{"text":"Question: Calculate the remainder when 418 is divided by 135.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c be 1\/1 - 8\/(-2). Let m = 174 - 172. Suppose m*n + 1 = p + 95, 53 = n - 2*p. Calculate the highest common factor of c and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + sqrt(170)\/(sqrt(110)\/(sqrt(55)\/sqrt(5))) + (1 + (-3*sqrt(68) - sqrt(68)))**2*-6.\nAnswer: -6530 + 97*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -78 divided by -1\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 100*n - 274 = -4*s + 94*n, -4*n + 50 = -n - 79 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j*j\/j**(1\/5)*(j*(((j*(j*j*j**6*j)\/j)\/j)\/j)\/j)\/j)**36 assuming j is positive.\nAnswer: j**(1404\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*((sqrt(19) + (sqrt(19) + -4)*-1 + sqrt(19))**2 + sqrt(19)).\nAnswer: 210 + 54*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((i*i**(-6)*i*i*(i\/(i*i**3)*i)\/i)\/(i*i*i**(-3\/7)*i**3))**(-25))**(2\/45) assuming i is positive.\nAnswer: i**(740\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = 2*x**3 - 4*x**2 + 4*x - 2. Let i be (3 + (-8)\/3)*-3. Let n(s) = -4*s - 2. Let v be n(i). Calculate r(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 309 divided by -6?\nAnswer: -103\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 j, 1 u, and 1 m when four letters picked without replacement from joujm.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -39, -144, -319, -564?\nAnswer: -879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -478*m - 121*m - 28749 = 178*m for m.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -w**2 + w + 1. Suppose n - t = -4 + 3, -4*n + t = 16. Let r = -2 - n. Let v(c) = -5*c**2 + 1 + 4*c**2 - r. Calculate -k(g) - v(g).\nAnswer: 2*g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.4887 from -6470343.\nAnswer: -6470342.5113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) be the third derivative of y**4\/8 + y**3\/6 - 13*y**2. Let f be -2 + 2 + -1 + 0. What is s(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l**(-8)\/l)**2)**14 assuming l is positive.\nAnswer: l**(-252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1085 and 21049?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 39 = 4*s - 1. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2.07 + -1.9. Let c = d - 0.1700007. Round c to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*g - 10*g - 2*g = -80 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -11*c + 175. Let w(m) = 19*m - 354. Determine -5*g(o) - 3*w(o).\nAnswer: -2*o + 187","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Are 1\/3063 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express 177 + 6*x - 177 + 0*x in the form g*x + f and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d - 3*d + 3*x = 126, -2*x + 669 = 5*d. Suppose -v + 4*v - d = 0. Which is the third biggest value? (a) -0.1 (b) -5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: Work out 42 * 0.35531617.\nAnswer: 14.92327914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -19\/77232 and -4\/41.\nAnswer: 3166512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 102408 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -572 divided by 4.\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2\/3)\/(6\/90*5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -4 + -30401?\nAnswer: -30410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 3 (base 6) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q + 35 - 10 = 0, -r = -2*q + 10. Suppose r = 8*k - 7*k - 2. Suppose -2*l + 0 = -6, a + k*l - 9 = 0. Solve 3*n + a*g = -21, 5*n - n + 33 = -5*g for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 88\/33*(-3)\/(-2). Solve -2*c + 5*c + 5*j + 15 = 0, -a*c - 3*j = 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence app when three letters picked without replacement from pap?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 354839 to the power of 1\/2, to the nearest integer?\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*a + 2*r - 18 = 0, -5*a + 1039 - 1024 = 15*r for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} {"text":"Question: Let u = -37 + 36.99. What is the fourth smallest value in 0.2, 0.5, 0.06, u?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -8780*g - 5. Let p(k) = 56*k + 1. Determine m(p(j)).\nAnswer: -491680*j - 8785","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v = 8 - 278. Let j = -145 - v. Suppose -4*g = 41 - j. Calculate the remainder when g is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = 2*k + 4. Let h(i) = -i - 2. Let v(l) = -l - 1. Let m be v(-7). Suppose -3*u + 7 = -32. Let a(d) = m*y(d) + u*h(d). Calculate a(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 147797 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -4 times -1.441161\nAnswer: 5.764644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h = 4*h + 5. Let l = h - -6. Let m(u) = 6*u + 1. List the prime factors of m(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or 5\/317?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*w**4 + 26*w**3 - 90*w**2 - 50*w + 500.\nAnswer: -2*(w - 5)**3*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9235*o**3 + 1850 - 1850 + 38*o**2.\nAnswer: 9235*o**3 + 38*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -14, -9, 20, 85, 198, 371, 616?\n\"Answer: 2*f**3 - 9*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x - 2*i = -10, 33*i = -5*x + 36*i + 57. Solve -3*w + 0*m - 3*m = -x, -4*m + 17 = -w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5293885 is divided by 2452?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -269*w**3 + 67*w**3 + 67*w**3 + 69*w**3 + 65*w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 274 is divided by 7 - (-6 + (1 - -1) - 63)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -131*g + 65. Let o(h) = 263*h - 129. Let x(n) = 11*d(n) + 6*o(n). What are the prime factors of x(5)?\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 22 + -20. What is the third derivative of 587*c**4 - 16*c**6 + 17*c**f - 587*c**4 wrt c?\nAnswer: -1920*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r*r**(1\/8))**(-47)\/((r\/(r**(-25)*r*r*r))\/r*r*(r\/(r\/r**(1\/4)))\/r) assuming r is positive.\nAnswer: r**(-601\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 92 a factor of 186533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = 36*v**3 - v + 4. Let n(h) = 108*h**3 - 3*h + 11. What is -4*n(o) + 11*s(o)?\nAnswer: -36*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -295, -336, -425, -580, -819, -1160?\n\"Answer: -3*z**3 - 6*z**2 - 2*z - 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 5 + -0.01917023?\nAnswer: 4.98082977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 8360, 16665, 25014, 33401, 41820, 50265, 58730, 67209?\n\"Answer: -n**3 + 28*n**2 + 8228*n + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = -174*b**2 + 4*b. Let a(z) = -132*z**2 + 3*z. Let l(d) = -4*a(d) + 3*v(d). Let m(t) be the second derivative of 17*t**4\/12 - t. What is l(m(h))?\nAnswer: 1734*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1702 is divided by 711.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*l + 29 = -1. Suppose 0 = 4*b - 4 - 0, -5*a + l*b = -310. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c = -632416 + 2432416. Round c to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*i - n - 7, -3*n + 31 = 4*i - 0*n. Let t be (-3 + 3)\/(-2) + i. Suppose -2*x + 44 = t. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -n + 12. Let a(m) = 40*m**2 + 39*m**2 - 101*m**2 + 24*m**2. Give a(d(k)).\nAnswer: 2*k**2 - 48*k + 288","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -139506365, -279012725, -418519083, -558025439, -697531793, -837038145?\n\"Answer: m**2 - 139506363*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 3 and -465?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 179*n + 162*n + 15*n - 1424 = 0. Put 5, -10, 14, n, -4 in decreasing order.\nAnswer: 14, 5, n, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -1.44413 * -41.\nAnswer: 59.20933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 51\/5 of a litre?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 23 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -289*g + 277*g = -420. Calculate the greatest common divisor of g and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 344254*v + 106390*v + 175722*v.\nAnswer: 626366*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g = -5.034 + 0.034. Sort g, -2, 0.5 in descending order.\nAnswer: 0.5, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 38, 9, -21 in ascending order.\nAnswer: -21, -4, 9, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -582, -1261, -1940, -2619, -3298?\n\"Answer: -679*w + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 20\/9 or 9097289?\nAnswer: 9097289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -385*k = -5863 - 9537 for k.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*w + 6, -3*p + 3*w + 364 = -2*p. Let d = p - 258. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 2414813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*y - 2*f - 54 = f, -36*y + 20*f - 22*f - 104 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 293*h**3 + 192403*h**2 - 192403*h**2 - 2*h.\nAnswer: 293*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 5\/3486 and 149\/335118.\nAnswer: 27814794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:31 AM and 9:48 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 765, 6195, 20981, 49809, 97365, 168335, 267405, 399261?\n\"Answer: 781*r**3 - 8*r**2 - 13*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 7\/2 of a decade?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -4*f**2 - 2*f - 7. Let r(p) = 4*p**2 + 2*p + 8. What is 3*o(b) + 2*r(b)?\nAnswer: -4*b**2 - 2*b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v = 2*t - 4*v + 34, 7 = -t + 4*v. Let o = 30 + -30. Is t equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 31636 - 108?\nAnswer: 31528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h = 76 - 134. Let o be (-6)\/3 + h + 1. Let y = 169 + o. Calculate the greatest common factor of y and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0 or -709\/165300?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) be the first derivative of 1\/3*w**3 + 2*w**2 + 4 - w. Is 9 a factor of f(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26*j = -2*j. Solve 2*k + j*k = 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -55*r**3 - 2*r**2 - 2*r + 872 wrt r?\nAnswer: -330*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v = -40.2 - -37. Let u = v + 3. Suppose -f = -4*f + 6. Which is the smallest value? (a) f (b) u (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 160*f**3*i**3 + 2*f**3*i - 48785*f**2*i**5 + 3887*f*i - 1088 wrt i.\nAnswer: 960*f**3*i - 975700*f**2*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 7020\/70 - 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-3)\/14*-2)\/((-773)\/(-10822)). Let i(g) = g**2 - 4*g - 2. Let f be i(4). Let t be (f + 1 + 1)\/2. Solve t*b + q = 3*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.4519*0.02533\nAnswer: -0.011446627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.6 and 199.\nAnswer: -119.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.158 + -0.158045. Round v to six decimal places.\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 234593 is divided by 35?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-522)\/6*(-2)\/6.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 2, 3, 1, 872, 5 in decreasing order.\nAnswer: 872, 5, 3, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g = 19 - 15. Suppose -22 = -d + g*i, 8*d - 3*d - 89 = -i. Is d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((c*c*c\/(((((c**(-3\/5)*c)\/c)\/c)\/c)\/c)*c)\/(c**2*c))\/(c*c*c*c*c\/(c\/(c\/(c\/((c*c*c**1)\/c)*c))))**(-6))**(3\/10) assuming c is positive.\nAnswer: c**(519\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1287? (a) 0 (b) -11.2 (c) -3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 321 (base 15) to base 4\nAnswer: 23002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -1\/8 (b) -1\/3 (c) -2\/15 (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = d - 8*d + 54005. Suppose -3*t + 2038 = -d. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -415508 + 334068385\/804. Find the common denominator of -23\/1072 and i.\nAnswer: 3216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify j\/j**(-3)*j\/((j*j**(-2))\/j)*j*j*j*(j*j*j**(1\/2))**0 assuming j is positive.\nAnswer: j**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -174630.09535 to the nearest integer.\nAnswer: -174630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i - 96 = 54. Suppose -l = 4*l - i. What are the prime factors of (-28)\/10*l\/(-3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 24.50691 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 6237961718017 minus 0.3?\nAnswer: 6237961718016.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 5331, 10184, 18295, 29664, 44291, 62176?\n\"Answer: 1629*w**2 - 34*w + 3736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = q**3 - 5*q**2 + 5*q - 4. Determine v(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*w = 28*z - 33*z - 5, -2*w = -3*z - 2 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*z + 13*z - 1 = 0. Let y = z + 8. Suppose 0 = -2*t + y*t - 287. What are the prime factors of t?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2093 + 7*s - 2147 + 4240.\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r = -222 + 537. What is the remainder when 45\/36 - r\/(-4) is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 10\/13 (b) -25 (c) 1\/2 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(sqrt(325)*2*1 + (sqrt(325) - (1 + sqrt(325))) + -2))**2.\nAnswer: -1500*sqrt(13) + 32725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -589, -638, -771, -1030, -1457, -2094, -2983?\nAnswer: -4166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 r and 1 w when two letters picked without replacement from berrwrkbbbbbb?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (9*w - 54 + 54)*(w + 6*w - 5*w) + 1064*w + 67*w**2 - 1064*w.\nAnswer: 85*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 45064*x**6 - 9*x**2 + 382 wrt x?\nAnswer: 5407680*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = -15*h**2 + 58. Let c be z(-8). What are the prime factors of (15 + -17)*(c\/4 + -1)?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 48179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 2322 divide 1422789093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x = -429 + 429. Sort -1, x, -3 in decreasing order.\nAnswer: x, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 6286 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -6995650 rounded to the nearest 100000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-6*-1*sqrt(204) - 4*1*sqrt(204))\/(1*sqrt(300)*4 - -3*((sqrt(300) - -1*sqrt(300)) + sqrt(300)))*-5)**2.\nAnswer: 68\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 116803 to the power of 1\/2, to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 40663243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) be the first derivative of l**2\/2 - 1. Let o(p) = -1 + 3*p + 1. Determine o(j(h)).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*c - 4*c - 4 = -3*l, 0 = -5*c + 3*l - 2. Let x be 1\/(2 + -1) - 10. Let s be ((-3)\/x)\/(c\/36). Solve -4*n - 30 = n - 5*t, 5*n = -4*t + s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2025.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wwhlhlpwplawbwl. What is prob of picking 1 w, 1 b, and 2 p?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 25 a factor of 3000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 36944446 a multiple of 386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 6, q: 3, s: 6}. What is prob of picking 3 s?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = -2*n**2 + 192*n - 1315. Calculate m(80).\nAnswer: 1245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u be (0\/(-9))\/(-4 + 5). Let y = 10 - 3. Let d = y + -3. Solve -d*m + u*m + 4 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-18)\/(-8)*(-2)\/(-2)*12. Suppose 11*n = p + 72. Calculate the remainder when 25 + ((-4)\/(-6))\/(8\/(-12)) is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5 + (3 - 0) + (19 - (58 - 18))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {a: 2, w: 7}. Give prob of picking 1 a and 3 w.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/2 in -30, 137.364, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l + 4*p + 5 = 0, -3*l = -0*l + 3*p. Let x = -0.071 + 0.471. What is the nearest to l in x, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) be the second derivative of -g**6\/10 + 77*g**4\/12 - 429*g**2\/2 + 438*g. Differentiate b(s) with respect to s.\nAnswer: -12*s**3 + 154*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*w - 15 = 37. Suppose -w*t = -25 + 5. Solve -t*a + 0*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.0196 + 51.0196. What is the nearest to -1 in -1, 1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1\/325 or 0?\nAnswer: 1\/325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -q**2 - 27*q + 54. Determine w(-30).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 5, 0.3, 105\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-2478)\/(-1080) - (-10)\/(-8) and -73\/129.\nAnswer: 1935","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -54\/35 and 421\/(-630) + ((-1)\/2)\/(-1).\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -321, -692, -1089, -1524, -2009, -2556?\nAnswer: -3177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = x**2 - 17*x + 16. Let v be q(16). Which is the closest to -1? (a) 1 (b) v (c) -2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8316*k**3 - 8316*k**3 + 24950*k**3 - 8286*k**3.\nAnswer: 32*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -p**2 - 2 - 107550279*p + 2 - 2.\nAnswer: -p**2 - 107550279*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express (-j**2 - 4*j**2 + 3*j**2)*(1 + 2 - 2) + 2 - 2 - 2*j**2 + (-23 + 23 + 2*j)*(-1 + 0 + 2)*(3*j + 3*j - 7*j) in the form b + l*j**2 + m*j and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = -5*f - 46. Let h be r(-11). Factor 3*a**5 + a**3 - 10*a**3 - h*a**3 - 4*a**4 + 7*a**4 + 15*a - 9 + 6*a**2.\nAnswer: 3*(a - 1)**3*(a + 1)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*((sqrt(33)\/(sqrt(9)\/(sqrt(3) + (1*sqrt(3) - sqrt(3)) + sqrt(3) - sqrt(3))) - (sqrt(11) + -2 + sqrt(99) + sqrt(11) + -4))*-2 + 1)**2.\nAnswer: -4125 + 880*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = c**2 + 6*c + 2. Let v be q(-6). Suppose v*p - 5*w = 19, 20 = 5*p - 4*w - 2. Solve 0 = 3*k - 9, -3*k + 13 = 2*f + p*k for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l = o - 6, 6*o - 12 = -l + o. Suppose 0*m = -l*m + 104. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -2\/5 (b) 44 (c) 2\/13 (d) 2 (e) 15 (f) 7.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*l + 2091 - 2095 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 58 at most as big as 53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -351220, -351193, -351166, -351139, -351112, -351085?\nAnswer: -351058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = -217*o**2 + 2*o - 4. Let u(s) = 433*s**2 - 4*s + 10. What is 5*n(t) + 2*u(t)?\nAnswer: -219*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round -529.02 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is (1 - 0) + (-9 - (-7 + 3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 0, 36, 72, 108, 144?\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = o**3 + 2*o - 1. Let y be x(1). Let s = y - 1. What are the prime factors of 0 + s + -2 + 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -19*s - 9*s**2 - 15*s + 51*s - 17*s.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3 + (-45)\/(-10))*((-204)\/18 - -2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 60 + (-124 - (-112 - -14))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2068 and 7120124.\nAnswer: 2068","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let -2*o**4 + 242*o**3 + 55710*o**2 + 165406*o + 109940 = 0. What is o?\nAnswer: -115, -2, -1, 239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = h**3 - 9*h**2 - 8*h - 10. Let o be v(10). Suppose -o*b + 17*b = 462. Suppose 0 = -5*m - 22 + 192. Calculate the remainder when b is divided by m.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (12\/(-7))\/((-2)\/(-14)). Suppose 2*g = 34 - 6. Let z = x + g. Solve 3*p - z = 7 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (34\/5100)\/((-23)\/(6900\/(-25))).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q - 8933 = -m, -5*q + 14302 - 3157 = -3*m. Is q\/(1 + 2) - 1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -51 - -72. Calculate the remainder when 61 is divided by f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000114409412 to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*a**3\/7 + 18*a**2\/7 + 200*a\/7 + 384\/7.\nAnswer: -2*(a - 16)*(a + 3)*(a + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 347460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: (6\/(-2))\/(9\/2)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*i + 3*j + 2, -3 + 1 = -3*i - 2*j. Solve -t + 3 = -i for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -557971 + 783971. Round t to the nearest ten thousand.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(76) + (sqrt(76) - (sqrt(76) - (sqrt(76) + 2*sqrt(76)))))*5 - (sqrt(76) + sqrt(76)*-1*1 - sqrt(76) - sqrt(76)))\/(-2*sqrt(400)*6))**2*2.\nAnswer: 2299\/1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -1960, -7343, -16322, -28903, -45092, -64895?\n\"Answer: -o**3 - 1792*o**2 - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = 2\/409 - -1183\/8998. What is the nearest to 0.1 in 4, b, 1\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 3\/5 - (-1159)\/(-665). Let z be 1\/(1 - 2) + 3. Which is the third biggest value? (a) w (b) z (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-2 - -2) + (3 - 0\/2). What is the second derivative of 2*c + 0*c - 120*c**3 + 89*c**f wrt c?\nAnswer: -186*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -1 - 241*j + 126*j + 125*j - 4 as a*j + o and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 121 divided by -644111\nAnswer: -121\/644111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 66 = -3*p - 0*p. Let g(v) = v**3 + 8*v**2 - 4*v - 10. Let o be g(-8). Let j = o + p. Let d(m) = m**2 + m + 3. Calculate d(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 2, 1, -12 in decreasing order.\nAnswer: 2, 1, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b = -27821\/4580 + 57\/458. Let n = -7\/91046 + -452726207\/364184. Let w = n + 1240. Calculate the common denominator of b and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 21*r**2 + 4664*r\/3 + 148\/3 = 0. What is r?\nAnswer: -74, -2\/63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 915651?\nAnswer: 3, 11, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 25\/10 + (-1670)\/(-4)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + sqrt(18)\/sqrt(6)*2 + (sqrt(108) + 2)*1)*-2.\nAnswer: -16*sqrt(3) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*f - 2*o - 3, -3*f + 4*f = 5*o + 14. Let t be (-1)\/11*(-4)\/(-14). Which is smaller: f or t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1026135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = -14*p**3 + 2*p**2 - 1. Let k be a(-1). Suppose 6*w - w = -j - 19, -3*j + k = -3*w. Let o = 19 - j. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be -1*6\/48*-2. Put 2, 0.7, -4, l in decreasing order.\nAnswer: 2, 0.7, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 8 times -0.052\nAnswer: -0.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(sqrt(539) - (sqrt(539) - (sqrt(539) + 0))*-2)*2*6*-1)**2.\nAnswer: 1940400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: (-21 - -1 - (0 + -2)) + (412 - 410)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 46*d = -4*h + 41*d + 364747, -2*h - 5*d = -182361. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -15*f**3 - 681*f + 2739. Give d(4).\nAnswer: -945","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from bggiggibizigzzgig. Give prob of picking 1 i, 2 g, and 1 b.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 115c (base 14) in base 4?\nAnswer: 233032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -431*r - 34 - 481*r + 80 - 42 in the form g*r + c and give g.\nAnswer: -912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1 + 1242*m**3 - 3*m**2 + 3*m**2 - 2192*m**3 to z + i*m**3 + x*m**2 + h*m and give i.\nAnswer: -950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) be the second derivative of -y**4\/12 - y**3\/6 + 55*y**2\/2 - 2*y. Suppose 4*w + 0*g = g - 4, w + 5*g - 20 = 0. Is q(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2741176 divided by 4.\nAnswer: -685294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 1, t: 1, z: 1, v: 2}. Give prob of picking 1 w and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-56)\/(-168)*(-28)\/18*72\/(-21). Factor 1\/9*l**5 - r + 7\/9*l**4 - 16\/9*l + 8\/9*l**2 + 16\/9*l**3.\nAnswer: (l - 1)*(l + 2)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) be the second derivative of i**3\/2 - 39*i**2\/2 + 48*i. What is the remainder when 214\/10 + (-4)\/10 is divided by b(17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -t**2 - 56*t + 526. What is i(10)?\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 795009?\nAnswer: 3, 265003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 766 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1214442934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 2222162420 + -4?\nAnswer: 2222162414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 10 and 362?\nAnswer: 1810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*a**2 + 27834*a + 20172100.\nAnswer: 2*(a + 767)*(a + 13150)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -1, 46, 133, 260, 427, 634?\n\"Answer: 20*q**2 - 13*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 112449 divided by 1?\nAnswer: 112449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**(-12)*w*w**11)\/(w**(-3)\/(w\/w**(-10))))**(-1\/7) assuming w is positive.\nAnswer: w**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -12264560 (base 7) to base 14\nAnswer: -20bda0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -5779, -47, 22\/5 in descending order.\nAnswer: 22\/5, -1, -47, -5779","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = 16*k**2 - 144*k + 1. Let f be z(9). Are 2\/1987 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.8 in 46, -5, 341\/4, 2\/9, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = 112095238 - 53727192. Let d = h - 58368048.00000024. Let l = d - -2. What is l rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -2 + 2*u + 3*u**2 - 4*u**2 + 2*u**2. Let p be i(-3). Calculate the greatest common divisor of p and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) be the second derivative of q**5\/20 - 3*q**4\/4 + 7*q**3\/6 + 19*q**2\/2 + 28*q. Let r be a(8). Solve -r = -3*h - h - 3*v, 0 = -3*h + v + 5 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -2372070, -4744349, -7116626, -9488901, -11861174, -14233445, -16605714?\n\"Answer: z**2 - 2372282*z + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (13 + 4 - 16) + (3 - -1) - 12.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 157*r - 5633 = 26*r for r.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = 8*k**3 - 2*k. Let t(h) = 1 + h - h**3 + 6*h - 6*h. Let n(b) = -p(b) - 2*t(b). List the prime factors of n(-2).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in three tenths of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 1640, 3268, 4882, 6476, 8044, 9580, 11078?\n\"Answer: -t**3 - t**2 + 1638*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 748239?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = 9*z + 6. Let n be c(4). Let j be (-2)\/(n\/27) - -1. What is the nearest to j in -5, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.7 + -6.7. Let k = c + 7. Let t = k + -1.05. What is the nearest to t in 0.5, 2\/11, -4\/7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 560876936 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 2 - 1 - 725\/30 and (118\/70)\/(560\/784).\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 124637?\nAnswer: 23, 5419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o + 5*d + 50 = 0, 5*o - 62 = 2*d - 12. Is ((-36)\/(-8))\/(5\/o) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -19 divided by 5?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d = 9.9 - 10. What is the closest to d in -0.1, -1, 1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1587762 is divided by 7783.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n = 19.8 - 19. Let x = -131\/273 + 5\/13. Sort 5\/3, x, 0, n in increasing order.\nAnswer: x, 0, n, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*t + 19 = 4*z, 4*t + 0*z + 12 = 4*z for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n and 2 r when three letters picked without replacement from nnncrrrrrcnrnnlrlne?\nAnswer: 49\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 8\/339 and -95\/3003?\nAnswer: 339339","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -k**2 + 30*k + 208. What is q(36)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y be 75*-3*(-44)\/36. Let w = -211 + y. Solve -w*s + 15 = -59*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 19158, 17711, 16264?\n\"Answer: -1447*d + 20605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 394, 458, 520, 580?\nAnswer: 638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) be the second derivative of w**2\/2 - w. Let z(o) = -o + 6. Let q(u) = -6*b(u) + z(u). Let s(i) = i. Give s(q(l)).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 182303?\nAnswer: 11, 16573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 197 minutes before 3:06 AM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -1068641, -1068652, -1068677, -1068722, -1068793, -1068896?\n\"Answer: -o**3 - o**2 - o - 1068638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by -2861271.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} {"text":"Question: Evaluate (72\/(-60))\/((-351)\/1690)*9.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -0.5, 8, 1, -4, -11\/10 in descending order.\nAnswer: 8, 1, -0.5, -11\/10, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -5 (base 12) to base 9\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = -k - 1. Suppose 3*h + 4 + 4 = -2*b, 2*b + 8 = -5*h. Determine s(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -546 by -6.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) be the third derivative of 17*j**5\/60 + 2*j**3\/3 - 35*j**2. Differentiate x(o) with respect to o.\nAnswer: 34*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 0.52 and 67.544.\nAnswer: 68.064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 24 and 1236.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((10\/25)\/((-1)\/10))\/(-22). What is the third smallest value in -4, 2.4, m?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose z + 2 - 4 = 0. Suppose -z*h = -3*h - 1. Let y = -44 - -89\/2. Sort h, 2, y in decreasing order.\nAnswer: 2, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y - 160 = 2*i, -5*y - 312 = -3*i + 64. Let d = y + 107. What is the smallest common multiple of d and 2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25 = 5*q + 23*w - 24*w, -4*w = 20. Sort q, 7, -2 in decreasing order.\nAnswer: 7, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t + 2 = -14. Let b = -14 - -9. Let u = b - t. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 46 + -14. Suppose -64 = 2*f + 4*i - 106, -f + 2*i = -41. Let x = f - a. Which is smaller: 1\/43 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from rxrxrrrfxxrfxfm.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -5, -11, 5, -1603, 4 in increasing order.\nAnswer: -1603, -11, -5, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*b - 11*b + 4023 = 0. What is the remainder when b is divided by 133?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -185.056 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 547255614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -18 = 5*u - u + h, 7*u - 12*u = -4*h + 33 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u = 459 + -461. Let r(w) = -w**2 - 1. Let z(p) = -p**2 + 3*p**2 - 3*p**2. What is u*z(n) + r(n)?\nAnswer: n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 247 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 1707186.933 to the nearest 10000.\nAnswer: 1710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 256 is divided by 252?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -10 in -0.01, -5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2\/13527 + -1366235\/54108. Calculate the common denominator of 1 - 20\/5 - -41 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = 2*f. Let g(l) = 3*l - 3. Let o(w) = -w**2 - w + 1. Let u = 5 + -8. Let a(x) = u*o(x) - g(x). Determine a(h(p)).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s = 337 + -146. Calculate the remainder when s is divided by (54\/(-45))\/6 - (-196)\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose a - 2 = -5*v, 4*v = 3*v + 3*a - 6. Suppose l + 4*m = 6*l - 146, v = -4*l + 3*m + 116. What is the remainder when 66 is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3 times -0.4?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*q - 6 = 39. Let z = -12 - -14. Calculate the remainder when q is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 275 + -169. What is the first derivative of -170*p**2 - q + 2*p**4 - 170*p**2 - 39*p**3 + 118*p**3 + 340*p**2 wrt p?\nAnswer: 8*p**3 + 237*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 893 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 4950444?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-6*(-1 + sqrt(76)))**2 + -4)*-5.\nAnswer: -13840 + 720*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a - d - 31 = 4*d, 10 = -5*a + d. Let i be (-51480018)\/a - (-1 + 3). Let r be i\/(-22) + 2\/11. What is r rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1074096209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = p**2 - 9*p + 2. Let u be g(9). Factor 2\/5*i + 4\/5 - 2\/5*i**3 - 4\/5*i**u.\nAnswer: -2*(i - 1)*(i + 1)*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-1 + (-2732)\/(-12))*(-23 + 20). Sort x, 0, 5, -4 in decreasing order.\nAnswer: 5, 0, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = -2*v + 11. Let d(k) = -k + 6. Let i(q) = 11*d(q) - 6*o(q). Let u(y) = 24*y - 4228 + 4228. What is u(i(t))?\nAnswer: 24*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is (3 - (2 - (3 + -2 + -1))) + -5 - 68?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = 6 - -1. Let s(h) = 3*h**2 - h - h**3 + 0*h + j*h**2 + 2*h**2 - 15. What are the prime factors of s(11)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -4*y. Let p(x) = -x - 8. Let q be 6*(232\/(-48) + 4). Let u(f) = f + 5. Let h(o) = q*u(o) - 3*p(o). Calculate j(h(s)).\nAnswer: 8*s + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n = -2 - 3, 50 = 5*s + 4*n. Let j(z) = -5*z - 406. Let p(u) = 3*u + 181. Let c(a) = 4*j(a) + 9*p(a). Let g(f) = -8*f - 5. Calculate s*g(k) + 7*c(k).\nAnswer: k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find f, given that -2*f**2 - 17350*f + 854952 = 0.\nAnswer: -8724, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 2654 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -726811, -726819, -726831, -726847, -726867, -726891?\n\"Answer: -2*s**2 - 2*s - 726807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 298619*j**4 - 87*j**2 + 2*j - 269 wrt j?\nAnswer: 7166856*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 51855.5453 to the nearest one hundred.\nAnswer: 51900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.11 or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 404 minutes before 4:56 AM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 15, 2, 4, -8, -3, -13 in descending order.\nAnswer: 15, 4, 3, 2, -3, -8, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -23455*l + 20 = -23458*l - 5*i, -8*l + i + 4 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -43\/49686 and 43\/58254.\nAnswer: 68914482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of h*i**2*k**2 + h*i**2*k - 8*h*i - 2*h*k**3 + 42*i**2*k**3 + k**3 wrt k?\nAnswer: -12*h + 252*i**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 13 or -1.46?\nAnswer: -1.46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28 = v - 3*v. Suppose -3*h + 8 - v = 0. Let i = 8 - 7. Sort h, -4, i in ascending order.\nAnswer: -4, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 168941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) be the first derivative of 7*k**6\/24 - k**5\/12 - 6*k**2 - 15. Let m(n) be the second derivative of q(n). Factor m(t).\nAnswer: 5*t**2*(7*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*m = -4*o + 25, 0 = -3*m - 4*o - 0*o + 23 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i + 2*w = 60, -5*w = -5*i + 14 + 86. Calculate the remainder when 87 is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose y = -5*y + 210. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6 = -2*b - 11*y - 80, -12*b + 3*y = -20*b + 2*b - 14 - 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = l**2 - 8*l + 7. Let g be v(6). Let s be 0 + -1 + (-215)\/g. Let h be ((-6)\/(-5))\/(3160\/525 + -6). Calculate the greatest common factor of h and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 3.37 - 0.37. Which is the biggest value? (a) f (b) 0 (c) 0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) be the third derivative of l**6\/360 + l**5\/30 - l**4\/6 - l**3\/3 + 4*l**2. Let n(w) be the first derivative of d(w). Give n(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 21e69 (base 15) in base 4?\nAnswer: 122111202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1402 a factor of 114971010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = z**2 + z. Let g be n(1). Solve -5*c = -4*d - 5, -g*c = -3*c - d + 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 102637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1246 take away -0.3153?\nAnswer: 0.1907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 132630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 305 - 144 = 162*h - 487. Let q(k) = -k**3 + 2*k**2 + 2*k - 1. Let r be q(2). Factor -4\/7*z**r + 0*z**2 + 0 + 0*z - 2\/7*z**h.\nAnswer: -2*z**3*(z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -234979 and -0.7.\nAnswer: -234979.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x = -815 + 1541. What are the prime factors of x?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 24787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: ((-20)\/(-88))\/((-8)\/(-3432)*130)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2771552.\nAnswer: 2, 7, 12373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = 38*z**2 - z - 1. Let j be f(-1). Suppose -9*n + 6*n = -15. Solve 0 = -n*w + 15, 3*y = 5*w - j + 11 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((y*y**(-4))\/y)\/y)\/(y\/(y\/y**(-6)*y))*y**7*y**(-12) assuming y is positive.\nAnswer: y**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 669 is divided by 515?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x = -3 + -6. Let f be (30\/25)\/(x\/(-240)). Calculate the remainder when 41 is divided by f\/(-48) - 47\/(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 37\/(-10) - (-3)\/15. Which is greater: -3 or u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 218.5 - 219. Let z = 0.7 - 4.7. What is the second biggest value in z, n, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = -37*g**2 + g + 4. Let n(w) = -72*w**2 + 2*w + 8. Calculate 3*n(x) - 7*t(x).\nAnswer: 43*x**2 - x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 184 minutes after 5:39 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 154 divide 317405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-2)\/4)\/((-4)\/(-48)). Let o = z - -7. Let h = 189 + -1321\/7. Do h and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -120*q + 31*q**5 - 7*q**5 + 117*q wrt q.\nAnswer: 480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 4, 2\/3, -3\/4 in ascending order.\nAnswer: -3\/4, 0, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -3*i**2. Let u(m) be the first derivative of -3*m**3 - 202. What is u(s(z))?\nAnswer: -81*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22404 + 41580 = 16*q. What is the hundreds digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-12*i - 26*i - 40 + 39)*(3 + 6 - 85*i**3 + 84*i**3).\nAnswer: 38*i**4 + i**3 - 342*i - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = 4*c + 3. What is d(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -597 + -0.3?\nAnswer: -597.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -2a1a (base 16) in base 10?\nAnswer: -10778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Are -1 and 16 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x = 18839883\/125890765 - 2\/880355. Let m = x + -4\/55. Sort m, 5, -0.4 in descending order.\nAnswer: 5, m, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(5*(sqrt(720) - (sqrt(720) - (sqrt(720) - sqrt(720)*2) - sqrt(720))) + sqrt(720) + 2 + 4 - (sqrt(720) + 5*(2 + sqrt(720)) + sqrt(720))*5))**2.\nAnswer: 574464*sqrt(5) + 13348096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -a**2 + 25*a - 48. Suppose 4*h + 91 = 5*q, 0 = 5*h - 4*h - 6. Give s(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -980, -965, -932, -875, -788, -665?\nAnswer: -500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.7 + 1.3. Let q be (-7)\/2*(-26128)\/322. Let c = q + -284. Put 1, k, c in decreasing order.\nAnswer: 1, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find j, given that 54*j**4 + 396*j**3 + 1038*j**2 + 1120*j + 392 = 0.\nAnswer: -7\/3, -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hbbnhgnnbwbynbbybwwb. What is prob of picking 2 b?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) be the second derivative of -13*o**3\/6 - 41*o**2 - 120*o. Calculate q(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (0 - 2) + 3 + -7 + -447 + 444?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = -3*b**3 + 3*b**2 + 3*b - 6. Let s(k) = k**3 - k**2 - k + 1. Let d(u) = -4*s(u) - t(u). Let z be d(2). Which is bigger: 2\/25 or z?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -81, 165, 593, 1209, 2019, 3029, 4245, 5673?\n\"Answer: b**3 + 85*b**2 - 16*b - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from jjffdjamjmaffmff. Give prob of sequence afdf.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 5966.08 rounded to the nearest one hundred?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = -13*z**2 - 92*z + 6. What is the remainder when 142 is divided by u(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) be the second derivative of -5*c + 0 - 1\/54*c**4 + 0*c**3 + 0*c**2 + 1\/36*c**5. Solve x(t) = 0 for t.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 divided by 25396?\nAnswer: -1\/25396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) be the second derivative of 17*l**3\/3 + 11*l**2\/2 - 121*l - 8. Calculate q(-4).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*a = 7*a, -5*o + 3*a = -145. Solve 5*c - 2*k = -28, -4*c = 33*k - o*k for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 56, -20, 2, -4, -5, -2.\nAnswer: -20, -5, -4, -2, 2, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1680 and 1895480.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 570*b = -416630 + 380150 for b.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.75942 rounded to two decimal places?\nAnswer: 0.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q = -534.1 - -480. Let c = -6.4 + q. Let u = c - -60. Which is greater: u or -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 3546216 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-6)\/(-2))\/((-5)\/(5\/(-1))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -2*b - 9. Let u be k(-7). Let h = 23 - 13. Let f = -7 + h. Solve u*w - 22 = -m, 2 = -m + f*w - 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 298 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g = -272 + 468. Suppose 3*y = -g + 484. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -j = -5*t + 24, -40*j + 35*j - 11*t = -7*t - 25 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -1121*j - 1341. What is the units digit of t(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2990 and 71630234?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.08, -1\/3, 0.5, -144, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-8)\/(-100) - 208\/100. Let h = -8 + 5. What is the fourth biggest value in -1, v, h, -0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -9708 - -9708. Solve -4*s + 5*c = -45, m = -s + 3*c + 12 + 8 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.655932 kilometers in meters?\nAnswer: 655.932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = -213 + 213.088. Let b = o - 0.488. Sort -1\/2, 2, 1\/4, b.\nAnswer: -1\/2, b, 1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*-1*(sqrt(2448)*-2 + -3 - (sqrt(2448) - (sqrt(2448) + (sqrt(2448) - 1*sqrt(2448)*-2))))*-6)**2.\nAnswer: -64800*sqrt(17) + 2211300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 = 4*q - 44. What is the nearest to 0 in -4, q, -2\/13, -1\/4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -440 = 152*u - 162*u. Which is smaller: u or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*n - 60 = 5*n. Calculate the remainder when 5 + 3 + -3 + 49 + -49 is divided by (-28)\/n + (-6)\/(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = p**3 + 3*p**2 - 3*p + 2. Let g be (-5)\/2*(-18)\/(-15). Let t = 5 + g. Let o be 2*(-7)\/t - -3. Determine f(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = 11 - 27 + 11 - 7*l. Let f be d(-1). Solve -y - f*q - 8 = -0*y, 0 = 5*q + 15 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dkd when three letters picked without replacement from dzkzzzdrzkzdkdkd.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) 1 (b) -4\/3 (c) -0.2 (d) -1.51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -2 (base 13) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -4*a**3 - 3*a**2 + 8*a + 11. Let h be i(-5). Suppose l = -5*l + h. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = 27*d**3 + 592*d**2 - 46*d - 54. Calculate s(-22).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 209 = -5*n + n - a, 3*a = -4*n - 211. Let o be (0 + -4 - n) + -1. Suppose -2*k + t + 36 = -3, -k + o = 5*t. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 251 divide 10587431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 8 * -14.1591\nAnswer: -113.2728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2781414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y be (1 + -1)\/(2\/(-2)). Solve j = 3*r, y = 4*j + j + 5*r for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a - 4*k + 71216 = 0, -4*a + k + 27288 = -43908. Round a to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = 284*a**2 - 13*a - 13. Determine r(-1).\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 152061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 6 * -1.63\nAnswer: -9.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h = -560434 - -1372933. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 4 - 2 - 60949*i + 12673*i - 2 as s + z*i and give z.\nAnswer: -48276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 680 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -3*t + 5. Let q(x) = 2*x - 3. Determine -3*i(y) - 5*q(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 + i - 1 - 8)*(-5*i**3 - i**2 + i**2) to p*i**4 + z*i**3 + b*i + s + r*i**2 and give z.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.2, 6, 0.01, -450, -4, -2\/5.\nAnswer: -450, -4, -2\/5, -0.2, 0.01, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o = 374 - 335. Which is bigger: -0.3 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6612 divided by 6.\nAnswer: 1102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.67225 - -175.\nAnswer: 174.32775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.342569 * 0.086.\nAnswer: 0.029460934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = z**3 - 4*z**2 + 4*z - 2. Let u be y(2). Is 1 + 0 - 1940\/u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 48024706?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -4430*z + 4431*z + 12 = 3*f, 2*f = 2*z + 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 111 in 2\/11, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 10 and 1790.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is -667 greater than -668?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 42 divide 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 2046 and 108438?\nAnswer: 108438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand 9*q**2 - 26*q**2 - 27*q + 16*q**2 + (-q + 3*q - 3*q)*(2 + q - 2).\nAnswer: -2*q**2 - 27*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4\/(-4)*-10)\/((-34)\/17).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((l**(-7\/4)*l*l*l)\/l)\/l)\/(l*l*l*(l\/(l**(-40)\/l)*l)\/l*l*l) assuming l is positive.\nAnswer: l**(-191\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence oe when two letters picked without replacement from {m: 1, o: 1, e: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 o and 1 c when two letters picked without replacement from {n: 2, o: 8, c: 2}.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1719?\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 18 - (3 + -18 + 27)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 5, -0.5, 6, 0.3, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (55\/(-33))\/(1\/3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -98, -242, -620, -1346, -2534, -4298?\n\"Answer: -19*v**3 - 3*v**2 - 2*v - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -2c (base 16) to base 2\nAnswer: -101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 2420 (base 9) to base 15\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (91\/(-4))\/(-13)*-4*1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 285555 is divided by 995?\nAnswer: 985","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 25*x - 54*x - 2*x + 24*x.\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s = -4 - -5. Is s\/3 + (-1664)\/(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = -i**4 - i**3 + i**2 + i - 1. Let r(y) = 32 + 117*y**2 - 109*y + 42 + y**4 - 41*y**3 - 45. Let h(z) = 3*d(z) - r(z). Solve h(m) = 0 for m.\nAnswer: 1\/2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 74383350*s**5 - 2*s**2 + 2211117*s + 6 wrt s.\nAnswer: 4463001000*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k = -42 + 18. Calculate the remainder when ((-36)\/(-8))\/(30\/300) is divided by (k\/10)\/((-2)\/20).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 7, l: 1, o: 3, w: 6}. Give prob of sequence wo.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -2378, -2455, -2534, -2615, -2698, -2783, -2870?\n\"Answer: -b**2 - 74*b - 2303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (207\/(-28))\/((-11130)\/245) + 5\/(-40)\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -151646 or -151649?\nAnswer: -151646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 0.7430238cm in meters?\nAnswer: 0.007430238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -1706 + -59425513045?\nAnswer: -59425514751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o = -0*o + 15. Let h be (-2)\/5 - (-2)\/5. Let t be ((0\/(-4))\/5)\/1. Solve -5*z = t, -o*i + i + 5*z = h for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -y**2 - 712*y + 102785. Give z(123).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = 29*b**2 - 2*b - 1. Let y be z(-1). Calculate the greatest common divisor of y and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(147)*-5*6.\nAnswer: -210*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from pxxupuiuppxpp.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c be 40\/(-33)*9\/(-4). Let y(f) = -f**3 - 8*f**2 - 10*f - 17. Let s be y(-7). Which is smaller: c or s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z - 3*x = -z - 470, 3*z = -5*x + 706. List the prime factors of z.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 23 - -9 - (21 + -132 - 4).\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1.4 - 0.4. Let l = f - 1. Let a = 7.2 + l. What is a rounded to 0 dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) be the first derivative of f**3 - 4*f - 5\/2*f**2 + 1\/4*f**4 - 37. Determine c(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 44 + (40 + -41 - 72)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 3594, 3, -41, 2 in descending order.\nAnswer: 3594, 3, 2, -3, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g = 13*g - 32. Let c = -10 + 26. Suppose -4*b - c = -g. Sort 2, -1, b in decreasing order.\nAnswer: 2, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -173*h**3 + 55*h**3 - 5*h**3 + 32 - 11*h**3 with respect to h.\nAnswer: -402*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 215.00002757 - 215. What is z rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 3*(-22)\/(-1181 + -7)\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qzqq when four letters picked without replacement from {q: 1, z: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00019532916 rounded to six decimal places?\nAnswer: -0.000195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 + 0 + 0 + 5231*p**2.\nAnswer: 5231*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -2.166 rounded to 1 dp?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express a - 54 + 107 - 3*a in the form w + c*a and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = 5*p**2 + 9*p - 53. Let r(k) = -21*k**2 - 38*k + 216. What is -13*g(s) - 3*r(s)?\nAnswer: -2*s**2 - 3*s + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j**4\/8 + 4389*j**3 - 38989067*j**2 + 8118333300*j - 427673761250 = 0. Calculate j.\nAnswer: 106, 17450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort 4230, -4, -15, -2, -8.\nAnswer: -15, -8, -4, -2, 4230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7052 is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2679114.\nAnswer: 2, 3, 19, 71, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x = -0*x - 6. Suppose 0 = x*d - 7*d + 35. Let v(l) = l**3 + 4*l**2 - 11*l + 9. Is v(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -700424 (base 8) in base 13?\nAnswer: -806b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = 27*y - 15. Let j(k) = 4*k - 2. Let z(o) = 2*f(o) - 15*j(o). Let r be 8\/6*3\/2. Let q(t) = 4*t**2 - 3*t**2 - 2*t + r*t. Calculate q(z(c)).\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -3251, -13029, -29303, -52055, -81267, -116921, -158999, -207483?\n\"Answer: 3*h**3 - 3266*h**2 - h + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*j - 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23 = -3*d + 2*d - 5*m, 2*m - 6 = 0. Suppose 3*z + d = q, -5*q = -z - 2*z - 64. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = 2*j - 53. Let v(l) be the third derivative of l**5\/60 + 64*l**2. Determine f(v(z)).\nAnswer: 2*z**2 - 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 363276 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q = -6636 - -6655. Which is smaller: q or 59\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) be the first derivative of -y**3\/3 - 8*y**2 + 24*y + 443. Calculate m(-18).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 14231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uu when two letters picked without replacement from juyjrr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -43104195*n**2 + 4163431*n wrt n?\nAnswer: -86208390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000679 rounded to six dps?\nAnswer: -0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 51? (a) 0.14 (b) 2\/7 (c) 5 (d) -1 (e) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 66 + -77 + (16 - 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) be the first derivative of -1\/20*q**5 + 0*q**3 - 5 - 3\/2*q**2 - 5*q - 1\/2*q**4. Let a(g) be the first derivative of j(g). What is a(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2*(-4)\/8*1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = 5*a - 3. Let v(z) = -4*z + 3. Let f be (2\/6)\/(12*(-9)\/(-1296)). Give f*v(x) + 3*u(x).\nAnswer: -x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 816549373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -7964628*w + 102639742?\nAnswer: -7964628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:36 AM and 11:07 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l = 361 - 360. Let a be ((-5)\/1 - 0)\/l. Put -3, -40, 5, a in descending order.\nAnswer: 5, -3, a, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 4996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 586 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is g in -g**4 + 308446*g**3 - 23783808373*g**2 - 142711178388*g - 214070931684 = 0?\nAnswer: -3, 154226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = 11*a**3 - 2*a - 3. Give o(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: (((-26)\/65)\/((-44)\/(-1650)*-10))\/((-69)\/(-20))\nAnswer: 10\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0007000834 rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -22 = 2*n + 23*m - 19*m, 3*n - 2*m + 1 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1\/2, -4, -0.01, -113?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1016 + -24391\/24. Let q = 157409\/30 + -5247. Calculate the common denominator of q and i.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 14 and 3 + 0 + 5 - 2?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*o + 3*x + 5, 2*x = -3*o + x - 11 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o - 4 = 2*o - g, 3*o - 5*g = -20. Suppose 2*l + 2*l - 20 = o. Suppose -l = -s - 2. Solve r + r + s*m = -4, 0 = 2*r - 5*m - 28 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose n - 6 = -13. Let j be ((-2)\/3)\/(n\/(-3)). Let i = -2.93 - 0.07. What is the third smallest value in j, i, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -73*a**3 - 14*a**2 - 7*a. Let i(k) = -49*k**3 - 9*k**2 - 5*k. Let y(b) = -7*i(b) + 5*z(b). What is the third derivative of y(p) wrt p?\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*t**2 + t**2 + 5*t**2 - 3*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = i**3 + 5*i**2 - 8*i - 9. Let p be n(-6). Suppose p*d - 153 = -0*d. Let a = d + -20. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 237.9 + -0.1?\nAnswer: 237.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c + 4471 = 3*j, -100*c + 7482 = 5*j - 96*c. Is j a multiple of 280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 691397983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(sqrt(637) + -4))**2.\nAnswer: -224*sqrt(13) + 2612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 59 divide 6667?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 k and 1 w when three letters picked without replacement from wqkkcc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 94 a factor of 397150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 164385851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Divide 21232314 by 5.\nAnswer: 21232314\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l = 2, 3*l = -5*z - 4 - 2. Let u be (36\/(-14) + 2)*(-224)\/192. Suppose z + 0*r - u*r**2 + 4\/3*r**3 - 2\/3*r**4 = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*j - 20*j + u - 75 = 0, 0 = -5*u - 5. Which is the smallest value? (a) -2 (b) 0 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = -b + 7. Let w be o(8). Let l = w - -5. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -36\/2179 and -42\/67.\nAnswer: 145993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -a**3 + 21*a**2 + 96*a - 2263. What is i(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4 + (3 - 0) - (23 + -21) - -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -3\/17, 0.4, -13, -1\/3 in ascending order.\nAnswer: -13, -1\/3, -3\/17, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11100111110 + 100001100111101?\nAnswer: 100101001111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is ((-2)\/((-32)\/18))\/((-72)\/24)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p - 5*c + 3 = 7*p, -5*p + 3*c - 24 = 0. What is the nearest to 2\/7 in p, 0.5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 77002*x**2 - 77000*x**2 + 1 + 7 - 26*x in the form d*x**2 + k + u*x and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 + 22 = 12*v. Suppose 0*q = -2*q - 4*c + 14, 0 = -v*q - 5*c + 22. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1636 + 1607 + -37 + -1 + 5.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4 - 1598*l - 5*l**2 + 8*l**4 + 1597*l + 2*l**2 + 2*l**2 - 2*l**3 to d*l**4 + i*l**3 + f*l**2 + j + n*l and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is -17735*(29\/(-15))\/((-20)\/(-60)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -23932, 161.\nAnswer: -23932, -3, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a be 1 + -659 - -2 - -2. Let w = -338 - a. Suppose -5*o = w - 1021. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r and 1 e when two letters picked without replacement from {e: 1, g: 5, y: 4, r: 8}.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is (12\/10)\/((-9)\/30)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = 114 - 68. Let n = k - 27. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 2210 (base 6) to base 13\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 5 + -101?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -21 - 8 - (23 + -15).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 1868*-48\nAnswer: -89664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -35667945 + 0.0011.\nAnswer: -35667944.9989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -25775*u + 9041*u + 9822*u.\nAnswer: -6912*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -48512*h + 48475*h = 254 + 782 for h.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 12.692 plus 1.34?\nAnswer: 14.032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p = -175 + 1573\/9. Let d = -1.17 - -1.4. Let m = d + -0.33. Which is the nearest to 1? (a) -0.3 (b) p (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 134450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) be the first derivative of y**3\/2 - 5*y**2\/2 - 3*y - 3. Let m(n) be the first derivative of c(n). What is the derivative of m(q) wrt q?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g = 2*w + 18187, -30309 = -5*g - 29*w + 31*w. What is the hundreds digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -751*c**2*h**3 - 360*c**2 - 2 with respect to h.\nAnswer: -2253*c**2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/714 in -3\/7, -0.1, -1\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5379 is divided by 207.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (3*(-6)\/(-9))\/(36\/(-9))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*b = -t + 17, -1192*t + 1177*t - 4*b = 29 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-12 - (-85)\/7)*-14*(-6)\/8. What is x in 1\/2 + 3\/2*x + v*x**2 + 1\/2*x**3 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1465204 a multiple of 309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/3? (a) -119 (b) -3 (c) 1\/14 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-14)\/(-7)*(2\/(-3))\/((-58)\/87).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -2*n + 1. Let d be o(-7). Suppose 0 = -3*b - 15, -3*t - 2*t = 5*b + d. Calculate the smallest common multiple of t and (-6 + -6 + 6)\/(6\/(-4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -c**2 - 11*c + 156. Give u(-27).\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = 3*p. Let g(f) = -77*f**2 + 3867*f**2 - 130*f**2. Give b(g(i)).\nAnswer: 10980*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is (18\/15)\/(8\/(-20))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3 - -5) + 3 + (-6 - 5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in two fifteenths of a millennium?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) be the third derivative of -n**6\/720 - n**5\/30 - n**4\/6 + 4*n**2. Let i(u) be the second derivative of r(u). Give i(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -103*o**2 - 752210*o**3 + 75035*o**3 + 103*o**2.\nAnswer: -677175*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express 11*r - 5*r - 3*r + 3 + r**3 - 2*r in the form k + y*r + d*r**2 + p*r**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i + 52306 = 4*q - 31226, -4*q = -5*i - 83540. Is 125 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -189*z - 218 - 538 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (6*m - 15*m - 4*m)*((0*m + 0*m - m)*(2*m + 0*m - 3*m) + 3*m**2 - 3*m**2 + 3*m**2) to the form f*m**2 + j*m**3 + u + v*m and give j.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1\/1)\/((-267)\/356).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = 39\/124 - 2\/31. Let u = 49\/6 + -25\/3. Put a, u, -3 in ascending order.\nAnswer: -3, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 29, 0.5, -4\/7 in descending order.\nAnswer: 29, 0.5, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.4 - 0.3. Let h = 10097 - 10099. Put 3, -0.1, f, h in ascending order.\nAnswer: h, -0.1, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) be the second derivative of -1441*v**3\/6 + 306*v**2 + 230*v. What is the derivative of z(b) wrt b?\nAnswer: -1441","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 39239 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3768156*b**3 + 4*b + 1883990*b**3 + 1882597*b**3 - 4*b.\nAnswer: -1569*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 446391?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 2 (base 15) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 117122 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 448 minutes before 4:13 AM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -700 (base 9) to base 2\nAnswer: -1000110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((r**(-1\/3)*(r\/(r\/r**(4\/7)))\/r)**(-27))**44)**(-46) assuming r is positive.\nAnswer: r**(-291456\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -4 divided by 7971913?\nAnswer: -4\/7971913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify h*h**(-4\/11)*h**(-34)*(h**(-2\/55))**(-50) assuming h is positive.\nAnswer: h**(-347\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -3 (base 5) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -9, -1, -376 in decreasing order.\nAnswer: -1, -9, -376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -69*b**6 - 1017*b**4 + 348839*b**2 wrt b?\nAnswer: -8280*b**3 - 24408*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s be -2 + 2 + 4 + -2. Calculate the least common multiple of 3\/(-6) - (-11)\/s and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q + 5*g = 8 - 2, -3*q + 46 = g. What are the prime factors of (3 - 57\/21) + 318\/q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = y**3 + 5*y**2 + 2*y - 6. What is the remainder when 10 is divided by i(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = 6*s + 29. Is x(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 43703, 87355, 131007, 174659, 218311?\nAnswer: 261963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q = -4*q + 6. Suppose -78 + 288 = q*b. Calculate the greatest common divisor of 7 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -140533902*c**6 - 273630482*c**2.\nAnswer: -16864068240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w be (2 + 0)\/(-14 + 680\/48). Solve n = 4*n - w for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 168518627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m - 4*u + 25 = 0, -3*m + 15 = -2*u - 2*u. Let b be 1\/4*(5 - -7). Suppose b*o - 4 - 11 = 0. Solve m = o*x + 30 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(38)\/(sqrt(2) + sqrt(50)*-1).\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = r**3 - 8*r**2 - 5*r - 8. Let j(n) = -n**2 + 9. Let x be j(0). Let d be c(x). Let h = d + 11. List the prime factors of h.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = -12*j - 8*j - 7*j + 25*j. Let c(r) be the third derivative of -r**5\/10 - r**2. Give c(f(g)).\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 458329809 to the nearest integer?\nAnswer: 21409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = -5*f**2 - f - 1. Let v(y) = -14*y**2 - 2*y - 3. Suppose 146 - 498 = 32*i. Give i*h(t) + 4*v(t).\nAnswer: -t**2 + 3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Work out 206037108 * 2.\nAnswer: 412074216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = 4*z - 33. Let u be q(8). Let o be (u + (-145)\/(-10))\/((-2)\/12). Is o less than or equal to -80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 349523807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 159942?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*g - r = -27 + 1 - 0 - 34, 120 = g + 2*r for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = 0 + 27*n**3 + 1 - 2 - 30*n**3. Let j = -1 + -1. What is the units digit of u(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -90 + -481302?\nAnswer: -481392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) be the third derivative of f**5\/60 - f**4\/8 + f**3\/2 - f**2. Suppose 5*l = 2*t + 38, -2*t = l + 3*t + 14. List the prime factors of c(l).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 552 = 106*f - 104*f. What is the greatest common factor of 12 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 67 divide 871?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 f and 1 y when three letters picked without replacement from {f: 4, a: 2, y: 1}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 949098 and 195906.\nAnswer: 1902","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6878*u**2 + 28 - 6878*u**2 - 6*u - 7*u**3 to p*u**2 + b*u + r + g*u**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**13)**(6\/7) assuming o is positive.\nAnswer: o**(78\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 + 0 = -2*w. Suppose -o + 2*o = i + 6, -2*i = 5*o + 5. Sort w, -1, o in ascending order.\nAnswer: -1, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22 + 8 = -2*w + 3*d, -d + 35 = 5*w. Solve l + 6 = w for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-k**2 + 3*k**2 - 6*k**2)*(2*k - 3 + 3) + k**3 + 2*k - 2*k + (-k**3 - 2 + 2)*(-2 + 4 + 0) as y*k + m*k**2 + x*k**3 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(-4 + sqrt(175)))**2.\nAnswer: -160*sqrt(7) + 764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-3)\/(-9) + (-44)\/(-12). Solve -2*w = 6 + z for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 - 0.04165?\nAnswer: 0.95835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m = 3 - 4. Let q(i) = -i**3 + 4*i**2 - 6*i + 3. Let z be q(2). Let p be 35 - (m + z + 1). What is the highest common divisor of 4 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3 - 3 - 157*l - 1048*l.\nAnswer: -1205*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3510407?\nAnswer: 127, 131, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 1237000 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-5 + sqrt(176) + 0 - 4*(-1 + sqrt(176))) + -3)**2.\nAnswer: 96*sqrt(11) + 1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 4\/11? (a) -0.13 (b) 5 (c) 7.6 (d) 0.4 (e) 4\/7 (f) -19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -7 = 5*z - 3*d, -557*z - 4*d = -561*z - 20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify x**(-2\/5)*x*x\/x**(4\/5)*(x**(-4)*x)\/(x*x**(-2\/11))*((x\/(x*(x**(-3)*x)\/x))**33)**(-2\/57) assuming x is positive.\nAnswer: x**(-6784\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 0.4 times 164\nAnswer: 65.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*i**4\/6 - 326503795*i**3\/6 - 326503775*i**2 - 1959022610*i\/3 - 1306015060\/3.\nAnswer: -5*(i + 2)**3*(i + 65300753)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 9367, 27595, 57967, 100477, 155119?\nAnswer: 221887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = y. Let t(u) = 24*u**2. Determine t(c(h)).\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*w + 5*z + 199, 3*w - 591 + 393 = -6*z - 429 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 154, 299, 438, 571, 698, 819?\n\"Answer: -3*a**2 + 154*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*f = -11*f - 30. Suppose 35 = -5*u + f*j, -u - 2*j = -2*u - 9. Suppose 3*r - 6*r + 3 = 0. Sort 3, r, u in descending order.\nAnswer: 3, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -163675, -163653, -163595, -163483, -163299, -163025, -162643?\nAnswer: -162135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3*h**4 + 46*h**3 + 538*h**2.\nAnswer: -72*h + 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = -y + 6. Suppose -2 = -2*g - 3*x, -14 = 3*g - y*x - 0. Let k(i) = i**2 + 2. What is the units digit of k(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -2.113843992 to two dps.\nAnswer: -2.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s = -49677 - -49680. Solve x = 5*g + 14, s*g - 4*g - 3*x = 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 47*a - 9*a + 30*a to the form s + j*a and give j.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cpi when three letters picked without replacement from piiccppcccpcicic?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/2 of a millisecond in microseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -j**5\/3 - 3*j**4 + 3350*j**3\/3 - 1110*j**2 - 3349*j\/3 + 1113 = 0 for j.\nAnswer: -63, -1, 1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 - (3 + -8 + 7 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence txto when four letters picked without replacement from {l: 1, x: 8, t: 2, o: 4}.\nAnswer: 8\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -18*k**2 + 9*k**2 - 1 + 1.\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j = -220 + 656. What are the prime factors of j?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -6.6 - -6.6. Sort z, -4, -8 in decreasing order.\nAnswer: z, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 6, p: 2, w: 1, c: 3, h: 2}. What is prob of sequence cp?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 14213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*((5*-4*sqrt(363))**2 + sqrt(363)) - (5 + sqrt(363) + 0 + sqrt(363) + 5 + sqrt(363)).\nAnswer: -290410 - 55*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1\/(-2))\/(4\/16).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 7 and 67209786.\nAnswer: 67209786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j = -99 - -274. What is the third derivative of -41*x**2 - 74*x**6 - x - 36*x**2 - 174*x**5 + j*x**5 wrt x?\nAnswer: -8880*x**3 + 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 136 divide 43285808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r, 1 h, and 2 z when four letters picked without replacement from rchccccztcctccczzc.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 3251995 and 526?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3 or -34\/19?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(-1*sqrt(847) + 1).\nAnswer: -3 + 33*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -286, -822, -1356, -1888, -2418, -2946, -3472?\nAnswer: -3996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = 7921 + -56262\/7. Let h = q + 116. Sort -0.5, 0.2, 5, h in decreasing order.\nAnswer: 5, 0.2, h, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -3 - -8. Let z(b) be the first derivative of b**2 - b + 1. Let r(k) = 118*k + 6 - 121*k - 4 + 0. Give q*z(p) + 3*r(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 4636335793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 8 + 3 - (10 - 15)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 363271404?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z be (1\/(-3))\/((-7)\/(-21)). What is the units digit of 1 - (-20 + 3\/z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1133132 is divided by 322.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r = 67 + -79. Let w = 34 + r. Calculate the smallest common multiple of 42 and w.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1)\/4*(-160)\/(-70).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -65312, -128536, -191736, -254900, -318016, -381072, -444056?\nAnswer: -506956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = c + 32. Let g(f) = -1. Let a(h) = 6*g(h) + 2*o(h). Let z be a(-28). Solve z*k + 40 = -3*k - 5*y, 3*y + 6 = 3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 483 + -1362. Let i = q - -878.99999147. Round i to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -8*h**3 - h**4 + 0*h**2 + 4*h**2 + 12*h**3 + h - 3*h**2 to the form m*h**3 + i*h + b*h**4 + c + s*h**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 3729474615 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = -121*g**3 - 44 + 23*g + 122*g**3 - 13*g**2 - 8*g**2. Let l be b(20). Solve -l = -4*h - 0*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 42.57 + -142.3\nAnswer: -99.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4 - 4 + 0 + 8*k.\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 1, m: 4, i: 1, w: 2, n: 7}. Give prob of sequence nww.\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*x - 3*x + 2*x)*(2*x**3 + x - x) + (2*x**3 + 0*x**3 + 0*x**3)*(-5*x + 2*x + x).\nAnswer: -2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express 2*y**3 + 120 - 107*y**2 - 76*y**2 + 183*y**2 as z*y + x*y**2 + d*y**3 + h and give h.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put together 1.0387 and -39.7.\nAnswer: -38.6613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3576*v**4 + 3226*v**3 + 7621683*v**2 wrt v.\nAnswer: 85824*v + 19356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1184 and 2043152?\nAnswer: 151193248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*c = 21*c - 12. Suppose c*t - 5*m = 60, 79 - 4 = 5*t + 5*m. Is t a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = 4*y, 3*u + 3*y - 40 = -2*y. Suppose 0 = -2*x + b - 3, x + u*b = -0*b + 15. Solve x = -4*h - h - 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 36581 and 0.104.\nAnswer: 36581.104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-1524)\/14 - (-1)\/(-7). Let g be (a - -20)\/(-1 + 0). Suppose -4*w + g = -115. Is 17 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 56635439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p be 232\/40 + 12\/(-15). Let o(k) be the first derivative of p*k - 5\/3*k**3 - 3 + 0*k**2. Find the first derivative of o(a) wrt a.\nAnswer: -10*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t\/t**13)\/t*t*t\/(t**(-12)*t)*t assuming t is positive.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 190739672.\nAnswer: 2, 461, 51719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 415 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1\/38233 or 1?\nAnswer: -1\/38233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p + 85 = g, 5*p - 50 = -2*g + 40. Let u be 4\/p + 38\/8. Suppose 0 = -u*h - w + 118, w = -h + 3*h - 50. Is 12 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5.90202537 rounded to one dp?\nAnswer: -5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 34147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f = -8 - -7. Let p(t) = -2*t**2 + t. Let o be p(f). Which is the closest to 0? (a) o (b) 0 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/3? (a) 5 (b) 1 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -60? (a) -4 (b) 4\/13 (c) 1\/5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 3, z: 6}. Give prob of sequence zl.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: Let w(u) = 7*u**2 + 45*u - 24. Let t be w(-7). Let y be 37 + 1*(0 - 2). Let m = y + -17. Solve 2*b = -0*b + t*o + 20, 0 = b - 4*o - m for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -41\/72 and 2\/3591.\nAnswer: 28728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express (1 + 1 + 4)*(-3*h + 2*h - 7*h)*(9*h - 1736 + 4*h + 1744) in the form r*h**2 + y*h + s and give y.\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -c - 4. Let k be j(-2). Let u be k\/3 + (-26)\/(-3). Let o(v) = v**2 - 7*v - 3. What is the units digit of o(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (sqrt(27)*6 - -2*sqrt(192))**2 + 5.\nAnswer: 3469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 779934 to the nearest ten thousand.\nAnswer: 780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = w - 2, -3*x + 14 + 22 = -3*w. Calculate the lowest common multiple of 70 and x.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = 3*l + 4*t, 5*l - 16 = l - 2*t. Suppose -4*o + 2 = -l. What is the third derivative of a**3 + 13*a**2 - a**3 - 20*a**o + 9*a**5 wrt a?\nAnswer: 540*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 624899261\/612 + -1021077. What is the common denominator of -127\/504 and m?\nAnswer: 8568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 238 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = b**3 - 5*b**2 - 7*b + 6. Let s be l(6). Suppose 4*k - 38 + 2 = s. Suppose 4*m = 63 + k. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x\/(x*x*x\/x**(-22)*x))\/x)\/(x**21*x) assuming x is positive.\nAnswer: x**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) be the third derivative of l**4\/6 - 18*l**2 - 2*l. Let o(d) = 2*d. Let z(f) = -13*o(f) + 6*v(f). Let r(m) = 24*m**2. Determine r(z(p)).\nAnswer: 96*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = 2*l**3 - 6*l + 10. Let i(j) be the first derivative of -j**2\/2 + 2. Let q(r) = 6*i(r) - s(r). Differentiate q(t) wrt t.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 15*x + 364 = -37*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 145719 and 6168.\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1904 - -1909. Sort -4, 3, 205, s in decreasing order.\nAnswer: 205, s, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: (1170\/(-630))\/((-7)\/(-147))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t be (3\/33)\/((-156)\/429). Let d = -0.3 - -5.3. Which is the closest to t? (a) 2 (b) d (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 7, a: 1, e: 1, f: 4, z: 2, b: 5}. Give prob of sequence azef.\nAnswer: 1\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = 2*o**2 - 21*o - 3. Let n be r(11). Suppose -10*a = -15*a + 10. Let g(y) = -y**a + 369 - 2*y + 11*y - 381. Give g(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 107\/62 - 73\/186. Let g = -25 + 36. Which is the third smallest value? (a) r (b) g (c) -2\/19 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 19 + (-16 + 25 + -7 + -5 - -7).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -17*x - 0*x - 102. Let k = x + 143. What are the prime factors of k?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -70285 + 140575 - 3*p**3 + 2*p**2 - 329*p - 70292 to the form f*p**2 + l*p**3 + k + s*p and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nntls. Give prob of sequence nl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 2741 or 2739?\nAnswer: 2741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in 2\/3, 0.1, -3, -2, -53864, 5?\nAnswer: -53864","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -20 = 5*h - 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Divide -1297453520 by 145585.\nAnswer: -8912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) be the third derivative of -1579*g**5\/60 + 313*g**4\/6 + 197*g**2. What is the second derivative of q(d) wrt d?\nAnswer: -3158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0.3, 2\/31, -0.12?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*i*j**3 + 25*i + 2*j**4 - 147*j**3 + 2*j**2 wrt j?\nAnswer: -12*i + 48*j - 882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4002549 divided by 1011.\nAnswer: 3959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*r**3 - 4*r**3 - 48030 + 48030.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.06 + 0.37. Let h = -3.57 - q. What is the biggest value in 4\/19, -2, h?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.1370813 decades to years.\nAnswer: 1.370813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.05 - 3.95. Let f = -65.59 + 66. Let w = f - 0.51. Put w, u, 3 in increasing order.\nAnswer: u, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = -c**2. Let t(j) = 8*j**2 - 2*j - 31. Determine t(a) + 3*x(a).\nAnswer: 5*a**2 - 2*a - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 - 41 = 5*a. Let f(i) = -i**2 - 8*i - 9. Give f(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r\/r**(1\/2))**(3\/5))**31*((r*r**(1\/2))\/((r*r\/(r**10\/r)*r)\/r))**3 assuming r is positive.\nAnswer: r**(174\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 4\/3 in 7, 1, 4\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 117 = 4*h - h + 5*w, -h + 49 = 5*w. Suppose 0*j + h = 2*j. Suppose -3*b + 13 = -2. Calculate the remainder when j is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = 2*j**2 - 6*j + 6. Let g(d) = d**2 - d + 1. Suppose 1 = -5*t + 6. Let u(y) = t*q(y) - 6*g(y). Let m(h) = -2*h**2. Give u(m(k)).\nAnswer: -16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = 6*q**2 - 4*q + 9. Let l(o) be the second derivative of -2*o**2 + 0 - 1\/4*o**4 - 32*o + 1\/3*o**3. Calculate -13*l(y) - 6*v(y).\nAnswer: 3*y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 9 less than 37108?\nAnswer: 37099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*k + 3*o + 324, -59 = 4*k + 2*o + 371. Let h = k - -184. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -4\/117 or -1572?\nAnswer: -1572","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 612639091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h be (1 - -6) + -1 + -2. What is the derivative of 3 + 0*n**4 - 3*n**4 - h wrt n?\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 - 2*d**2)*(-2 - 7 + 3 + (-1 - 1 + 0)*(-4 + 5 + 1) - 2 - 2 + 3).\nAnswer: 22*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -363 divided by 363.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j = -9 - 11. Let i = 99 - -42. Let u = i + -144. Sort j, 0, u in increasing order.\nAnswer: u, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 14, -2 in increasing order.\nAnswer: -2, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1449237 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c be (18\/12)\/((-2)\/(-4)). Suppose 0 = c*x - 5*x + 2. Let n = x - -3. Solve 3*m - n*q = 34 - 9, 11 = -3*m - 5*q for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 301365654 and 2076.\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 225.839475 microseconds in days?\nAnswer: 0.0000000026138828125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = 95\/143 + -11\/13. Which is the nearest to -2? (a) 0.2 (b) 2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.4 from 468163340634031.\nAnswer: 468163340634031.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r = 34 + 20. Calculate the remainder when r is divided by -2 - 3\/(3\/(-16)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 5? (a) -7 (b) 0.4 (c) -883001 (d) 3 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 143 (base 13) to base 3.\nAnswer: 22022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s be 0 + 0 + -2 - 24. Let r = 18 + s. Let j be (r\/(-12))\/((-4)\/(-18)). Which is the third smallest value? (a) 3\/5 (b) j (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.00254, -149, 2\/3 in descending order.\nAnswer: 2\/3, -0.00254, -149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -22*n**2 - 2488*n - 228. Give c(-113).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let -2*j**3 + 1872*j**2 + 13218*j - 15088 = 0. What is j?\nAnswer: -8, 1, 943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 423, 390, 341, 282, 219, 158, 105?\n\"Answer: q**3 - 14*q**2 + 2*q + 434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t + 8 = -17. Suppose -4*n + 3 = -t. Solve -s = -0 - n for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 9643268?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 91.9137051ns to weeks.\nAnswer: 0.00000000000015197371875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w be (12*(-12)\/240)\/((54\/(-5))\/6). Is w at least -45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 8330869, 8330867, 8330865, 8330863?\nAnswer: 8330861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1421695 or 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 46660739?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l = 4*l - 25. Let k be 4\/l*5\/2. Suppose k*y + 144000 = 4*y. Round y to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (5 + 2041\/(-403))\/(2*1*-4)\nAnswer: 1\/124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bvxx. Give prob of sequence vx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c = 6132 - 6141. Let j = 113\/40 - 29\/8. Is c < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 741\/143 - (-2)\/(-11). Calculate the remainder when (v + -7 + 1)*43\/(-1) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.01812706 to three decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(-1)*(g\/g**(-4))\/((g*g**1)\/g*g))\/(g*g**5*g\/((g**2*g)\/g))**(-19\/6) assuming g is positive.\nAnswer: g**(107\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} {"text":"Question: Let c(s) = -2*s**2 + s - 1. Determine c(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2891 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 - 3 = -3*f - 2*b, 5*f - 39 = -4*b. Calculate the remainder when f is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 71\/14806 and -73\/242.\nAnswer: 162866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = 7*w**2 - 136*w - 1422. Determine k(27).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.091, -3.4, -3, 2\/11, 2 in descending order.\nAnswer: 2, 2\/11, 0.091, -3, -3.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 995692 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 second derivative of -220734*x**4 - 53634*x?\nAnswer: -2648808*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = -5*n + 11. Let m(d) = 9*d - 21. Let q(x) = 4*m(x) + 7*v(x). Let g be q(-7). Let c = -8 - g. Solve -2*z - c = -4*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((k*k*k**(-3))\/((k*k*k\/(k*k**5)*k*k*k)\/k))\/(k\/(k*k**0*k))**14)**(2\/59) assuming k is positive.\nAnswer: k**(28\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = j**3 + 4*j**2 + j + 3. Let m be -5*-2*2\/(-5). Give i(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert b243d (base 15) to base 16.\nAnswer: 89d67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = 7.94488 + 0.04112. Let x = r + -8. Round x to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2259 a factor of 725737188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -0.5 * -150577\nAnswer: 75288.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 5d8c49 (base 15) to base 6.\nAnswer: 240042453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 11942239?\nAnswer: 743, 16073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*s**2 + 62*s - 60 = 0 for s.\nAnswer: 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*i + 25*b + 12 = 29*b, 0 = -2*i + 5*b for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*z - 12*z + 10*z + 13 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = 4*p + 1. Let i be d(1). Let c be (2 + 1 - i)\/(-2). What is the third derivative of 25*z**4 + 0 + z**5 - c - 200*z**2 + 196*z**2 wrt z?\nAnswer: 60*z**2 + 600*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (12 - -53) + -24 + -31 + (-10 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c - 8*c + 12 = 0. Let r be 2\/c*(2 + -5). Sort -1, r, -3 in ascending order.\nAnswer: -3, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2252009597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) be the second derivative of i**5\/20 + i**4\/12 + i**3\/6 + 7*i**2\/2 + 2*i. Let y be 2\/(-4)*0\/(-1). Give r(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8520*n + 195648 = -4436*n + 8144*n for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 12*h - 14*h + 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = v - 3. Let m(f) = -3*f - 18. Let t be (((-2)\/4)\/(7\/14))\/(-1). Let q(z) = t*m(z) - 6*j(z). Let u(x) = 18*x**2. Calculate u(q(y)).\nAnswer: 1458*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 27380654 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 2, s: 3, z: 2, p: 3, c: 4, u: 4}. What is prob of picking 1 p, 2 z, and 1 s?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 5968 and 372?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 u when two letters picked without replacement from wueuuuubuybub?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 549? (a) 291 (b) 4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 355404 is divided by 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1117253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*g + 3*n - 18, 0 = 2*g + 3*n - 4 - 4. Let r be (-15)\/(-18)*-3*g. Factor 5*m**5 - 4*m**5 + 3*m**2 - 2*m**5 + 9*m**4 + 9*m**3 + 4*m**r.\nAnswer: 3*m**2*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = 2*p + 27. Let t be m(-14). Let c(l) = 6*l**3 + 4*l + 3. Let k(u) = -25*u**3 + u**2 - 17*u - 13. Let h(b) = 9*c(b) + 2*k(b). Determine h(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*i - 5*i = -13*l + 19, -6*i + 21*l + 36 = 13*l + 12*l for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 345 (base 8) to base 9\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -3547037 (base 9) to base 12.\nAnswer: -7877b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 3*c**2 + 7*c*s - 5*c + 9*s - 23 wrt c?\nAnswer: 6*c + 7*s - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.4, 23847, 1\/5, -0.3?\nAnswer: 23847","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 249, 468, 657, 816, 945, 1044?\nAnswer: 1113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -4\/9*i**4 - 4*i**3 + 0*i + 0 - 32\/9*i**2.\nAnswer: -4*i**2*(i + 1)*(i + 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -296, -1172, -2640, -4700, -7352?\nAnswer: -10596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 1 + n - 2*n)*(-6*n**2 + 25*n**2 + 2*n**2).\nAnswer: -21*n**3 - 42*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 10457668?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = 8*a + 56. Suppose o + 1 = 4*o - 5*i, 0 = 5*i - 5. Suppose -f + 2*r + 7 = 0, o*r + 25 = -5*f - 0*r. Put a, f, -58, 4 in descending order.\nAnswer: 4, f, a, -58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 798570 less than 361?\nAnswer: -798209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m - 5 = 6*c - 3*c, 2*c + 8 = m. Put -2, c, -3 in increasing order.\nAnswer: c, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = u**3 - 5*u**2 - 8*u - 9. Let n be a(6). Let q = 26 + n. Suppose -3*r = 3*z - 2*z - 2188, -10892 = -q*z + r. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 11, h: 1, z: 1, q: 4}. Give prob of sequence ooh.\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -12238 or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = -7*p - 1. Let a(j) = -8*j - 3. Let o(b) = 2*a(b) + 6*w(b). Suppose -2*u - 3*u - 95 = 0. Let y be o(u). Round y to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h\/h**(-2\/9))\/h**(-2\/27)*(h\/(h*h\/(h\/(h\/(h*(h\/(h\/(h**3\/h)))\/h))*h*h)))\/(h**(-10)\/h*h) assuming h is positive.\nAnswer: h**(386\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = 363*q**4 - 828*q**2 + 2*q + 2. Let n(z) = 1471*z**4 - 3312*z**2 + 9*z + 9. Let w(i) = -9*a(i) + 2*n(i). What is the third derivative of w(m) wrt m?\nAnswer: -7800*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*b**4\/5 + 8502*b**3 - 42507*b**2\/5.\nAnswer: -3*b**2*(b - 14169)*(b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -271*n + 282*n = -269 + 1259. Calculate the least common multiple of n and 630.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = 3*h + 1. Suppose 3*y + 2*f + h*f = -11, -5*y = 3*f - 3. Suppose -s + y*s = 4. Solve -2 - 14 = 4*u - 2*o, s*o = 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 825, 1626, 2401, 3138, 3825?\n\"Answer: -2*t**3 - t**2 + 818*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 4, r: 5, i: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 96095?\nAnswer: 5, 19219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 253209114?\nAnswer: 2, 3, 73, 131, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (-1438)\/(-9) + (-52)\/(-234)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 28591896019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*f + 2*f = -85. Put f, -1, -9, 5 in descending order.\nAnswer: 5, -1, f, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) be the third derivative of g**5\/20 + 261*g**4\/2 + 136242*g**3 + 9*g**2 + 1. Solve w(j) = 0.\nAnswer: -522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2 - 2 + 2*g + (0*g + 2*g + 0*g)*(-4 - 1 + 3) - 533 - 57*g - 23*g + 481.\nAnswer: -82*g - 52","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -13 = -3*s + 48*b - 49*b, -3*s - 7*b = -19 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 41\/1827648 and -119\/384768.\nAnswer: 7310592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = q**2 + 4*q + 9. Let p be w(-4). Solve 4*y = y - p for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-105 + 105 + q)*(-6 + 3 + 4)*(27 - 27 - 21*q**2) to h*q**2 + y*q + l + u*q**3 and give u.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 3, -4, 1.7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m be 6\/671*8\/60. Let n = 15551\/3355 + m. Calculate the common denominator of 49\/(-3*10\/(-24)*-4) and n.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -h**3 + 2*h**2 + 4*h - 3. Let a = 5 - -9. Suppose -3*b - 5*c = -50, b + 0*c = c + a. Suppose 0*t = -5*t + b. Calculate q(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -5524 - -5525. Which is the nearest to -82? (a) 2 (b) y (c) -1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3501 is divided by 3 - (42\/(-8))\/((-36)\/(-480))?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 25 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1102 divided by -2.\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -2*c. Let h(k) = -k**2 - 12*k + 1418. Determine i(h(w)).\nAnswer: 2*w**2 + 24*w - 2836","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 418 = 9*a + 598. Let y = -176 - -181. Sort 3, a, y, 2.\nAnswer: a, 2, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -6 + 6. Let h = b + 3. Suppose -8*l + h*l = -40. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*o + 4*o + 0*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 753449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is -2599120 at least as big as 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r - 19 + 2 = -5*f, 0 = -3*f - 3*r - 9. Let z be 367\/(-4*f\/(-88)). Suppose 5*s + 8400 = o, -s = 3*o + z - 33274. Round o to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 1.00586 * 130.\nAnswer: 130.7618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f - 15 = 0, -2*g + f + 0*f = -7. Let o be (-12)\/g*(-80)\/12. What is the units digit of 4\/(o\/(-204))*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -43077 * -0.3\nAnswer: 12923.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -62*h**2. Let s(a) = 4 - 16 + 8 - 3*a**2 + 4. Determine q(s(p)).\nAnswer: -558*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*m = 4*u - 5*u - 67, -922 = m + 5*u - 899 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 g and 1 m when two letters picked without replacement from {h: 1, w: 1, o: 1, g: 2, m: 2}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) be the third derivative of p**4\/6 - 7*p**3\/6 + 3*p**2. Let l(f) = -1. Let b(u) = -k(u) + 5*l(u). Is 17 a factor of b(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + ((-389)\/(-63) + -6)\/((-3)\/(-18))?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put 8.4, -0.7, 2\/11, 1\/3 in decreasing order.\nAnswer: 8.4, 1\/3, 2\/11, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 7\/((-7)\/(-22))*1\/4*-2\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 78*r - 31726 = -22*r - 2626. What are the prime factors of r?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-18)\/120)\/((-18)\/(-16)). Let x = o - -4\/5. Let x*f**2 + 0*f + 2\/3*f**4 - 4\/3*f**3 + 0 = 0. Calculate f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/4 of a gram in milligrams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 3, x: 2, f: 4, z: 1}. What is prob of picking 1 z, 2 o, and 1 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 689 minutes before 12:54 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -5 = -3*n + 5*c, 4*n - 1297*c = -1301*c - 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -13\/2142 and -127\/1020.\nAnswer: 21420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/2? (a) -1.5 (b) -10 (c) 0.07 (d) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 3275857 (base 9) in base 16?\nAnswer: 1ae585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3*k - 6*k + k)*(2*k - 1 + 1) - k**2 - 4 + 4 + (-13*k - 15*k + 7*k)*(k - 2*k - 2*k) + 9*k**2 + 8*k**2 - 7*k**2 to z*k + c + j*k**2 and give j.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose f = 13*f. Solve -3*j - 3 + f = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v + 0*v + 36 = 0. Let x(u) = -3*u - 8. Let k be x(6). Let q = k + v. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 109746 and 806?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:30 PM and 4:45 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find z such that 5*z**2 - 38640*z + 1652275 = 0.\nAnswer: 43, 7685","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 582 minutes before 9:21 PM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t = 58.18 + -58. Put 0.2, -1, -2\/23, t in descending order.\nAnswer: 0.2, t, -2\/23, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 187883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 56*v**4 + 32*v**3 + 1459*v**2 - 2*v - 1?\nAnswer: 1344*v + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -n - 4 - 9 = 2*q, 61 = -4*q + 5*n for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 309715*c**4 + 44*c + 43974240 wrt c.\nAnswer: 1238860*c**3 + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 5 divided by -337\nAnswer: -5\/337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 923?\nAnswer: 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.3 in 0.5, -2.2, -5, 4, 44\/787?\nAnswer: 44\/787","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = 15 + -11. Suppose 2*y = h*k - y + 3, 5*k + 3*y - 3 = 0. Let u(j) = j**2 - j + 15. Is u(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2862\/(-234) - 6\/(-26)) + ((-145)\/(-7) - 1)?\nAnswer: 54\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 4*4\/6*3\/2. Suppose 0 = o + q*o - 495. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1107 and 7134?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 23.63 + 0.1?\nAnswer: 23.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.4414475 millennia to years.\nAnswer: 441.4475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q = 5*q - 48. Let d = -9 + q. Suppose 5 = 2*o - d. What is the greatest common divisor of 60 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 37, -2\/9, -142, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence if when two letters picked without replacement from {f: 1, y: 1, v: 3, i: 2, e: 6}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n = -178.7 - -193. Let j = n - 14.29999345. Round j to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -16.2 - -15.8. Suppose 3*l - 3 = 5*w, -w + 3*l - 3 = w. What is the closest to 0.2 in -5, w, g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 12987179\/411 + -31599. Sort -2\/3, l, 1\/5, -5, -0.1 in ascending order.\nAnswer: -5, -2\/3, -0.1, l, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 24, -2, -1 in descending order.\nAnswer: 24, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) be the second derivative of 7\/4*x**4 + 0 + 0*x**2 + 0*x**6 + 1\/28*x**8 + 0*x**3 + 26*x + 0*x**7 + 0*x**5. What is the third derivative of l(o) wrt o?\nAnswer: 240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 309 + -294. Calculate the greatest common divisor of 135 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -u**2 + u - u + (-5 + 5 - 2*u**2)*(1 - 2 + 3) - u**2 - u**2 + u**2 + u - u - u**2 + 0*u**2 - 2*u**2 + u**2 + (-u**2 - 2*u**2 + 0*u**2)*(-2 + 2 - 3).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 290425 = 8316*z - 166955 for z.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 6.8 + 3.2. Let a = s - 9. Which is bigger: -3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q - 38 - 57 = 0. Let r be q + (2\/(-1) - -3). Suppose 5*o = 205 - r. Is o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i - 18 = -3*w + w, 5*w - 43 = -3*i. Suppose -12*a + 368 = -w*a. Is 23 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5 - 77149?\nAnswer: -77144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*v + 2*q - 1 + 5, -3*v - 3*q - 15 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 6627312 and 1566.\nAnswer: 6627312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) be the first derivative of u**5\/50 - u**4\/20 + 10. Solve g(j) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 48770899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = 2*x + 0 - 3*x - 2 + 3. Let o(z) = 8*z - 4. What is -4*l(f) - o(f)?\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 4, i: 4, v: 8}. Give prob of sequence iv.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor -6*n**3 + 27*n**2 + 51*n + 18.\nAnswer: -3*(n - 6)*(n + 1)*(2*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = 133*y**2 - 45*y. Let u(x) = -67*x**2 + 20*x. Let s(o) = 4*h(o) + 9*u(o). Let l(j) = 5*j**2 - 5*j. What is l(s(z))?\nAnswer: 25205*z**4 + 355*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*y + 17 = 24*b - 5*b, -6*b - y + 83 - 15 = 4*y for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-2)\/(-3))\/((-22)\/6). Let q = -176 - -175. Which is the second biggest value? (a) q (b) f (c) 5\/6 (d) 1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 787 + -2706?\nAnswer: -1808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 136574 is divided by 1919?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -9*o - 8 + 12 - o. Is 13 a factor of g(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1136 - 419 - 717 - 11*a.\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((0 + 1*sqrt(175) + sqrt(175) + 4 + (sqrt(175) - sqrt(175)*1*5 - -1*(sqrt(175) + -1)))*4)**2.\nAnswer: -480*sqrt(7) + 2944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from qqwqwqqqqw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = -i**3 + 8*i**2 + 5*i + 1. Let k be x(8). Let g = -25 + k. Does 8 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 788 = 4*p - 0*t - 4*t, 5*p - 988 = 4*t. Let z = -153 + p. Calculate the remainder when 271 is divided by z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -24 + 44. Let y(i) = -i - 2. Let n be y(-4). Let b be n - -24*(-1 - -3). Calculate the highest common divisor of h and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10877 to the power of 1\/2, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -204166104 divided by 102083052\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 100230791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -98 (b) 2\/19 (c) -45 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2756618494 to the nearest integer?\nAnswer: 52504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = -24*v**2 - 1158*v + 4867. Calculate l(-52).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d*d\/d**(-1))**(-5))**(1\/28) assuming d is positive.\nAnswer: d**(-15\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = -k**2 + 16*k - 16. Let l be w(14). Let p = -12 + l. Let q(a) = -a**3 + a**2 - a + 12. Determine q(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -8.183 + 8.283. Let g = -1.8 - -2. Which is the third biggest value? (a) g (b) 7 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 7, y: 1, l: 6, m: 6}. What is prob of picking 2 l, 1 y, and 1 m?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Divide 259812 by 3.\nAnswer: 86604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hmuhmumuuummuuuu. What is prob of picking 2 m?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 13821079297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*i + 0 + 0)*(-3*i + 4*i + i) + (-4161 + 125*i + 4161)*(4*i + 0*i - 2*i).\nAnswer: 246*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:27 PM and 3:55 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -55 = -3*m + 2*m. Suppose 5 = 4*b - m. Let g be -9*((-5390)\/33)\/14. Calculate the greatest common factor of b and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*w**2 + 607644*w - 46153903842.\nAnswer: -2*(w - 151911)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m = 5657 + -4994. Which is smaller: 662 or m?\nAnswer: 662","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 36 - 9. Suppose 13*i - 25 = d. Let w(n) = n**2 - n. Give w(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(22)\/sqrt(2)*1 + sqrt(99) + -1 - 5*(2*sqrt(99) + sqrt(99)))**2.\nAnswer: 82*sqrt(11) + 18492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Determine l so that 14*l**4 - 38*l**3 - 68*l**2 + 152*l + 48 = 0.\nAnswer: -2, -2\/7, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is -12231\/139 at least as big as -87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 16 a factor of 4594483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -8da - -1c1?\nAnswer: -719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 214860, 428992, 643124, 857256?\n\"Answer: 214132*k + 728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -11, -39, -117, -269, -519, -891, -1409, -2097?\nAnswer: -2979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 2 and 16.9148?\nAnswer: 33.8296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -155 divided by -271667\nAnswer: 155\/271667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 11, 10, 9, 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0 (base 14) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 209606960.\nAnswer: 2, 5, 2620087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 + 8 = 5*t. Let a(i) = 2*i - t*i + i + 4*i. Let l(v) = 2*v + 11. Let z(p) = p + 4. Let y(b) = 4*l(b) - 11*z(b). Give a(y(q)).\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 171*c - 434*c**3 - 342*c + 170*c to s*c + k*c**2 + v + w*c**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1383*d*s**3 - 4021710*d*s + 190*s**4 - 3*s**2 wrt s?\nAnswer: -8298*d*s + 2280*s**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 180 and 72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1\/(((-1)\/1)\/(-12 - 1)). Let x(g) = -g**2 - 16*g - 17. Let c be x(-15). Let w be c\/10 + 588\/15. Calculate the greatest common divisor of v and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) be the third derivative of f**4\/4 + f**3 - 3*f**2. Let u(a) = -11*a - 11. Suppose 5*r = -w + 4*w - 32, -2*w = -r - 12. Determine r*u(h) - 7*b(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 4, o: 6}. What is prob of sequence ov?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from pmm. What is prob of picking 1 p and 1 m?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 7095 a multiple of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -108*h**2 - 168513*h\/8 + 170241\/4 = 0. What is h?\nAnswer: -56747\/288, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 3067 - -33a1?\nAnswer: 6438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) be the first derivative of -s**3\/3 - 9*s**2\/2 - 22*s - 12. Let i be m(-5). Let u(r) = -3*r + 0 - 2 + 0 + 0. Give u(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = 8*x**2. Let y(k) = 4722896*k. Calculate v(y(d)).\nAnswer: 178445973014528*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 745282525?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 110100010110110011001000 (base 2) to base 8.\nAnswer: 64266310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 3\/40 of a meter?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-60)\/36 - (-4)\/6. Calculate the common denominator of x\/(1\/(-2)) - (-755)\/(-100) and 63\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -8544\/1771 - 160\/161. Is j smaller than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 1807950 to the nearest one hundred thousand.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q = -54 - -28. Let s = q + 42. Let y be 4\/(-30) + s\/20. What is the closest to -1 in -0.5, y, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:58 PM and 8:50 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -5*y**2 - 83*y + 581. Calculate k(-16).\nAnswer: 629","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c = 4 + -7. Let v = -3 + -1. Let n = 5 + v. Put c, 2\/19, n in ascending order.\nAnswer: c, 2\/19, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -11.445 * -7\nAnswer: 80.115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1717465947932797\/6252 + 274706646130. Let g = 15\/2084 + j. Let f = g - 575. Calculate the common denominator of 31\/7 and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5116015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 73593, 147187, 220779, 294369, 367957, 441543, 515127?\n\"Answer: -g**2 + 73597*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-8 - (-2 + 7)) + -17 + 13?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1*-8 - (3 - (-19 - -26)). Sort 55, 21, v.\nAnswer: v, 21, 55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**(-5)*i**6)\/(i\/(i**(-6)\/i)*(i**1*i)\/i*i))\/((i*i\/(i\/(i\/i**2)*i)*i*i\/(i\/(((i\/(i\/i**(-2\/11)*i))\/i)\/i)))\/(i**(-1\/2))**(-4)) assuming i is positive.\nAnswer: i**(-42\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-176)\/(-33) - 2\/6) + 2. What is the common denominator of 37\/42 and ((-21)\/(-6))\/(1\/g)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 169\/30 and 115\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + -1*(-2*(sqrt(171)*-1 + sqrt(171) + sqrt(171)))\/(sqrt(9) + sqrt(81)*-5 + sqrt(9) + sqrt(9))*3 + -2.\nAnswer: -3 - sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 11, p: 3}. What is prob of sequence pt?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8234629?\nAnswer: 13, 43, 14731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 25 - 30*i - 48*i - 23*i - 25.\nAnswer: -101*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Divide 15608256 by -6.\nAnswer: -2601376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x = -23 + 17. Let g = -5.9 - x. What is g rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = 13*a - 2. Suppose -k - 103 = 5*v - 5*k, 5*k + 85 = -5*v. Let d = -17 - v. What is the units digit of x(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9478 = -60*b + 193078. Is 36 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 279 and 21297.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:54 PM and 11:24 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort -313, 3, -2\/7, -0.9, -0.3 in descending order.\nAnswer: 3, -2\/7, -0.3, -0.9, -313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in -66, -97, -128, -159, -190?\nAnswer: -221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 x and 1 m when three letters picked without replacement from kxxsxkmkmsxksks.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -88*q**2 - 90*q**2 + 358*q**2 - 86*q**2 - 92*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*w**2 + 0*w**2 + 0*w**2)*(-2 - 2 + 7) + 17*w**2 - 30*w**2 - 46*w**2.\nAnswer: -53*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 7594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = -11*a - 30. Let v be g(-12). What is the units digit of (30\/16)\/(51\/340)*v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-1686326)\/405960 - 1\/(-12). Which is greater: t or -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 33 + -25. Suppose -1 - 7 = p*o. Let n(m) = -40*m + 3. What is the remainder when n(o) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i**4 + 19*i**2 - i**3 + 4*i**3 - 17*i**2 = 0. Calculate i.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = 6*c - 2. Suppose -5*z - 10 = 5*y, -16 = z + z + 5*y. Calculate the remainder when 29 is divided by q(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 43 + 35 - 59 + 6*v + v - 19.\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = -4*u**2 + 1 + 6 + u**3 + 7*u**2 + 6*u**2. Let k be s(-9). Let o be (-2)\/(0 + (-2)\/k). What is the highest common divisor of o and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -26.5 - -28.11. What is n rounded to 1 dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = 45 - 45 - q. Let m be (2 + -3 - (3 - 1)) + 5. Let v(y) = -19*y**2 - 6*y**m - 9*y**2. What is v(g(h))?\nAnswer: -34*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*v**3 + v**5 + 0*v**3 + (-2 - 2*v + 2)*(3*v**4 - 4*v**4 + 2*v**4) + 102*v + 23*v**5 - 102*v.\nAnswer: 22*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*v + 8*v = -3*z - 15, -3*v + 22 = -4*z. Which is the closest to 0.1? (a) 13\/7 (b) z (c) 3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 19\/10 of a gram in milligrams?\nAnswer: 1900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-17)\/(-17)*(-1 - -10). Suppose -2*h + r = h. Let s(a) = a**3 - 3*a**2 + a. Calculate s(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p\/p**(2\/49)*p*(p\/(p\/(p**(-1\/15)*p))*p)\/p)**(29\/3)\/((p*p**(2\/9))\/(p**(-5)*p*p)*p**(-1\/4)\/p**(-2\/5)) assuming p is positive.\nAnswer: p**(23117\/980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -116*z + 137 - 21. Let q be 139\/4 + 1\/4. Let r be (-8)\/28 - (-87)\/q. Which is greater: z or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 20554 and 4302?\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve h - 3274439*w = -3274441*w - 15, -132 = 16*h + 5*w for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 17.14572m in nanometers?\nAnswer: 17145720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1121148 to the nearest integer?\nAnswer: 1059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (sqrt(720)*1*-5)**2.\nAnswer: 17999","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(1\/2))**(-4\/9)\/(h\/(h\/h**(1\/4))*h*h**(-3\/8)) assuming h is positive.\nAnswer: h**(-79\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1349 - 1346. Solve -v - l + 5 = 0, 5*v - 14 = f*v - 4*l for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 5 + -3 + (1 - -1). Let d be 4\/12*-2*-3. Suppose d*h + l = -3*h + 15, -2*h + 4*l = -6. Which is smaller: h or w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*u = 5*u + 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w = -15172189\/198 + 76627. Let q = -2429\/396 - w. Let r = 19587 - 509191\/26. Calculate the common denominator of r and q.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9036446 is divided by 4518148?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -3*w**3 - 12*w**2 - 235*w. Let o(q) = -7*q**3 - 27*q**2 - 471*q. What is 4*o(a) - 9*x(a)?\nAnswer: -a**3 + 231*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 13022312322 (base 4) to base 3.\nAnswer: 10112111011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 413370 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1723*a + 2117*a + 982*a - 672*a + 2075*a to z*a + y and give z.\nAnswer: 6225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 1501 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Multiply -18.86 and 4.\nAnswer: -75.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p be 7 - (0 - 6\/(-2)). Let l = 5 + p. List the prime factors of l\/(-2)*40\/(-6).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 300 and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r = -50 + 60. What is the greatest common divisor of r and 610?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*d + 1787 = 280. What is the remainder when d is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-11*v**2 + 17*v**2 + 47*v**2)*(3*v**2 - v**2 - 3*v**2) + (-2 + 2*v + 2)*(5*v**3 - 2*v**3 - 5*v**3).\nAnswer: -57*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 88200.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k*k**(2\/7))**(-4\/15)*((k\/(k*k\/((k*(k*k\/k**(1\/5))\/k)\/k)))\/k)\/k**(-2\/9))\/((k**(-3\/2)*(k**6*k)\/k)\/((k**4\/k)\/(k\/k**5))) assuming k is positive.\nAnswer: k**(743\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (35\/15 - -3)*(-37 - -76) is divided by 59?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -74 = -q - 3. What is the remainder when q is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*w - 41 + 21 = 0. Suppose -w*p - 196 = -200. Let u be (2\/20)\/(1\/(-2)). Which is the closest to p? (a) 2\/3 (b) 3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dd when two letters picked without replacement from dmdmd?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(18)\/(sqrt(2)*3) + sqrt(9))\/(2*(sqrt(48) + sqrt(3))) + 0)**2.\nAnswer: 4\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00131278 to 5 decimal places.\nAnswer: 0.00131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 74666 to the power of 1\/2, to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 3317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 68 = -4*x + k, -4*x = 3*k + 106 - 38. Let r = x - -29. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 0 - 3\/(6\/(-8)). Let s(w) = -w + 1. Let l(o) = 3*o - 7. Let v(g) = l(g) + 4*s(g). Let x(z) = 1. Let i(b) = -v(b) - 3*x(b). Determine i(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 249\/126 - 20\/140.\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -652 = -8*u + 828. Is u a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*h - 5*n - 40, 5*n = -0*n - 25. Suppose -50 = -5*b + 30. Let z = -11 + b. Solve f = t - 2*t - h, 3*t + 25 = -z*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1143642 is divided by 401?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 290505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from uttmu. What is prob of sequence mmmu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) be the third derivative of 0*o - 5\/24*o**4 + 0 + 0*o**3 + 17*o**2. Calculate n(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 7571 and 339.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 7.14523 less than 2190532.47?\nAnswer: 2190525.32477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y = 479 + 1622. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -32947620*o**6 - 106996*o**2 + 142*o.\nAnswer: -3953714400*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z be (3 + -63)*(-4)\/3. Suppose -4*f + z = 3*s, -2*s + 32 = 2*f - 10. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-7 + 7 + 0)\/2. Suppose 3*m = 11 - 2. Solve h*f + 6 = m*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 34081655 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 706251238 to the nearest integer?\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -0.616 and 8.2138683994?\nAnswer: 8.8298683994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor -d**2 - 15*d + 16.\nAnswer: -(d - 1)*(d + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = -v**3 + 12*v**2 - v + 17. Let a be q(12). Suppose 4*p + 3*f - 183 = 0, -a*p + 5*f + 30 = -225. Does 19 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) be the third derivative of -h**7\/945 - h**6\/540 + h**5\/45 + h**4\/27 - 8*h**3\/27 + 15*h**2 + 21*h. Let g(b) = 0. Calculate b.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = b**3 + 14*b**2 - 9*b + 91. Let r be v(-15). Which is bigger: r or 1\/255?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:42 AM and 1:16 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1202 + 121?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c be (4\/10)\/(15\/75) - -16. What is the greatest common divisor of 1764 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 391826161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7822*t**2 + 914485*t - 914485*t.\nAnswer: -7822*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 58, 90, 122, 154?\n\"Answer: 32*s + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 109, 93, 65, 19, -51, -151?\n\"Answer: -b**3 - 9*b + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-78 - 9)*(-2)\/(-6). Let o = g - -46. Solve -4*d + d + o = 2*u, -4*u + 14 = 2*d for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve r + 2760 - 2739 = -2*r - 3*b, -8*b - 20 = 4*r for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = 2720*i - 65275. Give u(24).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = 3*l**2. Let a be ((-2431)\/(-3432))\/(1 - 0). Let c(p) be the third derivative of 22*p**2 + 0*p + a*p**4 + 0*p**3 + 0. Calculate r(c(g)).\nAnswer: 867*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or 1\/4257774?\nAnswer: 1\/4257774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n and 1 i when two letters picked without replacement from {t: 2, n: 4, i: 1, p: 2}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5427*a**2 - 1857*a**2 - 1714*a**2 - 1863*a**2.\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*h - 2515 = 2176 - 1590. Calculate the remainder when h is divided by 86.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-20)\/75*(-125)\/(-50).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) be the third derivative of 281*f**4\/24 - 99*f**3 + 147*f**2. Differentiate y(n) wrt n.\nAnswer: 281","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -9? (a) -5 (b) 0.00448 (c) 5 (d) -7 (e) -5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -279947697 - -44\nAnswer: -279947653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = 1955*l + 7984. Determine t(-4).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 17411 and 198582?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -3848, -3846, -3844, -3842?\n\"Answer: 2*o - 3850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -10, 1, 588, 2, -7 in decreasing order.\nAnswer: 588, 2, 1, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express 2*q - 2 + 3*q - 4*q + q in the form v*q + p and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-10)\/(-20))\/((45\/260)\/9*2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(240)\/sqrt(900))\/(-2*sqrt(48)*2))**2 + 1.\nAnswer: 2881\/2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2762787 is divided by 2145.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 31, -21, -73?\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*s - 3856 + 3850 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00693491 to four decimal places.\nAnswer: 0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = j**2 + 9*j - 43. Let t be s(-14). Suppose t*r - 31*r = -580. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 6\/5 (b) 0.3 (c) 0.0086\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v = 21141 - 16585. Calculate the remainder when v is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in five sixths of a day?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m be 2\/(-6)*(-4)\/4. Let g be (-736)\/23 - (-29 - -18). Sort m, -0.3, g.\nAnswer: g, -0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 1, r: 1, o: 2, h: 4, b: 3, x: 1}. Give prob of sequence xbw.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1610 and 30268?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put together 0.4 and 0.834.\nAnswer: 1.234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of ((80\/(-12))\/(-4))\/(1\/27)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 454*p**3 - 14392*p?\nAnswer: 2724*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -21321593 rounded to the nearest one hundred thousand?\nAnswer: -21300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 6885, 106 in decreasing order.\nAnswer: 6885, 106, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = -127*v**2. Let k(j) = -2*j**2 + j - 3272. Give k(o(i)).\nAnswer: -32258*i**4 - 127*i**2 - 3272","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 0.31 times 0.9231183\nAnswer: 0.286166673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert -100000100110001 (base 2) to base 8.\nAnswer: -40461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l*l**(-2\/9))**28\/(l**(-2)\/l**(1\/11)))**(-40) assuming l is positive.\nAnswer: l**(-94520\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*x + 20, -2*h - 2*h - 1168 = -4*x. Let f be (189\/3)\/(2\/(-6)). Let z = f - h. Does 18 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*z = 4*z, -2*n = 4*z - 72. Let i = n - 36. Solve i = v - 0*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-5)\/(-35) - 2\/(-84)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 32\/5 of a century in years?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n and 1 m when two letters picked without replacement from nnffnfnnmnhnfmn?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) be the second derivative of -5*i**4\/6 + 5*i + 164. Let g(h) = 90*h. Determine g(y(o)).\nAnswer: -900*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -153297*j**3*o**3*q - j**3*o*q**2 + 14*j**3*o + 3*j**2*o**2*q**2 + 1222*j*o*q wrt o.\nAnswer: -919782*j**3*o*q + 6*j**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g be -1 + 3\/(6\/364). Let o be 24\/9 + (4 - 3)\/3. Suppose -q + g + 975 = 4*c, -o*c - 1128 = -q. What is q rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 17, 78, 237, 542, 1041, 1782, 2813, 4182?\n\"Answer: 8*s**3 + s**2 + 2*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -j - 6. Let y be g(-5). Let v = -1.3 + 5.3. Let b = 0 + v. Sort y, -1\/8, b in descending order.\nAnswer: b, -1\/8, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*c + 7634 = -o + 7624, -2*c - 23 = 5*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 46 + 1 + (-320 - -167) + 178\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 725 is divided by 124?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 349 = v + 5*k, k = 4*v - 2*k - 1304. Suppose 0 = 3*u - 5*c - v, 4*u - c - 396 = 71. What are the prime factors of u?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -d**3 + 2*d**2 + 12*d. Let w(x) = -5*x**3 + 11*x**2 + 60*x. Calculate -11*s(q) + 2*w(q).\nAnswer: q**3 - 12*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:13 PM and 11:14 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4038, -7490, -10360, -12654, -14378?\nAnswer: -15538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = 12*a. Let c(y) = -2*y. Suppose 3*j - 2*p = 6, 2*j - 15 = 5*j + 5*p. Suppose j = 8*s + s + 99. Determine s*c(x) - 2*k(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort 6, -8, -3, -13414 in increasing order.\nAnswer: -13414, -8, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = 0 + 7*c - 1 + 13 + 3. What is the tens digit of u(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*u + 4*x - 34, -u - 95*x = -2*x + 2*x - 568 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2*w**3 + 2)*(678 - 5*w - 678) - 4*w**4 - 3 + 11*w**4 - 6*w**4.\nAnswer: -9*w**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 82, 139, 196?\nAnswer: 253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 2391\/504 + 6\/(-21) and 56\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z + z - 3 = 0. Let b(x) = 494*x**3 - x**2 - x. Let r be b(z). Let s = r - -2478\/5. Which is bigger: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -1840248695 - 0.1.\nAnswer: -1840248695.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: (((-48)\/28)\/(-6))\/(184\/56)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 9 (b) 2 (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -166606.4 and 0.1?\nAnswer: -16660.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1672*j - 721*j + 2 + 9 + 11.\nAnswer: -2393*j + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 25758, 26525, 27292?\n\"Answer: 767*i + 24991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -2*k**2*w + k**2 + 3*k*w + 64*w wrt k?\nAnswer: -4*k*w + 2*k + 3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3799001, -3798956, -3798911, -3798866, -3798821, -3798776?\nAnswer: -3798731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 667 + 411 = 14*o. Let k = -1 + 4. Suppose k*m = 2*m + o. Calculate the greatest common factor of m and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v - 1 = 14. Suppose 8*n + 12 = 12*n + 4*y, -3*n = 2*y - 14. Solve 4*u + 3*w - 7*w = n, 3*w + 16 = v*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 29876 and 1012?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(-3)*j**(-3\/8)*j**1\/j*(j**(-2\/7)\/j)\/j*j)**(-2\/129) assuming j is positive.\nAnswer: j**(87\/1204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 14 + -3 + -8 + -5 - (-16 + 0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 3 + 17*q - q**3 - 17*q - 1 + 2*q**2 as x + l*q**2 + w*q**3 + s*q and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7439 = 12*n - 6325. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*g - 59 = 264. Let t be (118 - -1) + (-1 - -1). What is the greatest common divisor of g and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -2.119 - -2.119. What is the closest to -4 in t, -2\/9, 0.3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -76 (base 13) to base 16.\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(-1*sqrt(1584) + sqrt(1584) + 1 - (-3*sqrt(1584) + 4)).\nAnswer: -216*sqrt(11) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 32613615*i**5 - 24*i + 57193?\nAnswer: 652272300*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 24280 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = 3*x + 3. Let g(h) = h**2 + 1. Let t(m) = -6*m**2 - 10. Let o(a) = 30*g(a) + 3*t(a). What is o(v(j))?\nAnswer: 108*j**2 + 216*j + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -45664, -91327, -136990, -182653, -228316, -273979?\n\"Answer: -45663*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25 = 5*s - 5*m - 25, -5*m - 32 = -2*s. Suppose -531 = -s*o + 141. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) be the third derivative of -p**9\/126 + 3*p**5\/20 + 9*p**2. What is the third derivative of q(k) wrt k?\nAnswer: -480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*p + 1 - 1)*(-6*p + 3*p + 2*p) + p**2 - 2*p + 2*p - 2 + 2 - 9*p**2 to s*p**2 + i*p + f and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Subtract -2011.2459073 from -7139.\nAnswer: -5127.7540927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 18741 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 2\/10 + 26\/(-5) + 2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = -2543*y + 96550. Let x be p(38). Let b be (-1)\/2 - (-7)\/(-2). Which is greater: x or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -76*f + 75*f + 18. Let h(a) = 3*a - 11. List the prime factors of h(f).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 185 - 204. Which is the third biggest value? (a) i (b) -0.02 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 905307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k = -68 - -71. Suppose -g + k*d - 7 = 8*d, 0 = -3*g - d + 35. Calculate the greatest common factor of g and 351.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h + 4 = 4*h. Let p(i) = -i**3 + 3*i + 2. Let b be p(-2). Is b greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.1 (b) 0.4 (c) 0.5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z = -17511558\/461 - -37986. Let f = z + 56302\/2305. What is the second smallest value in -5, -0.4, f?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h\/(h**(-2\/11)*h))**(2\/63) assuming h is positive.\nAnswer: h**(4\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 407*z + 21978 = -103*z - 753*z + 264*z for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -372 * 7\nAnswer: -2604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 1482590 - 1?\nAnswer: 148258d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4459021?\nAnswer: 7, 637003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x = 5573 + -1496. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*j**2*r**3*u**3 - j**2*r - 5*j**2*u**3 - 12*j*r**3*u**3 + j*r**3 + 2*j*r**2*u**3 - 4*r*u**2 wrt j.\nAnswer: -4*r**3*u**3 - 2*r - 10*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 0.8227 times -365\nAnswer: -300.2855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = -3*n**3 - 3001*n**2 - 1093*n - 92852. Give f(-1000).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -111 + -2?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -p**4 - p**3 + 4*p**2 - p + 1. Let b(z) = 4*z**4 + 10*z**3 - z**2 - 4*z - 15. Let m(v) = -5*b(v) - 15*u(v). Suppose m(k) = 0. Calculate k.\nAnswer: -4, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 70*s**3 + 272135*s**2 - 9 - 272136*s**2 + s + 2 to b + y*s**2 + g*s**3 + a*s and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 8878786 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p = 62 + -127. Let g = -13 + p. Is (1 - -1)\/((-4)\/g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.08 + -0.08. Let b = -19 + 25. Let n be (b\/(-36))\/(2\/3). Which is smaller: y or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.044*-1774\nAnswer: 78.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1 + 0.88. Let b = 0 + j. Round b to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-73 - 3*n + 73)*(1 + 3 - 2).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) be the second derivative of 1325*o**4\/12 + 866*o**2 - o - 706. What is the first derivative of b(c) wrt c?\nAnswer: 2650*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1711 + 10*y + 8*y + 15*y - 32*y)*(0*y**3 - 2*y**3 - y**3).\nAnswer: -3*y**4 + 5133*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h be 5*-3 + 2 + 0. Let l(w) be the first derivative of -w**4\/4 - 14*w**3\/3 - 8*w**2 - 5*w + 48. What is the tens digit of l(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = 87420*d**2. Let k(r) = -71*r**2. Determine k(m(u)).\nAnswer: -542600204400*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = l**3 - 2*l**2. Let j be z(1). Let p(x) = x**3 + 1. Determine p(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4 - k - 14*k**2 + 7*k**2 - 2*k**2 + 4*k - 21*k**2 to t*k**2 + b*k + l and give t.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = 13*r**4 + 6*r**3 - 3*r**2 - 6*r + 6. Let z(x) = x**4 + x**3 + x**2 - x + 1. Let c(s) = -p(s) + 6*z(s). Find the third derivative of c(b) wrt b.\nAnswer: -168*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1580*h = -1571*h - 21915. What is the thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 508048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -42774 divided by 6.\nAnswer: -7129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*m**3 + 30 - 644*m - 4*m**3 - 632*m + 1904*m - 647*m.\nAnswer: (m - 3)*(m - 2)*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*v = 4*t - 96 + 19, 2071*v - 2076*v + 12*t - 235 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 22319933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = 5*z, -4*z - 23 = -3*x + 24. Suppose -3*y + x = -1. Suppose 0 = -y*b + 4*b + 10. Solve 17 = 4*l + b*i, -l - 3*l = -3*i - 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 26\/44*(-5688)\/18486 + 2*(-472)\/11?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round -48.5715352 to two decimal places.\nAnswer: -48.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 3129558599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 2, b: 2, q: 1}. Give prob of picking 1 b and 1 q.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -27414? (a) -5 (b) 306 (c) 2 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 0, -5 in descending order.\nAnswer: 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1.6 + -2.6. Let t = 83.167 + -0.167. Let a = -35 + t. Which is smaller: a or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does -107 = -105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 225635, 451336, 677035, 902732?\n\"Answer: -t**2 + 225704*t - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(sqrt(72) + 0 + sqrt(72)) + (-3*sqrt(72)*1 + sqrt(72))**2 + 2 + -1)*-3.\nAnswer: -867 - 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z - 3 = 5. Let d be (6\/9)\/(z\/(-9)). What is the units digit of 12 + 2\/(d + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1278292.\nAnswer: 2, 313, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 225 = 151*f + 155 - 232 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.4? (a) 1 (b) -7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 548, 523, 498, 473, 448, 423?\n\"Answer: -25*l + 573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put -8, 67, -6086 in descending order.\nAnswer: 67, -8, -6086","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve i - 12*o + 352 = 0, 0 = 3*i + 76*o - 77*o + 41 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z - 1144 = -2*v + 6, -v + 580 = -4*z. Does 24 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 179 + -183. Let v(c) = 2*c**3 - 2*c**2 + c. Let y be v(1). Sort p, -1, y in ascending order.\nAnswer: p, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (157 - 157 - 106*i)*(-i**2 + i - i) + i**3 + 2 - 2 - 5*i**3 + 2*i**3 + i**3 + (-2*i**2 + 4*i**2 - 4*i**2)*(-3*i - i + 6*i) - 2*i**3 + 0*i + 0*i.\nAnswer: 99*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 5, c: 8}. What is prob of picking 1 w and 1 c?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 2 (b) -4 (c) -0.2 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round 13359.32 to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(119) - (sqrt(119) - (((sqrt(119) - (sqrt(119) + -3*sqrt(119)) - sqrt(119))*-5 - sqrt(119)) + sqrt(119))))\/(sqrt(175)*4) + 5.\nAnswer: -sqrt(17)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 5059*z**2 + 6533*z.\nAnswer: 10118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 10412949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 0\/(7\/((-28)\/(-20)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2412778*r**3 + 1206389*r**3 + 1206390*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence llt when three letters picked without replacement from {h: 8, t: 1, w: 1, p: 1, l: 2, v: 3}?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 378419 is divided by 318?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 11050885 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = 3*v**3 + 14*v**2 - 8*v - 259. Let y(p) = p**3 - p**2 + 3*p + 2. Let u(b) = q(b) + 2*y(b). Find the second derivative of u(h) wrt h.\nAnswer: 30*h + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 6 and 2248251.\nAnswer: 4496502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.7 - 1999117.1911.\nAnswer: -1999117.8911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 2101 - -11222?\nAnswer: 21100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = -2*x + 4*o, 2*x - 4*o = -2*x + 4. Let u be (-2 - 15\/(-12))*(-5 + 1). Find the second derivative of 0*b - 2*b + 4*b**3 - 3*b**x - 4*b**u wrt b.\nAnswer: -18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 386879924 to the nearest integer?\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p = -239486.5 - -239488. Let n be 26\/40 + (-2)\/8. What is the closest to -0.2 in n, p, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-6)\/(3\/((-39)\/2)). Let f = 2 + y. Let o be 2\/(-8)*1*2184\/(-13). Which is greater: o or f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = 3*q**3 - 113*q**2 + 72*q + 46. Give d(37).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-3 - -3)\/(18\/3). Let b = 11 - 7. Solve b*k = 4*w - 8, -k + 2*w = -l*w for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose v - 2*p = -12, 0 = 3*v - 5*p + 13 + 19. Let j(r) = -r**2 - 16*r - 59. Let d be j(-8). Sort v, -1, 4, d in ascending order.\nAnswer: v, -1, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3025738, 12102908, 27231524, 48411586, 75643094, 108926048, 148260448?\nAnswer: 193646294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = o - 2*o. Let z be 6\/21 + 76\/28. Solve -5*l - 7 = z*q, -5*q + 3*l - 41 + 18 = o for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 15 - 13. Let t be p*10\/(-12)*(-5 + -4). Let k be ((-9)\/t)\/(2 - 1). Which is the smallest value? (a) 7 (b) k (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.1645 - 835.1645. What is the smallest value in r, -2, -0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 15 or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*-1*sqrt(1176))\/((sqrt(72)*-1 - sqrt(72))\/sqrt(6) - (1*sqrt(768) - sqrt(768))).\nAnswer: 21*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 62, 77, 86, 83, 62?\n\"Answer: -y**3 + 3*y**2 + 13*y + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 0 + 1 + (10 - 2 - 1)*(-85 + 142 - 77))*(2*t - t + t).\nAnswer: -282*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 40955958721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 5*m**3 - 623166*m**2 + 3*m - 28000938?\nAnswer: 15*m**2 - 1246332*m + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 72264984041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g = 12 - 7. Let q(k) = 2*k - 8. Let t be q(8). Suppose -n - 16 = -4*a, -n - n = t. Solve 0*i - i - 5 = g*s, a*i + 4*s + 15 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.9 - 1. Let j = -2.4 - -7.6. Let s = j - 5. Which is the second smallest value? (a) 1\/3 (b) s (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-20)\/(-4) - 9)\/((-287)\/1). Put 0.1, d, 1, 2 in increasing order.\nAnswer: d, 0.1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2527 (base 12) in base 10?\nAnswer: -4207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2653?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = -k**3 + 9*k**2 - 10*k + 13. Let a be s(7). Let y = a - 41. Suppose 5*q + 101 - 336 = y. List the prime factors of q.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 38325389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k = 71 + -24. Let t be 104\/39*(-78)\/8. Let q = k + t. Is 19 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -1ad - -5?\nAnswer: -1a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*y = 9*y - 1074 - 3329. Calculate the greatest common divisor of 119 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 561 - 563. Let q(n) = -n + 3. Let v be q(3). Let l be 3 - 1*(v - t). Solve 4 = 3*a + l for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2076020088.998491 - 2076016492. Let f = -3597 + i. Round f to four dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -44053.37 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -30*p**2 + 24*p**2 - 303*p + 1055*p - 146*p - 304*p - 302*p.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*z - 104 + 103 = -3*b, 0 = 3*z + 5*b - 9 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i = -169 - -176. Solve -c + 0*z + i = -z, -2*z = -c + 11 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3803 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: Suppose 0 = -4*a - 2*o + 6, -2*o - 112 = -114. Solve 2*k + 7 = -a for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -69\/4298 and -43\/9361965.\nAnswer: 131067510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ns when two letters picked without replacement from {v: 2, s: 2, n: 1, b: 3, z: 2, p: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 11261653 to the power of 1\/3, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-h - h**2 + h + (-1 + 2*h + 1)*(-3*h + 4 - 4) - h**2 + 6*h**2 - 2*h**2)*(-3*h + 0*h + 4*h).\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ydbbwbbwbkwwwbkb. Give prob of sequence yb.\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1123798903.\nAnswer: 17389, 64627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 985333047 to the nearest integer?\nAnswer: 995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = -2*y. Suppose -12 = -6*j + 18. Let l = -6 - -1. Let k(p) = -p - 1. Let t(v) = -2*v - 1. Let a(i) = j*k(i) + l*t(i). Determine x(a(g)).\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort -25756, 2, -1, -4, 0, 12 in decreasing order.\nAnswer: 12, 2, 0, -1, -4, -25756","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 2, e: 3, n: 2, w: 6, r: 1, a: 4}. What is prob of sequence rw?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 501, 509, 523, 543?\n\"Answer: 3*c**2 - c + 499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 10 or 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 225185689 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in i - 5*i + 27*i + 29*i.\nAnswer: 52*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-7 - 1)\/(9528\/1188 + -8). Calculate the common denominator of -75\/28 and -8 + (-11)\/(l\/(-405)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1910 = 5*u - 4*y - 6109, -y = -u + 840. Suppose -u = -15*b + 5281. Does 34 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -15 - (-7 - (7 + -8 + 2))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 25\/18 and -87\/1132.\nAnswer: 10188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -2*q. Let a(x) be the first derivative of -11*x**5\/120 - x**3\/3 + 2. Let m(g) be the third derivative of a(g). Calculate v(m(i)).\nAnswer: 22*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-seven fifths of a litre in millilitres?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-3 + 0 + 0)*(-2*z**2 - 2*z + 2*z) + z**2 + z**2 - 3*z**2)*(41*z**2 + 134*z**2 + 153*z**2 + 438*z**2).\nAnswer: 3830*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 1, -16, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1.5567 + 0.0247. Round n to one dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = k**2 - 8*k - 17. Let f = -145 - -138. Let t be h(f). Do 87 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 154868.4 and -1.5505.\nAnswer: 154866.8495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -51*m - 28775 = -56*m + 4*w, -5*m + 28750 = w. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 79636446 to the power of 1\/3, to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j be (1380\/105 - 14)*7\/2. Sort 17, 7, j in increasing order.\nAnswer: j, 7, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 6843 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*v + 331 = 4*v - 5*l, v - 2*l = 79. Suppose -137 = -4*y - k, y - 4*y + v = -2*k. Calculate the highest common factor of y and 297.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (3 + 1 - 4)\/((-8)\/2). What is the common denominator of -6*(-152)\/(-468) + h\/2 and 45\/2?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 1, f: 1, l: 1}. What is prob of picking 1 f and 2 b?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.22 and -2011220711209.\nAnswer: -2011220711208.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor -12*f**2 - 190550115*f - 47637528.\nAnswer: -3*(f + 15879176)*(4*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*sqrt(84)*-2 + (sqrt(84) + sqrt(84) + (sqrt(84) - (4*(sqrt(84) - (sqrt(84)*1 + sqrt(84))) - sqrt(84))) - sqrt(84)))\/(sqrt(192)*4*5).\nAnswer: 13*sqrt(7)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -12078, -12926, -13774?\nAnswer: -14622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -35200, -35205, -35224, -35263, -35328, -35425?\n\"Answer: -k**3 - k**2 + 5*k - 35203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -26 - 313024302?\nAnswer: -313024331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10942 is divided by 72?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 924280.428 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -53 = -4*i + 15. Suppose -i = -b + 17. Suppose 5*t - 28 = 4*m, 3*t - 8*t + 2*m = -b. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-2 + 2 + 4 + (-4 + 0 + 5)*(-4 + 2 + 4))*(-5*d + 5*d - 5*d) in the form j*d + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 102*g = 103*g - 394. Suppose -a + 5*f + g = 2*a, -251 = -2*a + f. What are the prime factors of a?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -33*p - 33*p + 11*p + (-p + 3*p - 3*p)*(0 + 1 + 0) + (8 + 4*p - 8)*(3 - 4 - 1) to the form q + b*p and give b.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1428 divided by 12.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-1018)\/(-840) + (-5)\/25 + -1. Which is greater: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 10211320 (base 4) to base 6.\nAnswer: 223024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 264, 717, 1464, 2505?\nAnswer: 3840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 4 + 2 - 1 + 2*s**2 - 2 with respect to s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 44.4 - 48.4. What is the nearest to 0 in n, 2, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 792343982, 1584687964, 2377031946, 3169375928, 3961719910?\n\"Answer: 792343982*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 13691634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -3 (b) -7.9 (c) -12.1 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -41933*r + 82143*r + 583337*r.\nAnswer: 623547*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o = 15 + -23. Let a(f) be the second derivative of f**5\/20 + f**4 + f**3\/2 - 9*f**2\/2 - 35*f. Let m be a(o). What is m rounded to the nearest 10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9793474 a multiple of 274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 - 2 + 1)*(0*b + 3*b - b) + 571 - 283 - 286 + 104*b to the form c + u*b and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*r - 3*c + 123, c = 1 + 4. Suppose -4*s + 123 = 23. Let w = r - s. Sort -1, w, -7 in ascending order.\nAnswer: -7, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 308338714?\nAnswer: 2, 73, 2111909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) be the first derivative of c**5\/20 + c**4\/3 + c**3\/2 - 2*c**2 + 10*c - 9. Let d(i) be the first derivative of l(i). Calculate d(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -294223*i**4 - 3958*i + 5.\nAnswer: -3530676*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2248, 2241, 2230, 2215?\nAnswer: 2196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = -25*p**2. Let s(i) = -199*i**2 + 454*i**2 - 186*i**2. Determine s(k(q)).\nAnswer: 43125*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1663551.\nAnswer: 3, 61613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2 - -2 - (2 + -7)) + -23 + 5.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -4 + -37?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 5, b: 3}. Give prob of picking 2 v.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1\/(-6) - (-384945)\/198.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1827 is divided by 112?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7756 is divided by 2567?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = h**2 - 14557*h - 1776038. Determine q(-121).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 12\/10*39\/(26325\/250).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1445 is divided by 146?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 9625560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = 17*r - 1435. Let b(g) = 10*g**2. Give u(b(v)).\nAnswer: 170*v**2 - 1435","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand ((5*m**2 - 4*m**2 + m**2)*(-3 + 6 + 3) + (8*m - 2*m + 3*m)*(-2*m + 0*m - m) - 2*m**2 + 5*m**2 - 2*m**2)*(-2*m**3 + 4*m**3 - 4*m**3).\nAnswer: 28*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q be (168\/14 - -8)*(-6)\/15. Let c(f) = f**2 + 13*f - 8. Give c(q).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 134 - 134.5. What is the closest to 0 in c, -5, -19?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-4 - -5)\/((-7 - -13) + -9)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 561*f + 93*f - 2 - 128*f - 17*f + 43*f.\nAnswer: 552*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p = -24 - -20. Let t be (p + 54\/24)\/((-2)\/(-8)). Is (-10088)\/(-14) + (-3)\/t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2938?\nAnswer: 2, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -403, -23, 2\/15, 5, 1, 2\/3 in descending order.\nAnswer: 5, 1, 2\/3, 2\/15, -23, -403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 + 3*k)*(5 - 6 - 4)*(2 + 3 - 3).\nAnswer: -30*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 4026980641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 155 a factor of 132990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -146 in 418, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u + 5*m - 230 = 0, 4*u = -u - m + 598. Suppose 5*z = -2*o + 240, u = o - 5*z + 4*z. Is 24 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.03 - 0.07. Let r = -0.1 - y. Let c = 13 - 15. Is c less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 8679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0 - 0. Let b be (3 - (-12)\/(-4))*2\/4. Solve b = 3*t - h - 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 0 + 1)*(82*f**2 - 306*f**2 - 262*f**2) + (2*f + 2*f - 2*f)*(-3*f + 3*f - 3*f).\nAnswer: 1938*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 988 and 13936.\nAnswer: 264784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 36708.\nAnswer: 2, 3, 7, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p = 22321\/2005 - -27\/401. Determine s, given that 0 - p*s**4 + 4*s**3 + 12\/5*s**5 + 56\/5*s**2 - 32\/5*s = 0.\nAnswer: -1, 0, 2\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 18353 - 1320*j - 18353 + 1327*j.\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = -208*w + 7141. Give a(35).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -408874*m**3 + 4078*m + 2*m**2 + 0*m**2 + 408873*m**3 to the form t + w*m + v*m**2 + k*m**3 and give w.\nAnswer: 4078","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3018530 is divided by 100617.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 30096 is divided by 3708.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = x + 8. Let t be k(-7). Let m(l) = -18*l**2 - l + 1. Let v be m(t). Is 18 a factor of (v\/(-5))\/((-6)\/(-30))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 27573806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 6, -22 in increasing order.\nAnswer: -22, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -80 + (-7 - ((6 - 19) + 9) - -2)\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 937 is divided by (-21 + 17 - 9)*-24.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -35\/35172 and 167\/90?\nAnswer: 175860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 41492 and 19492?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*k - 69 = -52. Let l = -5 + 2. Sort 0.2, 2\/17, l, k.\nAnswer: l, k, 2\/17, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z = h + 3*z - 864453, 0 = 5*h - 5*z - 4322230. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 25\/(-50) + -1 + 18\/4. Find the third derivative of j*x**3 + 320*x**2 - 321*x**2 + x**3 wrt x.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -2*n. Let y(h) = 6*h - 6*h - 19*h. What is y(c(j))?\nAnswer: 38*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 0 and -5.4?\nAnswer: 5.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1010*j - 681*j - 264*j.\nAnswer: -1955*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c = 7.34 - 0.34. Sort c, -0.1, 4.\nAnswer: -0.1, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -38, 66, 5, -6, 2, -3 in decreasing order.\nAnswer: 66, 5, 2, -3, -6, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -b - 1460 = 4*n - 1440, -5*b - 2*n - 41 = 41 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 40700 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*t**2 - t**2 + 2*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1 and 45980685?\nAnswer: 45980685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 971986.3 millilitres in litres?\nAnswer: 971.9863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (140\/280)\/(1079\/104*-2)?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 147 is divided by 73?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o = -337 - 543. Let u be o\/24 + (-1)\/3. Let r(w) = 2*w**2 - 9*w + 1. List the prime factors of r(u).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-136)\/60 - -1 - (1 + (-16)\/6).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -9*y - 29. Suppose 4*p = -4*t - 20, 0*t + p = -3*t - 23. Calculate the remainder when k(t) is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 791473 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 178499479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3793, 3925, 4043, 4141, 4213, 4253, 4255, 4213?\nAnswer: 4121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*l**3 + l**3 + 0*l**3 + 13*l**3.\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: (8\/18)\/(236\/(-177))*-6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1369 is divided by 128?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Multiply 12.8 and 0.4.\nAnswer: 5.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -44*u - 60 = -56*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 7\/108 or -6?\nAnswer: 7\/108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 95543 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 379 is divided by 87.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 818005 a multiple of 428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -r - 63*r - 21*r - 371195. Is r >= -4368?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((z*z**(-4\/5))**50)**(6\/13))**(-8) assuming z is positive.\nAnswer: z**(-480\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) be the first derivative of -z**6\/30 - z**5\/10 + z**4\/12 + z**3\/3 - 7*z - 2. Let w(s) be the first derivative of n(s). Factor w(t).\nAnswer: -t*(t - 1)*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1869717870 and 7830.\nAnswer: 7830","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -190 = 295*r - 276*r for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0, -2\/5, -2\/47?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 9652199*d*i**2 - 362*i**2 + 3*i + 973 wrt d.\nAnswer: 9652199*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n = -3 - -3. Suppose n = 4*u + 20, 5*u = 3*b - 300 - 463. Let c = -155 + b. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -36 = 3*v - 42 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9036267.\nAnswer: 3, 19, 47, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1226 is divided by 252\/133 - 2 - ((-26208)\/(-152))\/(-4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-3)\/(3 - (-28)\/(-10)). Which is the third smallest value? (a) -2 (b) 0.2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -78, 8, 0.1, 2, 0.5, -4.2 in ascending order.\nAnswer: -78, -4.2, 0.1, 0.5, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is (-65913)\/(-254) + (-2)\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 12.32 - 12.02. What is the nearest to 0.4 in z, -3.1, 5, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 7, -1654, -995 in descending order.\nAnswer: 7, -3, -995, -1654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hhr when three letters picked without replacement from xyrwhha?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j = -16 + 22. Let y be 8\/(-3)*j\/4. Let v(z) = 2*z**2 - 4*z. Let r(q) = 6*q**2 - 11*q. Determine y*r(w) + 11*v(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -120, -120, -102, -54, 36, 180, 390, 678?\n\"Answer: 2*c**3 - 3*c**2 - 5*c - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -7980 + 20*x**2 + 7980 to i + q*x**2 + c*x and give q.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 8164, 16332, 24500, 32668, 40836, 49004?\n\"Answer: 8168*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express -2 + 2*t**2 - t**2 - 2*t**3 - t**4 + 1 + 3 as n*t + q*t**3 + z*t**4 + i + m*t**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 582 minutes after 3:45 AM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 397995 divided by 15.\nAnswer: 26533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*q = -4*q - 49*q + 188 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 74.684nm in centimeters?\nAnswer: 0.0000074684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = -8 - -10. Solve -3*p = -4*j - 10, 0*j - p - 10 = s*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6133741 rounded to the nearest one thousand?\nAnswer: 6134000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o + 455 = -1975. What is the greatest common factor of o and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -4681 - 82266?\nAnswer: -86947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s + 2*z = 96, 2*s + 2*z = 7*z - 90. Let o be (3\/2)\/((-15)\/s). Suppose i = 5*i - 2*r - 90, o*i - 109 = -r. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -l**2 + 5*l + 6. Let x be j(6). Suppose 5*f - 4 - 6 = x. Suppose f*v + 10 = 4*v. Solve 0*o = v*o + 5*t - 5, -o - 5*t - 11 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 33\/21152 and -173\/9408.\nAnswer: 6218688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = 94605.7 - 94605. Let i = -0.1 - 0.1. Is g less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t + 4 = 2*c, 4*c - 2 = 3*t + 6. Suppose -3*i = 1272*f - 1269*f - 27, 28 = 4*f + 3*i. Solve -f = -c*a - 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-40)\/(-70) - (-6)\/14)*10. Solve 45*d - b = 43*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 28? (a) -1 (b) 0.1357 (c) -2.7 (d) -2.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1051252795, -1051252794, -1051252793, -1051252792, -1051252791?\nAnswer: -1051252790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2779 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 253 divide 1141536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*z - 4*z = 155. Is z smaller than 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) be the second derivative of w**2 - 49*w - 1\/3*w**3 + 0 - 1\/3*w**4 - 3\/20*w**5. Let u(t) = 8*t**2 - t - 5 + 3*t + 3*t + 7*t**3. What is 5*r(o) + 2*u(o)?\nAnswer: -o**3 - 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -4483348 or -4483350?\nAnswer: -4483348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = 9*u - 5. Let b(s) = -8*s + 2 - 8*s - 6*s + 32*s - 14*s. Calculate 3*a(p) + 7*b(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 w and 1 b when three letters picked without replacement from rkwhkwrhihwhwkiib?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 2355402731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rn when two letters picked without replacement from xlxxlflfxrxkffrkxnl.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/3 in 12360, 2\/133, -3\/5, -3?\nAnswer: 2\/133","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by -188?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = -7*d + 532. Let t(j) = j**2. Determine t(n(f)).\nAnswer: 49*f**2 - 7448*f + 283024","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 57*j = -127 + 13 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 114, 851, 2848, 6735, 13142, 22699, 36036?\nAnswer: 53783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = -130160*u**2. Let f(t) = -339*t. Give f(n(d)).\nAnswer: 44124240*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -z**3 - 19*z + 11*z**2 + 20*z**2 - 12*z**2 - 937 + 983. What is the remainder when i(18) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (1*(sqrt(1000) + sqrt(1000)*-1))\/(sqrt(72) + sqrt(72) + 2*sqrt(72)*-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -52*t + 127 = 574 + 21 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1314 + -1318.7. What is the closest to 1 in -2\/5, -4, x?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 26 divided by -1726\nAnswer: -13\/863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 90 (base 12) to base 8\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 29.6 (b) 4.32 (c) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -9031*o**3 + 6*o - 6*o - 874 + 874 + 5*o**3 + 3*o**3 - 7*o**3 + (-o**3 + 2*o - 2*o)*(-4 - 4 + 6) to s + t*o + l*o**2 + i*o**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 3\/10 of a minute?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is (-27)\/6 - 2923371\/(-102) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 29, -2, 5 in increasing order.\nAnswer: -2, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 608292697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is ((800\/(-22400))\/((-3)\/20))\/(2\/(-12))?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 4466.9487 - 4467. What is g rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = t - 8. Let w be z(8). Suppose 6 + w = 2*i. Solve 2*y - 15 = 5*s + 7*y, 2*s = i*y + 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 433 is divided by 28.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (0\/2)\/(((-952)\/(-17))\/(-14))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Are 0.03 and -1.09 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve x = 16*u - 125, 0 = 4*u - 4*x - 19 - 1 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 21.5757 litres to millilitres.\nAnswer: 21575.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 68, 163, 292, 455, 652, 883?\n\"Answer: 17*n**2 + 44*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -383*i + 5*i**3 - 381*i + 764*i.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1\/1559235 or 1?\nAnswer: -1\/1559235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -6*p**2 - 119*p + 28. Give d(-20).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -1172, -1371, -1578, -1793, -2016, -2247?\n\"Answer: -4*w**2 - 187*w - 981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 3252627 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 are the prime factors of 1760?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -621118, -2484584, -5590346, -9938392, -15528710, -22361288, -30436114, -39753176?\n\"Answer: 2*g**3 - 621160*g**2 + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -43*w - 4 = -41*w. Sort 1, w, -4.\nAnswer: -4, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f + 20 + 5 = 0. Suppose -4*y - 1 = d + 4, 0 = f*d + y + 6. Which is greater: -3\/7 or d?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 22*v - 45*v + 32*v.\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 65936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = 91*o - 117. Let a(v) = 7*v + 6*v - 2 + 16*v - 28*v. Let u(w) = -52*a(w) + d(w). What is the first derivative of u(f) wrt f?\nAnswer: 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 25221751159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 35844326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(11) - ((1*sqrt(11))**2 + 5) - -5*(sqrt(176) - sqrt(11)).\nAnswer: -16 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (sqrt(833) - 4*sqrt(833)*1) + 0.\nAnswer: -21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -1\/3 (b) -2 (c) 2 (d) 14\/9 (e) 15.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 89478.48356 rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 862 divide 3541215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 97\/246 and -2\/205?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1*(9\/(-21))\/((-14)\/98)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide 4691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 6104 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Add together -1433 and -4.835.\nAnswer: -1437.835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 3\/5, -2, -58, 1?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is ((-3)\/((-18)\/38) - 6)\/(90\/(-7830))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m\/m**(1\/4)*m*m**24\/m)**(-1\/15))**(1\/9) assuming m is positive.\nAnswer: m**(-11\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + -3*(-3 + (4*sqrt(684)*-1*-4*-5)**2).\nAnswer: -13132792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 242? (a) 0.1 (b) 2\/11 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -514*p**3 - 194*p**3 - 3*p**3 + 234*p**3 - 237*p**3.\nAnswer: -714*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) be the first derivative of 0*g + 0*g**5 + 0*g**6 + 0*g**2 + 1\/7*g**7 + 0*g**4 + 122\/3*g**3 - 19. Find the third derivative of k(r) wrt r.\nAnswer: 120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a and 2 m when three letters picked without replacement from mmyyaaymyaaayaaayam?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -7 divided by -3\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = 14*y - 3. Let z be h(2). Let n = z + -15. Calculate the lowest common multiple of 12 and n.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:23 AM and 11:27 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve u**5\/5 - 3*u**4\/5 - 32*u**3\/5 - 12*u**2 - 32*u\/5 = 0.\nAnswer: -2, -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a = -390 - -394. Let p = -6 + 9. Suppose a*h = 71 - p. Is 5 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -1513.0404 and 381.\nAnswer: -1132.0404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h be 1*-5 + -1 + 2. Let g(j) = -j**2 + j + 1. Let i(f) = -4*f - 30 + 55 + 3*f**2 - 33. Let a(l) = h*g(l) - i(l). What is the derivative of a(k) wrt k?\nAnswer: 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1204*c**2 + 2 - 1108*c**2 - 2.\nAnswer: 96*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 20860, 49043, 77226, 105409, 133592, 161775?\n\"Answer: 28183*z - 7323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = 3767071\/3 + -109106360\/87. Let k = -1594 + o. Which is smaller: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5056244168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1370778)\/(-604))\/(-267)*(-6)\/(0 + -1)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -77*z + 72*z - 82 = -2*f, 3*z = -2*f - 62 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(sqrt(112) + 0)*2)**2.\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s - 15 = s. Solve -s*a + 13 = -2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 63, -67, -5, -17 in increasing order.\nAnswer: -67, -17, -5, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 9, v: 2, d: 7}. What is prob of picking 3 d?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -34, 60, 222, 452, 750?\n\"Answer: 34*s**2 - 8*s - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -21*v**2 - 11582*v + 543242. Calculate d(-595).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q = 85 - 28. Let t(w) = q*w**3 - 6*w - 6 + 5*w**2 + 4 - 6 - 56*w**3. What is t(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 476 and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1062 and 13291461.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor -23*f**2\/5 + 13143*f - 11428\/5.\nAnswer: -(f - 2857)*(23*f - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f = 132 + -178. Which is smaller: f or 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3336, -7141, -11430, -16197, -21436, -27141, -33306, -39925?\nAnswer: -46992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 175101306, 175101305, 175101304, 175101303, 175101302, 175101301?\n\"Answer: -m + 175101307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = -10 - -1. Let c = y - 0. What is the smallest common multiple of (c\/6)\/((-9)\/12) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 583\/187 + (1 - 4) + 132\/34. Solve -114 = z*a - 126 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*w - 4*o - 25, 15 = 225*w - 228*w + 4*o for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*u**2 + 15*u**2 - 18*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 6864 and 585?\nAnswer: 102960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 31 and 1428.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort -299, 2486, -9\/2 in increasing order.\nAnswer: -299, -9\/2, 2486","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 418 divided by -3148.\nAnswer: -209\/1574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -186*u**2 + 96*u**2 + 32*u + 91 + 93*u**2.\nAnswer: 3*u**2 + 32*u + 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 400? (a) -0.2 (b) -0.3 (c) 2\/9 (d) 2\/13 (e) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(77) + -1*(3*sqrt(77) - sqrt(77)) + sqrt(77) + sqrt(77))\/sqrt(11) + 5.\nAnswer: sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 7044030 to the power of 1\/3, to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: c6c (base 13) to base 14\nAnswer: ab4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 11851 and 945?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5319934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 17 * 2\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (-1 - -12 - (15 - 3)) + 18\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-384)\/(-240))\/(12\/210).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {b: 3, o: 2, n: 3, i: 2, x: 3}. Give prob of sequence boii.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 9314 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 186394801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -15 or -2980072?\nAnswer: -2980072","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 304*b - 19 = 285*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 112 + 482 + 75 = 223*u. What is the closest to 5\/4 in 5, 6\/13, u, -1?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 83341 is divided by 37302?\nAnswer: 8737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*i - 4*u + 10526, -4 = -0*u - u. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1061965 divided by -5?\nAnswer: -212393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 769684?\nAnswer: 2, 193, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*c + 2 = -16 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = l**3 - 417*l**2 - 3430*l + 11947. Calculate f(425).\nAnswer: -803","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (9\/(-6))\/((-816)\/(-64)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = y - 4*y + 0 + 4*y - 3. Suppose 2*c + 22 = 2*p, 0*c + 2*c = -2*p + 34. Suppose -30 = 4*k - p*k. Determine b(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -4 in 5, -2, -0.9, 1.7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 10811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -21*a + 14*a + 4256. Let q be a\/6 + (-3)\/9. What is the first derivative of -31 - 33 + q - 34*r**3 wrt r?\nAnswer: -102*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -287 + 110. Let z = -155 - q. Suppose 2*n = 16 - 0. What is the least common multiple of n and z?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -100110000 (base 2) in base 7?\nAnswer: -613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a\/((a**2\/a*a)\/a))**(25\/4)\/((a**8\/a)\/a**(5\/4)) assuming a is positive.\nAnswer: a**(-23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p = -109.3 - -118. Let w = -9.2 + p. What is the second smallest value in 3\/4, w, 3, -7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m = -0*m - 12. Suppose m*r - 8 = 0, 4*l - 8689 = l + r. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:13 AM and 8:00 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -10*f**3 + 66*f**2 + 1900*f wrt f?\nAnswer: -60*f + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -6 (base 14) to base 4\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*sqrt(432) + 3 + sqrt(3) + 4)**2 + 5*(sqrt(243) + 1 + sqrt(243) + 3).\nAnswer: -400*sqrt(3) + 3744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-2)\/10 + (-438)\/(-15). Let i = n - 19. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6 + 1 + (-5 - (24 + -28))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0 - -40. Suppose 36*o - 22*o = 140. What is the highest common factor of n and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -127\/252 and 33\/32.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y be 10\/25*-1*-5. Suppose y*p = 2*q + 998, q = -6*p + 2*p + 2016. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(1\/2)*a)**(-37)*a**3\/(a*(a*a**(-2\/19))\/a)*(a*a*a**0)**40\/(a*(a\/(a\/(a\/((a*a**(-1))\/a))))\/a)**(-29) assuming a is positive.\nAnswer: a**(3215\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 11683980 and 2268.\nAnswer: 35051940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2)\/(-3))\/((-1)\/3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.01 + -1.19. Let u = k + 1. Let f(z) = -z**3 - 2*z**2 + 4*z + 1. Let l be f(-3). What is the closest to 1 in u, l, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*r**4 - 52776*r**3 - 173976052*r**2 + 696537648*r - 696748816.\nAnswer: -4*(r - 2)**2*(r + 6599)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-3)\/(3\/2))\/((-63)\/(-24696)). Let k = 108 - u. Does 60 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 152 minutes before 10:28 AM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 2 - 1)*(11*a**2 - 11*a**2 - 2*a**3)*(-5 + 7*a + 5).\nAnswer: -28*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = -43012*g - 4809. Is b(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 + 0 + 3)*(-h - 3*h - 7*h)*(-2 + 8 - 2) to the form w*h + m and give w.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 425 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 b and 2 l when three letters picked without replacement from {h: 1, b: 2, l: 4, g: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/4? (a) -2\/5 (b) 3\/7 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 180 is divided by 144.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:58 PM and 3:50 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d = -7 + 78. Suppose 13*m = d - 19. Solve -m*p + 8 = -2*h, 0 = -2*h - 5*p - 4 + 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 47705 - 29312. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 209434774?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 101 - 22024400033?\nAnswer: -22024344432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = q**2 + 41*q + 84. Give f(-39).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k*k*k\/(k**(-2\/3)\/k*k)*k*k*k)\/k**17*(k**(3\/4))**48 assuming k is positive.\nAnswer: k**(77\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put -2, -508, -522, 41 in ascending order.\nAnswer: -522, -508, -2, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((r\/(r*r**2)*r)\/(r*r**(2\/7)))**(-42))**47 assuming r is positive.\nAnswer: r**4512","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t = 6, 3*t + 44 = -4*q + 2. Let u be (0\/(-2))\/(q + 7). Let h(o) = -o - 10. What is h(u)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*u = 42708 - 43226 for u.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 132 and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express 422*z**3 - 6 - 421*z**3 + z**2 - z - 645*z**4 + 478*z**4 as h*z**4 + m*z**3 + n*z**2 + k + o*z and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-73*k + 85*k + 219*k)*(-4 - 2 + 3 + (4 + 2 - 5)*(1 - 2 + 2)).\nAnswer: -462*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round 3.709 to 1 decimal place.\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v = -5991 - -6008. What is the smallest value in 47, v, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*k + 39*k = -24955. Let z = -774 - k. Is z even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 3, a: 5, d: 1}. What is prob of picking 1 a and 2 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1122 is divided by 774?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -8*c**2. Let s(m) = 2*m**2 + 6*m**2 - 7*m**2. Determine t(s(o)).\nAnswer: -8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is -1 - (2676040 - 10)\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -32936*z + 32936*z - 15*z**3.\nAnswer: -15*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 231 minutes after 4:28 AM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 100383905*y**2 - 2*y - 1368995?\nAnswer: 200767810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 104 = 2*j - 102, -5*v = j - 208. Let h be ((-20)\/2)\/(v\/(-4) + 1). Is h greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u + 4 = -u. Suppose 0 = -u*g + 22 - 6. Suppose -40 = -4*r + z, 2*z + 45 = g*r + 5. What is the remainder when r is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 167883 and 488241?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = s**2 + 3*s + 5. Suppose 0 = d - 67 + 69. Calculate c(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:15 AM and 4:45 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*b + 7 - 16. Suppose -8*w = -b*w - 25, -141 = -2*m + w. What are the prime factors of m?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -2*j**2 + 7*j - 3. Suppose 0 = 2*v + p - 30, 7*p - 2*p = 0. Suppose 3*t = 8*t - v. Let c be h(t). Solve 4*x + 0*x + 12 = c for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -5 (b) 0.4 (c) -4 (d) 49 (e) 5.57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (16 - 8*w - 16 + (2 - 3 + 2)*(0*w + w - 2*w))*(-w - 6*w + 4*w)*(1 - 2*w - 1).\nAnswer: -54*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z\/(z\/(z\/((z*z**(-2\/3))\/z))))**(-2\/27)*z**2\/(z\/((z*(z\/(z\/(z**(4\/7)*z)*z*z))\/z*z)\/z)))**24 assuming z is positive.\nAnswer: z**(2032\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 45*y = 6*y + 819. Calculate the remainder when 394 is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -140 + 140 + 3*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 18147536, 36295076, 54442618, 72590162, 90737708, 108885256?\n\"Answer: x**2 + 18147537*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z - 75 = -5*g, 4*z - 3*g - 23 - 2 = 0. Calculate the greatest common divisor of 25 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = 19*g**3 - 2*g**2 + 2*g - 1. Let d be l(1). Let x = d - 10. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-6 - -1 - -3) + 3 + 147. Let h = z + -148. Suppose -4*i + 0*i = -w - 4, 64 = 4*w + 4*i. Solve 3*f + w = -h*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1.915 + -0.085. Which is the nearest to -2\/5? (a) -0.08 (b) -0.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 42*t - 11*t - 14*t to the form x*t + i and give x.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = d**2 - 4*d - 2. Let b be y(6). What is the units digit of 4\/b + (-13)\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -4 (b) -12 (c) -0.5 (d) -0.4 (e) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x be (6 - -1) + -1 + 0. Let d be ((-39)\/x)\/(3\/(-6)). Let v = 1525 + -1473. What is the highest common divisor of d and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*s + 3*s = 5*t, 4*s = -2*t - 14. Let c = 17 + -9. Let v = c + -7.7. What is the second biggest value in v, 1, s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -24 + 27. Find the second derivative of -19 + 19 - 2*f**o + 6*f wrt f.\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -1\/9 (b) -1\/1927 (c) -2 (d) 0 (e) 4 (f) -205 (g) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1072 + 12*z**3 - 543 + 13*z**3 - 529.\nAnswer: 25*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let -3\/4*h**3 - 27\/4*h**2 + 75\/4 - 45\/4*h = 0. What is h?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -2576 divided by 6\nAnswer: -1288\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f = 60 - -80. Let t = -137 + f. Solve t*g - 15 = -2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 187*w - 2679 = 46*w for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-10947)\/(-356)*256\/(-114) + 2*(-2)\/(-76).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 1331077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express 2*z**3 - 435*z**2 - z**3 + 1 + 2*z**4 + 20*z - 22*z + 2 - 4 in the form k + w*z + b*z**4 + s*z**2 + r*z**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n = -5 - 0. Let u = 7208 - 7212. What is the smallest value in -0.3, n, u, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 9 + -145?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 5736373 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -2 (base 12) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.698 and -2.\nAnswer: -1.302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Divide 890974280 by 14.\nAnswer: 63641020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = -57*n**3 - 7*n**2 - 7*n + 79. Let j(k) = 19*k**3 + 2*k**2 + 2*k - 26. Let x(y) = -7*j(y) - 2*u(y). Differentiate x(r) wrt r.\nAnswer: -57*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2996345?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-24)\/6 + 2 + 20. Suppose z*f - 216 = 16*f. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*c - 5*c + 4*c)*(26*c - 17*c + 34*c)*(0*c**2 + c**2 + 0*c**2) to the form h + q*c**2 + v*c**4 + k*c**3 + z*c and give v.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express -34*o**4 + 36*o**4 + 14*o**2 + 0 + 2*o - 2 as v*o**4 + g*o + n*o**2 + p + m*o**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 3257730 a multiple of 315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert -20 (base 3) to base 10.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor s**3\/8 - 205*s**2\/8 + 10403*s\/8 + 10609\/8.\nAnswer: (s - 103)**2*(s + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(3) - sqrt(24)\/(sqrt(8) - -2*sqrt(8))) + -3.\nAnswer: -3 + 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*g**2 + 0 + 1\/3*g**3 + 8\/3*g.\nAnswer: g*(g - 8)*(g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6251 is divided by 6233.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is (-327500)\/(-75) - (2\/(-6) + 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -4\/58015, 0.3, -3\/23, 15 in decreasing order.\nAnswer: 15, 0.3, -4\/58015, -3\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 41494488521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 153\/24*-54*38\/(-1539)\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21*x - 1 = 20*x. What is the closest to x in 2\/5, 1, -4\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 27 - (8\/4)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.9 - -26.\nAnswer: 25.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = 6*s + 128. Suppose 2*h = 13*h + 231. Let q be x(h). Solve q*w + w - 5*u = 19, 2*u = -10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 3936 divided by 1968\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = -n + 1. Let j(y) = 3*y + 49. Give h(m) + j(m).\nAnswer: 2*m + 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 12449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.86 in 0, -4213, -16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -240*y**4 - 5*y**3 - 67996.\nAnswer: -960*y**3 - 15*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 0 greater than -95\/108?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 322 minutes after 6:27 PM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -183.5284 rounded to 1 dp?\nAnswer: -183.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -130*g = -124*g + 12 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n = -205 + 369. List the prime factors of n.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -15356*o**2 + 2 - 5*o - 2 - 11*o + 15363*o**2.\nAnswer: 7*o**2 - 16*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*x - 7*x = -18*x - 5. Let i = -5 + 3. Put i, x, 1 in decreasing order.\nAnswer: x, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -149915 or -149926?\nAnswer: -149915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort 3\/7, -1\/4, 3\/2, -3, 154, -28 in increasing order.\nAnswer: -28, -3, -1\/4, 3\/7, 3\/2, 154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 300247?\nAnswer: 300247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is (-64)\/336*7*-51*(-5)\/20?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide -5 by 12472.\nAnswer: -5\/12472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x + 7 = -24. Suppose -3*n + x = -2*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(2\/7)\/n**(-3))\/(n**(-1\/3))**(-4) assuming n is positive.\nAnswer: n**(41\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of -2 + 6513 - (-75)\/(-60)*-4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = -4 + 3 - 2 + 2. Let n = -1 - -3. Let y(u) = 4*u - 2. Let v be y(n). Let a(m) = -m - 4. What is v*h(z) - a(z)?\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (10787\/1518)\/(-67)*(-27)\/126?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 t when two letters picked without replacement from tmqteee?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 1\/8 (b) -641 (c) -18 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express -129*c**3 + 17*c**3 + 106*c**3 - 39*c**2 + 2 as a*c**3 + j*c + d + n*c**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 28 and 11560948?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z be (1 - -4) + 4\/(-12 + 8). Let m(f) = f**3 - 4*f**2 + 2*f + 5. Calculate m(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3490794.\nAnswer: 2, 3, 19, 59, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.16, 0.5, -448, -2\/11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1360 + -1056. What is the greatest common factor of 418 and q?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*v**5 + 124*v**5 - 8*v**5 + (v**3 + 0*v + 0*v)*(0*v**2 + v**2 - 2*v**2) - 1 + 1 - 2*v**5.\nAnswer: 115*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 19007028?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -0.1, -18.5, 2.01, 7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 1509767659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (-t**2 + 3 + 0*t**2 + 3*t**2)*(-2945 + 4377*t**3 + 1223*t**3 + 2945).\nAnswer: 11200*t**5 + 16800*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in one sixteenth of a gram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -3 + 1 + 3. Let m(x) = 5*x**3 - 2*x**2 - 2*x. Let z(f) = -j(f) + m(f). Let l(n) = -n**2 + 4*n - 1. Let g be l(4). Give z(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -3390 + 16514. Is 17 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 1594\/(-10) + ((-2)\/5)\/(-1). Let p = x - -285. Does 17 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 25373 to the power of 1\/2, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(-2*sqrt(33))\/sqrt(11).\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 37 and 194550033.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 42308022 to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 270031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Divide 8 by 138.\nAnswer: 4\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) be the third derivative of -b**6\/45 + b**5\/120 + b**4\/6 - 2*b**2. Let d(q) be the second derivative of o(q). Is d(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3 = 42*z - 44 - 121 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 46 + -496a?\nAnswer: -4924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 1, v: 1, l: 5, n: 5, q: 3}. What is prob of picking 1 a and 1 q?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 7 + -2370?\nAnswer: -2369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t be 2 - (-1 - -2 - 2). Suppose -w = 0, -n - t*w + 106 = -105. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 + 0 - 3)*(16*f + 9 - 9)*(-4*f**2 + 2*f**2 + 0*f**2).\nAnswer: -64*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 27536785729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 1418303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 35490 or 1774?\nAnswer: 35490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z + 8*y - 1300 = -1238, -36 = -2*z - 4*y. Solve 2*j = 2*q + z, 3*q + 11 = j - q for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -13 - -19. Let a be (33\/f)\/((-2)\/4). Let v be (-1)\/(2 - a\/(-5)). Let y(d) = d**2 - 6*d - 2. Calculate y(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w\/w**(-1\/2)*w*w**6)**(-4\/5) assuming w is positive.\nAnswer: w**(-34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z + 5*n - 26 = 0, 4*z - 8*n + 9*n = 16. Let y be -2 + 113 + (-2)\/2. Suppose z*d = -5*j + 66, 4*j + y = 5*d + j. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (3312\/99)\/8 - (-4)\/(-22). Suppose -4*v - 1432 = -3*r - 482, -1280 = -p*r + 2*v. What are the prime factors of r?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1918.51 - -1909. Let j = 2.59 - d. Round j to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 9532894*x**4 + 25665239 with respect to x.\nAnswer: 38131576*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1289805 and 0.8?\nAnswer: 1031844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 677449781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 65622.9 nanoseconds in minutes?\nAnswer: 0.000001093715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 6, 622562, 3?\nAnswer: 622562","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (10\/(-10))\/((-6)\/((-18)\/(-15))).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 213 times -4\nAnswer: -852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -24*s - 382. Let a be v(-16). Let r(z) be the first derivative of -3*z**3 - 12 - 9\/2*z**a - 1\/4*z**4 - 12*z. Calculate r(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 699150296 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 12435 in -2, 3, 1\/3040?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j be (12\/(-10))\/(2\/(-15)). Suppose -3*m + j = -3*o - 0, -2*m - 15 = 5*o. Suppose m*q - 4*q + 44 = 0. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 766650 and 6.\nAnswer: 766650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round 0.09436341 to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = a + 2. Let k(q) = -2*q - 6. Suppose -31 = -5*y - 16. Calculate y*k(w) + 8*l(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1065179\/20 - -53245. Let l = 66\/5 + p. Suppose 5*r + 4*y = 9, -y = -3*r + y + 1. Is r less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -122 (base 7) to base 11\nAnswer: -5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = -3*i + 2*y + 10, i - 3*y = 11. Suppose -3*v - 5 = 2*v, 71 = 4*w + i*v. Calculate the remainder when w is divided by (-8)\/6*30\/(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 0.5, -15\/2, -1, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.06 in -0.1, 0.9, 1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-382)\/(-18) - (-16)\/(-72). Let g = f - 11. Let q = 376 + -339. What is the remainder when q is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.970499 to two decimal places.\nAnswer: 0.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m = 10548\/5 + -1360742\/645. What is the common denominator of 27\/5 and m?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(95)*3*3)\/(-3*sqrt(605)))**2 + 4.\nAnswer: 655\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*v - 4*w - 11 = v, -2*v + 3*w + 7 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -22 = 8*q - 14 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 3322 + -3321. What is the closest to s in 5, 0.5, 15, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 108 + -5944?\nAnswer: -5838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*y + 55 - 19. Let b be ((-6)\/8)\/(-3 - 362\/(-120)). Let v = 47 + b. Calculate the greatest common divisor of y and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -f**3*x - f**3 - 76*f**2*x - f**2 - 71*f - 9*x wrt f.\nAnswer: -6*f*x - 6*f - 152*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 904 and 3277.\nAnswer: 26216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(-4))**16*(w*w\/(w**(-23)\/w*w))\/w**(-15) assuming w is positive.\nAnswer: w**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 10}. Give prob of picking 3 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express -10*f**3 + 0 + 3 - 4 + 8*f**3 in the form i*f + s*f**2 + y + n*f**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -45, -97, -147, -195, -241, -285?\nAnswer: -327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -41 - 19 = -12*q. Solve 2*v + 4*c + 2 + 8 = 0, -c + 3 = -q*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 738197 = 2*r + 5*h, -r + 977*h + 369082 = 974*h. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 15898.61 litres in millilitres?\nAnswer: 15898610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 180696 (base 11) to base 8.\nAnswer: 1040742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 141 minutes after 2:17 AM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 273831886 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is ((-30)\/4)\/((160\/(-10))\/(-32))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = 6*m - 2. Let a(h) = 5*h - 3. Let u(y) = -2*y - 12. Let p be u(-8). Let z(d) = p*o(d) - 5*a(d). Differentiate z(i) wrt i.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 222.373 - 222. Let w = -0.073 + y. Which is the nearest to 0.4? (a) w (b) -0.3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 521996584?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = -h - 10. Let c be g(-9). Let b = 8 + c. Suppose b*t = 2*t + 5. Which is smaller: t or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 5917583 to the nearest integer?\nAnswer: 2433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m = 750 - 742. Solve -m = -b + 9*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = -42*m**2 - 13*m + 47. Let j(k) = 16*k**2 + 5*k - 16. Determine 11*j(d) + 4*l(d).\nAnswer: 8*d**2 + 3*d + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = 3*b**2 - 15*b + 20. Let k be 12\/2 + -1 - (-41)\/41. Let o = -17 + 31. Calculate the remainder when m(k) is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b\/b**(-2))\/((b\/((b**(1\/3)\/b*b*b)\/b))\/b))\/(b\/(b\/(b\/b**(-4)))*b*b**(3\/5)\/b*b)*(b**1)**10*(b**0)**10 assuming b is positive.\nAnswer: b**(101\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round 0.269330252 to four decimal places.\nAnswer: 0.2693","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 8\/((-1)\/(-1)) - 0 and 11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 12 - 15 + 7*f**3 + 4*f - 5*f**3 to the form j*f**2 + i + h*f**3 + o*f and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 397 or 395?\nAnswer: 397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n and 1 f when two letters picked without replacement from {f: 3, n: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 126 and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 53\/8 and 3\/6747706.\nAnswer: 26990824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1980 is divided by 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = 3*h - 1. Suppose -2 = -q - 0. Let l be a(q). Solve -l*u + 2*x + 2*x - 1 = 0, 3*u = -x - 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -166, -646, -1462, -2632, -4174, -6106?\nAnswer: -8446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-56)\/(-20) - 2)*5200\/32. Let t be (-54)\/(-1130)*d\/39. Are t and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -5818000 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000200731 to six decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*5*(((-1 + (sqrt(684) + 2 - sqrt(684)))*-3)**2 - (sqrt(684) - -5*(sqrt(684) + -1) - (sqrt(684) + (sqrt(684) + 0 + -4 - sqrt(684))**2))).\nAnswer: -450 + 450*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (a**2 + a**2 - 3*a**2)*(-13 + 38 + 8)*(-3 + 0 + 5) to d*a**2 + x*a + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:16 PM and 4:35 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*i - 4*i + 6*i + 0*i - 5*i + 2*i + (-i + 2*i + 0*i)*(1 - 2 + 2))*(-74*i**2 - 152*i**2 + 314*i**2).\nAnswer: 176*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find z, given that -5*z**4 - 173690*z**3 - 2082655*z**2 + 31426190*z - 29169840 = 0.\nAnswer: -34726, -21, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 531*o**3*s + 2136*o**2*s - 19135*o*s + 47*s - 1 wrt o?\nAnswer: 3186*o*s + 4272*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*x - 16, -l + 5*l - x = 24. Let n(r) = -5*r + 8. Let y(t) = 9*t - 15. Determine l*n(b) + 3*y(b).\nAnswer: 2*b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 1413 divide 194465538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -16*j = -203 + 155 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.67 * 6.12.\nAnswer: -4.1004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -3.681 rounded to one dp?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate -19 divided by 28.\nAnswer: -19\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3.40000445 + 3.4. What is s rounded to 7 dps?\nAnswer: -0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -43435 divided by 73?\nAnswer: -595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u be 2\/78 + (-123250)\/(-192270). Factor -560*j - 118\/3*j**2 + 600 - u*j**3.\nAnswer: -2*(j - 1)*(j + 30)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*n**3 + 4*n**3 - 5*n**3)*(-n**2 + 0*n**2 + 0*n**2) + (-5*n + n + 2*n)*(-2*n**4 + 3*n**4 - 3*n**4).\nAnswer: 5*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1432858548?\nAnswer: 2, 3, 11, 83, 130783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 685 minutes before 11:31 PM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 19, 1\/5, 2\/15?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*s = -6*s - 6. Suppose -53 - 3 = -4*g. Solve -2*y - g = -s for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 12059 - 241239\/20. Suppose -4*u = 5*y + 3837, -u + 7*y = 2*y + 978. Calculate the common denominator of z and (1\/(-9))\/((-6)\/u).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 560332428*b**2*x - 5001*b*x - 38*b - 8*x + 8 wrt b?\nAnswer: 1120664856*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) be the first derivative of q**4\/4 - 2*q**3 - 3*q**2 - 4*q - 1. Suppose -46*a + 56*a - 70 = 0. What is k(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -164*n**2 + 104*n?\nAnswer: -328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -x**2 + 8*x - 5. Let q = 64 - 55. Suppose -4*o - 2*g = -27 - q, -o + 10 = g. Give l(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = 4*f + 5. Let g(o) = 15*o + 21. Let t(i) = -22*b(i) + 6*g(i). Let s be t(-7). Determine a so that 0*a - 54 + 53 + a + s*a**2 = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17 = 2*r - 19. What are the prime factors of 1 + 79 - r - (27 - 25)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1\/14313 or 0?\nAnswer: -1\/14313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = u**3 - 5*u**2 + 8*u - 3. Let g be z(3). Solve -7*n + 2*n = -g*x + 5, 0 = n - 5*x + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 80, 60, 16, -64, -192, -380?\n\"Answer: -2*k**3 - 6*k + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 - (0 + -6 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 6743210 rounded to the nearest 100000?\nAnswer: 6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = 127*o**2 - 140*o + 37. List the prime factors of n(5).\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 115980 and 41260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 239 is divided by 76.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 19*z + 23 = -53 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = -u**3 - 189*u**2 - 2932*u - 1352. Determine y(-172).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -78, -83, -88, -93?\n\"Answer: -5*p - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = 18*j - 5. Let o = 104 + -100. Let x(h) = 19*h - 4. Give o*f(n) - 5*x(n).\nAnswer: -23*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 33886?\nAnswer: 2, 16943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 - 169*g - 1 + 2 - 3.\nAnswer: -169*g - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nytytn. Give prob of sequence ny.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 63.3893ug to tonnes.\nAnswer: 0.0000000000633893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f = 4*i + 320, -4983*f - 62 = -4984*f - i. Solve f*w = 87*w + 64 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = -21*h. Let o(b) = -b - 1. Let t(f) = -1. Let i(c) = o(c) - t(c). Determine u(i(w)).\nAnswer: 21*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a + k - 20 = 0, 0 = 21*a - 18*a + 4*k - 35. Let g be (1 + -3 - -3)*5. Solve a*p - 1 = -d, 2*p - 4*p - g*d = 18 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (45\/2)\/(2\/4). Suppose h + 5*w = k, 2*w = -0*w + 6. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1119*c - 71334 = -14265 for c.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = n**3 + 3*n**2 + 3*n + 3. Let w be o(-3). Let a = 8 + w. Let q be 2 + -2 + 2 + a. Solve r + q = 7 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*f = 2*g - 1, -8*f = -5*f + 5*g - 7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 1930 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = -25*k**2 + k + 1. Let r be s(-1). Let c = 28 + r. Solve 2*b + c + 3 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 120 and 1513816?\nAnswer: 22707240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 55394 to the power of 1\/2, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 151483098?\nAnswer: 2, 3, 13, 1942091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -5*o**3 + 4*o**2 + 20*o - 40. Let w(y) = -10*y**3 + 7*y**2 + 40*y - 80. Let k(t) = -13*s(t) + 6*w(t). Determine p, given that k(p) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p - 481 = 83. Let j = 2 + p. Does 29 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1616*h - 5520 = 1736*h for h.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 180 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = 4*z + 12*z**2 - 14*z**2 - 4*z. Let v(w) = 7*w. What is v(a(q))?\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -t**2 + 3*t - 473. Let l be m(0). Let q = 321 + l. Let u = q + 241. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 4290\/25 + 2 + (-2)\/(-5). Suppose -4*m = -306 - y. Is m a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2178 = 121*f - 139*f. What is the highest common factor of 187 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-81)\/18*4\/3. Let t = r - -37. Let j = t - 20. Calculate the remainder when j is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify s**(7\/5)\/s**(-22\/5) assuming s is positive.\nAnswer: s**(29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 + 5 + -4 + 12 + -19.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 3\/7, -0.4, 14, -5194, 5 in ascending order.\nAnswer: -5194, -0.4, 3\/7, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1\/40 + -77\/120. Are c and -2\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*u**2 + 18*u**2 + 1 + 0*u**2 + 2*u**2 + 1 - 1 + (u + 0*u - 3*u)*(0 + 0 - u).\nAnswer: 20*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f be 1525\/20*-1 - 0\/(-1). Let j = -76 - f. Let t = 0.4 + -0.7. Which is the third biggest value? (a) j (b) t (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 107000 and 428.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = -11*f**3 + 70*f**2 - 37*f - 50. Let n(o) = 21*o**3 - 141*o**2 + 72*o + 99. Let u(b) = -4*n(b) - 9*t(b). Find j, given that u(j) = 0.\nAnswer: -3\/5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 13.6 (b) 8\/39 (c) 4 (d) -2\/7 (e) 2\/3 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 1009.1716 rounded to the nearest 10?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) be the third derivative of 57*a**8\/56 + a**5\/30 + a**4\/8 + 129*a**2. What is the third derivative of o(d) wrt d?\nAnswer: 20520*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1006913249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 87 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1438.\nAnswer: 2, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3113, -3151, -3081, -2849, -2401, -1683, -641, 779?\nAnswer: 2631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1339, 3571, 7295, 12511, 19219?\nAnswer: 27419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 38 divide 380178980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = 8190*d + 517. Determine u(0).\nAnswer: 517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: ((-3234)\/88)\/((-66)\/88*1)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.02 - -3.02. Let o = q + -3. Let z = -417 + 417.4. Sort -5, o, z in increasing order.\nAnswer: -5, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 441412?\nAnswer: 2, 211, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = -63*m - 4927. Give s(-70).\nAnswer: -517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = -5*d**2 - 2*d**2 + 2*d**2. Suppose -7 = 5*n - 32. Let s(l) = -l + n*l - 2*l. What is s(b(j))?\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2152807?\nAnswer: 53, 151, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o = 329 + -337. Let x be (2\/(-4))\/(1\/(-2)). Is 30*x*o\/(-3) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (6\/15)\/((-2)\/(-20)). Let h(s) = -s + 1. Let y be h(-2). Let c = 27 + -27. Solve -x + 5 = n*k, c = y*x - 0 - 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 695727\/86 - 8090. Find the common denominator of n and -19\/10.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 152977 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 90 divide 362928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.053, 4, -0.22, -5\/3, -2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 28\/(-42)*36\/(-156) + (-80)\/(-494).\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 1874751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = 383846*f - 4606150. Give r(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is (57\/114)\/((-2)\/28)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 7\/2 of a century?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = -3*n**2 + 132*n - 818. Give r(6).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) be the second derivative of w**5\/5 - w**4\/3 - 2*w**3\/3 + 2*w**2 + 18*w. Suppose g(b) = 0. What is b?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000239 to five dps.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.1 + 1.1. Let p = -3 - -3. Let f = p + 2. Which is the biggest value? (a) f (b) y (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 77\/18420 and 145\/48.\nAnswer: 73680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 55877225629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Multiply 5 and 0.09.\nAnswer: 0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k = -78 + 279. Suppose j - 124 = -5*c, -4*j - 3*c + 448 + 82 = 0. Calculate the highest common factor of k and j.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 l and 1 g when two letters picked without replacement from lpbeg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (10*m**2 + 192*m - 192*m)*(m - 2*m + 0*m)*(-4 - m**2 + 4).\nAnswer: 10*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -3534 divided by 6\nAnswer: -589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 1011534 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 203 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 145507385 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 4204784 to the power of 1\/2, to the nearest integer?\nAnswer: 2051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify z**8\/(z\/(z\/z**8))*(z**(2\/7)\/z)**(-2\/19) assuming z is positive.\nAnswer: z**(10\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a - 7 = 4*l + 1, 13 = 4*a + l. Suppose 2*n + 92 = 2*z - 2*n, 3*z - 148 = -a*n. What is the greatest common factor of 32 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 2\/9, -0.3, -2\/15, -14, 1.1?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 6004 less than 5998?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*j**2 - 10*j**2 + 3*j**2)*(4*j + 2*j - 2*j)*(-4 - 6 - 2)*(3*j**2 - 6*j**2 + 2*j**2).\nAnswer: -336*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 3111333 (base 4) to base 6.\nAnswer: 143223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 3786497 and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kkv when three letters picked without replacement from ktkknkvkb?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 37617, 37673, 37705, 37713, 37697?\n\"Answer: -12*x**2 + 92*x + 37537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q + 4*x = 46, 20 = -5*q - 4*x + 6. Let w = 19 + q. Let b = -6 + w. Is 2 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (2 + 40\/(-26))\/(-16). Suppose -4*g - 18 = 2*i, 12*g - 17 = -3*i + 17*g. Are q and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: (3\/2 - 4\/(-16)) + -2\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0635 - 0?\nAnswer: 0.0635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/19 + (0 - 27776\/(-1064))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate d**3*f + 6*d**3*v + 2*d*v + 62592*d - 6247149*f*v + 2 with respect to f.\nAnswer: d**3 - 6247149*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 14, -12, 0, -32, -2 in increasing order.\nAnswer: -32, -12, -2, 0, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(4 + (3 + sqrt(1900)*1)**2).\nAnswer: 180*sqrt(19) + 5739","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ssssss. Give prob of sequence ss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = p**3 - 24*p**2 - 26*p - 723. Calculate k(26).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -3 + 13a85?\nAnswer: 13a82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 479 is divided by 113.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1015 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -16*j + 2538 = -8*j - 149*j for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -16*n - 29*n + 90*n - 25*n.\nAnswer: 20*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -43 = -9*a - 16. Solve a*r + 0*r = -15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 3*d + 0)*((0*d - d + 0*d)*(-1 + 4 + 2) + (-8*d + d + 2*d)*(1 - 4 + 0)) + (-2*d**2 + 4*d**2 + 3*d**2)*(-2 + 1 + 2).\nAnswer: -25*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8783241863.\nAnswer: 11, 23, 3917, 8863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in 429, 857, 1275, 1677, 2057, 2409, 2727?\nAnswer: 3005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-1)\/(4 + 1) - 66\/(-605). What is the second smallest value in 0.2, 6, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 15 + 10. Suppose c + l = 4*d, -4*c = 3*d - 0 - 14. Calculate the remainder when 6 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 926 - -3934. Suppose j - 605 = 5*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1.39422 and 57.\nAnswer: -79.47054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 29 - (-76 + 41 + 127)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor o**3\/2 - 1881*o**2\/2 + 3756*o - 3754.\nAnswer: (o - 1877)*(o - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -0.001342656 rounded to 4 dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 469 (base 10) in base 4?\nAnswer: 13111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c be -5*((-144)\/15)\/4. Let y(n) = -4*n - 56. Let q be y(-20). Calculate the highest common factor of q and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -4.639 and -738.\nAnswer: 3423.582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 23*j + 13*j - 27*j.\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/(-9)*(-26 + 17) - (-18)\/(-7)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*w**3 + w**3 + 287927*w**2 - 287927*w**2.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: (10 - 6) + -1 + 1 + -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 560 and 2000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*y**2 - 81 + 81 + 9*y**3 to the form w*y**3 + g*y + f + t*y**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n = 6.939 - 14.939. Let d = -6 - -13\/2. What is the smallest value in 0, d, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12367314?\nAnswer: 2, 3, 687073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express (1 - 7 + 0)*(3 + 1 - 2)*(2 - 3 + 0)*(2*z**2 + 2*z**3 + 2*z - 2*z**2) as n*z**3 + y*z + w*z**2 + h and give n.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-2 - (-252)\/216)\/(5\/(-12)). Solve 10 = x*r, 57*o + 5*r - 23 = 55*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -7877 smaller than -7878?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*sqrt(1100)*-4)**2 + sqrt(1100).\nAnswer: 10*sqrt(11) + 281600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2023938639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 84 and 16?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is fifteen quarters of a milligram in micrograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-2\/9)\/(f\/(f\/((f*f**(-2\/19)*f)\/f))*f))**(-20) assuming f is positive.\nAnswer: f**(7240\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 1872*p**4 - 204*p**4 - 400 + 1762 wrt p.\nAnswer: 6672*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1897 is divided by 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.112 - -0.088. Let i = 1 + -0.5. What is the second biggest value in i, -0.4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 105908.8 minus -4?\nAnswer: 105912.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 231 - 316 = -17*l. Solve 22 = l*h - v, 0*v + 9 = 3*v for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 73 = 5*c - 47. What are the prime factors of ((-14)\/(-21))\/(2\/c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -4 - 12452353?\nAnswer: -12452401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22 + 126 = -4*o + 3*h, 5*h - 130 = 5*o. Let p = 30 + o. Suppose 0 = 4*i - t - 16, 25 = p*i + 3*t + 9. Solve -4*l - 6 = 5*m, -i*l + 6 = m - 2*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = b**2 + 85*b - 748. Calculate v(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(-8)*h*h**(2\/113)*(h**(2\/11)*h*h)**(-20))**(-11\/3) assuming h is positive.\nAnswer: h**(20973\/113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-2)\/(-8) + 35\/20. Suppose -2*k = r - 7 - 1, -3*r = 4*k - 18. Let l(z) = -k*z + 3*z - 5*z - 3 - z**3 - 2 - 6*z**y. Give l(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 10 = i + 2*w, 12*i = 14*i + w - 11 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1\/29 - -80\/203. Let u = 4.4 + 0.6. Let w = 2 + 0. Put w, u, i in decreasing order.\nAnswer: u, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -777 (b) 27.69 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = -r**2 + r + 24. Let j be y(0). Suppose 3*w - 10 = s + 5, 3*s + j = 2*w. What are the prime factors of s\/27 + 94\/18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 3\/5 of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -14*(1\/(-2))\/((-25)\/(-20)*2)\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*x = -23*x - 28*x + 225 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 395, 412, 429, 446, 463?\n\"Answer: 17*r + 378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 37 or 334713?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = 2*n - 40. Let j(f) = 5*f + 8. Let t(l) = 6*l + 10. Let c(v) = -5*j(v) + 4*t(v). Give c(o(z)).\nAnswer: -2*z + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = 11*b - 32. Let q(k) = 4*k - 11. What is 6*f(l) - 17*q(l)?\nAnswer: -2*l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Do -227877566 and -227877566 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((1 + 1 - 3)*(3*u**3 - 7*u**3 + 3*u**3) + u**3 + 2*u**3 - 5*u**3)*(81 - u + 44 - 103) to t*u**2 + i*u**3 + b + m*u + l*u**4 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z be (0 - 2)\/(-2)*-7. Let m(w) = w**3 - 2*w**2 + 3*w + 1. Let a(n) = 4*n**3 + n**2 + 10*n + 8. Let k(r) = -a(r) + 3*m(r). Let f be k(z). Is 2 <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = 17*u - 9. Let k(d) be the third derivative of d**4\/12 - 303*d**2. Calculate k(p(a)).\nAnswer: 34*a - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 20*z**3 - 6*z + 6*z.\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*l**2 - 2*l + l**3 - 44 + 12 + 5*l**4 + 0*l**2 + 30 to d*l**2 + k*l + h*l**3 + p + j*l**4 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-72)\/(-30))\/((-2)\/(-10)). Let l(z) = z**2 - 12 - 4*z - 6*z + 13 - 25. Let w be l(p). Solve -2*a + 4*a + 5*y - 11 = w, 6 = a + 3*y for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor j**2\/10 + 148183*j\/10 - 29637.\nAnswer: (j - 2)*(j + 148185)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = -2*i**3 + i**2 + 10*i - 3. Let z(y) = 2*y**3 - y**2 - 9*y + 4. What is -4*x(h) - 3*z(h)?\nAnswer: 2*h**3 - h**2 - 13*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -263, -532, -833, -1166, -1531, -1928, -2357?\n\"Answer: -16*b**2 - 221*b - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 56, 415, 1014, 1853?\n\"Answer: 120*v**2 - v - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = 49*v + 3. Let i(n) = -24*n - 1. Give -7*i(t) - 3*u(t).\nAnswer: 21*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q be 4\/(-10) - (-24)\/10. Let j be 2\/6*36\/6. Solve 2 = q*d - j for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) be the second derivative of -t**4\/6 + 5*t**3\/3 - 3*t**2 + 2*t. Let m be s(6). What is the units digit of ((-4)\/((-8)\/m))\/(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v - 1 = -w, 0 = -4*v - 0*v + 4*w + 12. Put v, 3, 9 in increasing order.\nAnswer: v, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4669020 to the power of 1\/2, to the nearest integer?\nAnswer: 2161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = 31*r**2 + 10*r - 6. Let g(o) = 31*o**2 + 8*o - 5. Determine -6*g(t) + 5*k(t).\nAnswer: -31*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is -45799 != -45804?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -25 + 25?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = 4*g**3 + 21*g. Let s(n) = 2*n**3 + 11*n. Determine 4*h(d) - 7*s(d).\nAnswer: 2*d**3 + 7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(-1\/2))**(2\/23)\/(t**(2\/3)\/t**4) assuming t is positive.\nAnswer: t**(227\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = 82 + 10*n - 82 - 2*n - 7*n. Let i(g) = -3*g + 2. Let u = -20 - -26. Calculate u*v(z) + i(z).\nAnswer: 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-11 - (-37 + 28))*2\/(-156).\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(-2\/3)\/(b\/b**(5\/3)))**(-14)\/(((b\/(b**(1\/5)\/b))\/b)**(-2\/13)*b**3*b*b\/(b**0\/b*b)) assuming b is positive.\nAnswer: b**(-317\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 3426601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-6 - -5)*(-6)\/2. Suppose 11 = x + 2*q - 10, 33 = x + 5*q. Which is the smallest value? (a) -0.4 (b) x (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2259*a**3*f - 11*a**2 - 1377*f - 4 with respect to a.\nAnswer: 6777*a**2*f - 22*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 378433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = 53*y**3 + 4*y**2 - 3. Let b be a(4). Suppose 26*t - 34*t = -32. Suppose -3*i - t*d = -b, -i - d + 1151 = -0*d. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find p such that 2*p**4\/5 - 12*p**3 - 336*p**2\/5 + 2176*p\/5 = 0.\nAnswer: -8, 0, 4, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + 1*(sqrt(228)*1)\/sqrt(12)*4.\nAnswer: -3 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = 4*h**2 - 10*h - 7. Let x(v) = v**2 + v - 1. Let a(p) = u(p) - 3*x(p). Determine a(12).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12740 is divided by 35.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(1\/6))**39\/(p**(3\/7))**(-11) assuming p is positive.\nAnswer: p**(157\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u - 91 = -671. Suppose -14*x + u = 33. Solve -2*p + 0*p = -x for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = 3*c + 2. Let g be r(16). Let b = -21 + g. Let k = b - 4. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = 3*j + 2. Let p(l) = 16*l + 9. Let t(q) = -2*p(q) + 11*w(q). Calculate t(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = -640504*r + 1280998. Determine f(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ttwwwtww. What is prob of picking 3 t?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 7901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put -84, 0, 29, -5 in ascending order.\nAnswer: -84, -5, 0, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 57637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3 and 1047.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xrdhdjj. Give prob of sequence jhrj.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g - 336 = -4*r, -23*r = -5*g - 18*r - 1650. Is g*(-1 + (-9)\/36) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) be the first derivative of 2*s**5\/65 + 3*s**4\/13 - 38*s**3\/39 - 24*s**2\/13 - 392. Find b such that d(b) = 0.\nAnswer: -8, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 9446.164 milligrams?\nAnswer: 9.446164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 71221676?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v + 6 = -4*i - 2, 5*v = i + 11. Suppose -v*s + 6*s = 16. Solve o = -s*o + 15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*n**3 - 865525*n**2 + 21641670*n + 72714600 = 0.\nAnswer: -173130, -3, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*j**2 - 210226*j = 0.\nAnswer: -105113, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -915236 times 16.5\nAnswer: -15101394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 8*p - 3*p + 20, 0 = 5*l - 4*p + 4. Let s be (-9)\/(-6) + -8 + 728\/16. Is 2431\/s - l\/6 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 + -12 + (2 - (5 - 6))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:34 PM and 6:22 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) be the third derivative of -n**5\/240 + n**4\/24 + n**3\/2 + 19*n**2. Solve l(t) = 0 for t.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*b - h - 18 = 0, -3*b - h + 4 = -6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -1023*j + 1310 = 11540 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 13024478 divided by 10?\nAnswer: 6512239\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is nineteen sevenths of a week in minutes?\nAnswer: 27360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 129*g - 6 + 150*g - 225*g.\nAnswer: 54*g - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3688107 is divided by 1229352?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 223 minutes before 6:15 AM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -60*b + 4 - 13 = -249 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 1.193163 decades to months.\nAnswer: 143.17956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -11507 * 4\nAnswer: -46028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*q - 12 - 0. Suppose q*b = s + b + 49, 4*s = -5*b - 128. Let i = -23 - s. Calculate the remainder when i is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 145\/45 + 6\/(-2). Suppose 23*z = 72 - 3. Which is the closest to 1\/2? (a) z (b) t (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 774 and 15738?\nAnswer: 47214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 4553348581 to the power of 1\/6, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (6 - 6 + 3*q**3)*(-163 - 32 + 41).\nAnswer: -462*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b = 506 - 505. Let w(q) be the first derivative of -5*q**4\/4 - 2*q**3\/3 + q**2 - q - 15. Determine w(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = 20*i**5 + 2*i**4 + 3*i - 9. Let w(n) = 60*n**5 + 6*n**4 + 9*n - 27. Let y(j) = 7*t(j) - 2*w(j). What is the second derivative of y(v) wrt v?\nAnswer: 400*v**3 + 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 152608 to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s = 39320624 + -23820624. Round s to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -29? (a) 9\/10 (b) 2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 180, 202, 238, 294, 376, 490?\n\"Answer: c**3 + c**2 + 12*c + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) be the third derivative of o**8\/504 - 2*o**7\/35 + 17*o**6\/180 + 439*o**2. Factor s(w).\nAnswer: 2*w**3*(w - 17)*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 4, 12, 20, 28, 36, 44?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -4*(-12)\/(-144)*-51 + -12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -15 - -21. What is the remainder when 21 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 152455147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 2137836 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = w**3 + 7*w**2 + 12*w - 3. Calculate z(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w + f = 46, -33 + 95 = 3*w + 5*f. Suppose w = -0*h - 4*h. Is 34\/6*(h - -27) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1473978871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 15091, 30171, 45253, 60337, 75423, 90511?\n\"Answer: h**2 + 15077*h + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = -9 + 10. Let z be 3 - (-2 + (l - -2)). Let m = 19 - 9. Solve -3*b = z*b + m for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g**(-2\/13)*g*g**(5\/3))\/(g**16*g\/(g**(-6)\/g)))**(-6) assuming g is positive.\nAnswer: g**(1676\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -49*t + 51*t + 3*i - 21 = 0, 0 = 3*t + 5*i - 34 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10 + 10101111?\nAnswer: 10110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 71563 is divided by 14112?\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -24, -3, 0, -4\/5 in ascending order.\nAnswer: -24, -3, -4\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*z + 18*z - 385 = 0. Let o(c) = 3*c**2 + 3*c - 4. What is the remainder when z is divided by o(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = 4*f - 3*f + 5 - 5*f + f**2 - f. Let t be j(5). Suppose z - 44 = t. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 7367421 and 6612?\nAnswer: 1653","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b = 162 - 160. Solve -y - 2*y = b*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -15*j**2. Let y(b) = -451*b**2. Let d(x) = 121*g(x) - 4*y(x). Let i = -10 - -14. Let c(m) = m + i*m - 2*m - m. Determine d(c(u)).\nAnswer: -44*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a be 26 + 12\/(-3) + -1. What is the highest common factor of 21 and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -24, -6, 48, 156, 336?\nAnswer: 606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 276, 8, -5.\nAnswer: -5, 1, 8, 276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/3, -4, -91, 1, 2\/3, -3.\nAnswer: -91, -4, -3, 1\/3, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 124308458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q - 62 = 3*w - 60, -24 = -5*q - 2*w. Solve n - 23 = -q*d, 0 = -5*d + 2 + 23 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**6*c)\/(c*c**22\/c))\/((c*c*c**(-3)\/c*c)\/c)**(1\/6) assuming c is positive.\nAnswer: c**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v - 5*h = -111, 2*h = 3*v + 4*h + 112. Let p = v + 46. Suppose -212 = -5*n + 3*u + 36, 3*u = p. What are the prime factors of n?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 19 + -21. Let a be (50 + o)\/(-2)*645\/(-10). Suppose 5*q - 5933 = -a. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1a6 (base 12) to base 16.\nAnswer: 10e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) be the second derivative of n**4\/12 + n**3 - 5*n**2 - 5*n. Let k be p(-8). What is the first derivative of -1 + k + 9*l - 7*l wrt l?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = n**3 + 13*n**2 + 9*n + 28. Calculate a(-12).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 31874 and 2026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-120)\/2*8285\/(-19884).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mzyymzymyzmmymzmy. What is prob of picking 1 m and 1 z?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 273602 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-5)\/((-5 - -5) + -1). Suppose 7*l - 4*k - 8 = 6*l, r*l + k - 19 = 0. Solve 0 = -l*a, -4*i + a = 5*a + 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} {"text":"Question: Solve -5 = -i + r, 2*i - 21*r - 6 = -20*r for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/7, -2\/7, 21 in decreasing order.\nAnswer: 21, -1\/7, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-2)\/4 + 41\/2. Suppose 3*a = -a - q. Let j(i) = -16*i**2 - 30*i - 31. Let r(w) = 3*w**2 + 6*w + 6. Let f(o) = -2*j(o) - 11*r(o). Determine f(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.880561 to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*y - 77 + 92 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*o - 16 = -4*o. Suppose -w - 2*q = 7 - 1, 0 = o*w - q - 21. Solve k = w*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 861? (a) 8 (b) 0 (c) 9 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(-3\/37)\/(m*m**17)*m**(-2\/3)\/((((((m\/(m*m*m*m*m**(2\/67)*m*m))\/m)\/m)\/m)\/m)\/m))**(-34) assuming m is positive.\nAnswer: m**(2204390\/7437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 21 = 14*b + 133 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 6, -1 in decreasing order.\nAnswer: 6, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 495911.\nAnswer: 13, 37, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Product of -1 and -1994.\nAnswer: 1994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 11 + -3 + -2 - 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -113*z + 109*z + x + 159180, -5*z + 198954 = 4*x. What is the thousands digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 19543443?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 43659107 and 497.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -80 = -3*k + 7*k + 8*n, -k + 3*n = 0. Let t(p) = -18 + 0 - 4 - p + 5. Give t(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 9300 and 86786825?\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 588 minutes after 2:22 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -324943*h**5*k - h**4*k - 2778*h*k + 17*h - k wrt h.\nAnswer: -6498860*h**3*k - 12*h**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -c**3 + 4*c**2 + 2*c - 3. Let f be b(4). Is f\/10 - (-613)\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 67298307 to the power of 1\/2, to the nearest integer?\nAnswer: 8204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -d + 3*j + 14, -3*d + 0*d = 5*j - 70. Let r = 1159 + -1119. Let s = d + r. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is three eighths of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 44, 18, -2673, 2 in decreasing order.\nAnswer: 44, 18, 2, -2673","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find r such that -r**4\/2 - 1753*r**3\/2 - 5245*r**2 - 6988*r = 0.\nAnswer: -1747, -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 36583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 443a3 - 174?\nAnswer: 4422e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*s + 4 + 9*s**2 - s**3 - 4*s**2 + 0*s**3 - 4*s.\nAnswer: -(s - 2)**2*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = q**2 + 21522*q + 1992900. What is r(-93)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 24314 (base 5) to base 7.\nAnswer: 5230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = 125*q - 155. What is the tens digit of n(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 370318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 605605 is divided by 235.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*z**2 - 5*z**4 + 2*z + 4*z**2 + 3*z**4 to the form s*z + i*z**3 + w + l*z**2 + q*z**4 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5469108cm in nanometers?\nAnswer: 5469108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y + 1373 = 5*x, -x - y = -4*y - 277. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {x: 1, i: 2, o: 1, r: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t = 76 + -29. Suppose 382 = 5*r + 3*a, -t = -2*r + 4*a + 111. Suppose 3*f = 5*d - r, 3*d = d + 3*f + 38. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -92040000 to the nearest 1000000.\nAnswer: -92000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -79331, -157968, -235905, -313142?\n\"Answer: 350*u**2 - 79687*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*q**4\/3 - 196*q**3\/3 + 10616*q**2 - 63100*q\/3 + 31450\/3 = 0 for q.\nAnswer: -185, 1, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (57 - 57 + 13*z**2)*(-4*z - 2*z + z) + 38 - 115 + 41 + 34 - 10*z**3.\nAnswer: -75*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 214494 and 4152?\nAnswer: 148429848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 143353741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) be the first derivative of 8*m**5\/5 + 3*m**2\/2 - 8. Find the second derivative of b(f) wrt f.\nAnswer: 96*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 - 186.\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j = -2*a + 12 + 16, 0 = -3*j - 2*a - 4. What is the closest to -0.4 in j, -2\/21, 0.11?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u = -0*u + 3. Let b(x) = -5*x**3 - x**2 - x. Let q be b(u). Suppose v = 6*o - o, -2*v + 5*o + q = 0. Solve 5*g = 2 + 8, v*g + 6 = 4*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = u**2 - 14*u + 12. Let v be o(13). Which is the biggest value? (a) v (b) -0.5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 31\/390 and 125\/78.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is -18955 equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 3359010 a multiple of 285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6 - (1 - -4 - -1) - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 34010597 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(1\/10)\/(r*r**11*r))**32 assuming r is positive.\nAnswer: r**(-2064\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = 2*l - 15. Let t(i) = -6*i + 42. Let q(x) = 6*t(x) + 17*w(x). Let z be -6 + (3 + -2)\/1. Calculate q(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -43*q + 769535 = -473552. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (3525\/(-188))\/75*2\/(-7)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 226 a factor of 1578836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 7588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 64*z = 68*z - 28. Suppose 2*l - z*l + 64 = 2*v, v = -3. Solve 4 = -2*x + l for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((p*p*p\/(p**(-2\/5)\/p))\/p)**(5\/16))**(2\/53)*(p**1)**(2\/95)\/((p**0*p)\/p)**(-46) assuming p is positive.\nAnswer: p**(2463\/40280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = -l**2 + 106. Calculate the remainder when m(0) is divided by -3 + (2 - -7*4).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 151, 134, 115, 94, 71?\n\"Answer: -k**2 - 14*k + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -6 = -3*m + 3*o, -6*m + 3*m = -4*o - 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*l + 2445 - 476 = 0. Is 21 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 327 minutes after 11:27 PM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2387.9987544 - 2388. What is g rounded to 4 dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p = -2*s + 14, 2*p - p - 6 = -2*s. Let o = -5 + s. Let i = -26 + 30. Solve -v - i*v = o for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 299036831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1288235*c**5 + 422616*c**2 + 3?\nAnswer: -77294100*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q - 2073 = -2*l, 0*l + 5*l - 5205 = -5*q. Solve 0 = 11*s + l - 967 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 195 and 90?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 219174?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 89019211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate -9 - (3 - 3) - -3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f and 2 u when three letters picked without replacement from {f: 5, u: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 74232 is divided by 352?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 39462577 is divided by 21205?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.24631 + -1.03099. Round q to 1 dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 305248093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = g + 8. Let q be k(17). Let m be 0*(q\/15 - 2). Suppose -4*j + m*i + 332 = -i, -16 = 4*i. What are the prime factors of j?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -69 + 68.9. Which is smaller: -109 or t?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) be the first derivative of -13*b**4\/4 - 2*b**3\/3 - 4*b**2 + b - 42. Find the second derivative of v(f) wrt f.\nAnswer: -78*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*((-2*sqrt(1215)*-4 + sqrt(1215))\/(1*(sqrt(180) + sqrt(180)*2)))**2*4.\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-2)\/(-7))\/((-1)\/(-14)). Suppose 0 = q*m - 6*m + 190. Is m a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u*u*u*u*u**25*u*u)\/(u\/((u\/(u\/u**(-30)))\/u)))\/(u**(7\/5)*u*u**33) assuming u is positive.\nAnswer: u**(-182\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 466 (b) -2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 14585 is divided by 232?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3302, 3312, 3320, 3320, 3306, 3272, 3212, 3120?\nAnswer: 2990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 + (-737)\/143 + 423\/(-39).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*y + 15 = 4*y. Let s be 0*(y\/2)\/5. Suppose 4 = -d - d, s = m + 5*d. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.4 (b) -0.21 (c) 2\/15 (d) 150.99 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from jjjjjjjjjjjjjjjjjjmj. Give prob of sequence jjjj.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand 133 + z**4 - 4*z**3 - 133 + 0*z**4 - 2*z**4 + z**4 + (-z**3 - 2*z**3 + 4*z**3)*(1 + 2*z - 1).\nAnswer: 2*z**4 - 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 253 is divided by 59?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*x - 5*q = -15, 5*x - q - 757 = -760 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5358 - 5262 + 10620 - 14619*v**2 to the form x*v**2 + s*v + h and give x.\nAnswer: -14619","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s = -359489\/164 - -2192. Is -0.07 less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = -h**2 - 12*h + 14. Let d be b(-11). Let p = d - 7. Factor -p*l**4 + 0*l**3 + 2*l**2 - 4*l**3 + 20*l**4.\nAnswer: 2*l**2*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 9813003 divided by -1\nAnswer: -9813003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i = 103 - 83. Suppose 0 = -25*l + i*l + 30. Solve 7*n - 2*n - l = -w, 0 = -3*w - 3*n - 6 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2 + sqrt(2) + -3)*4*3 + -5*(sqrt(200) + -2*sqrt(200))*-1)**2.\nAnswer: 912*sqrt(2) + 3032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m be 12\/(-24)*(-2)\/(-9). Which is smaller: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 - (17 - (-25 - -19))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 41611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 94, 215, 336?\n\"Answer: 121*w - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((x**(4\/7)*x*x)\/x**(-2\/3))\/(x**4)**8)**(-2\/9) assuming x is positive.\nAnswer: x**(1208\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2 + -8. Let r(u) = -u**2 - 13*u - 2. Let s be r(f). Suppose 5*d - 57 = -3*o, 2*d + 2*d = -o + s. Is 6 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1603234*q = -1602779*q + 48685 for q.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor i**5\/3 - 11*i**4\/3 + 37*i**3\/3 - 15*i**2 + 6*i.\nAnswer: i*(i - 6)*(i - 3)*(i - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-14)\/(-35) + 12\/(-5). Let i be -2 + (f - (-34)\/(4\/2)). What is the greatest common divisor of 104 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -10*k - 11. Let a(o) = 41*o + 65. Let f(y) = -a(y) - 4*u(y). Calculate f(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*h**3 + 52*h**2 + 504*h - 2592.\nAnswer: -4*(h - 18)*(h - 4)*(h + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 13221, 52892, 119009, 211572, 330581, 476036?\nAnswer: 647937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 35024, 39544, 44064, 48584, 53104, 57624?\n\"Answer: 4520*k + 30504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*w**2*x**4 + 190*w**2*x + 22*w + 8243*x**4 - 2*x**2 wrt x?\nAnswer: -48*w**2*x + 197832*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -76507 + -42?\nAnswer: -76550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -504115*a + 468352?\nAnswer: -504115","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-391)\/(-119) - 2\/21*3. Suppose -2*x + 139 = n*s, 2*s = -x + 5*s + 47. What are the prime factors of x?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = 3*m**2 + 4*m + 3. Let i be (-251)\/(-5) + (32\/(-10) - -3). Suppose 8*y = 18*y - i. Suppose y*w = -0 - 15. What is q(w)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 136*b**2 + 2654*b**2 - 709*b**2 - 415*b**2 - 655*b**2 + 106*b**2.\nAnswer: 1117*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(sqrt(99) - -1*(sqrt(99) + 1*sqrt(99)) - (-5*(2*sqrt(99) - sqrt(99)) + sqrt(99)))*5)\/(4*-4*sqrt(81)*-2*3).\nAnswer: -35*sqrt(11)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 138 and 24978.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -265177, -530393, -795607, -1060819, -1326029?\n\"Answer: u**2 - 265219*u + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Determine t so that -2*t**5 + 3034*t**4\/7 - 23198*t**3 - 219082*t**2\/7 + 283400*t\/7 + 95048\/7 = 0.\nAnswer: -2, -2\/7, 1, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = 6*c**2 - 37 + 35 - 6*c**2 + 9*c - 5*c**3. Let v(n) = -1059764*n**2 + 4*n - 1 + 1059764*n**2 - 2*n**3. Calculate -6*g(b) + 14*v(b).\nAnswer: 2*b**3 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-4)\/5*-1*10. Suppose -c + 10 = -s. Let 10*x**2 + x - 2 + 9*x**2 - c*x**2 = 0. Calculate x.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -225 - 127 = -51*g + 158 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -3 (base 14) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = 68 + -70. Which is the biggest value? (a) s (b) -0.4 (c) -3 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) be the second derivative of -n**3\/6 + 1234*n. Let y(d) be the third derivative of d**5\/15 + d**2. Calculate t(y(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p be 0 + 1\/(1\/6) + -1. Which is the biggest value? (a) 2 (b) -0.18 (c) -3 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 483 times -0.55?\nAnswer: -265.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express -t**2 + 4*t**3 - 998*t + 0*t**4 + 996*t - t**4 - 3 as b*t + g*t**4 + h*t**2 + p*t**3 + f and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3491*n = 3490*n + 504. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 8953491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: (-2)\/(-6)*954\/53\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 51271?\nAnswer: 11, 59, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*b = -4*b + 1324. Suppose 0 = v - w + 3*w - b, -5*v - 4*w = -1667. Suppose -4*t = t - v. What is t rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p\/(p*p\/(p*(p\/(p**(-3\/8)*p))\/p))*p)\/p*p*p*p**(-13)*(p*p*p\/(p*p**(5\/6)*p))\/p**(1\/18) assuming p is positive.\nAnswer: p**(-829\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1159 + -1129. Suppose 1030*c - w = 1024*c. Let a(j) = -j**3 - j**2 - j. Let v = -1 + 2. Let p(f) = 4*f**3 + 5*f**2 + 5*f - 5. Calculate c*a(i) + v*p(i).\nAnswer: -i**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) be the first derivative of -o**7\/840 - o**6\/60 + o**4\/8 - 6*o**3 + 7. Let c(b) be the third derivative of a(b). What is c(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-5110)\/(-21)*6\/14. Let k = 104 - m. Let s = -1.89 - -2.89. What is the second smallest value in -2\/11, k, s?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one fifth of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4897861.\nAnswer: 4897861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express j**3 - 5*j**4 + 7*j**2 + 3 + 2*j - 2 - 9*j**2 in the form k + q*j**2 + b*j**4 + y*j**3 + t*j and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 1161c93 (base 13) in base 12?\nAnswer: 1971a19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: (((-1)\/14)\/(4\/(-14)))\/1\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(396))*-3*2 + ((sqrt(396) + (sqrt(396) - (1*sqrt(396) + -2)))*-3)**2.\nAnswer: 180*sqrt(11) + 3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is (-15184)\/(-2028) - (-66)\/(-9)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in six fifths of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 + 45 = 10*n. Suppose n*y = i + 120, -2*i + 5*i - 133 = -5*y. Calculate the remainder when y is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 48265080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a = -2*c + 4*c + 92, -3*c + 2*a = 163. Let f = -142 + 56. Let i = c - f. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 18\/8*(-32)\/(-6). Let g be (18\/z)\/(3\/10). Suppose -75 + 0 = -g*d. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 53 minutes after 11:38 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r\/(r**(-1\/5)*r)*r)**(-9) assuming r is positive.\nAnswer: r**(-54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange x**2 + 0*x - x**3 + 7*x + 3*x to the form n*x**2 + s*x + m*x**3 + b and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -94.3 rounded to the nearest integer?\nAnswer: -94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 15 - (8 + -8) - (16 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = 85 - m**2 - 7 - m**3 - 4*m**2 - 2*m + 7*m**2. What is the units digit of w(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = -j**4 + j**3 + j + 1. Let x(t) = -148*t**4 + 6*t**3 + t**2 + 848*t + 6. Let p(m) = -6*o(m) + x(m). Find the third derivative of p(q) wrt q.\nAnswer: -3408*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: Solve 5*m + 4*g - 139 = 0, 0 = -2*m - 11378*g + 11398*g + 142 for m.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 208670 divided by -41734\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -3*k - 33. Give q(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -12*j + 6. What is the hundreds digit of g(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (65159\/46)\/((-8)\/(-16)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 + t**3 - 2 + (t - t + t)*(0*t + 2*t**2 + 0*t) + 4*t**3 - 3*t**3 - 5*t**3)*(-2 + 1 + 0) to o*t**2 + d + g*t + q*t**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-6*h + 4*h - 2*h)*(10 - 1 + 13) - h + h + h)*(-2 + 2 - 4*h**2)*(-2 + 1 + 0).\nAnswer: -348*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k + 7972 = -3461. Let t = -30431\/8 - k. Find the common denominator of t and 5\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-108)\/144)\/((-1068)\/(-116768))?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = -139 + 1389\/10. Let n = -115 - -235\/2. Which is the closest to -1\/4? (a) n (b) -4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 685\/274*((-7462)\/35)\/13.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -303*j - 1521. Let g be x(-5). Let w(t) = -9*t**2 - 2*t - 20. Let i(f) = -10*f**2 - 2*f - 20. What is g*i(r) + 7*w(r)?\nAnswer: -3*r**2 - 2*r - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express 3*n**2 - n**2 + 5*n**2 + 144 + 0*n**2 - 94 as p*n + b + t*n**2 and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -4 (b) -7\/6 (c) 0 (d) 20 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*o - o + 4*h - 1203 = 0, -2*o - 5*h = -488. Suppose 6*r - 163 = o. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000619 rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6 - (-9 + 3)) + -4 + 17 + -28?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 0.3629873 milligrams?\nAnswer: 0.0000003629873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 4171912193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert -28b64 (base 15) to base 9.\nAnswer: -218404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = -8 + 41. What is the remainder when 263 is divided by b?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 5, -65, -181, -343, -551, -805, -1105?\nAnswer: -1451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1095017.\nAnswer: 7, 11, 14221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b = -10423 - -10427. Solve 5*r = b*u - 7*u - 12, 5*r + u = -14 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-1)\/2 + ((-4)\/(-8) - 0). Suppose 0 = -5*c + c - 4, -2*y = 3*c - 1. Suppose 4*i - p - 2696 = q, -2*i - y*p = 3*p - 1326. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify s**9*s*s**(-1\/4)*(s\/(s*s**(3\/7)*s))**(-16) assuming s is positive.\nAnswer: s**(913\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (w + 9*w + 5*w)*(99*w + 96*w - 215*w).\nAnswer: -300*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 1, k: 12}. What is prob of picking 2 k and 1 d?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6 - (9 + 0 + -10 + 8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u be (4 - -2)\/(8\/20). Let r(h) = 15*h + 2 - u*h + h**2. What is r(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 673005 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 45*d - 2*d**2 - 6*d**2 - 45*d - 4 wrt d.\nAnswer: -16*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (640\/(-56))\/(-4)*(-4)\/32*-28.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 + -2 + 14 + (-3 - (7 + -5)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4724*p - 7597*p + 662*p - 81534*p.\nAnswer: -83745*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0001169 rounded to five decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s = 223 - 200. Solve -5*l + k - s = -2*k, 4*l + 18 = 2*k for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(-2*sqrt(1573))**2 - sqrt(1573)) + sqrt(1573) + sqrt(1573) + (-5 + 2 + sqrt(1573))**2 + (1*(sqrt(208) - 4*(sqrt(208) + 1)))**2.\nAnswer: 41*sqrt(13) + 9762","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (8\/48)\/(3\/(9\/1)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = -9*l - 1. Let y be f(1). Suppose 6*u + 139 + 59 = 0. Calculate the smallest common multiple of 2 and u\/(-6) + (-5)\/y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 64 (base 7) to base 10\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -12012010001222 (base 3) to base 7\nAnswer: -32304260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -8264261 at least as big as -8264261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 15903 and 533007.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: (1*27\/(756\/8))\/((-870)\/210)\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 846032 divided by -6992?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = 3*k + 178. Let z(n) = -n. Determine z(f(i)).\nAnswer: -3*i - 178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1969.\nAnswer: 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is -640\/5121009 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = 36*m - 31*m. Suppose -m*u = -10 - 2. Calculate the remainder when 17 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -64.7 times 0.01?\nAnswer: -0.647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x be 3\/((-21)\/2) - (-6189)\/(-21). Let j = x + 535. Suppose 4*b - j = -11*b. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 3 (b) -0.2 (c) 3\/4 (d) -4\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 4*m, 5*r - 3*m + 127 = -212. Find the common denominator of (42\/(-56))\/(r\/(-356))*-1 and 56\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 14980686 = 14980688?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gwhe when four letters picked without replacement from nwthgee?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is -2 greater than -27689?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p = 5 - 3. Let y(o) = -6 - 4 + p + 9 - o. What is y(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ofocfffuu. Give prob of sequence ucuo.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 2 + 0)*((0 - 4 + 0)*(3*v - v + 5*v) + 2*v - 2 + 2).\nAnswer: -52*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.8 (b) 0.5 (c) -0.08 (d) 210 (e) 24\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 850 - 955.6. Let l = -9.11 + -95.89. Let i = m - l. Sort i, -2, 0.3, 0 in ascending order.\nAnswer: -2, i, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -160454 (base 9) to base 15\nAnswer: -1e40d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -22\/45 and 107\/64839420?\nAnswer: 64839420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*a + 8*k - 11*k - 13 = 0, 0 = -5*a + 3*k + 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 137 and 6713.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = 3*i**3 - i**2 + 23*i + 11. Let b be r(13). Suppose 50*x = 32*x + b. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 313126259?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_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: Simplify ((5*(sqrt(136) + sqrt(136) + 2*sqrt(136)) - sqrt(136))\/(1*sqrt(800)))**2.\nAnswer: 6137\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -f**3 + 73*f**2 - 1368*f + 1296.\nAnswer: -(f - 36)**2*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*g - 2*o + 4, -g - 8 = 75*o - 73*o for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r = -11 + 7. Suppose 10*y = 7*y - z - 4, 3*z + 12 = 5*y. Put r, -5, y in increasing order.\nAnswer: -5, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 911, 1628, 2345, 3062, 3779?\n\"Answer: 717*r + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.004 in 0.085, 0.7, -0.1, 1?\nAnswer: 0.085","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kkrx when four letters picked without replacement from rpurkrxbukrbxrrbrxk.\nAnswer: 7\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1 - 3) + 2 - -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = -l**3 - 93*l**2 - 97*l - 391. Give g(-92).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 4 divided by -2751?\nAnswer: -4\/2751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n - 3*a - 9 = 0, 4*n = 3*a + 14 - 5. Suppose -3*l - 1 - 2 = n. Which is greater: l or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(128) + 2*sqrt(128))\/(sqrt(576)*4))**2.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o be 1\/(-2) - (-144)\/(-32). Let f = -7 - o. Let n be f\/8 + (-427)\/(-28). Solve b - 4*b = n for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 1089, 1101, 1127, 1173, 1245, 1349?\n\"Answer: g**3 + g**2 + 2*g + 1085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 4035.51 rounded to the nearest ten?\nAnswer: 4040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y = 3252 + -3245. Solve -y*s = 17*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 20*c**2 - 7*c**2 - 13*c**2 - 106*c**3.\nAnswer: -106*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 399 minutes before 12:47 AM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 2651 + -64?\nAnswer: 2554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 17020.854 months?\nAnswer: 14.184045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Do 101 and 103 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 451859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*s + 4*s - 5*s)*(3*s**2 - 5*s**2 + 3*s**2) + s**3 - 2*s**3 - s**3 + 21*s + 2*s**3 - 21*s + (-4*s**2 + 2*s**2 + s**2)*(-2*s - 3*s + 3*s).\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = d**3 + 7*d**2 - 6*d + 6. Let h(c) = -4*c - c + c**3 + 0*c**3 + 6*c**2 + 5. Let y(j) = -5*b(j) + 6*h(j). What is the third derivative of y(o) wrt o?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = 2*r**2 + 4274*r + 38333. What is y(-9)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express 149*d**3 + 464*d**3 + 1105*d**3 - 7*d + 8*d - 262*d**3 as s*d**3 + r + g*d + q*d**2 and give s.\nAnswer: 1456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 2539 - 12123 = 141*y + 91*y + 9208 for y.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 203767404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 16 (b) -12\/7 (c) 0.3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2)\/(-5) + (-341)\/165.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 3 = 0, o - 2*o = x - 6. Solve 4 = -b, -2*n + x*b = -6 - 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 71\/748 and (-1)\/119*(36 - (-520)\/(-32))?\nAnswer: 5236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 218, 859, 1926, 3419, 5338, 7683?\n\"Answer: 213*u**2 + 2*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*q + q - 160. Suppose q = 4*a - 76. Calculate the remainder when a is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = a**3 + 40*a**2 - 46*a - 130. Calculate the remainder when 365 is divided by c(-41).\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 8980 to the nearest 100.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*h**2 - 26*h**2 + 5163 + h - 2578 + 23*h**2 - 2585.\nAnswer: 2*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -1\/3, -1, -1\/32, 20.8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 81*g - 155 + 236 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u be 4\/(-10)*(-10)\/42. Sort -1, u, 0.\nAnswer: -1, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 55 (base 15) to base 16\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = -83843550.99999584 - -83843494. Let k = t - -57. What is k rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*l - 3*d - 4, -3*d = -3*l - 72 + 84 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2661 divided by -8.\nAnswer: 2661\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is (-6)\/(-4)*(-160)\/60?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12426\/(-2071)*4\/6*6\/468.\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 201\/144 + (-50)\/(-30) and -29\/68?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = 20*w**2. Let k(s) = 4*s - 2*s - s - 3*s. Give k(u(h)).\nAnswer: -40*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + ((5*sqrt(189)\/sqrt(3))\/sqrt(7))\/(((sqrt(48) - sqrt(48)*-1) + sqrt(3))*6).\nAnswer: -5 + 5*sqrt(3)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 67 or 401\/6?\nAnswer: 401\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -p**4 - 320*p**2 + 754*p?\nAnswer: -12*p**2 - 640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1636, -3276, -4916, -6556?\nAnswer: -8196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = o**2. Let v(g) = -1686*g. Calculate q(v(c)).\nAnswer: 2842596*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 53161126 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m = -5 + 8. Let d = m + -5. Let l = -23 + 22. Which is bigger: d or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.051842 rounded to 3 decimal places?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 2dd6 + 17?\nAnswer: 300d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*c + s - 2 = -15*c - 57, -141 = 67*c - 67*c + 3*s for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l be 4 + -1 + -1 + 2. Suppose -128 = -5*n + 4*q, -l*n + q + 2 = -96. Is 16 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.6 (b) -5\/4 (c) -2 (d) 3\/58 (e) 3 (f) -40\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/5 != 7793178?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 30 divide 5130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -271.3 + -790.8?\nAnswer: -1062.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 148899011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: What is 19 minutes before 8:25 PM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1140 - 1109. Which is the fifth biggest value? (a) i (b) -3\/5 (c) 4 (d) 0.1 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -23011 * 3.\nAnswer: -69033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -214806, -214798, -214772, -214716, -214618, -214466, -214248, -213952?\nAnswer: -213566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put 0.2, 0.06, 1, 0.1, -0.5 in decreasing order.\nAnswer: 1, 0.2, 0.1, 0.06, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u = -25 + -54. Let t = u + 95. Suppose -2*y = -y - t. Calculate the remainder when y is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 106970 and 570?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c, 2 m, and 1 u when four letters picked without replacement from {o: 1, x: 3, m: 6, u: 5, c: 2}?\nAnswer: 15\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -3.953527 rounded to one decimal place?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 114294144, 114294149, 114294156, 114294165, 114294176, 114294189, 114294204?\nAnswer: 114294221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -2*d + 3. Does 4 divide m(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = -5*n - 3. Calculate w(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/(((-3)\/366)\/(-1)*(-315)\/(-315))\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2 - -3) + -9 + -2 + -20.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1559.5 + -1559. Suppose 0 = -3*n + 9. Suppose -3*i + 3*y + 9 = 0, -i + n*y = -y. What is the nearest to 0 in i, w, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 78064.53g to nanograms.\nAnswer: 78064530000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + 4 + sqrt(55)\/(3*sqrt(1584)) + (-5 + sqrt(30)\/(sqrt(162)\/sqrt(3)))**2*-2.\nAnswer: -442\/9 + 241*sqrt(5)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*x - 47 = -5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*b - 8*b - 19*b = -3990. Which is smaller: 96 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 r, 1 i, and 1 v when four letters picked without replacement from icvcrgrrvr.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*p**2\/2 - 135237*p\/2.\nAnswer: 3*p*(p - 45079)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -200, -409, -620, -833, -1048, -1265, -1484?\nAnswer: -1705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -24*l = -23*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 629, 10, 4, -156, -16, -3.\nAnswer: -156, -16, -3, 4, 10, 629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 7 and -0.24297?\nAnswer: 7.24297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n + 172 = b, -4*b + 953 = 2*n + 195. Suppose 0 = -201*x + b*x + 6496. Is 58 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 70*c + 4*c + 592 = 0 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 455, -2\/55, 1, 0.252?\nAnswer: 0.252","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -t**3 - 8*t**2 - 8*t - 1. Let p = -108 - -101. Let r be b(p). Suppose 12108 = 6*n + r*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10*48\/(-320)*-2*1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = z**2 - 9*z + 6. Let v be r(7). Let t = 10 + v. What is the second derivative of 6*b - 2*b**2 - t*b**2 + b**2 - b wrt b?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 1, y: 2, u: 5, q: 1, z: 3}. What is prob of picking 1 z and 1 u?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -1 - -129?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -4 = -4*i - 19*o + 17*o, 4*o = -8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1 - 1) + -3 + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-2 + 24 - 16) + (0 - 7)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-1095)\/(-292)*24\/(-162)\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 823, 3818, 8807, 15790, 24767, 35738, 48703?\n\"Answer: 997*c**2 + 4*c - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -10 (b) 163621 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose y - 4*d - 7 = 0, 3*y + d = -0*d + 47. Calculate the remainder when 29 is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = 113*t + 1. Let p be o(-1). Let w be (-512)\/p - 3\/(-7). Suppose -3*y - 2*y - 2*h + 260 = 0, 4*h + 260 = w*y. What are the prime factors of y?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 - 6 - -4 - (-689 - -698)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/((-3)\/(-27))*13\/(117\/(-12)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = -y**2 - 12*y - 6. Let v be a(-11). Suppose 4*x = -4*h + 280, 0 = -0*x - x + v*h + 58. Is x a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*d + 22*d + 35 = 3*j, -2*j = d - 5. Suppose 0 = i - 4*u - 23, 5*i - j*u - 18 = 52. Calculate the remainder when 98 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1264 - -1265. Put y, -1\/5, 3, -4 in ascending order.\nAnswer: -4, -1\/5, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w + 3*u = -u - 11, 0 = 3*w + u - 16. Put w, -5, 4 in ascending order.\nAnswer: -5, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 710.47654 rounded to the nearest 10?\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -109*i**4 + 9*i**3 - 7*i**2 + 67*i - 2?\nAnswer: -2616*i + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u = -10 - -14. Let x = 2 - 0. Let a = -0.4627 - -0.7627. Put a, x, u in descending order.\nAnswer: u, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 575*c + 4395 - 945 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 36 = -2*b. Suppose -q + b = -4*f, 2 = -5*f - 8. Is 0.1 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-2 - (-7 + 4))\/1. Let s(a) = 5*a - 3. Let b(g) = g - 1. Determine v*s(y) - 3*b(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 3116848 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.46571 + 59.50369. Let u = -60 + w. What is u rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -13496 + 26529. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h\/(h\/(h*h**4)))\/h**(1\/34) assuming h is positive.\nAnswer: h**(169\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.03 + -0.03. Put -10, 4, d in descending order.\nAnswer: 4, d, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (5 + (1 + sqrt(252) + sqrt(252))**2 + -2 + (4*(sqrt(35) - sqrt(70)\/sqrt(2)))\/sqrt(320))*3.\nAnswer: 72*sqrt(7) + 3031","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -354*f - 921 = -80*f + 146*f + 21339 for f.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1682 and 3886?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -3*l**2 + 4*l. Let r(n) be the third derivative of -n**5\/60 + n**4\/24 - n**2. Suppose 0 = 3*w + w - 4. Give w*a(f) - 4*r(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27*h = 29*h - 4. Suppose 10 = h*y + n, 5*y + 0 = -5*n + 25. Calculate the remainder when 18 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1672027.\nAnswer: 7, 34123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 56, 46, 34, 20, 4?\n\"Answer: -o**2 - 7*o + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -14*-22\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xxvkvtvvkxkxxkvx. What is prob of sequence tk?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00008697 rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -65 + 50?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v = -42 + 48. What is the highest common divisor of v and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1320 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express 2803*o**2 + 132*o**4 - 2803*o**2 + (4*o - 4*o + 3*o**3)*(5*o - 5*o - 4*o) as t + d*o**3 + j*o**2 + a*o**4 + l*o and give a.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m + 2*t + 648 = 0, 33*m - 4*t = 35*m - 334. Calculate the remainder when 2119 is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c and 1 n when two letters picked without replacement from {r: 1, c: 1, f: 1, n: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find v, given that -2*v**5 + 52*v**4 - 404*v**3 + 408*v**2 + 4806*v - 4860 = 0.\nAnswer: -3, 1, 9, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 3910030259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*m**4 - 26920266*m**3 - 161521668*m**2 - 323043384*m - 215362272.\nAnswer: 3*(m - 8973428)*(m + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*r = -3*l + 6, 4*l - 1 = 4*r + r for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 18916 is divided by 8995.\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1996.\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-2002)\/(-572) + 410\/(-116). What is the closest to i in 3, 1\/5, -1\/2, -2\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*u**2\/11 - 169680*u\/11 - 3598912800\/11.\nAnswer: -2*(u + 42420)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Add -1144 and 2403635.82.\nAnswer: 2402491.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -131388*i**3 + 2*i**2 + 5*i - 24395 wrt i.\nAnswer: -788328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 2406919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-13)\/4 - 3)*640. What is f rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*k**3\/7 - 9*k**2 - 24*k - 108\/7.\nAnswer: -3*(k + 1)*(k + 2)*(k + 18)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -43*d**3 + 2*d**2 + 2*d - 2. Let t be 221 - (1 + -1 - (17 + -29 + 6)). Let r(w) = 4601*w**3 - 215*w**2 - 215*w + 215. Determine t*m(g) + 2*r(g).\nAnswer: -43*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -276 - 94 = -37*v. Let z(x) be the first derivative of -4\/3*x**3 + 16 - 16*x - v*x**2. What is r in z(r) = 0?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = -c**3 + 9*c**2 - 8*c + 8. Let q be n(7). Suppose -5*v - h = -4*h - 103, 0 = -h - 1. What is the highest common factor of q and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v = 3*c - 4*v - 645, 4*v = -c + 215. Suppose c = 3*z + 2*p, 3*p = -5 - 10. Calculate the remainder when z is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 1\/(-3*(-4)\/24) - -8. Suppose 0 = -9*h + s*h - 88. Let c be (18 - 0)*(h\/12 - 7). What is the greatest common divisor of c and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 75734370 to the nearest 1000000.\nAnswer: 76000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-2\/5)\/(x\/x**(7\/4)*x))**1*((x**6\/x)\/x*x*(x**(-3\/7)*x*x)\/x*x*x)\/((x\/(x*x**3))\/(x**(2\/9)\/x)) assuming x is positive.\nAnswer: x**(11521\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s = -16 - -57. Suppose -d + s = t - 5*t, 4*d - 122 = -5*t. Let g = d + -23. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 4, k: 5, a: 2, p: 5}. What is prob of picking 2 a and 1 r?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: Suppose 70 = 3*r + 16. Suppose -f + r = -4. Is f*(0 - (-21)\/6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1263936, 1263935, 1263932, 1263927, 1263920, 1263911?\nAnswer: 1263900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 41734 is divided by 4594?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o be 15\/2*2\/3. Let n = -11 + o. What is the lowest common multiple of 12 and ((-2)\/6)\/(1\/n)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 52 + -36. Let b = j - 18. Is (b - -51*1) + -3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 1140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2732744?\nAnswer: 2, 7, 48799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t = 3*k + 57717, -4*t + 76944 = -0*k - k. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -16 (b) -4 (c) -1\/5 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*c + 6 = 3*v, -5*c = -116*v + 111*v + 5 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = -2*j**2. Let p(n) be the second derivative of -115*n**4\/12 - 26*n + 3. Calculate p(o(u)).\nAnswer: -460*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 275 (base 13) to base 7\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: (1 - -11) + (-14 - -2 - 13)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 6912597 to the power of 1\/2, to the nearest integer?\nAnswer: 2629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w be (7\/(-14))\/((-1)\/6). What is the second derivative of -s + 13*s - s**3 - w*s - 4*s wrt s?\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1596940 to the power of 1\/2, to the nearest integer?\nAnswer: 1264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-8)\/12 + 11\/3. Does 19 divide (-3 + i)\/1 - -46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n = -4*c + 50 - 202, -4*c + n - 128 = 0. Let t = c - -56. What are the prime factors of t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -91 + 88. Let o(l) = -817*l - 14. Is o(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((0\/(-2))\/4)\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -3*p. Let z(i) = i**2 + 35*i - 242. Let w be z(6). Calculate q(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify u**(-2)*u\/(u*u**(-2\/5))*u*u\/(u**(-2\/9)*u)*u*u*u*u**7 assuming u is positive.\nAnswer: u**(433\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort -7, 3926, 0, -23.\nAnswer: -23, -7, 0, 3926","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from bppbpbbbpppbbppbpbpb. What is prob of picking 2 b and 1 p?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Work out 56835 + -11560.3.\nAnswer: 45274.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is ((-24192)\/1248*2\/6)\/(638\/4147)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 80710154 divided by 3\nAnswer: 80710154\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -5*z**2. Let i(c) = -162*c. What is b(i(o))?\nAnswer: -131220*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) be the first derivative of 7*o**3\/3 + 3*o**2\/2 + 9. Find the second derivative of m(f) wrt f.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1 + 3. Let b(m) = 4*m - 4*m + 2*m + 6*m**3 - m - 2. Let f be b(t). What is the highest common divisor of f and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 1, 2, -3 in descending order.\nAnswer: 5, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c - 1064 = -3*p - p, -3*p + c = -818. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = 5*t - 6. Suppose 0*u - 5*u + s + 22 = 0, 3*u = 3*s + 6. Let n be q(u). Suppose 4*a - 63 + n = 0. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 3057, 6132, 9207?\n\"Answer: 3075*b - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 + -5 + -8 + 5 - (-5 + -18).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, 3, -403, 0 in descending order.\nAnswer: 3, 0, -6, -403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c be (5\/(-10)*-6)\/((-3)\/(-6)*-9). Let v = 1 + -0.7. Sort -1\/37, v, c.\nAnswer: c, -1\/37, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 13.288, 4, -1.1 in ascending order.\nAnswer: -1.1, 4, 13.288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = z**2 + 17*z + 62. Suppose 0 = -2*j - 7*j - 66 - 33. Calculate x(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.3296 and -49250?\nAnswer: 16232.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 710 + 706 + 94*m + 717 - 2133.\nAnswer: 94*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j + 10 = -5, 0 = -t + 2*j + 23. Solve 0 = 3*u + t - 8, 5*c + 13 = 4*u for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -19 + 9. Let d be (25\/x + 1)*(-16)\/6. Suppose -3*k - 5*r = -7, -3*r = k - 3*k + 11. Solve y - 20 = -4*w - y, -28 = -d*w - k*y for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1.52709um to millimeters.\nAnswer: 0.00152709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -g**3 + 3*g**2 + 7*g - 7. Let f be a(4). Suppose c - 14 = 2*u, -3*u + u + 46 = 2*c. Suppose -c = j - f*j. Put 4, j, -2 in increasing order.\nAnswer: -2, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 148\/117 - (-20)\/(-130). Which is the biggest value? (a) 4 (b) k (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8563021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -42956*g + 7934 wrt g?\nAnswer: -42956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q = 6 - 3. Let f = 12 + -9. Suppose -3*m + f = -21. What is the remainder when m is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is cc370 (base 13) in base 5?\nAnswer: 43312234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 398.4526 + -87\nAnswer: 311.4526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 46 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -7*j - 39734. Let o(h) = -3*h - 4. What is o(p(i))?\nAnswer: 21*i + 119198","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 7433, 8722, 10011, 11300?\n\"Answer: 1289*q + 6144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r = x - 2*x + 12, -2*r - 6 = -4*x. Find the common denominator of ((-18)\/8)\/x*594\/(-45) and 194\/6*(-6)\/40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -50888 divided by 244?\nAnswer: -12722\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (11*q + 17*q - 14*q)*(-3 - 8 + 20)*(13*q - 11*q + 15*q)*(-2*q - q + q).\nAnswer: -4284*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.4 and -1.236049956186.\nAnswer: -0.836049956186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i - 2*l = 1, -l + 2 - 4 = -3*i. Let j be (-1)\/(i\/(-5)) + -2. Let v be -1*(0 + j\/(-3)). Solve -b = 2 - v for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 b, 2 f, and 1 o when four letters picked without replacement from ofbbbobobbooobbfb?\nAnswer: 27\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 16544186?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h = 123 - 122.5. Let o be 2*-1*1\/1. What is the closest to -2 in h, o, 0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b + 15 = 3*g, 5*b - 2*g = -g + 25. Let d = b + -4. Calculate the greatest common factor of d and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -17155 divided by 6?\nAnswer: -17155\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g = -84 - -119. Let m = g - 35.5. Sort m, -5, 3 in increasing order.\nAnswer: -5, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 9 + -9.24. Let t = 50 + -49.95. Let i = t - d. What is i rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 54869.62l in millilitres?\nAnswer: 54869620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -66 - 207 + 0*c**2 + 16*c**2 + 11*c**2 - 23*c**2.\nAnswer: 4*c**2 - 273","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2855740 is divided by 10539?\nAnswer: 10210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -d**3 + 18*d**2 - 49*d - 30. Let l be w(4). Put -0.1, -4, -0.58, l in decreasing order.\nAnswer: -0.1, -0.58, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = -17*a - 98. Suppose 11 + 19 = -5*r. Let d be g(r). Solve -6*y + d = -10*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1363875 to the power of 1\/2, to the nearest integer?\nAnswer: 1168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9 + -7 + (4\/10 - (-1794)\/115).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 10 + -9. Let t be ((-11)\/33)\/(b\/15). Let p(n) = -n**2 - 5*n - 4. Determine p(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (10\/8)\/(2600\/416). Let a be -1 - (624\/(-5))\/(-2). Let t = 63 + a. Sort s, t, 0.3 in decreasing order.\nAnswer: 0.3, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (38\/4 - -1) + (-78)\/52. Let y = 20 + -2. Calculate the greatest common factor of t and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate l**3*u - 855*l*u**2 - 1810*u**2 - u + 2 wrt l.\nAnswer: 3*l**2*u - 855*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = -f + 44. Suppose -2*s = -4*d + 8, -2*s - 2 = -2*d - 0. Let i(a) = -4*a**2 - 192*a + 192*a + d*a**2. Determine y(i(q)).\nAnswer: q**2 + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 109601 is divided by 84?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = -217*j + 1718. Determine c(8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 5, -1\/3, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**6\/n**(-7))**(-3\/7) assuming n is positive.\nAnswer: n**(-39\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1464884390 to the nearest integer?\nAnswer: 38274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -3*q + 10. Let n be w(3). Let b be 3 - n*3\/(-3). Let m be ((-2)\/b)\/(6\/(-36)). Let l(c) = -4*c. Let d(k) = k. Give m*d(u) + l(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) be the third derivative of 1\/108*i**4 + 0 + 0*i + 10*i**2 + 1\/945*i**7 - 1\/540*i**6 - 1\/270*i**5 + 0*i**3. Solve a(s) = 0 for s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-8)\/(-4))\/(4030\/234 - 17).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23*w = 5*w - 18. Which is greater: 3 or w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 47\/3 in 5\/4, -6.2, -20?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 72\/5 of a millennium in decades?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -3*i - 7*i**2 - 4*i**3 - 5 + 8*i**3 - 5*i**3 - 6*i. Let g be s(-6). Let q(w) = w**2 + 11*w + 19. Is q(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1785 - 859. Let v = y + -328. List the prime factors of v.\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find l, given that 17\/2 + 9*l + 1\/2*l**2 = 0.\nAnswer: -17, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -493550 or -493551?\nAnswer: -493551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.21, 2\/11, 2\/43?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -6\/25, -2, -1\/8, -5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from eynyeyonyd. What is prob of picking 1 o and 1 d?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*i + 2*a + 2 = 2*i, 5*i + 3*a = 37. Let o be 26\/10*(i - 0). Suppose 4*f = -3*p - f - o, p + f + 3 = 0. Sort p, -2, -4\/3 in descending order.\nAnswer: p, -4\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/50 of a millisecond in microseconds?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2085250084.\nAnswer: 2, 43, 127, 95461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) be the second derivative of a**4\/8 - 11*a**2 - 13*a. Let f(d) be the first derivative of b(d). Let i(n) = -3*n. Give i(f(r)).\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -o**3 + 14*o**2 - 25*o + 14. Let g be z(12). Solve 0*c + 2*c = 3*p + 1, -6 = -g*p + 3*c for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vii when three letters picked without replacement from ivivvvevevvvievi?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 5 + 20a?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q - 8*q + 15 = 0. Suppose 2*n = q*v + 36 - 104, -v + 31 = n. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*t**2\/4 + 9770493*t\/2 + 31820844487683\/4.\nAnswer: 3*(t + 3256831)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**(1\/4))**(-8\/3))**42 assuming f is positive.\nAnswer: f**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(19) + 2 + sqrt(2299) - sqrt(76)\/(sqrt(4)*-3).\nAnswer: 2 + 37*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 144 (base 5) in base 8?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 13*a**2 - 728 - 2*a + 751 + 3*a - 2*a in the form t*a**2 + c + x*a and give t.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6*c + 0*c + 3*c)*(-1 + 1 + 2*c) + 2*c**2 - 3*c**2 - 8*c**2 + (-3*c + 3*c - c**2)*(1 + 3 - 5).\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 4490186?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 1 + 34133?\nAnswer: 34134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -12.29 * -9\nAnswer: 110.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 7, c: 3, a: 4, w: 1, l: 1}. What is prob of sequence zaa?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d + 2*z - z - 24861 = 0, -2*d - 2*z + 12438 = 0. List the prime factors of d.\nAnswer: 2, 13, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -79\/662696 and -2\/1573903?\nAnswer: 12591224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = 4*q - 7. Suppose q*u = -5*b, 4*b + b = -u - 5. Let i(s) = s**2 - 7*s + 4. Give i(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2725102 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 334482 is divided by 9799.\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round -0.04259276 to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate -17666357*-20.\nAnswer: 353327140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 103\/10 and 89\/1482.\nAnswer: 7410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) be the second derivative of -o**7\/189 + 14*o**6\/45 + 7*o**5\/90 - 50*o**4\/9 + 28*o**3\/3 - 393*o - 3. Solve j(n) = 0.\nAnswer: -3, 0, 1, 2, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -96207 (base 13) in base 9?\nAnswer: -452140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 610459 is divided by 262?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 150812\/(-2038) - (-90 + -3).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 224632 and 877632?\nAnswer: 5224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -14 = 49*g - 47*g + 2*q, -5*q - 27 = g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -4 + 6*p + 3 - 2 - 5*p**2 - 3*p. Let j(s) = 9 - 10 + 41*s - s**2 - 40*s. Determine 2*j(h) - t(h).\nAnswer: 3*h**2 - h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -2 - 3*j + 2 + 0. Let w(m) be the third derivative of -m**5\/30 - 8*m**2. Give p(w(c)).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -1000*f + 1003*f + 37 = -4*x, x + 5*f = 12 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -24, -42, -48, -36, 0, 66, 168, 312?\n\"Answer: z**3 - 25*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 28 and 434.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 27473545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u - 3*w + 11 = -w, 0 = -3*u - 5*w + 34. Suppose -3*x + x = -10. What is the remainder when u is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1261502 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -2\/60295 (b) -0.3 (c) 0.1 (d) 14\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*b + 636 - 132. Suppose -8*o + 11*o = b. Let n(s) = s**3 - 4*s**2 + 3*s + 3. Let f be n(3). Calculate the highest common factor of o and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -996*b**2*z**3 + 92*b**2*z**2 - b**2*z wrt z.\nAnswer: -5976*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (120\/21 - 6)*(-98)\/(-28)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -r + z - 34 = -33, -5*z - 6 = -3*z for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = 123*s. Let f be l(-1). What are the prime factors of 5\/((-20)\/f) - (-6)\/24?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 4, -0.3, -144\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1*15*(-132)\/1540*-14.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-2*(-4)\/8)\/1. Let w(y) = 3*y - 1. Let i be w(-2). Let d be c - i\/(7\/10). What is the highest common divisor of 121 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 6 - ((-8 + 4 - 2) + 48 + -70)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2947549179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 700727.92 to the nearest 100.\nAnswer: 700700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -13 + (12 - 6) + 0 + 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = -92 - -94. Find the second derivative of -30*l**4 + 3*l - 13*l - 3*l**4 + o*l wrt l.\nAnswer: -396*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (60 - (19 + -10))*(-2)\/6. What is the third smallest value in s, 1\/2, 0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*w - 10 + 6 = -2*g, w = 5*g - 22 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round -6340000 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 7 - 10)*(2*l + 1 - 12 + 6).\nAnswer: -6*l + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -406*k**2 - 20315*k - 40. Calculate p(-50).\nAnswer: 710","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s + 3 = -5. Let c(p) = p**2 - 9*p + 16. Let w be c(5). Let h be -1*(-3 + s + w). Solve -9 = h*r + 3 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pts when three letters picked without replacement from tpppqqppisziitpiqsis?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*h + 3*h - 2*r + 6404 = 0, 3*r = 12. Is 6 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 (base 8) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = -2*n**2 + 20*n + 9. Determine w(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -u**2 - 5*u + 8. What is the units digit of x(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1300 = 202*c - 1009 - 5947 for c.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1161 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -56823 take away -0.279?\nAnswer: -56822.721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 23096 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*w + 28*w + 85 = 0. What is the biggest value in w, -0.3, 0.3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 480 and 21088?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 542, 539, 554, 599, 686, 827, 1034, 1319?\n\"Answer: 2*o**3 - 3*o**2 - 8*o + 551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = 10 + -8. Let a be (-4)\/(-16) - j\/8. Which is smaller: a or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ztkumdu. What is prob of picking 1 m and 1 z?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -364, -749, -1130, -1507, -1880, -2249?\n\"Answer: 2*i**2 - 391*i + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.13 in 0.5, -0.1, 0, 0.157, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -31*d - 282 = -34*d. Calculate the greatest common factor of d and 235.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 105*y + 43 = 109*y + 11 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 22104689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 1 less than or equal to 362\/10599?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -143*m + 3*v + 153 = -139*m, -26*m + 1016 = 2*v for m.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} {"text":"Question: Express 71 + 13 - 19*a**2 - 13 - 30 - 2*a**3 as f + b*a**3 + q*a**2 + y*a and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:35 PM and 8:02 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b = -5.06 - -4.1. Let t = b - 0.04. What is the nearest to -1\/4 in 2, -1\/10, t?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 1, o: 2, k: 4, e: 1, i: 2, b: 2}. What is prob of picking 1 j and 1 o?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose v - 5*v = -1108. Let n(f) = -3*f + 26. Let t be n(8). Suppose -t*q + v = 43. Is 25 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (0 - -3) + (4 + -13 - -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out -164 + -782.\nAnswer: -946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10 + 1902378*m + 5*m**2 - 1902378*m - 4*m**2.\nAnswer: m**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 234 divide 37908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1 or 19\/960?\nAnswer: 19\/960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 169*z - 177*z = 96 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/5 in -4, 2\/5, -5\/9, -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = -9*b. Let k be (-6)\/4*28\/6. Let v(x) = 5*x. Let g(c) = k*v(c) - 4*f(c). Let h(a) = a + 2. Calculate -g(i) - h(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put -6, -3, -262, 40 in ascending order.\nAnswer: -262, -6, -3, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/80 of a second in microseconds?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 91\/3336 and -89\/168.\nAnswer: 23352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 35 + -48 + (10 - -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 17*p - 114804 + 11002. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 101*n + 85*n**3 - 101*n.\nAnswer: 85*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = -3*b**2. Let c(l) = l + 1. Let o(y) = y**2 + 2*y - 31. Let n(m) = 2*c(m) - o(m). Let g(x) be the first derivative of n(x). Give u(g(k)).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -4\/3 (b) 2\/9 (c) 1\/7 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out -40 - -1.11.\nAnswer: -38.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 2187 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -26525 divided by -5\nAnswer: 5305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 106492 is divided by 20556.\nAnswer: 3712","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express ((3 - 1 - 1)*(3*h - 4*h + 2*h) - 167 - 41*h + 167 + h - h - 2*h)*(-1 - 3*h + 1 + (0 + 2*h + 0)*(-3 + 4 + 1)) in the form r*h**2 + i*h + d and give r.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4)\/2*((-385)\/(-308))\/(50\/1340).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 n and 2 z when four letters picked without replacement from bwnzzwwwbwnbb?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -7 + -5?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + 0 + (sqrt(147) - -4*sqrt(147)) + -3)**2 - -1*sqrt(147)*1*5*-2.\nAnswer: -350*sqrt(3) + 3691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/17, 37003, -0.3, 1\/3 in descending order.\nAnswer: 37003, 1\/3, -2\/17, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 15517373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-2)\/(-1 - (-1 - 1)). Let d be -1*(0 + 2 + 4 + -5). Which is bigger: v or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 44 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*l - 20 = -4*b + 17*l, -5*b = l - 19. Suppose b*w - 516 = -3*z, -z + w + w = -162. Calculate the highest common divisor of z and 112.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = 32*w - 1. Let u = -1 + 5. Suppose -2*o + u*o - 2 = 0. Is 12 a factor of c(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.4*107.15\nAnswer: 42.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x = 124 + -123. Let v be ((-20)\/1)\/((-6)\/(-9)). Let r = v - -61\/2. Which is the third smallest value? (a) r (b) x (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 430*o - 423*o - 21 = 0. Solve -o*v = -5*l - 0*l - 7, -8 = 4*l - 3*v for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = -m**3 + 7*m**2 - 9*m + 5. Determine s(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 162*i = 1766522 + 2670982. Is i a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((2 - -6)\/(-2))\/((-304)\/(-1292)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -9 divided by -1416?\nAnswer: 3\/472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*x - 5*o + 19980, 3*x - 10*o - 11980 = -15*o. Is 40 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -6*g - 4. Suppose -5*f + 4*r = 59, -2*f - 25 + 4 = r. Let y = -6 - f. Calculate the remainder when i(-3) is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*x - 5*x + 84*x + 255 = 0. Let l be ((-6)\/4)\/(-3) + -1. Which is the nearest to l? (a) -4\/3 (b) x (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -621 by 310.\nAnswer: -621\/310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -784514 divided by 187?\nAnswer: -784514\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2849*v**3 - 37*v - 431?\nAnswer: 17094*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-103094 + 741*l + 103094)*(-2 + 5 + 1) to the form c*l + n and give c.\nAnswer: 2964","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w = 8.4 + -8. Let j = -1 - 0.6. Let v = w - j. Which is smaller: -0.1 or v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 54658.\nAnswer: 2, 27329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 4, s: 2, l: 3, t: 1, p: 1, r: 4}. Give prob of sequence ptsr.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 1, j: 1, u: 2, x: 1, l: 2, q: 1}. What is prob of picking 1 x and 1 u?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l = 141\/26 - 18623\/3458. Calculate the common denominator of l and 88\/357.\nAnswer: 6783","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -468, -3658, -12320, -29190, -57004, -98498, -156408, -233470?\nAnswer: -332420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = 8*d - 2. Let s = -116082 - -116078. Let l be 29\/3 - (-2)\/(-3). Let f(k) = 17*k - 4. Determine l*t(a) + s*f(a).\nAnswer: 4*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.32 + 0.3. Let j = 0.32 + n. Let v = 1234 - 1233.6. Sort j, -0.1, v.\nAnswer: -0.1, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mddlldlldddmld. Give prob of sequence dm.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 7 - (9 - -1) - -13 - (-2 - -2)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 6 + -8 + -4 + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 71 or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k = -60 + 31. Let f = k - -12. Let z = f + 16.99999935. Round z to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 739720856?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(5 + (-5 + (sqrt(475) - (-1 + sqrt(475))) - (sqrt(475) + 1 + sqrt(475) + 3) - (5*1*sqrt(475) + -1))))**2.\nAnswer: 140*sqrt(19) + 23279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p = 5639 - 5531. Let x(w) = w**2 - w - 17. What is the remainder when p is divided by x(9)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5 - 4 = 9*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -51321, -102643, -153963, -205281, -256597, -307911?\n\"Answer: q**2 - 51325*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 63 divide 21171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 38*u**3 + 67*u**3 - 317*u**3 - 150*u**3.\nAnswer: -362*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: (-3 - 20 - -18) + 2 + 9\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Are 698\/17 and 42 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = 19*w**3 + 1. Let j be i(1). Suppose -3*k - k + j = 0. Suppose -4*o = -2*f - 3 + 21, 0 = 3*f - k*o - 22. Which is smaller: f or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) 4 (b) 2\/13 (c) 38 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*x**4 + 600*x**3 + 18570*x**2 + 33040*x - 52215.\nAnswer: 5*(x - 1)*(x + 3)*(x + 59)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is (-1494)\/(-5 + 2) + 1 + 0 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 16, 49, 132, 289, 544, 921, 1444?\n\"Answer: 4*u**3 + u**2 + 2*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 49\/392*(-2 + 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 3131341463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve x + 206 = 4*u, -127*x + 62*x - 157 = -63*x - 3*u for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 0.3 * -6.4944\nAnswer: -1.94832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 27\/5 of a milligram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = -8 + 15. Let k(d) = d**2 - 6*d - 5. Let s be k(b). Let p be (s + 3 + -4)*8. Solve -2*o + p = 0, -4*u + o + o + 4 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 60 divided by -2?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -22, -58, -94, -130?\nAnswer: -166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of n**4 - 476*n**2 + 13*n + 12 wrt n?\nAnswer: 12*n**2 - 952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d be 64\/24 + 2\/6. Suppose -5*z + 88 = 2*s - 0, -56 = -d*z + 2*s. Calculate the least common multiple of z and 22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = 4*p**2 - 5*p + 4. Let s be i(1). Solve -6 = -b + s*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 + -16 - (706 - 725)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = 82\/3 + -1400\/51. Suppose k - 16 = 4*s, 5*k + 5*s + 24 = 4. Let y = -10 + 5. Which is the third smallest value? (a) k (b) y (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 126 - -369. What is the highest common divisor of 15 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q = -4*x - 6*q + 12, 5*x - 3*q = -9. Suppose -4*n - 5*w + 18 = x, -5*n = 4*w - 13 - 5. Solve -n*g = -1 - 7 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -1.29057 + -0.3.\nAnswer: -1.59057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-n - 4 + 4)*(-3 - 3 + 4) + 6*n - 2*n - n)*(4 + 7 - 4)*(-39 + 435 + 32).\nAnswer: 14980*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -778610 to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 0.368983 times -4\nAnswer: -1.475932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6 - -5 - -3) + 7 + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 3101804736 a multiple of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Add 58648491 and 3978494.\nAnswer: 62626985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -181*w = -186*w + j + 19, -4*j + 20 = 4*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 57 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + -4*(2 + 1*sqrt(1088)) + 0 + -2.\nAnswer: -32*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 13649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0 - -2. Let p = r - 1.9. Let u = p - 0.4. What is u rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -393000000 to the nearest 1000000.\nAnswer: -393000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in -15052, -30079, -45108, -60139, -75172, -90207?\nAnswer: -105244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Divide 45971 by 110.\nAnswer: 45971\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (880\/(-550) - (-138)\/80) + 136\/(-64)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 35757 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1669956 and 8242.\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.1 (b) 2\/3 (c) 2 (d) -1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = g**3 - 7*g**2 - 7. Let v(h) = 5*h - 7. Let z be v(0). Let i(t) = 2*t**2 + 2. What is z*i(n) - 2*d(n)?\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = 35*o**3 + o. Let u be ((-12)\/6 - -6) + -3. Calculate z(u).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -d**3 + 4*d**2 - 3*d + 4. Let w be (4\/(-3))\/((-8)\/(-84)). Let t = -11 - w. Give a(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -113515, -118211, -122907, -127603, -132299, -136995?\nAnswer: -141691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -78*(-19)\/257868*3?\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = 3*r**2 + 2*r - 3. Let s(u) be the third derivative of -1\/20*u**5 - 1\/12*u**4 + 0*u + 0 + 4*u**2 + 2\/3*u**3. Let p(h) = 3*c(h) + 2*s(h). Factor p(m).\nAnswer: (m + 1)*(3*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 2048 divide 33333136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*a = -0 + 48. Calculate the least common multiple of 51 and a.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (8*k**3 - 24*k**3 - 10*k**3)*(-47 + 47 + 14*k)*(-3 - 4 - 4) to i*k**4 + b*k**3 + q*k**2 + w + v*k and give i.\nAnswer: 4004","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 4 + 5)*(4*x + 0*x - 3*x) - 7115*x + 11028 - 5510 - 5519.\nAnswer: -7116*x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort 5\/3, 3, 4\/7 in decreasing order.\nAnswer: 3, 5\/3, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand -6 - t**3 + 6 + (-2*t + 5*t - 2*t)*(-t**2 + 5*t**2 - 2*t**2) - 6*t**3 + 9*t**3 + 9*t**3.\nAnswer: 13*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-1)\/(-7) + (-57273996)\/3696. Let h = -15498 - x. Find the common denominator of -13\/6 and h.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000188778 rounded to seven dps?\nAnswer: -0.0000189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.104897 and -0.5?\nAnswer: 0.0524485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(-2 + sqrt(720) + sqrt(720) + -4 + (sqrt(720)*1)**2 + (sqrt(720)*3 + 0)**2 + -3).\nAnswer: -21573 - 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 13\/11 + -50\/33. Let h = -2 - -5. Let i be 2 - (-3 - (-252)\/52). What is the nearest to s in h, 2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) be the first derivative of 0*y**5 + 16\/7*y**7 + 97 + 0*y**4 - 1\/6*y**6 + 0*y**2 - 20\/3*y**3 + 0*y. What is the third derivative of l(f) wrt f?\nAnswer: 1920*f**3 - 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -11 (base 7) to base 12.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 5379, 5869, 6359, 6849, 7339?\nAnswer: 7829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 4119534539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*sqrt(88)*2)\/sqrt(8).\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.7 + 5.7. Let u = -0.3 - -1.3. Let q = u - 1.1. Which is the nearest to q? (a) -4 (b) -2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:26 PM and 3:38 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (m**3 + 3*m**3 - 5*m**3)*(3*m - 3*m - m) + (-108*m**2 - 25 + 25)*(-2*m**2 + 0*m**2 + 3*m**2)*(2 + 0 - 3).\nAnswer: 109*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Divide 24925 by 3.\nAnswer: 24925\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Multiply -3.64 and 0.13.\nAnswer: -0.4732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.81 + 0.8. Let x = -0.01 - n. Which is the third biggest value? (a) x (b) -0.1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = m**3 - 6*m**2 - 7*m + 2. Let o be g(7). Suppose 5*a - o*a = 12. Solve a*b - 7 - 13 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = 17*j**2 - 11*j + 11. Let d = -12 + 6. Let x(m) be the third derivative of -3*m**5\/20 + m**4\/4 - m**3 - 10*m**2 - 5. Determine d*w(v) - 11*x(v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -11 + 6 + 3 + 82*t**3 - 83*t**3 - 2*t**2 + 0*t**2 + 19*t**4 to the form p*t**3 + d*t + q*t**4 + u + w*t**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1001100101011100 - -10001100?\nAnswer: -1001100011010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a be (1\/(-14))\/(((-2112)\/385)\/16). Let p(w) be the second derivative of -w**2 + 7\/40*w**5 - 4\/3*w**3 + 0 - a*w**4 + 13*w. Find g such that p(g) = 0.\nAnswer: -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -1433*a**2*o*y - 4*a**2*y + 4*a**2 + 380*a*o + 405*a*y - 2*a - 24*o + 6 wrt y.\nAnswer: -1433*a**2*o - 4*a**2 + 405*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h - 1 - 11 = 0. Let m = -5 - h. Let t = 4 + m. What is the greatest common divisor of 1 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 2.13 and 100.\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 57 and 361?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = -35*u**3 + 7*u**2 + 2*u. Suppose 0 = -11*n + 72 - 28. Let z(p) = -17*p**3 + 4*p**2 + p. Calculate n*v(k) - 7*z(k).\nAnswer: -21*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round -9147.895 to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 9675001093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 11, 9, 2, -679 in descending order.\nAnswer: 11, 9, 2, -679","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(1694) - sqrt(1694))\/sqrt(7).\nAnswer: -33*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = 10*f - 6 + f**3 - 162*f**2 + 65*f**2 + 88*f**2. Determine j(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g = -9*g + 990. Calculate the highest common divisor of g and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 0, -1283, 1, -4, -5 in ascending order.\nAnswer: -1283, -5, -4, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 87 - 87 + 8*k - 2*k + 2*k - 2*k + (2*k - 2*k - k)*(-1 - 4 + 4) - 1 + 2*k + 1 + 2*k + 2*k + k to the form l*k + j and give l.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -555 - -14?\nAnswer: -541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = 1797*n + 274945. Give u(-153).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10833?\nAnswer: 3, 23, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is -86138 > -86139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(-3))**(8\/13)*((n\/(n**1*n))\/n*n)\/(n\/((n\/(n**(-8)*n))\/n)) assuming n is positive.\nAnswer: n**(41\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is (-13 - (-15 - -6)) + (-10 - -20) + 32?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 12 times -17.7?\nAnswer: -212.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -4*x - x. Solve 0 = x*i - 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5052*u = -2361*u - 2485*u + 5968 + 418 for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = 96*q + 6127. Calculate the least common multiple of p(-5) and 6.\nAnswer: 33882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 809416 and 460?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f + 4 = -u - 6, -5*f + 10 = u. Let j be 5\/f + 3\/(-6). Suppose 0 = -2*n + d + j, -d + 5*d = 0. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 5822, 23167, 52082, 92573, 144646, 208307, 283562, 370417?\nAnswer: 468878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -109 + 10*p**2 + 101 + 84*p**3 - 11*p**2.\nAnswer: 84*p**3 - p**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -j**3 - 4*j**2 + 10*j + 1. Let g be n(2). Let h = g + 801. Calculate the greatest common factor of 42 and h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -4.99946 + 5. What is g rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o + 335 = f, -3*f = -0*o + 5*o - 1015. Is f a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -3*0.07427\nAnswer: -0.22281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w + 4*j + 76 = 0, -17*j = 5*w - 16*j - 96. Suppose -7*a + 2*a + 30 = 0. Suppose o + a - 16 = 0. Calculate the least common multiple of o and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -132311 (base 4) to base 15\nAnswer: -8b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 131.2, 30.9, 5\/6, 0.3 in increasing order.\nAnswer: 0.3, 5\/6, 30.9, 131.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x = -3*o + 7, 2*x + 6*o = 2*o - 4. Solve -f + 2*c = -x, 3*f = c - 0*c - 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o + 4 = -4*l, -2*l - o = -0*o - 3. Let n(u) = -u**2 - u - 1. Let r be n(l). Let d = -10 - r. What is d rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:31 PM and 11:12 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.5174 - -0.7174. What is the closest to c in -1\/3, 0.1, -5, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 69010 and 309.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d\/((d\/(d**(1\/19)*d))\/d))**(-2\/27) assuming d is positive.\nAnswer: d**(-26\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r be 426\/(-1 + (-15)\/(-6)). Suppose 4*q = -2*a + r, 3*q - 279 = a - 3*a. What is the common denominator of (-386)\/a - (-8)\/24 and -89\/20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2622 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x be 39\/78*(-1)\/(-1). Let p(q) = -q - 3. Let m be -1 + (0\/2 - 2). Let o be p(m). Which is the closest to o? (a) 3 (b) x (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 33736858.\nAnswer: 2, 16868429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -251 - -13?\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {b: 4, e: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (87\/(-261))\/(2\/3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-1 - 1)*(-25)\/10. Solve 5*p - 5*f = -0*p - o, 0 = 5*p - 3*f + 3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -940 - -1599. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) be the second derivative of 0*y**4 + y + 0*y**2 + 0 + 29\/6*y**3 - 13\/20*y**5. What is the second derivative of n(c) wrt c?\nAnswer: -78*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -32.9 - -33. Sort 0.02, 2\/3, u in decreasing order.\nAnswer: 2\/3, u, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 28 + 17 + -32 - -11 - 91?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.989675l in millilitres?\nAnswer: 989.675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*d + 19*d - 101137 = 5*x, -2*x - 57790 = -4*d. List the prime factors of d.\nAnswer: 2, 31, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3 + (-408)\/(-72))\/(3*(-3)\/(-54))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.2 - 2333657.\nAnswer: -2333656.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 31310 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 230990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: ((-2)\/(-36)*18)\/(2\/16)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0, -0.5, 4\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 522 and 11805117.\nAnswer: 70830702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -h - 2*d, h - 3*h - 8 = -5*d. Suppose 0 = -2*f - h + 39. What are the prime factors of f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 8 - 85177?\nAnswer: -8516b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put -15, 4\/11, -4, -210 in decreasing order.\nAnswer: 4\/11, -4, -15, -210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -122121 - -1?\nAnswer: -122120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose v = -15 + 20. Suppose 1 = -k, -v*d - 5*k + k = -341. What is the remainder when d is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*r = -5*o + 12*r - 15*r + 23, 8 = -0*r - 4*r for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l = -51.58 - 0.42. Let n = 52.2 + l. Which is the closest to 10? (a) n (b) -2\/15 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-6 - -3 - -55) + 6\/(-2). Suppose -2*d = 3*t - 56, -2*t + r = t - 5*d. What is the greatest common factor of t and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 67662 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of (-40)\/28 + 7208\/28 and 320.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 805\/46 - 18\/1 - (-81)\/(-2)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p = -5*c + 747, 39*c + 1469 = 4*p + 44*c. Which is smaller: 351 or p?\nAnswer: 351","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 438893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l - 140 = -4*w, -l - 117 - 58 = -5*w. Let x be w\/(-2)*(-40)\/(-50). What is the remainder when (7\/x)\/(3\/(-258)) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l\/(l*l\/(l*l**16*l)*l*l))\/l)**(-28)\/(((l*l**(-31))\/l)\/(l**14*l*l)) assuming l is positive.\nAnswer: l**(-345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is (((-3825)\/60)\/17)\/(-1*1\/4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = 198*p - 1. Let r be d(2). Let o = r + -150. Does 9 divide (-10)\/45 - o\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2.5 + 1.5. Which is the nearest to -1\/3? (a) f (b) 3\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 6459, 6295, 5847, 4971, 3523, 1359?\n\"Answer: -24*t**3 + 2*t**2 - 2*t + 6483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 2\/11 or -2384\/7835?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 10*q + 110 - 430. Is 14 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find p such that -135*p**5 + 4905*p**4 + 31740*p**3 + 16720*p**2 - 14080*p - 8400 = 0.\nAnswer: -5, -2\/3, 2\/3, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 37 in -2\/13, 1, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) be the second derivative of p**4\/6 + 9*p. Let n(f) = -3*f**2. What is g(n(m))?\nAnswer: 18*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c = -23 + 43. Let v = c - 21. Sort 3, v, 2, 4 in decreasing order.\nAnswer: 4, 3, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = -40*h**3 + 7*h**2 - 10*h - 8. Give u(2).\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -p**3 + 16*p**2 - 26*p - 28. Let g be y(14). Solve -3*l = 3*s + 6, 5*s - 3 - 2 = g for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-38)\/(-9) - 4\/18. Suppose 0 = 5*a + b*h + 62, -1 = a + 2*h + 9. Let r be -14*(32\/a - -2). Solve 9*v = r*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 25047 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: Calculate the greatest common divisor of 249268 and 137764.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 786*v + 726*v - 1513*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find f such that -4*f**3 + 36964*f**2 - 74235352*f - 74272320 = 0.\nAnswer: -1, 2952, 6290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(72) + 3)**2 + sqrt(72).\nAnswer: 42*sqrt(2) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is -1 bigger than 2\/3611952039?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b be -7 + (-64)\/(-9 - -5). Let z(a) = 78*a**2 - 13*a - 4. Is z(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 1, j: 8, g: 1, p: 6, f: 3}. What is prob of picking 1 g and 1 p?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose m + 734 = 2*m. Let z = m + -7399\/10. Find the common denominator of z and 0\/1 - 10\/4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1d (base 14) in base 15?\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 29a (base 14) to base 16.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let 3015*n + 70*n**2 - 331*n**2 - 27 - 27*n**3 - 3180*n = 0. What is n?\nAnswer: -9, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2.415639l to millilitres.\nAnswer: 2415.639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = 21 - 19. Suppose 2*g + 3*h - 13 = 1, 2*g - 5*h + r = 0. Let t(m) = 44*m**2 - 1. Is t(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 213 + 114400?\nAnswer: 120113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k be 8\/(-12) + 16\/42. Let w = 91 - 83. Put k, w, -3 in descending order.\nAnswer: w, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:30 AM and 4:40 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -450616 divided by 67?\nAnswer: -450616\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -3*b**2 + 227*b - 785. Calculate z(72).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/(-8)*1*-4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lullu. What is prob of picking 2 l?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = i**2 + 4*i + 2. Let f = -9 - -5. Let z be p(f). Calculate the highest common divisor of 2 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -1473521 (base 8) to base 6\nAnswer: -13025505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 3809299957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort -1.64, 1, -5, -332\/7 in decreasing order.\nAnswer: 1, -1.64, -5, -332\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 110 = 10*z + 140 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = 8*s - 13. Let v be q(6). Suppose -r - 4*r = v. Let a(x) = -x**3 - 6*x**2 + 6*x - 3. Let o be a(r). Solve -2*l = -o*l + 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -y**2 + 14*y - 49. Let x be i(7). Suppose -5*k - 50 = 5*k. Which is bigger: x or k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = -9*c**2 - 12*c - 13. Let l(d) = 4*d**2 + 6*d + 6. Let z(s) = -5*l(s) - 2*n(s). Factor z(w).\nAnswer: -2*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (20\/(-4))\/20 - 3\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) -48 (b) 0.4 (c) -0.03 (d) 1071 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 155 divide 70104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3 - 2 + 2)*(-2 - 2 + 6)*(-3*v + 5*v - v)*(-14*v + 15*v + v**3 - 3*v**3) to the form c*v**3 + y*v + p*v**4 + x + b*v**2 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 147380 and -323?\nAnswer: -47603740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (7 + 1 - 7)*(-37*i + 4*i - 1 + 0).\nAnswer: -33*i - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-4)\/(-8)*-2 + 4. Suppose -5*g - i*g = -8. Is (g\/3)\/((-13)\/(-1443)) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -11 and -7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y = 256678\/3 - 85558. Determine x, given that 4\/9 - y*x + 4\/3*x**2 - 4\/9*x**3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7.4 + -9161941826?\nAnswer: -9161941833.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 8701306642 to the power of 1\/6, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -28*p**2*s**3 + p**2*s**2 - 29*p**2*s - p**2 + 4*p*s - 1585*p - 4954*s**3 wrt s.\nAnswer: -168*p**2*s + 2*p**2 - 29724*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 13, 0, 73, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 2089*v + 40827 wrt v?\nAnswer: 2089","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 177550.\nAnswer: 2, 5, 53, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7447929871.\nAnswer: 19, 47, 61, 136727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 24715381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 187*t + 224*t + 246*t + 252*t - 1011*t + 241*t.\nAnswer: 139*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 363468?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 5813198011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert 899.8126ml to litres.\nAnswer: 0.8998126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*a + 12 = 4*s, s - 18 = -856*a + 860*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w = -662.588 + 498.6395. Let l = w + -0.0515. Which is greater: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c - 2*n - 50 = 0, -4*c + 3*n = 8*n - 55. Suppose 31 + 869 = 9*b. What is the greatest common divisor of c and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 119966713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i = 555737\/12 - 139264\/3. Let w(x) = -9*x - 35. Let l be w(8). Let p = i - l. What is the common denominator of p and 13\/10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.385 + -1.385. Suppose 18 = 4*w - 2*o, 4*w + 2*o - 3 - 19 = 0. Which is the closest to r? (a) -2\/7 (b) 3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -65.994 + 66. Let l = n - -0.0004. What is l rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 139 - 137. Let y(d) = 15 - d - 15 - 7 + 4*d**h. Let c(x) = x**2 - 1. Suppose 0 = 5*v - 2*g + 1, 9 = -5*v - g + 2. Determine v*y(l) + 6*c(l).\nAnswer: 2*l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ow when two letters picked without replacement from {w: 5, o: 2, k: 9}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 27973001?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-1)\/(-2) + (-22)\/4. Let k be n\/(-6) + (-4)\/12. Let y = 35 + -34. What is the closest to y in 3\/8, k, -2\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 157*f - 16032319 = 8510392. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = n**3 + 4*n**2 - 7*n + 2. Let i(m) = -2*m**3 - 4*m**2 + 8*m - 3. Suppose 33*q + 35 + 31 = 0. Calculate q*i(j) - 3*h(j).\nAnswer: j**3 - 4*j**2 + 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = 353452*t**2. Let s(i) = 2*i. Determine s(y(v)).\nAnswer: 706904*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i = -10 + 6. Let l(a) = 7*a + 1. Let n(p) be the first derivative of 11*p**2 + 2*p - 33. Let m(r) = -16*l(r) + 5*n(r). Give m(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 22*v**6 - 24*v**5 + 6*v**3 - 285*v**2 + 33*v?\nAnswer: 2640*v**3 - 1440*v**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*x + 2*x + x - x + 0*x + 0*x + (-2 - x + 2)*(2 - 3 + 3) + 5*x - 3*x - x + (5 - 1 - 2)*(-985*x - 562*x + 442*x).\nAnswer: -2214*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express 2*m + 0 + 0 + (2 + 1 - 7 + (-2 + 3 + 1 - 2 + 1 + 3 + (1 - 4 + 5)*(0 - 2 + 1))*(-16 - 14 + 3))*(-4*m + 0*m + 2*m) in the form n + f*m and give f.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve r + 3988 = -t - 3989 + 7974, 0 = -4*r + 2*t + 6 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -16066414*p**2 - 13032729*p?\nAnswer: -32132828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k\/k**(-4\/5))\/(k**(3\/8)*k)*(k*k**(-3\/2)\/k)\/((k**(-8\/3)*k)\/k)*(k**(-10\/9)\/k*k\/(k*k**(-6)))**(22\/3) assuming k is positive.\nAnswer: k**(32519\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2\/(2\/7*(-70)\/(-40)). What is the units digit of p\/22 + 1008\/22?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s + 15 = 3*k, -3*k = -0*k. Suppose -s*h = -3 - 12. Suppose r - 4 + 0 = 0. Solve -r*a + 17 = -h for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t + 9103 = 4*o, t = 3*t - 2*o - 3652. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 16*-359.71.\nAnswer: -5755.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w = 862 - 861.558. Sort -2\/13, -3\/2, w.\nAnswer: -3\/2, -2\/13, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3.25 take away 4862363.903?\nAnswer: -4862360.653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rkbrkbzbrbrkrkbkkb. Give prob of picking 2 b, 1 k, and 1 r.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 808119 times 0.3\nAnswer: 242435.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38*t = -40*t + 4. Suppose -w = -t*o + 4*o - 14, w - 2*o - 18 = 0. Solve -w = 4*x + 5*r + 5, x = -r - 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 104*s = 102*s + 36. Let a be (-27)\/s - ((-38)\/4 + -1). Solve 0*x + 3*x + a = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.9+-0.79\nAnswer: -1.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 44773380?\nAnswer: 2, 3, 5, 251, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5 - -12) + -2 + 3 + 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(2\/13)\/c**(-12))**(-50)*((c**(-6)\/c)\/(c*c**9))\/(c**(-7)\/((c*c\/c**(-4\/9))\/c)) assuming c is positive.\nAnswer: c**(-72101\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00410873 rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*f**2 + 16*f - 12.\nAnswer: -4*(f - 3)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2331665 is divided by 1697.\nAnswer: 1684","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 1513 (base 13) in base 5?\nAnswer: 44213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -18 + 16 - (6 - 0) - -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = 6*t**2. Let n(b) be the first derivative of b**4\/12 - 3*b - 2. Let l(u) be the first derivative of n(u). Calculate l(k(s)).\nAnswer: 36*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Total of 7352 and -39.\nAnswer: 7313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-48 + 42 + 31)*(16*a**2 - 82*a + 82*a).\nAnswer: 400*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (66\/15)\/(1\/35)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1306 + 1310. Sort -1\/7, 1, o, 2\/21 in descending order.\nAnswer: o, 1, 2\/21, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -35*y + 37*y + 44 = 4*l, 4*y = 3*l - 43 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 2\/9 (b) -173 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1519194 and 20?\nAnswer: 15191940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 - 1380790.\nAnswer: -1380790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = b**3 + b + 4. Let g be i(0). Suppose -4*o = -2*o - g. Sort 4, 1, o.\nAnswer: 1, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 806575 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zozztogtzztzot. What is prob of sequence ot?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9455 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l + 3*t = -94, -5*t = -5*l - 4*t + 112. Let d be 2\/(-8) - (-58)\/8. Suppose -2*b + 23 = d. Calculate the remainder when l is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1166 - -1718. Suppose -3*q + 11*q - x = 0. Let w = 11 + q. Is w a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4\/22 + 1408\/242.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 70129378 a multiple of 212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -16, 83, -2, 11 in descending order.\nAnswer: 83, 11, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = y**3 + 24*y**2 + 2*y + 49. Let z be p(-24). Let n be -2 - (z - (-3 - -2)). What is the second smallest value in 2, 4\/19, n?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2705341057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -7 - ((6 - -2) + -8) - 0\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = 4 - 9. Let j = 450.938 - 1.038. Let w = j + -450. Which is the third smallest value? (a) s (b) w (c) -4\/5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 127 (base 8) to base 4\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1066977 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -5*14\/490 - (-1 + (-1718)\/168) and 69\/2512?\nAnswer: 7536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 84305602*v**3*w + 3*v**2 + 19231152*v*w wrt v.\nAnswer: 505833612*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = 13*q**2 - 8*q + 300. Let y(s) = 23*s**2 - 14*s + 601. What is -7*f(u) + 4*y(u)?\nAnswer: u**2 + 304","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: (8 - 10) + 14 - 5 - 22\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -6 + (-4 + 4 - -6 - 6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t = 5*o - 439, 0 = -t + 2*o + 53 + 73. Suppose -5*q + 4*y + 312 = 0, -5*q + y + t = -187. What are the prime factors of q?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1088537157 to the power of 1\/3, to the nearest integer?\nAnswer: 1029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 396 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -1061 - -105a?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r = 3*y + 164, -258 = 5*y + r - 0*r. Let x = 29 + y. Let z be (-4 - -2) + (-3 - x). What is z rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = -2*m. Let t(j) = -126*j**2 - 1. Calculate t(h(k)).\nAnswer: -504*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*n**5 - 4*n**5 + 2*n**5 + (2 - 2 - 2)*(-11*n**5 + 3*n**3 - 3*n**3) + 73*n**5 - 6*n**5 - 337*n**5.\nAnswer: -250*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h = 25 + -18. What is the remainder when 11 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i\/i**(4\/13))\/(i*i**(-2\/13)) assuming i is positive.\nAnswer: i**(-2\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 12\/(-15)*85\/34?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {e: 2, l: 11}?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 402*h = 380*h + 44 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put 8, -104, -2\/11, -4 in decreasing order.\nAnswer: 8, -2\/11, -4, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 38029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 69 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 176508887?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*q**2\/3 + 17824*q\/3 + 53526 = 0.\nAnswer: -9, 8921","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 120595590?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*b - 3*b = 1479. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -4*b + 4. Let k(n) = 11*n - 11. Let p be 108\/(-162) + 16\/(-3). What is p*k(r) - 17*j(r)?\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -9474 - 26031 = -579*l - 492*l - 244*l for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r**(1\/3))**(-13\/3)\/((r*r\/(r*r**(2\/13))*r)\/(r*r**(-18))))**(-4) assuming r is positive.\nAnswer: r**(9496\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 87870 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = -n**3 + n**2 + n + 5. Let z be w(0). Let g be 2\/((9 - z) + -5). Let f be 10\/6 - (-1)\/3. Sort f, g, 3 in ascending order.\nAnswer: g, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-4)\/(-7) - 3\/(-27)*-18)*14\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 2\/11 (b) -2\/3 (c) 12 (d) 3\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:03 AM and 6:28 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = 6*t - 3*t - t - t + 1. Let q be m(-1). Solve s + 4*s = q for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -c**3 - c**2 + 2*c - 5. Give b(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(-5\/3)\/h**4)**(-2\/13)\/((((h\/(h\/h**4))\/h)\/h**(-2))\/(h**6*h\/h**3)) assuming h is positive.\nAnswer: h**(-5\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -150082784*x**3 + 0 + 150082757*x**3 + 0.\nAnswer: -27*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {p: 7, q: 5, o: 2}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -1 (b) -2\/5 (c) -35\/3 (d) -0.2 (e) 0.3 (f) -5 (g) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-seven fifths of a gram in milligrams?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 266331456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 2969 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -i**3 + 10*i**2 + 11*i + 2. Let u be n(11). Let x = 1177695943\/1573 - 748694. Let t = x - 3\/121. Put t, u, -4 in descending order.\nAnswer: u, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 73, -133, -753, -1997, -4075, -7197?\n\"Answer: -35*i**3 + 3*i**2 + 30*i + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = -24761 + 99043\/4. Put -0.9, 2, -5\/2, q, -2 in increasing order.\nAnswer: -5\/2, -2, -0.9, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -211*t - 998 + 739*t + 499 + 500 + 74*t to the form y + f*t and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 289 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 308289 is divided by 971?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u, 1 h, and 2 l when four letters picked without replacement from wkkuwwklwhl?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 52\/(-39)*(-2)\/(-20).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -526 + 537. Let x(g) = g**3 - 9*g**2 + 2*g + 12. Suppose 12 - 57 = -5*b. Calculate the remainder when x(b) is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u - 2*d = -4*d + 33, -21 = -2*u - d. What are the prime factors of 2 + u\/((-27)\/(-138))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*p**2\/3 + 104*p\/3.\nAnswer: -2*p*(p - 52)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is (-3 - 249\/(-72)) + (-2)\/(-12)?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) be the first derivative of -23\/5*y**5 + 43 - 2*y**3 + 0*y + 0*y**4 - y**2. What is the third derivative of b(m) wrt m?\nAnswer: -552*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 274961 is divided by 283?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 782433454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x + 0*x + 216 = 5*d, -78 = -2*d + 3*x. Let n = 3 + 0. Suppose -n*p - d = -10*p. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -78*w - 179 = -1427. Let s(n) = n - 25. Give s(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -46 + 66. Suppose -41*s + 95 + 95 - 67 = 0. Solve -s*q + f = -8*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.44 - -19.44. Let t = -19.00000052 + h. What is t rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = 77*o - 49. What is s(4)?\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -667, -666, -665?\nAnswer: -664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m\/((m**8\/m)\/m*m))\/m*m**(-4)*m)**8*(m**(1\/2)*m**3)\/(m**(-1\/4)\/(m\/(m**(-2\/33)*m))) assuming m is positive.\nAnswer: m**(-10057\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = -2*f**2 + 10*f + 10. Let p be y(6). Which is the nearest to p? (a) 5 (b) -1\/3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -2.86693 and 1.161.\nAnswer: -1.70593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 11*h - 163337 - 60722. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 1254\/(-198) - 12\/(-2) - 136\/(-3). Calculate the greatest common divisor of r and 415.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-2)\/(-1) + 3)*-5. Let s = 35 + y. Is 5 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 1332787266, 1332787267, 1332787268, 1332787269, 1332787270, 1332787271?\n\"Answer: d + 1332787265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -y**2 - 6*y - 7. Let v be (8\/3)\/((-3)\/9). Let b(g) be the second derivative of -g**3\/3 - 11*g**2 + 62*g. Let d be b(v). Determine q(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = 4*w**2 + 2*w - 3. Let a(m) = 3*m**2 + m - 2. Let c(d) = 5*a(d) - 4*g(d). What is c(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1978983 and 4401.\nAnswer: 1467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = -174*k + 51. Let v be f(-5). Let s = v + 3579. What is s rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose r - n - 512 = -5*n, 0 = -5*r + 2*n + 2516. What are the prime factors of r?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5 + (32 - 38 - (0 - 3))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bbkk when four letters picked without replacement from {b: 2, k: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 98\/((-588)\/18)*(-1)\/15\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = -224*x + 85. What is k(-4)?\nAnswer: 981","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t + 338 = -817. Suppose 3*o + t = 14*o. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (11 - 5 - 0) + 2 - (-36 - (18 + -14)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = 23*p - 49. Let v(d) = -47*d + 98. Let y(q) = 7*u(q) + 3*v(q). What is the remainder when y(5) is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1263021603 to the nearest integer?\nAnswer: 35539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 + 4 - 36164*a**2 + 36165*a**2 - 6.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 212221210220 (base 3) to base 5\nAnswer: 110042100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in -5, 2, -857, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 5068280 and 44859?\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = o**2 - 2*o - 2 + 4*o + o. Let k be r(2). Does 17 divide 316\/k - (-1)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 1*4\/(24\/(-58))*-84. Let f = g - 413. What are the prime factors of f?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -16 - 830386?\nAnswer: -830402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 953558 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*d**5\/9 - 22*d**4\/9 - 82*d**3\/9 - 34*d**2\/9 + 80*d\/9 + 56\/9 = 0.\nAnswer: -2, -1, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -1 - -103003222?\nAnswer: 103003221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*w + 4*k + 12 - 22, -4*k = -5*w - 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = -13*y + 59. What is the least common multiple of s(4) and (44\/(-8))\/((-2)\/4)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.3 + -0.7. Let v = 179372\/13 + -13820. Let x = v - -22. Which is the third smallest value? (a) r (b) x (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = 3 + 6 - 2*n - n**2 + 1. Let o be l(-4). Solve -3*p - 2 = -3*w + 4, 0 = -4*w + 2*p + o for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*o + 5*q + 19 + 16, 5 = -4*o - 5*q. What is the remainder when 18 is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 169578594 by -56526198.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 68622212 a multiple of 208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 444 - -275480?\nAnswer: 275924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -142394 * -31\nAnswer: 4414214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17 = -5*i - 97. Let r = -12 - i. Solve 4*j - 3*k + r*k + 14 = 0, -j = -4*k - 5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*x**2 - 3*x**2 + 2*x**2 + (7*x**2 - 15*x**2 + 18*x**2)*(-4 - 1 + 3) - 1 + x**2 + 1.\nAnswer: -17*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h = 37 + -39. Which is the closest to -9? (a) -1\/3 (b) 1\/3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.3*-2000.8146\nAnswer: -600.24438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -228*q**2 + 4*q**3 + 3*q + 228*q**2 - 2 to l*q**2 + v + i*q**3 + m*q and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose c + 847 = 2*x - 2*c, -5*x - c = -2109. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = 3*f**2 + 3*f. Let n be v(-7). Suppose 10*m + n = 3*m. Does m = -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 7079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 2, a: 2, o: 4, w: 2}. What is prob of picking 2 w?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -460a + 55?\nAnswer: -4565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -2*x + 3*x + 3*x**2 + 1 + 0. Let j be (-3 + 27\/(-6))*-56. Let o(b) = -j - b**2 + 420. Determine -2*a(r) - 5*o(r).\nAnswer: -r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 5.0054 + 796\nAnswer: 801.0054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -127137, -127140, -127143, -127146, -127149, -127152?\n\"Answer: -3*w - 127134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -640*s + 50 = -615*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round -345183 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -0.177, 2 in ascending order.\nAnswer: -0.177, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 417409?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l = 3*s + 244, s + s + 170 = l. Let c be ((-2)\/(-4) - -1)\/(16\/(-768)). What is the common denominator of 7\/8 and s\/9*c\/80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 110112 (base 5) to base 4\nAnswer: 323012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -3 times -115216\nAnswer: 345648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z + 3 = -3*h + 21, h + 30 = 5*z. Let t(p) = p**3 - 6*p**2 + p + 1. Calculate t(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 11 - m + m + 3*m - 2 - 6 + 378*m**4 wrt m?\nAnswer: 4536*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12150 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 4862, 9706, 14552, 19400, 24250, 29102?\nAnswer: 33956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-1)\/2 - (-92)\/(-8). Let f = 48 - v. Calculate the greatest common divisor of f and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -b**3 + 11*b**2 + b - 10. Let z be k(11). Suppose -3*u = 3*v + 6, 4*v + z + 19 = 2*u. Solve -1 = -5*y + u*f + 2, -5*f = -5*y + 15 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -13622, -26880, -40140, -53402, -66666, -79932?\n\"Answer: -j**2 - 13255*j - 366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) be the third derivative of -g**5\/60 - 11*g**4\/24 - 3*g**3 - 12*g**2. Let m be q(-10). Is -8 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1.127 - -1.187. What is the closest to -1\/2 in 2, a, -4\/11?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 + 0 + 1)*(3*o + o - 3*o)*(0*o**2 + 11*o**2 - 4*o**2)*(14*o - 14*o - 4*o**2).\nAnswer: -140*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 112 = -5*u - 2*w, 4*u + w + 187 - 101 = 0. Which is the fifth biggest value? (a) -1 (b) -0.4 (c) u (d) -3\/7 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = y**3 - 13*y**2 + 3*y - 38. Let x be o(13). Let l(w) = w**2 - w. Let f = -8 + 11. Let q(n) = n**f + n + 3*n - 3*n**2 - n**2. What is x*q(t) + 4*l(t)?\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is ((-110)\/(-275))\/(16\/(-6)*(-45)\/(-150))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 2, h: 2, m: 5}. What is prob of picking 1 d and 1 h?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 338*a**4*y - 5017*a**3 + 9519015*a**2*y wrt a.\nAnswer: 8112*a*y - 30102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f - 3 = -3*r, 13 = -2*f + 6*r - 3*r. Let x = 1 - f. Suppose -13 = x*b - 16. Sort 3, b, 7.\nAnswer: b, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) be the second derivative of w**5\/10 + w**4\/12 - 139*w**3\/6 - 2133*w**2\/2 - 2298*w. Differentiate s(n) wrt n.\nAnswer: 6*n**2 + 2*n - 139","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -184*h + 373*h - 237*h = 3408 for h.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 88656*x**4 + 2*x**3 - 24410391*x**2 wrt x?\nAnswer: 2127744*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:09 AM and 12:21 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: (312\/(-130))\/(((-824)\/6798)\/(20\/(-6)))\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1\/105, -20, -3092?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 616.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.7 - -0.4. Let j = 53\/110 - -1\/55. Which is the nearest to 0? (a) n (b) 0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) be the third derivative of -d**4\/24 + 25*d**2. Let a(c) = -20*c**2. Determine k(a(q)).\nAnswer: 20*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 383*s = 492*s + 3488 for s.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w be 54\/21 - (-184)\/(-322). What is the nearest to 0.2 in w, -5, 48, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/5 in -0.2, 18, 1\/4, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = -4*a + 43. Let r be k(9). Let w be (r + -6)*0 - 6\/(-2). Suppose 0 = w*o - 0*o + 9, 0 = -5*v + 2*o + 6. Let f(s) = -s**2 - s - 9. What is f(v)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -67\/648 and 35\/488.\nAnswer: 39528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/8, -54506, -3\/13, 1 in increasing order.\nAnswer: -54506, -3\/13, 1\/8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) be the second derivative of 5\/2*g**3 + 0 + 4*g - 15\/2*g**2. Find the first derivative of s(h) wrt h.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.87 + -0.85392. Round q to 3 decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2237972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*n + 15 = -5*r, 632*r - 1260*r + 6 = -630*r + 5*n for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.088 + 0.175. Let n = 0.087021 - p. Round n to 6 dps.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2216317.\nAnswer: 2216317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 16*w - 2*w - 40*w + 14*w + 8*w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 14*k - 17*k - 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 100057397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express -3*p**2 - 15*p + 6*p**2 - 64*p - 2*p**2 as o*p + w*p**2 + x and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = -16*d + 4. Let r(y) = 11*y - 3. Calculate -5*q(h) - 8*r(h).\nAnswer: -8*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-1637)\/(-6)*(-184)\/127490. Let y = 1\/5795 - m. Calculate the common denominator of y and -1 - ((-214)\/48 - -7).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-20356)\/(-16) - 1 - (-6)\/8 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -2*p - c + 17, -4*c = -2*p + 8. Let g(m) = -m**2 + 13*m - 7. Calculate the remainder when g(9) is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 7257.684cm?\nAnswer: 72.57684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yjg when three letters picked without replacement from {j: 8, g: 4, y: 2}.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b = -18 + 30. Let i be 4\/18 - 236\/36*-5. Suppose i - 407 = -11*g. Calculate the remainder when g is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 divided by -1820.\nAnswer: -1\/910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2*o**2*r**2 + 219*o**2 - 2936*o + 3625541*r**2 wrt o.\nAnswer: -4*o*r**2 + 438*o - 2936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 5965831*h**4 - h + 2703208.\nAnswer: 71589972*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t be (8\/8)\/(6\/(-9)*(-8)\/(-16)). Sort -137, -2, t.\nAnswer: -137, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: (38\/22)\/(1\/44*4)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 403088 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1.053? (a) 15\/49 (b) 1\/44 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c be -5*(-3 + -124)*-179. Let j(l) = 4352*l**2 - 7*l + 5. Let d be j(-4). Let f = d + c. What is f rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*k + 8 = -3*u, 12*k + u = -6 - 76 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 555 divide 74741850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ygfgefg. What is prob of sequence ef?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 69\/2 and -1\/288528.\nAnswer: 288528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*z + 3*z - 54. Suppose 0 = 5*m + v + 3*v - z, 3*m - 9 = -3*v. Let u(w) = w. Let o(d) = 7*d - 1. What is m*u(c) - o(c)?\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((r**(1\/3)*r)\/r)\/r**(-9))**(-35))**(-11) assuming r is positive.\nAnswer: r**(10780\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 2, 0.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -18*z**4 - 17*z**3 - 11*z**2 + 96324*z wrt z.\nAnswer: -216*z**2 - 102*z - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3869 is divided by 1276?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) be the second derivative of 1\/54*j**4 + 2\/9*j**2 - 1\/9*j**3 + 174*j + 0. Factor t(q).\nAnswer: 2*(q - 2)*(q - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5742*x**3 - 2124544*x**2 - 196521430*x - 136900.\nAnswer: -2*(x + 185)**2*(2871*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 - 2 = u. Suppose 25*p = 26*p - 4. Sort u, p, -4 in decreasing order.\nAnswer: p, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 42 - 21. Suppose 0 = 5*f - h - s, h + 2*h = 5*f - 13. Solve 0*i + f*i + 25 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(320) - (-4 + sqrt(320)*4))**2*-1.\nAnswer: -2896 + 192*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 43305034*q**2 - 50781833*q + 1.\nAnswer: 86610068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -314b + -27?\nAnswer: -3176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 250787 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -12*h - 14. Let b be o(-2). Let w be (-5 - -11 - b)\/(-22). Find p, given that -w*p**2 + 2\/11 + 0*p = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 14450000 to the nearest one hundred thousand.\nAnswer: 14500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from kkkkkkdkdkk. What is prob of sequence kdkk?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4515 is divided by 442.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express (0*f**2 - 3*f**2 + 2*f**2 + 4*f)*(-34485 + 34472 - 87*f + 85*f) in the form l + n*f**2 + i*f**3 + p*f and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by 162\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m = 12466 + -8167. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ffkkkddvkekfvevkdd. What is prob of sequence vk?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 77\/4647350 and 101\/2788410?\nAnswer: 13942050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 12936101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1022, -2105, -3188, -4271?\nAnswer: -5354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(882)*-2 + sqrt(36)\/sqrt(2) + 3.\nAnswer: -39*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 120418?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r be 32\/24 + (-22)\/30. Let f = 2 + -3. Let j be f\/(-6) + (-5)\/12. What is the closest to -1 in r, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 445.31 to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -4 - (-15 + (7 - 8)) - -6?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1622880 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = d**3 + 3*d**2 - 2*d - 2. Let f be m(-2). Suppose -3*p + f = -p. Solve 8*t + 20 = p*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -228 - -282. What is the highest common factor of 81 and d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -528 - 813. Is -1341 != n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (2\/(-10))\/((-39)\/((-1755)\/4))?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(sqrt(119) + -3*sqrt(119)))\/(sqrt(875)\/sqrt(5))*2.\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-6)\/(-88))\/(6\/16).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 6\/(-27) - (-8)\/36. Suppose m = 2*i + 12 - 80. What are the prime factors of i?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -7*m - 3. Let l be o(-2). Suppose -6*i = -l*i - 20. Let f be (-3)\/i*(-12)\/3. Put 3, f, -0.4 in decreasing order.\nAnswer: 3, -0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 14\/17 + -2\/85. Let b = 0.3 - 0.2. Let h = b - 0.2. Is t greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 6319*h**6 + 8*h**4 + h**3 + 358773*h**2?\nAnswer: 758280*h**3 + 192*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o*o\/(((o*(o**(-1)*o)\/o)\/o)\/o)*o\/o**(1\/4))**(1\/41) assuming o is positive.\nAnswer: o**(19\/164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 4729817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**0\/v)**(-3\/2)*(v**(1\/2))**47*(v\/((v\/(v\/v**(-1\/4)*v))\/v)*v\/(v\/(v\/v**(-5)*v)*v))\/(v**1)**(12\/7) assuming v is positive.\nAnswer: v**(911\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v\/((v**0*v)\/v))**(7\/2)*(v*v**0)**(2\/31)*(v\/((v*v*v*v\/v**0)\/v))**(2\/11)*v**2*v**0 assuming v is positive.\nAnswer: v**(3547\/682)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*f + 0*f + 2*f)*(1 + 1 + 0)*(3*f - 19 + 19).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*l + 15 = 18*m - 63*m + 37*m + 20, 22 = -4*m - 2*l for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -3912 divided by -2\nAnswer: 1956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5720\/(-126) + 45 - 3\/(63\/(-6)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -5 - 1. Suppose 3*h + 7 = 37. Calculate the least common multiple of (i\/(-8))\/((-1)\/(-24)) and h.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/28 of a week in minutes?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 458499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 286 and 50792664?\nAnswer: 558719304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = o**5 + 29*o**4 + 44*o**3 + 24*o**2 + 4*o + 4. Let f(n) = -n**5 + n**4 + n**3 + n**2 + n + 1. Let u(c) = -4*f(c) + w(c). Factor u(h).\nAnswer: 5*h**2*(h + 1)*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = j - 7. Suppose -d = -2*i + 4*i - 23, -3*i = d - 34. Let b be f(i). Suppose -3*s = -2*s - 2*m - 1, 0 = -b*s + 5*m + 19. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/3, 4, 2\/3, 2\/5 in descending order.\nAnswer: 4, 2\/3, 2\/5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Work out 733483 * -0.3.\nAnswer: -220044.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -5 (b) 1.1 (c) 119 (d) -4\/7 (e) 22 (f) 2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 13 + -18b?\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose i + 8 = 0, -140*v + 3*i = -135*v - 3101959. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -k. Let b(s) = -8*s**3 + s**2 - 13*s + 7. Let t(z) = -b(z) + 5*u(z). Is t(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 53*l**2 + 5*l**3 - 53*l**2 + (l + 5*l - 4*l)*(2*l**2 - 2 + 2) in the form n*l**3 + b*l + z + c*l**2 and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + -6*((sqrt(567) + sqrt(567) + 1*sqrt(567) + sqrt(567))*3 + (sqrt(567) + 2*sqrt(567)*5)**2) + -5 + -4.\nAnswer: -411650 - 648*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is b in -3*b**2\/2 + 763354*b + 508903\/2 = 0?\nAnswer: -1\/3, 508903","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort 11, 1, 0.06, 0.1, -2 in descending order.\nAnswer: 11, 1, 0.1, 0.06, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 85669 to the power of 1\/2, to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -86, -108, -128, -140, -138, -116?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1.2 + 1. Suppose 0 = -3*z + l + 16, 533*l = 5*z + 534*l - 16. Which is the closest to -0.5? (a) 0.1 (b) -0.4 (c) z (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -2*(-14)\/(-2)*(-253)\/(-2277)\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1 bigger than 198\/1105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 261 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (32\/(-30) - (-6 - -5))*20\/10.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 47 + 4 + -50 - ((-27 - -2) + 0)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 17 = 4*k + 9 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 25773?\nAnswer: 3, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(sqrt(612) + (sqrt(612) - (-3 + sqrt(612) + 5) - sqrt(612)))*-2)**2*4.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2016 = -53*y + 21304. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + (sqrt(245) - (0 + sqrt(245))))*5 + -4 + (sqrt(245) - (1*(sqrt(245) + -2*sqrt(245)))**2) + -4*(sqrt(245) + 2 - sqrt(245))**2.\nAnswer: -255 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 169*i - 183*i + 20244. Calculate the lowest common multiple of 482 and i.\nAnswer: 1446","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {n: 2, q: 1, h: 1, u: 6, g: 7}. What is prob of sequence gquh?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f and 1 w when two letters picked without replacement from {w: 1, z: 1, f: 2, l: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*r**2 - 4968*r + 1542564.\nAnswer: 4*(r - 621)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1\/2280 - 20899\/2280. Calculate the common denominator of 61\/20 and c.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -7961, -7943, -7915, -7877, -7829?\nAnswer: -7771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -105*u**2 - 9*u + 9918.\nAnswer: -210*u - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o + 4*n = 8, -o - 3*o + 2*n = -26. Suppose -6 - 4 = o*r. Let p be (-1)\/r + (-2)\/(-4). Is p at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8 = 4*y - p + 3*p, -p = 3*y - 9 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = 2*b**2 - 8*b + 3. Let o(r) = -5*r**2 + 23*r - 8. Let j(z) = -3*o(z) - 8*v(z). Calculate the remainder when 7 is divided by j(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -14 + 48 - 35 + 195*x to the form i + b*x and give b.\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 10 - 333042001?\nAnswer: -333041441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = f**2 + f - 4. Suppose 5*u = 7*m - 11*m + 30, 5*m = 0. Determine n(u).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -101 + 165. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 12732.57ml?\nAnswer: 12.73257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1\/1202 - 4851\/51686. Let y(c) = -c**3 - 8*c**2 - 7*c - 11. Let n be y(-5). Let u = -51 - n. Which is smaller: u or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -57 - -54. Suppose 25 = 9*l - 4*l. Let p(r) = 4 - 2*r - l - 2. Let u(o) = -3*o - 2. What is w*u(s) + 2*p(s)?\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Divide 33 by 767.\nAnswer: 33\/767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 652 minutes after 12:14 PM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17 - 12 = -m. Let p be -3 + (-1 - m - 3). Let q be 10\/4 - p\/(-4). What is the greatest common divisor of q and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (9924\/(-11578))\/(2\/91)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = 2*c. Let n be z(1). Suppose -8 = -n*k, -7*u + 42 = -5*u - 2*k. Let o be (7 + (-145)\/u)\/(3 + -1). What is the nearest to 1 in o, 1, 0.07?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -c**2 - 82*c - 237.\nAnswer: -(c + 3)*(c + 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = 12*j - 2 - 19*j + 48*j. Let b be u(2). Suppose b - 6 = 2*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -82469.930016 + 82528.6. Let m = 1.355916 + k. Let q = m + -60. Round q to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 46836325 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2483034.\nAnswer: 2, 3, 19, 23, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-120)\/(-64))\/3*6\/15.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26 = -4*t - 2. Let v(j) = -j**3 + 8*j**2 + 9*j + 2. Let d be v(9). Solve d*u = -u - t for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 117532?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 2148*i + 406*i = -3883*i + 275876 + 322765 for i.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*n + 10*n - 5*s = 0, -2*s + 2 + 0 - 1 = 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -18 + 5 + 5 + 17*z**2 + 8.\nAnswer: 17*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 33 divide 212625270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 2d7 + 482?\nAnswer: 769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence puh when three letters picked without replacement from pahhhkahku?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 6312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16605*n + 16720*n = 575. Let c(y) = y**2 - y + 1. Let u be c(3). Let h = u - 3. Solve t + h = n*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 2\/62955 + -62969\/440685. Suppose 0 = v - 77 + 21. Does v = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = 7*d**2. Let i(m) = -60*m**2 + 2. Determine i(x(f)).\nAnswer: -2940*f**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 426293137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 378346.4ml?\nAnswer: 378.3464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 313705?\nAnswer: 5, 7, 8963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*c - 5*c. Solve 1 + c = b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*x + 2*x + 220. Let p = -14097\/122 + 186\/61. Let i = x - p. What is the second smallest value in -2\/47, i, -2\/5, 1?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*f = 24*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.3 in -21, 6\/7, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 l and 2 u when four letters picked without replacement from {l: 2, z: 2, u: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 326.9? (a) 2\/11 (b) 88 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 0 equal to -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round -4841152.254 to the nearest ten thousand.\nAnswer: -4840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 4367 divide 242351032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = j**2. Let a be ((-10)\/4)\/((-1)\/2). Let m(w) = w + 0*w - 2*w - a*w. Calculate m(l(r)).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 18*h = -4*k - 19*h + 1275, 397*h = -3*k + 395*h + 52 + 3 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*i + 1\/5*i**2 - 1\/10*i**4 + 0 - 1\/10*i**3 = 0. What is i?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4107 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:14 AM and 8:40 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.1 and 966.\nAnswer: -96.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18 = 7*c - c. Find the first derivative of -3 - x**2 + 1 - 3 - c*x**2 wrt x.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) -1 (b) -177 (c) 5.82 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 + (4 - 84) + 1 - ((64 - 13) + -59).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*w = -177 - 87 + 12 for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -664 - 235?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y + u - 16 = 0, 5*y - 5*u + 3 = 23. Solve -y*o = o - 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1\/15047 or 0?\nAnswer: 1\/15047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.0342 - 0.106. Let a = v + 0.14. Round a to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 180399660.\nAnswer: 2, 3, 5, 7, 79, 5437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -0.4 less than -12991730?\nAnswer: -12991729.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = -l + 0*l + 3*l. Let n(v) be the third derivative of 5*v**4\/24 + v**2. Determine n(c(g)).\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -26*5\/200 - 15\/(-12)*1.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2 + -5. Let m be 1*(s - -5*3). What is the highest common factor of m and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1331) + -1 + -2 + sqrt(1331))**2.\nAnswer: -132*sqrt(11) + 5333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -f**3 - 5*f**2 + 7*f + 7. Let o(m) = -m**2 + 5*m. Let i be o(6). Let s be d(i). Let k = -20\/9 - -8\/9. Put k, s, -3\/8 in decreasing order.\nAnswer: s, -3\/8, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1.13 + -0.51. Round u to 1 decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o - 3*y + 11 = -6*y, 2*y - 37 = -5*o. Suppose -o*s + 210 = -273. Is (s\/(-9))\/(3\/(-45)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -p**4 + 723*p**3 - 721*p**2 - 723*p + 722.\nAnswer: -(p - 722)*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1.77 - 1.77000095. What is g rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000339971649 rounded to 7 dps?\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 62.8 or 25136?\nAnswer: 25136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 28515755 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) be the second derivative of -h**4\/12 + 109*h + 2. Let o(j) = 1189*j**2. What is g(o(k))?\nAnswer: -1413721*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -10.8 plus -1019?\nAnswer: -1029.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xxzxzx.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = 2*y + 5. Give p(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p = -525193088.998562 - -525194022. Let d = 933 - p. What is d rounded to 4 decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1434 and 136.\nAnswer: 97512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p = 5 + 1. Suppose 1794 = 3*i + p*i. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -t**3 + t - 1. Let y(k) = -5*k**3 - 3*k**2 + k. Let i(a) = -6*r(a) + y(a). Let d(j) = j**3 + 4*j**2 - 7*j - 6. Let q be d(-5). Determine i(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(800) + (-3*sqrt(800) + -3 - sqrt(800)))*-4 - (((3 + sqrt(800))*6)**2 + -3)) + -4.\nAnswer: -29113 - 4080*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 1111200111011 (base 3) to base 5\nAnswer: 201111142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: ((-13)\/(208\/12))\/((612\/(-90576))\/(1\/(-6)))\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -4 (base 15) to base 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10 + -4 + -9 - 74*-1 is divided by 31?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -b40 - -14413?\nAnswer: 136b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -2*t**2 - 3. Let r(c) = 10*c - 25025. Determine r(x(o)).\nAnswer: -20*o**2 - 25055","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Divide -687 by 1.\nAnswer: -687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 9, b: 11}. What is prob of sequence jb?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1 + 1. Let c(i) = -3*i**g - 5 + 5 + 0. Let b(w) = 3*w**2. Give b(c(l)).\nAnswer: 27*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t - 86 = -26. Let o = 1573 - 1569. Let v be t\/(-35) - o\/7. Solve 8 = 2*y + 2*y + 2*p, -4*y - 5*p + 2 = v for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-84 - (17 + (-44 - -19)) - -22) + 2 + 4.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -0.04, -0.6, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 773583871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put 0.09, 2, 0.0099, -0.4, -0.3 in decreasing order.\nAnswer: 2, 0.09, 0.0099, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n = -3*o + 40, 45*n = 43*n + 2*o - 60. Suppose 31 + 23 = -2*h. Let r = n - h. Solve t + r = -0*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r**(-21)*r*r**(-31)\/r*r)\/(r**(-2\/13)*r\/r**(-3\/17)))**17 assuming r is positive.\nAnswer: r**(-11497\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f be 32\/18 - 4\/(-18). Let t = -15 + 14.7. Which is the closest to f? (a) -0.4 (b) t (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -43\/2 and 169\/1740.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor -4394*b**2 + 2205*b**2 + 242*b + 2191*b**2.\nAnswer: 2*b*(b + 121)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 546 minutes after 8:35 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 94599 divided by -94599.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (-2 + sqrt(252)*-2 + (-3 + 1 + sqrt(252))**2 - (4 + (sqrt(252) - (sqrt(252)*2 + 5)))).\nAnswer: -30*sqrt(7) + 250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 145\/2812026 and 83\/26838.\nAnswer: 25308234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.11 in 5, -3\/7, -2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand 74*u + 65*u - 109*u + (6 - 1 - 2)*(-3*u + 3*u + 2*u) + 3 - 3*u - 3 + 0 + 0 + 2*u.\nAnswer: 35*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.2 in -151, -0.04, 5, 7, 0.07?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Work out 949280218 + -100.\nAnswer: 949280118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: Let u(k) = 2*k**2 - 15*k - 22. Let d be u(9). Suppose -d*w + 5*n = -121370, -4*w + 7*w - 2*n - 72825 = 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -29 + 74. Let j be (-6)\/8 - z\/(-12). Let b(n) = 1 - 2 + 2 + 2*n + j + n**2. What is b(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) be the first derivative of p**3\/3 - 17*p**2 - 36*p + 171. Let q be i(0). Suppose -5*j + 2*v - 182 = 0, -j - 2*j = -5*v + 113. Is q > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 149\/326532 and 49\/544220.\nAnswer: 1632660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express (1890*b + 4559*b + 882*b)*(-3*b + 6*b - 2*b) as k + n*b**2 + i*b and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 14 (b) -0.2 (c) -36 (d) -2\/11 (e) -12 (f) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = -d**3 - 9*d**2 - 2*d + 11. Let p be n(-6). Let z = p - -21. Which is greater: z or -62?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:22 AM and 7:02 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose w - 5*i - 15 = 0, 2*i + 13 = 2*w - 3*w. Let j(h) = h**2 + h. Is j(w) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) be the first derivative of 3\/10*g**4 + 0*g - 2\/25*g**5 + 0*g**2 - 239 + 8\/15*g**3. Suppose j(b) = 0. What is b?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1581316.\nAnswer: 2, 11, 83, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 4 (base 8) to base 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 2895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 1036840\/(-39675)*(-9)\/(-21)\nAnswer: -56\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -26274 + 5?\nAnswer: -26268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3\/5? (a) 0.4 (b) -2\/3 (c) -2035.1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u = -5547 + 5550. Put 0.3, -3\/43, u, -3 in increasing order.\nAnswer: -3, -3\/43, 0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) 1\/5 (b) 2\/17 (c) -0.6 (d) -10 (e) -0.4 (f) -4\/7 (g) -3.62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 2940 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = -18*z - 136. Determine h(-9).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -4*n + 7. List the prime factors of (-92)\/(-2)*(n + -2 + 1).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23 = r - 5*r + 5*i, i + 1 = -r. Which is greater: r or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) be the third derivative of w**4\/24 + 5*w**3\/6 - 3*w**2. Let g be (-5)\/(-1) - (-1 - -1). Suppose g*l = 2*l. What is t(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -151 (base 11) in base 10?\nAnswer: -177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1322111 (base 4) in base 15?\nAnswer: 24be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 1362185, 5448810, 12259853, 21795314, 34055193, 49039490, 66748205?\n\"Answer: 1362209*q**2 - 2*q - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:34 AM and 6:20 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -10 - 2*q**3 - 2*q**3 + 2*q**3 - 4*q**3 wrt q.\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 - ((-2)\/8)\/(24\/224)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -73 (base 11) to base 7\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = 4*w - 3. Suppose -4 = -h - 4*p, -5*h - p = 4*p - 20. Suppose h*d + 1 = 21. Let x(a) = 3 + 3 + 2*a - 11*a. Give d*j(t) + 2*x(t).\nAnswer: 2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2645 - 2641. Suppose -3*a + 8 = 4*o, 4*o = 3*a + 34 - 2. Solve t - 5 = u*p, -2*p + t = p + o for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 3\/(-3 - (-117)\/42). Let g = 13 + u. Put g, 0, -3 in ascending order.\nAnswer: -3, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*j**3\/4 + 875*j**2\/2 - 170125*j\/4 + 403125\/2.\nAnswer: 5*(j - 75)*(j - 5)*(j + 430)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose k = 2*k + 2*r - 6, -3*r + 7 = k. Let z be k\/((-12)\/33) + 2. Let g(p) = p**3 + 8*p**2 - 12*p - 5. Calculate the least common multiple of 22 and g(z).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rr when two letters picked without replacement from rerrreerre?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = s**2 - 13*s - 47. Let t be m(16). Solve -3*b - t = g - 0, 0 = 2*g - 2*b - 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/2? (a) 2\/3 (b) 0 (c) -5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 119 = -3*f + m + 122, 5*m = 3*f + 21. Let k = -2\/201 + -44\/67. Which is the fourth biggest value? (a) -1\/4 (b) k (c) f (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 3\/2059?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) be the second derivative of 463*q**3\/2 - 729*q**2\/2 + 7*q + 32. Differentiate l(m) with respect to m.\nAnswer: 1389","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) be the first derivative of -t**4\/4 - 7*t**3\/3 - 3*t**2 - 7*t + 9. Determine l(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.6 take away -120099?\nAnswer: 120098.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i + 7*j - 26 = 4*j, i = 5*j - 15. Calculate the remainder when 55 is divided by 3\/(1 - -4*1\/i).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -31\/4, 0.5, -0.04158327, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i and 1 p when two letters picked without replacement from iiippipi?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/13? (a) 3 (b) 2\/9 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -571777, -571795, -571825, -571867, -571921?\n\"Answer: -6*u**2 - 571771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = -7*c + 12. Let i be a(1). Suppose 152 = f - 5*u, 0*u = i*f - 2*u - 852. What are the prime factors of f?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-339 + 170 + 169 + 1111*j)*(-j**3 + 19*j**3 + 5*j**3) as s*j + g*j**2 + b + m*j**4 + i*j**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 457704 is divided by 163.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6285 = -2*p + d - 4*d, 12595 = 4*p + d. What are the prime factors of p?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from pdquqyu. Give prob of picking 1 p and 1 q.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 108 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n be (3\/(-4))\/(1\/12). Let t = n - -17. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -32 in -0.2, -2, 5\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y be 4*(-7)\/(112\/12). Sort 1, y, -3\/5.\nAnswer: y, -3\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.12 times 0.7?\nAnswer: -0.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 114440 (base 6) to base 16.\nAnswer: 2778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i be (2 - 2)\/(0 - -1). Solve i*x + 4*x + 20 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3\/27*(20\/(-5))\/((-40)\/(-30)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -95, -5 in descending order.\nAnswer: -4, -5, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.00221 - 3.00221. What is the nearest to 0 in -0.2, 252, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h + 6*s - 4*s = 6, 2*h + s = 3. Suppose -3*b + 4*j + 62 - 16 = 0, -4*b - 5*j + 82 = h. Calculate the remainder when 63 is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 10 and 698?\nAnswer: 3490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 893 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 - 5 = 7*b. Let j be ((1 - -3) + -1)*b\/(-33). Is 1\/16 at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 6973600 to the nearest 10000.\nAnswer: 6970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r = 72 - 67. Suppose -r*g + 157 = -343. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 33966 is divided by 176?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*u**5\/4 - 1659*u**4\/2 + 120303*u**3\/4 + 110202393*u**2 + 13237638987*u = 0.\nAnswer: -181, 0, 734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 493 minutes after 10:39 PM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 4650 and 750?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 121 (b) -4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*f**3 + 2 - 139*f**3 - 4 + 1.\nAnswer: -145*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n be 1742\/(-234) + -4 + 11. Let w(v) = v**3 - 10*v**2 + 10*v - 6. Let q be w(9). Which is bigger: q or n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 514146873 and 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -8*k + 23. Let n(l) = 15*l - 45. Let u(p) = -9*i(p) - 5*n(p). Let h be u(6). Which is smaller: h or -2\/53?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -14.21 - 2.89. Let p = 17 + g. Let l be 2\/36*4*-1. What is the closest to p in 0.2, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -9434340 by 15.\nAnswer: -628956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -138*r + 161*r = -414 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0282479213 take away 158386?\nAnswer: -158385.9717520787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -4189000 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1 + 17*o - 43*o**2 - 38*o + 338*o**2 wrt o?\nAnswer: 590","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 18\/3 + 12\/(-3). Calculate the remainder when (-195)\/(-30) + a\/(-4) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1\/86674 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) be the second derivative of -i**6\/10 + 9*i**5\/2 - 225*i**4\/4 + 181*i. Factor f(b).\nAnswer: -3*b**2*(b - 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.3*67.\nAnswer: 20.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 13827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -52*m**6 - 15*m**5 + 17*m**2 - 23*m wrt m.\nAnswer: -6240*m**3 - 900*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1179 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9440 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 3.79 times -4?\nAnswer: -15.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 981218159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(18) + (sqrt(90)\/sqrt(5) + sqrt(18))*-1 - 3*sqrt(72))\/((-5*sqrt(864))\/(sqrt(27)\/(sqrt(3) - (sqrt(3) + -1*sqrt(3))))) + 5.\nAnswer: 7*sqrt(3)\/20 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 45*c**2 - 48*c**2 + 40*c + 3*c + 62*c + 24*c - 1350 = 0 for c.\nAnswer: 18, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 295 a factor of 167855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000909608954 rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -1112 (base 3) in base 11?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-15 - -7 - -11) + 1 + -9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1541 or 1432?\nAnswer: 1541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 33?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 644586, 1289173, 1933760, 2578347, 3222934?\nAnswer: 3867521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 47 divide 291802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 90, -0.3, -0.4, 3\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o = 3546\/8855 - 4\/8855. Which is the fifth smallest value? (a) -0.3 (b) o (c) 0.07 (d) -0.1 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 22.4 + -22. Let y = 8 - 8. Let h = f + y. Which is the smallest value? (a) 16 (b) h (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -1 (b) 3859 (c) -1482\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 2210687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 255*g + 37 = 258*g - 2*i, -5*g - 3*i = -106. Solve 4*s + h - g = 2*h, 0 = -3*h - 3 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/3? (a) -10\/3 (b) 0.06 (c) 0.5 (d) 1\/18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 522592773?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -96 - 91 - m**2 + 274 - 88. Let r(l) = 7*l**3 + 5*l**2 + 2*l + 6. What is r(b) + 5*v(b)?\nAnswer: 7*b**3 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -39*c**2 - 35*c**2 - 27 + 20 + 112*c**2 + 23*c**3 - 38*c**2.\nAnswer: 23*c**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k = -176 - -192. Calculate the highest common factor of k and 976.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = 12*w. Let l be 15\/25 + (-7)\/(-5). Let v be (-2)\/(((-4)\/3)\/l). What is the tens digit of r(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.86 - 0.56. Let v = 161 - 160.8. Is v greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a - 8*a - 5 = 0. Let l = 16.4 + -16. Let y = -1704.3 + 1704. What is the second smallest value in y, a, 1, l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 9, a: 2, n: 1, y: 2}. What is prob of sequence ccna?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = 31*k**3 + 2*k**2 - 24*k + 24. Calculate the remainder when 149 is divided by c(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*c + 15*c - 40. Calculate the least common multiple of c and 295.\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 4, g: 3, n: 2}. What is prob of picking 1 n, 1 e, and 1 g?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put 59, -5, -0.3, -4\/77, 2\/23 in increasing order.\nAnswer: -5, -0.3, -4\/77, 2\/23, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -2629*n - 39483. What is c(-15)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -m**2 - 106*m - 2717. What is j(-62)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x be 4\/(-6) - (-290)\/3. Suppose 462 = -3*o + 10*o. Let u = x - o. Calculate the smallest common multiple of u and 22.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = 5*z**2 + z + 1. Suppose 8 = -5*q - c, -5*q - 4*c - c - 20 = 0. Let f be d(q). Solve 0 = f*v + 4 + 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -4*o**2 + 5*o + 3. Suppose -5*c + 40 = -2*f + 4*f, -4*f = 2*c - 80. Suppose -7*d + f = -2*d. Let i(r) = -3*r**2 + 4*r + 2. Determine d*w(p) - 5*i(p).\nAnswer: -p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/3 in -4, 5, -3173775?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = 89*r + 34. Calculate the remainder when o(1) is divided by 43.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = -k**3 + 9*k**2 - 6*k - 17. Let o be h(8). Let y = -39 + 35. Sort y, o, -5, 4 in ascending order.\nAnswer: -5, y, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*p**2 + 3*p**2 - 5*p**2 + 5*p**2 - 7.\nAnswer: 6*p**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 25 - 37 - (0 + 4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1471741681?\nAnswer: 359, 1913, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fqw when three letters picked without replacement from mgwowfqfgqfowfw?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p be 3\/(45\/12*-1 + 3). Let s(k) = -k**3 - 5*k**2 - 6*k - 6. Calculate s(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(-2*sqrt(700) + -4)*3*-5*5*-1)**2 + 0.\nAnswer: 14400000*sqrt(7) + 253440000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 614301780 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 92 divide 8903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -q**2 - 8*q. Let b(o) = -1934*o. Give b(w(m)).\nAnswer: 1934*m**2 + 15472*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = u**2 - 29*u - 3797. What is the units digit of f(-156)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 5 + 0. Solve -z*n = -10, 13 - 1 = 5*r - 4*n for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16019828 a multiple of 2308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: (-126)\/24*(40 + 9)*44\/231\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -112849\/71 or -1589?\nAnswer: -112849\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.95 - -0.75. What is the fourth smallest value in -1, f, -2, 8\/7?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 32199184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 + 34 = 6*q. Suppose q*y = -0*y + 63. Calculate the highest common divisor of y and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) be the second derivative of -u**5\/10 + 35*u**4\/2 - 1225*u**3 + 42875*u**2 + 32*u. Factor h(n).\nAnswer: -2*(n - 35)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -9 + -c293?\nAnswer: -c29c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 201 and 24?\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in -321603, -321259, -320915?\nAnswer: -320571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = 2*a - 3*f + 1, 2*a - 4 = -f. Suppose -2*w = a*w - 24. Suppose 3*z + 27 = 2*u, -z + w*z + 42 = 3*u. What is the greatest common divisor of 9 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = 4*g + 4*x, -3*x = -g - 3*g + 6. Suppose f - 1 = 1. Let t be 24\/(-14)*-1 - f. What is the second biggest value in t, g, 0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 172880543.\nAnswer: 11, 15716413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from unbbznzuuuulnnuz. What is prob of sequence nlzz?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v + 135 = 3*v. Suppose v = 5*h - 3. Suppose 0 = r - 75 + h. What are the prime factors of r?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = 5*s**2 + 1542*s + 6268. What is k(-4)?\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify i**(4\/5)*i*i*i*i*i\/i**(-1)*i**(-3)\/(i\/((i*i**4*i)\/i)) assuming i is positive.\nAnswer: i**(39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n = 283 + -282.17. What is the fourth smallest value in 0, n, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-40)\/(-440) + (-64)\/(-22). Solve -4*u - p = -5*u + x, 16 = 4*u - 5*p for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*c - 20*c + 531 = 50*c. Let d = 14 + -7. Let h(g) = g**3 - 7*g**2 + 4*g - 5. Calculate the remainder when h(d) is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1028 - 542. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21*z = 19*z - 6. Is 3 a factor of (13\/((-312)\/16))\/(z\/423)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 1, u: 1, q: 2, z: 4}. What is prob of picking 1 q and 1 b?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 479, 1939, 4381, 7805, 12211, 17599, 23969?\n\"Answer: 491*a**2 - 13*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(51)\/sqrt(3) + sqrt(17))**2 + -1 + 4 + (-2*(sqrt(17) + 1))**2 + sqrt(17).\nAnswer: 9*sqrt(17) + 143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -211\/1724940 and -23\/36913716.\nAnswer: 184568580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -16*u + 14*u + 5*p - 14 = 0, -2 = 5*u + 4*p for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -2\/7, 1, 58, -5, -2, 2, 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r = -38 + 49. Let y = 26 - 22. Which is smaller: y or r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose v + 176 = 5*v. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 797083 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round 2270400 to the nearest 1000.\nAnswer: 2270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) be the third derivative of -h**4\/8 - 5*h**3\/6 - h**2. Let z(c) = 3*c + 4. Let x(l) = 6*s(l) + 7*z(l). Is 11 a factor of x(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*b + d + 0 = 4, 4*b + 2*d - 8 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -5 divided by 44\nAnswer: -5\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 63907573?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -71\/135 and -8 + 12 + (-2082)\/450.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1122857482 to the power of 1\/2, to the nearest integer?\nAnswer: 33509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 146 divide 1676664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f\/f**(-1))**7*(f\/(f*((f*f*f**0)\/f)\/f))**0 assuming f is positive.\nAnswer: f**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -28, -11, 30, 107, 232?\n\"Answer: 2*t**3 + 3*t - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -31 - 1323131102320?\nAnswer: -1323131103011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00001195 rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x + 3 = -2. Suppose 2*s - 22 = 4*p - 18, -3*p - 10 = -5*s. Sort x, p, 4 in increasing order.\nAnswer: p, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -103284*t**2 + 34784 wrt t?\nAnswer: -206568*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 1c0 (base 15) to base 4.\nAnswer: 12111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 742 and 39326.\nAnswer: 39326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in -0.3, -1, 5.347?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 27*n - 144 - 99 = 0 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 5066 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: Suppose -4*z + 2 = -3*z. Suppose -2*a + 4*f + 28 = 0, 0 = -a + z*a + 3*f + 11. What is the tens digit of ((-44)\/8 + a)*-20?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 1657994*j**4 - 997011 wrt j?\nAnswer: 6631976*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -1000110101101100000100111 (base 2) in base 4?\nAnswer: -1012231200213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y and 1 t when two letters picked without replacement from kikrltlrlylttt?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h = 8 + -4. Suppose -h*r + 31 = -9. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 1, l: 2, y: 1, a: 2, i: 2}. What is prob of picking 1 y and 1 c?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = 2*b**3 - b**2 - 2*b. Let d be 2\/(-4) - (-58)\/4. Let z = d - 12. Determine g(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = -2*q + q + 5 - 4. Let u be (-6)\/(-4)*8\/3. Let g(z) = -2*z + 4. Let x(h) = u*t(h) - g(h). Let i(k) = -2*k**2. What is i(x(o))?\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*y - 64378 + 64378.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 35 - 35 + 5*t - 18*t to the form h*t + f and give h.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 7733466 to the nearest integer?\nAnswer: 2781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 1182 + 7308 = 279*n + 957 for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is -8438 greater than or equal to -8441?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4\/42 - 9\/((-1134)\/6).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 11 - 11.4. Let h = f + 0. Let q = h - 0.09. Round q to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2*80\/(-32)*((-41)\/(-10) - 39\/26)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1006\/7 - -22279\/154. Suppose 15*g - 12*g + 216 = 0. What is the common denominator of m and 58*(-15)\/g + -3?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1700567*p**3 + 1700549*p**3 + p**2 - 4*p**2 + 3*p**2.\nAnswer: -18*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*s**3\/7 + 5764*s**2\/7 - 364416*s.\nAnswer: -2*s*(s - 2336)*(s - 546)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l + 11 = 17. Suppose 7*y = 6*y + l. Suppose 0*q + 2*q - 10 = 0, 4*q = y*x + 5. Is 2 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -26*o + 33*o - 33*o as g + z*o and give z.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3 - -7) + (0 - (-2 - -2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (63 + 20*h - 63)*(-h + 0 + 0)*(4*h - 4*h - h)*(80 - 80 - 199*h).\nAnswer: -3980*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*q**2\/7 - 88*q\/7.\nAnswer: 4*q*(q - 22)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-1)\/((o\/o**(1\/20))\/o))**(-3\/2) assuming o is positive.\nAnswer: o**(57\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 1, q: 1, f: 1, r: 1, c: 2, o: 1}. Give prob of picking 1 r and 1 o.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r*r*r*r\/(r**(2\/5)\/r)*r*r*r)\/r*(r**(-3\/8)*r)\/r)\/(r\/((r**(-1\/4)*r)\/r))**(24\/7) assuming r is positive.\nAnswer: r**(543\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*i + 9, 5*j - 19*i + 52 = -16*i + 78*i + 23 + 302 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -2*j**3 + 4*j + 1. Give t(3).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:43 AM and 10:24 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*k**5 - 11*k**2 + 11*k**2 + k**2 - 2*k**5 - k**2 + (0*k - 2*k + 3*k)*(-3*k**4 + 2*k**4 + 3*k**4) + 16*k**5 + 12*k**5 - 17*k**5 - 1.\nAnswer: 9*k**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 1383, 1379, 1373, 1365, 1355, 1343, 1329?\n\"Answer: -a**2 - a + 1385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 21809.\nAnswer: 113, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1946825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = 90.7 - 86. Let c = -60.3 - o. Let j = c - -64.9971. Round j to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2575*l + 324438 = -379*l - 2427*l - 256710 for l.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -1 + 2 - (16 - (-1 - (-14 - -8)))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = 9 + -14. Let k(n) = -7*n**3 + 19*n**2 - 8*n. Let w(o) = 3*o**3 - 9*o**2 + 4*o. Let y(m) = -4*k(m) - 9*w(m). What are the prime factors of y(f)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -10394, -41788, -94198, -167624, -262066, -377524, -513998?\nAnswer: -671488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*k**3 + 310*k**2 + 3555*k + 3240 = 0.\nAnswer: -9, -1, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 17.6 = -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x = -39937 - -279568\/7. Is 526 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 5\/(-2) + (-3)\/(-6). Let g = 5 + h. Let u(j) = j - 5. Let p be u(7). Solve 2*w - 15 = g*m, -p*w = -5*w for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p - t + 2*t = -3, -4 = -4*p + 4*t. Let h(w) = 2*w - 1. Let d be h(p). Suppose -3*v = -7 + d. Solve 21 = -4*l + 5*c, v*l + c - 9 = 4*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00000575807 to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = 3*g - 34. Let k be f(17). Let n(x) = 9*x - 49. Let j be n(k). Suppose -j = -4*z + 4*t + 328, 3*t + 219 = 2*z. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 13, 14, 5\/39 in descending order.\nAnswer: 14, 13, 2, 5\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = -a**2 + 2*a - 1. Let l be h(1). Let d(g) = -g + 19. Is d(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*r - r + 3, -3*t + r = -74. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 145441771861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from cbqqbbcbbqqpc. What is prob of sequence cqcq?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Determine x, given that 2*x**3\/7 - 7454*x**2\/7 + 993776*x - 2971752 = 0.\nAnswer: 3, 1862","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = -y**2 + 22*y + 34. Determine f(24).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -f - 37 = 3*k, 24*f - 8083 + 8795 = 16*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 89 minutes before 11:45 AM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j = -4*x + 9 + 7, x = 2*j + 3. Let k(r) = 34*r**3 - 2*r**2 + 1. Let q be k(j). Let w = -20 + q. Solve 5*l - 3*m = m + 31, l + w = -4*m for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = 3734*x + 369. Give h(0).\nAnswer: 369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 42, 81, 122, 171, 234?\n\"Answer: y**3 - 5*y**2 + 47*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -85261 - 2?\nAnswer: -85263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000033685 rounded to six dps?\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(224)\/sqrt(7) + (sqrt(66)\/sqrt(3))\/sqrt(11) + -2.\nAnswer: -2 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 8373362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 795171 and 312.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 238 and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s be 0*(5 - -3)\/(-8). Suppose -2*z = 5*f - s*f - 161, 3*z + 2*f = 247. List the prime factors of z.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2584898 + -4984898. What is t rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -4192 (base 14) to base 3.\nAnswer: -120111112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: (-2)\/(24\/4)*6\/6\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1506, -1504, -1502?\nAnswer: -1500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 42 - -36b269?\nAnswer: 36b2ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 18296.\nAnswer: 2, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 2001366109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -13317, -26522, -39615, -52596, -65465, -78222, -90867?\nAnswer: -103400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a be 20*((-22)\/(-4) + -5). Suppose -a*t + 51 = -69. Solve -7*r + t = -10*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 52245, 52210, 52175, 52140, 52105?\nAnswer: 52070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.5, -129, -5.\nAnswer: -129, -5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 2669, 5494, 8645, 12284, 16573, 21674, 27749, 34960?\n\"Answer: 27*i**3 + i**2 + 2633*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = 7 - 5.1. Let m = 2 - s. Let z = 0.2 - -2.8. Which is the second smallest value? (a) 4 (b) m (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*m - a + 19, -2*a + 615 = -5*m + 622 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 978443, 978453, 978463, 978473?\nAnswer: 978483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = -13.9999999 + 14. Round z to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = 15*d**2 + d. Let m be b(-1). Let u = m - 10. Suppose u*t = -t. Is t bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*s - p + 19, 3*s + 2*p = 5*p - 3. Let t = 5 - s. Suppose -4*o - 10 = t. Which is the biggest value? (a) 2\/15 (b) o (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -111210200100 (base 3) to base 13\nAnswer: -96879","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 263166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -125*p - 77*p - 6309 - 2752 - 29 = 0 for p.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -1\/10, -1\/2, 3, -16\/9?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - k**3 + 1)*(1 - 4 + 4) + 75*k**3 + 31*k**3 + 47*k**3.\nAnswer: 152*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = -2119*f**2 - 93234*f + 97. Give h(-44).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(2\/3)\/o**(-8\/11))\/(o**(-1\/7)*o**42) assuming o is positive.\nAnswer: o**(-9347\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r = -17 + 32. Does 2 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(6*((0 + sqrt(343))*-5 - (sqrt(343)*-5 + 3)))**2*5.\nAnswer: 9720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 4, 0.4, 4616, -15?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 37 + -32 + 24 + 23 + -3\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 58591 (base 15) to base 5.\nAnswer: 33001021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1110110 - 11000010000110010?\nAnswer: -11000010010101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*y**3 - 141807280*y**2 - 283614545*y - 141807270.\nAnswer: -5*(y + 1)**2*(y + 28361454)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 139920 and 1584.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 45165697.\nAnswer: 45165697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 1010101 (base 2) to base 10.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.13407 - -0.1363282. Let b = -0.0022 + y. What is b rounded to 6 dps?\nAnswer: 0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 54*n**2 + 18 - 18.\nAnswer: 54*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -26 + w**3 + 724458264*w - 724458264*w.\nAnswer: w**3 - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = 2*b. Let p(n) = 7*n**2 - 2*n. Let m(d) = 5*d - 28. Let h be m(5). Let o(q) = -6*q**2 + 3*q. Let f(r) = h*p(r) - 2*o(r). What is f(z(c))?\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3175*k - 199*k - 2308*k + 1768*k - 3726*k.\nAnswer: -7640*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -0.02*-1.47\nAnswer: 0.0294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3572 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 414, 366, 318?\nAnswer: 270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -65 + 65 + 49361*g**3 + 4*g**2 - 7*g**2.\nAnswer: 49361*g**3 - 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is (-522)\/696*16\/42?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p + 9 = -d, -3*p - 9 = -191*d + 186*d. What is l in 0 + d*l + 2\/11*l**2 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(-1\/5)\/n)**(1\/21)*((n**3*n*n)\/n)**(2\/19) assuming n is positive.\nAnswer: n**(242\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = s + 2. Let j be k(2). Suppose -j*d = 5*l, -5*d - l - 4*l = 0. Which is the nearest to 1\/2? (a) -5 (b) -2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -269 + 1073\/4. What is the third biggest value in -4\/3, 2\/3, x, -17?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 11 - 17. Let l = y + 5.1. Let f = l + 0.881. What is f rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 246691?\nAnswer: 43, 5737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5*(67 + 377927\/(-5640)).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6045*u + 100357 - 16917 = -1873*u for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} {"text":"Question: Let y be (-2)\/(-1) - (-105)\/3. Suppose -o = -5*x - 119, 2*o - 29 = -3*x - 103. Let n = y - x. Is 19 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w - 2*w + 12 = 0. Let p(h) = h + 3*h**3 + 3*h**3 - w*h**3 - 1 - 5*h**2. Let b(m) = -2*m**3 + 3*m**2. Let l(d) = 5*b(d) + 3*p(d). Calculate l(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 57\/10 and 133\/138?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p = 172 - 147.689. What is p rounded to 1 decimal place?\nAnswer: 24.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 30898.\nAnswer: 2, 7, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 2541, 5138, 7735, 10332, 12929, 15526?\n\"Answer: 2597*n - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 37892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) be the first derivative of 1\/3*o**3 + 0*o - 3 + 0*o**2. Let f(z) = 281*z - 565*z + 260*z. Calculate w(f(l)).\nAnswer: 576*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3921745.\nAnswer: 5, 784349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -24 = -13*z + z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert -2221300 (base 7) to base 16.\nAnswer: -42f1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*r = 3*r + 1265. Calculate the greatest common divisor of 5 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 7878 and 15150?\nAnswer: 196950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -1 - -40.2?\nAnswer: 39.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v = 12922439648 + -12922439705.00000073. Let u = v - -57. What is u rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5768777018 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*c**2\/11 + 9098*c\/11 + 40964 = 0 for c.\nAnswer: -49, 4598","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 55877521727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 21? (a) -58\/23 (b) 0.04 (c) -14\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 26 divide 37852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is (-10)\/6*13\/((-260)\/48)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-33)\/15*(-7 + 2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = m - 2. Suppose 2*j = -j + 3. Let z(y) = 37 - 21 + 6 - 22 - y**2. Calculate j*x(i) - 2*z(i).\nAnswer: 2*i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u + 7 = 3. Let k = -153491\/1190 + 2175\/17. Let x = k + 8\/7. Is u less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 6, 2, 258 in ascending order.\nAnswer: 2, 6, 258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u and 1 c when two letters picked without replacement from {f: 2, y: 1, i: 1, u: 1, c: 2, d: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort 5993, -494, 47 in increasing order.\nAnswer: -494, 47, 5993","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 + (0 - (0 - 0)) + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 323*a - 1320 + 2896 = -1654 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 8846525?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {p: 3, i: 4, k: 10}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 695 and 1733608?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-5)\/4)\/((-1)\/12). Let d(z) = 13 + 0*z**2 + j*z - 2*z + 4*z - z**2. Is 3 a factor of d(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = i**3 - 7*i**2 + 3*i - 7. Suppose -o = -3*o + 14. What is the tens digit of a(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*l + 435 - 465 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 2655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o - 17 = -2*o. Let q(p) be the first derivative of p**4\/4 - p**3\/3 - p**2 + 17*p - 13. Let y be q(0). Calculate the highest common divisor of y and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((y**2*y*y)**(-1\/23)*(y**(1\/3)\/y)**4)**(-39))**(1\/15) assuming y is positive.\nAnswer: y**(2548\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z = -3086 + 3085.7. Let r = 3 - 2.9. What is the nearest to 1\/4 in z, 2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (10 + -6 - 5) + (1 - 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 184 and 1012?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x = 295.01 - 20.41. Let w = 244 - x. Round w to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2434?\nAnswer: 2, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u = -14 - -14. Suppose u = -8*v - 23 + 87. What is the smallest common multiple of 10 and v?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 76*j - 55*j = 42. Which is the third biggest value? (a) j (b) 37 (c) 1\/3 (d) 6\/5 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 356 + -186. Calculate the smallest common multiple of (11\/66)\/(38\/1368) and f.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2 < -0.056?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a - 39114 = -4*f, -60*f + 55*f + 48900 = -5*a. What is the thousands digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -694300 to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -518*b**2 + 159*b?\nAnswer: -1036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 233304 + -2123?\nAnswer: 231131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*t = 2*t - 3*b - 2, 0 = 3*t + 2*b + 14 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -4.6505995 rounded to 2 dps?\nAnswer: -4.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4 + 0*t - 2 - 13*t.\nAnswer: -13*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-4)\/24 + 398\/12. Let b(v) = 15*v**2 + 33. Let j(a) = -a**2 - 2. Calculate i*j(n) + 2*b(n).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose z + 7 = o + 2*z, 2*o = -5*z + 29. Factor 0 - 1\/5*l**3 - 1\/5*l**4 + 1\/5*l + 1\/5*l**o.\nAnswer: -l*(l - 1)*(l + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 192 + -202. Let s(l) be the third derivative of -25*l**4\/24 - 5*l**3\/3 - 4*l**2. What is the hundreds digit of s(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 211350 and 5475?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6013 divided by -148.\nAnswer: 6013\/148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((k*k*k\/((k\/((k**(-30)*k)\/k))\/k)*k*k)\/(k**8\/k))\/(k**(8\/3)\/(k**(-38)\/k)))**24 assuming k is positive.\nAnswer: k**(-1768)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*a - 5*s = 38, -31*s = -a - 36*s - 3 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 123440, 246076, 368714, 491354, 613996?\nAnswer: 736640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*z**2 - 3*z**4 - 7 + 4*z**4 + 0*z**4 + (-2*z**3 - 2*z**3 + z**3)*(z - 7*z - 3*z) to the form f*z + a*z**3 + m*z**2 + r*z**4 + i and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 1650 (b) 2 (c) -1\/12 (d) -2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -g**3 - 26*g**2 - 52*g - 8. Give k(-24).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.3 - -0.5. Let w be (-3)\/35*-1 + 0. Let a = w - -1\/5. Which is greater: a or b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 21 + 3\/6*-4. Let s = -5 + y. What is the third derivative of 6*r**3 - r**3 + 2*r**2 - 14*r + s*r wrt r?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r = 21 + 9. What is the third derivative of -2*f**r - 5 + 2*f**2 + 5 wrt f?\nAnswer: -240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -259 to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 5 (base 7) in base 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Determine x so that -3*x**3\/2 - 20237*x**2\/2 - 8615473*x\/2 + 2874073\/2 = 0.\nAnswer: -6289, -457, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.4 in -2\/9, -0.5, 4, 18?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 21100200101221 (base 3) to base 13\nAnswer: a6bcc4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*g - 5*g + g)*(g - 1742*g**2 + 877*g**2 + 870*g**2 - 5).\nAnswer: -35*g**3 - 7*g**2 + 35*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -111\/13815310 and -103\/10.\nAnswer: 13815310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -s**2 - 7*s - 10. Let c be r(-5). Suppose -4*o + 12 = -c*o. Suppose -2*b - 1 + 47 = -3*h, -5*h = -o*b + 67. List the prime factors of b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = -2*y - 4. Let f(a) = -2395*a - 3832. Let b(o) = -f(o) + 958*x(o). Let l(u) = 2*u. Give l(b(h)).\nAnswer: 958*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of ((-9)\/8)\/((-40)\/(-32)) and -37.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = 2*r**2 + 96*r - 302. Give i(-45).\nAnswer: -572","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f = -38 + 35. Let o be (-47)\/f + (-11)\/(-33). What is the first derivative of -o + 40 - 7*s**4 - s**4 wrt s?\nAnswer: -32*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (40649 + 6528 + 2300 - 937)*(-2 - 2 - z**2 + 1 + 2*z) to b*z + v + c*z**2 and give b.\nAnswer: 97080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -2043 + 42?\nAnswer: -2001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 14554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 11409\/13912 or 0?\nAnswer: 11409\/13912","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express (-2 + 3 - 3)*(-3 + 4 + 4 + 2 + 3 - 4 - 5 - 1 + 5 - 4 + 5 - 2 + (2 - 1 - 2)*(0 + 0 - 1) - 2 + 1 + 0)*(-10 + 10 + 8*a) in the form w*a + b and give w.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 425 - 625400?\nAnswer: -624642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 0.94 less than -0.18348?\nAnswer: -1.12348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (587*l**3 + 236*l**3 + l**2 - 27*l**3 - l**2)*(-3*l**2 + 4*l**2 - 4*l**2 + (0*l - 3*l + 2*l)*(l - 3*l + 4*l) + l**2 - l + l).\nAnswer: -3184*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 69785134.\nAnswer: 2, 2089, 16703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*h - 3*h. Let z = -19 + 27. Suppose -3*m + z*q + 10 = 3*q, -q = -2*m + 2. Solve h = b - m*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*d**5 - 3538*d**4 - 497110*d**3 + 500650*d**2 = 0.\nAnswer: -1615, -155, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-296)\/962 + 641\/13.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0754079 times -0.054?\nAnswer: 0.0040720266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 3743040 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4364 + j - 11*j + 15*j - 25*j - 4364.\nAnswer: -20*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*l**2 - 13*l**2 + 4*l**2)*(-539 - 2 - 4 - 8 - 444).\nAnswer: 11964*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 2 - 4a82337?\nAnswer: -4a82335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1829*c + 3659*c - 1829*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 - k + 3 - 3*k**2 + 6*k)*(3*k - 3*k - k)*(-24 + 9 + 3).\nAnswer: -36*k**3 + 60*k**2 - 12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 149\/39168 and -103\/42401536.\nAnswer: 381613824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*b + b - 3*g - 15 = -4, 0*b + 11*g = 3*b - 67 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 513454.9 rounded to the nearest 1000?\nAnswer: 513000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (54 - ((-32 - -65) + 1)) + 11?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 154 divided by 77.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 665585889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3427747283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 61 - 33233053?\nAnswer: -33232662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -u**4\/3 - 68*u**3\/3 + 4233*u**2 + 986258*u\/3 + 1921192\/3 = 0 for u.\nAnswer: -91, -2, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = 2*u - 0*v - 2*v, -u = 5*v + 10. Suppose -b - 2 = -2*t, 39*t - 40*t + 2*b - 2 = 0. Solve 3*f = -f - u*p - 7, -4*f + t*p + 14 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:47 PM and 8:31 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 231 minutes before 5:19 AM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2575 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = -y - 1. Let l be m(-6). Solve 6 + 4 = -l*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence td when two letters picked without replacement from tdetetdltddetdt.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1220 + 73*n + 332*n - 691*n.\nAnswer: -286*n + 1220","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u be (6 + -6)\/((1 - 3)\/2). Let x be ((-6)\/(-3) - 2) + u\/2. Suppose -5*j = -j + 4*d, 2*j + 8 = -4*d. Is x >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -58 + 9 + (34 - 12) + -6\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = -4549\/606 - -2\/303. What is the common denominator of (-84)\/10 + -2 - 1 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 297213 is divided by 566.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9*i**3 + 9*i**3 - 21*i**3 - 18*i**3 - 20*i**3.\nAnswer: -41*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Divide 1056591 by 6.\nAnswer: 352197\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = -8*h**3 - 3*h**2 + 2. Let x(z) = -7*z**3 - 2*z**2 + 1. Suppose -3*i = 15, -2*u + 14 = 77*i - 81*i. Determine u*b(p) + 4*x(p).\nAnswer: -4*p**3 + p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*t - 474 = 7*d - 500, 6 = -t for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nr when two letters picked without replacement from {r: 3, n: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = y + 5*l - 1160, 11*y - 8*y + l = 3550. What are the prime factors of y?\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 31 and 337639?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a - f = -7, 2*f + 3 = 2*a - 7. Solve -2*r + 4*j - 6 = 0, -3*j + 1 = a*r - 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.2? (a) -0.5 (b) -10\/9 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 19 and 16321.\nAnswer: 16321","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -618413 and 75?\nAnswer: 618488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 3\/5, 1\/2, 14, 32?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) be the second derivative of 85\/4*k**4 - 2*k + k**2 + 1\/6*k**3 + 0. Let t be r(3). Round t to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1856854 + -0.337053947?\nAnswer: -0.522739347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = i**3 + 5*i**2 + i + 6. Let q be b(-4). Suppose -q*n + 80 = -10*n. Suppose 219 = 4*c + 67. Calculate the remainder when c is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 108099, 216565, 325031, 433497?\nAnswer: 541963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 + -23 + 15 - (-7 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q - 2*c + 58 = 0, -2*q = 2*q - 4*c + 56. Let m(s) = -9*s**2 + 10*s**2 + 3 + 9*s + 5*s. What are the prime factors of m(q)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 0 + 3417275?\nAnswer: 3417275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 162 (base 9) to base 15.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(117) + 2*sqrt(117)*-2)\/(((sqrt(99) + (sqrt(99) - sqrt(99)*1) - sqrt(99)) + sqrt(99))\/sqrt(11))*-4.\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 3 > -1\/87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*t**3\/7 - 6*t**2 + 204*t\/7 - 216\/7 = 0.\nAnswer: -18, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor -5826*b**2 + 174776*b\/3 + 40\/3.\nAnswer: -2*(b - 10)*(8739*b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -d - 14. Let g(s) = -s. Let l(j) = -2*g(j) - v(j). Let b be l(-6). Let m be 576 + (-3)\/3*b. What is m rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5553799.\nAnswer: 5553799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor i**2\/4 - 75957*i - 151915.\nAnswer: (i - 303830)*(i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:36 PM and 3:19 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 63095 divided by -12619.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1 + 933*h**2 - 1017*h**2 - h**3 + 1 + 3*h**3 to the form q*h**2 + g + z*h**3 + b*h and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 11722346711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000000302778 to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 28383444 + 1457512\nAnswer: 29840956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x be 0 + 4 - (5 + (0 - 3)). Let s(t) = 0*t**3 + 18*t**x - 35 + 27 + t**3 + 6*t - 6*t**2. Let i be s(-11). What is the greatest common factor of i and 329?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 6, a: 6}. Give prob of picking 1 b and 1 a.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of h**2*t*x**3 - 256391*h**2*x**3 + 2*h*t*x**3 - 6*h*t*x**2 + h*t - 403*h*x + h + t*x**3 wrt h?\nAnswer: 2*t*x**3 - 512782*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -129*u**3 + 2*u**2 + 78*u?\nAnswer: -774*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 922 is divided by 159.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Work out -1.559795 + -3.\nAnswer: -4.559795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 91845.\nAnswer: 3, 5, 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -47*x**2 + 47*x**2 + 981 - 981 + x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-21)\/(-6) + (-2)\/(-4). Let w be 6\/4*g\/18. Let m be (2 - (-4 + 0))\/(-5). Sort m, w, 0 in ascending order.\nAnswer: m, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) be the third derivative of m**5\/30 - 7*m**4\/24 + 3*m**2. Let j be n(6). Suppose -d + 3*s + j = 2*d, -2*d + 8 = 4*s. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -105.6*-17587\nAnswer: 1857187.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -1863304 divided by 25?\nAnswer: -1863304\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 131911228 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -4234.05 times 24.2?\nAnswer: -102464.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -186.3 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -8 (b) -4 (c) 0.3 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -20020101 - -102?\nAnswer: -20013333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a = -d + 13, -3*d - 2*d + 45 = -5*a. Suppose 0 = 4*x + 3*p - 14, 5*x - 4*p - 1 - 1 = 0. Let b = d + x. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) -3 (b) -2 (c) 2 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -a**2 - a - 2. Let f be b(0). Let o be (-11)\/f + 3\/6. Let j = 13 + o. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = j**2 + 5*j - 10. Let i be v(-7). Find the common denominator of (-6)\/15 + 206\/40 and 1844\/220 + i\/(-22).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 112\/(-12)*(-36)\/16. Let q = 1 + z. Calculate the remainder when 61 is divided by q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 3, t: 1}. What is prob of sequence ti?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) be the first derivative of 1\/8*x**4 + 3\/4*x**2 - 2 + 1\/2*x**3 + 1\/2*x. Let k(d) = 0. What is d?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2 = 38*c - 39*c - 2*t, t - 1 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -23 = -v - 20 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -34, 68.3, 1\/6?\nAnswer: 68.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h = 108 + -76. Suppose 2*t = -0*t + h. Calculate the remainder when t is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) be the third derivative of -z**6\/10 + 13*z**5\/60 + 15*z**2. What is the third derivative of f(b) wrt b?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a + 2 = 8. Let f be 12\/(-9) - (5 - (-1075)\/(-165)). What is the closest to a in f, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t + 5 = -50. Let z(p) = -2*p + 52. What is the remainder when z(10) is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 357 + -356. Let x(u) = -2*u**3 + 1. Let s(l) = 5*l**3 - 5*l**2 - 2. Let p(d) = h*s(d) + 2*x(d). Determine p(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -0.0257016, 2.2 in decreasing order.\nAnswer: 2.2, -0.0257016, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n be 145\/(-2) + 15\/6 + -2. Calculate the common denominator of 121\/n + (-12)\/(-54) and 10\/57.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 33823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y be 5 + ((-370)\/(-15))\/(10\/225). What is d in -13 - 32*d - 893*d**3 + y*d**2 + 1156*d**5 + 13 + 298*d**4 - 1675*d**3 + 586*d**4 = 0?\nAnswer: -2, 0, 2\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = a**3 + a**2 - 3*a + 2. Let r(m) = -m**3 - 5*m**2 - m + 4. Let x be r(-5). Let l = 14 - x. Suppose -l*y = 4*v + 9 + 3, -12 = 3*y. Determine c(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 17951112167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b = -55 - -101. Suppose -z = 4*w + z - b, 55 = 5*w + 5*z. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -159 + (((-228)\/15)\/2)\/(1062\/(-2655))\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 32195 and 48410.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from tggtggggtggggggggt.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-136 - 54*w + 136)*(-2*w + 2*w + 4*w**2).\nAnswer: -216*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000002857594322 rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x = -2*u - 23, 2*x + 3*u - 15 = -37. Let o(f) = 17*f**3 + 5*f**2 + 5*f. Let l(c) = 324*c**3 + 96*c**2 + 96*c. Determine x*l(w) + 96*o(w).\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1.24 in 148\/15, -0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 568 minutes before 2:02 PM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -4, 353, -1, 0, -1983 in decreasing order.\nAnswer: 353, 4, 0, -1, -4, -1983","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*j**4 + 10 - 10)*((8 - 4 + 13)*(-3 + 3 - j) + 3*j + 1 - 1).\nAnswer: 28*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 4 + q)*(5*q - q - 2*q)*(4 - 3 - 4).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 212071 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put 5.4, 3\/2, 2\/5 in ascending order.\nAnswer: 2\/5, 3\/2, 5.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = 3*j**2 + 5*j + 5. Let i(g) be the first derivative of -g**3\/3 - g**2\/2 - g - 58. Calculate 5*i(h) + w(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -11 - (-23 + 28 + 18) - 18?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 132454189 and 721?\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 109.32342 milliseconds in minutes?\nAnswer: 0.001822057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = -38*l**2. Let t(a) = -2*a**2. Give u(t(g)).\nAnswer: -152*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = 6*u**2 + 7105*u + 21340. Give i(-3).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) be the second derivative of -3\/2*x**2 + 0 + x + x**3 - 1\/2*x**4. Let j(u) = -5*u**2 + 5*u - 2. What is 4*j(o) - 3*k(o)?\nAnswer: -2*o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = 2*i + 2*f, -4*i + 2*i = -f - 7. Suppose -3*t + 24479 = 4*m, -2*t = 3*m + i*m - 30590. Let r = -11716 + m. Round r to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-68)\/(-18) + 2\/9*1. Let j be (i + 1197\/6)*4. Suppose 6*u - j = -5*u. What are the prime factors of u?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 42915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 145082549 to the nearest integer?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i - 3*h + 68 = 0, -h + 4*h + 68 = i. Suppose i = 5*w + 3*l, -70 = -5*w + l - 6*l. Suppose -2*a = 5*z + 3*a, a - 4 = -5*z. Solve w - z = 4*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -9*2\/(-72)*52?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = 4*z**3 - 32*z**2 + 2. Let n(j) = 7*j**3 - 59*j**2 + 4. What is 3*n(x) - 5*u(x)?\nAnswer: x**3 - 17*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -7*i**2 - 2*i + 6. Let m(b) = -6*b**2 - 3*b + 6. Suppose 11 = -4*j + 4*u + 27, 5*u = j + 4. Let v(t) = j*m(t) - 5*s(t). Determine v(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*u - 40 = 2714*m - 2716*m, 4*m - 3*u = 36 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 18347, 18141, 17935, 17729, 17523?\nAnswer: 17317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c + 44 + 875 = 3*q, -2*c = -5*q + 1553. What is the greatest common divisor of 2575 and q?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1117767*m**3 + 1088171*m**2.\nAnswer: -6706602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: (-10)\/40*(156\/(-45) + 4)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z - 120 = -5*z. Let r = 27 - 43. Let b = z + r. What is the remainder when 40 is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 97\/26706 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put 0.5, -2\/597, 2\/11, 0, -2 in ascending order.\nAnswer: -2, -2\/597, 0, 2\/11, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand -64*f + 1 + 64*f - 12*f**2 + 0*f**2 - 3*f**2 + 5*f**2 + 2*f**2 - f**2 + 0*f**2 + (1 + 1 + 0)*(-2*f**2 - f + f) + f**2 - f**2 + 2*f**2 - 2 + 2 + 2*f**2.\nAnswer: -9*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 c and 1 t when three letters picked without replacement from {f: 4, o: 2, c: 5, t: 4, n: 2}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = -x**2 - 49*x - 571. Let c be v(-24). Let h(l) = l**2 - 20*l - 269. Determine h(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-4)\/(-5)*(-135)\/(-6). Let s be (h\/5)\/((-6)\/40). Find the common denominator of 89\/12 and s\/(-15) - (0 - 1).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*d**3 - 64266*d**2 - 192771*d.\nAnswer: -3*d*(d + 3)*(d + 21419)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -951 take away -20819?\nAnswer: 19868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z = 80.2 - 83.59. Round z to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 690196487 to the nearest integer?\nAnswer: 884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6)\/(-25) - 1091696\/4949150.\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -19123 - -57324. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -23 + 10. Let t = -12 - w. Suppose 2*m - 2*o = -16, -m - 2*o = 2*m - t. Let i(b) = -b**2 - 4*b - 2. Determine i(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 609 minutes after 3:11 AM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -6*g**3 - 3*g**2 - 4*g - 2. Let r be m(-1). Solve 3*p - 14 - 2 = -r*u, 2*p - 8 = -2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 53 and 14999?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = 11*g. Let f(o) = -1160843*o**2. Give f(b(x)).\nAnswer: -140462003*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3486?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.001 in 1\/2, -5, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 44863375 divided by 8972675.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p = -124 + 149. Let g = p - 13. What is the remainder when 31 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((c*c**(1\/2)*c)\/c**(-1\/4))\/(c*c*c**(1\/6)*c*c**(1\/4)))**29 assuming c is positive.\nAnswer: c**(-58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 40\/21 at least 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 40976.\nAnswer: 2, 13, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 212022010 (base 3) in base 4?\nAnswer: 10021122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = 3*q + 6. Let c(r) = 27 - 14*r + 4*r + 0*r + 11*r + 12*r. Let h(t) = 4*c(t) - 18*s(t). Let k(a) = 193*a**2. Give h(k(v)).\nAnswer: -386*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 94b (base 14) to base 3.\nAnswer: 2111211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*g = -0*g + 160. Round g to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 504056?\nAnswer: 2, 7, 9001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 10*n - 8*n - 498. Suppose -6*c + 171 + n = 0. What is the least common multiple of c and 5?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5378?\nAnswer: 2, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 1202 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = 7*t - 1. Calculate b(4).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -44 = -0*g + 4*g. Suppose 135*o = 140*o - 165. Let m = g + o. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = 3*w**3 - 9*w**2 + 5*w - 1. Let k(p) = 3*p - 3*p**2 - 4*p - 2*p**2 + 6*p**2 - p**3. Suppose -x = -4*x + 12. Let l(m) = x*k(m) + q(m). Give l(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3203?\nAnswer: 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = 15*q. Let z(j) = -7 + 8 - 1 - 3*j. What is l(z(u))?\nAnswer: -45*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*k + 4*r = 6, -17*r + 23 = 4*k - 18*r for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.022 + -103.978. Let o = z - -95. Let l = -8 - -5. What is the biggest value in o, l, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.2*7852.58\nAnswer: -1570.516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.1, -5\/2, 2\/5, 474, -3, -4\/9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = 2*g**2 - 3*g**2 + 0*g**2 + 4*g**2. Suppose 5 + 9 = 7*n. Let i(p) = 213*p**2 - 106*p**n - 109*p**2. What is i(a(f))?\nAnswer: -18*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = 3*n. Let i(c) = c - 4. Let z(f) = f - 7. Suppose 2*d - 5 - 8 = b, -3*d + 9 = 0. Let o(m) = b*i(m) + 4*z(m). What is g(o(j))?\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 3, a: 5}. Give prob of picking 1 a and 3 p.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose y = -y. Suppose y = 2*c + 3*h - 1059652 - 3010545, -3*c + 3*h + 6105318 = 0. Suppose 4*p + c + 16364897 = 0. Round p to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 13 + -17. Let q be ((-212)\/6)\/(d\/(-6)). Let k = q - -79. What are the prime factors of k?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 7394*i**2*l**3 + 216*i**2 - 4*l**3 - 13968*l**2 + l - 16 wrt i.\nAnswer: 14788*i*l**3 + 432*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4750.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*j**4\/5 + 12*j**3\/5 + 14*j**2\/5.\nAnswer: -2*j**2*(j - 7)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) be the first derivative of -6 + c**2 + 131\/8*c**4 - 76\/5*c**5 - 20\/3*c**3 + 4*c**6 + 0*c. Find b such that g(b) = 0.\nAnswer: 0, 1\/4, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = 7*t. Let s = 349 + -352. Let l(a) = -a + 0*a + 3*a. Calculate s*j(o) + 8*l(o).\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -19*u + 57*u - 19*u - 17*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -35 + -27 + (-63 - -119)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 49344 divided by -6?\nAnswer: -8224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 282 and (-72)\/(-1 + 10) - -7 - -139.\nAnswer: 6486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = 2*h**2 + 106 + 8*h + 113 - 219. Determine a(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from qrqqrqrqqqqqrqqqqqq.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-5 + -6 + -59)\/(-2). Suppose i*t = 23*t + 1740. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose w + 96 = -4*t, 5*t + 233 = -3*w - 27. Let a = w - -69. Which is smaller: a or -7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 449730 divided by -3?\nAnswer: -149910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q be (3\/(-5))\/(9 + 1 + -9). Let m be 0 + (-1)\/(14\/4). What is the closest to 0.1 in m, q, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = -5*c. Let q be o(2). Let r be -5 - (-3 - -4)\/((-1)\/2). Sort r, q, -4 in decreasing order.\nAnswer: r, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 240.1 (b) 0.2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1753 is divided by 211.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v = 175 - 35. List the prime factors of v.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 15933600 and 39840.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 126*w**2 - 3*w**4 + 10*w**3 - 126*w**2 - w + 3*w + 1 - 22*w**4 to h*w**3 + j + i*w + q*w**2 + s*w**4 and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.04 - 4.04. Let s(p) = p**2 - 1. Let t(w) = 3*w**2 - 2*w - 1. Let i(n) = 4*s(n) - t(n). Let q be i(-3). What is the closest to q in b, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = a**3 + 6*a**2 - 6*a + 26. Determine j(-7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 2.258698 years?\nAnswer: 0.2258698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 5413488 and 144?\nAnswer: 16240464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rfq when three letters picked without replacement from {q: 1, r: 1, p: 2, f: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 12416411 to the power of 1\/2, to the nearest integer?\nAnswer: 3524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -m**2. Let p(r) = 42*r - 21092. Determine p(w(k)).\nAnswer: -42*k**2 - 21092","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2061 - -7206. List the prime factors of k.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -3*p**2 - 91*p + p**2 + 91*p. Let k(v) = 5*v**2 - 31*v + 31*v. Calculate h(k(w)).\nAnswer: -50*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 440022341 - -10143?\nAnswer: 440033034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = 41265*j - 9398. Is p(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-25)\/(-110)*(-16)\/(-20).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = -837 + 4883\/6. Let q = -2002 - -8071\/4. Calculate the common denominator of q and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 181141?\nAnswer: 181141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) be the first derivative of l**8\/4480 - l**7\/280 - l**6\/96 + l**5\/40 + 9*l**4\/64 + 66*l**3 - 105. Let g(s) be the third derivative of f(s). Factor g(i).\nAnswer: 3*(i - 9)*(i - 1)*(i + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + -2*sqrt(99) - ((2 + sqrt(99))*2 + sqrt(99) - sqrt(99))**2) + (sqrt(99)*1 + -4 + sqrt(99) + 4 + -3)**2.\nAnswer: -90*sqrt(11) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 244920719 to the nearest integer?\nAnswer: 15650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 872.7272 millimeters in centimeters?\nAnswer: 87.27272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((q**(-2\/7)\/q**(-4\/5))**(-15\/11))**(-10\/21))**41 assuming q is positive.\nAnswer: q**(7380\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) be the first derivative of -17*i**2\/2 - 13*i - 108. Let u(w) = -8*w - 6. Suppose 5*o - 65 = -35. Calculate o*k(d) - 13*u(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 26853 is divided by 5370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) be the second derivative of i**7\/210 + i**6\/72 + i**3\/3 + 4*i. Let l(d) be the second derivative of b(d). Find the third derivative of l(o) wrt o.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -3*g**2 + g + 3. Calculate q(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 47\/181038 and 111\/88.\nAnswer: 724152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-3)\/(-2)*3480\/63. Let q = 3277\/42 - o. Calculate the common denominator of (-3)\/(12\/70) + -1 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 28 and 40.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 358, 361, 364, 367, 370?\nAnswer: 373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 497 is divided by 70.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(sqrt(68) + sqrt(68) + -2 + 4) - ((-6*2*sqrt(136))\/sqrt(8)*6)**2.\nAnswer: -88122 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -5*o + 12. Let q be s(4). Suppose 0 = 4*d - 4*n - 48, -d - 2*d + 28 = n. Let h = d + q. Solve -h = z - 6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000669216 to 6 dps.\nAnswer: 0.000669","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hqqc when four letters picked without replacement from qbbhqjhqqcbcbhbjh?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u*u**1)\/u*u\/(u**4*u*u)*((((u\/u**(2\/9))\/u)\/u)\/u)\/((u*u**(-1\/7))\/u*u) assuming u is positive.\nAnswer: u**(-446\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g = 633 - 349. Let t = g + -236. What is the lowest common multiple of 4 and t?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 44751 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 83 divide 1956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 68747.39ml to litres.\nAnswer: 68.74739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*r - 508 - 238. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -a**3 - 4*a**2 + 6*a - 2. Let u be b(-6). Suppose -i + 2*i = 4*j - 19, 4*j - u = -2*i. What is the remainder when 100\/6 + (-4)\/6 is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 616879 and 323.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 438296 - 1443.\nAnswer: 436853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Work out 2 * -552784.\nAnswer: -1105568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h = -8 - -5. Let i = -8.1809 + 7.724. Let q = -0.0431 + i. Put h, q, 0.4 in decreasing order.\nAnswer: 0.4, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 5 + 746?\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-11)\/(-6))\/(93\/(-1085)*(-112)\/288)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -185 (base 10) in base 11?\nAnswer: -159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 66192 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide -2 by 1305097.\nAnswer: -2\/1305097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (2616\/(-15))\/(4\/60*-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 27250 + -13?\nAnswer: 27239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = -i**5 + i**4 - i**3 + i**2. Let v(m) = -m**5 - 2*m**4 + 2*m**3 + 2*m**2. Let b(j) = 2*p(j) + v(j). What is the third derivative of b(l) wrt l?\nAnswer: -180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((1 + 0 + 0)*(-2*f + 2*f - 2*f**2) + 3*f**2 - 5*f**2 + f**2)*(-f + 2 - 2)*(-261*f - 480*f - 271 + 273).\nAnswer: -2223*f**4 + 6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 741903 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose r + 3*u - 1281 - 1301 = 0, r - 2*u = 2577. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-307414)\/19145 - (-15 + -1)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 196409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y - 977 = -5*v - 395, 0 = 4*y - 24. What is the remainder when 2159 is divided by v?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 86170?\nAnswer: 2, 5, 7, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = 17*u**2 - 60*u + 48. Let d be x(1). Let l = -2 + 1.3. Let z = l - 0.3. Which is the closest to z? (a) d (b) -2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xikiiikiiixii. What is prob of picking 2 k and 2 i?\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 7 or 222\/35?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) be the second derivative of 3*w + 1\/6*w**3 + 0 + w**2 - 3\/16*w**4 + 1\/30*w**5. Let z(s) be the first derivative of i(s). Factor z(a).\nAnswer: (a - 2)*(4*a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9518 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*g**2 + 18*g + 72 = 0 for g.\nAnswer: -3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = -p**2 + 5*p + 15. Suppose -3*v = 4*q - 2*q, q = -v. Let y be l(v). Is (0 - 5\/y)\/((-1)\/10491) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*g*r*x**2 + 2*g*r - 85*g*x - 2*r*x**2 + 4601*x**2 wrt x.\nAnswer: 4*g*r - 4*r + 9202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 618 minutes after 6:16 PM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 113574095 is divided by 3699.\nAnswer: 3698","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -93, -194, -301, -414?\n\"Answer: -3*s**2 - 92*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k be -17 + (13 - (-18 - -16)). Let l be ((-10)\/6)\/(3\/(-9)). Suppose l*d + 12 = 2*d. Sort -5, 0, d, k in decreasing order.\nAnswer: 0, k, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from sofshqfsgssof. Give prob of sequence hss.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xxxaxxxaxaaaaa. What is prob of sequence xaa?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s = -7 + 8. Suppose 0 = -4*f - s + 17. Let r = f - -1. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -49*i - 51*i + 1215*i - 50*i - 53*i - 1018*i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) be the third derivative of -k**7\/14 - 19*k**4\/24 - 39*k**2. What is the second derivative of t(l) wrt l?\nAnswer: -180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand b**3 + 1 - 1 + (b**2 + 3*b - 3*b)*(2*b - 2 + 2) - 12*b**3 - 3 - 5 + 3.\nAnswer: -9*b**3 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = -d**3 - 2*d - 4. Let i be x(-6). Let k = i - 131. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*f - 86 + 71 = -5*x, -f = 2*x - 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.79*4.19.\nAnswer: -3.3101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 821268 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: Does 30 divide 54180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -14, 3, 2, -4, 1, -1, -279 in ascending order.\nAnswer: -279, -14, -4, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express 9784 - 2*f**2 - 9784 + 13*f in the form a + v*f**2 + p*f and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*u + 224 - 224)*(-12*u**2 - 16*u**2 + 26*u**2 - 6) + 3*u**3 + 3*u**3 - 2*u**3.\nAnswer: 12*u**3 + 24*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 - (-74 - -24 - -19).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*s + 73 = 2*c + 51, -5*s - 1368*c + 1367*c + 14 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-8 - 35 + 7)*(-24*m**2 + 66*m**2 + 38*m**2) to h*m + b + d*m**2 and give d.\nAnswer: -2880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -74519 times -0.5\nAnswer: 37259.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 498 is divided by 214?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = 39*j**2. Let u(f) be the second derivative of 7\/6*f**3 + 0 + 0*f**2 - 151*f. What is w(u(z))?\nAnswer: 1911*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 103\/1128 and 107\/1512?\nAnswer: 71064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*-1*((sqrt(612) - (sqrt(612) + 2))*-1 + (sqrt(612) - 4*(sqrt(612) + (sqrt(612) + 1 - sqrt(612))**2)))*6.\nAnswer: -324*sqrt(17) - 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9001770.\nAnswer: 2, 3, 5, 61, 4919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 31.1 (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -22\/507 and -23\/33124.\nAnswer: 99372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: (-5*6\/(-1200)*-30)\/((-17)\/(-16))\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify g**(6\/13)\/g*g\/g**6*g*g*g**(-6)*g**(2\/3)*g assuming g is positive.\nAnswer: g**(-307\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.08455 - 27.08205. Let l = 14 + -41. Let n = u - l. Round n to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = 10*j - 54. Let i be q(5). Is (4\/(-4))\/(i\/1612) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((2*k + 0*k - k)*(3*k + 3*k - k) + 9 - 9 + 2*k**2)*(4 + 1 + 30).\nAnswer: 245*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q = -170 - -206. Suppose -5*u + q = -11*u. Let z(c) = -4*c + 5. Give z(u).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 175029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = j**2 + 17*j + 1. Determine o(-16).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {y: 3, e: 3, l: 3, x: 1}. Give prob of picking 2 y, 1 e, and 1 l.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-24)\/10*(2 - -3). Let r be (-9)\/54 - 2\/x. Let t(f) = -f**2 + f + 6. Determine t(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 448 minutes after 1:49 PM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 54 divide 435250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -50*k + 120*k - 9 + 99*k**2 - 190*k**2 + 93*k**2. Give g(-35).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k\/k**(-14)*k)**(32\/3)*k\/(((k\/(k\/(k*(k*(k*k**(-2\/7))\/k)\/k)*k))\/k*k)\/k)*(k*k**(-10))\/k assuming k is positive.\nAnswer: k**(3422\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i and 1 n when two letters picked without replacement from {n: 1, s: 5, g: 1, c: 1, k: 1, i: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y be 17 + 0 - (9 + -6). Let l(j) = 27*j + 8*j - y*j. Let p(z) = -2*z. What is p(l(w))?\nAnswer: -42*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*a**5 + 7735*a**4 + 2995370*a**3 + 2979910*a**2 - 2995375*a - 2987645 = 0.\nAnswer: -773, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = -2*a**2 - 9*a - 8. Let d be h(-4). Let j(f) = f + 2. Let v(c) = 4*c + 6. Let z(k) = 7*j(k) - 2*v(k). Let p be z(d). Solve i = p*i - 15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 2637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-165)\/(-12) - (-3)\/(-4). Let w be 6\/(-2) + 5 + 4. Suppose -b = -w - d. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (2\/(-1) - -4)*1. Suppose -m = -0 + p, -m = -4*h + 34. Let t = h - 0. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = -3*v - 43. Let u be q(27). Let k = u + 285. List the prime factors of k.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3*14\/168*66)\/(-2*(-5)\/20).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:02 AM and 2:30 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 11873843357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 136 divide 3914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is (7 + 12 + -16 - (10 + 0)) + -7?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = 4*o. Let v(x) = -1825036*x**2. Give r(v(d)).\nAnswer: -7300144*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Divide -1 by 1782.\nAnswer: -1\/1782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = -2343*o - 342. Let i(y) = -469*y - 71. Give -24*i(b) + 5*v(b).\nAnswer: -459*b - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-8)\/10)\/(66\/165)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = n + 5. Let j be v(-3). Let z(s) = -3*s**2 - 4*s**2 - s**j. Let b(p) be the first derivative of -2*p**3\/3 - 269. Calculate b(z(l)).\nAnswer: -128*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = k - 6. Let d be z(6). Suppose d = -2*v + 12 + 42. Suppose -6*o + 3*o = -v. Solve -29 = 5*h - o for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -1960, -3881, -5716, -7423, -8960?\n\"Answer: 7*u**3 + u**2 - 1973*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m - 5*l - 45 = 0, 21 = -5*m + 3*l - 2*l. Suppose y - 8 = -y. Suppose 12 = -4*x + 2*o, 2*x - o - 6 = y*x. What is the closest to 1 in x, 0.4, m?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (280\/(-1750))\/(414\/(-75))?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 105174?\nAnswer: 2, 3, 5843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = w**2 + 3*w - 31. Determine d(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose b + 15 = -3*y + 51, -5*b + 2*y + 129 = 0. Suppose -b = -i + 13. Suppose -a - a - 4*g + i = 0, 2*g = 10. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1393)\/398)\/(35\/(-380))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 171 and 4617.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = -2*q, -2*q + 12 = 5*b - 46. Suppose 9*r = 11*r - b. Solve -4*d + 3 + 5 = 3*w, r*w + 6 = 3*d for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -4 - 206bb?\nAnswer: -206c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -0.001554 rounded to four decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Divide -24354 by -369.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 73 a factor of 3129583?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -0.8, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -5*w**3 + 21*w**3 - 35*w**2 - 53*w**2 - 4*w - 4 + 8*w + 94*w**2. Let x(s) = -17*s**3 - 7*s**2 - 5*s + 5. What is 4*x(i) + 5*z(i)?\nAnswer: 12*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -27*t + 61*t + 3 - 3.\nAnswer: 34*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1346273*x**4 + 949631 wrt x.\nAnswer: 5385092*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + sqrt(847) + 1 + -2 + 0.\nAnswer: -4 + 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 90928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1557 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.12 - 0.18. Let f = -2264\/7 - -324. What is the nearest to h in f, 2\/19, -2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 71, 633.98, 0.3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = -2*b - 11. What is q(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 101\/444 and 13\/888?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 14, 25, 38, 53, 70, 89?\n\"Answer: t**2 + 8*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = a**2 - 4*a - 2. Give s(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:34 PM and 3:59 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n + 4*b - 1 = 0, -2*n - 5*b = -3*n - 2. Let v(f) be the second derivative of f**3\/6 + f**2\/2 + 2*f. Calculate v(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 144761495.\nAnswer: 5, 983, 29453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (13 + 2 - 5)*(-16*v**2 - 9*v**3 + 16*v**2).\nAnswer: -90*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Product of 7289 and -0.31.\nAnswer: -2259.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 16480 and 640.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -16 + (-6 - -5) + 11.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 62 minutes after 3:45 AM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2174.\nAnswer: 2, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t = -109\/3 + 37. Let v be (26\/(-6))\/((-12)\/(-36)). Let z be (v\/(-7) - 2) + 0. What is the biggest value in z, t, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*z + 0*z = -3*j - 36 - 7, 3*z - 120 = 5*j for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*l = 6 - 6. Let j(f) be the third derivative of 1\/20*f**6 + 0*f**4 + 0*f**3 + l*f**5 - 3\/28*f**8 + 0*f - 7*f**2 - 1\/14*f**7 + 0. Factor j(w).\nAnswer: -3*w**3*(3*w + 2)*(4*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = 5*z - 3*z - z. Let h be 3\/(-6)*2\/(-1). Let f be x(h). Put 0, -2, f in decreasing order.\nAnswer: f, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000071843015 to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find s, given that -2*s**5\/9 - 98*s**4\/9 - 266*s**3\/3 + 9698*s**2\/9 - 16600*s\/9 + 2600\/3 = 0.\nAnswer: -30, -26, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -6*n**2 + 114*n - 85. Calculate the remainder when 393 - -4*3\/(-4) is divided by g(18).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from bbssssbososssbossso. Give prob of sequence oso.\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h be 2\/(-2) - 28\/6. Let m = h - -7. Let j = 77 - 387\/5. What is the closest to -0.1 in m, 2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*l - 3*v + 19, 5*v - 16 = -5*l + 3*v. Suppose 4*u - 30 = -5*d - u, l*u + 21 = d. Calculate the greatest common factor of d and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1859.57 rounded to the nearest ten?\nAnswer: -1860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000031744971 rounded to 7 dps?\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y = 34 - 20. Is y a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 348120 divided by -3.\nAnswer: -116040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -6286, -22972, -50754, -89608, -139510, -200436, -272362?\nAnswer: -355264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 18521 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-6)\/(2 + 0\/6). Let o = 13 - 5. Let j = o - 5. Sort s, 5, j.\nAnswer: s, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(-4*((1 + sqrt(1331))*-6 + sqrt(1331) + (-1*sqrt(1331) - sqrt(1331)) + 4 + sqrt(1331)))**2.\nAnswer: 8448*sqrt(11) + 1533440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m = 20 + -25. Let o be (-46)\/m + 7\/(-35). What is the greatest common factor of o and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine o so that -25*o**5 + 241180*o**4 - 582786305*o**3 + 5346439910*o**2 - 12543760620*o + 8360193960 = 0.\nAnswer: 6\/5, 2, 6, 4819","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 31\/2 of a century?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(77)*1*-1 + sqrt(77) - (1*(sqrt(77) + (sqrt(77) - (sqrt(77) + -1*sqrt(77))) - sqrt(77)) + sqrt(77) + sqrt(77)))\/((2*sqrt(567) + sqrt(567))*6)*-6.\nAnswer: sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (6*4\/9)\/14*-3.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -620*x. Let z(m) = 5*m**2 + 12*m - 6. Let w(s) = -12*s**2 - 28*s + 14. Let b(q) = 3*w(q) + 7*z(q). Calculate b(y(k)).\nAnswer: -384400*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) be the first derivative of r**3\/3 - 2*r**2 - 2. Let y = 88 + -83. What is g(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1)\/(-7)*14\/20.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12\/(-16)*-4 - -2744.\nAnswer: 41, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -19\/3 in 5, 0.2, 19, 31?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j be 4*5\/(-130) + (-804)\/(-156). Let h(y) = 27*y**2 - 3*y - 2. Let k be h(3). Suppose -t = -j*t + k. What are the prime factors of t?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:04 PM and 10:57 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-k + 3*k + 0*k)*(5 + 0 + 10).\nAnswer: 30*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 4\/7 bigger than 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 31458 and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 0.3, 0, -5, 180?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -598, -4842, -16382, -38866, -75942, -131258, -208462?\n\"Answer: -608*f**3 + 12*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000053028 rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -3*h - 11*h**3 - 8*h - 9*h**2 - 2 - 11. Let w be (-5 - 108\/(-20)) + 22\/(-5). Let q(c) = -5*c**3 - 4*c**2 - 5*c - 6. Calculate w*a(g) + 9*q(g).\nAnswer: -g**3 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -1158, -1150, -1136, -1116, -1090, -1058, -1020?\n\"Answer: 3*u**2 - u - 1160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(-3*((2*sqrt(171) - sqrt(171)) + -4 - -6*(-1 + sqrt(171))))**2.\nAnswer: -457866 + 22680*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = -4*s**2 + 105*s + 83. Let x be l(27). Solve d = -x*b + 4*d - 3, d + 3 = 2*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -9410302, -18820600, -28230898?\n\"Answer: -9410298*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Determine p so that -3*p**3 + 1335363*p**2 - 148600196160*p + 148598860800 = 0.\nAnswer: 1, 222560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find b such that 39*b**2 - 150*b - 24 = 0.\nAnswer: -2\/13, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -8256, -7660, -7060, -6456, -5848?\n\"Answer: 2*c**2 + 590*c - 8848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = k + 2. Let r be j(5). Suppose 6*l = r*l. Solve o + 7 = 2*n, 3*n + l*o - 3*o = 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-90 - (-20 - 16)) + 21 - -3?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -3 * 97064\nAnswer: -291192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -255 - -255000?\nAnswer: 254412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*i - 2*u + 5*u + 42, i = -2*u + 21. Suppose -i + 2 = -y. Let f = -17 + y. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 17\/2 of a milligram in micrograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 475 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 20491681.\nAnswer: 7, 17, 172199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 100851 is divided by 368.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:20 PM and 11:47 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 10, -2, 1, -5, 163, -1 in increasing order.\nAnswer: -5, -2, -1, 1, 10, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (10\/15)\/(2\/96)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -18*u - 32 = 166 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o - 5*u = -17 - 5, 18 = -3*o + 3*u. Are o and -5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11689 to the power of 1\/2, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a = -233 + 339. Calculate the remainder when a is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -11*z - 87. Let l(f) = 18*f + 174. Let h(b) = 5*i(b) + 3*l(b). Let j(y) = -2*y. Determine h(j(u)).\nAnswer: 2*u + 87","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v = 7621 + -7406. What is the remainder when v is divided by -18*(-1 + 3\/(-6))?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {v: 8, h: 3}. What is prob of picking 3 v and 1 h?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 562555 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*c - 15 = 6*c. Suppose 3*h - c = 3. Suppose 2*a - d - 89 = -h*d, 46 = a - d. Calculate the remainder when 88 is divided by a.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1856)\/(-348)*30\/8.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = 3*m**2 + 4. Let w(z) = 2*z**2 + 3. Let q(k) = 3*s(k) - 4*w(k). Let j(t) = -3*t**2. Calculate j(q(r)).\nAnswer: -3*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1080)*-2)\/((sqrt(120) + 2*sqrt(120))\/sqrt(12)) - -6*(0 + sqrt(75) + (sqrt(3) + sqrt(48)*-6 - sqrt(3))))**2.\nAnswer: 41772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 229911889.\nAnswer: 421, 546109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put -6, -1\/6, -1 in descending order.\nAnswer: -1\/6, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v = -9 - -8.3. Let k = 0.32 + -0.02. Let a = k - v. What is the third smallest value in a, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.769062 months to decades.\nAnswer: 0.00640885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 9543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5)\/6*39\/(-130).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -10534, -49240, -87948, -126658, -165370, -204084, -242800?\nAnswer: -281518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) be the third derivative of -43*f**5\/60 - 1401*f**2. Let k(j) be the first derivative of 3*j**2\/2 - 2. Calculate k(p(b)).\nAnswer: -129*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-330)\/(-297) - (-639)\/81?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 41 = 6*d + 335. Is (d\/14)\/(2\/(-292)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/5 in 1, -0.2, -418?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -938 - 5?\nAnswer: -941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) be the third derivative of 617*m**7\/70 - 5*m**4\/24 - 29*m**3\/6 + 1960*m**2 + 2. Find the second derivative of r(u) wrt u.\nAnswer: 22212*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -28322965 divided by 781.\nAnswer: -36265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j = 30 + -39. Round j to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c = c - 5*m + 16, 0 = -5*c + 4*m + 39. Let z(s) = -s**3 + 6*s**2 + 7*s + 8. Let n be z(c). Let o = n - -19. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 19 + 26. What is the greatest common factor of 5 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 201932201310.8 take away 1.5?\nAnswer: 201932201309.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*n**2 - 80860*n + 41349000 = 0.\nAnswer: 525, 19690","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 152*x - 174*x. Let n(d) = -14*d - 2. Give n(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5\/2, -0.3, 36, -5, -12, -2\/15 in decreasing order.\nAnswer: 36, -2\/15, -0.3, -5\/2, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f be (4\/10)\/(3\/15). Let g be 0 + f + (3 - -1). What is the third derivative of -g*x + x**3 + x**2 + 6*x wrt x?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v + 3*n = 14, 3*v = -2*n + 7*n - 22. Let m be (60\/(60\/(-4)))\/(2 + (3 - 4)). Put 17, m, v in descending order.\nAnswer: 17, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 108\/(-14) + ((-220)\/35 - -6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 10458604 to the nearest integer?\nAnswer: 3234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 2955887927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 800078?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -856 = -w - 3*q, -2*w + 61*q - 56*q = -1657. Which is greater: w or 2522\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27*b - 67*b = -68480. List the prime factors of b.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 + n)*((-5 + 4 + 3)*(-4 + 2 + 1) + 127 - 51 + 0).\nAnswer: 74*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d = -6309 - -6391. Calculate the greatest common factor of d and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = 919259*l + 5515558. Give d(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 92 is divided by 29.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -2722*q. Let j(o) = o. Give j(r(b)).\nAnswer: -2722*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*sqrt(39)\/sqrt(3)*-6.\nAnswer: 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 5, -1\/5, 228\/395?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 2, 1\/3, -0.92?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r = -36 + 40. Suppose -r*q + 3570 = -9890. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 13376 and 57.\nAnswer: 40128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1383379 is divided by 12152?\nAnswer: 10203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mx when two letters picked without replacement from {d: 1, x: 2, c: 1, m: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*w + 12 - 82. Let n = 4 + -1. Suppose n*d + d + 43 = 5*c, 5*d + 10 = 0. Calculate the greatest common factor of w and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 7240 + -75501\/10. Let j = p - -305. What is the common denominator of -10\/3 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -i**3 + 32*i**2 + 116. Calculate the lowest common multiple of a(14) and 16.\nAnswer: 14576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*s + 3*s - 6 = 0. Let z be 5*-2 - (19 - 64*(-15)\/(-30)). Solve -3*n + s*u = 4, 0*u + 21 = z*n + 3*u for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -53 take away -12563.44812?\nAnswer: 12510.44812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f = -91 + 107. Let k(l) = l + 9. Calculate the remainder when f is divided by k(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 32003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 14080 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: Let a = 32.2 + -34.2. What is the nearest to a in 2\/13, 7, 5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*n - 6*i - 18 = -5*i, 0 = -5*i - 10 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4878948 is divided by 1091?\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1258408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1777, -3551, -5309, -7051, -8777, -10487, -12181?\nAnswer: -13859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ypq when three letters picked without replacement from ppwwwywwwwwpqwyw?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z and 2 x when three letters picked without replacement from {z: 7, x: 2, g: 7}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y + 0*r = 2*r - 16, -16 = -2*y + 3*r. Suppose -y*m + 2*m = -108. Does 19 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify w**(2\/17)\/w**(-1\/11)*(w\/w**6)\/(w\/(w**8\/w*w)) assuming w is positive.\nAnswer: w**(413\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1776 and 23070573.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q = 8.8 - 8. Let l = q + -0.8. Which is the third biggest value? (a) -0.1 (b) l (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 258*g**2 - 339*g - 361*g + 4 - 6 + 634*g wrt g.\nAnswer: 516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 535 minutes after 1:36 AM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.09 - -0.99. Let o = r + -0.2. Let k = o - 0.9. What is the nearest to -2\/3 in 5, k, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) be the first derivative of -h**6\/45 + h**5\/30 + h**4\/9 + 6*h + 3. Let w(m) be the first derivative of y(m). Solve w(f) = 0 for f.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 204 is divided by 1\/(21\/98)*9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 523526*n**2 - 32*n + 1470 wrt n.\nAnswer: 1047052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 8*w**3 + 640*w**2 + 60089 wrt w?\nAnswer: 24*w**2 + 1280*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh biggest value in 5, 1\/5, -0.07, -21, -0.01, 4\/21, 70?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 4065.61 kilometers in meters?\nAnswer: 4065610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**9*x*(x*x*x**0*x)\/x)\/((x\/x**4)\/(x**16\/x)))**(-25\/6) assuming x is positive.\nAnswer: x**(-125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2662488 and 888?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express 7*d**4 - 9*d**3 - d**4 + 8*d**3 - d in the form x*d**3 + y*d**4 + z*d + i + l*d**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 67031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -8 + 6 - 11 - o. Let v be t(-9). What is the units digit of ((-30)\/v)\/(9\/12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 213*u**3 + 3*u**2 + 3*u. Let x be r(-2). Let v = -17101\/10 - x. What is the common denominator of 7 - (-148)\/24 - (-15)\/(-5) and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-8)\/(-48) - 3026\/12. Let x be a\/(-15)*10\/3. What is the greatest common divisor of x and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3800243?\nAnswer: 137, 27739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 1.1 + -77297\nAnswer: -77295.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 25147 = -12296*v - 64402 - 70299 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 221843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 4 = 14. Let d = 20 - o. Suppose 3*t + 57599988 = -v - 3*v, -d*t - 14399992 = v. What is v rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -46.1611 to one decimal place.\nAnswer: -46.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s = -71 - -70.911. What is s rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = 14950*c - 239146. What is j(16)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = d**2 + 18*d + 13. Let y be c(-17). Suppose 0 = -2*p + 1 + 5. Sort 0, y, p, -2 in descending order.\nAnswer: p, 0, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 19346?\nAnswer: 2, 17, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 8 and 50488.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -43*u - 51*u + 564 = 0 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 450?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l = 112911 - 59966. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = 8*o + 9. Let n = 102 - 93. Suppose -5*b + n = -46. Let h(j) = 3*j + 3. Give b*h(s) - 4*p(s).\nAnswer: s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((x*x\/x**(2\/3))\/x*x)\/(x\/((x*x**(-4\/15)*x)\/x*x))*(x*x**(-1\/2))**(-1\/46))**(-17\/5) assuming x is positive.\nAnswer: x**(-48229\/6900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 3*a**3 + 1726402*a**2 - 12544102?\nAnswer: 9*a**2 + 3452804*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 3.654395 milliseconds in microseconds?\nAnswer: 3654.395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 147199 is divided by 16199.\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 2, u: 8, e: 1, b: 3, l: 5}. Give prob of sequence ru.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 532223 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: What is the next term in -1021, -1038, -1081, -1162, -1293, -1486, -1753, -2106?\nAnswer: -2557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*b - 3*a - 8 = 0, 14*b = 19*b + 2*a + 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0004126 to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 4336047784 or 4336047785?\nAnswer: 4336047784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3 times 73889?\nAnswer: -22166.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 17 a factor of (-2)\/11 - (-21905)\/143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = 4*q - 25. Let o(p) = 2*p - 9. Let c be o(q). Suppose 2*h + c = 3*h. Is h a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 487.2, 1\/6, 0.49, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*l + 2 - 2 + (-334 - 22*l + 334)*(-382 + 126 - 184) to i*l + d and give i.\nAnswer: 9678","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 663 minutes after 11:57 PM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v = -24 - -23.95. Are v and -2\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -1798*v**2\/7 - 91802*v\/7 - 5304\/7.\nAnswer: -2*(v + 51)*(899*v + 52)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c = -1686 + 644. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3*(-1)\/36)\/((13\/(-676))\/(-1)).\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 7? (a) -0.3 (b) 0.1 (c) 11 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {i: 3, w: 3, j: 1, x: 3, g: 1, y: 2}. What is prob of sequence xyji?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -17, -88, -271, -620, -1189, -2032?\n\"Answer: -9*p**3 - 2*p**2 - 2*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = 248.692 - 250.692. Let t = 0.21 - 0.34. What is the third biggest value in l, -1.8, t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 98 + -43 + -38 - 7\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-h - 5 + 4 - 4 + 2*h**2)*(-2*h + 6*h - 3*h).\nAnswer: 2*h**3 - h**2 - 5*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*d**2 + 17*d + 6*d + 4*d**3 - 4*d + 74 - 5*d.\nAnswer: 4*d**3 - 7*d**2 + 14*d + 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 139.7 and -0.322982?\nAnswer: -45.1205854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v + 28 = x, 3 = -4*v - 5. Calculate the least common multiple of 15 and x.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = w**3 + 9*w**2 - 15*w + 5. Determine p(-11).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is m in 4*m**4 + 28*m**3 + 20*m**2 - 124*m - 120 = 0?\nAnswer: -5, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f = -5*u + 12, 0*f - 2*u = -f. Let r be ((-3)\/2)\/(4\/f). Let d(n) = -n + 1. Determine d(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -208636 divided by 2426\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -157\/9780 and 49\/7480722.\nAnswer: 74807220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -86976 (base 13) in base 5?\nAnswer: -30241123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w be (8\/10)\/(46\/6900). Calculate the highest common divisor of w and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(432) + sqrt(432) + sqrt(432))\/(-2*sqrt(256) + sqrt(256)).\nAnswer: -9*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1823\/25 + -73. Let i = 156 + -79. Let p = i + -311\/4. Which is the smallest value? (a) p (b) 5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 564 - 559. Suppose 0 = -2*r - 2*u + 166, -3*u - 81 - 294 = -o*r. What are the prime factors of r?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -550 = -2*w - 3*m, 2*w = 3*m + 624 - 62. Suppose 21*x + w = -79. What is the common denominator of x and -81\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-6)\/6 + (-100)\/(-2) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -4199 from 1.\nAnswer: 4200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 70*u**3*v**5 + 7*u**3*v**2 + 2*u**3 wrt v.\nAnswer: 4200*u**3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 4, t: 1, b: 3}. What is prob of sequence bbtt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 48517 + -441522.\nAnswer: -393005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r = 75 - 53. Suppose -6*h - 4 = -r. Suppose 3*v - 3*p = 3, -2*p = 2*v + 3*v - 40. Solve -5*u + 7 = g, 4*g - v = -u + h*u for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p = -2 - 1, 0 = -4*w + 3*p - 1549. Let n = w + 543. Let g = n - 100. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*((sqrt(9) - (sqrt(9) + -3*(sqrt(9) - sqrt(144))))\/(sqrt(3) - 6*sqrt(6)\/sqrt(2)))**2*6.\nAnswer: -1458\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -3*i**3 - 17*i + 8. Let v(k) = -k**3 + k**2 - 2*k. Let n(b) = 4*v(b) - z(b). Determine n(6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -37*w + 2 = -40*w - 13 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 4\/3 of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -1560*p**3 - 1494*p**2 - 11*p - 11. Let d(r) = -312*r**3 - 298*r**2 - 2*r - 2. Let y(g) = -11*d(g) + 2*f(g). Find the third derivative of y(u) wrt u.\nAnswer: 1872","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1236 - -1256. Calculate the smallest common multiple of 540 and z.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8078?\nAnswer: 2, 7, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 10 (base 3) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -1 (b) -0.3 (c) 2\/5 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 42081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = c**3 + 2*c**2 + c - 2. Let i(y) = 8*y**3 + 14*y**2 + 15*y - 16. What is i(t) - 7*l(t)?\nAnswer: t**3 + 8*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 8613.389 decades to months.\nAnswer: 1033606.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (sqrt(432) + -5 + sqrt(432) + 1)**2 - (-5 + (sqrt(147) + -2)**2)*-5.\nAnswer: -332*sqrt(3) + 2475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((w*(((w**3\/w*w)\/w)\/w)\/w)\/w)\/w)**37 assuming w is positive.\nAnswer: w**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put -182, -2, -19, 1 in descending order.\nAnswer: 1, -2, -19, -182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.3 - -0.32. Let b = -4936.6 + 4936.8. What is the second smallest value in b, -5, 5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i + 5*s = 20, i - s = s + 4. Suppose -2*o - 3*l + 2*l + 999 = 0, 3*l + 2003 = i*o. 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: Let s be ((-4)\/(-4))\/((-1)\/(-13)). What is the second derivative of -5 + s - 8 + 31*h**5 - 38*h wrt h?\nAnswer: 620*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1239149827.\nAnswer: 4253, 291359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l = 83 - 35. Suppose -2*k = 4*u + 4, 4*k + k = -20. Let v be 1\/(u\/3) - -3. Calculate the greatest common divisor of v and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -515*g - 255*g + 4620 = 0 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 4*g + 28 = 0, -2*v + 2*g + g + 14 = 0. Let o(r) = 2*r**2 - 2*r - 3. Let j be o(v). What is the highest common factor of j and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 24 a factor of 902472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x = 317 - 312. Let u be 58 + (-3 + 1 - 1). Calculate the greatest common divisor of x and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 15358 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w = 11209 + -11208. Suppose -2*v = 5*a - 14, 2*a - a = 5*v - 8. What is the third smallest value in 0.4, w, a, 2\/15?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*((sqrt(112) - 2*sqrt(112)) + 1) - (-2*(-3 + sqrt(21)\/sqrt(3)) + -4))**2.\nAnswer: -108*sqrt(7) + 2277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 39153805987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (12*12\/(-90))\/((352\/(-550))\/8).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-4)\/9)\/((-2)\/3). Suppose 3*c - 24 = -12, 3*b - 4*c + 19 = 0. Let m = 1.7 - 1.9. What is the third smallest value in b, 0.6, m, d?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y = 3*z + z + 1028, -4*y - 5*z = -806. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 59 minutes after 8:04 PM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 24\/(-2052)*-76*(-54)\/6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(-1)*a)\/a*a**(-10)*(a**3)**(-5\/4) assuming a is positive.\nAnswer: a**(-59\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express 1124 + z**2 - 2*z**4 - 376 - 393*z**3 - z - 371 - 379 in the form f*z**3 + m*z + a*z**4 + g + o*z**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + (5 - 8) + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -370.2, -296, 1 in decreasing order.\nAnswer: 1, -296, -370.2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} {"text":"Question: Let h(z) = z**2 + 3*z + 2. Let y be h(0). Suppose 0 = -y*x + 1210 - 126. Does 43 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-273)\/(-14) - (-2)\/4. Let j be (-8)\/(-10)*o\/4. Suppose 0*h + 67 = j*g + h, 0 = -4*h - 20. What is the remainder when 35 is divided by g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -160, -206, -256, -310, -368, -430, -496?\n\"Answer: -2*d**2 - 40*d - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z + 34 = -0*z + g, -5*z = 3*g - 46. Let l = z + -5. Suppose -l*c - 11 = -83. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -11*u + 14 + 41 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-7 - -4)*(0 - -2). Let z be (-1 - -1)\/(l - -5). Suppose 2*q + 2 - 14 = z. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 39938498 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -5 take away -27056490904209?\nAnswer: 27056490904204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = -2*p. Let k(y) = -203*y - 3. Determine -k(u) - 4*s(u).\nAnswer: 211*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -37 - 42 = -z. Let y = z - 14. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 3126, 3140, 3156, 3174, 3194?\nAnswer: 3216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 3260171693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2315110*i*y**2 - 4*i*y - 2*y**2 + 2245*y + 23 wrt y.\nAnswer: 4630220*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = -n + 31. List the prime factors of r(-10).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 234671076 divided by -4?\nAnswer: -58667769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Work out 903 * 34.\nAnswer: 30702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) be the second derivative of a**4\/42 - 2*a**3\/3 + 45*a**2\/7 - a - 13. Factor u(v).\nAnswer: 2*(v - 9)*(v - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = r**3 - r**2 - r + 1. Let l be q(2). Let t(s) be the third derivative of -s**4\/24 + 7*s**3\/6 - s**2. Let z be t(4). Solve -2*o = -l*o - z for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 92463.04cm?\nAnswer: 0.9246304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = -2*f**3 + 5*f**2 - 5*f + 1. Calculate x(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f - 7 = -2*b, 4*b + 0*f - 23 = -3*f. Suppose 188 = 2*v + 2*m, -232 - 273 = -b*v + 2*m. List the prime factors of v.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/44725, -1, -0.4 in decreasing order.\nAnswer: 1\/44725, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = 3481*c**2. Let u(z) = 70*z. Calculate u(f(w)).\nAnswer: 243670*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -a + 10*a**3 - 9*a**3 - 4*a**2 + 2*a to s + k*a + z*a**2 + m*a**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -2889*k**2 - 1. Let t(x) = -39*x**2. What is r(t(n))?\nAnswer: -4394169*n**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = -6*r**3 + 2*r + 1. Let o = -3 - -2. Let k be u(o). Suppose 5*y + k*g = 265, y = -2*g + 5*g + 53. Calculate the remainder when y is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.236, 32, 20, 2, -0.1, -1\/7 in increasing order.\nAnswer: -1\/7, -0.1, 0.236, 2, 20, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m = 49 + -46. Solve -i - l = m, -i - 5*l = i + 12 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 34615327547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*m**3 - 238954*m**2.\nAnswer: 2*m**2*(m - 119477)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o be 760\/(-912) - (1 + 5\/(-6)). Let f be (-86)\/20*354\/(-507) + -3. Which is smaller: f or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 117.73575 rounded to two decimal places?\nAnswer: 117.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by 3740?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -m + 7. Give i(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f = -18 + 8. Let v = 10.28 + f. Let n = -0.3 + v. Which is the biggest value? (a) 1\/3 (b) 0 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -k**2 - 6*k - 2. Let l be x(-5). Let v = l + 4. Let t(d) = -d**2 + 8*d - 6. Give t(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 13\/4 of a kilometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -267, -348, -449, -576, -735, -932?\nAnswer: -1173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 4535 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) be the third derivative of -k**8\/280 + 113*k**7\/525 - 71*k**6\/300 - 113*k**5\/150 + 37*k**4\/30 - k**2 + 63*k. Let z(f) = 0. Calculate f.\nAnswer: -1, 0, 2\/3, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -245 = -3*h + 2*p, -h = -p - 29 - 52. Let u = h + -70. What is the derivative of 6*j - j - u - 5 - 1 wrt j?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 17 (base 14) to base 15.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = 4*c - 27 + 5*c**3 + c**2 + 3*c**2 + 21. Let y(f) = 11*f**2 + 12*f**3 + 9*f**3 - 17 - 7*f**3 + 11*f. Give -11*i(l) + 4*y(l).\nAnswer: l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = 102*j**2 + 3*j + 7. Is p(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 283, 299, 325, 361, 407, 463, 529?\nAnswer: 605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -19*n - 1513*n**2 + 19*n + n**3 - 754 + 1511*n**2 + 754.\nAnswer: n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -20\/7713 and 13\/7713?\nAnswer: 7713","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v be (20 - -3) + 1 + 4 + 0. What is the highest common factor of v and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m + 1 = -z + 2, -m = 5*z + 91. Let y = z - -24. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5944738 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w*w*(w**(-3\/5)\/w*w)\/w*w*w**(-7)\/w*(w**(1\/3))**(1\/12))\/(w**(-6)\/(w**(-1)*w))**(-11\/4) assuming w is positive.\nAnswer: w**(-4153\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Work out -40 + -53.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = z**3 - 19748*z**2 + 276336*z - 836. Calculate k(14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = -h + 7. Let k be t(5). Let c(f) = f - 2. Let d be c(6). Suppose -3*p - 1 = -d*y - 5, -p + 2*y = k. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 4416833 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g + 5 = 0, 0 = -3*m + 3*g + 81 + 6. Let s = -7 + m. Does 7 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 4 + -6. Let w(k) = 15*k + 2. Let o be w(j). Let s be (1 - o\/(-8))*-2. Solve 0 = 5*r - 5*u - 15, -4*u = s*r + 13 + 17 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -865 - 848 + p - 846 - 17*p + 21*p + 2559.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) -0.4 (b) -5 (c) -4\/7 (d) 1856\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w = -7 + 6.98. Let u = -2 - -1.58. Let n = w - u. Which is the biggest value? (a) 0 (b) n (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -83758401*c*z**6 - 2*c*z**4 + 33*c*z**2 + 134026*z**2 + 14*z wrt z?\nAnswer: -10051008120*c*z**3 - 48*c*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round -0.246534305 to two dps.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -43*y + y**3 + 20*y + 23*y.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -h + 1, -3*n + 8*n = 5*h - 60. Which is smaller: -106\/11 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -9 * 57.6\nAnswer: -518.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -1. Let m be (3\/(-2))\/((-30)\/(-60)). Let f(p) = 2*p**2 + 2*p. What is m*b(q) + f(q)?\nAnswer: 2*q**2 + 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -845*h + 309*h - 1158*h to the form i*h + u and give i.\nAnswer: -1694","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in 12041, 10675, 9309, 7943, 6577?\nAnswer: 5211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 24889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Work out -36891214 + -35.911.\nAnswer: -36891249.911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 577287.9 + -9.875?\nAnswer: 577278.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = h**3 + 16*h**2 + 31*h + 374. What is n(-15)?\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 45 and 1521.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: ((-1)\/(126\/16))\/(434\/(-31) - -10)\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -79\/1088868 and -54\/7345?\nAnswer: 70776420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 26230049, 52460093, 78690137?\n\"Answer: 26230044*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = -11 - -19. Let a(f) = 2*f - 3*f - p*f - 15. What are the prime factors of a(-7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 7, -5\/2, 0.01?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:17 AM and 5:44 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 4871, 9625, 14371, 19109, 23839?\nAnswer: 28561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-18)\/8)\/((-9)\/(-210)))\/((-133)\/(-55860)*315).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 1, e: 1, m: 1, r: 1, w: 2, b: 1}. What is prob of picking 1 r and 1 h?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) be the first derivative of -2*r**3\/3 + 13*r**2 - 19*r - 194. Determine p(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -47 + 95 - ((5 - -12) + -2)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 23030?\nAnswer: 2, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 2468443, 1.3, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = -b - 11. Let m = 40 + -35. Suppose m*p + 39 - 14 = 0. Determine v(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*q + 0*q + 3*q)*(-2*q - 2*q + 3*q) + 3*q**2 + 0*q**2 + 1 - 2.\nAnswer: 2*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 31192*f**2 + 12650*f**2 - 13688*f**2 + 32375*f**2.\nAnswer: 62529*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t = 46 - 61. Let a be (-1 - (-3)\/t)\/((-4)\/(-16200)). What is a rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -6657 divided by 317\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t = 128 + -40. Suppose 0*f = 2*s - 4*f - t, -4*s = -f - 141. Let w = s + -24. Calculate the remainder when w is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*f + 342*x - 39 = 339*x, 0 = f - 2*x + 27 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) be the first derivative of m**4\/18 - 2*m**3\/27 - 2*m**2\/3 - 94. Factor y(u).\nAnswer: 2*u*(u - 3)*(u + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 1 - 3\/((-3)\/(-2)). Let x be ((-27)\/6 + 4)*40. Let r be (-2)\/(-8) + (-95)\/x. Sort r, u, 0.\nAnswer: u, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = -6*p + 9. Suppose w + 241 = s, 0*s - p*w - 483 = -2*s. What are the prime factors of s?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (3 + 1132)*18\/(-15). Let p be (2 - 139)\/(55\/(-545)). Let r = p + d. Calculate the common denominator of r and -23.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.4 in 1\/8, 2\/9, -3, 70?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n = 12 + -17. Let d = -18.1 + 18. Let q = -1.1 - d. Which is the nearest to 0.1? (a) n (b) -0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 42 + -68?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4537249335.\nAnswer: 3, 5, 100827763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -3*c**3 + 2*c**2 + 7*c + 7. Let r(g) be the first derivative of -4*g**3\/3 + g**2 + g + 4. Let b be r(-1). Is q(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (63\/(-105))\/(21 - (-2826)\/(-60))\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.02 - 0.54. Let x = i + 0.36. Put 4, x, 2\/23 in descending order.\nAnswer: 4, 2\/23, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -265, -6, -12, -1, -5, 4 in descending order.\nAnswer: 4, -1, -5, -6, -12, -265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 203 divide 153824062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i\/(i\/(i**(-1)*i))*i)\/(i\/i**3*i)*((i\/(i*i**6)*i)\/i)\/i*i*((i*i**(-3)*i)\/i)\/i)**(11\/3) assuming i is positive.\nAnswer: i**(-77\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 44684*c**3 - 89356*c**3 + 146*c**2 - 51*c**2 + 44674*c**3 - 45*c**2 - 50*c**2.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*i - 2 - 34. Let k(s) = -7*s - i*s + 18*s - 3*s. Let x(a) = 17*a - 21. Let n(v) = -6*k(v) + x(v). Differentiate n(b) wrt b.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 433\/451 at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 0.005315 rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 5? (a) -1\/2 (b) -15\/4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26 = 3*d + 20. Suppose 3*c = -d*l + 23, 0*c - 5*l + 30 = 2*c. Factor -c*s**2 + s + 1 + 4 - s.\nAnswer: -5*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -1, 1, -2165328.\nAnswer: -2165328, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -3 (base 5) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 35 = 5*s + 3*p, -6 = -s + 3*p - 17. Let j = 37\/2 - 18. Which is the third smallest value? (a) -0.3 (b) j (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1645 - 1644. Which is the nearest to 7? (a) 1.3 (b) -1 (c) 3 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 0*((15\/5)\/(-1))\/(-6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in 97\/2 of a microsecond?\nAnswer: 48500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide (-18)\/(-5 - -4) + -6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 4\/3, 3\/10, -5, -2, -1 in decreasing order.\nAnswer: 4\/3, 3\/10, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p = -33\/7 - -139\/28. Which is the closest to p? (a) 9 (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide (2 - 6) + -2 + 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 89477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -794 less than 0.8843918?\nAnswer: 794.8843918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = j**3 + 7*j**2 - 6*j. Let s(r) = r**2 - 41*r + 239. Let m be s(34). Let y(w) = -w**2 + w. Determine m*l(h) + 5*y(h).\nAnswer: h**3 + 2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) be the second derivative of -1\/12*u**4 + 5\/6*u**3 - 3\/2*u**2 + 2*u + 0. What is a(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*x + 260 = -160. What is the tens digit of 15472\/60 - 8\/x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -48 * -0.8145.\nAnswer: 39.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g = 680 + 451. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -41915096 to the nearest 10000.\nAnswer: -41920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*t - 5*a = -23, 5*t - 5*a + a = -21 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 2410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2623*w**5 - 6*w**3 - 19743*w**2 wrt w?\nAnswer: -157380*w**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -970 = -2*v + 248*t - 729*t, t = -3*v + 14 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((c*c\/c**5*c*c*c)\/(((((c*c**1)\/c)\/c)\/c)\/c))\/(c**(-1\/21)*c**(-10)))**0 assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Subtract -50474 from 0.5.\nAnswer: 50474.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*p**3\/3 - 889*p**2 - 4658*p\/3 - 665 = 0.\nAnswer: -665, -1, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1019*l**3 - 1025*l**3 - 2*l + 2*l.\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from pggvplhvvphvvprpr. What is prob of picking 1 l and 1 v?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h = -26899 + 26899. Solve 29*k - 34*k - 40 = h for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 92 in -2\/9, -79, -0.7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 77013.58um?\nAnswer: 7.701358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = -3792 + 7511. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 - 12 - (-5 + 23 - -21 - 50).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j be 36\/(-24)*(-110)\/15. Suppose j*c = 27*c - 64. Let y be ((-3)\/2)\/((-1)\/16). Solve -4*g - y = -c for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-30)\/(-252) + 10\/14)*16\/620?\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -17 - -32. Suppose 4*o - 5 = -v, o + 0*o + 3*v - t = 0. Let b = -23 + 26. Solve 0 = -j - 0*h + b*h - 6, 4*h - 8 = o for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 22513 by 6.\nAnswer: 22513\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express 121*s**2 + 2 - 5 + 126*s**2 + 5*s**3 - 246*s**2 as d*s + y*s**2 + t + r*s**3 and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = o**3 + 16*o**2 + 14*o - 12. Let j be i(-15). Suppose j*z - 54 = 5*d + 77, 5*z - 85 = 3*d. Which is smaller: d or -0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 1 (b) -3 (c) -4 (d) -1\/1004\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k = -5478 - -5480. Solve 0 = k*h - 4*h - 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*g + g + g)*(-2018*g + 2018*g - 9*g**2 + 1 + (-2*g + 2*g - 2*g)*(2*g - 4*g + g)) to the form f*g + s + l*g**3 + h*g**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a = 3377 + -1359. Let w = 741\/5 - 32188\/15. Let d = w + a. Find the common denominator of -33\/5 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 44500660*g**2 - 32833062 wrt g?\nAnswer: 89001320*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m = 5 + -5.2. Let k(w) = w**3 + 4*w**2 - 4*w + 5. Let c be k(-5). Let d = -0.04 + -2.96. Sort c, d, m.\nAnswer: d, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 40.922? (a) -0.4 (b) -0.53 (c) 1\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*x + 367612 = -3*x. What are the prime factors of x\/(-14) - (24\/4 + 0)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 45*z - 40*z + 20 = 0. Let q(o) = -33*o**4 - o + 64. Let m(v) = v**4 + 1. Let j(h) = z*m(h) + q(h). What is the first derivative of j(a) wrt a?\nAnswer: -148*a**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 5*q - 6*q - 93*q**2 + 0*q - 612 + 92*q**2 in the form v*q**2 + x + j*q and give x.\nAnswer: -612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u + 4*k - 3 = u, 4*u + 68 = 4*k. Let v = u + 9. Sort 5, v, -2 in ascending order.\nAnswer: v, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q + 2*y = -5*q + 26, 2*y - 62 = -4*q. Calculate the lowest common multiple of q and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.2, 0, -5, -9.\nAnswer: -9, -5, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*v - 3*z + 1227, -2445 = -4*v + 5*z - 2*z. Let x be v\/7 - 16\/(-28). Let g = x + -58. List the prime factors of g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*k + 24 = 7*k. What are the prime factors of (-281)\/5*-1 + k\/60?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 238\/6 + 5\/15. Let y = b - 23. Let x = 28 - y. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -1.4 and -4615162.8.\nAnswer: -4615164.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 49773.69 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = 4*q - 8. Suppose 3*k = l - 41, 0 = l + 4*k - 16 + 3. Calculate the remainder when l is divided by d(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t + 105 + 414 = 0. Suppose t*u = 175*u - 108. Suppose -4*z + 194 = 4*m + 38, -m - 4*z = -u. What is the remainder when 167 is divided by m?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0\/(-1)*(-7)\/(14\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o - o + 16 = 0. Suppose -3*b + 2*b = o. Let t = -3 - b. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1501526 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b = 2 - 4. Let v = -8063 - -8090. What is the closest to 0.1 in v, 1, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 1 + (4\/(-4) - -15). Let n = 17 - j. Let g be 0 - 4 - (-9 + n). Solve 0 = 5*s - g*d + 2*d, 11 = s + 2*d for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.1, 0.161, -1\/4, 0.\nAnswer: -1\/4, -0.1, 0, 0.161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 32577 - 4?\nAnswer: 32573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1.58 - 1.42. Let l = 0.163 - -2.837. What is the nearest to -1 in 2, l, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c + 11 = 63. Let y(f) = f + 4. Let r(a) = -5*a + 53. Let n(d) = r(d) + y(d). Let x be n(c). Solve 2*k = x*v - 15, 4*k + 0*k + 5*v = 45 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (5\/(-50))\/((-2)\/(-25)). Is p bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.02 + -0.42. Let y = 5\/12 - -1\/12. Let s(h) = 8*h - 30. Let z be s(4). What is the smallest value in y, z, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 993*y**4 + 483567*y**3 - 11688*y**2.\nAnswer: 3*y**2*(y + 487)*(331*y - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = l**3 - 3*l**2 + l + 2. Let x be p(2). Suppose 2*t + 3*a = x, 2*t - 11 = 5*a + 21. Let h(u) = -u**3 + 7*u**2 - 9*u + 7. Determine h(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (21\/(-18)*-3)\/((-140)\/(-240)). Solve -15*t + 147 = p*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -44 + 43. Let k(p) = -7*p - 7. Let h(l) = l + 1. Give m*k(c) - 6*h(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 3436, 2517, 1536, 463, -732, -2079, -3608, -5349?\n\"Answer: -5*j**3 - j**2 - 881*j + 4323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = a**2 + 13*a + 33. Let j be v(-12). Let t = j + -13. Solve -2*z = -l + 6, 5*l - t = -4*z + 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (12 - 10) + (2 - 6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = -7*q**2 + q - 3*q**2 + 2 + 11*q**2 + 0*q**2. Let m be a(-2). Find the first derivative of -8 + m*v**4 + 0 - 3*v**4 wrt v.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 242324800 a multiple of 295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = f**2. Let l(m) = -99*m**2 - 12*m. What is l(h(x))?\nAnswer: -99*x**4 - 12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) be the second derivative of 4*q**3\/3 - 2*q**2 + q. Let u be z(3). Let i = u - 61\/3. What is the nearest to -1\/4 in -4, i, 2\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -14 (base 13) in base 6?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q be 11*(-12)\/(-4 - 0). Suppose -2*o + 23 = -o + 3*t, o - q = -5*t. Let k be (-13)\/((-78)\/12)*9\/6. Solve -7 - o = k*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*n**3 + 252747*n**2 - 252747*n**2.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = -y + 1. Suppose -4*b + 2*g = g + 6, 0 = b + 2*g - 3. Let s(x) = -9. Let l(r) = -r - 10. Let h(j) = -6*l(j) + 7*s(j). Determine b*h(n) - 4*f(n).\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 576 minutes after 3:43 AM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1913346?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -527158*l**3 - 27*l**2 + 49868020*l.\nAnswer: -3162948*l - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 568 minutes after 10:50 PM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 218 a factor of 50611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*i - 3263391 - 2665036 = 0. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2 or 1199?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (264*p + 35*p**2 - 264*p)*(-179 + 179 + 20*p) - 2*p + 2*p + 2*p**3.\nAnswer: 702*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Divide 4568605 by -198635.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 2\/13 (b) -0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 24\/832429 and 47\/18?\nAnswer: 14983722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -107, -234, -375, -530, -699, -882?\n\"Answer: -7*j**2 - 106*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 8 + -5 + 0 + -7 - (2 + -7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*t**2\/11 - 947392*t\/11 - 112193950208\/11.\nAnswer: -2*(t + 236848)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round -4.093 to 1 dp.\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -17\/11, 282, 1, 3 in decreasing order.\nAnswer: 282, 3, 1, -17\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 5707027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in 581, 626, 721, 884, 1133, 1486, 1961, 2576?\nAnswer: 3349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 0 - (-4 - -6 - 6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = -2.432 + 1.432. Let d = -0.2 - 0.5. Sort -0.3, d, a in decreasing order.\nAnswer: -0.3, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1036 and 74?\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dqdq when four letters picked without replacement from {d: 2, q: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:40 AM and 12:12 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) be the first derivative of 1\/2*h**2 + 2 + 1\/3*h**3 + 0*h. Let s(c) = 3*c + c + 6*c**2 + 0*c**2. Calculate s(l) - 5*u(l).\nAnswer: l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i = 59 - 42. What is the remainder when 64 is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-4)\/(-10))\/(((-156)\/(-540))\/(-13)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 15524129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = u. Suppose 28*y - 24*y - 36 = -4*j, -2*j + 3*y = 2. Let d(f) = -2*f. Let c(h) = -h + 8. Let b be c(6). What is b*d(k) + j*p(k)?\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = -2959*p - 17902. Calculate b(-6).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -98347*k**3 + 43877*k**3 + 54458*k**3.\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) 2\/7 (b) 2 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p = 3*g - 6, -14 = 2*g + 4*p - 2. Suppose g = -30*y + 23*y + 609. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u + 73 = -23. Suppose 0*o = 3*f + 3*o + 42, 4*o - 28 = 3*f. Let z be 121 + ((-4)\/f)\/((-1)\/3). What is the highest common factor of z and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 408620, 408622, 408624?\n\"Answer: 2*i + 408618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3678626 divided by 5.\nAnswer: 3678626\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 - 9 = -2*t, -25624 = -3*n + 5*t. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} {"text":"Question: Let n = 0.052 + 0.048. Put 5, n, -1\/4, -2 in increasing order.\nAnswer: -2, -1\/4, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = t**3 - t**2 - t + 1. Let h(g) = -1 + 0 + g**3 + g - 114*g**2 + 55*g**2 + 60*g**2. What is -2*h(a) - 2*r(a)?\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 0.19 (b) -2\/9 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -0.1, -5, -1\/6, 801, 0?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 64 * -0.52\nAnswer: -33.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-40)\/14)\/1*203\/(-58)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*s - 382 - 506 = 0. What is the remainder when s is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = i - 1. Let a(o) = -1036*o + 779. Let g(c) = -a(c) + 3*l(c). Differentiate g(s) wrt s.\nAnswer: 1039","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = 4*w - w**2 - 3*w + 4 + w + 2*w. Let q be (18\/4)\/((-2)\/(-4)). Suppose 5*d = -m + 28 - q, 4*m - 4*d - 4 = 0. What is o(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (7\/(-14)*(-140)\/(-5))\/(11\/44)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 2046 (b) -21 (c) -0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -70*y - 448 = -2128 for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j be -2 + 0 + -3 + -364 + 4. Let n = -223 - j. Calculate the remainder when n is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 - 2)*(12 + 11 + 4)*(10*j + 31*j + 2*j)*(2*j**3 + 4*j**3 - 4*j**3 + (-3 + j + 3)*(2*j**2 + 0 + 0)).\nAnswer: -9288*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -2*p**2 - 3*p + 53. What is j(10)?\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c be 12\/10*770\/(-4620). Let o = 0.3 + -0.8. What is the smallest value in o, c, 3\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -8 times -833\nAnswer: 6664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand 1 + 3*r**3 - 1 + (2*r**3 - r**3 + r**3)*(4 - 2 + 1) + r**3 - 3*r**3 + 3*r**3 - 5*r**3 + 6*r**3 + r**3 - 3*r**2 + 3*r**2 + 2*r**3.\nAnswer: 14*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose o + k - 13 = -3*o, 2*k = 3*o - 18. Let a be (-968)\/(-1380) + o\/(-6). Let u = a + 416\/1265. Is -1 at least u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {r: 4, y: 2, n: 1, x: 5, q: 4}. Give prob of picking 2 x, 1 q, and 1 r.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.77 - -0.5332. Let l = s - -0.0368. Let q = 0.03 - -0.04. What is the second smallest value in l, q, 2, 0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = s**2 + s + 1. Let u be h(0). Let a(r) = 2*r + 3*r + u - 3*r. Let f = 0 - 2. Give a(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5 = -36*a + 23*a + 60 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 7\/10 (b) 4 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kylk when four letters picked without replacement from {y: 2, n: 7, k: 2, l: 1}?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*sqrt(500) + 2.\nAnswer: -60*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 535317130 to the nearest integer?\nAnswer: 812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is (2 - 7) + 11 + 6 + 1 + -16?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -a + 4*n = 0, -2*a - n + 11 = 2*n for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -18*o + 18*o - 10*o**3 + o**3 + o**3 - 4*o**3 + (2*o**3 + 0*o**3 - o**3)*(1 - 1 + 1) to the form j + y*o + l*o**3 + n*o**2 and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*f - f - 2*f)*(23542 - 220*f - 129*f - 23540).\nAnswer: 1047*f**2 - 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -0.002879 rounded to four decimal places?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = -j**3 + 5*j**2 + 4*j + 1. Let h be z(4). What is the highest common divisor of 363 and h?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -12\/29 + 74\/319. Suppose 3 = -6*a + 3*a. Sort g, 4, -2, a in ascending order.\nAnswer: -2, a, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/3 in -6, 53, -0.1, 40, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) be the third derivative of 0*t**4 - 29\/6*t**3 + 17*t**2 + 71\/20*t**5 + 1 + 0*t. What is the derivative of x(q) wrt q?\nAnswer: 426*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 93763630 to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 262709?\nAnswer: 262709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b + 9 = 2. Suppose b*f - 3*f = 556. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-9)\/6)\/(3\/(-4)). Suppose -p = -0*t - t. Solve 6*v - 4*v - 5 = -c, v = t*c + 15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be -1*(-1 + 2) - -1. Suppose r = -4*n + 6*n - 6. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 1 - 4 - (-1142)\/378. Is f at least as big as -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = 13*b**3 - 8*b**2 - 3*b - 8. Let g(k) = -9*k**3 + 5*k**2 + 2*k + 5. Calculate -8*g(v) - 5*m(v).\nAnswer: 7*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 118*t**2 - t - 11?\nAnswer: 236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 1013134005 (base 6) to base 10.\nAnswer: 10510133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*j**3 - 1620*j**2 + 3341*j**2 - 1623*j**2 + 21*j + 1)*(-3 + 3 + 5).\nAnswer: 15*j**3 + 490*j**2 + 105*j + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b = 628 + -616. Solve -b = -3*j - 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -79771 from -1.\nAnswer: 79770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -14\/1047 (b) -1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -q**2 + 342752*q + 4113183. Give r(-12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = 13*k**5 - 193*k**3 - k - 45. Let r(x) = -5*x**5 + 97*x**3 + x + 23. Let p(c) = 2*l(c) + 5*r(c). Find the second derivative of p(h) wrt h.\nAnswer: 20*h**3 + 594*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 227 divide 116136227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in eleven halves of a millennium?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 52.76214 nanograms to grams.\nAnswer: 0.00000005276214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1651.726 + -1635.6. Let f = s + -0.566. Let k = -16 + f. What is k rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose k = 4*k. Suppose -r = 2*r. Let o be r - (2 - (3 + 2)). Solve -o = -3*i - k for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 n, 1 w, and 1 i when four letters picked without replacement from nirwirccnncnncnnj?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 471735 + 11?\nAnswer: 471746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 16791216 + 5?\nAnswer: 1679121b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = -q**2 - q - 1. Let u(g) = -2*g**3 - 25*g**2 + 11*g + 280. Let x be u(-12). Let w(t) = -t**3 - 4*t**2 - 4*t - 4. What is x*i(c) - w(c)?\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (b**3 - b + b + (1 - 1 + 2)*(b**2 + b**3 - b**2) + 0 + 0 - b**3)*(-2*b - 7*b - 54*b).\nAnswer: -126*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*c + 4 = -4*h, -55*c = -60*c - h - 19 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is ((-1688)\/(-12))\/(8\/12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -98*c + 195*c + 52 - 96*c + (4*c - 6*c + 0*c)*(0 + 2 - 4).\nAnswer: 5*c + 52","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -8 + 0 - 1 - 3*k**3 + 0 with respect to k.\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -2*g + 2*a, 0 = -2*g - 8*a + 13*a + 15. Is g smaller than -115\/426?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (2\/(-14)*413\/(-236))\/(-1). Is 765 bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2794 rounded to the nearest one hundred?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -t**3 - 16*t**2 - 20*t - 64. Determine m(-15).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -52 (base 14) in base 5?\nAnswer: -242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35 = 5*i + 2*i. Let r(a) be the third derivative of -a**4\/24 - 50*a**2. Let s(f) = -6*f - 1. Give i*r(o) + s(o).\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 25, -3, 3, -2 in ascending order.\nAnswer: -3, -2, 3, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = 7*l + 10*l**3 + l - 9*l - 3*l**2. Let g be k(3). Suppose -10*r = -15*r + g. Is 16 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26 = -z - 2*y + 13, z - 38 = -y. Is z a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -262\/99 - 10\/11. Let r = d - -10\/3. Suppose -4*p = 3 + 1. Sort -5, p, r in increasing order.\nAnswer: -5, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -21 + (-6 - (-16 + 1)) - 8?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2317 and 64465891?\nAnswer: 2317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2 + 6. Suppose c = -0*c + u. What is the remainder when 13 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -124 + 118 = 60*r - 66. Put r, 12, -179 in increasing order.\nAnswer: -179, r, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -60*2*((-2)\/9)\/((-132)\/(-198))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 5415*j**3 - j**2 - 858*j - 2 wrt j.\nAnswer: 32490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Subtract 47 from -1667304050458.\nAnswer: -1667304050505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d = -60.304086 + 59.204. Let p = -1.15 - -0.05. Let g = p - d. What is g rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -1019 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 332473?\nAnswer: 332473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 47317254 to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-64 - -2)*(-1)\/2. Suppose b - a + 11 = 0. What is the greatest common divisor of b and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -10100100 (base 2) to base 15.\nAnswer: -ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) 0.4 (b) 9 (c) 0.3 (d) -0.1 (e) 0.5 (f) -52 (g) 22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -2*c**2. Let z(t) be the third derivative of -41*t**4\/24 - t**3\/6 - 233*t**2. Calculate b(z(y)).\nAnswer: -3362*y**2 - 164*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -10*m + 50. Let n be a(8). Let j(p) = 14*p - 1. Let q be j(-2). Does n = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*m - 3 - 9. Suppose 21 = 3*x + m*l - l, -4*l = 8. What is the remainder when 26 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) be the second derivative of 5*l**3\/6 - 5842*l. Let p(u) = 1281*u. What is p(v(s))?\nAnswer: 6405*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = 9*w**3 + 29*w**2 + 9*w - 14. Give n(3).\nAnswer: 517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 65666 - -128?\nAnswer: 65805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -17*p**2. Let h(q) = 124*q**2. Give u(h(t)).\nAnswer: -261392*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 892*k = 891*k - 3, 0 = -s - 2*k - 14 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2454*x**2 - 66*x - 2454*x**2 + 238*x**3 - 114*x wrt x.\nAnswer: 1428*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 36 and 1422.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -8434*b - 101473. Give w(-12).\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = 2*p. Let q(s) = -2 - 54*s - 12 - 245*s + 12. Determine q(u(x)).\nAnswer: -598*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 9115693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2441 - 2442. Which is the nearest to -1\/6? (a) 0.3 (b) f (c) 1\/20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -67641 - -67641.29. Let c = 8 - 14. Sort h, -5, c.\nAnswer: c, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.097212 + 0.097. What is b rounded to five decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*j = 10*j + 7*j + 10*j. Let x(p) = 2*p**2 + 3*p. Let b be x(-2). Let o be (-5)\/(-10) + 11\/b. Solve -v - 5*a - o = j, 0*a - 2*a - 7 = 5*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 39\/532 and -5\/114.\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = j**2 + 2*j - 2. Let i be p(8). Is i - ((-6)\/3)\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = 4*x, 4*h = -0*x - 5*x + 93. Suppose 2*w - c - c - 50 = 0, -w = -2*c - h. Does 17 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/((-1250)\/76 - (-131)\/(-2489))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 21343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in 144, 288, 432, 576, 720?\nAnswer: 864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*x + y + y + 59, 55 = 4*x + y. Is (1 - 0) + 507\/x a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = 295*q**3 - 258*q**2 - 6*q - 6. Let l(u) = -293*u**3 + 259*u**2 + 5*u + 5. Let c(v) = 6*l(v) + 5*y(v). What is the third derivative of c(b) wrt b?\nAnswer: -1698","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w - 2*w - 3 = 0. Let d(a) = a. Let x(l) = -l - 2 - l - l**2 + 5*l**2 - 4*l. Let y(j) = w*x(j) + 6*d(j). Differentiate y(p) wrt p.\nAnswer: 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5741298*z + z**2 - 3*z**2 + 11482601*z - 5741303*z.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 186\/66 - 2\/(-22)*2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 13, g: 6}. What is prob of picking 4 g?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 11022102 - 211?\nAnswer: 11021121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 52452*r**6 - 10933*r**2 + 4*r.\nAnswer: 6294240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(40)\/(1*sqrt(8) - sqrt(8) - sqrt(8) - sqrt(8)) - (sqrt(10)\/sqrt(2) + -2)) + 2 + sqrt(245) + 1)**2.\nAnswer: 55*sqrt(5) + 705\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Total of 27.3 and -61.\nAnswer: -33.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 406691127.\nAnswer: 3, 1187, 38069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -3059, -3098, -3209, -3428, -3791?\n\"Answer: -6*z**3 + 3*z - 3056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -84 divided by 4?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 4392643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -40083*s**2 + 50194*s wrt s?\nAnswer: -80166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose u = 4*u + 33. Let s be (u*8\/(-1320))\/(2\/12). What is the second smallest value in s, -0.2, 16, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3*-1*(120\/54 - 2)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1697 - -1716. Sort 0, c, 6 in decreasing order.\nAnswer: c, 6, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -10, -18, -26, -34?\n\"Answer: -8*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 15544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i = 7 + -11. What is the third biggest value in -2\/9, 4\/5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13046 = -36*g + 47*g. Suppose 4*h = -20, 5*h = 5*z - 1769 - g. List the prime factors of z.\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be -2 + (-160)\/(-26) - 10\/65. Solve 0 = -c + 2*c + b for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 87*v**3 + 576 with respect to v.\nAnswer: 261*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l be -4 + (-189)\/(-49) + 40\/35. Let k = -1 + 1. What is the nearest to l in 0.5, k, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -11\/76 and 87\/432442.\nAnswer: 16432796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n = 75\/52 - -3\/52. Suppose 10*d = -24 + 44. Which is the closest to n? (a) d (b) 1\/4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 4.055 - 4.057. Put -1, 4, m, 5 in decreasing order.\nAnswer: 5, 4, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -26*i**4 + 5*i**3 - 5*i**2 + 5. Let k(x) = -13*x**4 + 3*x**3 - 2*x**2 + 3. Let l(c) = 5*k(c) - 3*n(c). Find the third derivative of l(u) wrt u.\nAnswer: 312*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 45065 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express -5*a**2 - 3699 - 5*a**4 - a**3 + 3699 in the form d + x*a + c*a**4 + l*a**2 + b*a**3 and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**29\/l)**(-17)\/(l*l**(-11)*l*l\/(((l*l**29*l)\/l)\/l)) assuming l is positive.\nAnswer: l**(-439)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g = -62 + 63.113. Let z = 11827.907 + -11828. Let v = z + g. What is v rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:01 AM and 4:16 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = 14*l. Let p(a) = a**2 - 9*a + 6. Let b be p(7). Let u(v) be the second derivative of 0 + 0*v**2 - 6*v - 5\/6*v**3. Calculate b*u(c) - 3*r(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) be the first derivative of -1\/10*j**5 + 1\/3*j**3 + 2*j - 1\/15*j**6 - 4 + 1\/6*j**4 + 0*j**2. Let h(c) be the first derivative of y(c). Factor h(x).\nAnswer: -2*x*(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 5 (b) -3.2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = -9*f**2 - 4*f + 12. Calculate y(2).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) be the second derivative of 17*p**6\/30 + 24*p**5\/5 - 395*p**4\/4 + 4154*p. Find the third derivative of c(x) wrt x.\nAnswer: 408*x + 576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be -139 + (6\/30 - (-24)\/(-20)). What is t rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c = 4*k + 60 + 8, 0 = 3*k + 6. Solve -7 = 5*z - 4*f, 7 = 24*z - c*z + f for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2.3 - -2.5. What is the fourth biggest value in -0.1, 5, n, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -79\/110 and 21\/16330?\nAnswer: 179630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*k = 22 - 77. Solve y + 3 = k for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 57 + 58 - 706*f**2 + 702*f**2 - 115.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -17*k + 391 = -45*k + 5*k for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -r - 15 = s, -s - 47*r + 44*r + 69 = -4*s for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 317, -5, -8, 0, 1, 5.\nAnswer: -8, -5, 0, 1, 5, 317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) be the third derivative of -b**6\/120 - b**5\/60 + 5*b**4\/24 + 5*b**2. Suppose l - 5*l = -2*y + 12, 2*y + 4*l = -28. Does 20 divide k(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.8682265 millilitres to litres.\nAnswer: 0.0008682265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = 4.231 - 13.231. What is the second smallest value in -0.1, v, 15, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -56.6 + 33. Let f = -24 - k. Let m(w) = w**3 + 8*w**2 + 2*w + 12. Let j be m(-8). Which is the smallest value? (a) j (b) f (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 948 and 408224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence llss when four letters picked without replacement from {s: 2, l: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/(2*6\/(-20)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2\/6 - 14\/6. Let t be p\/((-6)\/10 - -1). Let n be (-1 - -2)*-6*2\/(-12). Sort -1, n, t in ascending order.\nAnswer: t, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -38792 by 13.\nAnswer: -2984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -42.1234 rounded to the nearest integer?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*i - 13 - 1 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 6? (a) -1\/5 (b) 6 (c) 8\/559\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1\/2 or 30510?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -t**3 - 28*t**2 - 113*t + 7. Give m(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 2420 and 35156.\nAnswer: 1933580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.061, 3\/4, -1\/9, 1, -0.2 in decreasing order.\nAnswer: 1, 3\/4, 0.061, -1\/9, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 106233 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort -20\/3, -11\/2, 1\/4, -2\/5, 1.\nAnswer: -20\/3, -11\/2, -2\/5, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b = 5*m + 81, 0*m + 71 = -5*m + 2*b. Let x = 28 + m. Let c = x + -9. Solve c = -w - w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose s + 0*s = -4*p - 32293, 3*p - 5*s + 24214 = 0. Let q = p + 17870. Let g = q - 16397. What is g rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) be the third derivative of -d**7\/2520 - d**6\/1080 + d**5\/360 + d**4\/72 + d**3\/2 - 3*d**2. Let m(f) be the first derivative of n(f). Solve m(k) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = 5*p**3. Let w(f) be the second derivative of -f**7\/210 + 37*f**3\/6 + f + 33. Let a(g) be the second derivative of w(g). Calculate 6*a(y) + 5*u(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v + 1 + 1 = 4*y, -2*v - y - 2 = 0. Let l be (39\/18 - 3)\/((-24)\/(-144)). Put l, -4, v, 3 in decreasing order.\nAnswer: 3, v, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) 16 (b) 2\/4193 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -2, 20, 48, 76, 98, 108?\n\"Answer: -l**3 + 9*l**2 + 2*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 19415772 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l = -310 - -310. Solve 3*b + l = -3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-81)\/45*1)\/((-9)\/(-60)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 101388?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 364822 a multiple of 491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 66*s - 13*s - 46428 = 0. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (114 - 114 + 4*t)*(6*t - 3 + 3)*(t**2 - 2*t + 2*t) as l*t**4 + h*t + d*t**2 + f*t**3 + z and give l.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 415.8355l in millilitres?\nAnswer: 415835.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Add together 49197086.145 and -0.05028.\nAnswer: 49197086.09472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -31\/5672226 and 43\/684579?\nAnswer: 39705582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = 2*b**3 - 83*b**2 + 509*b + 41. Let f be z(34). Solve f*y + 11 = 3*y - 3*c, -2*y + c = 13 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bh when two letters picked without replacement from hhjwchjhbc.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v = 15 - 15. Let d = 5 - 0. Sort v, d, -0.5 in descending order.\nAnswer: d, v, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 813249053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put -9, -2278, 5, 284 in decreasing order.\nAnswer: 284, 5, -9, -2278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4362461 = -5*c - 2*x - 28187547, -3*c = 3*x + 19530012. What is c rounded to the nearest one hundred thousand?\nAnswer: -6500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 215571 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 24849171?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m = -142 + 1139\/8. Let l(z) = z**2 + 90*z + 180. Let x be l(-2). Which is the nearest to x? (a) m (b) 1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 7171 + -14?\nAnswer: 7157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h = -50 - -97\/2. Let x = -33.3372 - -0.0372. Let q = -33 - x. Sort q, 0.4, h in descending order.\nAnswer: 0.4, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5.27274 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 39, 147, 327, 579, 903, 1299, 1767?\n\"Answer: 36*r**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -2293467 times 0.2\nAnswer: -458693.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in eighteen fifths of a day?\nAnswer: 5184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -2373 - 3578?\nAnswer: -5951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = u**3 - 6*u**2 + 5*u + 7. Suppose 7*c - 2 - 33 = 0. What is h(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 266 minutes after 1:08 AM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -252*i**3 - 1346*i**2 - 423*i**3 + 1346*i**2 - 148*i**3.\nAnswer: -823*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -190, -328, -410, -424, -358?\n\"Answer: 2*j**3 + 16*j**2 - 200*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = 2*c**2 + 7*c + 0*c**2 + 0 + 3 + c. Is x(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -33*j + 77 + 7*j + 3*j - j**2 - 68. What is h(-24)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -95 + 174. Suppose 2*q = 3*q. Suppose 4*v - z - 37 = q. Calculate the remainder when v is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 26*z**3 - 91*z**3 + 62*z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*c - 9 = -48*w + 43*w, 2*w = -c for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4484*c**2 - 2448*c**2 - 2347*c**2.\nAnswer: -311*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -27 + 24 + (1 - -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 - n - 4312753*n**3 + 4312649*n**3 + 1.\nAnswer: -104*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 2, s: 4, b: 7, z: 1}. What is prob of picking 1 a and 2 s?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*p = -15*p + 1720. What is the lowest common multiple of p and 8?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 46860897 and 1653?\nAnswer: 1653","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -238925 or -238924?\nAnswer: -238925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(2 + ((-1*sqrt(832))**2 + sqrt(832) + 0 - (sqrt(832)*-1 + 4)**2) + sqrt(832) + 0 + 3 + sqrt(832) + 0 + -3 + -4).\nAnswer: -88*sqrt(13) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -k**4\/3 - k**3\/3 + k**2 + k\/3 - 2\/3.\nAnswer: -(k - 1)**2*(k + 1)*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 15541 is divided by 181?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) be the first derivative of q**3\/3 - 12. Let v(m) = -3*m + 7. Let u be v(-4). Let k(c) = 3 + u*c**2 - 8*c**2 - 3. Calculate k(l(s)).\nAnswer: 11*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 258300 divided by 2100.\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 80259.57 hours in minutes?\nAnswer: 4815574.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) be the second derivative of p**5\/15 + 9*p**3\/2 - 3*p**2\/2 + p + 5. Let x(o) be the second derivative of i(o). Let m(d) = -30*d**2. Give x(m(g)).\nAnswer: -240*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*i - 8 + 36. Suppose 2*q + q + x = 21, -i*q + 21 = -x. Solve -q*r = -9*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 915.0223l to millilitres.\nAnswer: 915022.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 16.7522ng?\nAnswer: 0.0000000000167522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence iioo when four letters picked without replacement from ooiiiiiioiiioi.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*y + 4 = 2*f - 6, 3*f + y = 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (-2673)\/(-810) + ((-20)\/(-25) - 2)\nAnswer: 21\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 14 + -15. What is the nearest to h in 0.5, -1\/4, 5\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 14 - -6. Let l(f) = 7*f - 175. What is the remainder when l(36) is divided by w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 143 = -6*t + 10*t + 7*t for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j = 144026777\/494 - 291552. What is the common denominator of j and 101\/12?\nAnswer: 2964","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 20 - -1011?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*d - 9*d + 2*z = 5, 10 = d - z for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = 3*s**2 - 17*s + 21. Let a(d) = 37*d**2 - 217*d + 253. Let r(x) = -2*a(x) + 25*h(x). Determine r(-11).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o + 2 = -12. Suppose -5*t + 15 = 2*h, -5 = 5*h - 4*h + 5*t. Calculate the remainder when h is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1587 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -11095 + 27748 = -1281*t for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z - 11 = -3*p, p - 52*z = -54*z + 5. Let a = 0.5 - -1.5. What is the closest to p in 9, a, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine x, given that 2*x**3\/15 + 247070*x**2 + 572275578578*x\/5 - 22319373891386\/15 = 0.\nAnswer: -926519, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = -d - 1. Let z(b) = -3 - b - 1 - 3*b. Let n(q) = -q**3 - 2*q**2 + 2*q. Let f be n(-3). Calculate f*y(a) - z(a).\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) be the second derivative of l**4\/4 - l. Let r be (0 - (-1)\/2)*(6 + -2). Let x(i) = -83 - 8*i**r + 83. Determine x(s(q)).\nAnswer: -72*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*sqrt(3)*-4 + sqrt(36)\/sqrt(192).\nAnswer: 81*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -139*p**3 - 114*p**3 + 204*p + 249*p**3.\nAnswer: -4*p**3 + 204*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 149152\/(-4847440)*(-52)\/((-2)\/(-2))\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -499*o**3 + o**2 - 20*o - 42. What is the thousands digit of x(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 207 and 29670?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 91 minutes after 12:46 AM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o = -384.352 - 17.648. Sort 2\/11, o, -3 in decreasing order.\nAnswer: 2\/11, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0 + 3. What is the remainder when 53 - (4 + (-6)\/m) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 4 - 2 + 1 + 2*y**2 + (2*y + 2 - 2)*(-2*y - y + 2*y) + 2*y**2 - y**2 + 0*y**2.\nAnswer: y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 851323305 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = 4 + a + 32 + 0*a. Let p be u(8). Let s(m) = -m**3 + 7*m**2 + 10*m - 4. Let t be s(7). Calculate the greatest common factor of p and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4.114743 rounded to one decimal place?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*4*sqrt(304))**2.\nAnswer: 175104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z = 26 - 15. What is the greatest common factor of 44 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 21526 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide -55 by -240.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -133, -548, -1239, -2206?\nAnswer: -3449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-25075)\/1360 - -19)\/((-21)\/(-28)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = 219*a + 2499. What is the remainder when 989 is divided by d(-11)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 12\/(0 - -3) + -15. Let r(q) = q**2 + 5*q - 11. Let a(y) = y - 2. What is p*a(o) + 2*r(o)?\nAnswer: 2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-9)\/6 - 21\/6. Let u(c) = -3*c. What are the prime factors of u(a)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = -o**3 + 16*o**2 - 60*o - 25. Let u be j(9). Suppose 3*z + 12 = 7*z. Solve u*y + 4 = 4*x - 6, -13 = -z*x - 4*y for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8617 = -574*a + 2863 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: (37\/(-148))\/(35\/10)\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = a**3 - 15*a**2 + 16*a - 26. Determine x(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -456, -903, -1348, -1791?\nAnswer: -2232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*sqrt(18)\/(sqrt(672)\/sqrt(7)) - (1*sqrt(150) - sqrt(150))\/(-1*(sqrt(2) + sqrt(8)\/sqrt(4)) - sqrt(2)).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 59*u**3\/5 + 178*u**2\/5 + 121*u\/5 + 2\/5 = 0 for u.\nAnswer: -2, -1, -1\/59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 1787475119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*n + 15 = -6*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 240 divide 1092480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v be 5\/(-1)*3468\/(-1445). Calculate the highest common divisor of v and 40.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence uv when two letters picked without replacement from {w: 2, g: 1, y: 1, v: 2, u: 6}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 195 minutes before 5:01 AM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (295\/(-10))\/((-5)\/2 + 2) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 - (16 + -16) - -16.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -210 = -2*h - 4*j, 315 = -0*h + 3*h - 5*j. What is the remainder when h is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 61.014 + -61. Let l = -0.01400075 + w. Round l to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 960 and 48.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = 115*g**2 + 4130*g + 3945. Let l(x) = 13*x**2 + 459*x + 438. Let k(z) = -35*l(z) + 4*y(z). Factor k(m).\nAnswer: 5*(m + 1)*(m + 90)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11010001111 - 1110100110111?\nAnswer: -1011010101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 113, 138, 171, 206, 237, 258, 263, 246?\n\"Answer: -k**3 + 10*k**2 + 2*k + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1 + 2. Let p be (g\/(1\/(-8)))\/(-2). Let r(l) = l**2 - 21*l + 2. Let s be r(21). Solve -p = -s*f - 2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 302 - 261. What is the units digit of (g + -6)\/(-1 + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = -50*b - 16. Let g = 423 - 389. What is the remainder when t(-3) is divided by g?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -17? (a) -0.2 (b) -1 (c) 1 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(sqrt(7488) + (sqrt(7488) - (sqrt(7488)*2 + 2 + sqrt(7488) + sqrt(7488) - sqrt(7488)))) + -2*(3 + sqrt(52)*2 + sqrt(52) + 0))**2 + 3.\nAnswer: 4224*sqrt(13) + 226771","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -13 + (-11 + 10 - -2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = -n. Let r(x) = 310*x**2. Give b(r(o)).\nAnswer: -310*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:14 PM and 6:33 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:56 PM and 3:45 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 17743320 and 2534760?\nAnswer: 17743320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:14 AM and 8:13 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 39? (a) 0.1 (b) 43 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -545, -3043, -9503, -21905, -42229?\nAnswer: -72455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) be the third derivative of g**4\/24 - g**3\/2 + 2*g**2. Let k be m(4). Let h be (3\/(-2))\/(4 - k). Sort h, -3\/2, -5 in decreasing order.\nAnswer: h, -3\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 4, 12, 30, 64, 120, 204, 322, 480?\nAnswer: 684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 633123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 12 + 280\/5040 + 1941\/54?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1\/5)\/((-18)\/15)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*t = -2*t + 24. Calculate the remainder when -10*(28\/8)\/(-1) is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 57 - 29. What is the greatest common factor of 4 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 6, r: 12}. What is prob of picking 4 r?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 16328, 16333, 16356, 16409, 16504?\n\"Answer: 2*g**3 - 3*g**2 + 16329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(1*sqrt(11) + -1 - sqrt(22)\/(sqrt(10)\/sqrt(5)))**2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x be (9\/6)\/(9 - (-1590)\/(-176)). What is the remainder when 238 is divided by ((x\/(-33))\/((-2)\/(-66)))\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((6*(2*sqrt(66) - sqrt(66) - sqrt(66)))\/(sqrt(726)*2) + -2*(5*((-2*sqrt(77))\/sqrt(7) - sqrt(11)) + 1))**2.\nAnswer: -120*sqrt(11) + 9904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2138, 2121, 2104, 2087, 2070?\nAnswer: 2053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 20, 25, 32, 41, 52, 65, 80?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose q - f - 10 = 0, -9 = -2*q + 3*f + 15. Suppose 2 - q = -2*v. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 109 and 9?\nAnswer: 981","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 78 and 92418?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 69 and 368.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -1 (b) 0.094 (c) 23 (d) -2\/219\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express 76 + 2*k**3 + k**2 + 1950*k - 1950*k + 1245 as l*k**3 + w*k**2 + p + t*k and give p.\nAnswer: 1321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 44a7c (base 14) in base 15?\nAnswer: 345e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: Is 8329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 1, -23785, -13 in ascending order.\nAnswer: -23785, -13, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) be the second derivative of -d**6\/720 - d**5\/60 - d**4\/12 - 2*d**3\/9 + 8*d**2 + 8*d. Let m(x) be the first derivative of k(x). Factor m(s).\nAnswer: -(s + 2)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 11431.032 months?\nAnswer: 9.52586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -1573 = -470*z + 9707 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.23682 rounded to 2 dps?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n = -43957 - -43965. Let j = -2 - -2.1. Which is the closest to n? (a) j (b) -2\/5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 21017 is divided by 5141?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -a = -4*u, -5*a = -0*a + 3*u + 5 - 28 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 13230430150 rounded to the nearest one hundred thousand?\nAnswer: 13230400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 305.\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = -h**3 - 3*h**2 + 2. Let u be b(-3). Let s be u\/(-7) + 16\/28. Is s not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 77827413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 96063.32818 rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19084*n**3 - 9293*n**3 - 9805*n**3.\nAnswer: -14*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 640 and 258321440.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*y - y**2 + 0*y + (1 + y - 1)*(y - 3 + 3) - y**2 + 0*y**2 + 2*y**2 + 0*y**2 + y**2 + y**2 + (98 - 98 - 34*y)*(2*y - 1018 + 1018).\nAnswer: -65*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = -b + 8. Let p be l(4). Suppose -14 = -p*o - 2. Suppose -o*f + 58 = 7. Calculate the remainder when 32 is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2926 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.2 and 47082?\nAnswer: 47081.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-5)\/(5\/(-299)) + -1 + 7?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000156079965 to 5 decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is (-42 + -4)*(-1)\/2 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-4)\/22)\/((-212)\/61215*-21).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 + (-2 - (0 + 2)) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*u + 15 = 5*k - 8*u, 3 = k + 3*u for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n + 10465 = -t - 5739, 4*n - 12961 = 3*t. Let o = 6812 - n. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -511800 to the nearest ten thousand.\nAnswer: -510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n = -5*w + n + 610, 2*w - 4*n = 238. Suppose 0 = -5*a - 2*i + 209 + 39, i + 51 = a. What is the highest common divisor of a and w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -3*f**4 - 114*f**3 + 669*f**2 + 996*f - 1548 = 0. What is f?\nAnswer: -43, -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = t**3 + 6*t**2 - 5*t. Let q be s(-6). Let m = q + -21. Is 3 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (57*u - 23*u + 13*u)*(381*u - 2107 + 2107).\nAnswer: 17907*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand 6*j**5 - 4*j**5 - 3*j**5 + (10*j - 5*j + 5*j)*(-297*j**2 + 297*j**2 + 83*j**4).\nAnswer: 829*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 19, 11, -3, -23?\n\"Answer: -3*g**2 + g + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13*d - 63 - 12*d + 121 - 66 - 4*d.\nAnswer: -3*d - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q = -462 - -464. Solve -7 = o - 4*w, -q*o + 4*w - 4 - 2 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence msuu when four letters picked without replacement from uimmumsmusrmiusrm.\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 w and 1 m when three letters picked without replacement from iwbmbww.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.49 * 0.6.\nAnswer: 0.294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in 437, 422, 405, 386, 365, 342?\nAnswer: 317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = -3 - -3.1. Let o be (-1*(-3)\/(-6))\/((-288)\/192). Which is the smallest value? (a) o (b) 1 (c) -2 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 9027 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -7*t**3 - 79429*t*u**2 - 2*t*u*v + 6169*u**2 - v wrt t.\nAnswer: -21*t**2 - 79429*u**2 - 2*u*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d - h = 334, 3*d + 5*h = 6 + 233. Suppose 0*j - 11*j = -132. Suppose 84 = j*f - 6*f. What is the remainder when d is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = -c - 4*b, 3*b + 8 - 102 = 5*c. Let a = c - -20. Suppose -3*k - 5 = 5*q - 6*q, 4*k + 4 = 0. Solve -f = -a*f + q for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7*((-2 - (-60)\/(-9)) + 5\/3)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -617*d - 335694 + 107774 = -10977*d for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -442*m = -446*m - 8. Let p be (-15)\/(-6)*(3 + -1). Put 2, 0, p, m in ascending order.\nAnswer: m, 0, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.3 and 890?\nAnswer: -267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f = 295 + -176. What is the remainder when f is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = -2495*y**2 - 1. Let g(l) = 8*l**2. Give s(g(d)).\nAnswer: -159680*d**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is (-21)\/4*9504\/(-1386)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1772150269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 688.2711l?\nAnswer: 688271.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -38, -4, 0 in descending order.\nAnswer: 0, -4, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find v such that 3*v**5 - 1263*v**4 + 136026*v**3 - 646392*v**2 - 289536*v + 3115008 = 0.\nAnswer: -2, 3, 4, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -113, -464, -1053, -1880?\n\"Answer: -119*u**2 + 6*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Subtract 135140548 from 0.02.\nAnswer: -135140547.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + (((sqrt(98) - -3*(0 + sqrt(98))) + (0 + 0 + sqrt(98) - sqrt(98)))*2)**2)*-6.\nAnswer: -37644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand -69*y**3 - 136*y**3 + 18*y**3 + (4 - 4 - 5*y**3)*(-1 + 3 - 1).\nAnswer: -192*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 94940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand x - x + x + (2 - 3 + 0)*(x + 0*x - 2*x) - 10585 + 10585 + 957*x.\nAnswer: 959*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t - 15 = r, 7*t = 2*t + 4*r + 10. Let p = -503 - -227. What is the tens digit of -2*t*p\/(-16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3747, 5, -6, 4, 3, 51 in decreasing order.\nAnswer: 3747, 51, 5, 4, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2745\/(-183)*(-49)\/(-21)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 1192440, 2384836, 3577232?\n\"Answer: 1192396*w + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = -10.3 - -11. Let w = u + -0.6. Which is the nearest to w? (a) -4\/5 (b) -5 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 51*d*y + d + y**3 - 2*y - 72 wrt y?\nAnswer: 51*d + 3*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.03 + -0.83. Let g = -1 - a. Let k be (32\/(-36))\/4*3. Is k at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*y - 32 + 12 = 0. Calculate the greatest common divisor of y and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 49652\/37 + (-50)\/(-925). Let k = y + -1340. Let 4\/3 + 4\/3*r**4 + 2\/3*r - 4\/3*r**3 - 8\/3*r**k + 2\/3*r**5 = 0. What is r?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.5 and 2910.\nAnswer: -1455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) be the second derivative of -f**8\/1344 + f**7\/126 - f**6\/48 - f**4\/4 - 4*f. Let s(w) be the third derivative of m(w). Suppose s(b) = 0. Calculate b.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*q + 4*q + q**3 - 2*q**3 + q - q + (1 - 5 + 2)*(-2*q**3 + 0 + 0) - 1 + 2*q**3 + 1 + 36*q**3 - 72*q**3 + 94*q**3 + (-1 + 1 + 2*q**2)*(2*q - 6*q + 2*q).\nAnswer: 59*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = 2*q**3 + q**2 + 2*q + 3. Let l be (5 + 0\/(-2))\/(-1). Let j be z(l). Let t = j - -325. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -7*q**3 - q + 1. Calculate v(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-167)\/(-4) + (-15)\/(-60). Suppose -k = -0*k - f. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify n**(-2\/49)\/(n*n**(-25))*n**(7\/5)*n*(n\/(n*(n\/(n\/(n**21\/n*n)))\/n))\/n assuming n is positive.\nAnswer: n**(1313\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -706 to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 14\/8 - 66\/88?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 4 - 1. Let a(g) = n + 5 - 1 - 5 + 2*g. Let f be a(2). Solve 7*d = 4*d + f for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 74 or 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor l**2 - 19938*l + 99380961.\nAnswer: (l - 9969)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 692 minutes after 9:20 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = -q**3 + 7*q**2 - 2*q - 3. Calculate the remainder when i(6) is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 391 + -324. Is 15 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2*b**2*m + 981*b**2 + 569*b*m**4 wrt m.\nAnswer: 2*b**2 + 2276*b*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*t**3 - 26586*t**2 - 89523120*t - 7758379912.\nAnswer: -2*(t + 89)*(t + 6602)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 160.9*-0.138291.\nAnswer: -22.2510219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 184509739*m**2 + 26344456*m.\nAnswer: 369019478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b = 935491 + -1765491. What is b rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 36983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 4 (b) -353 (c) 3\/5 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express -18*a**2 + 9*a**2 - 4*a + 4*a as b*a + r*a**2 + q and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r = 83\/4 + -21. Sort -3\/8, 1\/4, r in ascending order.\nAnswer: -3\/8, r, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 13 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 69038674.\nAnswer: 2, 31, 1113527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = 6*o**2 + 32*o + 201. Let k = 101 + -109. What is the units digit of a(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -b**3 + 2*b**2 - 1. Let r be d(1). Suppose y + r*y = 23. Suppose -8 - 1 = -s + p, 0 = -2*s - 3*p + y. Is s a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-28)\/(-3)*(-3)\/(-2). Do w and 16 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 9137, 8493, 7849, 7205?\nAnswer: 6561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = 5 + -6. Let c = 239 - 5017\/21. What is the closest to v in 2\/11, c, 3\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = 7*s**2 + 3 + 12*s - 5*s**2 + 21 - 13. Let k be o(-6). Suppose 2*m = 11 + k. Solve -4*l - m - 5 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose h - 24 = -4*i, -16 = -117*i + 119*i - 3*h. Solve 0 = 8*b - i*g + 4, -17*b = -15*b + 5*g + 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = 5*q**2 + q + 2. Let c be y(-2). Let k(n) = -n**3 + 66*n**2 + 64*n + 220. Let s be k(67). Which is bigger: c or s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) be the second derivative of r**8\/14 - r**7\/14 + 17*r**4\/3 + 15*r. Find the third derivative of g(j) wrt j.\nAnswer: 480*j**3 - 180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u = 2*u. What is the closest to 2\/7 in u, -1\/3, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 y and 2 w when three letters picked without replacement from wwywjwwwwwqwwwwyw.\nAnswer: 39\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m = 3*m - 5*g - 30, m - 2*g = 5. Let t = m + 19. Suppose -3*u - 4*l - t = 0, -16 = -3*u + l + l. Solve 4*v + u*j = -3*j + 7, -v - 4*j = 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -43232 by -1.\nAnswer: 43232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*l - o + 4, -46*o = -l - 49*o + 17 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = u**2 - 10*u - 206. Determine z(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (15\/60*10)\/(5\/1572).\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 55565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -4347 in 5, -1, -7, -101?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: (-392)\/147*6\/28\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = 7*k - 3. Let m(f) = 3*f - 2. Determine -5*m(s) + 3*o(s).\nAnswer: 6*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1788.\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = 2*z**3 + 18*z**2 + 33*z + 45. Let s be q(-7). Solve 22*j = s*j + 12 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-576)\/(-56))\/24 - (3 + 213\/(-91))\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 15 (base 16) in base 9?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f - f - 4*w = -12, 5*f + 9 = 3*w. Is f != 2\/865?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 544 = 7*z + 4*z + 5*z for z.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) be the third derivative of 1981*x**6\/120 - 13*x**5\/3 - x**4\/12 + 706*x**2. What is the third derivative of a(s) wrt s?\nAnswer: 11886","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = 6 + 4*s**3 + 3 - 17*s**3. Let c be -6*(-5 + 3)\/(-2). Let y(o) = -27*o**3 + 19. Let m(d) = c*y(d) + 13*z(d). Differentiate m(v) with respect to v.\nAnswer: -21*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -5070 divided by 4\nAnswer: -2535\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p - 2*d = 4, -p + 15 + 5 = -4*d. Suppose 5*i - 35 = 5*v, i - p*i - 3*v + 51 = 0. Suppose 7*q - i*q + 10 = 0. Solve 0 = q*m + 6 + 4 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*w + 0*w + 3*w + 30*w**2 + (-3 + 3 + 2*w)*(w - 2*w + 0*w).\nAnswer: 28*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*t + 242*l - 142 = 237*l, 302 = 8*t + 3*l - 2*l for t.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c = 830284 - 622713137\/750. Let v = -2\/125 - c. Let n = 0.3 + 0. Put v, 1\/7, n in increasing order.\nAnswer: 1\/7, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -7\/3838 - -291919\/126654. Suppose 4*y + 2*a = -62, -4*y + 2*a - 65 = 7*a. Find the common denominator of ((-24)\/y)\/((-12)\/22) and u.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = -2*x + 4. Let q be m(0). Which is the closest to 0? (a) 5 (b) -1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify t**4*t\/(t**5\/t)*(t*t**(-13))\/(t\/((t\/(t*t**(-8\/7)*t))\/t)) assuming t is positive.\nAnswer: t**(-90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = d**2 + 11*d + 15. Let t be z(-10). Suppose 0 = 3*y + t*m + 205, -4*m + 215 = -3*y + m. Let l = y - -104. What are the prime factors of l?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 383 or -50\/83?\nAnswer: -50\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) be the third derivative of 1\/12*s**4 - 1\/60*s**5 + 0 + 0*s + 3*s**2 + 1\/2*s**3. Let b(v) = 0. Calculate v.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*a = 3*a - 14862. Let p = 178718776\/19 - 9408729. Let t = p - a. Is t at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -78 + 121. Suppose c + 38 = -5*x, 217 = -5*c + 2*x + 81. Let h = g - c. Is h a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) be the second derivative of -a**5\/20 + a**4\/12 + a**3\/6 - 3*a**2\/2 + 120*a. Let t = 4 - 4. What is n(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = -g + g**2 + g**3 - 3*g**3 - 3*g**3. Suppose -12 = -4*z, z = -6*k + k + 8. What is x(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -91*j + 9 = -3*w - 85*j, -2*j = -3*w - 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x = 18 - 18. Suppose 10*z - 7*z - 6 = x. Let i be 19\/(3135\/30) + (-67)\/(-176). Is z bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 24618818 and 159?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 76\/(-95)*(-525)\/(-14)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1445864800 a multiple of 775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 12717491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 438 a factor of 184802712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 117 and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 25094*k**3 - 26875*k**2 wrt k.\nAnswer: 150564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 3953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = v**2 + 252*v + 3569. What is z(-15)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -169*m - 22. Let k be x(2). Let a = k + 5737\/16. Calculate the common denominator of -137\/24 and a.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -3 + 7. Let c = w - 2. What is the nearest to c in -1, 1\/4, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1.8 - 3.2. Let g = 9952 - 9948. Let c be 1\/(-5)*15\/(-9). What is the fourth smallest value in -0.2, v, g, c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (2 + (-44)\/24)*-4. Let u = -1.1 - 2.9. Is v greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 34*j + 105 = -20*j + 39*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 141779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 8184+122\nAnswer: 8306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is seven quarters of a millisecond in microseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n + 37 + 2 = -4*x, -3*n = -4*x + 15. Let d be (-1)\/((-6)\/n - 1). Let g(r) = -r - 1. Let k be g(-1). Solve 4*h + d = -3*a, k = a - 0*a - h + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -105 - -121. Suppose -126 = -l*j + 2*j. Solve 0*w + 3*w = -j for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j - 3*j = j + 14. Sort -4, j, 18, 9, -5 in increasing order.\nAnswer: -5, -4, j, 9, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = 2*q + 7. Let t be h(-8). Let u(z) = z + 2. Let i(j) = 4*j - 7. Let o(n) = -i(n) + 6*u(n). Determine o(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 5 - 2. Let x be y\/(2 - 10\/8). Let n(k) = 2*k**2 - 5*k - 1. What is n(x)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 17\/12, -1, -2, -2\/11, 25?\nAnswer: 17\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s be -4 + 4 + -2 + 6. Find the third derivative of 2*p**4 + 2*p**4 - 3*p**4 + 8*p**2 - 9*p**s wrt p.\nAnswer: -192*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:08 AM and 2:32 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -z**3 - 4*z**2 + 4. Let s be y(-4). Suppose s*c - k = 12, -2*c + 6*c = -5*k - 12. Suppose 39 = 6*p + 15. Solve c*u = -2 - p for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 582960 by 4164.\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = v - h, v + 2*h + 5 = -0. Suppose 7*d - 6*d = 7. Solve -v*m = t - 2*m - 5, -t + d = 3*m for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 180\/(-12) + 29 + -12. Let n(c) be the first derivative of 3\/10*c**b + 0*c - 2\/5*c**3 - 3 + 3\/20*c**4. Factor n(v).\nAnswer: 3*v*(v - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -29, 2, 253, -3, 5, 306 in descending order.\nAnswer: 306, 253, 5, 2, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -1713, -21, -4 in descending order.\nAnswer: -4, -21, -1713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 37117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -316 = -5*v - 351 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4565160 divided by -108.\nAnswer: -42270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2200654?\nAnswer: 2, 43, 25589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 385403653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c - 18 = 4*d, c - 4*d - 10 = 6*c. Let y be -2*(c - (-60)\/4). Let r be 51\/y - (-22)\/4. Solve -r*g = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4803 = -0*d + 3*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = p - 5*l - 7, 2*p = p - 3*l - 1. Suppose p*x + 4*z - 102 = 0, -117 = -5*x + 3*x + z. Let r = -33 + x. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 4 + -6. Let f be -2*13*(-8)\/16. Let k = -13 + f. What is the closest to s in -1, k, 1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 17095365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.4 and 70.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Divide -1979 by 1979.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s = -6 - -11. Suppose 0 = 5*m - s*a + 5, 5*m + 0*a + 4*a - 22 = 0. Solve -m*r + 5 = 3*d, -2*r + 7*r + 7 = -d for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h*h*h**(-1)*h)**10*h**(-1)\/(h\/h**(-2)*h) assuming h is positive.\nAnswer: h**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence myo when three letters picked without replacement from omypyp?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) be the third derivative of -1759*a**6\/60 - 2975*a**4\/24 + a**3\/3 + 127*a**2 - 12*a. What is the second derivative of k(t) wrt t?\nAnswer: -21108*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -5.399 and 54.1?\nAnswer: -292.0859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = 595*f + 16143. Calculate c(-27).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert -1970c (base 13) to base 15.\nAnswer: -ea1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) be the first derivative of 448*u**3 + 10825*u**2\/2 + 7653. Find the second derivative of w(m) wrt m.\nAnswer: 2688","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or 3\/1179080?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 1.284 times -5333?\nAnswer: -6847.572","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: Let i = -9093 - -19693. Round i to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = 94*l + 4591. Calculate f(-55).\nAnswer: -579","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 47? (a) -1\/5 (b) -20 (c) -5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -24*r + 102. Calculate l(22).\nAnswer: -426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r - t - 9 = 3, 5*t - 27 = -4*r. Let y = 34 + -33.9. Let o be (-2)\/4 - 7\/14. Which is the nearest to o? (a) y (b) r (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = o**3 - 20*o**2 + 102*o - 28. Determine i(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 125371 - -32.\nAnswer: 125403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = -730*t - 467. Is u(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1.186793 plus -33414?\nAnswer: -33412.813207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u = -26042064540482163\/3822735704825740 - 2\/13028204297. Let a = -31\/8630 - u. Let n = 84\/17 + a. Find the common denominator of n and 83\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*n + n**4 + 2*n + (-4*n + 2*n + 4*n)*(-3*n + 2*n**2 + 3*n + 85*n**3) to h*n**3 + x + t*n**4 + m*n + a*n**2 and give t.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*x - 9 = -d + 12*x, x = 3*d - 19. Suppose -5*n - 15*s + 17*s = -19, -5*n = 2*s - 31. Calculate the greatest common divisor of n and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c + 4*q = 347 + 817, -582 = -2*c + 2*q. Suppose 189 = -5*g - c. Let f = g - -165. List the prime factors of f.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 44 + (0 - (54 + 4))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2582143*n**4 - 2081370 wrt n.\nAnswer: 10328572*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 221 = 116*w - 359. Let i = -96 + 136. What is the greatest common factor of i and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = t**2 - 10*t - 140. Calculate the remainder when p(22) is divided by 33.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1.184551 - 1013?\nAnswer: -1011.815449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -78 - -dd9?\nAnswer: d61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 46354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -80310132*x*z + 14416*x + 117 wrt z.\nAnswer: -80310132*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2117155?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*p - p + 10. Let k be 6\/(-30) + 572\/p. Suppose c - 28 = k. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00536256 to four decimal places.\nAnswer: 0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.4, -2\/505, 4, 0.036, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 13, 33, 55, 79, 105, 133, 163?\nAnswer: 195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-9)\/12 + 51\/(-12))*-1. Suppose -d*o + 4 = 3*j - 0*o, -3 = 3*o. What is the second derivative of 3*p**3 - 7*p**j - 27*p**5 - 26*p + 4*p**3 wrt p?\nAnswer: -540*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-3*c - c + 3*c)*(-1 + 2 + 1) + (-2 + 6 - 2)*(-7*c + 2*c + 3*c))*(-6*c + 2*c - 19*c).\nAnswer: 138*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) be the first derivative of 17*i**5\/5 - 17*i**3\/3 + 11. Find the third derivative of w(l) wrt l.\nAnswer: 408*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 327372240*r**3 + 49374*r**2 - 165*r + 2?\nAnswer: 1964233440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -2*f + 72*f**3 + f**2 - 38 + 28 + 11. What is the lowest common multiple of i(1) and 80?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = l**2 + 3*l - 10. Let i be d(-6). Suppose 3*x = i*x. Let s(a) = a**3 + a + 10. Let u be s(0). Solve -2*p + 4*p - u = x for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -4*h - 50*h + 0*h**2 - 2*h**2 + h**4 + 13*h as l + o*h + k*h**4 + t*h**2 + s*h**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m\/(m**(-4\/5)*m*m))\/(m*m**22\/m*m))\/(m**(6\/7)*m*m\/m**17) assuming m is positive.\nAnswer: m**(-317\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is -2732 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 16 (b) -4 (c) 2\/3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Divide -3 by -208.\nAnswer: 3\/208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = -676*r**2 + 3*r - 2. Let k be y(2). Round k to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*a + 12 = -8*a. Let u be -2400*(0 + 3 - (-14018)\/a). Round u to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -40*w**2. Let n(y) = -17*y + 29. Let l be n(-23). Let s(j) = 2 - 422*j + l*j - 2. Give s(k(t)).\nAnswer: 80*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 1\/8, 12\/7, 10, -10 in decreasing order.\nAnswer: 10, 12\/7, 1\/8, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1 + 3*t**2 + 0 - 2*t**2 + 2*t**3 + 1 - 1069*t - t**3 to the form z + y*t**3 + o*t**2 + n*t and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -141580 (base 14) to base 15\nAnswer: -db04e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = -160 + 267. What is the second derivative of i*g + 10*g**3 - 4*g + 21*g**3 wrt g?\nAnswer: 186*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*o - 3*y - 8, -2*o = -6*o - 2*y. Suppose 0 = -o*r + 3*u + 14, 14 = r + 3*u - 2. Solve -2*s = 2, a = -2*a - 4*s - r for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 128*p**4\/11 - 416*p**3\/11 - 1032*p**2\/11 - 430*p\/11 - 50\/11 = 0. What is p?\nAnswer: -5\/4, -1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -1, 117, -16, -3 in increasing order.\nAnswer: -16, -3, -1, 3, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 63*o**3 - 23*o**2 + 36*o**2 + 2*o - 21*o**2 + (-5*o + 2*o**2 + 5*o)*(-6*o + 2*o + 2*o) to the form k + z*o + x*o**3 + v*o**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = 443*u + 79. Let b be l(8). Suppose -65*w + 31053 = b. List the prime factors of w.\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*c + 8*c = -45. Is 9 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 - 13 - -41 - (746 - 599)?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wx when two letters picked without replacement from {q: 2, u: 1, z: 1, r: 1, x: 1, w: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose g - 1132 + 1123 = 0. Calculate the lowest common multiple of g and 300.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yi when two letters picked without replacement from {i: 4, y: 9, l: 4}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1\/(1*-6)*-8*-3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*2*sqrt(1694)*-6)\/(((sqrt(4) + sqrt(64))\/sqrt(2) - (sqrt(2) - sqrt(32)*-6))*3).\nAnswer: 66*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3125 and 2625?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4 + -40 + -1 + ((-873)\/(-99) - (-58)\/319)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yb when two letters picked without replacement from {e: 2, z: 1, b: 3, m: 1, y: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) be the first derivative of -j**3\/3 - 9*j**2\/2 + 9*j - 3. Let h be v(-6). Let k = h - -12. Calculate the remainder when k is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12284290.116 rounded to the nearest one thousand?\nAnswer: 12284000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k be -3 - (-3 + 2 + 3). Let x = k + 12. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = -1425*x + 563653. What is b(396)?\nAnswer: -647","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11*h**2 + h**2 + 147*h**2 + 65*h**2.\nAnswer: 224*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 15913 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 779 and 369.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k be 19\/(-1) + 2 + -1. Let a be 261\/(-30)*4 + (-11)\/55. Let x = k - a. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*d**2 - 87*d + 462.\nAnswer: 3*(d - 22)*(d - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -96, -5\/6, -5, 0.2 in ascending order.\nAnswer: -96, -5, -5\/6, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -8892*q**2 + 79990*q + 343. Determine u(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-13*g**2 - 7*g**2 - 8*g**2)*(1 + g - 1)*(152 + 41*g - 152).\nAnswer: -1148*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: Let l be -2*2 + 2 + -2. Let o = -1954\/7 + 280. Which is the closest to 1? (a) 0.3 (b) o (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -119 + 118. Which is the closest to 2? (a) 3\/2 (b) 0.1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 7, 3, 5, -44, 193.\nAnswer: -44, 3, 5, 7, 193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 14, -0.2, 2\/133?\nAnswer: 2\/133","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 1205022 (base 12) in base 2?\nAnswer: 1101010100100111011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(-6*-2*sqrt(252) - sqrt(252))*5 + 3.\nAnswer: -1650*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g = 504 - 502.945. Let k = 0.065 - g. Let f = k + 0.59. What is the second biggest value in 2, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) be the third derivative of -t**4\/24 - t**3\/6 + 2*t**2. Let a be b(-3). Let s(i) = -i - 2 + 0*i - a. What is s(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 32 and -17 + 13 + -1 + 1 + 228.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 3 - 3)*(3 - 3 + 2*a) + a + 2*a - a - 2*a + a + 3*a + 0 - 3*a + 0 + (2*a - a - 3*a)*(0 + 0 + 2).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-20 - -36 - 31) + 27 + 87.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -42*r + 58*r = 9280. List the prime factors of r.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 211256 is divided by 510?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k be 42\/(-63)*27\/(-6). Suppose 1 = -4*m + 7*m + 5*b, 0 = k*m + b - 5. Put m, -3, 3, 0 in ascending order.\nAnswer: -3, 0, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.04165 (b) -2 (c) 1\/2 (d) 1\/10 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l - 2 = -2*w, 39*l - 40*l - 10 = -2*w. Sort 4, l, 32, -8.\nAnswer: -8, l, 4, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2 less than 0.0968?\nAnswer: -0.1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = -n - 16. What is m(16)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.6*3714930.\nAnswer: 2228958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*s**4 + 62*s**3 + 3201 + 93*s**3 - 3201.\nAnswer: -5*s**3*(s - 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wnnnnnnnnnnwwnnwnn. What is prob of sequence nww?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = -762409*x - 3812049. Calculate u(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -t - 2*t + 48. Suppose -4*l + a + 10 = 0, 0 = 2*l - 0*a + 5*a - t. Let q be 2\/2 + (-2)\/2. Solve q = l*m + m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 1113 (b) -0.03 (c) 233\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((5*sqrt(156)*2 + sqrt(156))\/(4*(sqrt(3) + (sqrt(3) - ((sqrt(12)\/sqrt(4) - sqrt(3)) + sqrt(3))))))\/((4*sqrt(576))\/(1*sqrt(9)*-2)).\nAnswer: -11*sqrt(13)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 11\/2 of a week?\nAnswer: 924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = 3*y**2. Let x(d) be the second derivative of -7*d**6\/90 - 23*d**4\/12 + 3*d**2\/2 + 90*d. Let w(i) be the third derivative of x(i). Calculate w(q(t)).\nAnswer: -168*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = w**3 - 4*w**2 + 2*w - 8. Let h be l(4). Let d = 1452 - 4303\/3. Calculate the common denominator of d and h\/(-2) + (-48)\/(-32).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 100011100110111101000 (base 2) to base 14.\nAnswer: 225328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) be the third derivative of -1\/105*h**7 + 17\/60*h**5 - 1\/6*h**8 + 0*h**4 - 42*h**2 + 0 + 0*h**6 + 0*h + h**3. Find the third derivative of l(r) wrt r.\nAnswer: -3360*r**2 - 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o + 96 = 3*j, 0 = -4*o + 5*o + 3*j - 48. Calculate the remainder when 91 is divided by o.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1427*t*z**2 + 3*t*z - 3*t + z + 55 wrt z.\nAnswer: -2854*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s = 2*p - 22, -17 = -4*s + 3*s + 5*p. What is the remainder when (-4)\/(-8)*1*42 is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2293 + -2288. Solve q + 28 = -v*p, 16 = -4*q - 2*p - 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -117\/40 and 307\/(-792) + 0 + 4\/(-22).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 625055.89 to the nearest 10000.\nAnswer: 630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in 0, 637, -437\/6, -1\/3, -5, 1\/3?\nAnswer: -437\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w*w**(1\/7)*w)**(-34)*(w*(w\/(w**(-5)*w))\/w*w)\/(w\/w**1) assuming w is positive.\nAnswer: w**(-468\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 361 divide 590596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide -35841780 by -398242.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 70067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -2, -1, -45 in increasing order.\nAnswer: -45, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -h**2 + 6*h. Let w(k) = -k**2 - k. Let s = 323 + -324. Determine s*l(b) - 4*w(b).\nAnswer: 5*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 2\/3 (b) -4 (c) -1 (d) -0.17 (e) 0.11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -k - 443 = 631*w - 738*w, 68 = 2*w - 4*k for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tyt when three letters picked without replacement from ttyttttttttt?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-4)\/(-2) + -2)\/(-2). Let b(r) = -r + 1. Let c(d) = d**2 - 4*d - 4. Let p(h) = 5*b(h) - c(h). Determine p(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 466 minutes after 4:41 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = 143*b**2 + 22*b + 187. Let h(t) = t**2 - 2*t. Suppose -20*u = -3 + 23. Let z(n) = u*q(n) - 11*h(n). What is the first derivative of z(c) wrt c?\nAnswer: -308*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w - v = -119 - 36, 3*w = -4*v - 130. Let s be w*(45\/(-6) + 3). Suppose 18*y - 209 - 241 = 0. Calculate the highest common factor of s and y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 89*a**4 - 89*a**4 + 59*a**5 + (0*a**2 + 0*a**2 - a**2)*(4 - 4 - 2*a**3) - 2*a**4 + 2*a**4 + 2*a**5 + (2*a - a + a)*(-1 + 2*a**4 + 1).\nAnswer: 67*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t = -24 - -24. Suppose 3*o + 3*x + 9 = t, 4*x = 3*o - o - 24. Let 2*s**3 + 0*s**2 - 3*s**o + 2*s**3 + 2*s**3 - 3*s**4 = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 149732?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21 = -2*m + 16 + 3. Are 1013 and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the next term in 5374, 5454, 5652, 6022, 6618?\nAnswer: 7494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*z + 3*x + 16113 = 16138, -3*z = 2*x - 15 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -22*q - 26*q + 5*o + 8 = -47*q, -4*q + 3*o = 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -w - 3*u - 7 = 0, -2*w + 4*u = -w - 21 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3*g**2*w**3 - g**2*w**2 - 599492*g**2*w - 15*g*w**3 + 142540*w**3 + 72 wrt w.\nAnswer: 18*g**2 - 90*g + 855240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-two fifths of a microgram in nanograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -33045 (base 6) to base 4\nAnswer: -1013111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.05028 - -0.1223. Let v = p - 0.171. What is v rounded to 4 dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n**0*n**(-2))\/(n**(2\/15)*n**1*n*n*n))\/((n\/(n\/(n\/(n*n**(-1\/2)))))**33*(n**6*n)\/n**4) assuming n is positive.\nAnswer: n**(-769\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 52 = -3*z - 203. What is the units digit of (-20)\/(-50)*z\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -x + 13. Let v be s(10). Suppose -21 = -v*y - 6. Let o(b) = -b**2 + 6*b - 5. Calculate o(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(160)*4 - sqrt(160))\/(sqrt(32)\/sqrt(4)*3).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -42*m**2 - 105*m + 16. What is y(-8)?\nAnswer: -1832","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -111*i + 311 = -476 + 232 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -60, -118, -176, -234, -292?\nAnswer: -350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 527285 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 44*m + 61 + 57 - 377 + 53 + 206.\nAnswer: 44*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = p. Let x(y) = -3050177038*y**2. What is x(m(q))?\nAnswer: -3050177038*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-15)\/6*((-1)\/3 + 1265\/5775). Is a greater than 3\/730?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 37\/30688 and 101\/20.\nAnswer: 153440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.438 - 0.038. What is the nearest to 2 in 2\/3, g, -0.5, 6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = -i**2 + 116*i + 5071. Calculate p(150).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -352, -705, -1058, -1411, -1764, -2117?\n\"Answer: -353*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 6\/11 (b) 3 (c) -1\/7 (d) 0.02 (e) -0.3 (f) 0.29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -244852, -489704, -734556, -979408, -1224260?\nAnswer: -1469112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 605, 1194, 1765, 2318?\nAnswer: 2853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1362*i = 1368*i - 960. Is i a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = -3379*r**3 - 22*r**2 - 15420*r. Let u(a) = -676*a**3 - 4*a**2 - 3083*a. Let g(q) = 2*n(q) - 11*u(q). What is the second derivative of g(c) wrt c?\nAnswer: 4068*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4 + 3 + 0)*(4*l**2 - l**2 - 5*l**2) + 0*l**2 - l**2 + 0*l**2 to the form x + m*l**2 + y*l and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*r = 3*q + 27, -3*q - 103*r + 106*r - 51 = 0 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = g**2. Let b(q) = -9*q + 4. Let d(z) be the third derivative of -143*z**4\/24 + 65*z**3\/6 + 5*z**2. Let s(o) = -65*b(o) + 4*d(o). What is s(y(i))?\nAnswer: 13*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u*u\/u**(-3\/7))\/u)**(-41) assuming u is positive.\nAnswer: u**(-410\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -k**2 - 26*k + 63. Let x be o(-26). Let u = -28 - -50. Let n = 64 - u. What is the highest common factor of n and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000567605346 rounded to six dps?\nAnswer: -0.000568","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(3136) - -5*sqrt(3136) - sqrt(3136))*-1)\/(6*sqrt(7)*4*2).\nAnswer: -5*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*((sqrt(17) - sqrt(119)\/(sqrt(14)\/sqrt(2)) - sqrt(17)) + 2))**2 - -5*((sqrt(833) - sqrt(833)*-2) + 3)**2.\nAnswer: 626*sqrt(17) + 37551","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = q**2 + 190*q + 85010. What is the hundreds digit of s(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-7)\/(-2) - (-3)\/6. Suppose 2*l + a*o = 3*o, 5*l - o - 14 = 0. Let f be (l*-1)\/(4\/(-24)). What is the greatest common divisor of f and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 3\/17, 0, -3, 6 in increasing order.\nAnswer: -4, -3, 0, 3\/17, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = 4*q - 59. Let x(a) = -a**3 + 10*a**2 - 2*a - 6. Let g be x(q). Let i = g + 340. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = z**3 - 7*z**2 + 8*z - 9. Let p be b(6). Suppose 2 = 2*h - 3*k + 7, -4*k + 4 = 0. Sort h, -3, 0, p in decreasing order.\nAnswer: p, 0, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*g**2 - 54*g**2 + 47*g**2 + 6*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*a + 7 = -j - 3*a, -19 = -5*j + 2*a. Suppose 0 = j*l - 12*l - 37800000. Round l to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 5.810302 millilitres?\nAnswer: 0.005810302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -2, 8, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*x - 20*z + 16*z + 14, -z = -3*x - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.3? (a) 98 (b) 3 (c) -0.12 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 n when two letters picked without replacement from anashssssnaasnnanh?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v + 52 = 4. Suppose -2*l = -h + 4, 0*h - 3*h + v = -3*l. What are the prime factors of h\/2*(-9)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-9)\/(-18))\/(1\/24). Suppose q = 3*k + k. Let i(v) = -k - v - v - 3*v + 2*v. Give i(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q + 18 = 3*g, -2*q + g = 4*g. Find the common denominator of 103\/6 and ((-59)\/(-24))\/(2 - 6\/q).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) be the first derivative of n**3\/24 + 3809*n**2\/8 + 14508481*n\/8 + 10065. Suppose u(v) = 0. Calculate v.\nAnswer: -3809","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7 times 281?\nAnswer: 1967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-20)\/39 + 1\/(-30)*-5. Let y = 1\/78 + v. Which is the second biggest value? (a) 1 (b) -3 (c) -0.1 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: Let p(o) = o**3 - 7 - o**2 + 11 + 311*o - 152*o - 160*o. Calculate p(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 18076 is divided by 241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 49419 divided by -867.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find q such that q**2\/4 + 955677*q\/4 - 1672447 = 0.\nAnswer: -955684, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = -i**2 - 35*i + 9. Let f be j(-35). Let p(s) = f*s + 20*s - 21*s. Let w(h) = -5*h. What is w(p(a))?\nAnswer: -40*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -2 (b) 0.6 (c) 2.66 (d) 3\/7 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*y + 15*y - 611 = u, 2*y - 413 = -5*u. Suppose 2*s = -s + y. Calculate the greatest common factor of s and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 38747931 a multiple of 187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x = -14.67 + 9.67. Let v = 247 + -250. Which is the closest to -10? (a) 3 (b) v (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 28133.\nAnswer: 7, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(99)\/(sqrt(36)\/sqrt(4))*-4)**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = -j**3 - 37*j**2 + 204*j + 39. Calculate m(-42).\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 146996540 or 146996537?\nAnswer: 146996537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 13.76152 tonnes in nanograms?\nAnswer: 13761520000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -133491290, -266982581, -400473872?\nAnswer: -533965163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4*sqrt(931))**2 + -6*-1*sqrt(19) + sqrt(171)\/sqrt(36)*2 + 4)*4.\nAnswer: 28*sqrt(19) + 59600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 58 times 1.1078\nAnswer: 64.2524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 2104 divided by 4?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12500?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*f - 7*f - 8 = 0, -2*f + f = 41*v - 45*v + 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*m + 7*i = 5*i - 9, 0 = -m - 2*i - 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 18bb42 (base 12) to base 10\nAnswer: 435362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = d**2 + 3*d - 23. What is p(-8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*j**4 - 2 + 2)*(0*j + 2*j - j)*(1 + 1 - 3 + 2 - 1 + 0 + (-5 + 0 + 3)*(-4 + 0 + 2) - 4 - 1 + 6).\nAnswer: -15*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort -42, -18, -0.5, 10 in ascending order.\nAnswer: -42, -18, -0.5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand -1 - d**2 + 1 + (-3*d + 2*d + 0*d)*(-2 + 2 + d) - 58*d**2 - 1382 + 1382.\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 112008724 is divided by 530847.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*b - 59 = -1515. Which is smaller: 90 or b?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*o + 0*o + 2*o)*(1 - 4 + 1) + 7 + o - 7 + o - 2*o - 3*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*s**4 - s**4 + 0*s**4 + (-6*s**3 + 3*s**3 + 2*s**3)*(0 + 0 - 2*s) + (-2 - 2*s**2 + 2)*(-2*s**2 - 3*s**2 + 4*s**2) + s**4 + 3*s**4 - 3*s**4.\nAnswer: 6*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 15\/4 of a microsecond in nanoseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1333 and 5?\nAnswer: -6665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 63*h = -160 - 155 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.6644526 years in centuries?\nAnswer: 0.006644526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z be -11 + -2*(-2)\/4. Let u(w) = -w + 8. Let b be u(z). Solve -r = g - 5*r - 11, -b = -4*g + 3*r for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + sqrt(52) - sqrt(13) - (sqrt(78)\/sqrt(3))\/sqrt(2)) + -2 - (2*sqrt(117)*-1 + sqrt(117))\/(-2*sqrt(9)*-2).\nAnswer: -1 + sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1319761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 131608*l - 2276*l**2 - 131608*l + 262 with respect to l.\nAnswer: -4552*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dif when three letters picked without replacement from iiiibifidifb.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) be the third derivative of 0 + 361\/12*r**4 + 75*r**2 + 1\/720*r**6 + 19\/60*r**5 + 13718\/9*r**3 + 2*r. Solve k(c) = 0.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) be the third derivative of c**8\/1680 + c**7\/1050 + 4*c**2. Factor j(p).\nAnswer: p**4*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 8 - (-5)\/(25\/10). Let z(g) = -f + 2 + 9 - 3*g**2 - 3*g**3 + g + 5*g**3. Calculate z(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 1726 + 203326?\nAnswer: 205052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 392056 is divided by 1371.\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 474 minutes before 2:33 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = 9*u - 14. Calculate n(6).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = -4*z + 230. Suppose z*j - 43*j - 10356 = 0. List the prime factors of j.\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 7174033, 28696122, 64566271, 114784480, 179350749?\nAnswer: 258265078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -2*b**3 + 3*b**2 + 9*b + 2. Let v be n(3). Let c(t) = t**2 - 5*t + 1. Calculate c(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2\/7 (b) 84 (c) -112197\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w = 172 - 47. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -6 + 3. Let l = -11\/4 - r. Which is the closest to l? (a) 3 (b) 0.1 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1097 + -3292\/3. Which is greater: 0.64 or l?\nAnswer: 0.64","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 7\/8 of a centimeter?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: (3 - (4 + 2 + -5)) + 466 + -469\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 + 20 + 1)*(4*s**3 + 1 - 2 - 3*s - 2*s) + (-5*s**3 + 5*s**3 + s**3)*(3 - 1 - 3) to the form a*s**2 + p*s + k + n*s**3 and give k.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1363644.\nAnswer: 2, 3, 37879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k = -43 + 46. Suppose 0*w = -3*w + 6. Solve 0 = 5*f - o - k, w*o = o - 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2.7 - 172716878.\nAnswer: -172716880.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (-3630)\/4950 + (1*1\/(-6) - -1)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(200) + 0 + sqrt(200) - (-5 + sqrt(200)*2) - 3*(sqrt(72)\/(sqrt(4) + sqrt(4)*-2 + sqrt(4) - sqrt(4)) + sqrt(18)))**2.\nAnswer: -200*sqrt(2) + 825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hd when two letters picked without replacement from {h: 6, d: 8, q: 1}?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1077072 is divided by 114?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = -h**3 - 6*h**2 - 4*h - 59. Give w(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r be 66\/8 - 2\/8. Let z = -479 + 481. What is the derivative of r*b**3 + 6*b**2 - 4*b**3 + 10 - 6*b**z wrt b?\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -2280751, -2280756, -2280761, -2280766?\n\"Answer: -5*f - 2280746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = -66 + 44. Let q = -21.8 - z. Is -4 != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 44419.08 millimeters to kilometers.\nAnswer: 0.04441908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:00 PM and 3:43 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u = 103 + -17. Let s be (u\/4 - 1)*(-12)\/(-6). Let m = s + 61. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find o such that 2*o**5\/9 + 11138*o**4\/9 + 609940*o**3\/3 + 9061148*o**2 + 49010994*o + 70871922 = 0.\nAnswer: -5401, -81, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 26 a factor of 1352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 524, -0.2, 97, -45, 0, -5?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (14 + (-55 - -26) - -102) + -29?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*q + f + 208774 - 208767 = 0, -3*f - 16 + 1 = -3*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*y - m = -7, 0 = 5*y + 45*m - 44*m - 7 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c be 0\/(-4) + 2 + 18. Let h = c + 13. What is the remainder when 65 is divided by h?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:03 AM and 6:07 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 8223\/17 or 485?\nAnswer: 485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) be the third derivative of -347*s**9\/504 + 2*s**5\/15 + 5*s**4\/8 + 440*s**2. What is the third derivative of y(i) wrt i?\nAnswer: -41640*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 2*x**5\/5 + 43432*x**4\/5 + 235314106*x**3\/5 - 5192382604*x**2\/5 + 30232862592*x\/5 - 52924552128\/5 = 0. What is x?\nAnswer: -10869, 4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -b**3 - 4*b**2 + 2*b + 1. Let u be h(-5). Let n = 1 + u. 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 remainder when 50 is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide -4 by -7849.\nAnswer: 4\/7849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:01 PM and 12:08 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -876026.64 rounded to the nearest 100?\nAnswer: -876000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 116*q + 250 = 126*q. What is the highest common divisor of q and 775?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -41669, -83160, -124651?\nAnswer: -166142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -s**2 + 3*s - 1. Let r be y(4). Suppose -3*n - 1 = -2*h + 3, 4*n = -h - 20. Let m = n - r. Is -0.6 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -229 + 259. Suppose -4*c - 4 = -2*t, -c + 3*t - 2*t + 1 = 0. List the prime factors of l\/(-4)*(c - -1).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 40*y = 32*y + 8 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l be 16\/(-312)*3 - 280\/(-130). What is the fourth biggest value in l, -5, 150, -1\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 283 minutes before 2:08 PM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 3\/7, 1\/7, -8\/5, 3\/5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-601 - -608 - (1 + 0)) + -25 - 11.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1776 and 7072.\nAnswer: 784992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 18 + (2 - (-15 + 59)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.6 - -7.4. Let p = d - 7. Which is the closest to p? (a) 0.5 (b) -4 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -5 + 3. Let l(b) be the first derivative of -b**2 + b + 3. Let g be l(m). Calculate the highest common factor of 35 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 386\/15 + -13901\/540. Find the common denominator of 107\/342 and m.\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 38 + -27. Let x = q - 11.03. Let z = -0.23 - x. Which is the second smallest value? (a) 5 (b) z (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 4\/7, 0.5, 1\/5 in decreasing order.\nAnswer: 4\/7, 0.5, 1\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*n**2\/5 + 828*n\/5 + 3858152.\nAnswer: -4*(n - 2302)*(n + 2095)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 2 (b) 5.26 (c) 3\/4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 41844 and 11217996.\nAnswer: 123397956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (12\/160*104)\/((-9)\/(-60)*1*2).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -2\/11 (b) -2 (c) 4 (d) -68\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n = 23 + -21. Suppose n = 3*y - 43. Calculate the remainder when 42 is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(40)\/sqrt(2)*-1 + sqrt(20))\/(sqrt(10) - (sqrt(10) - ((sqrt(10) - sqrt(10)*-1)*-6 + sqrt(10)))) + (sqrt(490)*-2 - sqrt(490))\/(sqrt(80)*-2).\nAnswer: 21*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lalublablllllbbbub. Give prob of picking 2 l.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3\/((-15)\/(-4)))\/(48 - (-27 - -76)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f = -0 - 24. Let d(i) = i**3 - 8*i**2 + 5. Let l be d(f). Suppose 0 = -l*c + 439 + 306. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28 = 2*j - 4*j. Calculate the remainder when 53 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -7 - -7. Suppose 3*a - 39 + 12 = m. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -l + 0*l = -5*t + 2, 0 = 5*t - 2*l - 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -83780 + 205*c + 83780 - 201*c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 49775 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y + 3*i - 772 = 0, -2*y = -1304*i + 1299*i + 760. Do y and -388 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -6925*m**4 + 4*m**3 + 6926*m**4 + 11*m - 2*m**3 + m**2 as k*m**2 + u + b*m + h*m**3 + t*m**4 and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -2064*v + 55 = -2053*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i = -6 - -10. Let j be ((-8)\/(-7) + 4)\/(3\/14). What is the highest common divisor of j and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 29198 to the power of 1\/2, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = z. Let w(n) = 2*n**2 - 15*n. Let t(c) = 3*c**2 - 29*c. Let i(o) = -4*t(o) + 7*w(o). Give h(i(g)).\nAnswer: 2*g**2 + 11*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.2, -3769, -1, -23 in descending order.\nAnswer: 0.2, -1, -23, -3769","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1367 - 890. Calculate the greatest common divisor of 159 and s.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = -b**2 - 6*b + 4. Let a be l(-6). Suppose a*z = 3 + 5. Let s be 0 + z + (-13)\/6. Is 1 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -4*n**2. Let j(m) = 1117*m - 2002*m - 1 + 1 + 1131*m. Determine a(j(o)).\nAnswer: -242064*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 70 and 20520550?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jnjnjjd. Give prob of sequence djj.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand -15 + 15 + 2*c + 2*c**2 - 2*c + 2*c - 2*c**2 + (-5 + c + 5)*(4*c - 4*c - c) + c**2 - 3*c**2 + 4*c**2 - c**2 + 0 + 0 - 3*c**2 + 0*c**2 + 2*c**2.\nAnswer: -c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -99*o. Let m(q) = -q**2 + 36*q. Let j(g) = 8*d(g) + 22*m(g). Let u(s) = 3*s - 35. What is j(u(a))?\nAnswer: -198*a**2 + 4620*a - 26950","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 43\/129 + (0 - (-38)\/(-78))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -42b - -6a4b?\nAnswer: 6620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 28 divide 840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 4*c + 2*q, -3 = -4*q - 19. Calculate the highest common factor of c and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from taauoiaatttttttaa. Give prob of sequence aa.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -156204 - -30741?\nAnswer: -125243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q be -4 - 687575\/(-924) - 6\/(-8). Let j = 741 - q. Is 1 at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2662880 and 1320?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o + 209 = r + 2*o, -3*o + 609 = 3*r. Suppose -2*p = 2*p - r. Suppose 2*q = -2*b + p, -5*q + 96 = -2*q - 4*b. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 17 - ((-3 - 5 - -10) + 8 + -3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = -2*t**4 + t**2 - t + 5. Let m(w) = -50*w**4 - 2*w**2 + 163*w - 20. Let z(r) = 5*l(r) + m(r). Find the second derivative of z(d) wrt d.\nAnswer: -720*d**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8.775918 nanometers in millimeters?\nAnswer: 0.000008775918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 554204?\nAnswer: 2, 7, 19793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -54 divided by 18\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 86\/21 and 17\/1974.\nAnswer: 1974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(-1\/3))**22 assuming m is positive.\nAnswer: m**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = 3*j**3 - 3*j**2 - 3*j - 4*j**2 - 64 - 9*j**2 + 37*j - 2*j**3. Let x be v(14). Solve -3*z + 5 - x = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -513304562 + -3?\nAnswer: -513304565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 328 and 43091?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1273*b**4 - 41*b**3*y - 284999*y wrt b.\nAnswer: -5092*b**3 - 123*b**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t = -88 - -90. Suppose 0 = a - 5, -t*a = -4*p - 762 + 100. Let l = -142 - p. Calculate the highest common factor of l and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 243 divide 358086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -21 (base 11) in base 3?\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*x**4 - 813 - 2*x + 4*x**3 - x**3 + 814 - 2*x**2 to the form p*x**4 + m*x**3 + b + z*x**2 + a*x and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1232328 and 924246.\nAnswer: 3696984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 130457 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*y + 5*y - 3*y)*(354 - 190 - 1026 - 607).\nAnswer: 4407*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 67893 and 2155245.\nAnswer: 920289615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -8*j**2 + 9*j - 48. Let o(z) = 2*z**2 - 2*z + 11. Let d(u) = -26*o(u) - 6*x(u). Suppose 0 = 4*q - 3*f - 7, 0*f - 4*f = 5*q + 30. Give d(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 3 + q + 0*q)*(-2*q + q - 2*q).\nAnswer: -3*q**2 - 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*u - 5*j + 27, 4*u + 3*j - 21 = 54. Calculate the remainder when 91 is divided by 666\/u + (-2)\/(-28)*4.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 342*j**6 - 14*j**5 - 91*j**4 + 2942*j**2 - 717*j?\nAnswer: 41040*j**3 - 840*j**2 - 2184*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify s**(-1\/6)\/(s\/(s**(-1)\/s*s))*s*s**2*s*s\/s**7*(s\/(s\/s**(-1\/3)))\/s*s\/(s\/(s*s\/(s**3\/s)*s*s)*s)*(((s**(2\/5)\/s)\/s)\/s)\/(s\/s**5) assuming s is positive.\nAnswer: s**(-31\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c = 5335 - 5335.128. What is the fourth smallest value in 5, 2\/5, -3, c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 4\/129800709?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -10001010100100 (base 2) in base 8?\nAnswer: -21244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = 6*a. Let b(c) = 183*c + 4. Let m(n) = -212*n - 5. Let l(d) = -6*b(d) - 5*m(d). Determine x(l(o)).\nAnswer: -228*o + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {n: 5, i: 4, o: 6}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*sqrt(539))**2 + sqrt(539) + 0 + -5*(sqrt(11) - (sqrt(11) - (sqrt(11) + 2) - sqrt(11)))**2*-3 + 2)*3 + -3.\nAnswer: 381*sqrt(11) + 8631","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 5, -174, -1 in descending order.\nAnswer: 5, -1, -3, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -45, -46, -47, -48?\n\"Answer: -k - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -9987, -39946, -89879, -159786, -249667, -359522?\n\"Answer: -9987*g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**(-2\/15)\/z**(-1\/3))\/(z\/z**7*z*z**(-2\/29)))\/((z*z\/(z\/(z**2\/z)))**(-4)*(z\/z**2)\/(z\/(z*z\/(z**(-2)\/z)*z))) assuming z is positive.\nAnswer: z**(1344\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand -11*m**2 + 16*m**2 + 25*m**2 + (-2*m + 2*m + 3*m)*(0*m - 2*m + 0*m) - 1 + 1 + m**2.\nAnswer: 25*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a*a**(-5)*a)\/a*(a*a*a**(-14)*a*a*a)\/a)**(-12) assuming a is positive.\nAnswer: a**168","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x + 0*x = -9. Let j be x + (-2)\/(-2) - 1. Solve 5*v = -j*d + 7*d + 6, -2*v - 4 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(312)\/(sqrt(200) + sqrt(8)) + sqrt(39))\/(-6*sqrt(363) - sqrt(3)) + -2.\nAnswer: -2 - 7*sqrt(13)\/402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j be 20*(9 + 1236\/(-138)). Are 0 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = 7*w**2 + 6*w. Let s(x) = x**2 + x. Let o(p) = -6*s(p) + v(p). Let d(k) = 53*k**2 - 10*k**2 - 16*k**2. Calculate d(o(c)).\nAnswer: 27*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 105336 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -380*l**3 - 19*l**3 + 4*l - 4*l.\nAnswer: -399*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 154, 220, 312, 442, 622?\nAnswer: 864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 573 minutes before 6:56 PM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 129447 is divided by 25857?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = 3*s, -3*s + 31 = 4*d + 109. Let m(x) = 5*x**3 - 6*x**3 - 6*x**2 + 12 - 12*x**2. What are the prime factors of m(d)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 11 + 0 + -29 - -16.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand 1 - 3*b - 3*b + 3*b - 2 + 2 + 2*b + (3 + 2 - 4)*(0 + 2*b + 0) + 3*b - 5*b + b - 3*b + 0*b + b + 0 - b + 0 - 4*b + 0*b + 3*b.\nAnswer: -4*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23 - 43 = -4*c. Is (-165642)\/(-24) + c - 3\/(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*w - 7*k = 1, -2*w + 1014*k - 25 = 1009*k - 21 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -45\/14 and 5\/298.\nAnswer: 2086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x = 9562676098 - 9562094123.09065. Let w = x - 581950. Let y = w + -24.9. What is y rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -35\/27 less than 76.22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2578 and 352?\nAnswer: 453728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l = -120 + 123.6. What is the fourth smallest value in 0, 18, -0.1, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -31*i - 50. List the prime factors of c(-9).\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1095 divided by 6?\nAnswer: 365\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - l - 20 = 2*l, 0 = z - l - 10. Let x = -5 + 8. Suppose x*u - 38 = -z. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -80 + 316?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 16 + 2 - 7 - 11 + v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zz when two letters picked without replacement from {z: 3, q: 1, x: 4, n: 3, h: 8}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -10.252 rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -8882.7795 rounded to the nearest one hundred?\nAnswer: -8900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1, 10\/43, -2?\nAnswer: 10\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -16 in -2, 7\/11, -0.031?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) be the first derivative of -32\/5*h - 2\/15*h**3 - 5 + 8\/5*h**2. Factor r(n).\nAnswer: -2*(n - 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = 22*g + 550. Let q be p(-25). Let i(j) be the first derivative of 0*j - 5\/4*j**4 + 6 + q*j**2 - 1\/3*j**3 - 4\/5*j**5. Factor i(m).\nAnswer: -m**2*(m + 1)*(4*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine a so that -36*a**5 - 14280*a**4 - 52036*a**3 - 62944*a**2 - 25152*a = 0.\nAnswer: -393, -4\/3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 158324 and 19252.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 7 (b) -2 (c) -2\/39 (d) -4\/5 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 30542 a multiple of 285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: (8\/(-6))\/((-5)\/15)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*f - 34 - 26. Let h = 15 + f. Solve 0 = g - h*g - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -3 (b) 1\/2 (c) 60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 158525 and 850.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.13 - -53.\nAnswer: 53.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: ((-1)\/(-1))\/(22\/22)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 23409329?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-5*(sqrt(684) + -2 + sqrt(684)) - ((sqrt(38)*3)\/sqrt(2) + -1)) + 5)**2.\nAnswer: -2016*sqrt(19) + 75667","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 0 > -165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -137, -5, -6 in descending order.\nAnswer: 3, -5, -6, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s = 9 - -319. Suppose 605*q - 544*q = 366. Calculate the smallest common multiple of s and q.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:05 AM and 5:22 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 23 - (37 + (-1 + 715)\/(-21))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-133 - 36111*a + 36112*a - 133)*(-a + 4*a - 6*a) to the form h + d*a**2 + p*a and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 5, 8, 11 in descending order.\nAnswer: 11, 8, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*g - 12*g = -165. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12396755 + -6.\nAnswer: 12396749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-14)\/(-21) + (-8)\/(-6). Suppose 0 = -p - a*o - 8 + 28, 4*o = -4*p + 96. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2\/1561 - 35909\/4683. Let s = 14433\/55 + -1323\/5. Find the common denominator of p and s.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 6977 from -1.\nAnswer: -6978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-114)\/57*15\/(-6)*-3.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o\/o**(-7\/3))\/(o*o\/(o**(1\/7)*o*o)) assuming o is positive.\nAnswer: o**(73\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-249 - 473 + 462)*(9*i + 0*i + 0*i).\nAnswer: -2340*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 2, a: 4}. What is prob of picking 2 a?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n = -4684998 - -117142361\/25. Let b = n + -696. Find the common denominator of 54\/35 and b.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2 + 1 + 9189 + -4 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: (36\/270)\/((2816\/(-400))\/22)\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r = r + 3*m, 3*r + 5*m = 0. Solve -6 = -r*b + 2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 240794 is divided by 583.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 103, 360, 4 in increasing order.\nAnswer: -2, 4, 103, 360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -64 = -4*o + 12*c, -142*o + 23 = -140*o - 3*c for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-23 + 13 - 125 - 197)*(-2*p**4 + 0*p**4 + 4*p**4 - 4*p**4 + 4*p**4 - 2*p**4 + (0 - 5 + 4)*(-4*p**4 + p**4 + 2*p**4) + p**4 + 3*p**4 + 11*p**4).\nAnswer: -5312*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.1 - 0.3. Let i = 63.913 + 0.087. Let q = 65 - i. Which is the nearest to f? (a) q (b) -5\/4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from eftfftzeeqzfcettz. What is prob of picking 1 q, 2 f, and 1 e?\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -1, -6\/67, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 319 and 3915?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 4182, 8604, 13036, 17478, 21930?\n\"Answer: 5*f**2 + 4407*f - 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -100 (base 2) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 3\/7, 5, 3, -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0*-7929.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = 16*r**3 - 13*r**2 - 2*r + 8. Suppose -q - 11 = -14. Is 8 a factor of i(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 9189937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = -v**3 - 66*v**2 + 13*v - 3648. Determine p(-67).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 5, 14, -8, 4\/5, 29, -4?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = x**3 + 5*x**2 - x + 2. Let a(k) = 4*k**2 - k + 1. Let s(d) = 4*a(d) - 3*u(d). Let f be s(-1). What is the greatest common factor of f and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 427427*a - 854850*a + 427420*a.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = 6*v - 2. Let b be p(1). Suppose -c = b*u - 85, 4*c = -7 - 5. What is the highest common divisor of u and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*q**2 + 2*q**2 - 3*q**2 + 51*q + 2*q**2 - 7 + 67*q.\nAnswer: -3*q**2 + 118*q - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v = -6.94 - -6.64. Sort -6, v, 11, 1 in increasing order.\nAnswer: -6, v, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 1259.9 and 0.12024.\nAnswer: 151.490376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-22)\/110 + ((-168)\/(-10))\/4. Let g be (-2)\/4*6\/(-1). Suppose 1506 = 3*r + g*z, r + 1507 = a*r + 2*z. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = -11*h**2 + 7*h + 21. Let t(y) = 8*y**2 - 5*y - 15. Let k(o) = -5*g(o) - 7*t(o). Let p(d) = -64*d**2. Give -80*k(n) + p(n).\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -q**2 + 11*q + 39. Let h be v(13). Solve -3*u = -j - h, -1 - 8 = u + 3*j for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 15*a - 19*a + 55*a**3 - 1015 - 21*a**2 + 8*a + 21*a**2 wrt a.\nAnswer: 165*a**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 202872 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + 0 + (sqrt(98)*1)**2 + 4 + (sqrt(98) + 3 - sqrt(98))**2 + 3 + -4.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*f - 10*f + 1417. Let w(y) = 116*y - 227*y + f*y. Let i(k) = 4*k. Let q(m) = 4*m. Let p(v) = 3*i(v) - 2*q(v). Give w(p(n)).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 1383*q**4 - 5333*q**2 wrt q.\nAnswer: 33192*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2\/75 + -61\/525. What is the third smallest value in 2\/5, -2\/5, 5\/4, z?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = 51*q**2 - 5*q - 5. Let o(m) = 763*m**2 - 76*m - 77. Determine -4*o(v) + 62*s(v).\nAnswer: 110*v**2 - 6*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -43.3+-332.44\nAnswer: -375.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose f = 2*f - 1, 2*p - 2*f + 2 = 0. Suppose -6*m + 12 + 72 = p. Solve m = -2*y - 2*k, y + 0*k - 17 = 5*k for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 252 and 56?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -9046, 5, -14, 132 in decreasing order.\nAnswer: 132, 5, -14, -9046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*m = -3 - 3. Let y = m - -10. Sort -2, -4, y in descending order.\nAnswer: y, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 14725 and 2480.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.59 + 37.59. Let m = 28.6 - x. Round m to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in t - 107*t - 246*t - 218*t.\nAnswer: -570*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*y**2 - 795*y + 795*y.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put -7, 4, -6 in ascending order.\nAnswer: -7, -6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.403 - -0.3802. Let n = 0.4772 - w. Which is the closest to 3? (a) n (b) -2 (c) 0 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -2*j**2 - 6*j - 9. Let q(x) = -x**3 + 12*x**2 - 34*x - 9. Let w be q(7). Let s be b(w). Sort -12, 4, s.\nAnswer: -12, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h - i + 50 - 5 = 0, 0 = 2*h - 4*i. Suppose -u - 8 = -2*w, 6*w = -u - 160 + 232. Calculate the least common multiple of h and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -124719 at most -124715?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = -2*p**2 - 15*p + 10. Let m be v(-8). Let x be ((-2)\/3)\/m + 42\/18. Solve x*o = -0 - 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 9 and 2607?\nAnswer: 7821","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 17262 - 40500 = -105*n - 13788 for n.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*a**2 + 4*a**2 + a**2)*(3 + 2*a**3 + 12*a**3 - 15*a**3 + 5*a**2).\nAnswer: -2*a**5 + 10*a**4 + 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 + 7 + 13)*(40*l + 723 - 723).\nAnswer: 1000*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f = -156 - -159. Solve -t = f*p + 6, 3*p = -5*t + p - 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 1695749783 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*q - 6 = -16*q. Suppose q*r = -2*r - s + 60, 0 = -r + 3*s + 2. Let j = -8 + r. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -3 - -92800648.8276\nAnswer: 92800645.8276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Product of 24 and 156907.\nAnswer: 3765768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-115)\/20)\/(3\/4)*-3027. Suppose -d + t = 4*u, u - 17394 = -2*u - 3*d. Suppose -u = -5*h - 1538. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -4*s - 63. Let z be w(-22). Solve t = 6*t + z for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -20 and 3.1836.\nAnswer: -63.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(sqrt(136) - (sqrt(136) - -2*sqrt(136))) + sqrt(136) - sqrt(136))\/(sqrt(512)*-2) + 1.\nAnswer: 1 + sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -3 + 2*p**2 - p**2 - 1 - 4*p + 0*p**2. Let v be f(5). Let q = 5 - v. What is the remainder when 7 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose g + 12 = -3*m, 0 = -0*g - 5*g + m - 28. Let n(x) = x**3 + 6*x**2 - 5*x - 7. What is the remainder when n(g) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 102091?\nAnswer: 11, 9281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (70*j + 653*j - 95*j)*(j**4 - 2*j**3 + 2*j**3 + (-3*j + 2*j - 3*j)*(0*j**3 - 4*j**3 + 3*j**3)) - 2 + 2 - j**5.\nAnswer: 3139*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/90? (a) 2\/7 (b) 1\/5 (c) -124 (d) 59\/3 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = q**3 + 6*q**2 - 5*q - 3. Let f be ((-63)\/(-9))\/((-2)\/2). Let j be z(f). Which is smaller: -18 or j?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -14, -36, -58, -80, -102?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = -6 + 3. Let d = 4 + v. Suppose -5 = -3*u + d. Solve -u*t + 0*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a - a - 32 = 0. Suppose -5*r - 4*d + 36 = 0, 0 = -3*r - 3*d + 21. Calculate the highest common factor of a and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 10 - 9.5. What is the biggest value in k, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -28, -24, -18, -10, 0, 12?\n\"Answer: g**2 + g - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 50 is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:23 AM and 9:05 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 123\/5? (a) 5 (b) -4\/5 (c) -0.3 (d) 0.2127 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -19.33116 rounded to 1 dp?\nAnswer: -19.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4*(23 - 24)\/28 - (3 + (0 - 3))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*-4*sqrt(7200)*1)\/((1*sqrt(80)\/sqrt(4) + sqrt(20))\/(sqrt(2) + sqrt(32)*4)).\nAnswer: -1224*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -4\/7, 0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-2)\/10 + (-164)\/(-20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((w*w**4)**(-8\/7))**(3\/22))**18 assuming w is positive.\nAnswer: w**(-1080\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -126 plus -5109?\nAnswer: -5235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l - 9 = 0, 0 = -5*h + 4*l - 10 + 418. Is h a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 184*n - 540 = 193*n. Put -2, 3, n, 8 in ascending order.\nAnswer: n, -2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 708620 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: What is -83 - (-95 - (-101 + 45))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -1324 (base 5) in base 9?\nAnswer: -257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 12 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -453*o + 455*o = -16 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -9\/150017 and 87\/1478?\nAnswer: 300034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 206, 0.05, -5?\nAnswer: 206","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-3)\/(-5))\/(1\/5). Find the second derivative of -19*s**l + 16*s - 8*s + 7*s wrt s.\nAnswer: -114*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6939191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -142, -318, -612, -1024, -1554?\nAnswer: -2202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 1\/4 of a day?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.063 - 4.063. Put 3, s, -83 in descending order.\nAnswer: 3, s, -83","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (3\/(-21) - -1)\/(20\/(-140)). Let q be (8\/44)\/((24\/(-44))\/n). Solve 0 = q*b - 5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 111100 - -1001?\nAnswer: 1000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -31*i - 15*i + 176*i + 35*i = 1155 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3*4)\/((-55)\/(17160\/(-273))*12\/14)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 326*v - 341*v - 15 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*w - 59971*n + 59972*n = -90, 3*w - 90 = -n for w.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -8384 = -2*r - l - 8310, -3*l - 158 = -4*r for r.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y = -35.005 - -0.005. Let w = 35 + y. Let h = -0.3 - -0.2. Which is the closest to h? (a) 5 (b) w (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*i + 74*o + 7 = 79*o, -3*i = 2*o for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 6975239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 0.724917803151 + -41?\nAnswer: -40.275082196849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 - 26 - ((0 - -2) + 3 + -12).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = -2*r**3 - 20*r**2 - 2*r + 8. What is the remainder when 81 is divided by h(-10)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 36 and 20652.\nAnswer: 61956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let -g**2\/3 + 19404*g - 4592507\/3 = 0. Calculate g.\nAnswer: 79, 58133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -6*a**3*f*m - 1109*a**3*m**2 - a**3 + a**2*f + a**2*m**2 - 231063*f*m**2 wrt a.\nAnswer: -36*f*m - 6654*m**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Divide 130 by -2.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 4147144 and 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -0.002 (b) -0.2 (c) -2 (d) -5 (e) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = 3*c - 7. Let s = -103 - -108. Give y(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3985487816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 5\/7 (b) -29 (c) -4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/7? (a) 2 (b) -11 (c) 23443\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -b1146b (base 13) to base 4\nAnswer: -33230310202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -12967731686 plus -9.26?\nAnswer: -12967731695.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) be the second derivative of -59*z**6\/30 - 19*z**4\/12 + z**3\/6 - 3*z - 1. Find the third derivative of k(o) wrt o.\nAnswer: -1416*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.0842 + 2.9608. Round g to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*g + 2*g + g + g - g + g + (-2*g + 1 - 1)*(-4 + 5 - 3) - 4*g + 0*g + 3*g + 0*g - 4*g + 2*g - 4793*g + 2318*g + 2072*g.\nAnswer: -402*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Determine r, given that 21*r**5 + 6642*r**4 - 74817*r**3 - 407730*r**2 - 522252*r - 117720 = 0.\nAnswer: -327, -2, -2\/7, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3 in -1.7, 0, -5, 1\/167?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = -3*t**2 - 3*t + 6. Let p be j(-2). Suppose 3*s + p*f - 5*f = 962, -3*f = 5*s - 1558. List the prime factors of s.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -q**3 - q**2 + 0 - 3 + 0 + 2*q**3 as l*q + t*q**2 + c*q**3 + y and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve y + 8 = 5*y + 4*p, 5*p = -4*y + 12 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor -256\/9*f**2 + 0 + 512\/9*f - 2\/9*f**4 + 40\/9*f**3.\nAnswer: -2*f*(f - 8)**2*(f - 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -3, 1893, -1 in decreasing order.\nAnswer: 1893, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -21*i**2 - 23*i + 3. Let p(z) = 16*z**2 + 22*z - 2. Let s(k) = -3*c(k) - 4*p(k). Give s(-14).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:09 AM and 8:12 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -846, -3402, -7610, -13428, -20814, -29726, -40122?\nAnswer: -51960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = -6614\/5 - -1322. Is 0 less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 9*z - 28 - 17 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 1.185, 1, -15.65, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s be (10 + -22)*(-165)\/(-12). Let f be ((-722)\/(-99) - (-30)\/s) + -6. Let -f*i + 0 - 2\/9*i**2 = 0. Calculate i.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) be the first derivative of 13*c**4\/2 - c**3 + 4*c**2 + 6*c - 194. Calculate the remainder when o(2) is divided by 47.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 39 a factor of 312000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = 171*z + 14. Is f(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 5 and 10107664.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:52 AM and 12:15 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is -9484 < -9484?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 188 a factor of 36284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) be the first derivative of z**3 + z**2\/2 + 3*z + 5601. Let o(i) = -i**2 - 1. Give h(v) + 2*o(v).\nAnswer: v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i*i**0)\/i)**(-7)\/((i*i*i**(-1)*i)\/((i**(1\/8)*i)\/i)) assuming i is positive.\nAnswer: i**(-15\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 59*r + 73*r + 67*r - 194*r.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1251414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 8 - 3776?\nAnswer: -3768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 8148 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -44*q**2 - q - 20 + 76 - 56 + 2*q. Let l(d) = -d. Calculate u(l(r)).\nAnswer: -44*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v = -3 - 5. Let z be (-1)\/2*0\/15. Solve v*j = -z*j - 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) be the third derivative of -g**6\/120 + g**5\/18 + g**4\/8 - 2*g**3\/9 + 2*g**2 + 161. Factor l(w).\nAnswer: -(w - 4)*(w + 1)*(3*w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -43848, -43848, -43846, -43842, -43836, -43828?\nAnswer: -43818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -c5 (base 13) in base 6?\nAnswer: -425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 152084?\nAnswer: 2, 193, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 34162577 is divided by 1440?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 21409598381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -540260 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 523 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q = 5, 5*m - 4*q = 83 - 17. Let i be (-2)\/m + (-285)\/(-35). Suppose -3*n - 3*u = 2*n - 16, 5*n - u = i. Is n even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m + 5*z = 25, m - 3*z = -23 + 6. Let i(v) = 7*v + 102. Let b be i(-14). Put b, -1, m in descending order.\nAnswer: b, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -32.9 + -3.1.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1305\/1890 + 5\/30)\/(16\/(-7)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 1143, 4594, 10347, 18402, 28759, 41418?\n\"Answer: 1151*c**2 - 2*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 5, n: 3, g: 1}. What is prob of sequence gn?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-56)\/(-10))\/((-144)\/40 - -4). Suppose -5046 = -g*r + 1996. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 56843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 15036700 rounded to the nearest one hundred thousand?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.06, -1, 0.4, 0.205?\nAnswer: 0.205","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -22794*o**2*y + 24725*o**2 + 3*y**4 wrt y?\nAnswer: -22794*o**2 + 12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 132 + -62 + -167 + -8\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -13 (base 6) to base 2.\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -5*f - d, 4*d - d = 3*f - 15. Is f greater than -10\/893?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -3 (base 7) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -912*u + 13895*u + 305268 + 616525 for u.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i + 5 = -0. Let w(a) = -11*a**2 - a + 1. Let s be w(i). Let b = 12 + s. Solve 15 = 3*k, -b + 4 = -3*h + 2*k for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = 2*d**2 + 317*d + 9788. Give f(-36).\nAnswer: 968","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 296579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 33 minutes after 7:42 PM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 3.687244 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) be the first derivative of -u**6\/3 + 4*u**5\/5 + 3*u**4\/2 - 8*u**3\/3 - 4*u**2 + 16. Suppose c(l) = 0. What is l?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-61 - (-2709)\/42)\/(112\/6)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: Put 7, -0.1, -0.3, -15 in ascending order.\nAnswer: -15, -0.3, -0.1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 289 is divided by 99?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*d - 0*d + 30. Suppose 0*n - d*n = -6. Suppose -3*s + 3*i + 2 = -7, -s + 5*i + 3 = 0. Solve -s = -2*p - n for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q + 0*q + 65 = -j, -5*q = -2*j - 78. Let t = -10 - j. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 16*t + 2 + 284*t**4 + 34*t + 2*t**3 - 2*t**2 - 48*t as y*t**2 + q*t**4 + j*t + d*t**3 + x and give q.\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ijuijkcjicujkg. What is prob of picking 2 u and 2 j?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 329?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g = 3.61 - 3.5. Let b = g + -0.1147. What is b rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 3, i: 2, k: 1, d: 1, l: 1, q: 4}. What is prob of picking 1 q and 1 l?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k = -81 + 82. Let r be (-1)\/(k + 8\/2). What is the third biggest value in 4\/11, 5, 0.2, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 306*a - 1997 = 1300 + 3741 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1473.\nAnswer: 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = z + 2 - 3 - 1. Let p(n) = n**2 - 19*n - 68. Let l be p(22). Give b(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = 3*o**2 + 18*o + 18. Let a(b) = 2*b**2 - 1. Let j(k) = 3*a(k) - t(k). Factor j(v).\nAnswer: 3*(v - 7)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1011538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 115125458 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u be 0\/2 + (12 - 10). Suppose -c + 2 = -u. Suppose -3*s = -11*s + 16. Solve 0 = s*g - 0 - c for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 119*a - 59*a = 67*a - 217 for a.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = -21*y + 4. Let l(u) = 2*u**2 + 5*u - 1. Give 3*l(n) + w(n).\nAnswer: 6*n**2 - 6*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -2 - 247?\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -14? (a) 1\/67 (b) 4 (c) 4\/7 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*k + 11 - 9. Let i be (k + -941249)\/(12\/(-320)). Round i to the nearest one million.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.6 (b) -3\/4 (c) 268 (d) 4\/3 (e) -0.73 (f) -1\/10 (g) -5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 77660 and 1035760.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = 3*b**2 + 1. Let m be l(-1). Suppose -425*q = -2*h - 424*q + 2049, 3*h - q = 3071. Suppose -11*n + h = -m*n. List the prime factors of n.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.1, -5\/3, -1, -2, -39\/35 in ascending order.\nAnswer: -2, -5\/3, -39\/35, -1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is five quarters of a second in milliseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (-1281)\/(-28) + (-6)\/(-8) and -145\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = n**3 - 32*n**2 + 62*n - 52. Give z(30).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -247 = 35*r - 37 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor 22*n**3\/5 + 197914*n**2\/5 + 89024416*n + 40464008\/5.\nAnswer: 2*(n + 4498)**2*(11*n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = -35*k**3 - 2*k**2 + 2*k - 1. Suppose -8*t + 890 = -566. Let b = t - 181. Determine s(b).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = q**2 - 2*q - 1. Let t(m) = -m**3 + 4*m**2 - 2*m. Let w be t(3). Determine c(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 734.952 millennia to centuries.\nAnswer: 7349.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) be the first derivative of -v**3\/3 + v**2\/2 - v - 4. Let r(w) = -3*w**2 + 9*w + 1. Let l(i) = -r(i) + 2*s(i). Calculate l(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 223173940.\nAnswer: 2, 5, 11, 223, 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((z\/(z\/(z\/(z**(1\/3)\/z)*z)))\/z)\/z**0)\/((z**3*z)\/z**(1\/12)) assuming z is positive.\nAnswer: z**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -4 divided by -105\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 240?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*z + 5*r + 14 = -12*z, 0 = 5*z - 5*r - 30 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u - 2*o - 4 - 2 = 0, 0 = o - 1. Suppose -64*z = z - 1040. Suppose -x = u*m, x - 4*m = -x + z. Sort x, -2, 18.\nAnswer: -2, x, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 5794, 9723, 13652, 17581, 21510, 25439?\nAnswer: 29368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 164, 312, 450, 572, 672, 744?\n\"Answer: -s**3 + s**2 + 152*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 11797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) be the first derivative of 7*t**4\/48 + 3*t**3\/8 + t**2\/4 + 3*t + 3. Let u(a) be the first derivative of s(a). Solve u(r) = 0.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = -2137*b**2 + 16*b - 16. Let z(a) = 2141*a**2 - 18*a + 18. Let c(n) = -9*v(n) - 8*z(n). Let x(u) = 4*u. Calculate c(x(m)).\nAnswer: 33680*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7586548 is divided by 497.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (-15560)\/(-45) + (-14)\/(-63)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -771 + 774. Solve -j + 5 = -4*j - 2*p, 6 = -4*j - t*p for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 138 and 16.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -14*l**5*r + 2159*l**3*r + 147*l**2*r + 4*l**2 - r + 1 wrt l.\nAnswer: -840*l**2*r + 12954*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -8093*n**2 - 5055 + 791 - 694 wrt n?\nAnswer: -16186*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2111064269 to the nearest integer?\nAnswer: 45946","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n = -265 + 260. Let t(j) = -16*j - 10. Let k(z) be the third derivative of z**4\/8 + z**3\/3 + 4*z**2. Let r(m) = 11*k(m) + 2*t(m). What is r(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -6*v**3 + 4*v**2 - v + 2. What is i(2)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m = 5.98 + -6. Let s = m + -0.48. Let n = 3677 - 3682. Put s, n, 1, 2\/17 in ascending order.\nAnswer: n, s, 2\/17, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 375 - 608b?\nAnswer: -5c16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7564 = -15*q - 5884. What is the remainder when q is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} {"text":"Question: Solve 3*j = 5*y + 16, 25*y - 21*y + j = -23 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 3 - 2*i - 2*i + i + 0*i + (-3*i + 4*i - 3*i)*(4 - 2 - 3) - 4*i - i + 3*i)*(-5 + 3 + 0).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -27, -45, -63, -81, -99?\n\"Answer: -18*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = q - 4*l - 15, -3*q = 2*l + 2 + 9 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-6 - -5)*0 - (0 - 2). Suppose 0 = w*v - 0*v + 2. What is the units digit of ((-58)\/(-8))\/(v\/(-8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2 (base 7) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: ((-786)\/(-1965))\/((-1)\/(10\/24))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put together 0.3 and 2.9917686.\nAnswer: 3.2917686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -33e - -4?\nAnswer: -33a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 0.01167479 + -174?\nAnswer: -173.98832521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1.58 + 0.78. Which is the nearest to -1? (a) -1 (b) 5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.049728 - 0.050272. Let h = 0.15 + -0.41. Which is the smallest value? (a) 0.5 (b) h (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 930 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z be 2\/(5*4\/30). Suppose -z*k = -7 + 22. Let w = k + 8. Let a(j) = 4*j - 3. What is a(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3\/6)\/(-5*26\/5200)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -550 divided by 5?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -66.5426 rounded to one dp?\nAnswer: -66.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 91 divide (219\/(-146))\/(2\/(-16512))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -284 or -285?\nAnswer: -285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2188860 and 88815?\nAnswer: 2865","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 41386693 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = q + 9. Let m(s) = 8. Let u(i) = -3*m(i) + 2*x(i). Let d be 3\/(-1)*(-8)\/6. What is the units digit of u(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2051235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -46*y + 12 = -40*y. Suppose -y = -157*b + 156*b, -768 = -5*w - 4*b. Calculate the remainder when 310 is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zpzppmpipppmp. Give prob of sequence zmp.\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 141124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-18 - -40) + -32 + 14 + 52.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = 32.24 + -0.24. Let h = -21 - -51. Let n = v - h. Which is the closest to 0? (a) 7 (b) -0.1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3990 is divided by 235.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u be 36\/(-8)*4\/3. Let w be (-42)\/45 - 2\/u. What is the second biggest value in -0.2, w, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -776003.471 - 7377?\nAnswer: -783380.471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 145771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w = -47.54 + 47.34. Let r = 196 - 2546\/13. Let q = -0.1 - -0.1. What is the nearest to q in w, -0.1, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (14\/245)\/(3*-8*(-3)\/(-882))?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h\/h**(-10)*h*h**(2\/33)*h**(-13)\/((((h*h**(-5\/3))\/h)\/h)\/h))**(-16) assuming h is positive.\nAnswer: h**(-480\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2062?\nAnswer: 2, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = -7*u. Let r(c) be the second derivative of -c**3\/6 - c - 18. Determine r(f(q)).\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -15551 - 10523?\nAnswer: -26404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 3428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = -c**3 - 6*c**2 - c + 4. Let t be m(-6). Suppose -3*n - 4 = -t. Suppose z + 9 = d, -d - z + 5 + n = 0. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 517.5678723 rounded to the nearest 10?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 113402230 (base 5) to base 4.\nAnswer: 2001000320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:53 AM and 12:14 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r - 5*r + 401010 = 20*r. What are the prime factors of r?\nAnswer: 13367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 50 (base 12) in base 13?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -2. Let y(t) be the first derivative of t**3\/3 + 9*t + 23. Determine -9*l(i) - 2*y(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -8 + b48745?\nAnswer: b48739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put 4519, 0, -2, -6 in increasing order.\nAnswer: -6, -2, 0, 4519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 240308346 and 1812?\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (21\/2)\/(((-1815)\/44)\/(-11))*-15.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 134 a factor of 35298950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in k**3 + 12*k**3 - 6*k**3.\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 48414293 divided by 2.\nAnswer: 48414293\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n = 101 + -111. Which is the third biggest value? (a) n (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*y**2\/3 + 14884*y\/3 - 149440.\nAnswer: 2*(y - 30)*(y + 7472)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 + (10 - 7) - -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2*(-54)\/(-48))\/(((-765)\/300)\/(-17)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = -201\/4 - -50. Let u = 1.5 - 2. Let w = u + 0.2. Sort w, -1\/6, a in increasing order.\nAnswer: w, a, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.13 + -29.13. Let x = h + -2. Let g = x + 30.99915. What is g rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0214 to 3 decimal places.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 2171 or 2169?\nAnswer: 2171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2*p**3 - 11*p**2 + 35*p - 4731?\nAnswer: -6*p**2 - 22*p + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 631 minutes after 2:47 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = -3615*u. Let x(m) = 778*m**2 + 766*m**2 - 1546*m**2. Determine x(h(s)).\nAnswer: -26136450*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -o**2 - 3*o + 3. Let l be (-63)\/28*8\/(-6). Suppose -h - l*k - k - 9 = 0, h + 4 = k. Determine z(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 55 divide 8195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3\/4 in 2, 7\/2, -3\/5, -4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 30\/13? (a) -0.5 (b) 45 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express -22 + 13*q**2 - 31 + 49 in the form t + k*q**2 + v*q and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*d + 7497*c - 7502*c - 136, 0 = d - c - 28 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -5, -6, -833 in ascending order.\nAnswer: -833, -6, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 496.11533 rounded to one dp?\nAnswer: 496.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 41000 divided by 10250?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -27, -63, -123, -207, -315, -447, -603?\n\"Answer: -12*u**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/167 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = z**4 + z - 1. Let i(b) be the third derivative of b**7\/42 + b**6\/120 + b**4\/4 - b**3 + b**2. Let v(d) = i(d) - 6*j(d). Determine k so that v(k) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = -8*r + 1. Let c(b) = -25*b + 4 - 5*b + 6*b. Let q(l) = -4*c(l) + 11*n(l). What is the derivative of q(o) wrt o?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*j + 4*j. Suppose j*y + 4 = y. Suppose 4*p = 2*o + 42, 3*p + 4*o + 6 = 21. What is the remainder when p is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 434224590 to the nearest 100000.\nAnswer: 434200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.5 in 2\/13, 3, -5, 5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*t + k + 9 = 3*t, 0 = 3*t - 5*k - 9. Let s be (0\/(-4))\/((-2)\/t). Solve 1 = -s*q - q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 16*j**4 - 22*j**4 + 10 - 15*j**4 wrt j.\nAnswer: -84*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -18*h + 20 = -22*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.9? (a) 1\/3 (b) 0.2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2 (b) 1 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 1 - (5\/10 + -1 - -1)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express 2*m**4 - 2*m + 2*m**3 - 55*m**2 + 29*m**2 - 31*m**2 in the form q*m + v*m**4 + c + w*m**2 + b*m**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -33*f**3 - 28377*f + 16136557 wrt f?\nAnswer: -99*f**2 - 28377","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -809+-0.19402\nAnswer: -809.19402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-36)\/54*(-9)\/6. Let w(j) = j**3 - j. Let b(k) = 3*k**3 - 3*k. Calculate h*b(c) - 4*w(c).\nAnswer: -c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -5*b**2 + 14*b - 10. Let r(p) = 2*p - 2. Let a(q) = -5*r(q) + y(q). Let i(h) = 4*h**2. Determine i(a(t)).\nAnswer: 100*t**4 - 160*t**3 + 64*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 8695440 and 288.\nAnswer: 17390880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 19989512 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = 4*y + 9. Let m be b(-5). Let o = m + 27. Solve 5*k + 2*t + o = 6*t, -5*k = -2*t + 8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve q = -9*s + 61 + 137, 88 = 950*s - 946*s - 2*q for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = d**2 + 1. Let b be a(-1). Let c be (b\/(-14))\/(4\/(-14)). Let q = -4.45 - -2.45. Put q, c, -3\/7 in descending order.\nAnswer: c, -3\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -3 + 6. Suppose i - 14 = -0*i. Suppose -5 - 282 = -555*q + 125 + 143. Sort q, z, i in decreasing order.\nAnswer: i, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 555980.2 rounded to the nearest 10000?\nAnswer: 560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Divide 45037555 by 5.\nAnswer: 9007511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z - 30 = -5*z. Let d(q) = q - 21. Let o be d(z). Sort -2, 0, o.\nAnswer: o, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3\/(-12)*22*-14 is divided by 25?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-1)\/(-2)*0\/(-8). Solve d = -0*k + 4*k - 4*u + 16, 2*k = 3*u - 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 6188*h*u**3 - h*u**2 + 2*u**3 - u**2 + 535*u - 1 wrt u.\nAnswer: 37128*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express -2*c + 1154 - 574 + 384*c**3 - 580 in the form y + t*c + k*c**3 + u*c**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 b when two letters picked without replacement from nbjxthbbbbjjt?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 + s)*(2*s**2 + s - s)*(19 - 34 + 33).\nAnswer: 36*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -41*t - 275 + 316. Calculate the remainder when t is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -1353*m**3 - 308*m**5 + 1353*m**3 + (-2*m**2 - m + m**2 + 0*m)*(-5*m**3 - 7*m**3 + 13*m**3).\nAnswer: -309*m**5 - m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z be 0\/18 + 3 + (-123)\/39. Which is the second biggest value? (a) 2\/3 (b) -431 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 42373 is divided by 1519.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.033276 - 7585.566724. What is t rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 91 + -91. What is the nearest to t in -0.4, -2, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (1 + (-1)\/1)\/(-1). Suppose j = 3*h - 2*h - 22. Is h + 3 + -3 + -3 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -50.189 - -50.289. Let h(t) = t**3 + 6*t**2 - 8. Let r be h(-6). What is the closest to -1 in z, r, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 23578173 and 217171.\nAnswer: 2749","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f = -52.178 - -52. Let q = -1.822 + f. What is the fourth biggest value in q, 1\/2, 1\/9, -1\/8?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*u**2 - u**2 + u**2 + 0*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b = 45 + -5. Suppose 5*x + b = -s + 10, -x = s + 6. Let l(q) = 2*q + 5. Calculate l(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 93 - 48. Let x be 16\/(-4) - (-198)\/p. Find a, given that 0 + x*a**5 - 6\/5*a**3 + 2*a**2 - 2\/5*a**4 - 4\/5*a = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 205 is divided by 96.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n be 2\/(-4) - 70\/(-4). Suppose 16*u + 10 = 21*u. Suppose -2*k + o = -10, -u*k + 23 = 3*k - 2*o. Solve 5*h = -2*j - 2 + n, -4*j - 5 = k*h for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-16*c - 6*c - 16*c)*(54 - 304 + 172) to the form j + h*c and give h.\nAnswer: 2964","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express (-m + 2*m - 2*m)*(-34 + 34 + 56*m) as k*m**2 + v + q*m and give k.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = d + 7. Let u be j(-4). Suppose 9 = -u*i + 45. Suppose -3*v - i = 0, 3*x - 3*v + 0*v = 159. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -191*v + 44775 - 49741 = 0 for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 3701.733 litres?\nAnswer: 3701733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2 + 4. Suppose 2*w - 3*h - 13 = 0, 2*w = -g*h - 0*h + 8. Suppose w*f + 2*o = 5, -1 = -3*f + 5*o + 2. Calculate the greatest common divisor of f and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-12*(-11)\/154)\/((-54)\/(-42)))\/(1\/150)\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 40 or 107455\/2783?\nAnswer: 107455\/2783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 a and 1 p when three letters picked without replacement from pkoaakppkappapkpkp.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a = 166 - 41. Calculate the remainder when a is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (8177\/(-595))\/(-13) - 4\/(-6 + 10).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 27608 is divided by 375?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c = 44 - 30. Suppose -19*i = -c*i - 70. What is the third derivative of i*z**2 + 0*z**3 + 2*z**3 + 4*z**3 + 0*z**3 wrt z?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -134, -641, -1492, -2693, -4250?\nAnswer: -6169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = 652 + -651.8. Is p at most 69\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -21 + 51. Is q a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = s**2 - 2*s - 3. Let c be 36*(-2)\/(-2) - (6 + -4). Let r(k) = 6*k**2 - 11*k - 17. Determine c*j(q) - 6*r(q).\nAnswer: -2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*k - 38 = 14*h, 1278*h - 7*k = 1273*h + 25 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 19379.091 + -0.2?\nAnswer: 19378.891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose r - 32252 = -h, 4*r - 5*h - 68409 - 60554 = 0. What is the thousands digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) be the second derivative of -3*o**3\/2 + 7*o**2\/2 + 6*o. Let b be p(3). Let v be (288\/b)\/(4\/(-40)). Calculate the highest common divisor of v and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from bbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -0.4 (b) -0.1 (c) -2 (d) -12 (e) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.57 + 0.77. What is the smallest value in a, -1, 2\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-9762 - 6475 - 1340 + 3560 - 6100)*(-2*c - 3 + 3) to y + h*c and give h.\nAnswer: 40234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -604380 divided by -6\nAnswer: 100730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = h**3 + 11*h**2 - 4*h + 6. Let v(n) = -n**2 - 7*n + 7. Let a be v(-9). Let f be g(a). Suppose 4*o + 0*o = -5*i + 45, 5*i = -5*o + f. Does 2 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -676 divided by 13\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 16690477 to the power of 1\/3, to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -11547478 rounded to the nearest 10000?\nAnswer: -11550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x = 3.1 - 3. Let a = 35 - 38. Let v be 2\/(2*21\/9). What is the closest to x in 3, v, a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -2002221 + 1011012?\nAnswer: -221202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 577392 and 623416.\nAnswer: 4184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = -j**2 + 8*j - 2. Let l be c(7). What is the second derivative of -5*h + l*h + 5*h - 34*h**5 wrt h?\nAnswer: -680*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -30*i**3 - 13*i**2 - 14*i - 28. Give y(-2).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -234222*h**2 + 0 + 0 - 9*h**3 + 234222*h**2 + 7*h.\nAnswer: -9*h**3 + 7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*c + 5*a - 519, 11 = 3*a + 2. Let f = c + -119. Solve -1 + 0 = l - i, i - f = -5*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 49830784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g = 254\/7 + -36. Let m(x) = x**3 + x**2 - x + 5. Let h be m(0). Let t = 2 - h. Which is the closest to g? (a) 3\/4 (b) 3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -4884, -4871, -4858, -4845, -4832?\nAnswer: -4819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 6? (a) -0.3 (b) 102795 (c) 0 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 399 minutes before 2:33 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(693)\/(sqrt(132)\/(sqrt(12)*-2)))\/((-2*sqrt(441) - sqrt(441)) + sqrt(36)*-5 + sqrt(9)).\nAnswer: sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j be 1 - (78\/(-3) - 3). Calculate the highest common factor of 90 and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 21177.\nAnswer: 3, 13, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -24019 divided by 21493\nAnswer: -24019\/21493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 811016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 295 minutes before 3:15 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = 7*i**2 + 4*i - 5. Suppose 0 = 3*d - 7*d + 24. Let x(q) = q**2 + q - 1. Let b be (4*(-7)\/84)\/(3\/9). Calculate b*o(y) + d*x(y).\nAnswer: -y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -0.1*-2118\nAnswer: 211.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put 12, -2, 2, 841 in ascending order.\nAnswer: -2, 2, 12, 841","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*t = -28*t + 10*t, t = l + 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k = 4 + -4.5. Let z = k + 0.1. What is the third smallest value in z, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 20.5 + -179.5. Let x = q - -158.794. What is x rounded to 2 dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 603*h**2 - 30*h**5 + 32*h**5 - 386*h**2 + 0 + 0 + 2*h**5 + (-3*h**2 + h**2 + 0*h**2)*(-5*h**2 - 3*h**3 + 5*h**2).\nAnswer: 10*h**5 + 217*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s = 268 - 286. Let a be 9*-1*24\/s. Is a < 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-204)\/(-170))\/(588\/43610).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -24*-15.09406\nAnswer: 362.25744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b be 0\/(2 + 0\/3). Suppose 0 = -2*s - b*s + 66. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ev when two letters picked without replacement from ccccccecvcvccvc.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 2 - 3)*(u - u - 2*u) + (0 - 2*u + 0)*(4 - 6 + 0) + 26 - 109*u - 24 - 5*u + (-1 + 2 - 3)*(3*u - 5*u + 3*u).\nAnswer: -110*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (-29*z + 503*z + 213*z)*(-4*z + 2*z + 7*z).\nAnswer: 3435*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = h**3 - h**2 + 4*h + 2. Let s(o) = -7*o**3 - o**2 - 3*o - 3. Let i = -114 - -113. Let j be s(i). What are the prime factors of t(j)?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -x**5\/2 - 52*x**4 + 38694*x**3 + 157*x**2 - 231947*x\/2 - 77385 = 0 for x.\nAnswer: -335, -1, 2, 231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 283 minutes after 9:16 AM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = m + 5 - 7. Which is the biggest value? (a) 0.3 (b) -1 (c) m (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r + 68 = 3*a, 0 = 2*a - 4*r - 34 + 2. Suppose -3*s + t - 3 = -2*t, -4*s - 11 = 3*t. Calculate the remainder when a is divided by s\/((-6)\/33*1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p = -5*g - 0*g - 1, -g = -5*p + 11. What is the second derivative of -20*j + 11*j + 4*j**p - 2*j**2 - 4*j**2 wrt j?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(-3*(sqrt(171) + (sqrt(171) + sqrt(171) + 0 - sqrt(171))*-5 - (sqrt(171) + (sqrt(171) - sqrt(171)*-1*6) + sqrt(171) + sqrt(171))))**2*5*4.\nAnswer: 18098640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Multiply 2686 and 22.\nAnswer: 59092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r = -34016 + 34025. What is the least common multiple of r and 2508?\nAnswer: 7524","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 100279 is divided by 535.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i = -7 - -9. Suppose i*d + d = -3. Let h(x) = 3*x**2 - x. Let w be h(d). Solve -2*k - w = 4*j + 6, 3*j + 11 = -5*k for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in 1, -2, -0.06?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -0.2 times -90\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -15105*n**2 + 67533*n wrt n.\nAnswer: -30210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j - 6*c + 3*c = -40, 5*c - 100 = -3*j. Let x = j + -23. Let w be (3 + -1)\/(6 + -4). Solve 3*o + o - s = w, -2*o - 12 = x*s for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -351*p. Let m(j) = -663*j. Give f(m(d)).\nAnswer: 232713*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**(-2\/7))**(4\/7)\/(y*(y\/((((y\/y**2)\/y)\/y)\/y))\/y*y*y**(-1)\/y*y))**(6\/17) assuming y is positive.\nAnswer: y**(-1518\/833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 42 and 3717?\nAnswer: 7434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 970.\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 542341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 1\/10 of a decade?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1613?\nAnswer: 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -41\/2660147?\nAnswer: -41\/2660147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.0023 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l = 214.53244 + -2.62644. Let g = 213 - l. Round g to 1 dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} {"text":"Question: Let b = 871\/5 - 174. Factor 0*i + 2\/5*i**3 + 3\/5*i**4 + 0 - b*i**2.\nAnswer: i**2*(i + 1)*(3*i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 1d6a + 53?\nAnswer: 1dbd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q = -17.3 + -57.7. Let y = q - -73.75. Let f = y - -1.242. Round f to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -40 (base 13) in base 7?\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 542208 is divided by 22589.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1727529?\nAnswer: 3, 179, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -90200.42 rounded to the nearest one thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 9251 - -5?\nAnswer: 9256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is (0 - (-33328)\/(-40))\/((-1)\/10) a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**(-2)\/v)\/(v**4*v))**40\/(v**8*v**(-6)\/v*v)**32 assuming v is positive.\nAnswer: v**(-384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 548679, 548671, 548659, 548643, 548623, 548599?\n\"Answer: -2*f**2 - 2*f + 548683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -50, -60, -82, -122, -186, -280, -410, -582?\nAnswer: -802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = -51673 + 671765\/13. Factor 2\/13*w**2 + v - 12\/13*w.\nAnswer: 2*(w - 4)*(w - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 4 + -59. Let p = 54.9999968 + h. Round p to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(3 + -1 + (sqrt(1100))**2 + 4 + sqrt(2156)*1 + sqrt(2156)).\nAnswer: 112*sqrt(11) + 4424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y = -14\/31 + 216\/341. Let x be 8\/5*10\/4. Suppose f = -0*c - c + 6, -f + x*c - 19 = 0. What is the third biggest value in y, f, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r and 1 i when two letters picked without replacement from {x: 1, b: 6, r: 5, i: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d = 334 - 335. Let r be 1 + (-36)\/(-4)*1. Let p be (r - -5)\/(0 - d) - 0. Solve 10 = -5*k - p for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = m**2 - 3*m - 6. Let f(h) = -h - 1. What is a(j) - 5*f(j)?\nAnswer: j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -0.06 - 981?\nAnswer: -981.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert -1c (base 13) to base 2.\nAnswer: -11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 8 divided by -7162?\nAnswer: -4\/3581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 18967320 to the nearest integer?\nAnswer: 4355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = -13*y. Let s(g) = 11*g**2. What is m(s(b))?\nAnswer: -143*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = 35*u**2 + 17*u - 221. Let s(v) = -12*v**2 - 5*v + 74. Determine -2*q(a) - 7*s(a).\nAnswer: 14*a**2 + a - 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put 0.3, -12, -2\/9, 3 in decreasing order.\nAnswer: 3, 0.3, -2\/9, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*x**2\/2 + 56484*x + 112965\/2 = 0 for x.\nAnswer: -37655, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z = 2.48 - -0.52. Which is the third smallest value? (a) z (b) -3\/4 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -35*n**4 - 11*n**4 + 3*n**3 - 8*n**4 + 50*n**4 - 57*n + 2 - n**3 as x*n + s + z*n**3 + c*n**2 + m*n**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 5*m**5 + 60*m**4 - m**3 - 7900*m**2 wrt m?\nAnswer: 300*m**2 + 1440*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 46 + -113 + (-81 - -86).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-15)\/10)\/((-20)\/(-80)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38 - 34 = -6*b. Calculate the greatest common factor of b and 228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 531999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor 2738\/7 + 312\/7*y**3 + 8\/7*y**4 + 3338\/7*y**2 + 5772\/7*y.\nAnswer: 2*(y + 1)**2*(2*y + 37)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*l + 13 + 20 = -4*h, 5*l + 55 = -3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-eight thirds of a century in months?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-2)\/4 + 74\/4. Suppose 2*d - 14 = r. Suppose -5 = -5*t + 10, -5*o - 4*t = -72. What is the least common multiple of d and o?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2 - -5. Suppose -5 = b*z - 4*z. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:45 AM and 7:41 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x and 1 w when two letters picked without replacement from xwwxwxwxwnnxx?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d\/d**(-2\/17))\/(d*d\/d**(1\/3)))**(-15\/7) assuming d is positive.\nAnswer: d**(20\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*p - 14 = 10 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (40\/(-25))\/(-4)*-5*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -11822 to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express 177 - 69 - 7*t**4 + 4*t**2 - t - 103 as r*t + y*t**3 + b*t**2 + f*t**4 + o and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 61624.\nAnswer: 2, 7703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-350 - 354 + 48*x + 708)*(1 + 13 + 7) to k + s*x and give s.\nAnswer: 1008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = -162*a**3 + 2*a**2 - 4*a - 2. Let k be l(-4). Let u = 62623\/6 - k. What is the common denominator of u and 101\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 1672, 3343, 5016, 6691?\n\"Answer: h**2 + 1668*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -218956 and -3?\nAnswer: 656868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 106*g - 102*g - k = -13, -4*k + 4 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Multiply 5635 and -29.\nAnswer: -163415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -267 + 2*x + 785*x**3 - 771*x**3 - 125 wrt x?\nAnswer: 42*x**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a**0)**(-45)\/((a**3\/a)\/(a\/(a\/(((a\/(a\/a**(-2)))\/a)\/a)))))**(-5\/4) assuming a is positive.\nAnswer: a**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0 - t + 0 + (2 + 15 + 9)*(0*t - 2 - t + 2*t) to the form p + o*t and give o.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z and 1 a when two letters picked without replacement from {o: 3, m: 5, f: 1, v: 1, z: 2, a: 1}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = d**2 - 8*d + 12. What is n(8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = -29*h**2. Let l(c) = 1475*c**2. What is l(d(p))?\nAnswer: 1240475*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -3, -223, 9, -5, -1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put together -0.4 and 1896425.\nAnswer: 1896424.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n be 2*-2 + (-107)\/(-2). Let z(k) = 51*k**3 - k**2 - k - 1. Let o be z(-1). Let j = n + o. Calculate the common denominator of j and 61\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:18 PM and 4:56 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 3919198596 to the power of 1\/4, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-43060)\/72 + 2*3\/6. Let a = 602 + h. What is the common denominator of (702\/(-28))\/3 + 2 and a?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((h**(3\/7)*h**9\/h)**22)**(-10\/13))**(4\/11) assuming h is positive.\nAnswer: h**(-4720\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = 2*s. What is h(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10101011011000 + -1011?\nAnswer: 10101011001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 90901179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -15 or -7829\/4?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.2856 + -0.3856. Let m = 121\/138 - 1\/23. Which is the closest to -1\/4? (a) q (b) 1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + 2 + -39 + -24 + 14 + 20.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = -7 - -4. Let j be 2*(0 + 1)*m. Let g be (-8)\/j + -4 + 4. Which is the smallest value? (a) g (b) -0.3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -150926171615801 + 0.1?\nAnswer: -150926171615800.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 110989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) be the second derivative of c**6\/30 - 25*c**4\/4 - 1457*c**3\/6 + 8*c - 18. Find the second derivative of g(d) wrt d.\nAnswer: 12*d**2 - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = 2*b - 86. Give d(32).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 4401b - -2?\nAnswer: 4401d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in -60, -112, -160, -210, -268, -340?\nAnswer: -432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 2316 - 1700 = -154*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*f**3\/7 - 2640*f**2\/7 + 10624*f\/7.\nAnswer: -4*f*(f - 4)*(f + 664)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 7, a: 2}. What is prob of picking 1 a and 1 i?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d\/(d**(1\/3)*d))**(1\/41)\/(d\/d**(1\/3))**(-30))**(25\/2) assuming d is positive.\nAnswer: d**(61475\/246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 8*z - 6*z - 4*t - 54, -z = t - 18. Suppose -44482 = z*h - 154963. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is (-5*52\/(-130))\/44*1?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0 + -0.2. Let i be (-1)\/(-2) - (-18)\/4. Let x be ((-9)\/30)\/((-6)\/i). What is the nearest to -0.1 in x, t, -0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 81 - 54. Let d = -2320 - -2373. What is the remainder when d is divided by l?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = a - 4*f + 8, 4*a - 2*f - f + 19 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -53 - 98 + 245 - 6*h**2 - 94 + h**2.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x be 6\/8*2*(-11 + 13). Suppose -x*a + u + 45 = -0*u, 4*a - 2*u = 60. Calculate the highest common divisor of 75 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -196*q**4\/3 - 1952123264*q**3\/3 - 1620232004730272*q**2 - 2777540101466624*q\/3 - 396791420301376\/3 = 0 for q.\nAnswer: -4979906, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -29*x = -2*x + 2*s + 275, -180 - 170 = 5*s for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3*6*((-12)\/9)\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(66)\/((sqrt(24) - (sqrt(24) - sqrt(24)*-1))\/sqrt(4)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f = 7.4 - 6.4. What is the fourth biggest value in -4, f, -3\/4, -1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(8)\/sqrt(4)*4 + sqrt(72) + 1 + ((sqrt(12) - sqrt(36)\/sqrt(3))\/sqrt(6) - sqrt(2)) + sqrt(242) + sqrt(242) + 0)**2.\nAnswer: 62*sqrt(2) + 1923","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -66, -275, -618, -1095, -1706, -2451, -3330?\n\"Answer: -67*c**2 - 8*c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 93921394.\nAnswer: 2, 7, 317, 21163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -502 + 100236?\nAnswer: 66434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z = 8691.2 - 8691. Let m be (2\/45)\/((-2)\/(-10)). What is the nearest to m in 2\/5, -0.2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) be the third derivative of -q**4\/24 + 4*q**3\/3 - 2*q**2. Let p be z(6). Which is bigger: 1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.1098 - -9.1098. Which is smaller: l or 0.33?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*b = 5*f - 11 - 15, 3*b - 21 = -3*f for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (13*v - 6 + 6)*(-6 + 2 - 1) - 1 + v + 1 - 2*v - 3*v + 4*v + (-v + 0*v - v)*(-3 + 4 - 3) + v + 2 - 2 + 0*v + 3*v - 4*v - 5*v + 4*v + 0*v.\nAnswer: -62*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-32 + 18 - -32) + 12.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -115*o**2 + 12257*o - 413967 wrt o.\nAnswer: -230*o + 12257","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -16*u. Let c(f) = -10053*f. Give c(o(b)).\nAnswer: 160848*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 51\/((-1530)\/12)*(-3)\/((-153)\/15)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -9\/50 and 88\/15.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 99186253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g = 3*g - 30. Let u(d) = -4*d - 72. Let o be u(-42). Let z = o + g. What is the highest common factor of z and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -14*(-156)\/(-98)*(-9961)\/5692.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 31 divide -476*4\/(64\/(-88))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = 2 - 116*f - 117*f + 346*f - 114*f. What is u(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 8 - 9. What is the nearest to 0 in -1\/3, v, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3.7 times -0.89?\nAnswer: -3.293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -2015003 + 3?\nAnswer: -2015000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p = -8*p + 6. Let w = -4 + 10. What is the least common multiple of p\/(60\/(-64) + 1) and w?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -42.2 - 10.8. Let b = k + -1. Let n = 53.9999955 + b. What is n rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 = -5*t - 2*m + 9, 40 = 4*t + 5*m. Let n = -2.082 + 0.122. Let s = n - 0.04. Which is the closest to -2\/7? (a) s (b) 3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 27?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 762 plus 0.01?\nAnswer: 762.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express 24*m + 38*m + 6*m + 4*m in the form c*m + b and give c.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 118 a factor of 201662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x = -3 - -70. Let l = -66.999999663 + x. Round l to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 10*p**2 - 3 + p**4 - 3*p**4 - 3*p**2 to the form r*p**3 + i + n*p + l*p**4 + j*p**2 and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g and 2 k when three letters picked without replacement from bbykbkgbbybyy?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-5)\/(-14)*4\/(-10)*(-5)\/(-10).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 35 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many tonnes are there in 1894.812 milligrams?\nAnswer: 0.000001894812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2117, -3988, -6063, -8336, -10801?\nAnswer: -13452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g + 10*g = 25. Suppose -g*p - 18 = -3*p. Let i(o) = -15*o - 2. Is i(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 13248 and 207?\nAnswer: 13248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p = -880 - -892. Solve 2*n - 13 + 5 = 2*o, p = -o + 3*n for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = n**3 - 7*n**2 + 5*n - 16. Suppose 312*x - 299*x - 74 = -9. Determine z(x).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 20 + (-1239)\/63 + (-254)\/726?\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + ((-5)\/2)\/(50\/(-60)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -5816 + 10739. Calculate the greatest common factor of 18 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -6 + 14 - (0 + (31 - (0 + 0)))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 8, 6, -11477 in descending order.\nAnswer: 8, 6, -11477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = -4*y**5 + 2*y**5 + 4*y**2 - 4*y**2 + 2*y - 2 - y**2. Let u(w) = w**2 - w + 1. Let s(z) = 2*p(z) + 4*u(z). What is the third derivative of s(j) wrt j?\nAnswer: -240*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 24521002.\nAnswer: 2, 11, 1114591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:46 PM and 11:48 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 420\/8*1014\/38025.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 + 5 = -z, 0 = f + 4*z + 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand 5 - 3 + 0 + q - 2 + 2 - 5*q + (-q + 0*q + 2*q)*(1 + 3 - 3).\nAnswer: -3*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 43\/20 and 49\/416?\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) be the third derivative of k**6\/120 - 3*k**5\/20 - k**4\/2 + 4*k**3\/3 - 154*k**2. What is n(10)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1010 - -111101000?\nAnswer: 111011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 45172069 to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: ((56\/7)\/(-328))\/(((-30)\/(-5))\/(-12))\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t + 11*v - 13*v + 3890 = 0, -3*t - 3*v = -2916. Let f = t - 398. Calculate the greatest common divisor of 23 and f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 29*k**2 - 4318*k - 535798 with respect to k.\nAnswer: 58*k - 4318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 151 + -146 - (-6 - -3 - -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 205215 + 205217 - q - 615646 + 205214.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 319*x - 687*x - 684*x + 1049*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 72*h + 40*h - 1160*h + 255*h - 621*h.\nAnswer: -1414*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1.41? (a) -4\/17 (b) 3\/5 (c) -2 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 370 and (7 + -10)\/(27\/(-90)).\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 61206161 < 61206159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/7, 2\/3, -4, -0.019.\nAnswer: -4, -2\/7, -0.019, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange p**3 + p**4 + p**2 + 3*p**3 - 3*p**4 - 3*p**3 to the form b*p + y*p**4 + v*p**2 + i + s*p**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = -1 + 2 + 562*a + 5*a**2 - 562*a. Give d(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pn when two letters picked without replacement from nlpclnnplt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -183 + 147 - (0 + (0 - 5) + (-8 - -22))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 510.4099t to milligrams.\nAnswer: 510409900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of -18*(0 + 12\/(-4)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8049686 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -1487*q - 3152. Determine y(-2).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -71\/818 and 133\/522.\nAnswer: 213498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 r and 1 l when three letters picked without replacement from rrlr?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y + 33 = 3. Suppose 72 = -2*c + y*c. Let i = c - 9. Solve 0 = -3*p + 2*j + j + i, 0 = 2*p + 2*j - 14 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = -11*f + 74. What is p(8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 2132069899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 55 and 180611167.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = -171*x**2 - 9*x + 25. Let j be d(-12). Let a = 53608 + j. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + (1*(sqrt(2448)*-1 + 0) - -3*(-6*-1*sqrt(2448) + sqrt(2448)))*2 + -3)**2.\nAnswer: -7680*sqrt(17) + 3916864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) be the first derivative of -67*w**2 - 225*w - 274. What is the first derivative of g(z) wrt z?\nAnswer: -134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/55, 2\/7, -0.23, 4, -3, -0.1 in decreasing order.\nAnswer: 4, 2\/7, 2\/55, -0.1, -0.23, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 22707 divided by 12\nAnswer: 7569\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17 = -n - 5*u, -2*n + 19 = -0*n + 5*u. Let z = 5 - 2. Find the third derivative of -r**2 - 5*r**5 - z*r**2 + r**n wrt r.\nAnswer: -300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8 divided by 125104.\nAnswer: -1\/15638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 18 + 0 + -4 + (45 - 45)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 167 minutes before 7:42 PM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-10)\/40 + (-18)\/(-8). Suppose v - q*v = -2*a - 10, 0 = -4*v - 3*a + 18. Suppose -2*n + v = -0*n, -5*l = 5*n - 25. Solve -12 = -2*x - l for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*o - 3*o + 4*o)*(-16115 + 16115 - 7101*o) to m + w*o + k*o**2 and give k.\nAnswer: -21303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.5 and -450.\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -16034 divided by 16034\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j = -18 + 18. Let k(z) be the second derivative of -z + 0*z**2 + 0*z**4 + 3\/10*z**5 + j + 0*z**3. Give k(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -474.999998751 - -475. What is q rounded to 7 decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -1707*v**3 - 488 + 253 + 201 wrt v.\nAnswer: -5121*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 709b (base 13) to base 9.\nAnswer: 23240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 118 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate (16\/(-280))\/((18\/(-567))\/((-4)\/(-6))).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -10045*o. Let c(x) = -21*x**2 + 3*x. What is c(z(u))?\nAnswer: -2118942525*u**2 - 30135*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y + 36 - 232 = 0. Suppose -2*n = -1 - 25. Calculate the remainder when y is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-5 - 2) + (8 - 6) + 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1190 - -1627. Is 3 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 68 + 7. Let b = g - 75.0000038. Round b to seven dps.\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = 3*n. Let y(c) = 2*c**2 + 19 - 19 - c**2. Determine y(o(r)).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = 13*w**2 - 3*w + 2. Let y(z) = -z. Let d be 2*(52\/78)\/((-4)\/(-9)). Determine d*y(x) - q(x).\nAnswer: -13*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:38 AM and 5:03 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) be the first derivative of h + 43 - 5\/12*h**3 - 3\/8*h**2 + 3\/16*h**4 + 1\/20*h**5. Factor d(j).\nAnswer: (j - 1)**2*(j + 1)*(j + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.1 - 0.1. Let l be 4\/(-5 + 29) - 0. What is the third biggest value in l, 0.2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 2, t: 8, p: 1, o: 3, i: 2, j: 1}. Give prob of sequence pf.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -104 + 37 - -178 - 66.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 4a1 - 1?\nAnswer: 4a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 e, 1 y, and 1 n when three letters picked without replacement from {y: 1, u: 1, t: 3, n: 1, e: 7}.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:29 AM and 12:47 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k = 53 + -42. Suppose -8*p + k*p = -417. Is p\/(-2) + (-7)\/(-14) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (91\/(-52))\/(1\/(-4)). Solve 3*t - 3 = 2*d + 2, t = 2*d + s for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is b in 5*b**5\/7 + 29227*b**4\/7 - 545390*b**3\/7 - 222832*b**2\/7 = 0?\nAnswer: -5864, -2\/5, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -4990 and 2?\nAnswer: -9980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 6, m: 12}. What is prob of sequence cccm?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 28361?\nAnswer: 79, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -p**3 + 9*p**2 - 8*p + 8. Let f be 18\/9*-1*4*4. Let x be f*((-4)\/(-16)*11 + -3). Determine u(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:52 PM and 3:43 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v = 4*z - 128, -5*z + 4*v + 128 = -z. Let i(u) = 5 + 3*u - 7*u + 3*u + 5*u**2 - 3. Calculate the least common multiple of i(-1) and z.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = -3*a + 16. Let u be d(12). What is the tens digit of (-5)\/u + 3\/(24\/5582)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*g + 265 - 27. Suppose 0 = 3*a + q - g, 0 = a - q - 16 - 17. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 6 and 988?\nAnswer: 2964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(sqrt(1377) + -3)*-6)**2.\nAnswer: -69984*sqrt(17) + 1796256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (z + 1 - 1)*(z**2 - 3*z**2 + 4*z**2) + (3*z - 11*z + 3*z)*(z - z + 3*z**2).\nAnswer: -13*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w be (813\/2)\/((-18)\/(-168)*-1). What is the remainder when w\/(-11) - 5*(-9)\/495 is divided by 71?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine l so that -2*l**2 + 74*l - 72 = 0.\nAnswer: 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/9, 2.254, -1\/5 in ascending order.\nAnswer: -2\/9, -1\/5, 2.254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b = -188617.943 - -188439. What is b rounded to zero dps?\nAnswer: -179","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = 5*p - 3. Suppose 16*i + 5 = 21*i. Let v(g) = g - 1. Let m(n) = i*r(n) - 2*v(n). Suppose -2*q + 6*q + 8 = 0. Give m(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 101101001001110 - 1000000?\nAnswer: 101101000001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 509689\/1342 at least 380?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -103, -207, -401, -703, -1131, -1703, -2437, -3351?\nAnswer: -4463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) be the second derivative of 99*v + 0*v**2 - 5\/12*v**4 - 1\/6*v**3 + 0 + 1\/20*v**5. What is m(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -43\/1838 and 11\/7.\nAnswer: 12866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*((sqrt(153))**2*3 + sqrt(17) + sqrt(17) + -1 + sqrt(17) + -2 + (2 + sqrt(1700) - (sqrt(102)\/sqrt(24))**2)).\nAnswer: -5445\/4 - 39*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 5 (base 8) in base 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-21 + 9*x + 21)*(4 - 2*x - 4).\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*((sqrt(700) + 1 + 4 - sqrt(700) - 1*sqrt(700)*2) + ((sqrt(700) - sqrt(700)*1) + 3)*3)*6)**2.\nAnswer: -80640*sqrt(7) + 431424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r = -18 + 30. Let v = 24 - 20. What is the lowest common multiple of r and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-524)\/(-3) - 3\/(-9). Let v = -38 - -42. Suppose l = v*d + d. What is the remainder when d is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate a**3*d*r + 13189*a**3*d - 4*a**2*d*r + 49*a**2*d + 8*d*r - 204*r with respect to r.\nAnswer: a**3*d - 4*a**2*d + 8*d - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -951817, -1903495, -2855149, -3806773, -4758361, -5709907, -6661405?\n\"Answer: v**3 + 6*v**2 - 951703*v - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 40, 33, 22, 7, -12, -35?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) be the third derivative of b**5\/180 - b**4\/18 + b**3\/6 - 3*b**2. Factor d(a).\nAnswer: (a - 3)*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) be the first derivative of -5*x**6\/6 + 10*x**2 + 7. Find the second derivative of l(v) wrt v.\nAnswer: -100*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x**2 + 235356*x + 7998636 = 0. What is x?\nAnswer: -78418, -34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 286578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -a**4 - 1061*a**3 - 3149*a**2?\nAnswer: -24*a - 6366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = 6*d - 1. Let v(a) be the third derivative of a**4\/24 - 7*a**2 - 3*a. Calculate s(o) + v(o).\nAnswer: 7*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Divide -4 by 8679204.\nAnswer: -1\/2169801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 14918970271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 4, -128\/59589, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1747*a**3*p**2 - 59*a**3*p - 5*a**2*p**2 + a*p**2 + 1608*a*p - 8 wrt a.\nAnswer: -10482*p**2 - 354*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 40*(-11)\/(-330) + (-583409)\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(5) - sqrt(60)\/sqrt(12)) + -4 + (-1*(sqrt(10)\/sqrt(2) + sqrt(5) + sqrt(5)))**2.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = 11*i**3 - 275*i**2 + 414*i + 17. Let d(t) = 4*t**3 - 91*t**2 + 138*t + 6. Let f(r) = 17*d(r) - 6*q(r). What is the second derivative of f(a) wrt a?\nAnswer: 12*a + 206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o + 51 = -0*o. Suppose -3*m = -3*n + m + 389, -n + 5*m + 148 = 0. Let s = n + o. Calculate the highest common factor of 8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 5 + -1. Suppose 4*g + 9 = 1. Let t be (30\/(-45))\/(g\/h). Which is the closest to 0? (a) 2 (b) t (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 51\/95 and 43\/171?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1382 - -2829. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = -i**2 - 53*i + 104. Is 3 a factor of l(-40)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + 0 + (30 - 31)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -10 - 13203?\nAnswer: -13213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: (9\/(-3)*45\/(-135))\/(4\/(-208)*1)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = 401387\/66340 - 3\/6634. Find the common denominator of -3\/580 and z.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -3\/62 - -83\/434. Let w = -9.1 - -9. Let y = w + 0.2. Which is the smallest value? (a) g (b) -2\/3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9946 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 301 and 1962821.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-1)\/(-5))\/(6\/4). What is the third biggest value in n, -0.01, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 229 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 774 and 18?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 156*w - 39*w - 37*w - 40*w - 45*w.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -214 + 180 + 19 + 8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-34)\/18700 + (-4)\/50 - (-1)\/(-10). Which is the nearest to m? (a) -0.2 (b) 1 (c) -2\/7 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -45781.8897 - -45780. Let o = 0.3893 - y. Let n = o - 2.3. What is n rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l + 5 = 2*q - 1, 4*q - 3 = l. Let u be 3\/3 + 0\/q. Differentiate 4*y - 4*y + u + 3*y**2 with respect to y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) be the second derivative of 5*i**7\/7 + i**3\/3 + 69*i**2\/2 - 4*i + 7. Find the second derivative of g(n) wrt n.\nAnswer: 600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1907503*m + 1907362*m = 1410 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h be 4\/(-2) - (-9 - -7). Suppose -99 = -4*u - h*r + r, -4*r = -4*u + 96. Let p(a) = 27*a - 1 + 4*a**3 - 6 - 7*a**2 - 3*a**3 - u*a. Give p(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -u**2 + 5*u + 4. Let q be l(6). Let k(y) = y - 3. Let w be k(11). Suppose r = -2*n - 4, 2*r = -5*n - w - 2. Which is greater: r or q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 58*a - 51*a = -14. Let f be 20\/6 + a + (-8)\/(-12). Solve 4*i + f = 2*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (3 + 0\/1)*1. Does 12 divide (22 - d)*3\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (8\/(-6))\/((-14)\/21). Suppose -3*d - c*k = -22, 4*k = 4*d + k - 1. Find the second derivative of 7*z**4 - 3*z**4 - 6*z - 2*z + d*z**4 wrt z.\nAnswer: 96*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 15\/(-6) + 3 + 78\/(-252). Let r(v) be the second derivative of 2\/147*v**7 + 0*v**2 - 6*v + p*v**4 + 2\/21*v**3 + 0 + 8\/105*v**6 + 6\/35*v**5. Factor r(y).\nAnswer: 4*y*(y + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -672.07 rounded to the nearest 10?\nAnswer: -670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = 146407489\/42 + -3486242. Let o = w + 1045\/3. What is the common denominator of 67\/3 and o?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -p**2 + 1. Suppose 12 = -2*g + 5*g. Let y(u) = -2*u**g - 2*u**2 + 18*u**3 + 2 - 20*u**3 + 2*u + 2. Let z(r) = -4*j(r) + y(r). Factor z(s).\nAnswer: -2*s*(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y = -7*y + 2*g + 10, 3*y = -2*g + 25. Let m be 10*((-318)\/(-60) - y). Solve -23 = -u - 5*q, u + 3*q - 7 = -m*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = v**3 - 7*v**2 - v + 3. Let a be d(7). Let q(f) = -f. What is q(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-77)\/11 - 123\/(-18). Let p be -2*25\/(-40) + 579\/4. Which is the biggest value? (a) d (b) -4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 22511582 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 1761069787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 1277855 divided by -3?\nAnswer: -1277855\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 10767520*c**2*f - 1295454*c**2 wrt f?\nAnswer: 10767520*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: Suppose 8 + 8 = -a - 2*z, -3*z - 36 = 3*a. Let d(q) = q**2 + 8*q + 10. What is the remainder when 36 is divided by d(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = 11*p**3 - 2*p**2 - 5*p + 2. Let l(z) = 56*z**3 - 11*z**2 - 26*z + 11. Let b(y) = 2*l(y) - 11*v(y). What is the second derivative of b(n) wrt n?\nAnswer: -54*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i = 12, -3*w + w - 4 = i. Suppose w = -0*h - 4*h + 8. Solve h = -3*r + 17 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 255\/25 + (-1)\/5. Suppose 4*b - l*b + 18 = 0. Suppose 0*p - 174 = -5*p - 3*g, 93 = 3*p - 2*g. Calculate the greatest common divisor of p and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x + 156 = y - 14, 3*x + 2*y = -182. Let f be 0 + (0 - -1) + -543. Let w = f + x. What is w rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*q = -384 + 96. Let a = 58 + q. Solve 0 = -4*x - 8, -5*x = 4*t - 9*t + a for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 332251?\nAnswer: 332251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 32437?\nAnswer: 163, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express 21 - 34 + 12 + 342*a**2 as j*a + y + p*a**2 and give p.\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) be the third derivative of 5\/3*y**3 + 0 + 3*y**2 + 1\/24*y**4 + 0*y. Differentiate d(o) wrt o.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -716 not equal to -22182\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z = 5\/1496 - -2927\/19448. Which is the fifth biggest value? (a) -4 (b) 7\/2 (c) 4 (d) 5 (e) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 77 divide 56000945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = 2*b. Let l(u) be the second derivative of 0 + 0*u**3 + 0*u**2 - 17\/12*u**4 + 10*u. What is l(j(z))?\nAnswer: -68*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m be (4\/3)\/((-2)\/(-3)). Let y be (-2)\/(1 + 603\/(-609)). Let d = 208 + y. Solve 0 = m*w + 3*w, 2*w = -d*p - 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 695*z**3 + 19*z + 2*z**2 - 694*z**3 - 16*z + 4*z**4 + 2 + 2*z**4 - 2 + (-3*z + z + 3*z)*(z - z + 2*z**3) + 6*z**3 - 2*z**4 - 6*z**3.\nAnswer: 6*z**4 + z**3 + 2*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 2424 and 10?\nAnswer: 12120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or 1\/8545658?\nAnswer: 1\/8545658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*y - 11 = 5. Suppose -5*x + j = -508, 66 = x - y*j - 32. Calculate the remainder when x is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -112 + 0*g**2 - 255 - 186 + 2*g**2 to the form i + w*g + a*g**2 and give i.\nAnswer: -553","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 4? (a) 2\/25 (b) 0.1 (c) -6 (d) 15\/4 (e) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5709?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*m**3 - 2*m**3 + 4*m**3)*(-4*m + m + 5*m) + 4*m**4 + 145*m**3 - 145*m**3 + 2*m**4 - m + m.\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -6244*v - 261744 = -3128*v for v.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 816565930.\nAnswer: 2, 5, 17, 877, 5477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p = -7.3 + 7. Let w = 3 - 2.8. Let f = -4.8 - w. What is the second biggest value in p, f, 2\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 21.3, -3, -1764, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -13501*a + 1377107. Calculate b(102).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1\/4, 0.01, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -64\/525 and -56\/275.\nAnswer: 5775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-30)\/(-5) + -2 + 0. Suppose -12*u + v + 92 = 0. Solve u*m = 3*m + 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 16629 is divided by 8259?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve n - i = 11, 0*i - 11*i - 7 = -n - 9*i + 6 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g be (16\/10)\/((-4)\/1910). Let w = g + 1231. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 32 (base 5) to base 3.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-3)\/2)\/((-39)\/442). Suppose -a = 2*r + 11. What is the least common multiple of 6 and (-228)\/r - (-24)\/(-84)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose c + 17 - 19 = 0. Let d(h) = h + 5. Let q be d(-7). Let z be (1\/c)\/(3\/q + 2). Sort 2, 9, z, -2 in descending order.\nAnswer: 9, 2, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = 209 - 209 - 53*z. Let l(u) = -2*u**2. Determine l(j(v)).\nAnswer: -5618*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange r**4 + 0*r**4 + r**4 + (2 - 2*r**2 - 2)*(6 + 3 + 3)*(-28*r**2 - 16*r**2 + 18*r**2) to the form o + y*r**2 + l*r + p*r**3 + q*r**4 and give q.\nAnswer: 626","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: Solve 1920*g - 1919*g - 93 = -5*k, -3*k = -5*g - 67 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.1 (b) 0 (c) -0.3 (d) 104 (e) 22 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = 9*v - 13. Let u(f) be the third derivative of f**4\/6 - f**3 - 187*f**2. Give 3*n(y) - 7*u(y).\nAnswer: -y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -5 + 159128?\nAnswer: 159123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m be 0 + (-5)\/(-1) - 2. Let d be 9\/1*4\/12. Suppose 0 = 4*j + d*p + 9, 0 = m*j - 4*p - 15 + 3. Which is greater: j or -2\/13?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-175)\/13 - (-73 - -60)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 4682.0187 nanoseconds in days?\nAnswer: 0.00000000005419003125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**2\/i)\/i*i*i*i\/i**(-4\/3)*i*i\/(i*i**(-2\/17))*i**8*(i**(1\/2))**(-1\/10)\/((i*(i**2\/i)\/i)\/((i*(i\/i**(-7))\/i*i)\/i)) assuming i is positive.\nAnswer: i**(20809\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**5\/d)\/(d\/(d*d\/d**(-5))*d*d)*(d**1)**(1\/33) assuming d is positive.\nAnswer: d**(265\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -43957498089 + 53*h + 43957498089.\nAnswer: 53*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 14 - (-8 + 10) - 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 34 and 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4*sqrt(136)*1 + -2*(sqrt(136) - 2*sqrt(136)))\/(sqrt(8) - 4*(sqrt(8) - 5*sqrt(8)) - 3*sqrt(392)))**2.\nAnswer: 153\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (16 - 0) + (5 - (13 + 2 + -9))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from pliwwwm. What is prob of picking 1 l and 1 i?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = d**3 - 85*d**2 - 578*d + 461. Give a(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -48 times -7?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(119)\/(sqrt(42)\/sqrt(6)) - ((-5 + sqrt(1377))**2 - sqrt(17) - sqrt(17)).\nAnswer: -1402 + 93*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round -159041 to the nearest 1000.\nAnswer: -159000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 3, 0.1, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -1*20\/25*6\/8\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-4797)\/(-1521))\/((-7)\/91)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -9? (a) -18\/7 (b) 0 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -249562 divided by 1.\nAnswer: -249562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w = 545\/1626 - 1\/542. Let m = 0.42 - -3.28. Let s = m + -4. What is the third biggest value in 4\/5, s, w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -136, -31, 252, 803, 1712, 3069, 4964?\nAnswer: 7487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 1, 122, 0, 30 in ascending order.\nAnswer: 0, 1, 3, 30, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -64993 (base 13) in base 2?\nAnswer: -101100011000100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -9*i + 5*i - 2*c + 136790, 4*c + 136820 = 4*i. Round i to the nearest 1000.\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 62*w**2 - w + 25*w**2 + 212*w**2 + 41*w**2 to f*w + x + l*w**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-m - 4*m + 3*m)*(0*m - 4*m + 3*m) + (768*m + 233*m - 102*m)*(-3*m - 5*m + 11*m).\nAnswer: 2699*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x = -7 - -9. What is the derivative of x - 2*z + 2*z + 2*z**2 - 5 wrt z?\nAnswer: 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -578*v**2 + 300*v**2 - 345*v**2.\nAnswer: -623*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round 0.065 to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = u**2 + 466*u - 6705. What is t(-480)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -1792, -1295, -36 in decreasing order.\nAnswer: -36, -1295, -1792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 81826301 to the power of 1\/4, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -79248 + -230\nAnswer: -79478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (30*f**3 - 5*f**3 + 16*f**3)*((3*f + f - 6*f)*(1 - 2*f - 1) - 13*f**2 + 12*f**2 - 14*f**2).\nAnswer: -451*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*s + c - 9 = 0, -3 = 6*s - 219*c - 1347 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 2593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r be 0 + (18\/(-72))\/(1\/10). What is the nearest to -7 in r, 0.2, 2\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -1635920 by 676.\nAnswer: -2420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 650699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round 564293 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {y: 4, l: 12, h: 3, f: 1}. Give prob of sequence hyhy.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j + 4*f + 36 = 0, -j + 2*f - 759 = -789. Suppose -14 = -c - 5. What is the highest common factor of j and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -79\/170 and -13\/4430.\nAnswer: 75310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence una when three letters picked without replacement from {u: 3, l: 2, y: 5, a: 3, n: 1, r: 1}?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2\/351 + 331\/3510. Let b be ((-6)\/25)\/(16\/10). Let g = b - k. What is the second smallest value in 0.1, 1\/16, g?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k + 1473 = -5*s, 26 = 4*s + 30. What is the hundreds digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 3 + -2.9. Let s be (24\/14)\/(-4)*35\/(-10). What is the second smallest value in -0.3, s, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -46*a**5 - 45*a**5 + 97*a**5 - 2*a + (2*a - 2*a + 3*a)*(2*a**4 + 0*a**3 + 0*a**3).\nAnswer: 12*a**5 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -6*g - g - g + 0*g to o*g + p and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1056053?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = h - 14. Let w be g(14). Let b = 123\/460 + -2\/115. Which is greater: w or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 10*l - 13 + 13 + (3*l + 2*l + 0*l)*(5 - 3 + 0) - 5*l + 196 - 196.\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f be -2 + (-11)\/(11\/(-6)). Let z(p) = p**2 - 3*p - 3. What is z(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 + (1 - 5) + 0 + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 575 and 40.\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -p. Let r(h) be the first derivative of h**2\/2 - h + 3. Let s be (-16)\/4 + (-1 - -4). Let o(v) = s*x(v) + r(v). What is o(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + 5*sqrt(16)\/(sqrt(800)*1 - sqrt(8)).\nAnswer: 5*sqrt(2)\/9 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -l**2 + 7*l + 2. Let d be z(8). Let b(u) = 4*u**2 + 14*u + 4. Does 5 divide b(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1 - -3. Let j(h) = 4*h**2 - h**2 - 3*h**2 + 2*h**o. Let q(i) = 3*i + 0*i - i. What is j(q(g))?\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.2 * 8118.\nAnswer: -1623.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q = -67867\/7 - -9695. What is the closest to -1 in q, -2, 0.197?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 = z + 4*a, 4*a = -5*z - 3 - 4. Let p(y) = y**2 - 496*y + 9. Let d(x) = 397*x - 7. Let s(w) = 5*d(w) + 4*p(w). Give s(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = o**3 + 8*o**2 + 4*o - 11. Calculate the remainder when 57 is divided by y(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g**5\/(g**4\/g))\/(g*g\/((g\/((g\/g**0)\/g)*g)\/g))**13)\/((g*g**(2\/9))\/g*g*g\/(g\/(g**(-7)*g)*g)*(g\/(g**(-1)*g))**(-27)) assuming g is positive.\nAnswer: g**(196\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 85\/228564 and -161\/119724.\nAnswer: 2514204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 270 times 15\nAnswer: 4050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 1141693 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Divide 2 by 191349.\nAnswer: 2\/191349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2149389.\nAnswer: 3, 11, 7237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(-15)\/(j\/j**(-1\/16))*j\/(j\/j**(-1\/18))*j*j*j**(-41))**10 assuming j is positive.\nAnswer: j**(-39685\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 2340430013 - -4?\nAnswer: 2340430022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = m**3 - 8*m**2 - 11*m + 13. Let n be w(9). Let t be (28\/210)\/(4\/(-6)). What is the nearest to 0 in -1, t, n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) be the third derivative of 25*k**2 + 1\/30*k**5 + 1\/24*k**4 + 0*k**3 + 1\/120*k**6 + 0 + 0*k. Factor d(t).\nAnswer: t*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3214620 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-330)\/(-88) - 14\/(504\/2295).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 104.138 + -0.138. Let v = 12349191702 + -12349191806.00000247. Let n = v + m. Round n to 7 dps.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 7542 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xxkxkkkxkxxkkkkkxxkx. What is prob of sequence kk?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000306159 to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor v**3\/8 - 725*v**2\/4 + 516251*v\/8 + 519155\/4.\nAnswer: (v - 815)*(v - 637)*(v + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yyfoobi. Give prob of sequence fo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(3*sqrt(2)*-6 + sqrt(2) + (sqrt(6)\/sqrt(3))**2 + -1 + ((sqrt(128) + 1)*3)**2).\nAnswer: 635*sqrt(2) + 5810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -21*p + 25*p - 3*w - 37, -49 = -15*w + 22*w for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i = -5 - 5. Let q be ((-4)\/i)\/((-6)\/60*-2). Let t = -6 + 4. Put t, q, -4 in increasing order.\nAnswer: -4, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -9 + 17\/2. Let d = -16 - -24. What is the third smallest value in -3, z, d, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 11505?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/((-99)\/12)*7\/(245\/(-15))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 35432296111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 1, r: 1, z: 3}. What is prob of picking 1 r and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y\/y**22*y)**(-12\/7)*y**31*y*y*(y**(-20)\/y)\/y*y assuming y is positive.\nAnswer: y**(324\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = -200*b**3 + 763*b**2 + 890*b - 25. Let p(c) = 12*c**3 + c**2 + 3. Let f(d) = o(d) + 6*p(d). Solve f(k) = 0.\nAnswer: -1, 1\/128, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -917929 and -0.4.\nAnswer: 367171.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-3)\/9*5*-12. Let h be 1\/10 - ((-8)\/l)\/1. Suppose -2*k + 2 + 2 = p, 2*k + 5*p - 4 = 0. Which is the nearest to k? (a) -1 (b) h (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/2? (a) 48 (b) 2\/3 (c) -2 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1275 is divided by 107?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -y + 1. Let q = -15 - -18. Give l(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (7*u**3 - 10*u**3 - 9*u**3)*(4 - 2 - 3) + (-4 + 4 + u)*(5*u - 5*u - 2*u**2) as v*u + c*u**2 + j + b*u**3 and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 2, -2, -23, -248, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -250003 (base 8) to base 4\nAnswer: -111000003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*((sqrt(684) - -1*sqrt(684)) + sqrt(684)))**2.\nAnswer: 153900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r, 1 l, and 1 f when three letters picked without replacement from ifllirjll.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 121861*c**2 - 64*c - 327 wrt c.\nAnswer: 243722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-110)\/((-4)\/108*3). Suppose -3*q - 8*q + v = 0. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4\/(-110)*45\/27*-3.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 82 is divided by 47?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b + 98 = -3*l, 0*l + 2*l + 102 = b. Let h = 11773\/107 - b. Let q = h - 3121\/642. What is the common denominator of q and 3\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 3732072 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = 3*z**2 - 31*z. Let h(t) be the second derivative of 5*t**4\/6 + 667*t + 1. Give s(h(m)).\nAnswer: 300*m**4 - 310*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 168776982*b**2*d - 4*b*d + 551*b + 3*d - 479 wrt b.\nAnswer: 337553964*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p be 3 + 0 + (0\/(-4))\/2. Suppose -p*z + 4 = -4*u + 2*z, -5*u = 4*z - 36. Solve 5*l - 2*a + 24 = 0, -3*l + u*a - 20 = -0*a for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 23*k - 3*k - 2*k as j*k + r and give j.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 142 + -513341?\nAnswer: -513166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*u = -34 + 4. What is the third derivative of -45*j**2 - 24*j**2 + 48*j**2 + 27*j**u wrt j?\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-l + 2*l + 0*l)*(1 - 4 + 0) + (-4 + 0 + 2)*(-2*l + 0 + 0) - 1 + 1 + l - l + 2*l + 0*l - 3*l - l + 2*l - 3*l + 0*l + l as w + z*l and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -o - 4*y + 8, 4*o - 2*y - 13 = y for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m + 68 = 2*f - 2*m, -3*m = 12. What is the highest common factor of f and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5549 is divided by 857.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = -60*w**3 + 7*w**2 + 6*w - 17. What is the units digit of o(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be -3 - -5 - (-2 - -3). What is the tens digit of 356\/(-16)*q*-4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*h + 33*h - 176 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 17 a factor of 11409516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = h**2 - 3*h. Let t = 11 - 0. What is the smallest common multiple of t and w(5)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*q**4 - 641*q**2 + 5 - 643*q**2 + 1287*q**2 to the form y*q**3 + m + g*q + b*q**2 + s*q**4 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 61 (base 7) in base 4?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 136967317 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -45*u + 13*u = 0. Let y(d) be the third derivative of 0*d + 0*d**5 - 1\/6*d**3 + 0*d**4 + 6*d**2 + u - 1\/24*d**6. What is the derivative of y(g) wrt g?\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = -3701*b + 37116. What is s(10)?\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -22 + (7 - -11) + -16 - -49?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 165617, 331245, 496877, 662513, 828153, 993797?\n\"Answer: 2*i**2 + 165622*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round 121111100 to the nearest 1000000.\nAnswer: 121000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*l + 42*l + 15*l)*(-11*l**2 - 8*l**2 + l**2).\nAnswer: -1134*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 0.2, 5, -0.5, 1, -46?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (18 + (-1595)\/88)\/(2\/(-4)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 245 is divided by 9 + -7*56\/(-98)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q**3 - 3466*q**2\/7 + 18916*q\/7 - 9680\/7 = 0. Calculate q.\nAnswer: 4\/7, 5, 242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 13357 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = o**2 + 9*o + 9. Let q be y(-9). Suppose 5*h - 6 = q, -i + 32 = 2*h. Does 13 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -4*g**2 + 8*g + 2. Calculate i(4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:35 PM and 12:10 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert -3013334 (base 9) to base 4.\nAnswer: -12013130101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -6089674.12 to the nearest one thousand.\nAnswer: -6090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n be 4 - (0 - (-2 - -1)). Suppose d = k + 2 - 3, 3*k - 19 = -5*d. Determine t so that 2*t - 70*t**2 + 12*t**k - 8*t**4 + 2*t**5 + 0*t**n + 62*t**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = -10*r**2 + 5*r - 3. Let j(u) = 21*u**2 - 9*u + 5. Let v(x) = 3*j(x) + 5*z(x). Suppose -65 - 43 = -108*t. Let n be v(t). Solve n - 26 = 5*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) be the first derivative of 8*r**3\/3 + r**2 + r - 669. Determine i(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = 1156*q + 184. What is the remainder when 759 is divided by z(0)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) be the third derivative of 1\/8*w**4 + 0*w**3 + 0*w + 0 + 1\/20*w**5 - 4*w**2. Let s(r) = 3*r**2 + 2*r. What is -2*o(y) + 3*s(y)?\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express (-c + 4 - 4)*(4 - 6 + 0)*(-58*c + 173*c + 233*c) in the form m*c + a + w*c**2 and give w.\nAnswer: 696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b = 883 - 890. Suppose -11 = 3*a - 2*a - 3*q, -2*a - 6 = 2*q. Sort b, a, -3.\nAnswer: b, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 33 = -3*q + 45. Solve -127*w**q - 69*w**2 + 130*w**4 - w**5 + 70*w**2 - 3*w**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*n = 2*c - 4*n + 10, -4*c = -n + 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = -19*l. Let w(b) = 43*b**2. Give s(w(z)).\nAnswer: -817*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 86834?\nAnswer: 2, 11, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 64546161?\nAnswer: 3, 17, 1265611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Determine r so that -15*r**5 - 756*r**4 - 13620*r**3 - 102738*r**2 - 277389*r - 95370 = 0.\nAnswer: -17, -11, -5, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -26*q - 194 = 66 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k = 133 - 131.88. What is k rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 4, i: 4, k: 2}. Give prob of sequence iki.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -117*l**2 + l + l**3 + 63*l**2 - 3 - 6*l + 45*l**2. What is d(9)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -3 + 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence oo when two letters picked without replacement from {y: 2, o: 6}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y be (105\/(-14) - -9) + (-7)\/(-2). Sort -1, 4, y, 3 in decreasing order.\nAnswer: y, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 5\/4 of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1489.33404ms in days?\nAnswer: 0.0000172376625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m, 1 u, and 1 a when three letters picked without replacement from aauaarrrmmr.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = -29*w. Let l(h) = 113*h. Let v(c) = -22*f(c) - 6*l(c). Let o(x) be the first derivative of -2*x**3\/3 - 4. Calculate o(v(a)).\nAnswer: -3200*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:04 PM and 4:22 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y = -3*y - 4, 0 = -q + 2*y + 79. Is q a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 703791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Product of -8 and -32.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 35 = 5*w - j + 6*j, 0 = 4*w - 4*j + 4. Let z be (-8)\/36 - 16\/9. Let a = 70 + -65. What is the closest to w in a, z, -0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -50644 - 52\nAnswer: -50696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = -48*d + 1005. Determine n(21).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 45 - -154764252?\nAnswer: 154764317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 202240 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = 196*a**2 - 19*a + 49. What is the tens digit of o(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 4103 - -2023?\nAnswer: 11131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q - 3*v = 21 - 9, 5*v + 20 = -3*q. Let l(w) = -w + 9. Let x(m) = m - 9. Let p(g) = -3*l(g) - 4*x(g). Let d be p(0). Solve -3*n + q*n = d for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = f - 16. Let u be i(16). Which is the closest to u? (a) -4 (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1111385495 - -22199?\nAnswer: -1111363296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(-1)\/u)\/(u*u**(1\/2)*u)*u**(1\/8)\/(u*u\/u**6) assuming u is positive.\nAnswer: u**(-3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 60602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 26 + 6 + (-18 - -11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p*p\/(p\/p**(1\/3)))**(1\/15)\/(p\/p**(1\/4))**(2\/39))\/((p\/(p*p**2))**(1\/9)\/(p**(1\/2))**(-48)) assuming p is positive.\nAnswer: p**(-27761\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from iizzzziz. What is prob of picking 1 i and 3 z?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-6)\/5*15\/(-6). Let a be -18*(15\/(-10) - -1). Solve -3*v - f = -a for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -31*p + 1. Let x(c) = -14390*c + 7711. Let n(w) = -4*u(w) - x(w). What is the first derivative of n(h) wrt h?\nAnswer: 14514","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 13077.05l?\nAnswer: 13077050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1\/9 or 0.47681?\nAnswer: 0.47681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-318000*y + 318000*y - 750*y**3)*(-1 + 2 - 5).\nAnswer: 3000*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = d**2 - 9*d - 6. Let b be r(10). Solve -4 = 4*m + u, m - b*u = -3*u - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 1\/16 of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.471697 and -3?\nAnswer: 1.415091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r be (1\/(-9)*-6)\/((-4)\/(-114)). Differentiate -5*u + 8 + 3*u + 2*u - r*u with respect to u.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -19, -20, -13, 8, 49, 116?\n\"Answer: u**3 - 2*u**2 - 2*u - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4420 divided by 884.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h*h**(-3))\/(h*h**(-2\/35)))**(46\/7) assuming h is positive.\nAnswer: h**(-4738\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 15 - (-27 + 9 + -6 + 40) - (-1 - 61)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:49 AM and 7:45 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j = 13 - 19. Let y(k) = 3*k + 8. Let g(n) = 2*n + 7. Determine j*g(z) + 5*y(z).\nAnswer: 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -0.11619 * 1.22\nAnswer: -0.1417518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 11088 and 1289316.\nAnswer: 170189712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 17535 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3 + 2*j - 13 - 3*j - 4 to the form s*j + x and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 30*n + 1261 = -74*n + 3861 for n.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 0.2 * -8090\nAnswer: -1618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -302.2*0.159\nAnswer: -48.0498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = t**3 - 15*t**2 + 5586*t - 33275. What is l(6)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 54881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 897 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 53a (base 16) in base 3?\nAnswer: 1211120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1\/14 + 4\/7. Let i = 0.05 - 0.15. Which is the closest to i? (a) y (b) 2\/15 (c) -4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 39385971?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1, -5, 1\/3, 3.7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1318 minus -0.0313?\nAnswer: -0.1005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -4928, -9854, -14780, -19706?\nAnswer: -24632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = o. Let w(m) = 521312*m. Calculate p(w(r)).\nAnswer: 521312*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 8806, 8632, 8342, 7936?\n\"Answer: -58*l**2 + 8864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 341 minutes after 4:34 AM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 58, -0.1, -0.2, 3\/35, -0.04, 3 in ascending order.\nAnswer: -0.2, -0.1, -0.04, 3\/35, 3, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.01 (b) 2 (c) 0.06 (d) 5 (e) 1\/466\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 125885.85 minutes in hours?\nAnswer: 2098.0975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w be 12\/112*4116\/504*(-2)\/(-14). Factor o + w*o**2 + 7\/8.\nAnswer: (o + 1)*(o + 7)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) be the second derivative of 1\/180*u**6 + 79*u + 0 - 3*u**3 + 3\/4*u**4 - 1\/10*u**5 + 27\/4*u**2. Factor m(d).\nAnswer: (d - 3)**4\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 90 - 66. What is the greatest common factor of f and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 144 + -40?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find m, given that -2*m**4\/15 - 4*m**3\/15 + 4*m\/15 + 2\/15 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 17399409 and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2 + 8. Suppose y + 2*s = 169, -f*y - 5*s = -3*y - 509. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = x - 1. Let t be w(-4). Let o(p) = p**2 - p - 1. Let q(y) = 7*y**2 + y - 4. Let h(a) = t*o(a) + q(a). Let u = -10 - -6. What is h(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3208? (a) -6.4 (b) 1 (c) 5 (d) 3 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 5 and 71915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 357013 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*((sqrt(130) + sqrt(130)*3)*3 + sqrt(130) + sqrt(130))\/sqrt(10).\nAnswer: 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = -d**3 + d**2 + 4*d - 4. Let x be j(2). Suppose x = -3*n + 15, 3*h - 355 = h - 3*n. Calculate the highest common factor of h and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 7770752?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) be the second derivative of -2*q**3\/3 - q. Let d be o(-1). What is the first derivative of -x**4 - 1 - 4 + d wrt x?\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -2\/647 (b) -72 (c) -3 (d) -1 (e) -0.1 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from brmmkeeekkrrrrrmkrb. Give prob of sequence embe.\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 273 divide 204659091?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q = 76 - 72. Suppose -l + 5*u = -176, -742 = -0*l - q*l + u. Does 31 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (1\/(-2))\/((-3)\/(-2))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -49c1a (base 16) in base 6?\nAnswer: -10250350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 30, -2, 1\/2, -0.759, -0.3, -0.007?\nAnswer: -0.759","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -42*u**2 + 41*u + 646. Determine x(-10).\nAnswer: -3964","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) be the second derivative of j**4\/2 - 61*j**3\/6 + 4*j**2 - 196*j. What is the tens digit of g(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine v, given that -15*v**3 - 1062006*v**2 + 46332240*v + 18702816 = 0.\nAnswer: -70844, -2\/5, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -5, -2\/7, -2\/15, -2\/9, -1594.05?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 378977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*j + 892 = -10*j + 4482. List the prime factors of j.\nAnswer: 2, 5, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = 70*d**2 - 2*d + 2. Give k(1).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2591*v + 2*v**3 - 6*v**3 + 44 - 2591*v - 44.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t = 12 - 11. Let d = 20 - t. Suppose 4*i - 37 = d. Does 14 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 2, 62, -3 in decreasing order.\nAnswer: 62, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -14978, 96, 5 in descending order.\nAnswer: 96, 5, -5, -14978","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 52995506 to the nearest integer?\nAnswer: 7280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 140400 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 37*d**3*h**3 - 2*d**3*h*m - 4*d**2*h**2*m - 9*h**3*m + m wrt d?\nAnswer: 222*h**3 - 12*h*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 5 + 526?\nAnswer: 52b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o = 5707661 - -43292351. Suppose -4*l + o = -5*u, 0 = u - 4*l - 1037666 + 10837678. What is u rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*p**3 + 3856 - 3856.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find w, given that 3*w**5 - 135*w**4 + 1578*w**3 - 1188*w**2 - 2904*w = 0.\nAnswer: -1, 0, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -2 - (-4 + 7 + -16 + 5)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -93137800 rounded to the nearest 1000000?\nAnswer: -93000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -81\/140 and -167\/840.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 89\/1392 and -43\/64.\nAnswer: 5568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.026 + 29.026. Let v = 28.3 - r. Put -1, v, 3 in increasing order.\nAnswer: -1, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*i + 0*i + 285 - 248 + 46*i**2.\nAnswer: 46*i**2 - 2*i + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 275 less than 1108?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = -18*i + 11. Let a be o(-4). Which is greater: a or 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -5934\/77 + 528\/7. Suppose -t + 4*y + 18 = 0, -2*t = -0*t + 4*y + 24. Which is smaller: b or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = -s - 1. Let q(m) = m + 6. Let j(h) = -3*k(h) - q(h). Suppose -6 = -3*r - 0. Suppose -1 = -r*t + 3. Calculate j(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*t**4 + 36*t**3 - 177*t**2 + 234*t - 96 = 0 for t.\nAnswer: -16, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = l**3 - 245*l - 31. Calculate the remainder when h(-14) is divided by 181.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 20110 is divided by 2500.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1822176 and 1110.\nAnswer: 9110880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9\/(90\/20)*(-6)\/4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 497 divide 24821472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 626560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = -2*f**2 - 3*f. Let x(k) = -k**2 - k. Let s(o) = -3*x(o) + y(o). Let i(r) = 18*r**2. What is i(s(v))?\nAnswer: 18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00026272 to 5 decimal places.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 - 2 = -k. Suppose -d + 55992 = -4*w, -280010 = -8*d + 3*d - k*w. Round d to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2\/(-15))\/((-5)\/(75\/(-3))).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 404483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i - 4*q + 186 = -84, q = -3*i + 155. Let r be (-30)\/(-9)*(-126)\/(-15). Let b = i - r. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 9.234065ml?\nAnswer: 0.009234065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 1 (b) -1 (c) -5 (d) 0.123\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c = 16 + -16. Solve c = 3*x + 3 + 9 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = -2*k**3 + 6*k**2 - 2*k + 1. Let m(s) = -39*s**3 - 5*s**2 - 3*s - 5. Let n(a) = -6*a**3 - 2*a**2 - 1. Let v(i) = m(i) - 6*n(i). Give 4*f(t) - 3*v(t).\nAnswer: t**3 + 3*t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h = -359 + 416. Suppose -h*u + 64*u = 8351. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3221.8 rounded to the nearest 10?\nAnswer: -3220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort 1229, -3, 1, 3, -2, -44.\nAnswer: -44, -3, -2, 1, 3, 1229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -332780957*d**4*s - 9716*d*s + 121*d - 2*s - 2 wrt d.\nAnswer: -3993371484*d**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) be the third derivative of 0*i + 0 + 1\/12*i**4 + 0*i**3 - 2*i**2. Let t(f) = -f. Let x(c) = -3*c. Let s(y) = -2*t(y) + x(y). Give s(q(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 714 minutes after 10:00 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1648000686.\nAnswer: 2, 3, 4133, 66457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 522 and 14?\nAnswer: 3654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-z + 2*z**4 + z)*(-7065*z + 1707*z - 2622*z + 5 - 910*z + 0).\nAnswer: -17780*z**5 + 10*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k + 14528 = -a, -1626*k + 3*a - 72624 = -1631*k. Does 18 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 4455, 18269, 42285, 77313, 124163?\nAnswer: 183645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r + 0*q - q = 4, -2*r + q = 11. Let j be (r - 21)*(-13750)\/(-3). Round j to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.51 - -0.5. Let y = 0.01 + h. Which is the smallest value? (a) y (b) -3 (c) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = -139*o**2 + 163*o + 3. Calculate the smallest common multiple of h(1) and 4467.\nAnswer: 40203","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 12448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) be the second derivative of i**4\/6 - 5*i**3\/6 - 2*i**2 - 3*i. What are the prime factors of y(-3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 472 divide 718920821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4699945452.\nAnswer: 2, 3, 7121, 55001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10056960524139*m**3 - m**2 + 10056960524138*m**3 + m**2.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 595 or 596?\nAnswer: 595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of j**3*u - 3329539*j**3 + 3*j**2*u - 11514*j**2 - 3*u wrt j?\nAnswer: 6*u - 19977234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Divide -1175 by 9685.\nAnswer: -235\/1937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -4*n - 6. Determine j(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = 412*j**2 + j. Is y(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -7453*l + 14904*l + 4207 - 7453*l to n*l + k and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = -9*s**3 + 7*s + 4. Let k(a) = a**3 + a - 1. Let n(i) = 4*k(i) + x(i). Find the second derivative of n(d) wrt d.\nAnswer: -30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -21*h + 5. Let p(c) be the third derivative of 0 - 25\/3*c**4 + 8*c**3 - 3*c**2 - 24*c. Determine 48*i(a) - 5*p(a).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -135 + 1828*u**3 - 362 - 1827*u**3 - 7*u to the form h*u**2 + d*u**3 + j + v*u and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*v - 15 = 153. Let q = -6 + v. Let r(f) = -f**3 + 15*f**2 - f + 26. What are the prime factors of r(q)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -2.3 and -248.8.\nAnswer: -251.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round 0.319417004 to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 37\/1860732 and -21\/45944.\nAnswer: 3721464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 48\/2521 or 1?\nAnswer: 48\/2521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 10348 != 10347?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 1352941 divided by -7?\nAnswer: -1352941\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = 1900*v - 81580. Calculate q(43).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -40 + (-34 - -3 - -47).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 842 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -151*-3\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = -z**2 + 6. Let r(p) be the second derivative of -p**4\/12 + 5*p**2\/2 - p + 855. Let k be (1 + -2)\/(2\/12). Determine k*h(s) + 7*r(s).\nAnswer: -s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) be the third derivative of u**6\/120 - 3*u**5\/20 - 7*u**4\/24 + 4*u**3\/3 + u**2. Let s be d(10). What is s rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -107215*o**2 - 108493 wrt o.\nAnswer: -214430*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1976 + -1981. Which is the nearest to 0? (a) o (b) 0.26 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c + 6 = 0, 12 - 2 = 4*w + 3*c. Suppose 0*g - w*g = 32. What are the prime factors of 2\/g - (-136)\/32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 153924192\/7 greater than or equal to 21989170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1857*g**3 - 1853*g**3 + 3722*g**3.\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = 657987*z + 65. Let h = 135 + -130. Let w be m(h). What is w rounded to the nearest 100000?\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 237812213 to the nearest ten thousand.\nAnswer: 237810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z = -7 - 0. Suppose n + 2 = z. Let u = n - 2. Solve -3*j = 12 - u for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 4 - ((-2 - -4) + -1). Let w(p) = -p + 5. Let j be w(0). Let v = j + -2. Solve -v*r + 4 = -4*o - i, -3*o = 4*r - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1320733 or 1320699?\nAnswer: 1320699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -3893, -3891, -3889?\n\"Answer: 2*m - 3895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2 - (-1 - -2)) + (-24 - -25).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -54*(-121)\/(-21780)*4\/3.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:19 AM and 6:14 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 1102298 divided by -21?\nAnswer: -1102298\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u - 96 + 101 = 0. Suppose -747 = u*b - 192. Let n = 172 + b. List the prime factors of n.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*l - 11*l. Suppose l = -3*u - u + 140. Calculate the highest common factor of 5 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 15 and 981?\nAnswer: 4905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is d in -d**4\/5 - 7*d**3\/5 + 19*d**2\/5 + 7*d\/5 - 18\/5 = 0?\nAnswer: -9, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 14177199 and 744.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -8*w**3 + w**2 - 5*w + 7. Give k(2).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 203344 + -0.26753\nAnswer: 203343.73247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*m**2 - 3585*m - 18000.\nAnswer: 3*(m - 1200)*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) be the second derivative of -76*y**6\/15 + 39*y**2 + 95*y. Find the first derivative of p(t) wrt t.\nAnswer: -608*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 13*(24\/21 - 1) + -2. Put a, -5, 0, -0.3 in increasing order.\nAnswer: -5, -0.3, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 612 minutes after 7:08 AM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 51 and 4709.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 44585*z - 4257 - 44615*z + 4257.\nAnswer: -30*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-6)\/15)\/((-1)\/5). Suppose 0 = -4*z - l + 3 + 1, -2*z + 5*l + 24 = 0. Solve -8 = -3*d - 0*d + s*t, -4 = -d + z*t for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*sqrt(45) + sqrt(45) + (sqrt(405) + 3)**2 + -5 + (sqrt(625)*-2)\/sqrt(5).\nAnswer: 35*sqrt(5) + 409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.011 + 10.289. Let g = 10 - l. Let x = -3 - -8\/3. Which is the biggest value? (a) x (b) -5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 34.263 and 0.087.\nAnswer: 2.980881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -19*n - 104 = -45*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) be the third derivative of 3*i**2 + 0*i + 0 + 1\/6*i**4 + 0*i**3. Let x(r) = -r. Give -3*b(n) - 10*x(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.8308 and 1?\nAnswer: 0.8308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j be (3 - 5) + 20\/9. What is the second biggest value in -2\/9, j, 5\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 213215734 divided by 314\nAnswer: 679031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 2, j: 4, g: 1, s: 2, f: 6}. Give prob of sequence ssx.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*q + 193 - 1177. Suppose q = 36*i - 32*i. Calculate the remainder when i is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-2)\/(-3))\/(8\/84). Let s(w) = 2*w - 2. What are the prime factors of s(y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = -d**2 + 6*d. Let o be z(5). Suppose 25 = 3*t - 4*m - 41, -87 = -o*t - m. What is the units digit of (-2)\/(-9) - (-32)\/t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 6, a: 1, b: 2, f: 1, n: 2}. Give prob of picking 1 a, 1 k, and 1 f.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = -6*c. Let j(r) = 205*r**2. Give n(j(z)).\nAnswer: -1230*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b = 324.3 - 316.942. Let u = 0.042 + b. What is u rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from wkwkkdkkkwkkkddkkkk.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 384 and 166?\nAnswer: 31872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 722.4067 nanometers to centimeters.\nAnswer: 0.00007224067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 90090577?\nAnswer: 90090577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1700)*3 + sqrt(1700))*-1 + -2.\nAnswer: -40*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 74305532*b*f**2 + 79488254*f**2 wrt b?\nAnswer: 74305532*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2156) - (sqrt(2156) + (sqrt(2156) - (sqrt(2156)*1 - sqrt(2156))) + sqrt(2156)))\/(sqrt(144)*-1).\nAnswer: 7*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/22121 at least -4\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -132 divided by -51\nAnswer: 44\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 61.23937cm?\nAnswer: 612393700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 67085429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) be the third derivative of -d**6\/20 + 53*d**5\/20 - 19*d**4\/2 + 25*d**3\/2 + 11*d**2 + 3*d. Solve t(i) = 0 for i.\nAnswer: 1\/2, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 7, -9 in descending order.\nAnswer: 7, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m = -353014.0153809 - -353014. What is m rounded to 3 decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 246 is divided by 242.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 16010000 rounded to the nearest 100000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 92 and 989.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3714729, -3714774, -3714819, -3714864?\nAnswer: -3714909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 373*s + 11040 = -179*s for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -m**3 + 5*m**2 + 2*m - 9. Let p(k) = -2*k**3 + 11*k**2 + 5*k - 19. Let r(x) = -13*o(x) + 6*p(x). What is r(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7926343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2)\/14 - 56\/(-1764).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 16 + 4360\/5940*-22\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 303322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 11, 10, 3, -10, -29, -54, -85?\n\"Answer: -3*t**2 + 8*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-2)\/6 - (-242)\/6. What is the remainder when o\/(-4)*(-3 + 0) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (-2*(2*sqrt(792) - sqrt(792)))\/(sqrt(99)*-4*-6).\nAnswer: -sqrt(2)\/6 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x = 27 + -23. Suppose -5*l - 3*c = -4256, -2*l + x*c + 1250 = -468. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 264 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -21717626 divided by 707?\nAnswer: -30718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r = -6*r + 12. Suppose 51 = 3*c + 3*w, 3*c - r*w = -c + 92. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -4849 by -2.\nAnswer: 4849\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 2864 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000001134378889 rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1964?\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = 5*y + 2. Let t(g) = 9*g + 3. Suppose -4*z = 3*h + 9, -h + 2*z - 3 = 4*z. Let w(m) = h*t(m) + 5*x(m). Determine w(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.339 and 50084.\nAnswer: -16978.476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 26732153.\nAnswer: 7, 3818879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is (2\/1)\/((-4)\/6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 3753906 bigger than 3753905?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 31185313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2011987?\nAnswer: 2011987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = 17*z + 53. Let h be q(-2). Let j = 16 - h. Suppose -1 = -n, -2*n - 2 + 4 = 4*p. Put 2, j, p in decreasing order.\nAnswer: 2, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 460 and 207.\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(12)\/(3*sqrt(150)))**2.\nAnswer: 2\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 7163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -l**3 - 6*l**2 - 6*l + 1. Let x be r(-5). Suppose 0 = -u + x*u + 85. Let h = u + 35. What is the greatest common divisor of 27 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 840688524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.02 (b) 4 (c) 1\/5 (d) -120\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*c**2 + 0*c**2 - c**2 + 2*c + c**2 - 2*c + (-c - c + c)*(-c + 0*c + 3*c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -965 or -438?\nAnswer: -965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l = 67 - 671\/10. Suppose 4*r - 636 = 4*f, -3*f + 114 - 747 = -4*r. Let n be (r\/(-91) - -3) + -2 + 1. What is the biggest value in n, -3, -2, l?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (0 - -1) + -2 - -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = 7126616.2 - 7126599.2000036. Let f = 27.6 + -10.6. Let k = f - t. What is k rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 3, -31, -107, -237, -433, -707?\nAnswer: -1071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) be the second derivative of x**5\/10 - x**4\/12 - x**3\/3 + 3*x**2\/2 + 3*x. Calculate the lowest common multiple of f(2) and 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 491 a factor of 1215829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -65*b = -19*b + 67*b - 1582. Solve -93*m - b = -3*y - 92*m, -5*m = 25 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lljlwzybjlljlzz. Give prob of picking 1 w and 1 b.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -3 (b) 7 (c) -6 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a = -13414 - -13404. Which is smaller: -355\/39 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -3*f**2. Let z(h) = 4*h**2 + 4*h. What is d(z(v))?\nAnswer: -48*v**4 - 96*v**3 - 48*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 114990230 to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*g - 9 = 3*j - 3*g, 3*g - 6 = 0. What is the nearest to -1 in j, 1\/4, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 76 + -41. Let z = -46 + m. Which is smaller: -19\/2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -87.727408 - -87.67. Round d to 3 decimal places.\nAnswer: -0.057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -52452170 greater than or equal to -52452171?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14*m**2 + 1027*m**3 - m**2 - 13*m**2.\nAnswer: 1027*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -9, -36871, -5.\nAnswer: -36871, -9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 2, q: 1, c: 1, g: 14, w: 1}. Give prob of sequence ddgg.\nAnswer: 91\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*j + j + 26 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-13)\/2 + 0)*8. Let h = f + 57. What is the third derivative of -494*b + 14*b**2 + 11*b**h + 494*b wrt b?\nAnswer: 660*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:48 AM and 7:24 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 14 and 1701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 145493833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = -o**3 - 3*o**2 - 3*o - 5. Let p be m(-2). Let q be (-2 - (-4 - -2)) + (-1 - p). Solve 3*v - 20 = -5*h - q*v, -2*h + 5*v = -15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 0 + -964?\nAnswer: -964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 470058806*p**4 + 657985659*p**2 wrt p.\nAnswer: 11281411344*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = -s - 3*s - 4*w, -2*w = -3*s + 1. Let p = s + -3. Let i = -2 - p. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 97*t + 7371 - 9020 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -247929 or -247965?\nAnswer: -247965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Divide -6508341 by -3.\nAnswer: 2169447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -275*b - 89*b**3 - 595*b + b**2 + 1134*b wrt b.\nAnswer: -534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -44 - -508. Suppose -706 = -26*n + r. What is the remainder when 132 is divided by n?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-87)\/(-2) - (2\/7)\/((-40)\/(-70)). Solve -5*h + a = -5*p + 73, 0 = h + 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 29740 is divided by 2684?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i = -17238 + 27245. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-4 - -3)\/((-314)\/63 - -5). List the prime factors of (-3 + (-22 - 3))*1080\/q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence juq when three letters picked without replacement from uuqluuhhhjhuuuhquh?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) be the second derivative of s**6\/360 + s**5\/120 + s**4\/12 + 7*s**3\/2 + 11*s. Let v(a) be the second derivative of i(a). Calculate v(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 788*s - 1682 - 1470. Let h = -19 - -13. Sort s, -1, h, 1 in decreasing order.\nAnswer: s, 1, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o\/o**(2\/21)*o\/(o**(2\/7)*o*o*o*o))\/((o*(o*(o*o**0*o)\/o*o)\/o)\/o)**35 assuming o is positive.\nAnswer: o**(-1520\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1188 and 42.\nAnswer: 8316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 243.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -78270 = 8*w - 10*w. Is (3\/9)\/(5\/w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 4734 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v be 19\/((-570)\/(-72)) + (-2)\/5. Let u = 0.1 - 3.1. What is the closest to 0.1 in v, 2\/7, u?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 234\/(-13)*(-33)\/33\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1.77 - -219.23. Let n = x - 97. Let s = n + -123.7. Which is the nearest to 0.1? (a) s (b) 0.4 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - w**2 + 2)*(16*w**2 - 9*w**2 + 57081 - 80*w - 57085).\nAnswer: -7*w**4 + 80*w**3 + 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert -1 (base 9) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*k = -4*s - 7*k + 18, 5*k = 15. Calculate the least common multiple of 1217 and s.\nAnswer: 7302","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 491 minutes before 6:33 PM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) be the third derivative of g**4\/8 + g**2. Let x(z) = z**2 - z + 1. Let s(f) = 12*f**2 - 10*f + 10. Let b(h) = s(h) - 10*x(h). What is b(i(m))?\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v - 2*v = -42. Let y(m) = m**2 + m - 1. Let a(b) = -b**3 + 7*b**2 + 3*b - 3. Let d(l) = a(l) - y(l). What is d(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (32\/(-24))\/4*-21?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 12275 in -0.03, -1\/2, 0.8, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -5530 rounded to the nearest one hundred?\nAnswer: -5500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 231 > 230?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + 2 + (-4*(sqrt(17) + -1) - sqrt(17))**2.\nAnswer: -40*sqrt(17) + 445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express (2181418 - 2181418 + 1660*h + h**2)*(1 - 1 - h**2) in the form y*h**3 + g*h + u*h**4 + x + n*h**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 198 is divided by 41.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 39 in 1, 348, -2, 34.7?\nAnswer: 34.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-5 - -1) + 419 + (4 - -1). Let v = s + -420. Is v equal to -51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(-30)*c*c*c*(c\/((c\/c**(-37))\/c*c*c))\/c*(c*c\/(c\/(c*c*c*c**23\/c*c*c*c*c)))**(9\/4))**(-2\/7) assuming c is positive.\nAnswer: c**(-3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put -26.8, 234\/19, -1, -5\/7 in ascending order.\nAnswer: -26.8, -1, -5\/7, 234\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 120 + 11122120102?\nAnswer: 11122120222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c be 4 - 6\/(8 + -2). Solve 2*w = 6, -27 = c*v - 4*w - 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1.217 rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j = u - 482, -u + 82 = -j - 76. Let k = -153 - j. Calculate the remainder when 19 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 662906492 and 709.\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = -l**2 + 8*l + 9. Suppose -141 = -4*m + 4*a - a, 2*a = 2*m - 72. Suppose i + 4*x + m = 6*i, x = -i + 12. Determine c(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 456 + 1966*i + 459 - 1373 + 458 in the form z + f*i and give f.\nAnswer: 1966","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*m**2 - 3*m**2 - m**4 + (-2*m**2 + 0*m**2 + 0*m**2)*(-2*m**2 - 2*m**2 + 3*m**2) - 3*m**3 + 3*m**3 - 9*m**4.\nAnswer: -8*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 609*q - 286*q + 1157*q - 76*q + 581*q.\nAnswer: 1985*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 4151*q**6 + 4414*q**2 wrt q?\nAnswer: 498120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000021873251 rounded to seven dps?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -18635, -74561, -167777, -298283, -466079, -671165, -913541?\nAnswer: -1193207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round 54665.79 to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 5379133 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.04 in 1, 0.08, -1, 605?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -157*0.4\nAnswer: -62.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4266.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 80856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1)\/10)\/(6140\/(-80) - -77) - (-552)\/5.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-7 - 0) + (-91 - -221 - 224).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 0.10450241419 to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = -n**2 - 40*n - 410. Give y(-18).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 109\/2248 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = 3*i, 0 = -5*c - 2*i - 3 - 21. Let d be (12\/(-4))\/(-9)*c. Let m be ((-25)\/d)\/((-5)\/(-10)). Solve 0 = 4*r + r + m for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from sslssslssslslssssssl. Give prob of picking 4 s.\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -29\/21 and (-76)\/56 + 5 + -2 + -2?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 776964 or 776963?\nAnswer: 776964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x + 4*x = 6. Is (-1702)\/(-5 + 3)*x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -102011037.3 rounded to the nearest 100000?\nAnswer: -102000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = m**3 + 16*m**2 + 17*m + 34. Let a be y(-15). Suppose -8*f + 1572 = 2*o - 13*f, -3132 = -4*o + a*f. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 divided by 741.\nAnswer: 2\/741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -232100 (base 5) to base 10\nAnswer: -8400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.8315018ng to micrograms.\nAnswer: 0.0008315018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 19416343 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 10\/9, 4, 1, 2\/11 in decreasing order.\nAnswer: 4, 10\/9, 1, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -0.1166+-2479530.1\nAnswer: -2479530.2166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 4401 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -g**2 + 9*g - 9. Let p be j(7). Suppose 16 = 2*m + p*u, -3*u + u = -4. What is the remainder when 7 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -331546 divided by 13\nAnswer: -331546\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 78850523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 400 minutes after 4:37 AM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = -1. Let q(s) = -2*s**2 + 6 + 3*s**2 + 4 - 3*s**2. Give -10*k(b) - q(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x = 2*z - 48, -22 = z - 2*z - 3*x. Let m = -7 + z. What is the remainder when m is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = 3*r. Let f(z) = 2*z + 1. Let n(w) = -23*w - 3. Let x(u) = -4*f(u) - n(u). Calculate -11*g(l) + 2*x(l).\nAnswer: -3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 6? (a) 0.5871 (b) -12 (c) -7\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10 - 0 - (4 + 10) - (-2 - 0 - -41).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f be (1\/2*2)\/(-1). Let m(b) = b**3 - 32*b**2 - 42*b + 294. Let w be m(33). Sort f, -4, w, -5 in ascending order.\nAnswer: -5, -4, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 259*m = 437*m + 534. Put 5, -7, -44, m, 4 in descending order.\nAnswer: 5, 4, m, -7, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 2952335*f - 1759765?\nAnswer: 2952335","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.075062689 - 138.925334311. Let j = 139 + l. Round j to 5 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b + 5*f = -69, -2*f = 4 - 8. Suppose -60*i - 38 = -b*i. Sort -27, 3, -5, i in descending order.\nAnswer: 3, i, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = c + 1, 0 = -3*v + 8*v - 4*c + 56. Let f = -3 - v. Calculate the least common multiple of 10 and f.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2.11 - -0.11. Let d = -3 + 5. Let m = 2 - d. Which is the closest to m? (a) 4 (b) f (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z = -5*z + s + 618, 5*s = 30. What is the least common multiple of 104 and z?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -69 + 83. Calculate the greatest common divisor of 56 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 13*j + 386 - 984. Solve -78*n + j*n + 288 = 0 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f - 34 = -2*h, -5*f = -3*f + 3*h - 27. Is 1\/(-2) + (207\/f)\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -8*n**2*y**2 - n**2*y + 12*n**2 - 2776*n*y**2 - 5737*n*y - y**2 - 2*y wrt y?\nAnswer: -16*n**2 - 5552*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 564 minutes before 3:55 PM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 6\/(-10)*(-43)\/(-129)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -121586, -121625, -121660, -121691?\nAnswer: -121718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = p**3 - 14*p**2 + 20*p - 19. Let u be 140\/30*(-12)\/(-14). Suppose j = -3*i + 49, 0*j = u*i + 4*j - 68. Is c(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = t**2 - t - 1. Let l(m) = -7*m**2 + 15*m + 4. Let q(y) = -6*d(y) - l(y). Let n be (-3*(-24)\/45)\/((-4)\/(-10)). Calculate q(n).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) be the first derivative of 7*f**6\/24 - 163*f**5\/12 + 115*f**4\/12 + 5*f**2\/2 - 9*f + 46. Let n(a) be the second derivative of o(a). Factor n(p).\nAnswer: 5*p*(p - 23)*(7*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 15865 + -15857. Suppose 3*q + 1 = -2*t - 8, 5*q + 34 = 3*t. Solve 0 = 5*f - t*f - y for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 5514*-2\nAnswer: -11028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u = -6.43 - -6.73. Let y = -2\/365 - -1103\/1460. What is the third biggest value in u, 4, 2\/15, y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -9545*t = -9452*t + 1953 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is five quarters of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 51845 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*g = -2348 - 11380. What is the highest common divisor of 48 and g?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.3 - -0.55. Let d = -0.2 + y. Let v = 0.049954 - d. What is v rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -16 + 10. Let p = 6.2 + d. Let s be (0 + -1)\/(2\/(-2)). Sort p, s, -5.\nAnswer: -5, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -19*b**3*s**3 - 109*b**3*s**2 wrt s?\nAnswer: -114*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 230 and 9706?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = l**2 + 4*l - 5. Let w be p(-5). Suppose -3*y + 7*y - 5*j - 45 = 0, -3*y - j + 10 = 0. Let f be -1 + (1 - w) + y. Which is bigger: 2\/7 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = 6*p + 53. Let q be m(-9). Let o be 2\/(-3)*(-14 + 2). List the prime factors of (o - q)\/((-21)\/(-42)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 3 + (2 - -1) - 3. Suppose 4*o + m*j - 12 = o, 4*j = 0. Solve -l - o*q = -14, 3*l + 8 = l + 4*q for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1\/4*(-2 - 2)\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*a = 3*a - 36. Suppose 0 = -2*l - 2*t - 2, -4 = 2*l - 4*t - 20. Suppose l*f - a = -2*f. What is the remainder when 7 is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 120 + -56. Suppose 2*q = 1 - 73. Let o = q + s. Calculate the remainder when o is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*l = 4*m + 23, 19*m - 18*m + 5 = l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (41 + -41 - (-10 - -1) - 23) + 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k be 4\/(-6) + (-28)\/(-15). Is k >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 53 + -51. Suppose -3508 = -4*d + o, 0 = -r*d - 2*o + 261 + 1503. What are the prime factors of d?\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 74524?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in -120070376, -120070388, -120070400, -120070412, -120070424, -120070436?\nAnswer: -120070448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 292*v = 287*v + 71700. What is v rounded to the nearest 100?\nAnswer: 14300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-42)\/19404*22)\/(2\/(-18))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (26\/(-104))\/(9\/396).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -2 (b) 8 (c) -243 (d) 3 (e) -113 (f) -1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00001801822414 to 6 decimal places.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1702 and 328782?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 76\/3843 and 67\/6832.\nAnswer: 61488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5 + (-4 - -1) + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 208, 1399, 4476, 10381, 20056, 34443?\n\"Answer: 157*r**3 + r**2 + 89*r - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = -89 + 107. Suppose 2*l = 124 + f. What are the prime factors of l?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -88, 1, -1 in increasing order.\nAnswer: -88, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 34 * -5048\nAnswer: -171632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 5558, 10505, 15452, 20399, 25346, 30293?\n\"Answer: 4947*a + 611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 300 is divided by 47?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.2 in -13\/630, -2.8, -1?\nAnswer: -13\/630","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 16887888 * -61\nAnswer: -1030161168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = 4*g - 6. Let j be 1*6\/g + -1. Suppose 5*s = -0*s + 45. Solve 0 = j*w + 3*d - 2*d - s, 5*d = -5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.02 * 19\nAnswer: -0.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -31\/5355 and 40\/63.\nAnswer: 5355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 6324892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = 544*q**2 - 2747*q + 134. Calculate y(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express 2844 - 370*g**2 - 2844 as r*g + o + u*g**2 and give u.\nAnswer: -370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 48\/356167 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 20 in 2\/23, -5, 4, 1.3, 1\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*sqrt(1815)*4*4)\/((sqrt(245) + sqrt(245) + sqrt(245) + (sqrt(245) - (sqrt(245) - (3*sqrt(245) - sqrt(245))))*4 + sqrt(245) + sqrt(245))*-2).\nAnswer: -440*sqrt(3)\/91","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1679521\/3 + -559507. Factor 1\/3*o**4 + f*o + 100*o**2 + 10*o**3 + 0.\nAnswer: o*(o + 10)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 7 + -7. What is the tens digit of (n - 58)*6\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-101 - 41*p**2 + 101)*(-3*p - 3*p + 3*p) + (-2 + 2 - p)*(2 - 2 + 1)*(-5 + 5 + 5*p**2) + 0 + 3*p**3 + 0 to t*p**3 + j*p + h + y*p**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p be (3\/2)\/(-7 + (-35)\/28). What is the fourth biggest value in p, -2\/3, 3, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1 (base 3) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -1351, -1409, -1503, -1633, -1799?\n\"Answer: -18*p**2 - 4*p - 1329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7194781 is divided by 3597373?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f + f = 9. Suppose 11 = 4*a + i, -2*a - f*i = 3 + 4. Suppose -3*p - 8 = -2*j, 2*p + a = j - p. Solve 13 + 7 = -j*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 - ((-9 - -5) + -4 + (3 - 6))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = -29\/148 - 2\/37. Let y = -65 - -77. Suppose y*o = 16*o. What is the nearest to o in t, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (14\/(-12) - -1)*(-180 - -182)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -68*s + 45*s - 237*s + (s + 2*s - 2*s)*(1 + 3 - 5) to the form t + z*s and give z.\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 24 - (49 + -20 + -16 + (0 - 2)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -z - 1. Let y be k(-4). Suppose -4 = 2*c - y*c. Calculate the greatest common factor of 4 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) be the first derivative of b**3 - b**2\/2 - b - 12. Let l be t(2). Suppose 2*x + l = 13. What is the smallest common multiple of 4 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.4+9360604327796\nAnswer: 9360604327796.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10744?\nAnswer: 2, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -25091 (base 10) to base 3\nAnswer: -1021102022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = 254.8 - 255. Let i = -0.3 - -0.6. Let t = i - l. What is t rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 8*j**3*n**2*t + 4*j**3*n**2 - j**2*n**2 + 9*j**2*n - 2*j*n**2 + 2*t wrt j.\nAnswer: 48*n**2*t + 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 12*s**2 - 8*s**2 - s**3 + 1 - 17*s - 3*s**2 to the form w*s**3 + z*s**2 + y + q*s and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -3*g**3 + 7*g**2 - g + 4. Let l(a) = -a**2 + 15*a - 56. Let s be l(9). Let j(q) = q**3 - 2*q**2 - 1. What is s*h(o) - 7*j(o)?\nAnswer: -o**3 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 562*u**2 + 49*u wrt u.\nAnswer: 1124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = -o**2 - 8*o + 11. Let h be j(-9). Suppose 0 = h*x - 6. Suppose -5*s + 4*q = -x*s - 10, s - 3*q = 0. Is s a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1129536 divided by 4?\nAnswer: -282384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (287\/(-3444))\/((-10)\/105)\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = 1812*y - 14487. Let l be a(8). Let d = 3 - 3. Solve -22 = 5*i + q, -3*q + d = -l for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -195524 - -391055\/2. What is p in -9*p - 1\/4*p**3 - m*p**4 + 0 + 3\/4*p**5 + 15*p**2 = 0?\nAnswer: -2, 0, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 323196933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 38173569 divided by 4\nAnswer: 38173569\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a = -109.054 - -0.054. Let o = 110 + a. What is the second smallest value in o, -4, -2\/9, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-29 - 32 - -21) + 3?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4\/140*7*5\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 11 - 1 = -2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = -2*a**2 + 2*a + 11. Let i(v) = -v**2 + v + 6. Let j(x) = -x**3 - 8*x**2 - 9*x - 13. Let s be j(-7). Let p be 4 + -10*1\/s. Determine p*r(q) + 11*i(q).\nAnswer: q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 284 a factor of 281728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = 7.9534 + -8. Let g = 0.068 + o. What is g rounded to 3 decimal places?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (150\/(-450)*(-4)\/23)\/((-12)\/(-9)).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(1\/9))**(-21\/2)\/(m**(-7)\/((m*m\/((m*m**(-5\/6))\/m))\/m)) assuming m is positive.\nAnswer: m**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 2, c: 3}. Give prob of picking 1 d and 1 c.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*q = 2*n - 28, 4*n + 4484685 - 4484675 = 3*q for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u + 23 = 5. Let z(l) = l - 11. Let f be z(u). What is the nearest to -2 in -1, f, -1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -335 (b) 0 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*m + 8857 = -8747. Suppose -6*q + m = 12*q. Does 9 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = 30*a**2 - 3513*a - 384. Determine s(117).\nAnswer: -735","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o = 26 + -18. Let c = o - 6. Let d be 91\/14 - c\/4. Solve 5*y - 4 = d for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = q. Suppose -34 = -l - l. Let t = -15 + l. Let s(p) = 0 + t + 15*p**2 - 2. Determine s(k(x)).\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5 - (-4 + -4 + 7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1745054532 a multiple of 537?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2, 36, 128, 308, 606, 1052, 1676, 2508?\nAnswer: 3578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 41484618?\nAnswer: 2, 3, 7, 329243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let 2*x**4\/11 + 10930*x**3\/11 - 10980*x**2\/11 - 262440*x\/11 - 393552\/11 = 0. Calculate x.\nAnswer: -5466, -3, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = 2*p**2 - 2*p + 16. Let n(i) = i**2 + i + 1. Determine -2*n(j) - u(j).\nAnswer: -4*j**2 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -409*f - 31. Is g(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -8, -37, -82, -143, -220, -313, -422?\n\"Answer: -8*n**2 - 5*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*y = 21*n - 16*n + 13, -n + 11 = 4*y. Factor -208\/3*a + 676\/3*a**y + 16\/3.\nAnswer: 4*(13*a - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 273317*n**2 + 132218.\nAnswer: 546634*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*i = -i - 10. List the prime factors of (i + (-74)\/6)\/((-24)\/216).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -8\/7 and -27\/1198.\nAnswer: 8386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1272567?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 333 (b) -1\/2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2053\/7 - -293. Let i = -3 - -1.9. Let t = -1 - i. Which is the nearest to -1\/2? (a) t (b) y (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q + q = -4484. Suppose -4*j + 2956 + q = 0. Suppose -z + 2*z + 620 = 5*i, -3*z - j = -i. Round z to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bxx when three letters picked without replacement from {b: 10, g: 2, x: 2}.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 144412, 144482, 144552?\n\"Answer: 70*p + 144342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 945*d**4 - 3*d + 762 wrt d.\nAnswer: 3780*d**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify n\/(n*n**(3\/10))*n*n\/(n\/(n\/n**6)) assuming n is positive.\nAnswer: n**(-43\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1983, 1976, 1957, 1920, 1859, 1768?\nAnswer: 1641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1 + -1011010?\nAnswer: -1011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -4 (b) 7 (c) 0.4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor 10*n**3\/3 + 138*n**2 + 548*n + 592\/3.\nAnswer: 2*(n + 4)*(n + 37)*(5*n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 1, s: 4, z: 3, t: 5}. What is prob of sequence stt?\nAnswer: 20\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = 7*r**2 - 103*r - 1773. Is 26 a factor of p(-23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-23)\/(138\/(-8))*(-6)\/(-9)*282\/32336?\nAnswer: 1\/129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.11 and -0.016.\nAnswer: 0.00176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -1\/6358 and -15\/34.\nAnswer: 6358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = n + 11. Let u be 34\/(-6) + 1\/(-3). Let j be -2 - u\/((-6)\/3). What is the units digit of o(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -19 = o + 9*j - 4*j, 3*j = 4*o + 7 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c = -3*k + 7 + 8, 2*c = -2*k + 6. Let b = 6293 - 6292. What is the nearest to 2\/3 in c, -3\/4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -11*d**3 + 17*d**2 + 16*d**3 - 600*d - 609*d + 1217*d to t*d + c*d**3 + b*d**2 + p and give b.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -2225 - 1?\nAnswer: -2226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z - 51 = 45. Let t be (-2)\/3 + z\/(-12). Suppose -2*s = -t*b, -5*s + 7 = b - 11. Solve -3*g - b = -j - 2, j + 3 = -g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*g**4 + 4*g**2 - 4*g**2 + 4*g + 2*g**4 - 4*g + (-1 + 2 + 0)*(-g**4 - 3*g**4 + 5*g**4) + 18*g**4 - 19*g**4 + 25*g**2 + 12*g**2.\nAnswer: 7*g**4 + 37*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort -1.1, -4, 2 in descending order.\nAnswer: 2, -1.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 112249 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) be the first derivative of r**3\/3 - 7*r**2\/2 + 8*r + 2. Let h be d(6). Solve -5 + 4 = 4*u - 3*v, -h*u = -v + 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 14\/(-4) + (-1)\/2. Let o(g) be the first derivative of g**3\/3 + 2*g**2 + 2*g + 26. Determine o(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*a - 4*a = 0. What is the closest to 0.3 in 0.3, a, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -50 - (-13 - -6) - ((-4 - -10) + (1 - -2))\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**(-1\/2)\/p)**(-27)\/(p*p**(2\/7)\/p*p\/(p**(2\/11)*p)))**17 assuming p is positive.\nAnswer: p**(105757\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5 times 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Work out -21853 + 52837.18.\nAnswer: 30984.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = -t**3 + 10*t**2 + t - 8. Determine f(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 101101011000 (base 2) in base 16?\nAnswer: b58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 105 = -2*m + 103 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/8 of a millennium in months?\nAnswer: 31500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = 93 - 92.92. Let b be (-146)\/72 - (-254)\/(-1143). Which is bigger: u or b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 421027.5 centimeters?\nAnswer: 4210275000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z = z + 2. Let i = 218 - 223. Let v be ((-140)\/7)\/(-2)*(-2)\/i. Solve -z*x - 2 = v for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 127604 (base 16) to base 9\nAnswer: 2243548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 36074732387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 6734 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g = -7 + 3. Let y be g - -1 - 0\/3. Let r = y + 6. Solve 4*t - 1 - r = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find m such that m**4\/2 - 159*m**3\/2 + 6399*m**2\/2 - 6241*m\/2 = 0.\nAnswer: 0, 1, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = -3*t - 3. Let s be a(1). Suppose 80 = -2*j - 2*j. Let p(i) = 16*i. Let z(b) = -5*b. Let l(m) = j*z(m) + s*p(m). Let q(w) = -2*w**2. What is l(q(g))?\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 419 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is (-6)\/(-21) - (2 - (-31)\/(-14))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 2, k: 1, m: 5, n: 1}. Give prob of picking 1 n, 1 d, and 1 k.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e and 1 z when two letters picked without replacement from {e: 1, z: 1, x: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = 2*t**2 + 7*t - 5. Calculate k(-8).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(175) - (-1 + sqrt(175))) + 3 + sqrt(175).\nAnswer: 4 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*b - 2*b + b + (-4 + 3 - 13)*(4*b - 4*b + b) to the form i*b + p and give i.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10334056.\nAnswer: 2, 281, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 - 2 + d**2)*(-10*d**2 + 24*d**2 + 17*d**2) + 14 - 11*d**4 - 14 to the form n*d**3 + o*d + h + r*d**4 + x*d**2 and give r.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 13 - (-9 + 9 + 8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000181053 rounded to 7 dps?\nAnswer: -0.0000181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 79 a factor of 352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x = -9 - -66. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 256 = 3*p - 2*p. What is the highest common factor of p and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be -37*(105\/18 - -2). Let l = 289 + k. Are -2 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -5 + 3. Let x be -2 + (-150)\/(-33) + v. Let p = 25.19 - 26.19. Which is the closest to 2\/3? (a) p (b) -3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kbbkbbbbsbbsbbsbbb. Give prob of sequence bk.\nAnswer: 13\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) be the first derivative of -k**4\/8 + k**3\/6 - 21*k**2\/2 - 15. Let i(z) be the second derivative of n(z). What is i(4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 306 is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = -293*c + 2486. Give a(8).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 34 - 17 - 20*(-6 - (-52)\/8)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j = -j + 16, -2*w = 2*j - 6. Let a be w + 4 + (-4)\/(-4). Find the third derivative of -l**4 + 10*l**a - 3*l**4 - 3*l**4 + l**2 wrt l.\nAnswer: 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*y - 75520 = 25*y. Round y to the nearest one hundred.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-4173)\/2982 + (-6)\/(-7). Let d = g + 3\/71. What is the biggest value in -0.3, d, -2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose k - 19 - 59 = 0. What are the prime factors of k?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*v + 12 = 5*g, v + 5*g + 14 = 11 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -127*k**4 + 25*k**2 + 15*k + 548577 wrt k?\nAnswer: -508*k**3 + 50*k + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*o - 237 = -3*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine f, given that -55*f**5 - 1620*f**4 - 12080*f**3 + 8730*f**2 + 159975*f - 87750 = 0.\nAnswer: -15, -13, -5, 6\/11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = -w**3 - 12*w**2 + 5*w - 5. Determine n(-13).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*r**4\/13 + 716*r**3\/13 - 108790*r**2\/13.\nAnswer: 2*r**2*(r - 115)*(r + 473)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 20*b**3 + b**2 - 18772347*b + 166999324.\nAnswer: 60*b**2 + 2*b - 18772347","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 48 and 800.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f be 0\/(-8 + 12\/2). Let o(m) be the first derivative of f*m**2 + 4*m + 4\/3*m**3 - 4. What is the derivative of o(t) wrt t?\nAnswer: 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0 not equal to 10\/1137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in 151955, 151993, 152017, 152021, 151999, 151945, 151853, 151717?\nAnswer: 151531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(3\/5))**37\/(i**(5\/6)\/((i\/i**19)\/i)) assuming i is positive.\nAnswer: i**(71\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -3\/4 (b) -1 (c) -27.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p = 13.3 + -29.9. Let i = p + 23.9. Let o = 7.3 - i. Sort o, -3, 3, -1 in ascending order.\nAnswer: -3, -1, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -193.8 times 27?\nAnswer: -5232.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 3496 = 182*s + 2*s for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand 32*d**5 - 24*d**5 + 15*d**5 + (2 - 2 - 2*d)*(2*d**4 - d**4 - 3*d**4) - d**4 - 2*d**5 + d**4.\nAnswer: 25*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((((y**6*y)\/y)\/y)\/y)\/y**12)\/(((y\/y**(-3\/2))\/y)\/(y*y\/(y**6\/y*y*y)*y)) assuming y is positive.\nAnswer: y**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4*293.\nAnswer: 1172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Divide -320 by -160.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in -5, 2977, 0.06, 4, -5\/3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1.31 - -62.69. Let p = 55.75 - j. Let o = 0.05 + p. Round o to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -f. Let a(v) = -6*v**3 - 3*v**2 - 6*v. Let u be a(-2). Suppose -7*q = -9*q + u. Let l(b) = -39*b**2 + 26*b**2 + 11*b**2 + q*b**2. Determine k(l(o)).\nAnswer: -22*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 4465 less than or equal to 9843?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((c**(2\/19)\/((((c*c**5*c)\/c*c*c)\/c)\/c))\/((c*(c*c**11)\/c)\/c**(-8)))**(-1\/47))**(-2\/135) assuming c is positive.\nAnswer: c**(-328\/40185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p**5 + 31*p**4 - 23*p**3 - 11*p**2 = 0. What is p?\nAnswer: -11, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 28628.\nAnswer: 2, 17, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) be the second derivative of -t**4\/16 + 3*t**2\/8 - 8*t. Let p(q) = 0. What is q?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = 270*o - 5. Let h(r) = 7*r - 1. Let z(f) = 5*h(f) - i(f). Let n(b) = -3*b**2. Calculate z(n(y)).\nAnswer: 705*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -7\/214, 5, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Subtract 15.148 from -9377.\nAnswer: -9392.148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 26\/(-182) - 33\/(-616)*-450 and 242\/36 - 2\/(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -17391619*i**2 - 147*i + 947572 wrt i?\nAnswer: -34783238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = 681*g - 6126. Calculate i(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = 3*m**3 - 2*m - 3. Let s(v) be the second derivative of v**5\/5 - v**3\/2 - v**2 + 4*v + 1. What is -3*b(c) + 2*s(c)?\nAnswer: -c**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x = -4 - -3. Let k = 11.088 + -0.188. Let f = 17.9 - k. Which is bigger: x or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 16 + 3. Let r be (2 - 0)*-1 - -4. Suppose 0*x + 418 = r*x. What is the highest common factor of i and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 529.748 plus -10?\nAnswer: 519.748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*x + 17 = x + 4*a, 0 = -5*a - 15. Calculate the remainder when 113 is divided by x.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = 13*d - 2. Let c(r) = -28*r + 5. Let o(i) = -2*c(i) - 5*n(i). Let t(x) = -16*x. Give o(t(w)).\nAnswer: 144*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Product of 37 and -44.\nAnswer: -1628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = -r**3 + 24*r**2 - 18*r + 18. List the prime factors of a(19).\nAnswer: 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-6)\/(-14)*(-4690)\/(-6030))\/(22\/42)?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 528 and 18688.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1)\/11 + (-675)\/(-891).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n = -2*h + 12, -n + 1 + 7 = 2*h. Calculate the highest common divisor of 2 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = 7*c**2 + 7*c. Let a(w) = -w**2 - w. Let d(n) = 10*a(n) + 2*t(n). Factor d(g).\nAnswer: 4*g*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a millisecond in microseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -187*c + 18. Let b be f(-14). Suppose -o - 1761 - 905 = -3*k, 0 = -3*k - 5*o + b. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 29094 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k = 15090 + -15089.99954567. Round k to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4459146 is divided by 4459142.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 88983 + -631339.\nAnswer: -542356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:04 AM and 8:31 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 4 (b) -1.31 (c) -5 (d) 0.5 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -735, -525, -315, -105, 105, 315?\nAnswer: 525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13263 is divided by 707?\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-213)\/284 + ((-127950)\/8)\/(-5). What is the greatest common divisor of t and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -702.4 plus 0.5?\nAnswer: -701.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = 173*w + 953. Give r(-5).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -b15b19 (base 12) to base 11\nAnswer: -1620815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -2\/7 or -2441730\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = x**3 - x**2 + x - 2. Let y be h(2). Let f = 1.4 - 1. Let w = f - 0.6. Which is the second biggest value? (a) y (b) w (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 221171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mem when three letters picked without replacement from {u: 4, m: 7, e: 4}?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = q**2 - 3*q - 24. Let v be o(-4). What is the second derivative of 47*u**v - 94*u**4 + 8*u + 13*u wrt u?\nAnswer: -564*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-10)\/8)\/((-1)\/(9 + -5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 152 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify o**(1\/9)\/(o\/(o\/(o*o**(-12)*o))) assuming o is positive.\nAnswer: o**(91\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is ea - -43437?\nAnswer: 43532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = -w**2 + w. Let u = -9 - -10. Let c(n) = 3*n**2 + 27*n + 20. Let j(q) = u*c(q) - 2*m(q). Factor j(z).\nAnswer: 5*(z + 1)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = s**2 + 25*s - 13. Determine f(-26).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 121\/102 and -59\/4.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j\/(j\/(j\/(j\/j**(1\/4))*j)))\/j**(-5)*(j*j**(2\/7)\/j)\/(j**(2\/11)\/j) assuming j is positive.\nAnswer: j**(2265\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -29*g + 30. What is the hundreds digit of j(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 28 + -25. Let o(v) = -3*v + v**w + 1 + 0*v**3 - 5*v + 6*v + 4*v**2. Calculate o(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-1)\/((15128\/5042 + -3)\/(-1)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be -4 + 2 + (-2 - -10). Let v = -173 + 175. What is the second derivative of -2*k + 23*k**v + h*k - 2*k + 2*k wrt k?\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = 2*x**3 - 46*x**2 - 443*x + 2800. Determine u(29).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w - 14 = 5*r, 4*w = 2*r + 3*w + 6. Let o = -3 - 3. Let u = r - o. Solve -u*b + 3 = -3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 51\/4 of a microgram?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1269 - -1295 - (0 + 6).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q = -5*c - 3, q = -2*q - 4*c. Suppose q*l - 6*l = 8. Calculate the least common multiple of 4 and -6 + (-12)\/(-3) - l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 20 and 1220092?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 99244.\nAnswer: 2, 43, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-5))**(-2\/45) assuming q is positive.\nAnswer: q**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 114 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 6}. Give prob of sequence gggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 947576 is divided by 189489.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 5 (b) -9\/4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -2 + 3 - (5 + (-6 + 3 - -10))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b + 0*c + 8 = -2*c, 4*b = -5*c + 22. Suppose -213 = -2*t - b*d, -4*t - 5*d - 43 = -466. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 3138 - -3331. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 132 (base 5) in base 13?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) be the third derivative of -2*i**5\/15 - 5*i**4\/4 + 5*i**3\/6 + 2504*i**2. Determine a(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.2 in 0.22, -0.19, 28?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = o**2 + 3*o. Let u be b(-10). Suppose 0*s + u = -2*z - 5*s, 2*s = z + 17. Let r = -21 - z. Solve -5*v = -6*v + r for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-696)\/4698*12\/40?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 - (4 - 5 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = 447.1 - 447. Which is the nearest to g? (a) 0.1 (b) -1 (c) -17\/3 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) be the third derivative of g**4\/8 - 5*g**3\/6 - g**2. Let l(m) be the third derivative of -m**4\/3 + 7*m**3\/3 + 12570*m**2. What is -11*i(r) - 4*l(r)?\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -6? (a) 0.3 (b) -2 (c) -19 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:55 PM and 8:26 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: (-42)\/(-8)*((-418)\/133)\/(-22)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -56 + 13 + 49*p - 47*p - 55 to the form c + y*p and give c.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p = -9\/137 - 615\/3151. Let o be (-13360)\/(-25) + 5\/(25\/(-2)). Let v = -535 + o. Is v <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 16 - 18.6. Let c = -2.5 - v. What is the third biggest value in c, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = 38*u - 249. Give y(4).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -1 - 3059\/(-230) - 4\/(40\/3)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*q - 2 + 2 + (-2*q + 3 - 3)*(-1 + 0 + 0) + 2*q - q + 2*q)*(-36 - 6 - 2).\nAnswer: -88*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2209\/2444 - 6\/8 - ((-770)\/65 + 4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 divided by -3351668.\nAnswer: 5\/3351668","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} {"text":"Question: What is (-12)\/(-810)*6*(-10)\/(-4)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1, -12, -35, -70, -117, -176?\nAnswer: -247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 2, x: 3}. What is prob of sequence xffx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 41\/168 and -8\/152763?\nAnswer: 8554728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 109.766675 * -0.1\nAnswer: -10.9766675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -400, -2903, -6832, -11989, -18176, -25195, -32848, -40937?\n\"Answer: 33*z**3 - 911*z**2 - z + 479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.2 in 1, -1\/2, 4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) be the third derivative of 3*r**4\/8 + r**2. Let h(m) = 5*m. Let c = -81 - -92. Give c*h(n) - 6*l(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round 0.345122 to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -7*((-142)\/213)\/((-49)\/(-3))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*g + 2*x = 0, -2*x = 2*g + x + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is ((-5)\/(15\/3))\/(1\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -1123 - 134?\nAnswer: -1260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*-2*sqrt(8)\/sqrt(4)*-3.\nAnswer: 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -c - 79. Let g be t(11). What is the tens digit of ((-11)\/(-1))\/(4 + g\/24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -109*s - 249*s - 5967 = 835 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -26*k + 203. Let c(n) = -30*n + 202. Calculate 7*c(b) - 8*l(b).\nAnswer: -2*b - 210","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (144074\/8 - -3)\/(-6*3\/(-72)).\nAnswer: 109, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-28012500)\/75)\/((27\/30)\/(-3)). Round m to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -10 - -5. Let d(z) = -2*z - 4. Let l be d(u). Let p(j) = 7*j**2 - j. Let k(f) = -6*f**2 + f. Give l*k(g) + 5*p(g).\nAnswer: -g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h be (((-9)\/(-4))\/(-1))\/((-2)\/8). Solve 1 = -2*a - h for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = 14*b + 6. Let h(q) = -2 - q - q - 7*q + 4*q. Let j(s) = -17*h(s) - 6*w(s). Give j(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -213*a + 216*a = 12. Let b(k) be the second derivative of -6*k**3 + 0 - 2*k - 3\/2*k**2 - 9*k**a. Let b(h) = 0. Calculate h.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -26\/177 + -3191\/30090. Find the common denominator of (-5175)\/(-138)*(-4)\/12 and k.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 4 - -1. Let b = a - 4.7. Which is greater: -2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 23, 100, 217, 368, 547?\n\"Answer: -i**3 + 26*i**2 + 6*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = -11\/223 - 10137\/2453. What is the common denominator of x and -8\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify h\/(h*h**8)*(h**6\/h)\/h*h**(1\/8)\/(h*h**(3\/7)*h)*(h**(-1\/4)\/(h*(h\/(h\/h**(1\/7)))\/h*h))\/(h\/(h\/(h**(-2)*h*h))*h)**(-8\/5) assuming h is positive.\nAnswer: h**(-1707\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -28 or -55\/2?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -266*p**5 - 58*p**2 + 34*p + 333?\nAnswer: -5320*p**3 - 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n + 6 = 3*f + n, -2*f - 3*n + 2 = 0. Let h be f\/(-20)*(-2 - 3). List the prime factors of 780\/(-24)*(-1 - h).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1.1 + 2.1. Which is the second biggest value? (a) -0.01 (b) -3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -13340968\/169271 + 4650\/59. Which is the fourth smallest value? (a) 0.1 (b) 3 (c) -1\/5 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -67*v**2 - 84 with respect to v.\nAnswer: -134*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:11 PM and 9:10 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.11 - -0.03. Let s = r + -0.02. Suppose 0 = -3*k + 10 - 7. What is the closest to 0.2 in s, -1, k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 83 and 27141.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u = -3 + 0. Let n be 159\/6*2 - u. What is the highest common divisor of 8 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-25 + (8 - -7) - (0 + -76 + 0)) + 3?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3 - (-4 - (-1 + 2))) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = 19 - -3. Suppose 6*d = 4*d + s. Suppose -1314*q + 4239 = -1017. What is the remainder when d is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = c**3 - 6*c**2 - 9*c + 7. Let u be z(7). Let q = u + 8. Suppose 63*s - 108 - 18 = 0. Solve -s*m - q = -9 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -85084.95 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) be the first derivative of 2*h**3\/9 - 4*h**2 - 56*h\/3 - 85. Determine f so that i(f) = 0.\nAnswer: -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2090927011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6 - 2*u + 6)*(-2 + 1 + 3)*(0*u + 8*u + 5*u).\nAnswer: -52*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j = -2*i - i - 42435, 17005 = 2*j + 5*i. Let s be (0 + (-10)\/(-6))\/((-120)\/(-611540)). Let q = j - s. Find the common denominator of -13\/18 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 2200 and 95840?\nAnswer: 5271200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -523, -524, -525, -526, -527?\n\"Answer: -v - 522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 324\/78 - 4 - 11\/(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u - 21 + 65 = -2*h, -4*u - 72 = 4*h. Let m(r) = -r**3 - 15*r**2 - 17*r - 6. What is the units digit of m(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 53429079 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = c**3 + 8*c**2 + 3*c + 28. Let p be f(-8). Solve 5*w - 4*z - 16 = 0, -2*w = 3*z + p - 15 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.2 - -661.8.\nAnswer: 661.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1898 - 1893)*108\/(-10)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 4\/3 + (-1644)\/(-36). Suppose -6*a - 108 = -3*a. Let v = a + x. Calculate the greatest common divisor of 99 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*f**5 + 770*f**4 + 35*f**3 - 5360*f**2 - 4620*f = 0 for f.\nAnswer: -2, -1, 0, 3, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w + 40553 = -y, 3*w - 4*y - 81108 = -w. Is ((-2)\/(-3))\/(w\/6756 + -3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (6 + -5 + 19 - 6) + -2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = q - 15. Let j be d(17). Suppose j*f = f. Solve k = -f - 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.3 in -0.04, -7, 5\/46?\nAnswer: 5\/46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = -4*z - 7. Let m(b) = 2 + 0 - 3*b - 6 - 1. Let v(o) = -5*d(o) + 7*m(o). Let k(i) = 5*i**2. Determine k(v(w)).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*r + 5*z - 30, -4*r = -8*z + 3*z + 12. Solve r*f - w = -f + 17, -3*f - 3*w + 9 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 19*j = -196 + 272 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = o**2 - 25*o - 452. Let z be x(37). Sort 4, -6, z in decreasing order.\nAnswer: 4, -6, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 less than -1\/13749?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1136 divided by 5.\nAnswer: -1136\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) be the second derivative of 0*k**3 + 49*k - 2 + 13\/12*k**4 + 1\/20*k**5 - 2*k**2. Give s(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find q, given that 3*q**2 - 3627*q - 7266 = 0.\nAnswer: -2, 1211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*v - 4*k + 166, v + 3*k = -3 + 84. What is the remainder when v is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*q = -13*q - 11 + 59 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*r + 34 = 4*k - 2*r, -44 = -5*k + 3*r. What is the remainder when 141 is divided by 7*3\/k*12?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-11)\/3 + 9420\/360)\/((-12)\/(-8))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is (24\/40)\/((-8961)\/2575*(-5)\/(-2))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mxxujbujtmmx. What is prob of sequence jxx?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g = 27 + -24. Suppose g*t = -0*t - 57. Let j = t - -32. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = j**3 + j**2 - 1. Let k(c) = -9*c**2 + 7. Let b(t) = -k(t) - q(t). Suppose 3*m + 22 = -l, -4*l - 28*m + 33*m = -82. Calculate b(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 6617237 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 49188 a multiple of 366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 12456 and 216.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) be the second derivative of 17*j**3\/6 + 7*j**2\/2 + 10*j. Let d(i) = 84*i + 34. Let n(t) = 3*d(t) - 16*y(t). Differentiate n(x) wrt x.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 47\/36 - 14\/9. Let z(s) = -s. Let n be z(-6). Let l be 16\/n + -1 - 1. Which is the nearest to l? (a) 3 (b) u (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 374394935 * 0.4.\nAnswer: 149757974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 21396203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + -4 - -3 - (24 + -15).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 44085894?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 - -38 - (176\/(-396) - (-708)\/(-108)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6633?\nAnswer: 3, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6*x**2 + 3*x**2 - 3*x**2)*(5*x + 15*x - 11*x)*(0 + 1 + 0).\nAnswer: -54*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 6150300 rounded to the nearest one hundred thousand?\nAnswer: 6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 380 is divided by 77?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 27 a factor of 2031600420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = 2*y**2. Let z(b) be the first derivative of 61*b**3\/3 + b**2 - 302. Give w(z(p)).\nAnswer: 7442*p**4 + 488*p**3 + 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -129928, -259850, -389772, -519694?\nAnswer: -649616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 8009 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 1046 = 2*q + 2*j + 1066, 5*q + 41 = -2*j for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b = 128 - 77. Let n = 85 - b. Does 8 divide n*(-1)\/(-4)*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -3 + 5. Let u(p) = -7*p + 4 + 3*p**z + p**3 - 1 - 9 + 1. Give u(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = 2*m**2 + 3*m - 51. Let p be z(-6). Solve 4*b - p*b = q - 3, 15 = -4*b + q for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*u - 5*v - 445 = -371, 4*u - 12*v - 180 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + 0 + (sqrt(175) - (1 + (sqrt(175)*-4 + sqrt(175))**2 - sqrt(175))).\nAnswer: -1578 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = 6*z + 22. Let w be f(-5). Let d be (-5 - 22\/w)*16\/(-6). Solve -2*u = -2*l - 4, -3*u - 2*l + d = 2*l for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -789*f**2*p**2 - 1682*f**2 - 4*f*p**3 + 2*f wrt p.\nAnswer: -1578*f**2*p - 12*f*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h = 41 - 23. Suppose -k = 3*j - 47 + 12, 0 = 2*k - j - 42. Solve 0 = -5*i + 2*m - h, -2*i - 5*m + 10 = k for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 61799109 to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Determine r so that -485*r**5 - 31000*r**4 + 237785*r**3 - 432620*r**2 + 34080*r = 0.\nAnswer: -71, 0, 8\/97, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 20462, 81798, 184024, 327140, 511146, 736042, 1001828?\nAnswer: 1308504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = -t**3. Let d(l) = -75*l**3 - l**2 + 20*l. Let b(x) = 4*a(x) - d(x). What is the third derivative of b(w) wrt w?\nAnswer: 426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 3\/10, -1, -7, -0.4, -0.5 in decreasing order.\nAnswer: 3\/10, -0.4, -0.5, -1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 14752419 or 14752418?\nAnswer: 14752419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g = -642 - -638. Let z(w) = -w**2 - 5 + 0 - 4*w + 2. Let i be z(g). Which is greater: i or -6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 53*u - 5*u - 11856. Calculate the remainder when u is divided by 66.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2143540556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b be (0 - 0)*-1 + 81. Let j be ((-540)\/(-48) + -11)*(93 + -1). What is the second derivative of j*m + 39 + 42 - b + 22*m**3 wrt m?\nAnswer: 132*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13 = 2*h - 2*z + 3*z, 4*h + z = 29. Suppose -3*x + 2*u - 17 = 0, 2*x + h + 3 = u. What is the third biggest value in -2, -3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s and 1 w when two letters picked without replacement from {s: 1, w: 1, u: 3, l: 6, q: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -0.218303 rounded to 2 dps?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x = -6045 + 6047. Solve -3*v + 22 = -5*t - x, -3 = 4*v + 5*t for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8 - 2 - (-44 + 35).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a + 4*b + 1409 = -839, -5*b - 538 = -a. Calculate the remainder when a is divided by 46.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 6, b: 4, f: 7}. What is prob of sequence eeee?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) be the second derivative of -x**3\/3 + 2*x. Let f(p) = 2*p**2 - p**2 + 2*p**2. Give w(f(m)).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 20*y - 20463 + 20463.\nAnswer: 20*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Determine u so that -6*u**2 + 6*u**2 + 6 + 2*u + 3*u**2 + 7*u = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 2 + 7.998226299.\nAnswer: 9.998226299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3105117 to the nearest integer?\nAnswer: 1762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(-5*((sqrt(833)*2 + sqrt(833) + sqrt(833))**2 + 4) - (0 + sqrt(833) + -2 + 0)) + -3.\nAnswer: -199977 - 21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -b**3 - 5*b**2 + 2*b - 3. Let y be r(-5). Let l(k) = 5*k**3 + 7*k**2 - 6*k - 4. Let w(n) = -11*n**3 - 15*n**2 + 13*n + 9. Give y*l(h) - 6*w(h).\nAnswer: h**3 - h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y = -668\/5 + 134. Let o = -0.1 - 0.9. Let j = -1.2 - o. Which is the nearest to -1? (a) j (b) y (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -82955*j**3 + 29538*j**3 + 26747*j**3 + 29480*j**3.\nAnswer: 2810*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -113\/3500 and -123\/98644?\nAnswer: 12330500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 136.743 + -68?\nAnswer: 68.743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 + 2 - 3)*(4*z**3 + 0*z**3 + 0*z**3)*(-4*z + 3 - 3) - 6*z**4 + 2*z**4 + z**4 to h*z + n*z**2 + o + c*z**4 + f*z**3 and give c.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 787335 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -5 (b) -0.129 (c) -0.5 (d) 8\/623\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 3 - -30db?\nAnswer: 30de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 173*x = 167*x + 2700. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -8*b**4 - b**4 + 80*b**2 + 4*b - 82*b**2 in the form m*b + n + s*b**3 + l*b**2 + h*b**4 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 1937.2 rounded to the nearest one hundred?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -16*m + 38*r + 214 = 41*r, 5*m - 67 = -r for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -359 = -9*o + 820. Suppose -6*d + 449 = o. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-14)\/(-35) + (-24)\/10. Let s = 6 + -3. Sort s, l, -4 in decreasing order.\nAnswer: s, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 157 = 22*p + 71 - 178. Solve 5*n - 4*g - 20 = 0, 2*n - p + 4 = -4*g for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2477, -4962, -7451, -9944, -12441?\nAnswer: -14942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -2\/130471?\nAnswer: -2\/130471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s = 64 - 19. Calculate the highest common divisor of 18 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 617944?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1237\/2 - -606. Let k = 96491\/4866 - -3\/811. Find the common denominator of k and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 129\/157360 and -143\/151740?\nAnswer: 4248720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u + 2088 = -2*t, 4*u = -0*t - 4*t + 4200. Suppose 154 = -u*m + 1048*m. Does 11 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 367999 is divided by 4047?\nAnswer: 3769","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3)\/5 - (-133)\/105.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Product of 4 and -27601.\nAnswer: -110404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.355 - -1.645. What is the second biggest value in -3\/5, -0.2, -11, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(77) - -4*1*sqrt(77))\/((sqrt(11) - sqrt(275))*-6).\nAnswer: 5*sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(1\/4)*l*l**(-1\/6)*(l\/((l**(-2\/9)*l)\/l))**(-2\/13))**14 assuming l is positive.\nAnswer: l**(2933\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = 4*h - 6. Let d = 2 + -1. Which is smaller: h or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -8 + 2 + -24 + 10 + 8 + -2\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v + 5 = -27. What is the remainder when 22 is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 509*z + 307*z - 770*z.\nAnswer: 46*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 6448.65601 rounded to one dp?\nAnswer: 6448.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 10456468, 10456467, 10456466?\nAnswer: 10456465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -0.58866 and 506090?\nAnswer: 506090.58866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 48.47708 tonnes to grams.\nAnswer: 48477080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 0*-0.9764992\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 23 divide -3*25\/15 + 16449 + -11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 201220 + -120?\nAnswer: 201100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:40 AM and 8:19 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r = -109 + 7. Let m = 104 + r. Suppose -5*b - 3*w + 6 = 0, -4*b + 4 = 2*w - m. Solve b*k = -2 + 14 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 29777407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p = 972 - 960. Find the common denominator of 75\/76 and 1377\/(-810)*2\/p.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (-2*(sqrt(320)*2)**2 - (-5 + sqrt(320)*2))*-3 + (5*(1 + sqrt(320) + 1 - (-3 + 0 + sqrt(320))))**2 + -3.\nAnswer: 48*sqrt(5) + 8283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -155*f + 5. Let h = 4 + -1. Let g(n) = -466*n + 16. Let q(c) = h*g(c) - 10*u(c). Let x be q(-4). Round x to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3007171 divided by -1.\nAnswer: -3007171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 794 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-7)\/1*4\/182.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 81\/438712172 and 85\/199128.\nAnswer: 2632273032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 163*k - 265 - 550 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = p**3 + 12*p**2 - p + 3. Determine o(-12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ssww when four letters picked without replacement from ssswssssssws?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 152 is divided by 28?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = f**2 - 35*f + 57. List the prime factors of d(-35).\nAnswer: 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -21313 - -2?\nAnswer: -21311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = -b + 1. Let m(s) = 3*s - 3. What is m(p) + 4*u(p)?\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/35, -2\/5, -469, 0.4, -1\/3, 5 in decreasing order.\nAnswer: 5, 0.4, 2\/35, -1\/3, -2\/5, -469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zww when three letters picked without replacement from {z: 11, w: 3}?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.19 - 0.48. Let r = f + 0.087. Round r to two dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -l**2*w**3 - 723*l**2*w + 40*l**2*z**3 + 66*w**3*z**3 + 7*w**3 wrt z?\nAnswer: 120*l**2*z**2 + 198*w**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:23 PM and 9:48 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v + 24 = -4*v. Let m(q) = -2*q**2 - 6*q + 2. Calculate the least common multiple of 9 and m(v).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-1 + 1 + 3)*(-6 + 6 - 7*q)*(2 + 5 - 3 + (-2 + 0 + 3)*(1 - 3 + 1)) in the form x + n*q and give n.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0001032 to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 10134113 (base 6) to base 12.\nAnswer: 121339","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-261)\/(-306))\/29*2?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many tonnes are there in 1.441327ng?\nAnswer: 0.000000000000001441327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) be the first derivative of h**3\/3 - 7*h**2\/2 + 3*h - 32. Let c be y(6). Let z be 3 + 1*(2 - (3 + c)). Let a(i) = i**3 - 6*i**2 + 6*i. Give a(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 147653572 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = -5*o**2 + 45*o + 16. Let p be i(9). Suppose -d + 22 = 2*c - p, 3*d - 103 = 5*c. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 542 and 22.\nAnswer: 5962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -9? (a) 11 (b) 0 (c) -0.3 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*((-1 + sqrt(1539))*-3 + sqrt(1539) + (sqrt(1539) - -4*(-1 + sqrt(1539)))))**2 + 3*((2 + 1*sqrt(475) + sqrt(475))*1)**2.\nAnswer: -366*sqrt(19) + 130380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 144662374?\nAnswer: 2, 113, 640099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Subtract 5 from -1577.\nAnswer: -1582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m be 180 - (-4 + 36\/4). Factor 6*g + m*g**2 - 351*g**2 + 173*g**2 - 3*g**3.\nAnswer: -3*g*(g - 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does -1 = -12\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 359 minutes after 4:11 PM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i = -80 - -118. Let w = i - 42. Let y = -0.256 + -0.044. Which is the nearest to 1? (a) 4 (b) y (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = -10*x**2 + 1714*x - 689. Determine i(171).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 8 (b) -0.5 (c) 3\/4480 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*v**3 + 44*v + 2140 - 331 + 6715 - 44*v.\nAnswer: 2*v**3 + 8524","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/3 in -2, 0.028, 1.5, -9, -16?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -23 - 4*g - 36 - 35 + 94. Let j(m) = -31*m**2. Calculate j(c(z)).\nAnswer: -496*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d = -2*z + 2*d + 8, 4*z - 32 = 2*d. Let s be (-9 + z)*1*2. Suppose s*r + h + 1156 = 0, 4*h - h = 2*r + 1172. Round r to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -600*j + 27494 - 10787 = -7893 for j.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -3*w**4 + 14*w**3 - 35423*w**2 + 3383377?\nAnswer: -12*w**3 + 42*w**2 - 70846*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g be 8*23\/(115\/30). Solve 3*i = 57 - g for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.1*-0.2251052\nAnswer: -0.02251052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o - 8672 + 17928 = 0. Which is smaller: -2315 or o?\nAnswer: -2315","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2347 is divided by 339?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 20022212 + -221?\nAnswer: 20021221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m = -36 - -52. Let u = m + -49\/3. Let p = -0.0157 - 0.1843. Which is the closest to 4\/5? (a) 4 (b) p (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) be the second derivative of 0 + 0*v**3 - 1\/2*v**4 + 1\/20*v**5 + v - 7\/2*v**2. Determine f(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 8215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-2)\/(-3) - (-20)\/15. What is the units digit of (40\/(-8))\/(y\/(-4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 500*w + 196 = 304*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -30, -13, -18, -57, -142, -285?\n\"Answer: -2*l**3 + l**2 + 28*l - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 14239295 bigger than 14239258?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -9, 12, 67, 174, 351, 616, 987, 1482?\nAnswer: 2119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = -851 + 559. Let f = -328 - n. Which is the second biggest value? (a) f (b) -0.3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*v + v + 3*v - 5*v - 4*v - v + (3 + 1 - 2)*(-v - 3 + 3) - 2*v - 2*v + 5*v + 3 - v - 3.\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3)\/(144\/(-10))*108\/270.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ww when two letters picked without replacement from {x: 3, w: 13}?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) be the second derivative of 0 - 361\/60*p**4 + 8*p + 76\/15*p**3 - 8\/5*p**2. Solve d(l) = 0 for l.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 5 + -6 + (2 - (-4 - -4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 1212201112 (base 5) to base 12.\nAnswer: b55491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 8176310, 8176314, 8176318, 8176322?\nAnswer: 8176326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) -2 (b) 18 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = 4145*o - 1392724. Calculate l(336).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z be 1*(11 - 4)*1. Let l = 6 - 4. Is (z\/l)\/((-3)\/(-6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from uuunauunnnauuuaa. Give prob of sequence unan.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = w**2 - 5*w + 10. Let t be q(7). Let v = -4 + t. Is 10 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 + (0 - -2 - 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = 116*n - 1440. Calculate d(14).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x = -138 - -154. Is 21 a factor of 310 - 4*(-24)\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 110 and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = 12 + 9*p + 43*p**2 - 3*p - 36*p**2. Let k = -3 + 12. Is u(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00126293 to 6 decimal places.\nAnswer: -0.001263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = m**2 - 3*m. Let r(p) = 2*p**2 - 6*p. Let o(a) = -5*h(a) + 2*r(a). Let c be o(3). Suppose i + 6 = 3*i. Solve c*j = i*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 16 - 11. Is 4\/(-10) + 17\/u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -21 + 18. Let j be v*1 + -201 + -1. Round j to the nearest ten.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 140 and 224?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t - 2*d + 9358 = 0, -6*t + 9373 = -2*t - d. What are the prime factors of t?\nAnswer: 2, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3377, -2459, 29, 4873, 12859, 24773?\nAnswer: 41401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.04955604 + 4.\nAnswer: 4.04955604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 2252*u + 12 = 2248*u - 4*y, 0 = -11*u + 4*y - 18 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 61\/4 of a decade?\nAnswer: 1830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -8*j**2. Let m(f) = -2*f + f**2 + 5*f - 3*f. Give m(n(k)).\nAnswer: 64*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -55601 + 55601 - 250*j. Let o(h) = -2*h**2. Give v(o(q)).\nAnswer: 500*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.35 + -1.35. Let c = -31.3 + u. Let w = c - -33.00000082. What is w rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 156 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j and 3 o when four letters picked without replacement from {d: 2, o: 4, j: 2, g: 5}.\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -5 divided by -890?\nAnswer: 1\/178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = x**2 - 2*x + 2. What is j(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express -10*l - 7*l - 10*l + (3 - 1 - 1)*(-2*l - 3*l + 2*l) + 3*l - 2*l - 3*l - 57 - 10*l + 57 as f*l + a and give f.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x = 12 - 0. Suppose -4*v + x = -v. Suppose -2*o - 4 = -v*o. Solve 20 = 4*k - 5*y + o, 4*k - y = 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 162*a - 165*a + 15 = 0. Suppose 6783 = 2*y + a*u, -5*u = -y + 2*y - 3394. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:11 AM and 12:18 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 74 greater than 74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put 91\/4, 9, 10, -2\/5, -4 in ascending order.\nAnswer: -4, -2\/5, 9, 10, 91\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/53*7057162\/(-38044)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wlhs when four letters picked without replacement from howolwowshsssowwhso.\nAnswer: 25\/31008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h - 47 = 4*h. Let v = -58 + h. Let l be (11 + v)\/(1 - -1). Solve l = 4*o + 7 + 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = 43*k - 12. Let s be o(10). Let b = s + -282. Suppose -59 = -3*i + b. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 63469792913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/11, -4, 4, -2\/13 in decreasing order.\nAnswer: 4, -2\/13, -2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:04 AM and 8:44 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -2995, -2993, -2991, -2989, -2987, -2985?\n\"Answer: 2*f - 2997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 25029 is divided by 298?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 8, u: 5, d: 1, h: 2}. What is prob of sequence uu?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 37528685 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s = -6 + 8. Suppose -2*u = -3*i + 24, 4*i - 18 = -s*u + 14. What is the lowest common multiple of i and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1 (b) 2\/21 (c) 2\/29 (d) -0.3 (e) -67 (f) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 69.2 or -57?\nAnswer: 69.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -107969 - -8.\nAnswer: -107961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.0383 - 212.9617. Let g = q - -213.69. Round g to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5436950007 plus 0?\nAnswer: 0.5436950007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -184 + 0.30893189?\nAnswer: -183.69106811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 17521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 21783836 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p be -9*(-2 - (2 + 0)). What is the highest common factor of p and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -940 + 1336. Calculate the highest common divisor of 36 and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 339 = -8*z + 259 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from aaaaaaayaaaaaayyya.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = 1876*o. Let z(i) = -30*i. What is z(n(p))?\nAnswer: -56280*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m be (3 + 15)*(-2)\/(-6). Let z be (-105)\/5*(0 + -2). Calculate the highest common factor of m and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 104 and 548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -81*f*l**3 - 3*f*l**2 + 10177630*f + 20222*l**4 wrt l?\nAnswer: -486*f + 485328*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -2535 + 2551 + 1 + -26\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (14\/805)\/(29\/(-145))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of (-57)\/(-6) + (-1)\/(-2) and 3\/6*80\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 52 a factor of 2115720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -1113975, -2227952, -3341929, -4455906, -5569883?\n\"Answer: -1113977*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l be (12 + 663\/(-65))\/(6\/50). Solve 0 = -5*t + b + 25, -4*b = -51*t + 48*t + l for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -152242*p**2 + 52265*p?\nAnswer: -304484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -y**3 + 5*y**2 + 6*y - 9. Let p be j(6). What is the remainder when 4 is divided by p\/6 - (-18)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 + 9 + -5 + 0 + 5\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = n**2 - 6*n + 5. Let f be t(7). Let v = f - 8. Let l be (-2 - (-2 + -5)) + -1. Do l and v have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2*3.5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -42*o - 90. What is q(-1)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -931*287.\nAnswer: -267197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t = 84 + -37. What is the remainder when 74 is divided by t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xzz when three letters picked without replacement from {x: 3, z: 4, t: 2, s: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 952 and 680?\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 596 minutes after 11:31 AM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*u - 2*u + 182. Let t = 31 - u. Solve -4*v + 4 + 11 = h, 0 = h + t*v - 19 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 4 + -4.5. Let g = 9 + -17. Let o = -8.4 - g. What is the closest to u in 4, o, 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1617)\/(-121) + -13)\/(65\/143).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -48285, -97125, -146525, -196485?\nAnswer: -247005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (24 - 0) + 2 + 2?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -9*i**2*u**3 - 46*i**2*u + 13*i*u**3 - 2*i*u**2 - i - 36*u**2 wrt i?\nAnswer: -18*u**3 - 92*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1098*r - 799*r - 298*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = 3*d**2 - 4*d - 4. Let l(x) = -9*x**2 + 11*x + 11. Let b(i) = -i**2 - 42*i - 163. Let n be b(-38). Calculate n*q(j) - 4*l(j).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = i**3 - 7*i**2 + 3. Let s(y) = -y**2 - 8*y - 5. Let k be s(-6). Let q be c(k). Let f(a) = -a**2 + 3*a - 4. Calculate f(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 402 minutes before 4:38 AM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b be 2 - (28 + 1)\/((-4)\/524). Suppose b = -2*m - m. Let h = m - -11431\/9. Put h, -1\/3, -3 in increasing order.\nAnswer: -3, -1\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.5 - 58446219009.\nAnswer: -58446219009.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 131\/18 and 119\/160.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 29*l = -52*l - 567 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -3 minus 0.10013?\nAnswer: -3.10013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -7*n**4 + 231*n**3 + 31*n**2 + 6863*n + 7921 wrt n.\nAnswer: -84*n**2 + 1386*n + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2.7 - -2.87. Round d to 2 decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-5)\/10*-2*2. Solve 2*x + 12 = c for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -212130032 (base 5) to base 3\nAnswer: -1200111120221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is b (base 13) in base 12?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-21)\/(-4) + (-3)\/(-4). Let j(x) = 7*x**2 - f*x**2 - 4*x**2. Let d(l) = -2 + 2 - l. Determine j(d(p)).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d + d = -4. Suppose 16 = 3*b + v, -2*b + 28 = 5*v - 0. Suppose 5*r + 2 = -5*x + 3*r, b*x + 20 = 3*r. Sort x, 1, d in ascending order.\nAnswer: x, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 61.14 minus 1612746?\nAnswer: -1612684.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -406944*a + 19876*a**3 + 406944*a.\nAnswer: 19876*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = p**3 + 7*p**2 + 9*p + 8. Suppose 3*y = 4*t - 2, t + 37 = -3*y + 15. Determine v(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1394750183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 139 + 276 = 5*p. What are the prime factors of p?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1010133 to the power of 1\/3, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1575 + 1570. What is the closest to 1 in -3\/2, n, -0.05, -2\/3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -22 - -2 - 0 - (-34 + 1 + 29 + 11)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -17\/763 and -63\/10.\nAnswer: 7630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand 1 - 1 - 2*h + (-6 + 1 + 2)*(-h + 2 - 2) + 56*h + 38*h - 16*h + 3*h - h - 3*h.\nAnswer: 78*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -65 + 20*o + 65.\nAnswer: 20*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) be the third derivative of 1\/120*p**6 - 2*p**2 + 0 + 0*p + 1\/2*p**3 - 1\/12*p**5 + 0*p**4. Is f(5) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (0\/(1 + 0))\/((-22)\/(-11)). Suppose -9 - 10 = 2*n + r, -5*n + 5*r - 40 = a. Find the common denominator of 23\/12 and (-24)\/12 - 47*1\/n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = -181*z**2 - 138*z - 19. Let t(v) = v. Determine t(o(b)).\nAnswer: -181*b**2 - 138*b - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 4 + k**3)*(4*k - 116 + 116 + (-5 + 5 + 1)*(2*k - 2 + 2) + 6*k - 1 + 1).\nAnswer: 12*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*k + 3230 + 615. Is (k\/(-5))\/(29\/145) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -41\/40 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 84988*d**5*j**2 - 15*d**5 - 28*d**2*j**2 - 682*d**2*j - 5*j wrt d.\nAnswer: 5099280*d**2*j**2 - 900*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide -5 + 176\/40 + 226\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 73*o**2 - 3*o**3 + 71*o**2 + 68*o**2 - 212*o**2.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 e, 1 w, and 2 n when four letters picked without replacement from {e: 5, n: 4, w: 1, f: 9, m: 1}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 16319.\nAnswer: 16319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -10333452 (base 6) in base 5?\nAnswer: -34323401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n\/(n*n**25)*n)\/n**2)**(-2\/15) assuming n is positive.\nAnswer: n**(52\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 435369345 to the power of 1\/3, to the nearest integer?\nAnswer: 758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -5433*p = 4*v - 5435*p - 30, -3*p - 2253 = -374*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31 = -2*s + 35. Suppose s*i = 5*i - 93. Find l such that -2*l**5 - l**5 + 3*l**4 + i - 31 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) be the second derivative of n**4 + 4*n. Let a(t) = 4*t**2 + 5*t**2 + 4*t**2 - 14*t**2. Give q(a(h)).\nAnswer: 12*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express (-106 + 106 + 112*o)*(1 + 4*o - 1)*(3*o - 3*o + 2*o**2) in the form c*o**3 + l*o + z*o**2 + v + y*o**4 and give y.\nAnswer: 896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 56 (b) 0.9 (c) -2\/3 (d) -3 (e) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 31732.\nAnswer: 2, 7933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*k - 4*k - k)*(0 + 0 + 2)*(k**2 - k**2 + k**3) to the form s*k + a*k**4 + d*k**2 + t + l*k**3 and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*a - 5*a - 4*a**2)*(-2 + 3*a**2 + 2).\nAnswer: -12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -91\/216 and (-2 - -88*7\/49)\/27.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = z**2 + 5*z + 3. Let g be l(-4). Let p be 12\/(3 - 0) + g. Let i = p - -1. Is i even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 505 minutes before 12:59 PM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -1574, -3117, -4602, -6029?\n\"Answer: 29*k**2 - 1630*k + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 357 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*r = -4*d - r + 7, -3*r - 9 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = -17*n + 4. Suppose 5*b + 27 = 3*q - 7*q, -3*q - 12 = b. Determine w(q).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) be the third derivative of 13*q**6\/40 + q**5 - 44*q**3\/3 - 21*q**2. Let g(r) be the first derivative of y(r). Find the second derivative of g(c) wrt c.\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 6 + 1ac?\nAnswer: 1b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 1138483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 1.4 times -29586\nAnswer: -41420.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = -5*x + 2, 4*n = 4*x. Suppose 0 = -n*o + 3 - 13, 4*t - 4*o = 352. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -865*c + 1774. Determine h(2).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -11528*9.83.\nAnswer: -113320.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/4? (a) -1\/3 (b) -4 (c) 258 (d) 5 (e) -55 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -5985*t**2 - 220630*t.\nAnswer: -11970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 32827 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w = w. Suppose 2*u = -w*u - 12. Let x = u + 7. Let m(c) = -c**3 + 2*c**2 - c + 1. Calculate m(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k = 2*s - 50, 2*k = 6*k + 3*s - 55. Let q = k + -8. Let j(a) = -3*a + 4*a**q + 3*a + 2*a**2. Let l(c) = c**2. Calculate j(l(u)).\nAnswer: 6*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l be (3 - 1)*933603\/110. Let g = -17038 + l. Let i = g + 63. Sort -0.3, 0.3, i in increasing order.\nAnswer: i, -0.3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -21 and -32.3274.\nAnswer: 678.8754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -3\/8, -5, -1\/5, 3\/7, 53?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 5886 and 21222954?\nAnswer: 1962","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 327*f*s**4 - 7*f*s**3 + 2*f*s - 10*f - 2*s**3 + 24*s**2 wrt s.\nAnswer: 7848*f*s - 42*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 0.2 * -0.45\nAnswer: -0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = 53*r + 4. Let o be s(-2). Let x = 173 + o. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 440747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-195)\/273)\/((-10)\/8)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 226060?\nAnswer: 2, 5, 89, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = 5*f**2 - 15 - 2 + 7*f + 8. What are the prime factors of g(4)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 10 - 10.8. Let h = -19 + 18.1. Let b = h - r. Put -4, -2, b in increasing order.\nAnswer: -4, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-5)\/10)\/((-3)\/2544) + -2. Let q = -57 + h. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 11547 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h + 4*r = -356, -3*h = 5*r - 241 - 10. Does 29 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1756877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = 4*i**3 + 2*i**2 - 2*i + 2. Let s be ((-32)\/(-8) - 2) + -13*2. Let a = s + 42. Let z(c) = 17*c**3 + 9*c**2 - 9*c + 9. What is a*g(r) - 4*z(r)?\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 12\/(-52)*(-34450)\/(-7950)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 5*z - 19 = 0, z = 441*o - 436*o - 95. Suppose 2*y + 3*y - 3*b - 19 = 0, -3*y + 5*b = -21. Solve -y*r + 19 = -3*f, f + f = -5*r + o for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 38259058 a multiple of 1418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m be 1 - (3 - 1) - 2. Let u(r) be the second derivative of 4*r**4 + 5*r**3\/6 + r**2 + 3*r. Is u(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 5*q + q + 11*q as o*q + v and give o.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*j - 5*j = 70. Calculate the remainder when j is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 + (-6*130\/375 - (-2)\/1)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Product of 4 and 38.\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 80953031 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is three tenths of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -3333*r + 3317*r - 64 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 249 minutes after 2:13 AM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-1\/2)\/(o**(-1\/8)*o))**(-32)\/((o**(-1)*o**(-4))\/(o\/o**(-5)*o*o**(-3\/5))) assuming o is positive.\nAnswer: o**(277\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} {"text":"Question: What is the square root of 865072 to the nearest integer?\nAnswer: 930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 6.175 rounded to 1 decimal place?\nAnswer: 6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 1, t: 1, d: 2}. Give prob of sequence de.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2704\/15 - 1144\/15*a - 2\/15*a**4 - 484\/5*a**2 - 106\/15*a**3 = 0. Calculate a.\nAnswer: -26, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: (-2)\/((4\/112)\/((-318)\/(-13992)))\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -23078 = -1784*r + 10818 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.04 from 68246.057694103.\nAnswer: 68246.097694103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = -2*v**2 - 43*v + 101. What is the remainder when 254 is divided by q(-23)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 487, 527, 567?\n\"Answer: 40*v + 447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -12 - -53537167?\nAnswer: 53537155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 = -3*k + 1, -2*v + 1104 = 2*k. Suppose 0 = 3*q + 173 - v. Round q to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a = -4052 + 779. Suppose 4*z = a + 449. Suppose 6*q = q + z. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.03167 + 234.99?\nAnswer: 234.95833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x be 23\/8 + 7\/56. Let h = -92 - -268\/3. Let o = x + h. Sort 0.1, -1\/6, o in descending order.\nAnswer: o, 0.1, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*m = -31*w + 2*m + 87, 4*m - 17 = -8*w + 12*w + 3*m for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -9 or 826?\nAnswer: 826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 734347444 to the nearest integer?\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:54 PM and 8:22 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*n - 7*n = -162. Solve 0 = -6*x + 15 + n for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:03 PM and 2:31 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 67421008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 1, 4.6, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 326, 2340, 7810, 18464, 36030, 62236, 98810?\nAnswer: 147480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 39962 divided by -29.\nAnswer: -1378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = b**3 + 13*b**2 + 9*b + 1. Calculate x(-12).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 3, g: 15}. What is prob of picking 3 g?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*sqrt(78)\/(sqrt(18)\/sqrt(3)) + -4 + (sqrt(13) - (-5*sqrt(130))\/sqrt(10)).\nAnswer: -4 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-12)\/(-576)*78)\/(-8*(-12)\/256).\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = -106 + 28. Let n = y + 45. Let d = n + 33. What is the closest to 0 in 5, d, -0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -36.58 + -1.56558.\nAnswer: -38.14558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o = -20312 - -20313. Which is the nearest to -3? (a) 147 (b) o (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) be the second derivative of -s**5\/20 - 173*s**4\/4 + 31*s**3 + 121*s - 6. What is the second derivative of f(y) wrt y?\nAnswer: -6*y - 1038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 117*c**2 + 133*c**2 - 246*c**2.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in 626, 1260, 1906, 2564?\nAnswer: 3234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c be (2 + (68\/(-3) - -2))*162. Let p = c - -6451. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 0.538581 grams?\nAnswer: 0.000538581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*a + 3*w + 60 - 103, 0 = -w - 4 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*p**2 - 6*p**2 - p**2)*(-2 + 8 + 2)*(-3 + 3 + p)*(-1 - 1 + 4).\nAnswer: -64*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o = -24 + 27. Let f be (-15)\/(o\/(-48)*-4). Let c = -40 - f. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2.9 - 2. Let b = -3.9 + v. Let n = 2237\/7 - 319. What is the second smallest value in b, -1\/4, n?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 17515, 35064, 52613, 70162, 87711?\n\"Answer: 17549*c - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 83\/60 and (-5 - (-10818)\/2295) + 0.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*u - 2 = 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Determine d, given that -4*d**3 + 260*d**2 - 752*d + 496 = 0.\nAnswer: 1, 2, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is d in -3*d**2\/4 + 16857*d\/2 - 94419915\/4 = 0?\nAnswer: 5303, 5935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 13, v: 3, r: 1, k: 3}. Give prob of sequence dr.\nAnswer: 13\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4528 - 1774*p - 4528.\nAnswer: -1774*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 34 and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = -2*n**3 - 5*n**2 - 5*n - 4. Let x(f) = -f**3 - 4*f**2 - 4*f - 3. Let b(h) = -4*l(h) + 5*x(h). What is the units digit of b(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25 = -11*r + 228. Let f(t) = -6*t + 57. Let y(o) = o + 1. Let z(h) = -f(h) - 3*y(h). Let s be z(r). Solve 2*i - s = -v, v = 5*i + 5*v - 27 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1851)\/(-1234)*100\/6?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2658?\nAnswer: 2, 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Work out -3 * 10.3.\nAnswer: -30.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m + 3 = 0, -3*f - m + 21 = -4. Solve 6*h + 4 = -f for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 37481159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*q - 18 = -515*z + 513*z, -4*z = 2*q - 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 93.25564 litres?\nAnswer: 93255.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -15 = -2*x - i, -6*x + 10*x + 5 = 5*i for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 181.0475 centuries?\nAnswer: 18104.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x + 102 = 20*x. Let s(j) = 31*j**2 - 460*j + 17. Let c(b) = -11*b**2 + 153*b - 6. Let i(u) = x*s(u) + 17*c(u). Let y(v) = -v**2. Calculate y(i(a)).\nAnswer: -a**4 - 318*a**3 - 25281*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 75883.93cm in micrometers?\nAnswer: 758839300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in 0.074, -2\/9, -0.02?\nAnswer: 0.074","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 609889.\nAnswer: 7, 151, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 996901?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = 80*y - 20. What is the remainder when j(2) is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 9\/(-12) + 603\/780. Which is smaller: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 z when four letters picked without replacement from evheeezezezzezz?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 13844?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) be the first derivative of 68*i**3\/9 + 146*i**2\/3 + 80*i\/3 - 1780. Factor m(d).\nAnswer: 4*(d + 4)*(17*d + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-102 - -105) + 9 + -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -16*h + 62*h + 38*h + 19*h to f*h + r and give f.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 895023 is divided by 907.\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 3234 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*j - 5*j + 3*j + (3*j - 2*j - 3*j)*(4 - 1 - 2) - 54*j - 1 + 10*j + 23*j.\nAnswer: -22*j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4468?\nAnswer: 2, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -652, -2604, -5886, -10522, -16536, -23952, -32794?\nAnswer: -43086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2300*y**3 - 904*y**2 + y - 5417608 wrt y.\nAnswer: 6900*y**2 - 1808*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -221, -374, -457, -470?\n\"Answer: 35*b**2 - 258*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -4*f - 15. Let a(y) = 3*y + 14. Let w(c) = -5*a(c) - 4*d(c). Let r be w(9). List the prime factors of (-1 - -3)*(9 - r).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 4 + 5)*(2*m + 1 - 1) - 1 + 1 + 2*m + (-2*m - m + 4*m + m - m + 2*m + (4*m + 2*m - 4*m)*(-3 + 0 + 5))*(-18 + 39 - 12).\nAnswer: 69*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-1643)\/(-2 + 1 + 0). What is the highest common factor of x and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -27847 - 6*j + 2*j + 27847.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = 7. Let a(s) = 4. Let b(q) = 5*a(q) - 3*j(q). Let o(n) = -3*n + n**2 + 2*n - 3 + 0 - 1. Calculate -4*b(v) + o(v).\nAnswer: v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 19 and 3211.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-4)\/(-10) - (-800703)\/330. Let s = m + -2426. Calculate the common denominator of ((-216)\/128)\/(-3) - 10\/2 and s.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 58456 - 37691. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 1.37*5.67\nAnswer: 7.7679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r = -83 + 80. Let y be (2 - 0)*(-3)\/(-1). Let f be 26\/y + 1\/r. Solve -2 = -d, k + f*k - d + 7 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*z - 8 - 28. Let b = -6 - z. What is the units digit of 3 + b\/(-6)*0?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 28321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 58 divide 302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 28, 14, -10, -44, -88, -142?\nAnswer: -206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 446960803 is divided by 2148850?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l = -94.64 + 71.9. Let r = l + 23. What is r rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 688510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 27*s**2 - 27*s**3 + 109*s + 113*s - 222*s wrt s.\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1022977 divided by -6.\nAnswer: -1022977\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 4 (b) -2\/23 (c) 0.2 (d) 950\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + -2*-2*(sqrt(272) - ((sqrt(272)*-1 - sqrt(272)) + sqrt(272)))**2)*5.\nAnswer: 21785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -87 = r - 102. What is the lowest common multiple of r and 35?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 4.38 and -3.8.\nAnswer: -16.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*f - 3*d + 16, 4*f + 4079*d = 4084*d - 39 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.238105 micrograms in grams?\nAnswer: 0.000000238105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 4b0681 (base 12) to base 16.\nAnswer: 12aec1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:41 PM and 4:20 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 9621531 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t = -15318 - -15307. Let k(r) = 36*r + 386. Determine k(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1103547664 to the nearest integer?\nAnswer: 33220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*sqrt(152)\/sqrt(8) - sqrt(57)\/sqrt(3)*-5) + -5.\nAnswer: -5 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is u in -2*u**3 - 622*u**2 + 25288*u - 161472 = 0?\nAnswer: -348, 8, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) be the first derivative of 61*n**3\/6 + 126*n - 17. Let u(c) be the first derivative of r(c). Let i(b) = -b. What is i(u(d))?\nAnswer: -61*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 25547, 25524, 25501?\n\"Answer: -23*m + 25570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = 156 + -72. What are the prime factors of g?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 2580, 5158, 7736, 10314, 12892, 15470?\n\"Answer: 2578*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1638043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 18127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -491816255*d**2 + 491816255*d**2 - 1004*d**3.\nAnswer: -1004*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express (-7*q + 6*q + 12*q + (-1 + 0 + 0)*(q + 0*q - 3*q) - 75*q - 74*q + 16*q)*(-5 + 5 + q) as t + m*q**2 + j*q and give m.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = 2*q**2 + 20*q + 39. Give h(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 100178413 less than 100178412?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v = 10 - 19. What is the common denominator of 6\/8 - 6\/(-3) and (-1660)\/(-72) - (-2)\/v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 5 - -29. Let q = d - 30. Is (-1 + q + -4)*-11 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = 22*x - 5. Is i(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 23837959?\nAnswer: 23, 359, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is (11\/(-154))\/(-3 + 19\/7)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q\/(q*(q**0\/q)\/q)*q**(1\/6)\/q*q)**(2\/5)\/((q**(-1\/4))**(-4\/7)\/((q**(-6)\/q)\/q**6)) assuming q is positive.\nAnswer: q**(-1289\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -62*n**2 + 227*n**2 + 167*n**2 + 8*n**2 to the form h + z*n**2 + d*n and give z.\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*x = -21*x + 5*k - 91, 3*x - 2*k = 256. Does 5 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m - 4 = -u, 0 = m - 2*u - 0 + 5. Let a be 7\/((-2360)\/296 - -8). Let s = 3373\/13 - a. Is s > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 13, -303, 2, -1, -8, -25 in descending order.\nAnswer: 13, 2, -1, -8, -25, -303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 182*n = 1001*n - 33579 for n.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 18058*u**2 - 43443*u**2 + 25349*u**2 + 2*u.\nAnswer: -36*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1.355 + 1453.645. Let b = -1440.18 + g. What is b rounded to one decimal place?\nAnswer: 14.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 420 - 402 = 6*l. Suppose -l*p + k = -1384, -891 = -2*p + k + 30. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (12*u**2 + 3 - 11*u**2 - 1)*(-24 + 22 + u - 6*u).\nAnswer: -5*u**3 - 2*u**2 - 10*u - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 31\/1378 and -32\/5.\nAnswer: 6890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 104971161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -3\/10 (b) 3\/11 (c) 1 (d) 0.1 (e) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y - 132 + 90 = 0. Suppose y*q - r - 2425 = 9*q, 2*q + 4*r - 970 = 0. What are the prime factors of q?\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = 1363*s**3 - 4*s**2 + 12*s - 9. What is the remainder when p(1) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 112 in -5\/3, -2, 38, -0.4?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 0.4 and -109065?\nAnswer: 109065.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*a + 7 = -5*x, -193*x = -3*a - 190*x for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = -3*u**2 + u - 1. Let q(f) = 15*f**2 - 4*f + 4. Let g(p) = -4*m(p) - q(p). Let i(s) = 218*s. Determine i(g(d)).\nAnswer: -654*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*m + 3*y - 5 - 2, -2*y = 2*m - 4. Let c = -8717177\/17 + 513023. Let q = 248 - c. Which is greater: m or q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 882\/(-66)*13640\/1860?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 5 - 3*d)*(4*d + 7*d + 13*d).\nAnswer: -72*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1612734441?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 120911, 241752, 362581, 483392, 604179?\n\"Answer: -m**3 + 120848*m + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -2 - 93?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 93582 and 11610?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0*(2\/(-12))\/(2\/4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = -23 + 40. Let r = 47 + -43. Suppose -r*n + 115 + 25 = 4*d, -d = -3*n + 85. What is the remainder when n is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + 0 - (-5 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 178186 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b be (42\/36 - 1)*(10 + 2). Suppose 20*m - 19*m = 3*s, 0 = -b*m - s + 35. Solve 5 - m = 2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.14465355 to three dps.\nAnswer: -0.145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 616 minutes after 12:43 AM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from bydckzd. What is prob of picking 1 z, 1 d, and 1 k?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a = -6 - -3. Let x be a\/((45\/12)\/1). What is the third smallest value in 5\/3, x, 0.3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 divided by 405138.\nAnswer: -1\/202569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 386127 and 248913?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 6, -25, -82, -177, -322, -529?\n\"Answer: -2*y**3 - y**2 - 14*y + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 44, 47, 60, 89, 140, 219?\n\"Answer: i**3 - i**2 - i + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 536089 divided by -6.\nAnswer: -536089\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1 - -1. Let g = 0.4 - 0.38. Let w = -0.28 - g. Which is the closest to 1? (a) w (b) p (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-12)\/(-10)*(-30)\/12 - -2355. Suppose -6510 = -7*c - h. Is c a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be -3 + (4\/10 - (-1346)\/10). Let p(h) = 12*h**2. Let t be ((-4)\/(-6))\/((-6)\/9). Let k be p(t). What is the greatest common factor of w and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3? (a) -139 (b) 5 (c) -7 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 891 divided by 27.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x = -27 + 29. Suppose 1 = -4*u + v + 13, -28 = -x*u - 5*v. Let n = -0.1 + 1.1. Which is the second biggest value? (a) u (b) 1\/9 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 15*y - 1833 - 3222. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -312*j + 8439. Determine b(27).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*m + 0 + 0)*(-124*m**4 - 7092*m + 7092*m).\nAnswer: -248*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {q: 1, y: 4, a: 4, j: 2}. Give prob of picking 1 j and 3 a.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 31\/6924 and 86\/12117.\nAnswer: 48468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 + 6 = 4*d - 2*q, 0 = d - 5*q + 16. Suppose -7 = -o - 1. Let b = 10 - o. Solve 3*l + 3 = -b*c + d*l, 3 = 2*c - 5*l for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -10094, -10053, -10012?\n\"Answer: 41*x - 10135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = -10*r. Let k(i) = 378918*i**2. What is u(k(v))?\nAnswer: -3789180*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 140599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b = 7.19 - 7.2. Let p = -1 - -1.1. Let x = p - 0.2. Is x at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -44 - -69. Let p = -10068 + 10161. What is the remainder when p is divided by h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18 = 3*s - 9. Let j(p) = p**3 + 4*p**2 + 2*p - 1. Give j(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -0.14, 1\/4, -2\/7 in decreasing order.\nAnswer: 1\/4, -0.14, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g*g**(2\/9)*g*g*g**(3\/10))\/(g**(-1\/3)*g*g)**(-9)*(g**1*g*g\/g**(-1)*g)\/(g**(5\/3)\/((g\/(g\/(g*g\/g**(2\/7)))*g)\/g)) assuming g is positive.\nAnswer: g**(14849\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 107\/288 and 55\/432.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 31818 is divided by 45?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000619 rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 77\/918 and 79\/36210.\nAnswer: 325890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(128)*-1 + 3.\nAnswer: -8*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 - (-3 - (-5 + 8 + -3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r*r\/r**(-4)*r**(1\/4))\/(r**1)**(13\/3))**(-9\/8) assuming r is positive.\nAnswer: r**(-69\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 f and 1 s when three letters picked without replacement from {f: 3, s: 17}.\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 11*f + 26 - 48. Solve 7*t + f*t = -18 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -1223*f - 185. Let o be n(-7). Suppose 15*s - 3099 - o = 0. List the prime factors of s.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -2238 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00008276 rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -14*l**3 + 11*l**3 + l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d be (3*-2)\/(-2 - -3). Let x = d + 19. Solve -2*r = -3*r - 2*j - x, 5 = -j for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d = -5*x + 90, 45*x + 42 = 47*x + 4*d. Solve 5*b + 2*m - 10 = x, m - 20 = -5*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (6\/4 + 0)\/3. Let u = 185 - 2037\/11. Let m = -5 - -2. Which is the nearest to v? (a) -1 (b) m (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 2 + (0 + -3 - 138\/(-42)). Let k = -53\/14 + j. Which is the biggest value? (a) k (b) 9\/11 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -a - 3 - 13. Let o be 2 - 0*(-2 - (-1)\/1). Let q be 0\/((-1 + o)*-2). Sort a, -1, q.\nAnswer: a, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 815 and 403.\nAnswer: 328445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 3, u: 1, e: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort 8, -199, 258, -5, -2, 5 in increasing order.\nAnswer: -199, -5, -2, 5, 8, 258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*p + 3*p - 20. Suppose g - 425 = -p*g. What is the remainder when g is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) be the first derivative of n**4\/12 + 7*n**3\/6 + 7*n**2\/2 - 77*n + 109. Let z(b) be the first derivative of h(b). Determine z(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 55687603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = -c**3 + c**2 + 8*c - 25. Determine n(5).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 80138*d = 80163*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (20\/(-3120))\/((-3)\/(-8)*1*130\/(-195)).\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 44*f + 8 = 40*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10149 + 248567*h**3 - 10149.\nAnswer: 248567*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*d**3 + 10*d**3 + 7*d**3)*(-7*d**2 - 6*d**2 - 1 + 2*d**2).\nAnswer: -154*d**5 - 14*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = 4*u**2. Let k(n) = n**2 + 3*n + 3. Let j(p) = 4*p**2 + 8*p + 8. Let w(d) = 3*j(d) - 8*k(d). Calculate w(i(c)).\nAnswer: 64*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = d**2 + 9*d + 21. Calculate h(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4399, -4396, -4383, -4354, -4303?\nAnswer: -4224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 42\/(-12)*200\/70\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2639422?\nAnswer: 2, 1319711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-82)\/(-26) - 3 - (-60)\/(-52). Which is smaller: r or -8\/163?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) be the third derivative of 1\/12*m**5 + 0 + 124*m**2 + 0*m + 1\/6*m**3 + 1\/6*m**4. Calculate l(-3).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = s**2 + 3*s - 9. What is the tens digit of a(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 87 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11522 is divided by 959.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -1\/5, 8, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4 - 0 - (-13 - -13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28*n + 44*n + 24*n - 5262624 = 0. Does 169 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = 39*a**2. Let h(f) = 6*f**2. Give h(u(i)).\nAnswer: 9126*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + -3 + sqrt(19) - -3*sqrt(2736)) + (-1*(sqrt(190) + (sqrt(190) - 1*sqrt(190))) - sqrt(190))\/(sqrt(1440) + 2*sqrt(1440)).\nAnswer: 2 + 665*sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g be (5\/((-15)\/(-12)))\/2. Suppose 0 = -u + g. Let z be u\/9 - (-16199988)\/54. What is z rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be -3 + 48 + -5 + -1. Let h = 147 - 82. What is the highest common factor of h and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1003\/2006 + (17\/2)\/((-2)\/26). Sort -6, 1, i, 2, 5 in ascending order.\nAnswer: i, -6, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 249 a factor of 1972827?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 130480249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is (-648)\/(-2187)*(-36)\/120?\nAnswer: -4\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(-34)\/p**41)\/(p*p**(-8\/7))**(5\/6) assuming p is positive.\nAnswer: p**(-3145\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 56308616*p**2 + 313*p + 49456?\nAnswer: 112617232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 182 a factor of 30212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) be the third derivative of -4\/15*y**5 + 0 - 1\/2*y**4 + 12*y**3 - 11*y**2 - 3*y + 1\/30*y**6. Determine a, given that i(a) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = n**2 - 23*n + 41. Let t be u(23). Calculate the highest common divisor of t and 205.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 2\/6 - (-14536)\/3864 and -157\/204?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1018501 is divided by 10927?\nAnswer: 2290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -9 + 1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in 1\/2, -3\/32, -0.4?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -420 = 39*y + 3*y for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -20566 rounded to the nearest one thousand?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g\/g**(-2\/45))\/g**(-4))**(-2\/5) assuming g is positive.\nAnswer: g**(-454\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u*u*u*(u\/((u\/(u**(2\/7)*u))\/u))\/u)\/u**(2\/5)*u*u*u*u**(-4\/3)*u*u**(-3\/5)\/u*((u\/u**(-5))\/u**(-4))**(-2\/97) assuming u is positive.\nAnswer: u**(9668\/2037)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = h**3 + h**2 - h - 4. Let a be x(0). Let u be (2 + 8\/(-1))*1\/a. Factor 3\/4*s**4 - 3\/2*s**3 - 3\/4 + 0*s**2 + u*s.\nAnswer: 3*(s - 1)**3*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -51*q + 50*q + q**2 + 3 + 5*q**2 + (4 - 4 + q**2)*(-1 + 0 + 3) + q**2 + 0 + 0.\nAnswer: 9*q**2 - q + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f = -5983\/3 - -71797\/36. Which is the nearest to 3\/4? (a) f (b) 0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = 5*u. Let p(r) = -3*r**2 + 277*r + 4. Determine p(b(j)).\nAnswer: -75*j**2 + 1385*j + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 3444 (base 5) in base 12?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -10*z - 24. Let d(n) = -2*n - 5. Let l(i) = -22*d(i) + 4*y(i). Let x(u) = 3*u + 13. Let j(v) = -4*l(v) + 5*x(v). What are the prime factors of j(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = 5*h**2. Let u = 112 + -109. Let b(z) be the third derivative of 0*z + 0*z**4 + 1\/60*z**5 - u*z**2 + 0 + 0*z**3. Calculate a(b(g)).\nAnswer: 5*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = 25.93 - 25.94. Are 2.56 and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 4, 0 in increasing order.\nAnswer: -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t = -5*q + 2045, 0 = 54*q - 57*q - t + 1223. What is the remainder when q is divided by 189?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -186 + 190. Let h(m) be the first derivative of -2\/3*m - 7\/6*m**2 - 5\/12*m**f - m**3 - 2 - 1\/15*m**5. Factor h(r).\nAnswer: -(r + 1)**3*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 2\/2758952101?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 27 minutes before 7:16 AM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j be (14\/6)\/(2\/6). Suppose p = 4, p - 68 = -3*i - j. Calculate the remainder when 341 is divided by i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 439, 1898, 4383, 7894, 12431, 17994, 24583?\nAnswer: 32198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 3\/4 (b) -4\/7 (c) -86 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 9 minutes before 1:03 AM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 9\/2 at most 1125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -r + 3 + 17. Suppose -5*g - 25 = y - 6*y, -5*y + 4*g = -r. Let o = 74 - 70. Solve y*b = -o*b + 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 2 - -4430?\nAnswer: 4432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = -4*m**3 + 4513*m**2 - 1700*m + 645210. Calculate u(1128).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 32*t = -s - 253, -92*t + 85*t - 53 = s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-3)\/(8 + (-31260)\/3912). Is -325 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -38740 - -38739.7. What is the smallest value in b, 3.3, 33?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = -l**3 + 12*l**2 + l - 9. What is the smallest common multiple of (-19 - -5)\/((-6)\/12) and g(12)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) be the second derivative of -q**3\/6 + 5*q**2 + 2*q. What is the units digit of o(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = 37*j - 238. What is v(6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f + s - 8 = 2*f, 16 = 2*f + 3*s. Let t be -2 + 5\/f + 0 - 1. Which is the closest to 1? (a) -2 (b) t (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.1 - 67412419\nAnswer: -67412418.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f = -184131 - -276250. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = t**3 - 42*t**2 - 138*t + 105. What is p(45)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 315 minutes after 4:53 AM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -10*u. Let z(a) = 5*a**2 + 3*a - 3. Let q(h) = 3*h**2 + 2*h - 2. Let c be 6 + 2*-1 + 1 + -7. Let t(g) = c*z(g) + 3*q(g). Give x(t(r)).\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*l = 2*l + 5*d + 225, 0 = 3*l + 4*d + 348. What are the prime factors of (-5310)\/l*(-40)\/(-6)?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-4)\/((-81)\/216 - 20895\/(-55848))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {b: 11, a: 2}. What is prob of picking 1 a and 3 b?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round -1011028500 to the nearest one hundred thousand.\nAnswer: -1011000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {j: 1, e: 8, z: 4}. Give prob of sequence zjje.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b = 232 + -2559\/11. Let w = b + -43\/88. Let u = -6947 - -69499\/10. Calculate the common denominator of u and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*sqrt(588)\/(sqrt(144)\/(2*sqrt(12))))\/((6*sqrt(84)\/sqrt(3))\/(2*sqrt(144))).\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert -14540 (base 7) to base 16.\nAnswer: -fce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1.11 - 1. Let g be (-1)\/(5*(1 + 0)). Which is the second smallest value? (a) g (b) v (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 7519.843 millennia to years.\nAnswer: 7519843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 19, 37, 55, 73?\n\"Answer: 18*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 49 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1559 is divided by 497.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) be the second derivative of g**3\/6 + 23*g**2 - 18*g. Let o be j(-22). Factor -b**2 + o*b**2 + 6 - 14*b - 2*b**2 - 13*b.\nAnswer: 3*(b - 1)*(7*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 576 and 2031056.\nAnswer: 73118016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = 3*i + 2*i - 4*i. Let n(w) = -w**2. Let c(y) = 4*y**2 - 2. Let j(u) = c(u) + 3*n(u). Let v(r) = 2*r**2 - 3. Let g(f) = 6*j(f) - 4*v(f). Give l(g(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -19009*k**3 + 2*k**2 - 88*k - 15?\nAnswer: -114054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*k**3 - 3138*k**2 - 3096*k + 62720 = 0 for k.\nAnswer: -1568, -5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/(-8)*(-116)\/(-87).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -44*s = -39*s - 90. Suppose -135 = -17*a + s. What is the greatest common factor of 9 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 11 - -5. Suppose -17*z + 9*z + 16 = 0. What is the least common multiple of (-2 + 0)\/z - (-10)\/2 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4\/(-24)*4*-34*20\/(440\/33).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -1000 (base 3) in base 12?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 65338.24166 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-108)\/180*(-260)\/4. Which is smaller: x or -9\/4?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2335765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -372*z + 371*z + 4*d - 18 = 0, 3*z = -4*d + 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -4*z - 3*f, 0*f + f = -z. Suppose 0 = 2*a - z*k - 32, 4*a = 7*a - k - 62. Calculate the remainder when 172 is divided by a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = 5*m**2 + 2*m - 2. Let r be t(1). Solve r*d = 6 - 21 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h + 33 - 13 = 0. Let d = -218 - -266. What is the greatest common divisor of d and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5 - (-140 - -52)*15\/24?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -11000 (base 2) to base 3\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-6)\/(-21) + (283428\/63)\/4. What is y rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21*n = 151 + 38. What are the prime factors of 1 - (n - (-10210)\/(-5))?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -12948 divided by -249?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = 7*v + 638. What is the tens digit of p(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 1147801*a**2 + 43*a + 1187 wrt a?\nAnswer: 2295602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r be 8*(-1)\/(8\/(-6)). Suppose 11 - 101 = -r*g. Calculate the greatest common factor of g and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/20855 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -2\/33, 7, 3, -9 in increasing order.\nAnswer: -9, -2\/33, 2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q - 3*v - 144 + 41 = 0, 78 = 4*q + 2*v. Let g be 4\/(-10) + 208\/q. Solve 2*o - 4*a + 2 = -3*a, -o + g = 5*a for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (6*u + 0*u - 3*u)*(-2*u + 1 - 69 - 90) in the form z*u + t + a*u**2 and give z.\nAnswer: -474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = 4*s. Let c(b) be the third derivative of 0*b**4 + 0 + 0*b**3 + b**2 + 1\/60*b**5 + 0*b. Determine c(q(j)).\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o be 5*(-24)\/18*-3. Solve -5*p - 5 = -o for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -496 - -877. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 90*f + 1163 - 260 = 3 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -1675*k**3 + 2124?\nAnswer: -5025*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -14*f - 19*f + 31*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = b - 21. Let o be u(17). Let s(r) = -r**2 - 4*r - 2. Suppose 5*m + 24 = 9. Let v be s(m). Put 3, o, v in ascending order.\nAnswer: o, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 66 = 3*c, -3*o = -2*c - 0*o - 51. Is (-3090)\/c - 1 - (-9)\/(-63) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -43*v + 46*v = 2391. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1991.9 and 18?\nAnswer: 35854.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i - 5*t = -14562, 2*t + 10835 = 2*i - 3699. Suppose 0 = -18*o + 1675 + i. What are the prime factors of o?\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 880 - 879. Suppose -5*s + b + 11 = -2*g, 3*s + 4*g = 28. Solve -5*n - y - 1 = -s*n, -y = -n + 7 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2321, 4630, 6927, 9212, 11485, 13746?\nAnswer: 15995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = -121.1 - -121. Let s = 0.2 + -0.5. What is the third smallest value in s, 2\/11, r?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a - 4 + 32 = 0. Let z = 14 - a. Suppose 10 = 3*p + 4*r, r + 0 = 4*p - 7. Solve -1 = -p*f + z for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 46\/21*j - 44\/21 - 2\/21*j**2.\nAnswer: -2*(j - 22)*(j - 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3\/4 in -2\/3, -3, -29\/20, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 3 + (-9 - (-2 - (4 + -5)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -h**2\/3 + 5518*h - 16551.\nAnswer: -(h - 16551)*(h - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a = -2 + 1.5. Let j = 0.5 - a. What is the biggest value in 5, j, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -851 = -20*m - 17*m. Calculate the remainder when 98 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 30 * 0.068\nAnswer: 2.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 168903 and 882?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) be the first derivative of y**5\/10 + 7*y**2\/2 + 8*y + 2. Let l(v) be the first derivative of z(v). Differentiate l(n) with respect to n.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*v - 3*v = 2*v + 5115. Calculate the lowest common multiple of 465 and v.\nAnswer: 5115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 671158 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 29745 is divided by 705.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -100 (base 3) in base 16?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3815*o*s**5 + 2*o*s**4 + 6357*o*s**2 wrt s?\nAnswer: -228900*o*s**2 + 48*o*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a - 34 - 2 = 0. Suppose -3*l = -5*d + 16 - 2, 3*d - a = 2*l. Let n be l*4\/12 + 0. Sort 5, n, 2 in ascending order.\nAnswer: n, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1395 is divided by 231?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 0.0036445 kilograms?\nAnswer: 3.6445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 264230 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h = 67093 - 32838. Suppose -23*x = 8*x - h. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 0\/(-3 + (-2)\/(-1)) + 8. What is the second derivative of -52*b**2 + 103*b + 3032 - c*b - 3032 wrt b?\nAnswer: -104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.18? (a) 0.3 (b) -3\/5 (c) -4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = 76*c**2 + 9. Let p(i) = -82*i**2 - 8. Give -6*p(h) - 5*s(h).\nAnswer: 112*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 325 and 561580175.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/3 in -2428, -2, 13, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -18429053 - 6151906.\nAnswer: -24580959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = -c**3 + 5*c**2 + c - 6. Let p be a(3). Let w(j) = -j**3 - 5*j**2 + 8*j - 17. Let l be w(-7). What is the greatest common factor of l and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (2*v + 5 - 5)*(-3*v - 5*v + 5*v) - 561*v + 561*v - 74*v**2 as w*v**2 + p*v + a and give w.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -28*t**3 - 5*t**2 - 6*t + 6839 with respect to t.\nAnswer: -84*t**2 - 10*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 65, -71, -23972.\nAnswer: -23972, -71, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = x**3 + 4*x**2 - 17*x - 12. Let y be j(-6). Sort 1, 3, y, -1 in decreasing order.\nAnswer: y, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 9, e: 3, k: 4}. What is prob of sequence xe?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 2359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 34371, 31914, 29457, 27000?\n\"Answer: -2457*j + 36828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = 3*d**3 + 6*d**2 + d + 7. Calculate u(-3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (2*(-3*sqrt(121) + sqrt(121)) - -5*(1*sqrt(121) - sqrt(121)))\/(-5*(sqrt(11) - -1*sqrt(11)*-2)*5).\nAnswer: -4*sqrt(11)\/25 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 30213 - -3121?\nAnswer: 100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 56504.19 months to years.\nAnswer: 4708.6825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = 44 - 28. Does 6 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -14.33 - -13.33. What is the third biggest value in 0.0192, y, -0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -0.4, 3\/6023, 0.6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert -6339 (base 11) to base 9.\nAnswer: -12453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 442 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) be the second derivative of 3*v + 0 - 3*v**2 - 1\/3*v**3. Let b be y(-7). What is the greatest common divisor of 16 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 57\/7100 and 151\/2130?\nAnswer: 21300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 divided by -983887.\nAnswer: -1\/983887","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} {"text":"Question: Let r = -4 - -3.97. Let c = 243 + -243.04. Let j = r - c. What is the third smallest value in j, 0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vz when two letters picked without replacement from {v: 18, z: 2}.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 1813255427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m - 4 + 10 = 0. Let f = 1 + 2. Let z = f + m. Solve p - 10 = z*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -4044055 (base 6) to base 5\nAnswer: -22131312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 524 minutes before 2:02 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {g: 1, m: 3}. Give prob of sequence mmg.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o = 3434 + -3437. What is the second biggest value in -5, 0.2, -13\/3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-nine halves of a microsecond in nanoseconds?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 20964*w**2*y**2 - 5*w**2*y - 35*w**2 + 8223*w*y**2 + 1133*y**2 wrt w.\nAnswer: 41928*y**2 - 10*y - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 252552 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-7)\/(-14))\/(2\/28). Let y(h) = -h**3 + 8*h**2 - 5*h - 9. Is 5 a factor of y(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 307.9287ml to litres.\nAnswer: 0.3079287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out 26489.2847 - -989.\nAnswer: 27478.2847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is seven eighths of a millennium in years?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) be the third derivative of 11*m**4\/24 + m**3\/2 - 10*m**2. Let q be x(11). Suppose -27*w - 598 = -2272. Calculate the highest common divisor of w and q.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -1235052 (base 6) to base 11\nAnswer: -46549","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 32c0a + 2?\nAnswer: 32c0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*d**2 - 12*d - 8*d + 19*d + d**3 + 5*d**4 - 8*d - 3*d**4 to o*d**2 + l*d**4 + x*d**3 + r*d + a and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide (1*-1 + -35)*160\/(-40)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 28\/30*189\/(-36) and (-1776)\/(-128)*3\/(7 - -2).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t + 2 = -g + 15, 4*t = g - 15. Suppose -g*q = -94 - 11. What is the tens digit of ((-12)\/q)\/((8\/270)\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8048891 = -185*x - 1021610 + 3034129. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 808763523?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 24*h**3 + 76*h**2 + 49*h + 480669 wrt h?\nAnswer: 72*h**2 + 152*h + 49","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 708504 and 1866.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2172.7 + -2173. Put -12, -2, 1.2, 4, o in descending order.\nAnswer: 4, 1.2, o, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*j - 230 + 1021 = 0. Let s = j - 25. What is the greatest common factor of s and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((7\/651)\/(4\/8))\/(6*(-35)\/315)?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 23689 is divided by 36.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 595669163 to the power of 1\/2, to the nearest integer?\nAnswer: 24406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express -4*a**2 + 14 + 5*a**2 - 14*a**2 - a + 31*a**4 - 29*a**4 as v*a**2 + t*a + j*a**4 + k + m*a**3 and give v.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.8 or 633\/2?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -61\/10 and -38\/115.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f be -7 + 7 - ((-9)\/(-3))\/(-1). Let t(x) = 2*x - 2*x - f*x + 6*x. Let d(m) = 3*m. Calculate t(d(u)).\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w = 13.58 - 9.45. Let d = 0.13 - w. What is the closest to -0.1 in 4, d, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (280 - 277)\/(6*(-8)\/1888).\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 622 divide 2628264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 m and 1 e when two letters picked without replacement from ffmepxefep?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*g + 3*g + 2*g**2 - 26*g.\nAnswer: 2*g**2 - 23*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-12)\/90 + (-450298)\/15. Let s = -60918 - d. Let o be (s - 4 - 0) + 2. Round o to the nearest one thousand.\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} {"text":"Question: Let h(q) be the first derivative of q**4\/12 - 171*q + 62. Let b(y) be the first derivative of h(y). Let j(s) = 11*s - 10*s - 30*s. Determine j(b(o)).\nAnswer: -29*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 3.3 and 5?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y be 2\/((12\/15)\/2). Suppose y = i - 0*i. What is the remainder when 8 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:00 AM and 12:58 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Determine v so that -v**2\/2 - 401*v - 160801\/2 = 0.\nAnswer: -401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 0 greater than or equal to -144\/42607?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 1 - -2 - ((-7 - -33) + -14)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = 15*k**2 + 13*k + 8. Is 13 a factor of u(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = 11*w**3 - 9*w**2 + 26*w + 3. Let o(q) = -9*q**3 + 9*q**2 - 34*q - 5. Calculate 4*j(c) + 3*o(c).\nAnswer: 17*c**3 - 9*c**2 + 2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = 6*d - 9*d + 1 + 3*d - 2*d. Suppose 2*h - 7 = -o, -2*h = -7*h + 4*o + 50. Let c(z) = -2*z + 1. Give h*c(m) - 5*x(m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2\/13 or -6?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = 32*y**3 - y**2 - 3*y + 42. Does 37 divide n(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (k - 2 + 2)*(k - 4*k + k)*(-1 - 4 + 4)*(4 - 3 + 3) to p + n*k + f*k**2 and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 63001194 and 3614?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 21 divided by -91737?\nAnswer: -7\/30579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 96*u - 97*u = -26. Solve u*r - 17 = 43*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:04 PM and 7:31 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = 1632*z**2 + 19*z - 28. What is the hundreds digit of m(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 1209*h**5 - 320*h**4 - 2*h**2 - h + 4543.\nAnswer: 72540*h**2 - 7680*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = n**2 - 1. Let l(k) = 32*k - 4. Let v(t) = 46*t - 5. Let o(g) = -4*l(g) + 3*v(g). Determine o(u) + s(u).\nAnswer: u**2 + 10*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*g + 179 = 32. Solve 5*q + r = -g, 5*r - r = 4*q + 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) be the second derivative of p**3\/6 - 6*p**2 + p - 26. Calculate r(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 20\/(-9)*(-1848)\/(-280)*(-3)\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v be 6 - (1 + -2 + -16). What is the highest common factor of 920 and v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 17.631 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -l*p**5 + 3*l*p**2 + 21*l - 1382*p**5 - 7 wrt p?\nAnswer: -60*l*p**2 - 82920*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = -7*l**2 - 12*l + 6. Let o(t) = -6*t**2 - 10*t + 5. Let g(v) = -5*f(v) + 6*o(v). Suppose -6 = -2*z - 2*h, -2*z - 35 = 3*z - 5*h. Calculate g(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 98 minutes after 7:06 AM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*o - 13*o + 15 = 0. What is the second derivative of 9*k - 4*k**o - 3*k**3 + 2*k**3 wrt k?\nAnswer: -30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 1302, 2605, 3908?\n\"Answer: 1303*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -47\/498, 0.5, -0.4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1658 is divided by 72.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 14267840 divided by 89174.\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -1368621, -1368627, -1368633, -1368639, -1368645, -1368651?\n\"Answer: -6*a - 1368615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) be the third derivative of -37*a**5\/60 + 11*a**4\/12 + a**3\/3 + 3*a**2 - 4. Find the second derivative of b(p) wrt p.\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -140*d**3 - 131*d**3 - 142*d**3 + 390*d**3.\nAnswer: -23*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 16 - 9 - (-15 + (-2 - (0 - 8))) - 10\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 19 a factor of 41841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 152433 (base 9) to base 2\nAnswer: 10110110111100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 16*h**3 - 42*h**2 - 3*h**3 + 30*h**2 wrt h?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*m**4 + 608072*m**3 + 1073725*m**2 wrt m.\nAnswer: 48*m + 3648432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) be the first derivative of 9\/26*q**4 + 2\/13*q**3 - 8\/13*q - 8\/13*q**2 + 72. Factor l(r).\nAnswer: 2*(r - 1)*(3*r + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 20 and 475?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1965951?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = c**2 + 2*c + 51. Let t be f(-11). Let d = 35 + -30. Suppose 15 - 49 = -i + g, -4*g = d*i - 134. Calculate the greatest common factor of i and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) be the third derivative of u**5\/30 + 9*u**2. Let f(p) = -5*p - 3*p + 4*p. Determine b(f(t)).\nAnswer: 32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*v - x + 1333 + 847, 0 = -v + x + 430. List the prime factors of v.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 at least 180362647?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 1178843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -919 or -212676\/5?\nAnswer: -212676\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 29729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -17585 divided by -3517?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 339706709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = -25*z - 537. Give j(-22).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q be 84\/(-92) + 1 + (-544)\/(-11730). Factor -10\/3 + 4\/3*k - q*k**2.\nAnswer: -2*(k - 5)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(513)\/((sqrt(9)*-1 - sqrt(9)) + sqrt(9)) + -1*sqrt(57)*-1)\/(-3*sqrt(75)*4)*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 137363 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = 5*v**3 + 2*v**2 + 1. Let p(u) = -25*u**3 - 11*u**2 - 4. Calculate 22*l(j) + 4*p(j).\nAnswer: 10*j**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put 7, 0.5, 2\/9, 49.3, -0.3 in decreasing order.\nAnswer: 49.3, 7, 0.5, 2\/9, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put -0.23, 2\/13, -26, -1, -2 in ascending order.\nAnswer: -26, -2, -1, -0.23, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2201466192 rounded to five dps?\nAnswer: 0.22015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = 7*d + 4. Let k = 0 - -8. What is the tens digit of f(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9*k**2 + 0*k**2 - 5*k**2 + k**2 - 6*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = -16*z - 19. Let a(u) = 4*u + 5. Let n(j) = -9*a(j) - 2*m(j). Let c be n(-7). Let s = 117 - c. What is the greatest common divisor of s and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 172368 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose r = h - 3 - 0, 4 = h - 2*r. Suppose 11 + 1 = 3*j. Let t(w) = j - h*w**2 + w + w - 3. Calculate t(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (40\/6)\/((111800\/(-150))\/(-172)).\nAnswer: 20\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*h**2\/3 - 3284*h + 9858.\nAnswer: -2*(h - 3)*(h + 4929)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 22462130?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.2032 and 2.\nAnswer: -0.4064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -405 divided by -81?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 24528\/40 - -5 - 2\/10?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (9*a - 5 + 2 + 6)*(-6 + 7*a + 6)*(-3 - 1 + 3) + (-a + 3 - 3)*(-3 + 9*a + 3).\nAnswer: -72*a**2 - 21*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert -13000 (base 4) to base 11.\nAnswer: -378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.25? (a) 19 (b) 65 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -201 - 60 = -9*r. Suppose 366 = p - 451 + 237. What is the greatest common divisor of p and r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = t**2. Let o(l) = 6 + 27*l - 6. Let p(y) = 7*y. Let u(m) = 4*o(m) - 15*p(m). Determine g(u(a)).\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) be the first derivative of 0*i + 4\/3*i**3 + 0*i**2 + 9. Let m(r) = 7*r. Let w(u) = -u. Let k(f) = 3*m(f) + 24*w(f). Calculate s(k(v)).\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -2\/3, -3\/5, -10\/7, 66, 2\/7, -32?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wv when two letters picked without replacement from {w: 1, v: 2, r: 3, b: 4}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 29863511*a**3*d**3 - 2*a**3*d**2 - 228*a**3 - a**2*d**2 - 2*a**2*d + 5*a*d**2 + 4*a*d wrt d.\nAnswer: 179181066*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + ((sqrt(612) + (-2*sqrt(612) - sqrt(612)))**2*4 - (-6*(sqrt(425) + 1))**2).\nAnswer: -5543 - 360*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f = 6, 5*f = -r - r - 35. Let h be (-4)\/r - 13\/(-5). Suppose -h*s - 13 = g, -3*s = -6*s - 15. Which is greater: g or 9\/4?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m = m + 5*x - 16, -10 = -m - 2*x. Let g(t) = t**2 - 9*t + 8. Let d be g(8). Solve -m*r - 6 = -d for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s + 6*s + 4 = -v, -s + 2 = v. Let n be (-38)\/12 - v\/(-24). Let p = 2 + n. Which is smaller: p or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 82, -2, -492, -1, -5 in descending order.\nAnswer: 82, -1, -2, -5, -492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 14105 is divided by 2290.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of (10\/9)\/((-34)\/(-61353))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5584238 to the power of 1\/2, to the nearest integer?\nAnswer: 2363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m + 5*c = -27, 4*m - m + 5*c = -6. What is the closest to -1\/7 in m, -2\/57, -0.3, 0.3?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -3, 1\/2, 0.2, 3\/2 in ascending order.\nAnswer: -3, 0.2, 1\/2, 3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7301439.\nAnswer: 3, 53, 15307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -1 divided by 322\nAnswer: -1\/322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 6209 and 9?\nAnswer: 55881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 661 minutes before 2:09 PM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 - 2 - (-123 - -122)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -16*k**4*w*x - k**4*w - 6*k**3*x + k**2*x + 125*k**2 - k*w wrt k?\nAnswer: -384*k*w*x - 24*k*w - 36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = k**2 + 75*k + 1254. What is r(-29)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = -3*x + 2. Let j(q) = -16*q + 11. Let a(h) = 11*i(h) - 2*j(h). Let c(l) = -19*l**2. Give c(a(s)).\nAnswer: -19*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 318 minutes after 4:39 PM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r - 7 = -v - 0*r, -5*v + 9 = 2*r. Let f = -87 - -84. Let u be 1\/6*-16*f. Put v, 0, u in descending order.\nAnswer: u, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -17 + (-30 - -58) + -4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -68975 times -0.1\nAnswer: 6897.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 2\/11, 0.865, -5, 1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - n + 0)*(-n**2 - 20*n**3 + 3 - 16*n**3 + 40*n**3).\nAnswer: -4*n**4 + n**3 - 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qax when three letters picked without replacement from qaxqaqxqq?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + 3 - ((-3 - 0) + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 426.663 millilitres in litres?\nAnswer: 0.426663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*d**2 - 13 + 2*d**2 + d**2 + 2*d to the form c + n*d + m*d**2 and give c.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 1.93788 and -0.4?\nAnswer: 2.33788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 67883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 291 and 148119?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*g - 3*c, 4*g + 4*c - 4 = -0*g. Suppose 3*p + g*i = -0*p + 54, p = 2*i + 24. Let h = -358 + 373. Solve -3*a = -3*k - k + h, -4*a = 3*k + p for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -58.1 in 1\/2, -2\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 280 is divided by 58.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve q**5\/5 + 29*q**4\/10 - 81*q**3\/2 - 55*q**2\/2 + 1063*q\/10 - 207\/5 = 0.\nAnswer: -23, -2, 1\/2, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 19 - 3 = -16*a + 16 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1052? (a) 0.5 (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = -q**3 + 38*q**2 - 107*q + 6. Give p(35).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 79 divide 37652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*c**3*j**3 - 139*c**3*j**2 - c**3*j + 3*c**3 + 7*c**2*j**3 + 32*c**2*j**2 - 6*c*j**2 - c*j - 2*j**3 wrt c.\nAnswer: 12*j**3 - 834*j**2 - 6*j + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 2663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = 2*k, 2*k = 4*r - 0*k - 34. Suppose -2 + 17 = -5*v + 3*d, 3*v + r = 2*d. Solve 5*n - 4*s - 31 = v, -5*n + 3*s + 23 = -4 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -0.04 <= 663?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find i such that -2*i**2\/3 + 5848*i - 12824664 = 0.\nAnswer: 4386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = 2*u + 28. Let h = u + 21. Let l(k) = -6*k + 10*k - h*k. Let o(v) = 3*v**2. What is l(o(t))?\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*u**2 + 12866067*u - 12866067*u.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*o + 0*o - o)*(3*o**3 - 3*o + 3*o) + 2*o**4 + 6*o - 6*o.\nAnswer: 5*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 4043944 and 5?\nAnswer: 20219720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y = 6943 + -3462. Is 156 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r - 1466 = 1920. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 948 and 1296?\nAnswer: 102384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2577?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j = -3*n - 5, 5*n + 15 = 3*j + n. Let g be j\/(((-21)\/18)\/(-7)). Let t be (-30 - -9)\/(9\/g). What is the third smallest value in t, 0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 14 - 9. Suppose -w - 3 + j = 0. What is the first derivative of -1 + 2 + 2 + w*r**3 wrt r?\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (50\/16)\/(-42*955\/(-32088)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from crcrwyrr. Give prob of picking 3 r.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 2552917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is one sixteenth of a kilometer in centimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/5, -1.4, -4, -4151\/12, 2 in increasing order.\nAnswer: -4151\/12, -4, -1.4, -2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n = -93.73 - -93. Let o = -0.03 - n. Let m = -363 - -1087\/3. Put m, -4, -0.1, o in decreasing order.\nAnswer: o, -0.1, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = 5*w**3 - w**2 + 1. Suppose 5*k - 26 = -v, 0 = k - 4*k + 15. Give b(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7044 (base 15) in base 5?\nAnswer: 1224224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3\/2? (a) 0 (b) 1 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = z, -o = -2*z - 41 + 37. Solve o*s - 86 = -94 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 47448 and 3954?\nAnswer: 47448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/4, 5, -156, 0, 49 in decreasing order.\nAnswer: 49, 5, 1\/4, 0, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t = -16 - -13. Let w be t\/1 - 1\/1. Is 1\/w + (-867)\/(-12) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify j**(-8\/13)*j*(j\/j**(-30))\/j*(j\/(j*j\/(j*j**32))*j)**(-3\/47) assuming j is positive.\nAnswer: j**(17278\/611)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from etyeete. What is prob of sequence yte?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort 6, -51, 312, 9, -1 in descending order.\nAnswer: 312, 9, 6, -1, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.23 - 3050699104358.\nAnswer: -3050699104357.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m = -16 + 20. Solve 2*x = m*h + 6, 0 = -6*h + h - 2*x + 15 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 6 - 3. Suppose -q*v + 2*v = -185. Suppose 0 = 5*o - 3*h - v, -74 = -2*o - 0*o - h. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*r - 25 = q + 4*q, 59*r - 12 = 2*q - 66*r + 128*r for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 7061976 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*v = 30*v - 13*v. Suppose v = -7*p + 3577 + 826. Calculate the remainder when p is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 30 and 8748225?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 191 and 13561.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) be the second derivative of -47*s**5\/5 - 79*s**4 - 584*s**3\/3 - 24*s**2 - 19*s - 3. Find f such that h(f) = 0.\nAnswer: -3, -2, -2\/47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.4, -1, -0.6, 3 in ascending order.\nAnswer: -1, -0.6, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x = -21 + 29. Suppose -h + t = -2, -6 = -4*h + 7*t - 2*t. What is the smallest common multiple of h and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -21 + 23. Sort -2\/3, -0.5, u.\nAnswer: -2\/3, -0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z - 2*a = -50, -5*z - 150 = -8*z - 4*a. Is 44 less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 325 minutes before 9:01 AM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 148 minutes before 3:57 AM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 51 and 7701?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 2845520 to the power of 1\/2, to the nearest integer?\nAnswer: 1687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1286?\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2101*p**3 + 5*p**2 + 16822*p - 2 wrt p?\nAnswer: -12606*p + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*j - 14 = -n, -32 + 21 = -3*j + 3*n - 23 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2935 = -5*j - 385. Calculate the highest common factor of 51 and j.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 420 minutes before 5:00 PM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2922961?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate (162\/135)\/(6\/280)*(-2)\/(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -2 - 20 - -14 - (-178)\/22?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*m - 176 + 286 = 0. What is the remainder when 417 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4 + 3 - 4*t + 2*t)*(3*t**2 - t - 662 + 662) to r + y*t**2 + l*t**3 + v*t and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = -2*b**2 + 2*b - 1. Let q(l) = -3*l**2 + 4*l - 2. Let u be 16\/6*123\/(-82). Let k = 9 - 2. Give k*f(r) + u*q(r).\nAnswer: -2*r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5385748072?\nAnswer: 2, 61, 97, 113777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1561 - 1566 + 3130 - 151*x**2 to the form n*x + d*x**2 + i and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/3*(-47)\/(2773\/(-1947)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*w - 44 = 5*w. What is the lowest common multiple of 5 and w?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 4\/(-5) - 25850\/(-36375). Are m and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = -68*a**3 - 20*a**2 - 91*a + 227. Is o(-18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = 15*q - 12. Let u be (8\/(-16))\/(1\/(-36)). Let t = u - 6. Let i(l) = -l + 1. Determine t*i(s) + f(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 108\/126 - (-4)\/28?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is (5\/(-200)*-2)\/(17\/(1496\/(-77)))?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -75972 - 2438*q + 2*q**2 - 759*q + 75972 as z*q + t*q**2 + w and give z.\nAnswer: -3197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = -i**2. Let w(l) = 3*l + 48. Give j(w(y)).\nAnswer: -9*y**2 - 288*y - 2304","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 66892 is divided by 296.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 309 and 1880?\nAnswer: 580920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) be the third derivative of x**11\/1496880 + x**10\/680400 - x**5\/15 + x**2. Let s(g) be the third derivative of u(g). Suppose s(t) = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) -1\/4 (b) -0.4 (c) -5 (d) 3055 (e) -58.5 (f) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 9 - 64\/7. Sort 5, 0.2, m.\nAnswer: m, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 11 = 16\/115285?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 0, -120, 1, 4 in descending order.\nAnswer: 4, 1, 0, -3, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i be (5 - (2 + -1)) + (-36)\/18. Factor -2*z**i - 6 + 5*z**2 + 9*z - 30 + 6.\nAnswer: 3*(z - 2)*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -4295074 greater than -4295074?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 25229*b**6*h**3 - 6*b**4*h**3 - 2*b**2*h**3 - 6*b*h**2 + 5301*h**3 wrt b?\nAnswer: 3027480*b**3*h**3 - 144*b*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 286942?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-152)\/(-228) - 5\/(30\/4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*y**3 + 40*y**2 - 21*y**2 - 19*y**2.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 + 1 - 4)*(w - 3*w + 3*w) - 3*w - 16*w - 2*w.\nAnswer: -20*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6896 is divided by 3077.\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 3231 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -592*g + 94*g - 402*g**3 + 8*g**3 - 352*g**3 - 334*g**3 wrt g?\nAnswer: -6480*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*b + b + 3*b - b to p + l*b and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -571778171*u + 571778013*u + 9 - 8.\nAnswer: -158*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b - 3*v = 33, -2*b = 3*b + 2*v - 28. Let q be 16\/(-8) - (-1 - 15). Let w be q\/12 - 4\/b. Sort -1\/4, -7, w in decreasing order.\nAnswer: w, -1\/4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 26344264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 4\/19, 97\/4, -6, -0.07 in descending order.\nAnswer: 97\/4, 4\/19, -0.07, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 298453 is divided by 42271?\nAnswer: 2556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -19*n - 3*k - 9 + 41 = 0, n + 2 = -2*k for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 269680041?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(-6\/5)\/z*z*z**(-7)*z)**44*(z**5*z**(2\/9))**(-2\/11) assuming z is positive.\nAnswer: z**(-157286\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -338626 (base 9) to base 7\nAnswer: -1504224","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: Total of 957 and -3.\nAnswer: 954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of b*f*j*v**2 - 3*b*f*j*v - 2*b*f*j + 9*b*f*v**2 - 61*b*f + 3*b*v**2 + 2*j*v + v wrt v.\nAnswer: 2*b*f*j + 18*b*f + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 29805 divided by 15?\nAnswer: 1987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 1, k: 1, h: 3}. What is prob of picking 1 k and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r be -2*(-9)\/(-12)*6. Let n(o) = o**3 + 9*o**2 - o + 2. Let q be n(r). Suppose 11 = 2*m - q. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a and 1 o when two letters picked without replacement from annnafdnanuuonfoa?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q**(1\/2)\/q)**46)**(-2\/3) assuming q is positive.\nAnswer: q**(46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g = -m + 661, 5*g - 3*m - 500 - 597 = 0. Let d = g - 215. Solve 3*u - 10 = 4*w, -1 = -2*w + d*u + 1 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) be the third derivative of 1\/1155*d**7 + 1\/66*d**4 - 2\/165*d**5 + 0 - 3*d**2 - 3*d - 1\/330*d**6 + 1\/11*d**3. Suppose x(q) = 0. Calculate q.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -s = 2*z + 5, -s - 3*s = -4*z - 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of n**2 + 2*n - 12*n + 4*n**2 + 9*n**2 wrt n?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -162 - -171. What is the least common multiple of s and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -164288 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 733 is divided by 103?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 510 = 31*r + 73*r - 2*r. What is the third biggest value in -2, -626, r?\nAnswer: -626","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 176\/(-130) - (-492)\/410\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 221556?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -4*z**2. Let m(f) = 13*f - 5. What is g(m(w))?\nAnswer: -676*w**2 + 520*w - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence chcc when four letters picked without replacement from hchhccchhhccccchccc?\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o = -34.315 - -34. Let s = o - -0.277. What is s rounded to 3 decimal places?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4928000 rounded to the nearest 100000?\nAnswer: -4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*j + 78 = 3*j. What is the highest common factor of j and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = -333*v. Let j(r) = -6*r + 20*r - 16*r. Calculate j(q(l)).\nAnswer: 666*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -20*r**2 + 7*r**2 + 9*r**2.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = 2*g + 4. Let c(k) = 7*k + 11. Let z(f) = -11*f - 17. Let h(u) = 8*c(u) + 5*z(u). Let p(v) = 4*h(v) - 3*s(v). Let a(w) = 10*w. What is a(p(q))?\nAnswer: -20*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 266 a factor of 3710920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i = 30 + -31. Let m be (3 + i + -6)\/7. Put m, 1\/8, -1\/2 in descending order.\nAnswer: 1\/8, -1\/2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:21 PM and 12:02 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 10689.07 litres in millilitres?\nAnswer: 10689070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = 74 + -36. Let s = -28 + a. Let q be (-42)\/30*s\/(-1). What is the greatest common divisor of q and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 38.189 - 0.189. Let c = b - 15. Let h = 0.9 - 1.3. Put h, c, -5 in descending order.\nAnswer: c, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 8.914352*-0.3\nAnswer: -2.6743056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-1 - 6)*1 - 0. Let s(q) = q**2 + 7*q + 2. Let p be s(k). Suppose 0 = 2*r - p - 2. What is the smallest common multiple of r and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 228\/(-494) - 1065\/(-195). Let s = -0.2 - 0. Which is the nearest to 1\/2? (a) s (b) 1\/5 (c) -3 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 318 minutes after 9:09 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 48925 and 95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor 0 + 0*l**2 + 0*l - 2\/3*l**4 + 2\/3*l**3.\nAnswer: -2*l**3*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = 18*p**2 - 140*p - 2070. What is the thousands digit of j(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 512*p + 521*p + 519*p - 1555*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 294 = -61414*c + 61435*c for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -5698*n**4 - 12*n**3 + n**2 - 251*n + 59 wrt n?\nAnswer: -136752*n - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*sqrt(95) + sqrt(95) + sqrt(95) + sqrt(95))*-1)\/((sqrt(5)*-2 + sqrt(5))*2) + -3 + 1.\nAnswer: -2 + 5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2468128 and 6170320.\nAnswer: 12340640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 60926 is divided by 429?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*i**2\/6 + 1727855*i\/6 - 57894365\/3.\nAnswer: 5*(i - 67)*(i + 345638)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:22 PM and 10:08 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0, -50548, 6?\nAnswer: -50548","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1377899?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express (1 - 1 - x**3 + (5*x - 3*x - 5*x)*(60*x**2 - 41*x**2 + 88*x**2))*(17 + 29 + 51) as v + k*x**3 + t*x + n*x**2 and give k.\nAnswer: -31234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -131 times 0.2\nAnswer: -26.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 629 and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 23*l - 6 = 25*l + f, 0 = -l + f for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = 2*d**2 + 37*d + 62. Give q(-18).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = 22*m**2 + 3*m - 8. Let x be c(2). Let f = -76 + x. Calculate the highest common divisor of 30 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -49.5 - 2.5. Let p = -51.43 - m. Round p to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 333 is divided by 56.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:19 AM and 7:29 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m - 410 = -146. What is the highest common divisor of 99 and m?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 27, 21, 15, 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1134 is divided by 71?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -3038, -6079, -9134, -12209, -15310, -18443?\n\"Answer: -c**3 - c**2 - 3031*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 967650?\nAnswer: 2, 3, 5, 6451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n be 0*(133\/(-14))\/(-19). Solve -2*d + 4*d + 5*i = -18, n = -3*d - 2*i - 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = 12*y**2 + 58*y**2 - 19*y**2 + 161*y**2. Let r be u(1). Suppose -4*c = -r + 76. List the prime factors of c.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 12*n**3 + n**3 - 3*n**3 + (-2*n - 3 + 3)*(-n**2 - n**2 + 0*n**2) + (-4 - 8*n**2 + 4)*(-6*n + 7*n - 3*n) to f*n + p*n**3 + u + m*n**2 and give p.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let -2*f**4\/11 - 142*f**3\/11 - 186*f**2 - 334*f - 1768\/11 = 0. Calculate f.\nAnswer: -52, -17, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 210 and 168.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 187072343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2559 is divided by 1225.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -5 divided by 5939?\nAnswer: -5\/5939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i = -15 + 6. Suppose -8 - 27 = -7*l. Suppose 9 = 3*x + l*h, -2 = -2*x + 4*h + 4. What is the least common multiple of i and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -w**3 + 95*w**2 - 274*w + 5. What is r(92)?\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d = d. Suppose g - 5*g - 108 = d. Does 16 divide -12*3\/(g\/24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 3\/(-3)*(-2 + -1). Suppose v*m - 5*x + 8 = 0, 0*x + 4*x = 16. Factor -g**2 + g**m + 0*g + 0*g**3 - g + g**3.\nAnswer: g*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2639156 = -10*r + 20660944. Suppose -6*k + 931992 = -2*j - 10*k, -5*j + 5*k - r = 0. Round j to the nearest 10000.\nAnswer: -470000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-2 - (-124)\/12)*3)\/1. Let g be -1 - ((-12)\/50)\/(5\/l). Let s(k) = k - 5. Let o be s(4). Which is smaller: o or g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*z**5 + 20013*z**4 + 2722143*z**3 + 91642935*z**2.\nAnswer: -3*z**2*(z - 6805)*(z + 67)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put -0.08, -0.1, -2\/17 in descending order.\nAnswer: -0.08, -0.1, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 2a4b - -13?\nAnswer: 2a62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4390 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = -4*d + 18. Let a be y(16). Let k = 48 + a. Solve w - 7*o + 2*o + 1 = 0, 4*w - k*o = -4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 70 - 99. Let u = b - -45. What is the smallest common multiple of 12 and u?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f + 3*b + b = -50, -5*b = 4*f - 74. Let c = -267 - -278. Suppose -c*m + 15 = -29. Solve 2*h + h - 4*n + f = 0, m*h - 5*n + 27 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 310 a factor of 721060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = -3*m**2 + 23*m - 10. Let x be l(7). Calculate the greatest common divisor of 8 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1 = 6*i + 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = b**3 + 2*b**2 - 343*b - 1786. Determine m(-16).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 49220 and 16330.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8 + 18576*f - 8.\nAnswer: 18576*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is u in 15*u**3\/2 - 126*u**2 + 939*u\/2 + 99 = 0?\nAnswer: -1\/5, 6, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-3)\/(-345)*5)\/((-11)\/22)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -n**2 + 8*n - 1. Let r = 866 + -554. Let f be (-2)\/(-9) - r\/(-54). What is the remainder when 31 is divided by c(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 31567931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 5.3 or 38744\/5?\nAnswer: 5.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 14121127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -k**3 - k**2 + k. Let u(q) = -q**3 + 3*q**2 + 19*q - 5. Let v be u(6). Let d(n) = -2*n**3 - 6*n**2 + 4*n + 1. Calculate v*d(s) - 4*y(s).\nAnswer: 2*s**3 - 2*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -3852528*x**2 + 5649259*x wrt x.\nAnswer: -7705056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = -2*j**3 - 1174*j**2 + 7109*j + 31. Determine a(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 202 minutes before 9:04 PM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = r**2 + 7*r - 2. Let b be p(-8). Suppose 0 = 4*x - b*x. Suppose x = 3*l - 37 - 20. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*m - 2*m**3 - 3 - m**2 - 15 - 2*m - 2 + 19 to the form k*m + w*m**3 + j*m**2 + r and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3021456650.\nAnswer: 2, 5, 1657, 36469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q = 25 - 5. Let r = -2.8 - -2.1. Which is the third smallest value? (a) r (b) -2\/3 (c) q (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 9, b: 2}. What is prob of sequence bb?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k + 1 - 1 = 0. Suppose -d - 20 = -6*d. Let q be -1*d\/(-10) - 1. Which is the smallest value? (a) -1\/3 (b) q (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 43 divide 30383873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2132269, -2132217, -2132159, -2132095?\nAnswer: -2132025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 623 minutes before 12:32 PM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1.9346 - 0.1346. What is the closest to -2\/3 in 4, 0.3, v, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -2212211 (base 3) to base 14\nAnswer: -aa1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 134200495 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is -29 greater than 2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o be -3 + 0 + 459639\/(-42). Let h = 10939 + o. What is the common denominator of h and -97\/20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 202 is divided by 52?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 200590469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 330047, 1319939, 2969769, 5279543, 8249267?\nAnswer: 11878947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -i + 2 + 11*i**2 + 0 + 22*i**2 to f + k*i + y*i**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 323493784 to the power of 1\/3, to the nearest integer?\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 0.49 take away 0.118013689?\nAnswer: 0.371986311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xeexleexaxxexexxea. What is prob of sequence ele?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d be 476\/(-4) - (0 + -2). Let q = d - -212. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -18567541 divided by 10\nAnswer: -18567541\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) be the first derivative of -3\/2*z**2 - 5*z - 7 - 2\/3*z**3. Let q(r) be the second derivative of -r**3\/6 - r**2\/2 - 3*r. Calculate p(n) - 5*q(n).\nAnswer: -2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 6559662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is -6739 equal to -17\/57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in thirty-seven fifths of a centimeter?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = 17 + 3 - 3 + 3*j**2 + 2 + 8*j. What is the tens digit of m(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -m**2 - 11*m + 9. Let x be o(-12). What is the common denominator of (-1)\/(-2) - (-65)\/(-4) and ((-14)\/x)\/(280\/(-273))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -64 > -0.12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*x - 2*x - 5*c + 1267, -2*c = 3*x - 1928. What is the greatest common divisor of x and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/9 in 3, -327, -277, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 3, p: 11}. Give prob of picking 2 m.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mavuoamammuuaa. Give prob of sequence mo.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -29\/618 and 59\/1648?\nAnswer: 4944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2658 is divided by 97?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*n - 18 - 12. Let v be (n\/120)\/(2\/(-9)). Let k(w) = w**3 - 3*w**2 + 29*w - 92. Let p be k(3). Which is the nearest to -0.1? (a) v (b) -3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k**3\/4 - 21895*k**2\/4 - 114525103*k\/4 + 58903019319\/4 = 0. Calculate k.\nAnswer: -11183, 471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from sjneseeenjjojjsnes. Give prob of sequence jj.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Product of -57877.57 and -0.53.\nAnswer: 30675.1121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from iqsyqqqlpsplq. Give prob of picking 1 i, 1 q, and 1 y.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = -5*y**2. Let f(a) = -197809376*a. Calculate f(g(m)).\nAnswer: 989046880*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 2, r: 4, y: 2}. Give prob of picking 1 l, 1 r, and 1 y.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r = 40 - 33. Suppose n = -5 + r. What is the smallest common multiple of -1 + 10 - (0 + 1) and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 226975 is divided by 1201?\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is (-8 + 6)*(-13 - (95\/76 - 15))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round -433.129 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7004?\nAnswer: 2, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = -i + 38. Let x = -4 + 4. Is 8 a factor of o(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = 17*s**2 + 35*s + 5. Let z(p) = 21*p**2 + 43*p + 4. Let x(d) = 5*g(d) - 4*z(d). Give x(5).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 21\/(-19) + (0 - -1). Is p less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 7 - (-4 + -1 + 2 - -9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 295393 and 13699.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2024\/(-11 - -22)*(75\/108 - (-112)\/(-252)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q + 1488 = 2*j, 4*q - 8*q = 4. Suppose j*w + 20 = 750*w. What is the nearest to 0 in -3, -12, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 102 + -102. Let l be (4 + b)\/(16\/9944). Let c = l + -1543. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 52362 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x = -167 - -172. What is the hundreds digit of -5*(-1)\/x + 766\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = -z**2 + 5*z - 2. Let m be s(4). Let i(l) = -l**3 + 3*l**2 - 2*l - 2. Let d be i(m). Which is smaller: -4 or d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -o**3 + 5*o**2 - 3*o - 4. Let f be s(3). Suppose 9*y + f = 32. Find the second derivative of -y*v**3 - 4*v**3 - 6*v**3 + 4*v**3 - 18*v wrt v.\nAnswer: -54*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-28)\/(-4))\/(-280))\/(((-266)\/(-168))\/(-19))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 91660855687 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g = -25.9 + 25.9. Let r = -24\/7 + 134\/35. What is the closest to r in 2\/13, g, -6?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -127.524795 + -88.474814. Let r = 216 + n. Round r to 5 dps.\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 618 minutes before 1:40 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 2636264.6 to the nearest 100000.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 43866737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = b**3 + b. Let s(y) = 4*y**3 + 4*y - 1. Let c(j) = 7*k(j) - 2*s(j). Let r(n) = n**2 - 7*n. Let g be r(7). Let l be c(g). Solve l*p + 10 = -0*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from yssssssyyssssss.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: ((-6)\/(-30))\/(4\/(-30))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 18401619 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 97803 is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 135663.31 to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -4? (a) 3 (b) 1\/7 (c) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -1, 229, -0.37?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:48 PM and 11:11 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 768 (b) -68 (c) 5 (d) -4 (e) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (1618 + 723 - 284 + 2826 + 1733)*(3*z - 3*z - 2*z).\nAnswer: -13232*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3108060393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w = -15*t + 11*t - 16, 2*w - 2*t = 8. Solve n - 7 = 2*p - w*n, -n + 11 = -3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2672139975 to the nearest integer?\nAnswer: 1388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n be -9*4\/6 + 1. Let z(y) = 4*y**3 + 3*y**2 - 5*y + 3. Let l(s) = -2*s**3 + 0*s**3 - 5 - 5*s**3 - 5*s**2 + 9*s. Calculate n*z(g) - 3*l(g).\nAnswer: g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -743*q**5 - 5*q**4 - 13*q**2 - q + 179 wrt q?\nAnswer: -44580*q**2 - 120*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r = 51\/7 + -429\/56. Which is smaller: -2\/3 or r?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence oooo when four letters picked without replacement from ozozzoo?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1150 is divided by 383?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:14 AM and 5:25 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 886798.2 centuries in decades?\nAnswer: 8867982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*m - 4*m + 128 = 0. Let c(d) = d**3 + d**2 - d + 24. Let x be c(0). Suppose b = 4*b - x. Calculate the greatest common factor of b and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 14529850 and 50.\nAnswer: 14529850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1 + 5. Suppose -t = -1 - 2. Suppose -5*c + f + 25 = 0, -u*c + f + 34 = t*f. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) be the first derivative of -g**5 + 2*g + 6. Find the first derivative of b(p) wrt p.\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1038976km in nanometers?\nAnswer: 103897600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (312\/(-585))\/(-2 - 16\/(-5))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 32 + -8193.\nAnswer: -8161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 919 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(12)*6)\/(sqrt(864) + sqrt(864) + (sqrt(864) + -1*sqrt(864) - sqrt(864)) + sqrt(864)).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 51276.61 nanoseconds?\nAnswer: 51.27661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out 306137 * 2.\nAnswer: 612274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(6)*-1 + sqrt(6))\/sqrt(2)*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 28806391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 22*o - 5 + 0 + 3.\nAnswer: 22*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0.01251887 rounded to 4 dps?\nAnswer: 0.0125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-8)\/14*7\/(-2). Suppose t*x + 20 = -3*x, -3*q = -2*x - 228008. Let m be (q + 0)*(-9 - 6). Round m to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xxzzzxxx. What is prob of picking 3 x?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 29123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -19 * 13126\nAnswer: -249394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Multiply -68 and 47.\nAnswer: -3196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -7*b**3*q**3 - 27*b**3 - 4*b**2*q**3 + 404*b**2*q**2 + 23*q**3 wrt q.\nAnswer: -42*b**3 - 24*b**2 + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -8 in 3\/2, 0.323, -3\/31, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 101180376 to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-105)\/(-9))\/(-1*(-4)\/3336). Suppose 0 = 51*p - 58*p + h. List the prime factors of p.\nAnswer: 2, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -89\/13260324 and -38\/2667?\nAnswer: 13260324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is -2736591 at least -2736594?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1088*x + 1075*x = -12870. What are the prime factors of x?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = -59*r - 4800. Determine g(-85).\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 155\/(-2)*(-252)\/(-210)*88\/(-132)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1069635505.\nAnswer: 5, 157, 509, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h = 779 - 8567\/11. Which is the closest to -1.1? (a) -0.1 (b) 2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 294034 is divided by 217.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 1\/4, -0.02, -2\/19?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 59 divide 10739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 211000201200012 (base 3) to base 11\nAnswer: 6675a19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*l - 10*l + 26 = 4*g, 3*g = 4*l + 23 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v be (264\/(-32))\/3*-72. Let p = v - 395\/2. Let h = 0.6 - 1. What is the fourth biggest value in -1\/3, 0.3, p, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*d**2 + 18*d**2 + 2*d**3 - 7785 - 8*d**2 + 7785.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 467*z + 11594 = 489*z. Which is bigger: 521 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.9 and -537.\nAnswer: -536.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is one tenth of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*b - 27 = -21 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.2 and 883.\nAnswer: -176.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 61481.01 millimeters to nanometers.\nAnswer: 61481010000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 7440 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d be 14\/(-3) - (-6)\/9. Let l = 9 + d. Suppose -l = 2*t - 303. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l**2\/l**21)\/((l\/(l**(-9\/10)\/l*l))\/(l\/(l**(-33)\/l))))**(2\/43) assuming l is positive.\nAnswer: l**(141\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m = -253 - -271. Let p(y) = m + y**2 - 18 - 2*y**2. Let f(g) = -2*g. Calculate p(f(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 9 and 1413.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 3, n: 3, d: 1, l: 3}. Give prob of sequence ldx.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-4)\/10 + 662174\/98820. Let h = o - 4\/4941. Calculate the common denominator of -133\/6 and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m and 1 k when two letters picked without replacement from {k: 10, m: 1, c: 5, n: 4}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -11*p + 4. Let k(b) = 2 - 2 + 2 + 4*b - 9*b. Let o be 9\/(-1)*(-1)\/(-1). Determine o*k(s) + 4*i(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = 3*m**4 + 12*m**3 + 5*m**2 + 7*m - 7. Let n(a) = -a**4 - 4*a**3 - 2*a**2 - 2*a + 2. Let x(r) = -2*c(r) - 7*n(r). Determine f, given that x(f) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -19 + 10 + (-3 - (-30 + 15))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*l + 19*l = -4*p + 2, 3*p - 14 = l. Which is the smallest value? (a) l (b) 3 (c) -71.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (85 - (193 + -71)) + (3 - 11)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 9494, 67655, 225524, 532955, 1039802, 1795919, 2851160, 4255379?\nAnswer: 6058430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -77*m - 60 = -81*m. Suppose 0 = 4*w + m*w - 11438. What are the prime factors of w?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -1, -425, -305, -5, -0.2?\nAnswer: -425","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 86822172677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = j. Let p(g) = 5650342*g. What is p(m(h))?\nAnswer: 5650342*h","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: Solve 1870 = -242*k + 55*k for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert -10 (base 7) to base 3.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = 22*o - 77. Let n be y(5). Suppose 4*p - 361 - 695 = 0. What is the greatest common factor of n and p?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 91\/720 and 29\/28.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -2*i**2 - 59*i - 81. Let w be s(-28). Let v = 34\/39 - 20\/13. Which is the third biggest value? (a) w (b) 4\/5 (c) 1 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -45, -94, -143, -192, -241, -290?\nAnswer: -339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1141020 rounded to the nearest ten thousand?\nAnswer: 1140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f = 256721 - 256735. Let x = 7 + -2. Put x, 4, f, 2 in ascending order.\nAnswer: f, 2, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 59, 78, 97, 116?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n be (239 + 29)\/(3\/6). Let k = 538 - n. Let i(p) = -5*p + 3. Give i(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) be the third derivative of 79*n**4\/24 - 41*n**2. Suppose 0 = 4*d - 2*c + 7*c - 24, c - 1 = 3*d. Is k(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -5089 - -7730. List the prime factors of a.\nAnswer: 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 41 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 4463 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*o + 5*f + 2270, -12*f - 923 = -2*o - 7*f. What is the remainder when o is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -15288, -30579, -45868, -61161, -76464, -91783, -107124?\nAnswer: -122493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -44, -91, -140, -191, -244?\nAnswer: -299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*z = -24*z + 5075. Let l = 1574 - z. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.4 and 1.3015?\nAnswer: -0.5206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is -1 at least as big as -8\/2575?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*t**5 - 179*t**2 - 6*t**3 - 29*t**3 + 61*t**2 wrt t?\nAnswer: 120*t**2 - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine o so that -9*o**3 - 816*o**2 + 1101*o - 276 = 0.\nAnswer: -92, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 = 3*r - 10. Suppose -4*d - r = -p, 3*d + 6 = -6*p + p. Solve -v - 5 = -p for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -9, -33, -89, -195, -369, -629?\nAnswer: -993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose b + 2*b = 0. Suppose 4*h = -b - 4. Sort h, 1, 3 in descending order.\nAnswer: 3, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 17485 to the power of 1\/2, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-9 - (-24 - -15)) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 - 3230316026480.\nAnswer: -3230316026484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i = 58 + -32. Let k = -10 + i. Calculate the greatest common factor of k and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 5*g**3*w + 807962*g**3*x + g**2 + 4*g*w*x - 53450*w - 2 wrt x?\nAnswer: 807962*g**3 + 4*g*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*u - 3*f + 327, -539 = -0*u - 5*u - 3*f. Suppose -5*c + 3*j - 7*j = -u, 4*j = 5*c - 74. Calculate the smallest common multiple of c and 14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 857698 is divided by 61264.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} {"text":"Question: Factor 5*f**2 - 1438035*f + 5752060.\nAnswer: 5*(f - 287603)*(f - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round 41533.27 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of m**3*n**4 + 3*m**3*n**2 + m**3*n + 2*m**3 - 7*m**2 + 152842*m*n**6 + 6613*n wrt n.\nAnswer: 24*m**3*n + 18341040*m*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -5, -8 in descending order.\nAnswer: 1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-16)\/(-9))\/((-7947)\/(-71523)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 3656001 and 2647449?\nAnswer: 76776021","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 182988\/408*4\/26?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 2242129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express 0 - 7*t + 3 + 3*t - 4333*t**2 + 4331*t**2 - 2*t**3 in the form f + i*t + q*t**3 + x*t**2 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 51 and 2680.\nAnswer: 136680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 4, 2614.\nAnswer: 2, 4, 2614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:03 PM and 8:08 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) be the third derivative of -k**6\/1260 + k**5\/420 + 5*k**3\/6 + 6*k**2. Let u(v) be the first derivative of a(v). Let u(z) = 0. What is z?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 2 - (-1)\/1958*-8326. Let f = z + -18\/89. What is the common denominator of -2 + 2 + 150\/55 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 41880 and 165720.\nAnswer: 57836280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qgqggqq. Give prob of picking 2 q.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 13 (base 7) in base 15?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 72990418.\nAnswer: 2, 17, 37, 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n = 18 + -13. Suppose 0 = d + n, -3*d + 4 = 3*f - 2*d. Suppose 4*h + 2 = f*q + 12, 3*q - 10 = -h. Sort -1, -3, q.\nAnswer: -3, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-73 - 179 - 7)*(0 + 0 - j**2) in the form r + g*j**2 + l*j and give g.\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1596*r**2 + 820*r**2 + 957*r**2.\nAnswer: 3373*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b - b + 25 = 0. Suppose 1 = -b*c + 6. Put c, 0, -4 in decreasing order.\nAnswer: c, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (86\/2)\/((-13)\/(-13))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -432 + 430. Sort -2\/3, -4, w, -46 in increasing order.\nAnswer: -46, -4, w, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 132*d - 20 = 136*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -v**2 + 94*v + 816. Let u be r(-8). Solve -11*a = -6*a - 3*q - 10, u = -2*a + q + 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 927685\/7173 - 86\/797. Let d = 129 - m. Let j = -17 - -14. Put j, d, -4 in decreasing order.\nAnswer: d, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 88 is divided by 34?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 4521 = -484*o + 361*o - 2613 for o.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -48*c + 65*x - 957 = -42*c, -4*x = 2*c - 66 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 22\/59 and 6\/5.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 170, 630, 1396, 2468, 3846, 5530, 7520?\n\"Answer: 153*z**2 + z + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -53565553 divided by -1.\nAnswer: 53565553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z + 33048 = 4*w, 13079 - 4815 = w - z. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 6\/(-4) - 65\/(-10). Factor -8*z + 6*z**3 - 8*z**4 + 38*z**m - 36*z**5 + 9*z**2 - z**2.\nAnswer: 2*z*(z - 2)**2*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 3\/8, -1, 0.23, -1\/6, -4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 16, o: 4}. Give prob of sequence ooo.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -b**2 - 2*b + 20. What is the remainder when 39 is divided by r(0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h - 4812 = -36. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 940195 is divided by 139.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 4, g: 1, z: 5}. Give prob of picking 2 q.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 3, -4, -54, 1 in descending order.\nAnswer: 3, 1, -2, -4, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put 1446, -4, -124 in increasing order.\nAnswer: -124, -4, 1446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 3, 47, 1 in descending order.\nAnswer: 47, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a be 8\/(-6)*6\/(-4). Let d(r) = 2*r - 5. Let y be d(5). Suppose 3*n = -5*x + 3, 6*x - y*n = 3*x + 29. Solve a*t = -3 - x for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b + 10 = -6*b. Let y = b + 27. What is the remainder when y is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1278 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = -7*j**2. Let i(u) = -u + 13. Let q be i(10). Suppose -2*d = q*d. Let t(o) = d + 0 + 3*o - 2*o. Determine r(t(w)).\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t = 26 - 17. Calculate the remainder when 7*6\/189 + 250\/t is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(-7)*((l*(l*l**(-2\/19))\/l)\/l)\/l*l*l*l*l**(2\/5)*l*l**(-3)*l)**(-3) assuming l is positive.\nAnswer: l**(1626\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -15*r - 2*r**2 + 15*r. Let v(s) be the second derivative of -s**3\/6 - 5*s**2 + 10210*s. Calculate m(v(n)).\nAnswer: -2*n**2 - 40*n - 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose z + 83*y = 82*y + 3554, y - 7113 = -2*z. List the prime factors of z.\nAnswer: 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 10*k + 9*k - 5 + 9*k - 20*k wrt k.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z + 3*m = 9, -3 + 7 = 4*m. Let b(g) = -7*g**2. Let j(f) = -15*f**2. Let t(x) = z*j(x) - 7*b(x). Let r(w) = -4*w**2. Give r(t(h)).\nAnswer: -64*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j - 130 = 248. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -28048 divided by 1753?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 13785 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 358549177 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -773*w**2 + 1546*w**2 - 770*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 253753.1mm?\nAnswer: 253.7531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -109\/306 and -53\/2216256?\nAnswer: 6648768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 317026576.\nAnswer: 2, 557, 35573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 6 and 1190.\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 61506959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1047? (a) 0.8 (b) 5 (c) -0.3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -303*n - 120 = -279*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 56*r - 53*r - 4*f - 76 = 0, 0*f - 88 = -5*r - 3*f for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -34 divided by -34.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -b + 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f + 2 = 3*f, 4*q - 34581 = -3*f. What are the prime factors of q?\nAnswer: 2, 3, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 27483.449 - -5.73252.\nAnswer: 27489.18152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1500)*-1 - sqrt(1500))\/sqrt(3).\nAnswer: -20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.9 - 2.9. What is the closest to -6 in -0.3, d, -0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 5*n**2 - 2*n**4 - 8*n**2 - n + 4*n**4 + 0*n**2 in the form x*n + a + f*n**3 + i*n**2 + s*n**4 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 20697 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000002044 to seven decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.96 - 0.04. Let h = 0.3 + -0.34. Which is the second smallest value? (a) h (b) 0.5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 23700 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve o - 14 = -3*i, o + 10*i - 19 = 6*i for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -4*p**2. Let n(m) = 122*m - 1. Calculate n(r(s)).\nAnswer: -488*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 p when four letters picked without replacement from pppppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = 10*c + 67. Let z be i(-7). Let q be (0 - 3)\/(60\/(-16) - z). Sort q, 2, -4, -3 in ascending order.\nAnswer: -4, -3, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11 + -1011?\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c = -3105 + 3400. What are the prime factors of c?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 3 - 20?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 4.586366 decades to years.\nAnswer: 45.86366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 3168334 divided by -13\nAnswer: -243718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00003115 to seven decimal places.\nAnswer: 0.0000312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 5, d: 3, t: 8}. What is prob of sequence ttd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 22130 is divided by 847?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -3 + 13 + -12 + (-5 - -2) + -19\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (75\/90)\/(75\/540)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = -z**3 + 19*z**2 - 27*z - 35. What is c(19)?\nAnswer: -548","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-18 + 449*w**2 + 16 + 3*w + 263*w**2)*(-5*w + 3*w + 0*w).\nAnswer: -1424*w**3 - 6*w**2 + 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -8*m**2 - 18*m + 72. What is j(5)?\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify x*x*x**(-20)*(x\/(x**(-2\/17)\/x))\/x*x assuming x is positive.\nAnswer: x**(-270\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 27? (a) 6 (b) 2\/3 (c) 0.4 (d) 1 (e) 97.697\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 1807138 rounded to the nearest one thousand?\nAnswer: 1807000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a be -1 + 7 - (-1 - -2). Suppose 16 = 4*r, -u = u - 2*r. Put -4, u, a, 0 in ascending order.\nAnswer: -4, 0, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = 291*g**2 + 19*g - 4863. Let w(a) = -290*a**2 - 16*a + 4869. Let m(b) = -5*q(b) - 6*w(b). Find the second derivative of m(c) wrt c.\nAnswer: 570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 29 + -23. Suppose x = 5*j - 109. List the prime factors of j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -233 - -268. Let q(p) = 9*p**3. Calculate the remainder when f is divided by q(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00004447387 to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y - 2*j = -y - 50, 2*y - 2*j - 50 = 0. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 197 + o**3 - 2*o**4 - 18144*o - 196 + 18159*o + 3*o**2 in the form k*o**3 + w*o + h*o**4 + x + l*o**2 and give w.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -j**2 + 6 + 3 - 4*j - 5. Let z(n) be the first derivative of -n**3 - 11*n**2\/2 + 11*n + 2. Determine 11*u(s) - 4*z(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 0.03 * 2.455\nAnswer: 0.07365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yy when two letters picked without replacement from kyyykycck?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express -8689*m + 1 - 8693*m + 17383*m - m**2 + 12*m**4 in the form y + r*m**3 + c*m**2 + o*m + t*m**4 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 187, 182, 175, 166, 155, 142?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 29046806 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = 3*h**3 + 17*h + 17. Let l(a) = -a**3 - 6*a - 6. Let s(y) = -77*y + 610. Let o be s(8). What is o*n(b) - 17*l(b)?\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Work out -1 + 1195596320.\nAnswer: 1195596319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -219, -570, -919, -1266, -1611, -1954?\n\"Answer: q**2 - 354*q + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 486 is divided by 32.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 186 and 42005.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 43398 (base 14) to base 3\nAnswer: 22021001220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = -523 + 522. Suppose -3*p + 5 = 2. Which is smaller: p or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from {c: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s = -5875\/6747 + 22\/173. What is the common denominator of s and 43\/11?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -24656 (base 8) to base 4\nAnswer: -2212232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 309 minutes after 8:46 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2744?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 2697766 divided by -302\nAnswer: -8933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0006021 to five dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (8 + 1 + 4)*(23 - 23 + 12*x)*(-3*x + 4*x - 3*x).\nAnswer: -312*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -j**2 - 5*j. Let q(a) = -a. Let l(y) = -2*n(y) + 10*q(y). Let w(u) = 225*u + 33. Let z(o) = 14*o + 2. Let f(r) = 2*w(r) - 33*z(r). Determine f(l(p)).\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 0 + (-28)\/(-8) - 174225\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 719 minutes before 3:23 PM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from irkr. What is prob of sequence rk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = h**3 + h. Let q(j) = -11*j**3 + 2*j**2 - 4*j. Let u(f) = 4*a(f) + q(f). Let b be u(-2). Suppose -3*t = -11 - b. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 73 - 62. Suppose -c*o = -12*o + 1. What is the first derivative of 15 + 8 + o + 459*s**3 - 490*s**3 wrt s?\nAnswer: -93*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -5422, -3870, -2318, -766, 786?\nAnswer: 2338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 42427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 1, i: 8, z: 1, l: 4, h: 1, p: 1}. What is prob of picking 1 l and 1 i?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = 2*y**2 + 4*y + 5. Let u be j(-2). Let b(k) = -u*k**2 + 9*k**2 - 2 + 2. Let f(c) = -4*c. What is f(b(x))?\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 0.7 at least -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) be the second derivative of -a**7\/42 - a**4\/3 + 5*a. What is the third derivative of b(h) wrt h?\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 64193, 128543, 193217, 258377, 324185?\nAnswer: 390803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = 220710*h**2 - 5255*h. Let q(v) = -1051*v**2 + 25*v. What is -1051*q(f) - 5*s(f)?\nAnswer: 1051*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -11*j. Let v(f) be the third derivative of -f**5\/120 + f**3 + 3*f**2. Let c(n) be the first derivative of v(n). Calculate c(t(l)).\nAnswer: 11*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u = 14.7 - 2.7. Let g = u + -12.08. What is g rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = -98*d**3 - 2*d + 167. Let n(m) = 196*m**3 + m**2 + 5*m - 334. Let y(t) = 2*n(t) + 5*x(t). What is the third derivative of y(l) wrt l?\nAnswer: -588","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z - 208 = 157. Suppose 5*h - 2 = z. Is 8 a factor of 6\/h*7*5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -342 + 356. Suppose -77 + 301 = s*p. Solve 3*c = -p + 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1021100201220 - -11?\nAnswer: 1021100202001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p + 2*o = 5*p - 11, 2*p + 4*o + 10 = 0. Which is the fourth smallest value? (a) -1 (b) 5 (c) -3 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 120309 and 25704?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 34339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-220*s**2 + 2295*s - 2295*s)*(s**2 - 2*s**2 - 2 + 1).\nAnswer: 220*s**4 + 220*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -3, -54 in descending order.\nAnswer: 3, -3, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -124*z - 652456 = -129*z - 3*p, 5*p = 3*z - 391494. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from yssyyjjsyy. Give prob of sequence ssy.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -0.5, 3\/4, 3, -10301.\nAnswer: -10301, -0.5, 0, 3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) be the second derivative of -o**5\/20 - o**4\/12 - o**3\/6 - 8*o. Let w be p(-2). Calculate the highest common divisor of 9 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) be the second derivative of -239*o**3\/6 + 167*o**2\/2 - 416*o. Differentiate f(a) wrt a.\nAnswer: -239","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -2*g, 48*x = 44*x + 3*g + 902. Calculate the remainder when x is divided by 48.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 4559852 and 2487192?\nAnswer: 27359112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000023573748 to 6 decimal places.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = 6*x + 1. Let b be (-4 - -2) + 25\/(-10)*-2. Give l(b).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = w**3 + 5*w**2 - 8*w - 2. What is the least common multiple of 12 and z(-6)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -18\/95 (b) 0.14 (c) -120\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round 10082800 to the nearest one hundred thousand.\nAnswer: 10100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = 109*t - 1193. Let b be f(11). Solve -b*i = -8*i - 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*g - 2*o = 23, 2*g - 350*o + 2 = -352*o for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 5.29766 rounded to 1 dp?\nAnswer: 5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*x - 2*x - 406 = -2*m, -3*m + 545 = -4*x. What is the greatest common divisor of 204 and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -22*g**2 - 60*g + 244. Determine q(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*o - 361 + 106. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**1*((o*o**(1\/9)\/o)\/o)\/o)**(-32)\/(o**(1\/7)*(o*o**(-6)*o)\/o)**(2\/17) assuming o is positive.\nAnswer: o**(1828\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-3 + 6)*10\/6. Factor -6*h**3 + 3 + 3*h + 6*h + 2*h**2 - 3*h**q + 4*h**2 - 9*h**4.\nAnswer: -3*(h - 1)*(h + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -43*s - 55. Let c(g) = g + 2. Suppose 2*t + 2*v + 6 = 0, -4*v = 2*t - 1 + 15. Let b(f) = t*a(f) + 5*c(f). Differentiate b(p) with respect to p.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -109 + 77 = -d + 6*u, -2*d - 4*u - 16 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 3\/99152614 and -42\/11.\nAnswer: 99152614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = -3*j**2 + j. Let f be z(-1). Let c be (3 + -1)*(-10)\/f. Solve r = c*r - 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 143285.6424 to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -u**2 - 2729179*u**3 + u**2 + 2729190*u**3.\nAnswer: 11*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 8, k: 2, y: 2}. What is prob of picking 1 y, 1 o, and 1 k?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -25, 26, 2, -5 in increasing order.\nAnswer: -25, -5, 2, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 164132 (base 8) to base 14\nAnswer: 1796a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-9)\/(-2)*((-16)\/(-6))\/4. Solve -2*c = -y*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4185*c**3 - 23*c + 461*c**3 - 132*c + 155*c.\nAnswer: -3724*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 55 = 4*m + m - 5*k, -4*k = 4. Let p(n) = 1599*n**2 - 36 + 5*n + 36 + 5*n. Let w be p(m). Round w to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -17190.9999980224 - -17191. What is m rounded to 7 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -10, -22, -38, -58, -82?\n\"Answer: -2*s**2 - 6*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose n + 13*p + 94 = 14*p, -285 = 3*n - 4*p. Which is smaller: -94 or n?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -583 = -34*n + 23*n. Solve 17*u - 32 = n for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -98*z + 816233 + 157103 = 0. Is z a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -49 - -35. Let n be j\/(-12)*(-3)\/(-21). Factor 0 + 1\/6*r**3 - 1\/3*r**2 + n*r**4 + 0*r.\nAnswer: r**2*(r - 1)*(r + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-610*y - 219*y - 580*y + 2)*(-5*y**3 + 3*y**3 + 4*y**3) to the form s*y**2 + c + g*y + z*y**3 + a*y**4 and give a.\nAnswer: -2818","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l = 10.5 - 15.4. Let o = l - 0.1. Let g = -1183\/15 + 79. What is the smallest value in o, 2\/7, g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -163 + 165. Suppose w*o = -2*r + 16566, -8*r + 33168 = -4*r - 5*o. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} {"text":"Question: Is 47501483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z + 6*z = -i + 28, 3*i - 3*z - 48 = 0. Let x(r) = 12*r**2 + 16*r**2 + i*r**2 + r**3 - 59*r**2 - 7. What is x(11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d - q = d - 10, 3*q - 15 = -d. Suppose 0 = 3*c + t - 32, 9*c + 40 = 13*c + 2*t. Suppose 15 = c*n - 9. Solve 0 = -3*f - 9, -3*f + 4 = d*l - n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1167 = -157*j - 89 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n = 930.76 + -949. Let j = n + 16.8. What is j rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = 16*d**2 - 6*d - 2. Let p be w(-3). Suppose p = 5*t - 0*t. What is the greatest common divisor of t and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = -2*v. Let p(i) = -i - 1. Let g = -2 + 7. Let d(c) = 2*c - 5. Let n(h) = g*p(h) - d(h). Determine b(n(u)).\nAnswer: 14*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 2 - -341?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*t - 4*q + 4 - 2, 0 = -t - q + 8. Suppose t*v - 243 = 2*v. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = z + 1. Let u(i) = -6*i - 3 - 5 - 2 + 6. Let b(m) = 4*a(m) + u(m). Let r(n) = 3*n. Calculate b(r(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -485*r + 486*r. Let b be r + (0 - (-140)\/77). Let f = -316\/5 + 64. What is the biggest value in 1\/2, b, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-4 - -16)*3\/12. Suppose -4*x - 17 = -v, -v - h*x - 6 = 12. Let j(u) = u - 3. Let m(y) = 2. Let o(t) = -3*j(t) - 4*m(t). What is o(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d and 1 b when two letters picked without replacement from doobrdorvdrobovbrovb?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in -5291, -9570, -11775, -10868, -5811, 4434?\nAnswer: 20905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 2934647a + 32?\nAnswer: 29346501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 28.26733 meters in kilometers?\nAnswer: 0.02826733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(2\/5)*s\/((s**(1\/7)*s)\/s))**37*(((s\/(s**(2\/15)*s))\/s)\/(s*(s*s**(1\/4))\/s))**(11\/5) assuming s is positive.\nAnswer: s**(86669\/2100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = 2*x**2 - 4*x + 5. Let m be g(2). Suppose -i - 2*i + m*h = -1623, 0 = -3*h. Is (i*1)\/((-16)\/(-16)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -152.252921 - 0.071079. Let a = d + 152. Let s = a - -0.024. Sort -0.4, s, -5, -2\/13 in ascending order.\nAnswer: -5, -0.4, s, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -27 + 20. Which is bigger: u or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w = 8017\/2 + -4008. Let b(j) be the first derivative of 0*j + 0*j**3 - 4\/3*j**6 + 0*j**4 + 0*j**5 + 11 - w*j**2. Find the second derivative of b(t) wrt t.\nAnswer: -160*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*g - 2*g - 1724*g**2 + 1747*g**2.\nAnswer: 23*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n = 46 - 42. Suppose -2*g + 0 + 8 = -2*a, -n = 3*g + 5*a. Suppose -57 = -g*l + 3*q, 5*q - 26 = -l - 4. What is the highest common factor of l and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 14 and 29172?\nAnswer: 204204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -207 + 155 + 52 - 8*v**3.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose p - 1005 = -4*t, 3689 = 5*p - 2*t - 1270. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose x + 4*x - 443 = -2*v, v - 224 = -3*x. Suppose -v*p + 20 = -204*p. Solve -8 = -4*h, -3*r - p = -4*h + 19 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.2 (b) -0.5 (c) 1\/2 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(539) + 0)**2.\nAnswer: 2156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 191934 (base 11) to base 2.\nAnswer: 1001000000101101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.5 + 150398.\nAnswer: 150397.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -58994, -117993, -176992?\n\"Answer: -58999*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify n**(-4\/3)*n**6\/n*n**(-2\/5)*n**(-12) assuming n is positive.\nAnswer: n**(-131\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-20319)\/(-507) + -40 - (2 + 452\/(-208)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 1068993963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b = -8 - -8. What is the nearest to -1\/4 in 3, b, 0.01?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*f - 5*f + 8. Suppose s + 40 = 3*y, 2*y - f*s = 5*y - 35. Suppose y = z + v, 4 = -z + 5*v + 23. Is 11 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2336 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w = -194 + 400. Let b = w - 69. Let k = b + 89. What is k rounded to the nearest 10?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3192787692.\nAnswer: 2, 3, 3284761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/5 - 13\/(585\/54)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-17920)\/1736)\/80)\/(-2).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 2, f: 4, e: 1, r: 1}. What is prob of sequence efr?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4706 + 0.4.\nAnswer: -4705.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/5? (a) 1 (b) -5\/7 (c) 217 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 16091*j**6 - 1660*j**2 - j wrt j?\nAnswer: 1930920*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 11322 - 11?\nAnswer: 11311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -4, -2, 8, 32, 76, 146, 248, 388?\n\"Answer: k**3 - 2*k**2 + k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = 2*v**3 - 8*v - 14*v**2 + 41 - 35 + 7*v. Let k be f(7). Which is bigger: k or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-88)\/(-14) - (-4)\/(-14). Let t(l) = 10*l - 5*l - 2*l**2 - b*l. What is t(2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 35023\/7 - 5049. Is l smaller than -47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -47 + 1025922.\nAnswer: 1025875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(175) + 1)*6)**2*-3 + -2 + ((6*(sqrt(175) + -1) - sqrt(175))**2 - (-6*(sqrt(175) + 0))**2).\nAnswer: -20899 - 1380*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1103 and 1.\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = 12*t**2. Let w(o) be the third derivative of 5\/24*o**4 - 5*o + 0 + 0*o**3 + 3*o**2. What is g(w(y))?\nAnswer: 300*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*c + l - 1 = 0, 2*l + 15 = -3*l for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z = 2245\/36 - 11117\/180. Determine p, given that 6\/5*p - 3\/5 - z*p**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:06 PM and 8:38 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2.98 - -0.02. Let m = -1 + x. Let f = 3 - m. Is 0.4 bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) be the second derivative of -46*k**6\/15 - 104*k**5\/5 - 140*k**4\/3 - 32*k**3 + 5787*k - 1. Find z such that n(z) = 0.\nAnswer: -2, -12\/23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -124*g*q - 1833*g with respect to q.\nAnswer: -124*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 3, -4\/15, 790, 2\/7, -230?\nAnswer: 790","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k be -4*(-4)\/16 - -4. Suppose -7*r + 76 = -k*r. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -169, 74, 4.\nAnswer: -169, 4, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 54 and 750249.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z = -37.7609935 - -37.771. Let v = -0.01 + z. What is v rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 122577428?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) be the first derivative of 0*m**2 + 188 + 0*m**3 + 27\/4*m**4 - 52*m. Find the first derivative of z(t) wrt t.\nAnswer: 81*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -16*k = 23*k - 32*k + 2*w + 2*w + 46, 0 = 2*w + 16 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x + 3*o + 12 = -x, 2*o = 3*x - 11. Find the third derivative of 2 + 5*p**x + 0 - 17*p**2 - 2 wrt p.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 4 - 3.5. Which is the second smallest value? (a) 4 (b) u (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -39 and -35 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 4896, 9803, 14710, 19617, 24524?\nAnswer: 29431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.26 - 4.04. Let z = s - -4.4. Which is the nearest to 1\/2? (a) z (b) -2\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 divided by 3850.\nAnswer: -1\/770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -2623458, -5246906, -7870354, -10493802, -13117250, -15740698?\n\"Answer: -2623448*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*y + 4*c - 3 = 0, -3*y - 179*c + 180*c - 6 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify j**(-14)*j*j*j*(j\/(j\/(j**(-1)*j)))\/j*j*j*j*(j**(5\/2))**(-12) assuming j is positive.\nAnswer: j**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = -c**2. Let p(t) = -3*t**2 - 6811. What is p(l(f))?\nAnswer: -3*f**4 - 6811","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1783*h**3 - 2*h**2 + 1786*h**3 + 4 - 2*h - 26 to the form p + m*h**3 + n*h**2 + c*h and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 47366 and 68896.\nAnswer: 757856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = -a**2 - 16*a - 22. Let i be f(-13). What is the second derivative of 20*v + i*v**3 + 6*v - 16*v wrt v?\nAnswer: 102*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (154\/(-10))\/11*(-1340)\/3484?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is (-4)\/12*(-11457)\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 325 - 321. Suppose -x*p + 185 = c, -p - 2*c - 2 + 57 = 0. Calculate the greatest common divisor of 18 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*-1*-3*sqrt(204))\/(-1*sqrt(1200)*3)*-1.\nAnswer: -3*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*d - 4*s + 24 = 0, 5*d + 3*s + 2*s - 10 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3\/13? (a) 5 (b) 2 (c) -0.4 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand 1 - 1 - v - 5*v - 15*v + 2*v + (0*v - 4*v + 3*v)*(-4 + 3 - 1) - 2*v - v + 4*v - 2*v + 0*v + 3*v.\nAnswer: -15*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 151, 157, 163, 169, 175?\n\"Answer: 6*x + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = 106*m + 44. Let a(g) = 318*g + 115. Determine -3*a(z) + 8*i(z).\nAnswer: -106*z + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.05 - -1.95. Suppose w + 330 = 4*b - w, 3*b - 245 = 4*w. Suppose 0 = -88*r + b*r + 20. Sort 2\/3, r, s in ascending order.\nAnswer: 2\/3, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 6\/10*1\/1*-1. Which is the smallest value? (a) -1.3 (b) o (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zg when two letters picked without replacement from zgewx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00177791395 to 7 dps.\nAnswer: 0.0017779","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 25152\/240 + -74 + -34.\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -192 - -570. Let d be -3*(10 - (-16 - -44)). What is the highest common divisor of r and d?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 651032 (base 7) to base 16\nAnswer: 1ba3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(2\/25))**33\/(g**(-30)*g*g*g*((g**(-26)*g)\/g)\/g) assuming g is positive.\nAnswer: g**(1416\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h be -1 + (-4)\/(-4) + 750. Suppose -h = -2*o + 7*o. Is (-12 + 13)*(-1 - o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 61\/2349585 and 62\/783195.\nAnswer: 2349585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = 12*r + 29*r + 16*r - 20*r. Let w(l) = -7*l + 9. Let m(a) = -8*a + 12. Let x(j) = -3*m(j) + 4*w(j). What is y(x(b))?\nAnswer: -148*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 3b9 - -1?\nAnswer: 3ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-7)\/280*-24)\/((-3)\/4))\/(375060\/(-2350)).\nAnswer: 2\/399","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 0 - q - 1\/2*q**2.\nAnswer: -q*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be -2 + 2 - (-2)\/4. Let j = -2.9 + -0.1. Let h = 1 - 1.5. What is the third biggest value in z, h, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*v + 30 = 8*x - 12*x, -v + 13 = -3*x for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g be 15\/(-6) + 1 - (-62)\/4. Suppose 0 = -6*t + g + 34. Solve -231*s**4 + 10*s**3 + 18*s + 234*s**4 + 33*s**2 + t*s**3 = 0 for s.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xxoxoruuxb. What is prob of picking 1 r and 1 b?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c - 3 = 15. Is c at least 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -625 + 643. Suppose -5*p = -g + 1, -2*g - p - x = -9. Sort 2, g, -3 in decreasing order.\nAnswer: 2, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4744196267.\nAnswer: 38167, 124301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -869*j**3*v - 7*j**3 - 2*j**2*v - 260*j*v - 7*v wrt j?\nAnswer: -5214*j*v - 42*j - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor -16\/7 + 198\/7*y**2 + 52\/7*y.\nAnswer: 2*(9*y + 4)*(11*y - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 210064689 to the nearest integer?\nAnswer: 14494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -j. Let k(d) = 2695*d**2 + 13041. Calculate k(l(h)).\nAnswer: 2695*h**2 + 13041","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 408 and 17646.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 28*p - 164*p + 3655 - 1207 = 0 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u + 0 = -5*a + 5, 35 = -5*a + 5*u. Let o be a\/(-5) - 90\/(-25). What is the third derivative of 3*j**2 + 0*j**6 - j**o + j**4 - 2*j**6 wrt j?\nAnswer: -240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-1073399)\/(-39) + (-26)\/507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1 - -1. Suppose -y + a + 3 = 0. Suppose -v - 3*v = -3*p - 449, y*v + 4*p = 343. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 25027 is divided by 291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 221886 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j be 15\/(-20) + (-13)\/(-12). Let o = -0.238 + 26.038. Let g = o + -28.8. Which is the biggest value? (a) j (b) g (c) 2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*s - 21*s = -33. What are the prime factors of s?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 687, 2484, 5413, 9474?\nAnswer: 14667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sg when two letters picked without replacement from {g: 1, r: 4, s: 5}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.3 + 58.82687.\nAnswer: 59.12687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 0.110439 - 15.0108?\nAnswer: -14.900361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-23 - 5) + -13 + 32.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 2631 a factor of 479218563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 958959.9 kilometers in millimeters?\nAnswer: 958959900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -556 (base 8) to base 2\nAnswer: -101101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (50792\/(-462) - -102) + -16*(-4)\/8.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -120 + 125.1. Let a = 30.1 - s. Let u = a - 24.23. Round u to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -402, -4 in decreasing order.\nAnswer: 0, -4, -402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify t**(-4\/7)*t\/t**(-1\/2)*t*t**(-4)\/(t*(t*t**(-3\/2)*t)\/t*t*t) assuming t is positive.\nAnswer: t**(-32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -10691*a - 1128*a**3 - 2051*a - 70*a**4 + 2*a**5 - 5536*a**2 + 2118*a - 6144 = 0 for a.\nAnswer: -4, -1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (((0 - 2) + 2)\/(-1))\/(-1). Let -1718*o - 5*o**3 + l + 0 - 30*o**2 + 1673*o = 0. Calculate o.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.5 take away -765773787?\nAnswer: 765773786.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**1*b*b*b**5)**(-20)*((b\/b**(-3\/4))\/(b\/(b*b\/b**7)))**(-18) assuming b is positive.\nAnswer: b**(-167\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -4*t + 42. Let c be r(10). Solve -u + v = -2, -v + c*v = 2*u - 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -349.0123 + 0.0123. Let w = -354 - v. Sort 3\/5, 5, -1\/2, w in descending order.\nAnswer: 5, 3\/5, -1\/2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -6273 divided by 2091\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ceb when three letters picked without replacement from {e: 3, b: 2, c: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j = 20 + -17. Suppose -4*b - j*x - 17 = 0, b - 2*x + 7 = -0*b. Put 1, b, -2, 24 in decreasing order.\nAnswer: 24, 1, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: (-3105)\/11040*-6*(-2 - (-40)\/18)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-12)\/(0 - 2) - 2. Suppose t = 13 - 109. Let r be 1\/2*t\/(-2). Solve 2*i = 10, u - r = 5*f - 5*i for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -n - 3 = 2*l - 4*l, -4*n - 3 = -5*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z = 37 + -23. Suppose 0 = -4*g - 2*y - 2, -5*g - y = -2*g. Calculate the remainder when 27 + -4*((-6)\/(-4) - g) is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 6326 + -6145. Calculate the remainder when l is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10927653.\nAnswer: 3, 11, 331141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -531 (base 10) in base 5?\nAnswer: -4111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 181488 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*d + 5*c + 12 + 4, -3*d - 3*c = 0. Let g(p) = p**3 - 4*p**2 + p - 1. Give g(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-4 + 1 + 4)*(0*x - 4*x + 2*x) - 3*x + 3*x + x)*(-x + 4*x - 2*x + (-5 + 2 + 5)*(4*x - 3*x + x)).\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -4\/13211407?\nAnswer: -4\/13211407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose v = -d + 34 - 10, 3*v - 3*d - 54 = 0. Let w = -17 + v. Suppose 2*m - 43 = -w*g - m, -m = -1. Calculate the highest common divisor of 50 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f - 2*k + 116 = 0, 0 = 5*f - f - k - 237. Suppose -3*n - f = -56. Sort n, 22, -4.\nAnswer: -4, n, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 5, i: 2, g: 3}. Give prob of picking 2 g and 1 y.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 458 minutes after 6:23 PM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = -12*z + 1187. Let u(y) = 5*y - 1. Determine j(i) + 2*u(i).\nAnswer: -2*i + 1185","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} {"text":"Question: Let y(k) = 4*k**2 + 7*k + 2. Let t(i) = 4*i**2 + 6*i + 2. What is 6*t(v) - 5*y(v)?\nAnswer: 4*v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) be the first derivative of 14*k + 10 - 171*k**4 + k**5 + 171*k**4. Find the first derivative of y(s) wrt s.\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*t - 5 = -k, -31*t = -27*t - 3*k + 15 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*l + 45 = 4*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1.21094 + -0.21094. What is the third smallest value in 1195, -4, m?\nAnswer: 1195","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 45989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 75186557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = 16*b + 13. Let o(z) = -2*z. What is o(f(c))?\nAnswer: -32*c - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) be the second derivative of 0*q**2 + 0*q**4 + 0 + 1\/5*q**6 + 28\/3*q**3 - 121*q - 1\/7*q**7 + 0*q**5. What is the second derivative of d(z) wrt z?\nAnswer: -120*z**3 + 72*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:34 AM and 6:18 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -w. Let a(h) = -h**2 + 7*h - 7. Let z(d) = d**2 - 5*d + 5. Let f(q) = 5*a(q) + 7*z(q). Give f(j(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h - 13 = i, 7 + 17 = 2*i + 4*h. Find the third derivative of 2*b**i - 27*b**3 + 8*b**3 - 2*b + 3*b**3 - 5*b**2 - 5*b**3 wrt b.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = w**2 - 1593*w + 100647. What is t(66)?\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert -17 (base 10) to base 7.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s be 0*-1*(2 - 3). Suppose -3*g + 2928 = 3*k, s*g + 5 = g. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.15542 - -1.84458. Put u, -0.06, 0.3, -32 in increasing order.\nAnswer: -32, -0.06, 0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**4)**(-13\/4)\/(g\/(g\/(g*(g*g**(-1\/3))\/g*g)))**(-10) assuming g is positive.\nAnswer: g**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 341 is divided by 275?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*y - 12 + 3. Let z = -1405 + 1404. What is the nearest to z in -7, 4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3760129559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 3 divided by -179381634?\nAnswer: -1\/59793878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -22415, -22430, -22425, -22382, -22283, -22110, -21845?\n\"Answer: 3*q**3 - 8*q**2 - 12*q - 22398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.0411? (a) -2 (b) -2\/11 (c) 6349\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -15 + 37 - 22 + 139*o.\nAnswer: 139*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is -865264 >= -866510?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -33 + 9*l + 33.\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify l*l\/(l*l*l**8)*l\/l**(-11) assuming l is positive.\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2*s**4 + 701962*s**3 - s**2 + 5915623 with respect to s.\nAnswer: -8*s**3 + 2105886*s**2 - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = -2*j. Let q(p) = -4 + 2 + 4*p - 1 - 1. Let x(t) = -t**2 - 3*t + 3. Let n(r) = 3*q(r) + 4*x(r). Give n(m(k)).\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 3857 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) be the third derivative of -p**5\/12 + 35*p**4\/6 - 45*p**3\/2 + p**2 - p. What is j in u(j) = 0?\nAnswer: 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 26772 is divided by 225.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n = 8.45 - -0.05. Let m = -7.756 + n. Round m to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 270, 1117, 2538, 4539, 7126, 10305?\nAnswer: 14082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = 15*v - 394. Determine l(29).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 72897084 and 252?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = 44*t**3 - 11*t**2. Let c(q) = 15*q**3 - 4*q**2. What is -11*c(x) + 4*r(x)?\nAnswer: 11*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 259 divide 135441460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -103, -105, -117, -145, -195?\nAnswer: -273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 56182*w + 233142 wrt w.\nAnswer: 56182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -1364, -2753, -4138, -5519, -6896, -8269?\n\"Answer: 2*q**2 - 1395*q + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express 229*j**2 + 257*j**2 + 8*j - 125*j**2 - 8*j as g + d*j + i*j**2 and give i.\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 0, -37, -29.\nAnswer: -37, -29, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = m**2 - 5*m - 10. Let y(w) = -2*w + 21. Let n be y(0). Let c = n - 14. Calculate g(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11209.\nAnswer: 11, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u = 4 - 3. Suppose 0 = -5*z - 4*x - u + 7, 0 = -3*z - 2*x + 4. Calculate the lowest common multiple of z and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 2688 - 2689. What is the nearest to -1 in z, 2, 1, 2\/11?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d + x + 1758 = 0, -d + 3*x = 4*x - 873. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -22859, -45614, -68369, -91124, -113879, -136634?\nAnswer: -159389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -47\/55, -0.03, -827\/3, 1, -2, -0.4?\nAnswer: -827\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = 4*j + 1. Solve 0 = 3*u + 5*f + 9 + 11, -4 = j*u + f for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2.63 + -6.63. Let q = -28 - -22. What is the fourth biggest value in q, 2\/11, m, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 42584.54 milligrams in tonnes?\nAnswer: 0.00004258454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-17)\/(-36) - (-4)\/(-16). Let i be 10 + -1 + 26\/52 + -10. Which is the second biggest value? (a) i (b) 3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -268, -302, -334, -364, -392?\n\"Answer: i**2 - 37*i - 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 2 (b) 0.1 (c) -6\/5 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1113073 or -1113076?\nAnswer: -1113076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 814 and 38139970?\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i = -11 + 2. Let a = i - -48. Let d = a - 26. Calculate the remainder when d is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) -15\/5353 (b) -3 (c) 0.2 (d) 31 (e) 6 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 128 a factor of 5 + -12 + 8 - -6*453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5 + 0*c + 2*c**2 - 9 - 2*c to the form u + h*c**2 + b*c and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 23742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8995\/(-105) - -32 - ((-528)\/144 - 4\/(-1))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -12 + 76*p + 23 - 272*p - 12 + (2*p + 0*p - 4*p)*(0 + 0 + 3) to w + h*p and give h.\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4241 + 4240 + 4230 + 5501 - 18212 + 3*q**2.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + (sqrt(405) + 1)*-5 - (sqrt(405)*1 + -5 + -5))**2.\nAnswer: -540*sqrt(5) + 14605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -c**4 + 14494*c**3 - 9*c**2 + c + 616 wrt c.\nAnswer: -24*c + 86964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w = 3.18 - 2.88. Which is the second biggest value? (a) w (b) -3 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -5, -11.3, 0.4, 0, -43\/18?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort 6, -280, -2, 8, -1, 4 in decreasing order.\nAnswer: 8, 6, 4, -1, -2, -280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express (1 - 3*y**2 - 1)*(-2*y**2 + 2*y**2 - 3*y**2) as k*y**2 + g + b*y**4 + a*y + x*y**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3745 = -11*g + 41386 + 33386. What are the prime factors of g?\nAnswer: 11, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -16 - -3616?\nAnswer: 3600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = x**2 - 40*x + 266. Let s be n(34). Solve s*l = 59*l - 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5735466929 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 807, 4, 2 in increasing order.\nAnswer: 0, 2, 4, 807","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 6786 and 10701.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Are 1831 and 1832 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-39)\/(-650) - (-677008)\/(-136800).\nAnswer: -44\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 99361*y**2 + 11*y**3 - 49098*y**2 - 50263*y**2.\nAnswer: 11*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -i**3 - 2*i - 6*i**3 + 2*i**3 + 4*i**3 wrt i?\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -277*u**3 + 2*u**2 + 2*u + 1. Is 8 a factor of c(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -q + 5. Suppose -2*b + 5*d - 1 = 4, 4 = 4*b + 4*d. Suppose b = 11*y - 12*y + 32. Calculate the smallest common multiple of y and q.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1.5, 3\/7, 0 in descending order.\nAnswer: 3\/7, 0, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qjje. Give prob of sequence ejj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = 12*a**2 - 45*a - 9. Let v(j) = -3*j**2 + 11*j + 2. Let q(p) = -5*h(p) - 21*v(p). Factor q(t).\nAnswer: 3*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n**5 - 588*n**4 - 28422*n**3 - 126908*n**2 + 8428608*n + 8527680 = 0. Calculate n.\nAnswer: -235, -36, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Determine y, given that 14*y**2 + 363357*y + 25954 = 0.\nAnswer: -25954, -1\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor -87 - 263\/2*j - 45*j**2 - 1\/2*j**3.\nAnswer: -(j + 1)*(j + 2)*(j + 87)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) be the second derivative of -s**10\/6048 + s**6\/720 + s**4\/2 - 5*s. Let y(a) be the third derivative of c(a). Find the second derivative of y(t) wrt t.\nAnswer: -100*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -56122 divided by -2551.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort 22, 0, 734541 in decreasing order.\nAnswer: 734541, 22, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 10663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -6, 5, -3 in increasing order.\nAnswer: -6, -5, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -188752636, -377505271, -566257906?\n\"Answer: -188752635*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose u + 5*d = 276258, -4*u + 2*d = -1859389 + 754379. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nozn when four letters picked without replacement from irornrmoornomnrzm.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -h - 7. Let x be j(-5). Let g be x\/17 + 128\/510. What is the third biggest value in g, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 21.3 (b) -2 (c) -0.518 (d) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -125533, -251049, -376551, -502033, -627489, -752913?\n\"Answer: t**3 + t**2 - 125526*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = 2*s**3 - 2*s**2 - 8*s + 11. Let t be f(2). Let v(o) be the second derivative of 0 - 49\/2*o**2 - 16*o - 1\/12*o**4 + 7\/3*o**t. Factor v(j).\nAnswer: -(j - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + 18 + -22 + -4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 55362506022063+0.3\nAnswer: 55362506022063.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 51\/112 and 37\/11?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/7? (a) -1\/2 (b) -0.2 (c) 48.44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -209957*b = -209619*b + 21632 for b.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 0 - -1325?\nAnswer: 1325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of ((-52)\/(-8))\/(8\/176) and 13.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 7, 2\/3797, 1\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is (-289 + -4)*(-2 - -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -132\/5 - -26. What is the nearest to j in 5, 4, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -82, -97, -126, -175, -250, -357, -502?\n\"Answer: -n**3 - n**2 - 5*n - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*b**3 + 988*b**2 + 128640*b + 1612800 = 0.\nAnswer: -240, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = 1. Let p(z) = -2*z - 50. Determine -2*l(g) + p(g).\nAnswer: -2*g - 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: (44\/77)\/((-2)\/28)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -115*u**4 - 3003*u**3 - 49*u**2 - 696905685 wrt u.\nAnswer: -460*u**3 - 9009*u**2 - 98*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1\/4)\/((-243)\/2052*-19)*-16.\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + 3*sqrt(108).\nAnswer: 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 28\/34*(-46)\/161?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 92 minutes after 11:10 AM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 65*t + 28 - 14 - 11 + 56*t + 184*t.\nAnswer: 305*t + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 7 + 0)*(-h - 2 + 2)*(-38 - 99*h + 88*h + 36).\nAnswer: -33*h**2 - 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = 8*s**4 - 52*s**3 - 172*s**2 - 75*s + 6. Let q(x) = 24*x**4 - 156*x**3 - 516*x**2 - 224*x + 16. Let v(o) = -8*n(o) + 3*q(o). Factor v(h).\nAnswer: 4*h*(h - 9)*(h + 2)*(2*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1792*h + 19760 = -6807 - 28985 for h.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put -15, 1, -3, -4, -13, 13 in descending order.\nAnswer: 13, 1, -3, -4, -13, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:01 AM and 6:02 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round -0.07069865 to 4 decimal places.\nAnswer: -0.0707","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -210*o**4*z - 228*o**3*z - 2*o**2 + 29889*o*z - 2*z wrt o?\nAnswer: -5040*o*z - 1368*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = 110*o + 3. Determine d(2).\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3\/90*(27\/(-12))\/((-60)\/(-40)).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -3339 divided by -7\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 25883, 51778, 77673?\n\"Answer: 25895*a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.2 - 0.4. Let y = -11.8 + -3.2. Let i = y - -15. What is the third smallest value in z, i, -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -33244315 (base 7) in base 12?\nAnswer: -b63ab1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Total of 99.4514 and -9476.376.\nAnswer: -9376.9246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x + 3*o = 52, 20 = 2*x + 3*x - 5*o. Solve -b + 5*b = x for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 9 in -1, 1022, -0.4, -3\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 337638815 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c = 8 + 4. Suppose 3*w - 141 = -c*q, 5*q + 2*w + 2*w = 175. Suppose -2*r = r - q. Does 8 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be -5 + 4\/1 + -1. Let m be 3 - (111\/21 + y). Let n be 0 + 0 + (-1)\/(-3). What is the closest to 0.2 in -2\/3, n, m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -17407320, -34814667, -52222014, -69629361?\n\"Answer: -17407347*g + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = p**3 + 26*p**2 - 154*p + 77. Let g be b(-31). What is the greatest common factor of 8303 and g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 729456 or -1\/11?\nAnswer: 729456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (q**2 + q**2 - 3*q**2)*(3 - 5 + 5)*(-q + 0*q + 5*q) - 1127*q**3 + 13*q**2 - 81*q + 1128*q**3 - 11*q**2.\nAnswer: -11*q**3 + 2*q**2 - 81*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z = -466 + 462. Which is the biggest value? (a) -63 (b) z (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in one fifth of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*a + p - 144539, 6*a - 46*p + 48*p = 173446. Is a a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -27 - -30. Solve 0 = c - r*c - 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -1, 8, 9 in descending order.\nAnswer: 9, 8, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = -4*t**3 - 2*t + 2. What are the prime factors of f(-3)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.0876 - 3.9124. Which is the fifth smallest value? (a) -2 (b) 0.5 (c) 0.3 (d) 0.08 (e) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:58 PM and 8:46 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 184704 and 8198016.\nAnswer: 106574208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 6761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is -228 greater than -235?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -20304415 - 203?\nAnswer: -20305022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o be 72\/30 + (-2)\/5. Let p(i) = i + o*i + 0*i. Let v(c) = -3*c. Give p(v(f)).\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -407*m**3 + 2*m**2 + 52*m + 3. Let k(p) = 406*p**3 - 3*p**2 - 53*p - 4. Let y(i) = -3*k(i) - 4*x(i). Find the third derivative of y(g) wrt g.\nAnswer: 2460","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) be the first derivative of 225*a**6\/2 - 110*a**2 - 2*a + 362. What is the second derivative of l(u) wrt u?\nAnswer: 13500*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k + 6*k = 0. Suppose 2*b + 3*f - 32 = -k*b, -4*f - 27 = -b. Suppose 4*o = -2*d + 50, 2*d - 30 = -2*o + 14. Is b <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 96 and 120.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 36961200*z**3 + z**2 + 835198*z - 180 wrt z.\nAnswer: 221767200*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 3674*s**4 - 9*s**3 - 82*s**2 + 5*s?\nAnswer: 88176*s - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 l when two letters picked without replacement from lillmmmlssimmslsmm?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -171 + -6cc?\nAnswer: -84d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -941090*n**3*x**3 + 6072*n**2*x**3 + 38*n**2 - n*x**3 wrt n.\nAnswer: -5646540*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u = -34 + 28. Let p(l) = 4*l**2 - 2*l. Is 26 a factor of p(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + 2*((sqrt(1088) + 2)*1)**2.\nAnswer: 64*sqrt(17) + 2181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 42985463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 108\/2057501?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (13 - 1 + 0)*(-3*c + 4*c - 12*c) - 7 - 10 + 110*c + 17 to the form d + f*c and give f.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 109*t**2 + 172*t**2 - 316*t**2 + 136*t**2.\nAnswer: 101*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(1\/3)\/t**(-9)*(t*t**(-13))**10)**17 assuming t is positive.\nAnswer: t**(-5644\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j = -87.205 + 87. Let k = j + -1.735. Let y = -2 - k. Round y to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.63 * -50.\nAnswer: 31.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = h**2 + 6*h + 12. Let l be m(-3). Let b(t) = -t**3 + 2*t**2 + 4*t + 4. Let j be b(l). Sort j, -10, 0 in increasing order.\nAnswer: -10, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hgnhngqgvqqhqngvvgg. What is prob of sequence hv?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -59240 divided by 1\nAnswer: -59240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 168 and 10890?\nAnswer: 304920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 21 divide 19626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*j = 3*z - 3 - 0, -5*z + 5*j = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve z**4 - 1101*z**3 - 7756*z**2 = 0 for z.\nAnswer: -7, 0, 1108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 3 + 6*d**2)*(0*d**2 + 4*d**2 - 3*d**2 + (2*d - 3 + 3)*(-d - 3 + 3) + 3*d**2 + 2*d**2 - 3*d**2 + d**2 + 0*d**2 + d**2 + d**2 + 0*d**2 + 0*d**2).\nAnswer: 24*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) be the first derivative of -s**4\/28 - s**3\/21 + 6*s**2\/7 - 111. Let x(k) = 0. What is k?\nAnswer: -4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (184\/10)\/(111\/5). Let x = r - 6\/37. Let q = 1 + 0. Is q >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*k - 5*l = 23, 2028*k - 4055*k + 2030*k + 2*l + 18 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.01 + 1.19. Let k = 91 + -102.9. Let d = k - -12. Which is greater: h or d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -j + 8. Let b be k(4). Suppose 48 = 3*p - 3*s, -b*p - 2*s - 3*s = -100. Solve 2*m + 3*m = -p for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 39*o**2 - 1940*o + 1940*o + (0*o - 2*o + 3*o)*(-1 - 5 + 1)*(-3 + 42*o + 1 - 44*o).\nAnswer: 49*o**2 + 10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 470 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (v - v + v)*(281 - 755 + 301).\nAnswer: -173*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = -a**3 + a**2 - 1. Let c(w) = -5*w**3 + w**2 + w. Suppose -5*s = -2*p - 5 + 1, -2*s = 3*p + 6. Give p*x(m) + c(m).\nAnswer: -3*m**3 - m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 + (1 - 4) - 5888\/(-1564).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 6524\/(-308) + (-2)\/(-11). Let o = 41 + b. Let c(p) = p**2 - 18*p - 35. Calculate the lowest common multiple of c(o) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -122103*j + 122401*j = -17582 for j.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 42, 329, 616, 903, 1190?\n\"Answer: 287*v - 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 127\/34, -0.4.\nAnswer: -0.4, 3, 127\/34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 115698 divided by 2\nAnswer: 57849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 b and 1 k when two letters picked without replacement from {b: 3, k: 1, j: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -71\/198 and -19\/2934?\nAnswer: 32274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 78 is divided by 33?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert -13 (base 15) to base 7.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 59568 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 19584.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 1289831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d + 318 = 5*p, 0 = 2*d + 6*p - 4*p - 216. Let r be (308\/3)\/(-4)*3. Let v = r + d. List the prime factors of v.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -3669 + 3897. What is the least common multiple of 6 and f?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-a**2 - 1 + 1)*(7 + 0 - 10 + (1 - 4 + 2)*(-1 - 1 + 5) + 0 + 0 - 1) to the form q*a**2 + i + m*a and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i be (4 - 0) + (-102)\/27. Let o = -0.581 + -1.419. What is the nearest to o in i, 1\/2, 0, 4\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 4\/14 - 873\/(-7). Suppose 4 = x, 94 = 5*o + x - t. Does 13 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -98 = 20*f - 138 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i = -5*m - 6, i - 6 = 4*m + 4*i. Suppose 15*r + 4*r - 399 = m. Let q(b) = b**2 - b - 1. Calculate the remainder when q(7) is divided by r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -87*f - 1218. Let b be q(-14). Let p(v) = v**3 + 2*v**2 + v - 11. What is p(b)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((250580\/(-2057))\/(-134))\/(((-15)\/2)\/(-3))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = -3 + 5. Let p(o) = 2*o**2 - 3*o. Let k be p(j). Is 6 a factor of (-91)\/(-5) - k\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*p - p - 3. Suppose -5*d = 2*r - p, 0 + 5 = -5*r. Let l be (11 - (-376)\/(-16))*(1 - -2)*4\/(-30). Calculate the greatest common divisor of d and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -x**3 - 5*x**2 + 5*x - 1. Does 52 divide f(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -674 + 407 = -64*o + 629 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4758)\/(-130) - 245\/(-175).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*n**2 - 5*n**2 + 9*n**2 + (-4 + 2 + 1)*(n**2 + 2*n - 2*n) + n**2 - n**2 - n**2 + (n - 2 + 2)*(0*n - 3*n + 4*n) - 2*n**2 - 2*n**2 + 2*n**2)*(1 + 7 + 1).\nAnswer: 63*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -492 and -6?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = 26*i**2 + 14*i - 11. Let b(l) = -9*l**2 - 5*l + 4. What is 11*b(v) + 4*q(v)?\nAnswer: 5*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(204)*2 + sqrt(204))*-2 + (sqrt(204) + sqrt(204) + 5*sqrt(204) - sqrt(204))*-1)\/(-3*sqrt(768) - 3*sqrt(588)).\nAnswer: 4*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00040536839 to 7 dps.\nAnswer: 0.0004054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 61873560?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*c + 10*c + 6 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a = -73 - -69. Sort a, -3\/11, 0, 0.01 in descending order.\nAnswer: 0.01, 0, -3\/11, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -167 - -365. Let h be (-4)\/(-10) - f\/45. Is (1017\/18)\/((-2)\/h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-17)\/((-2431)\/104))\/((-668)\/(-11022))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -50, -63, -86, -125, -186, -275?\nAnswer: -398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is -1 <= -3\/2709284?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = n**3 - 10*n**2 - 11*n + 8. Determine r(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 66 and 11077?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -19? (a) 15.5 (b) -1 (c) 11 (d) 10.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.8521 - -0.4521. What is the nearest to 1\/3 in -7\/3, m, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) be the first derivative of 0*g + 1\/4*g**3 + 3\/4*g**2 - 3\/16*g**4 - 73. Factor u(h).\nAnswer: -3*h*(h - 2)*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does -4323181 = -4323180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.1 - 0.1. Let d = i - 0.3. Let q = -1.5 - d. What is the second smallest value in q, 4\/5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 296 minutes before 10:45 PM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = -20*q - 1237. Calculate z(-63).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -3*i**2 - 67*i + 10. Let q(x) = -x**2. Give a(q(h)).\nAnswer: -3*h**4 + 67*h**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r - 4*a - 80 = 0, -195*r + 54 = -198*r + 3*a. What is the second smallest value in r, -0.09, 0.24?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -20 - -34. Suppose -152 = -x*c + 16. Suppose 0 = -c*n + 11*n + 42. What is the lowest common multiple of 3 and n?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-8)\/3*85\/34*(-24)\/20?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 73\/5, 0, 39\/5, 107 in decreasing order.\nAnswer: 107, 73\/5, 39\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -32*d - 1 + 57*d + d**3 + 4*d**2 - 1 - 8 - 33*d. Give f(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence itit when four letters picked without replacement from itiiiiiitiii.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6813955669.\nAnswer: 2531, 2692199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: ((15 - (-115)\/10) + -4)*(-100)\/30\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 229470 and 300?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*p = 2*p + 348. Suppose 0 = 3*j + 46 - p. Solve 0 = -o - 1 + j for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) be the second derivative of -o**3\/3 + o**2\/2 + o. Let r be x(-7). Calculate the common denominator of ((-28)\/(-3))\/((-18)\/r) and 27\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1.766 + -5.766. Which is the nearest to 0.01? (a) -5\/2 (b) -3\/7 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 456513 is divided by 456470?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find x such that -2*x**2\/9 - 24052*x - 72154 = 0.\nAnswer: -108231, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 17*u - 20 - 54 = -4*b + 46, 0 = 2*b + 8 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*sqrt(209)*-1*1*5)\/(-5*-1*sqrt(1584)*3).\nAnswer: sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -133 + 72 + 61 + n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ol when two letters picked without replacement from loaazaealaobzza?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 6511 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2431216198?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8 + (-11 + 11 - 10) + 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i = -2.89 + -0.11. Let t = i + -1. What is the third biggest value in -1\/2, -3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 54253 - 62228163\/1147. Find the common denominator of x and 52\/93.\nAnswer: 3441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 161, 164, 167, 170, 173, 176?\nAnswer: 179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = 4*p**3 + 2*p**2 - 3*p + 4. Let w be b(3). Let z = 95 + -10. Suppose j = 3*j + 5*n - z, 3*j + n - w = 0. Is 20 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 1, y: 4, w: 9}. Give prob of sequence ww.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -2404 divided by -1\nAnswer: 2404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = 2*n**2 + 27*n - 41. Determine g(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from niiiiiiiruiugf. Give prob of sequence frng.\nAnswer: 1\/24024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in -332853, -332847, -332843, -332841, -332841, -332843?\nAnswer: -332847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-25344)\/(-2912) - (-4)\/26. Let g = 131\/14 - n. Factor 0*a + a**2 - 1\/2*a**4 - g + 0*a**3.\nAnswer: -(a - 1)**2*(a + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*i + i - 6 = 0. Let j(v) = v**2 - 5*v - 2. Let g be j(i). Solve 1 = -5*w - g for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 2418.355 millennia?\nAnswer: 29020260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = -16 + 9. Let q = -4 - -43. Let i be q\/70 + b\/14. Is i > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1842448273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is (-543)\/(-1810) + 214\/20?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) be the first derivative of -i**9\/1008 + 3*i**8\/560 - i**6\/30 + 19*i**3\/3 - 26. Let t(x) be the third derivative of u(x). Factor t(y).\nAnswer: -3*y**2*(y - 2)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (12\/(-11))\/((-2)\/11). Calculate the highest common factor of x and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = z**3 - 16*z**2 - 25*z + 61. What is x(16)?\nAnswer: -339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 49599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -3563783*b**2 - 24. Let i(m) = -2*m. What is i(r(z))?\nAnswer: 7127566*z**2 + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 36 and 3298356?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round -0.04019173254 to 6 dps.\nAnswer: -0.040192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 64 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(6\/5)*x)\/(x*x*x**0)*x**(-7\/2)*x*x*x**(-6)*(x\/(x**(2\/9)\/x)*x*x*x*x**(-2\/23))\/((x\/((x*x**(-5\/3)*x)\/x))\/(x*x*x**(1\/4)*x)) assuming x is positive.\nAnswer: x**(-4247\/4140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 11365 and 9.\nAnswer: 102285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is -1 + (18\/15 - (-2357064)\/30) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -44 = 5*w - 74. Sort w, -3, 1 in descending order.\nAnswer: w, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.038 - 4.762. Let d = -5 - k. What is the nearest to d in 0.4, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7957040 - 14*j - 7957040.\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round -8243.808 to the nearest 10.\nAnswer: -8240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2733 + 2736. Let c(m) = -m**2 + 4. Let y(t) = -3*t**2 + t + 9. What is g*y(x) - 7*c(x)?\nAnswer: -2*x**2 + 3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 = 2*c + 24. Let v = -16 - c. Let i(j) = j**2 + 20*j + 81. Let l be i(-5). Which is smaller: v or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -0.3, -17\/6, -2\/7, -21.042, 0.1, -2\/13?\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -151 = -3*o - 55. Calculate the remainder when 123 is divided by o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.5, -3\/7, -0.275, -1?\nAnswer: -0.275","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -791*z - j - 30 = -789*z, 2*j + 21 = -z for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -200222121 - -11?\nAnswer: -200222110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 1982 divide 40308991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -82, 0, 31, -3 in descending order.\nAnswer: 31, 0, -3, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3706501, 7413337, 11120159, 14826961, 18533737, 22240481, 25947187, 29653849?\nAnswer: 33360461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -1.6 (b) -0.044 (c) -167 (d) -5 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13 + 7 = -3*t. Suppose 2*z = -3*z - 5*i + 185, i - 79 = -t*z. Let q = z + -25. List the prime factors of q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 0.08 and -257.6814.\nAnswer: -257.6014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 4671137063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1*-2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 459 minutes before 4:15 PM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -44325 + -0.2\nAnswer: -44325.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f be (6\/4)\/((-6)\/(-20)). Let j = 86293\/7044 - 1\/1761. Suppose 1 + 17\/4*x**2 - 73\/4*x**3 - 21\/4*x**4 + 6*x + j*x**f = 0. What is x?\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*u - 1758 = -6*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 0.02 (b) -2\/13 (c) -2\/3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) be the third derivative of -x**5\/40 + 2*x**3 + 4*x**2. Let w(f) be the first derivative of s(f). Let r(o) = 7*o**2. Calculate w(r(m)).\nAnswer: -21*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -4 divided by 991?\nAnswer: -4\/991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -5 + -422?\nAnswer: -427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*z + 4*t - 0*t + 22, 2*z - 3*t - 13 = 0. Let s = 6 - 10. Which is the biggest value? (a) -3 (b) s (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:39 PM and 8:05 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 4255 and 148.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -858 + 804 = -9*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k + 2*k = 2, v + 4 = -2*k. Suppose v = -4*c - 3*z - 9, -3*c + 15 = -0*z - 5*z. Find h, given that 1\/4*h + c + 1\/4*h**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*g + 7*g + 49 = 25*o - 27*o, -19*o = -8*o + 2*g + 244 for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x = -15 + -37. Let q = x + 54. Suppose 190 = q*i + 2*w - 40, 2*w = 8. List the prime factors of i.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 57631 + -221?\nAnswer: 57410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 6216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 47760935 to the nearest integer?\nAnswer: 6911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2729 is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 divided by 1723.\nAnswer: -4\/1723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*z = -3*a - 4*z - 16, -3 = -a + z for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((4\/(-1))\/2)\/(936\/6624*-46)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -5 + 18 + 4 - ((-57 + 13 - -19) + 10).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mdgd when four letters picked without replacement from dlggdgmggqmlmkg.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 19827 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: Collect the terms in 45*t**3 - 7*t**3 - 46*t**3.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 22*d - 3*k + 90 = 4*d, -23 - 3 = 5*d - 2*k - 1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1049*f**6 + 913*f**2 wrt f?\nAnswer: -125880*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r be (2\/4)\/(1\/2). Suppose 3*q - 1 = 2*q. Let g = -4 - -6. What is the nearest to r in -0.4, g, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12347291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z = 8 + -13. Let i(p) = -198 - 2*p + 414 - p**2 + 0*p - 210. Give i(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/19, 309225, -18 in descending order.\nAnswer: 309225, -2\/19, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = c - 3 + 1. Let g = 28.4 - 28. What is the nearest to 1 in -5, c, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 4 - 3)*(1 - 4 + 4)*(3*y + 2*y - y).\nAnswer: -32*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/9*747\/415?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 2878643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + (sqrt(76) - (sqrt(76) - (-1 + sqrt(76)) - sqrt(76))) + -1 + (sqrt(19) - (sqrt(19) + (sqrt(19) + -2 + sqrt(19))*-6)) + -5*sqrt(684))**2.\nAnswer: 420*sqrt(19) + 3949","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -559186 divided by -8\nAnswer: 279593\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -58 divided by -216072?\nAnswer: 29\/108036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.155 + -1.545. Let m = -1.98 - 0.02. Let r = d - m. Which is the third biggest value? (a) r (b) -2\/9 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j\/j**6*j\/j**7)\/(j*j**(-1))**(9\/4))\/((j**(-1)\/(j**(-5)*j))\/(j**(1\/2)*j**(-5)\/j)) assuming j is positive.\nAnswer: j**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round 18005000 to the nearest one million.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i = -290 + 415. Let o = 217 - i. Is 6 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = -q**2 + 5*q + 8. Let n be s(7). Let d = -0.03878 - 4.96122. What is the second smallest value in n, d, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 652 minutes after 6:52 AM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1216) - (sqrt(1216) + 2*sqrt(1216) + -4))**2 - sqrt(209)\/(sqrt(88)\/sqrt(128)).\nAnswer: -132*sqrt(19) + 4880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y = -39 + 38. Suppose 6 = 2*g - 4*h, 4 + 3 = -g - 3*h. Is g at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -5 + 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -2*v**2 + 11*v + 41. Let y be a(-3). Let k(l) = l**3 + 10*l**2 - 2*l + 8. What is k(y)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -40031, -80058, -120083, -160106, -200127, -240146?\nAnswer: -280163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 3, 11, -1899, -1, -2 in decreasing order.\nAnswer: 11, 3, -1, -2, -4, -1899","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find o, given that -2*o**5 + 34*o**4 - 32*o**3 = 0.\nAnswer: 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 141 is divided by 80?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*n - 6 = -6*n. Let i(s) = 3*s**2 - 1. Give i(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 divided by 14823.\nAnswer: -2\/4941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (21580\/11869)\/(2\/22).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 1 + 2)*(77 - 24 + 48)*(3*y**2 - y**2 + 0*y**2)*((4 - 5 + 3)*(-2*y + 1 - 1) + 0*y - 2*y + 4*y + (-4 + 1 + 1)*(2 + y - 2)).\nAnswer: -808*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:28 PM and 6:53 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j be (3\/5)\/(1\/45). Suppose 63 = -f - j. What is the tens digit of f\/75*(-70)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -90*k**2 - 831*k + 41. Calculate g(-9).\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 11, 55, 173, 401, 775, 1331?\nAnswer: 2105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f be (16\/(-8) + 180)*5. Is 893 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 7\/((-105)\/(-24))*(-5)\/(-2). Let o(b) = -b**2 + 5. Determine o(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = -d**3 - 9*d**2 + 10*d + 3. Let g be j(-10). Let c be (36\/(-15))\/(g\/(-270)). Suppose 0 = -3*t - 5*r + 179, c = 4*t + r - 0*r. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = 3*n - 60. Let m be a(21). Suppose -t + 3 = -2*v - 0*t, 2*v = 3*t + 3. What is the smallest value in -2\/17, m, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -312 - -346. Does 22 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) be the first derivative of -2*w**3\/3 + 560*w**2 - 1947. Factor m(y).\nAnswer: -2*y*(y - 560)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4330181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w = 186878\/87435 - 647\/603. Let f = 17\/15 - w. Suppose 3*p = -2*p. Is f < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = -l**3 + 11*l**2 + 12*l + 2. Let r be p(12). Let o(f) = 32*f**2 - 76*f**r + 47*f**2 + 29*f**2. Let j(k) = -k**2. Give j(o(i)).\nAnswer: -1024*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o = 22 - 24. Let j = o + 1.9. Which is the third biggest value? (a) 1\/5 (b) -4\/3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8838*i**2 + 61283*i**2 + 53182*i**2 - 50687*i**2 + 85798*i**2.\nAnswer: 158414*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 1 + 4)*(6*p**3 - p**3 - 4*p**3) + 18*p**3 + 2*p**3 - 7*p**3.\nAnswer: 14*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 31*f**2 - 70*f**2 + f**2 - 103*f**2.\nAnswer: -141*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*3*-4*(sqrt(144) - (sqrt(144)*-2 + sqrt(144)))\/(sqrt(6)\/(-2*sqrt(2))).\nAnswer: 768*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 775064599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -13363336 divided by 6681668?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 898710.3 centimeters in nanometers?\nAnswer: 8987103000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s be 3\/(23810\/4 - 2). Let t = s - -7684\/495875. Which is smaller: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 37254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Are -228 and -224 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*c + 92 = -7*x + 11*x + 32, -3*c - 2*x + 35 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*l - 27 = -l. Let b(w) = 3*w**2 + 5*w + 3. Calculate b(l).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = d - 1. Let b(c) = c**3 - 2*c**2 - 4*c + 1. Let w be b(3). Let r(y) = y - 1. Let a(n) = 6*n - 5. Let m(k) = w*a(k) + 14*r(k). What is m(h) - 4*o(h)?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 23 divide 478904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11043002 is divided by 1840487?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*w**2 + 3419044*w = 0.\nAnswer: -854761, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand ((2*t + 4 - 4)*(-5 - 1 + 3) + 1 + 2*t - 1 + (1 - 2 + 2)*(t - 2 + 2))*(-11*t - 45*t + 8*t).\nAnswer: 144*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-1)\/(2\/118 + (1 - 1)). Let f = l - -292\/5. What is the biggest value in 1\/5, f, -0.4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000010065 to 7 dps.\nAnswer: 0.0000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*k = 11*k - 68*k + 514 + 786 for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -4 in 2\/7, -1\/5, -2.2, 3\/8?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o = -18545444.99999255 - -18545454.6. Let c = o + -9.6. Round c to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -31325, -31323, -31321, -31319?\nAnswer: -31317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = -65 - -101. Solve -33*d = -r*d + 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 1313*n**3 - n**2 + 417?\nAnswer: 7878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {s: 2, c: 1, m: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + ((sqrt(204)*1 - sqrt(204))*6 + sqrt(204))\/sqrt(12) + sqrt(204)\/(5*sqrt(36)\/sqrt(3))*4.\nAnswer: 2 + 9*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j*j\/((j\/(j**(11\/3)\/j))\/j))\/j*j*j**(-2\/5)*j*(j**(-3\/8))**14 assuming j is positive.\nAnswer: j**(1\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:57 AM and 7:16 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = 22*r**2 - r - 3. Determine m(-4).\nAnswer: 353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*v - 5*v - 21 - 54*v**3 + 52*v**3 to the form d + w*v + p*v**3 + z*v**2 and give d.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = f**3 - 25*f**2 - 5*f + 162. What is r(24)?\nAnswer: -534","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 376370 rounded to the nearest one thousand?\nAnswer: 376000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 420504 + 525?\nAnswer: 421231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = 222*m**2 - 10*m. Let f(x) = 74*x**2 - 3*x. Give 20*f(n) - 6*s(n).\nAnswer: 148*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -13*k + 69. Let d(p) = 41*p - 184. Let v(b) = -3*d(b) - 8*o(b). Let a(f) = 6*f - 1. Calculate a(v(j)).\nAnswer: -114*j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -361, -756, -1143, -1516, -1869, -2196?\n\"Answer: v**3 - 2*v**2 - 396*v + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**7\/f)\/f**2)\/(f\/(f\/f**2))**(-7\/5) assuming f is positive.\nAnswer: f**(34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 5, -6, 2, 48 in descending order.\nAnswer: 48, 5, 4, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:10 PM and 2:52 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 107\/36 and 1\/15.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = 1. Suppose 89*q - 72 = 101*q. Let k(l) = 0 - 3 + 24*l - 9*l - 3. Let j(i) = q*u(i) - k(i). Let f(x) = -2*x. Determine j(f(d)).\nAnswer: 30*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 37 a factor of 52545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 89 (base 10) in base 7?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = 5 + -20. Suppose 3*y + 315 = 5*h, -2*y - 210 = 2*h - 5*h. Let l be (-6)\/n + 32\/y. What is the smallest value in l, -4\/3, -1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) be the first derivative of -p**5\/90 - p**4\/9 + 53*p**2\/2 - 6. Let b(h) be the second derivative of z(h). Factor b(a).\nAnswer: -2*a*(a + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-j**2 + 2*j**2 - 3*j**2)*((1 + 0 - 2)*(-4*j + 3*j + 0*j) + 5*j - j - 2*j + j - 6*j + 4*j).\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*w**5 + 12*w**4 - 12*w**3 + 4*w**2.\nAnswer: -4*w**2*(w - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -708 - 495 + 42*q + 230.\nAnswer: 42*q - 973","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 54 minutes after 2:43 AM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*-3*4*(sqrt(456)\/(-1*sqrt(8)))\/sqrt(3).\nAnswer: 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 19420361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 3 - 14?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -1833*r**3*s*z - r**3*z**2 - 20*r**2*z**2 - 996*r**2*z - 20*r*s*z**2 wrt s?\nAnswer: -1833*r**3*z - 20*r*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h = 3.3 + -7.3. Let g(u) = -u - 3. Let w be g(-17). Which is the smallest value? (a) h (b) w (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 39 + -35. Suppose f - 4*f = -2*m - 10, -j*m = -16. What is the third derivative of -f*w**4 - 20*w**2 - w + w - 16*w**4 wrt w?\nAnswer: -528*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11*-16.2348.\nAnswer: -178.5828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in 23, 0, -33, -70, -105?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 724092571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 17.270506 rounded to 2 dps?\nAnswer: 17.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 4200115 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a = -256.072 + 0.072. Let j = a - -255.9734. What is j rounded to 3 decimal places?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 6869299 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -27888460.7 rounded to the nearest one thousand?\nAnswer: -27888000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 4 (base 7) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 - 8 = 4*a. Let w(q) = -6*q**3 - 2*q**2 + 1. Determine w(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -32, -133, -302, -539, -844?\n\"Answer: -34*d**2 + d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1700 is divided by 33.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = 1743*g**2 - 38264*g - 55. Calculate m(22).\nAnswer: 1749","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t be 255\/12 + (-3)\/12. Suppose 11*h = t*h. Solve h = -u - u + 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = k + 1. Let t(n) = 12*n + 8. Suppose 0 = -4*f - 4. Let a(o) = o**2. Let m be a(2). Let y be 37\/4 + 3\/m. Give f*t(q) + y*l(q).\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 2060, 2062, 2060, 2054, 2044, 2030, 2012?\n\"Answer: -2*c**2 + 8*c + 2054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/34*4\/1\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -2\/3 (b) -6468 (c) -1 (d) 2 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9*j**2 + 2*j**2 + 21*j**2 + 3*j**2.\nAnswer: 35*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 371925373?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 2 * -34\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-4 - -3)\/((-1)\/10). What is the greatest common divisor of u and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 72\/(-45)*2\/(-8).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m be 24*(-5 + 3) + 4. Let l be (15\/(-12))\/5*m. Calculate the highest common factor of 121 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) be the third derivative of -r**8\/13440 + r**7\/1680 - r**6\/480 + r**5\/240 - r**4\/8 - 5*r**2. Let o(a) be the second derivative of p(a). Factor o(c).\nAnswer: -(c - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = -n**2 - n + 2. Let a be p(0). Let j = a + -2. Suppose j = 3*q - 5*y - 66 - 73, 3*q + 2*y - 125 = 0. Is q a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-315)\/600)\/(749\/428).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1763 - -1767. What is the fourth smallest value in -2\/451, -1, -0.1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = u**3 - 7*u**2 + u - 21. Let f = -47 + 57. What are the prime factors of o(f)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -15 + 10. Let v = -0.04 + 0.04. What is the closest to 3 in -1, l, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -4*v**3 + 4424*v**2 + 4436*v - 8856 = 0. What is v?\nAnswer: -2, 1, 1107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 51, -741, 4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 531 a factor of 138060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 30002 is divided by 698?\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p - 7*p - 112 = 0. Let f be (-5 - -1)*(-77)\/p. List the prime factors of f*(2 + -1)*-1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 41510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -10 + -36 + 33 + (6 - -2) + 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 241742 (base 9) in base 13?\nAnswer: 513cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) be the first derivative of -3*k**2\/2 + 2606. Let x(y) = -2 - 5*y + 2. Determine 7*f(d) - 4*x(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*h + 7*h = c + 5 + 2, -8*c = -11*h + 27 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s = -30.8404529 - -47.840448. Let w = s + -17. Round w to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1.16 + 0.16. What is the second biggest value in 3\/2, 1, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dv when two letters picked without replacement from dhvohovdshoh?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q = -12.58 + -548.42. Let h = 559 + q. Sort 4, h, 0.07.\nAnswer: h, 0.07, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = o**3 - 2*o**2 + 4*o - 4. Let r be f(3). Let m(x) = 2*x**2 - 8*x + 7. Let l be m(5). Is r not equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5430*d - 5448*d + 10871*d.\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 16526 times -0.5\nAnswer: -8263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 276.9191us to nanoseconds.\nAnswer: 276919.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Are -115395790 and -115395791 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort 53, -2, -39, 3, 9 in descending order.\nAnswer: 53, 9, 3, -2, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = 6*o**2. Let t(d) = -12*d. Determine s(t(h)).\nAnswer: 864*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 929317202?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 513961?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-191984)\/994)\/(-338)*(-287)\/(-4)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = -7393 + 7064.3. Let m = 350 + j. What is m rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-4)\/(-5))\/((-10)\/50). Let n(d) = -d**3 - 3*d**2 - 5*d + 1. Let h be n(p). Suppose -2*s - 225 + h = -2*v, -2*s + 382 = 4*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 581015.\nAnswer: 5, 29, 4007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-1)\/(-1))\/((-4)\/(-20)). Suppose -l*p - 10 = 0, -f + 5*p = -6*f + 185. Let d = -38502 - -38504. What is the smallest common multiple of d and f?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((a*a**(-17))\/((a\/(a\/a**21*a))\/a))\/(a**(-2\/15)\/((a\/a**(2\/23))\/a)))**(-7\/8) assuming a is positive.\nAnswer: a**(84413\/2760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let -3*p**2 - 3\/2*p**5 + 3*p**4 + 0 + 3\/2*p + 0*p**3 = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.4 times 0.71\nAnswer: 0.284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h = -18 + 20. Suppose h*u = u. Let m = 251 - 2261\/9. What is the fourth smallest value in -3, m, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 15 + -6 + -27 - -17.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 5472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = 2*k**2 + k + 1. Let m(v) = -6*v**2 - 3*v - 4. Suppose 2*s - 32 = -4*u, -8 = -2*u - 2*s + 5*s. Determine u*x(q) + 2*m(q).\nAnswer: 2*q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m = 435\/56 + -5\/8. Calculate the common denominator of 131\/126 and m.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1943 = 4*d - 3*a, -2*d = 4*a - 463 - 481. Is d a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -17397650964878 minus 0.5?\nAnswer: -17397650964878.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) be the first derivative of z**3\/3 + 114. Let f(g) = g**2 - 21. Calculate m(f(a)).\nAnswer: a**4 - 42*a**2 + 441","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4 - (-16 + (0 - -6)) - (-50 + 38 + -9)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = d**2 + 7*d + 10. Let a be b(-5). Let r be (a - -28)*180\/21. Calculate the highest common factor of 24 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = 26469*j + 132240. Determine h(-5).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -57456 divided by -2128.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 y and 1 c when three letters picked without replacement from {y: 3, c: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d = 6310 - 6283. Solve 10*z + 17*z = -d for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: (-9*3\/(-6))\/(10\/(-20))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4903*0.1.\nAnswer: 490.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12099825 is divided by 3142.\nAnswer: 3125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0 - -3. Let q(f) = f**3 - 3*f**2 + 1. Let x be q(2). Is x equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 991*q - 5221 = 2707 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1 - 0. Let t = a + 4. Solve -t*i + 5 = 2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 88940923 to the nearest integer?\nAnswer: 9431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence msmm when four letters picked without replacement from moomsoms.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify l**(1\/3)*l\/(l\/(l\/l**(2\/7))*l)*l**(-2)\/(l*l\/l**(-1))*((l*l*l\/(l*(l**3*l)\/l))\/(l*l*l**(-1)))**(6\/17) assuming l is positive.\nAnswer: l**(-2020\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*u - 3*a + 47, -u + a - 4 = 5. Let b be 5\/u*4 + 5332\/2668. Is -1 <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -17.7049 * -1.28.\nAnswer: 22.662272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 29 a factor of 98919?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in 2, -33, 0.04, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 10 - -66?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 25 = -4*v - 3*y, -5*y + 0*y = -5*v - 5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = b**3 + 4*b**2 - 3*b + 2. Calculate s(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q = -116 + 120. Let x(b) = -6*b + 3*b + q*b - 2*b. Let k(f) = 7*f. What is k(x(i))?\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-2)\/(-3))\/(1\/12). Suppose u = -0*g + 2*g. Suppose -13 = -m - g. What is the remainder when 26 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11130200200 (base 4) in base 6?\nAnswer: 50332424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 13, 43, 123, 277, 529, 903, 1423, 2113?\n\"Answer: 4*q**3 + q**2 - q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -10 + (17 - 4) + (-8 - -12) + 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -5 + -136?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 3 (base 6) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 98, 1, 23, -1, -3, 4, 79 in decreasing order.\nAnswer: 98, 79, 23, 4, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -13*h - 1. Let s be m(4). Let p = s + 87. What is the remainder when p is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2\/(-6))\/((-134)\/(-402)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-10)\/12)\/(-5) - 1260\/(-216). Let k be (1584\/p)\/6 + -6. Solve 0 = -2*t - 28 + k for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = g**3 - 2*g**2 - 6*g - 2. Calculate u(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Add 232.9 and -4561830275.\nAnswer: -4561830042.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-3 - -1) + (5 - 4). Sort -2, f, 0.\nAnswer: -2, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 4723942*o**6 + 571*o**2 - 8*o + 6 wrt o.\nAnswer: 566873040*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l + 17 = 77. What is the smallest common multiple of l and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 90 + 21556*o**2 - 260 - 3875*o**2 + 170.\nAnswer: 17681*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = -u**3 + 14*u**2 - 14*u + 1. Calculate v(13).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-six fifths of a millennium in centuries?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = 47*r**2 + r. Is q(-1) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 17b (base 12) to base 10\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a\/(((a**(2\/7)\/a*a)\/a)\/a))**(-1\/20))**27 assuming a is positive.\nAnswer: a**(-513\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -5*t**3 - 6*t**2 - 3*t. Let x(f) = -5*f**2 - 25*f - 4*f**3 + 10*f + 13*f. What is 6*x(g) - 5*z(g)?\nAnswer: g**3 + 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 11.7 or -251\/12?\nAnswer: -251\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = 23*j**3 + 4*j**2 - 9*j - 9. Let k(n) = 6*n**3 + n**2 - 2*n - 2. Suppose -3*t - b + 28 = 0, b + 4 = t - 4. Give t*k(w) - 2*m(w).\nAnswer: 8*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 140011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 9 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 35808 is divided by 1884?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -44\/525 and -5\/12.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z = 21 - 17. Let u be 0 - (-2 - 12\/z). Let x(m) = 2 + 10*m**2 - 2 + 6*m - u*m. What is x(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3514486 times 53?\nAnswer: -186267758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 + 5 + -12 + (-4 - -23 - -9).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i be -5 + 1 + 7 + -1. Calculate the remainder when 64\/(-20)*(-5)\/i is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 8618829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i - 3*m + 16 = 0, -6*i - 5*m = -5*i + 10. Suppose 3*j - 13 = -4*g, i*j - 5*g + 0*g = -25. Let x(b) = 13*b**3 - 2*b + 7*b**3 - 1 + b. What is x(j)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -d**3 + 13*d**2 - d - 136. Determine a(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 73\/560662 and 47\/7115.\nAnswer: 2803310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5*(1\/(-4))\/((-2)\/(-8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3 in 236, -2\/29, 0.2414?\nAnswer: 0.2414","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1288 - 16*o - o**3 + 16*o + 18*o**3 - 6*o**3.\nAnswer: 11*o**3 - 1288","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {n: 4, v: 2, j: 2}. What is prob of sequence nnnj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w = -19\/126 + 2\/9. Let a = w - -3\/7. Suppose 1\/2*l**2 + 1\/4*l**5 - a*l**3 - 1\/4 + 1\/4*l - 1\/4*l**4 = 0. Calculate l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4 divided by -705738?\nAnswer: 2\/352869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y = 4 + -4. Let w = 736 + -740. Let z be ((-10)\/w)\/5*y\/2. Solve z*j - 8 = 2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = n**2 + n + 17. Let w be p(0). Suppose -3 = -4*r + w. Suppose -a + 38 = r*u - 32, 10 = 2*a. What is the greatest common divisor of u and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = t + 14. Let p be b(-11). Let g(y) = y**2 - y + 3*y**3 + p - 2*y**3 - 6 - 3. Suppose -6 = -3*o - 3*f - 0*f, -4*o + 4*f - 8 = 0. Calculate g(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = t**2 - 3*t + 4. Let k(r) = 2*r**2 - 3*r + 5. Let s(b) = -2*k(b) + 3*v(b). Let j be s(-3). Let x be (-1)\/(-2) - (-55)\/10. Solve j = 4*p - x for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**31*t*(t*t**30*t)\/t)\/(t**(-6)\/((t**(1\/6)\/t)\/t)))**(-2\/99) assuming t is positive.\nAnswer: t**(-403\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u = 17 + -6. Suppose -u = -3*t - 5. Suppose 0 = h - x - 8, 2*h - 3*h = t*x - 23. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -717805.7+38992\nAnswer: -678813.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 8016773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q = 34 - 220. Let w = q + 424. Is w a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 659.5539ml to litres.\nAnswer: 0.6595539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mfhd when four letters picked without replacement from hmfzd?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*s + 6*s - 92456 + 10528 = 0. Calculate the highest common divisor of 392 and s.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11128860179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 30789849 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -33*i + 1. Let d(r) = 70 + 17*r - 70. Let u(h) = 11*d(h) + 6*n(h). What is the derivative of u(j) wrt j?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -1, -6\/121, -0.5, -0.4, 0?\nAnswer: -6\/121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.02 (b) -3 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 13945596 and 142302.\nAnswer: 13945596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -61\/55020 and 53\/99311100?\nAnswer: 99311100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-9)\/(-15) + 116\/(-20) + 5. Sort -1\/9, 5, g in increasing order.\nAnswer: g, -1\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*r + 0*r + 0*r)*(2 - 1 + 1) + 44 + 36 - 15*r - 81.\nAnswer: -21*r - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = g**2 + 4*g - 8. Let c be a(-10). Suppose -8*n = -4*n - c. What is the remainder when 101 is divided by n\/26*52*1?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 68 and 40.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -4 (b) 116 (c) 0.58 (d) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = o**3 + 16*o**2 + 40*o + 13. Let w be q(-13). Which is greater: w or 6\/433?\nAnswer: 6\/433","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q + 4*q = 94. Let z = -8851 - -8925. Let x = q + z. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: (4 + -18 - -11) + 7 + 0 - (42 + -9)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 417355024799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or -2\/869073495?\nAnswer: -2\/869073495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: (1189\/369 - 8\/36) + -8 + 19\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-2)\/(9*(-28)\/378). Let s = 52 - 31. Suppose -27 + s = -k*h. Solve 0 = -h*i + 4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = 3*w**2 + 23355*w + 1114136. What is n(-48)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (0 - (-12)\/4 - 1)\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -5.13 + 0.13. Let q = 0.0288 + 0.4712. Suppose z - 4*k = -9*k + 16, 3*z - 3*k = -6. Which is the second biggest value? (a) q (b) z (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: (-370)\/90*-9 - (-4 - -7)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c = -2*b - 3*b + 11, -b = 4*c - 19. Let s = -8683\/7 - -1243. Which is smaller: s or c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = j - 18 - 139. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = 2*f**3 + 7*f**2 + 5*f + 11. Let h be d(-3). Solve 0 = -l - h*a - 4, 7*l - 2*l = 2*a + 7 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -41 + 223 - 49 - 49 + 4*o - 52 - 44.\nAnswer: 4*o - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -l - 2 = 0, 9*v - l - 2 = 6*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -97920 divided by 17\nAnswer: -5760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -38377*q**2 + 76798*q**2 - 38331*q**2.\nAnswer: 90*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h + 26 - 198 = 0. List the prime factors of h.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l - 26*n + 688 = -22*n, 3*l - 4*n - 680 = 0. List the prime factors of l.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12\/(-675)*1731\/(-1154).\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 62458?\nAnswer: 2, 11, 17, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nllbbblblnlnln. What is prob of sequence lnb?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-318 + 620 + 29*v - 311)*(-v**3 - v**4 + v**3).\nAnswer: -29*v**5 + 9*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1329602 - 5318281\/4. Factor 25\/2*x + 0 + 5\/4*x**3 + a*x**2.\nAnswer: x*(x + 25)*(5*x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-5*a - 28*a + 12*a)*(-6 - 11 + 1) in the form d + o*a and give o.\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -23 + (-2 - 31) + 32.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 5432, 1, 5 in descending order.\nAnswer: 5432, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of c**4*g + 1306916*c**3*g**2 - 14*c**3 - 97*c**2*g - 7*c**2 - c*g**2 + 102*c*g + 5*g wrt c.\nAnswer: 24*c*g + 7841496*g**2 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i = -4 - 2, 2*p = i + 10. Let s(t) = 3 + 12*t + 7*t + p*t - 18*t. Let d(y) = 6*y**2. Determine d(s(u)).\nAnswer: 294*u**2 + 252*u + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h + 20 = 0, 0 = a - 2*h + 6*h + 14. Solve a + 1 = -v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) be the third derivative of 35*m**4 - 325*m**3\/3 - 396*m**2 + 2*m. What is the first derivative of q(w) wrt w?\nAnswer: 840","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) be the first derivative of -5\/3*x**3 - 7 - 2*x - 1\/4*x**4 - 1\/2*x**2. Let s be g(-4). Sort 5, -5, s in descending order.\nAnswer: 5, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor x**2\/2 + 3508*x + 6153032.\nAnswer: (x + 3508)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31*t + 560 = 39*t. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 16\/2*(-1)\/(-2). Suppose 3*r - 6*r + 75 = 0. Let j be 1*(-3 - -1*8). Solve -j*t - r = 4*h, -h - 4*t - 29 = o*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2 + 1 - (6 + -6)) + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6 + 2 + 3 + 2*z)*(-14*z**4 + 35*z**4 + 55*z**4).\nAnswer: 152*z**5 - 76*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 5 < 96\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g be -17 + (2 + -2 - 3). Let a = 36 + g. What is the remainder when a*((-25)\/2)\/(-5) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = -a**2. Suppose 4*x - 37 = -4*d + 67, -d + 28 = 2*x. Let n(p) = -d*p - p + 78*p. What is q(n(f))?\nAnswer: -2809*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -4*t**2 + 4*t. Let y(o) be the second derivative of o**4\/24 - o**2 + 3*o. Let h(z) be the first derivative of y(z). What is 4*h(s) - w(s)?\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is next in 103, 158, 237, 346, 491, 678, 913, 1202?\nAnswer: 1551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 b and 1 l when two letters picked without replacement from arillaabbarbiaa?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -1.18 and -4554?\nAnswer: 4552.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 7563 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1024875?\nAnswer: 3, 5, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d = 118 + -78. Calculate the greatest common divisor of 16 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from bggggririirgjgbrbz. What is prob of sequence biz?\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -7 - (-2 + 0 + -2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b - 4 = 4*x, 15 = 3*b + 2*x - 3. Let l be (54\/b)\/((-6)\/(-16)). Let i = l - -12. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 1 (b) 17 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = 4*a**3 + a**2 + 6*a - 8. Let g = 28 - -2. Suppose 0*s = -5*s - g. Let y(d) = 3*d**3 + d**2 + 5*d - 7. What is s*y(n) + 5*j(n)?\nAnswer: 2*n**3 - n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 1\/(-240)*(18 - 1233\/36) and 19\/40.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r = 20, 0 = 8*g - 0*r - 2*r - 20542. Calculate the greatest common divisor of 14 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: Let o = 1.74 - 1.54. Let t(v) = v - 3. Let k be t(7). What is the nearest to k in -2, o, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = 21 + 16 - 34 + 5*v. Suppose 2*z - z + y + 7 = 0, -2*z - 10 = y. Let q(i) = -9*i - 6. Let h(c) = z*q(c) - 5*d(c). Determine h(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 70 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:28 PM and 8:05 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 135715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -29*s - 180 = -9*s for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1430 - 1428. Is -1 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 10\/13*s**4 + 0 - 2\/13*s**5 + 14\/13*s**2 - 4\/13*s - 18\/13*s**3.\nAnswer: -2*s*(s - 2)*(s - 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 190, -8\/43, 8?\nAnswer: 190","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*k**2 - 16*k**3 - 2*k**2.\nAnswer: -16*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 27468?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Work out -26673.34664984 - -0.2.\nAnswer: -26673.14664984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = 4*y - y. Suppose y*u = 3*n - 7, 0 = -u - u + 2*n - 2. Is (u + (-27)\/6)*-14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 0 + 543?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 134 and 603.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -19942470 divided by -1?\nAnswer: 19942470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**1\/c)\/c)**23*c**(2\/19)\/c**(2\/13) assuming c is positive.\nAnswer: c**(-5693\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 46\/27 and (18\/1215)\/((-26)\/(-70)) + 0.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.010559 to 4 dps.\nAnswer: 0.0106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*q - 109 + 124. Which is the closest to -0.2? (a) q (b) -2\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2.6915 times -5?\nAnswer: 13.4575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) be the third derivative of -k**5\/15 + k**4\/12 + 2*k**2. Let a be s(2). Let u be 10\/15*(-2)\/a. What is the biggest value in 0.2, -4, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) be the second derivative of -7*s**3\/6 + 5*s**2\/2 - 20*s. Let n(q) = -10*q + 7. Let m(w) = -7*i(w) + 5*n(w). Let p(z) = 0*z + 2*z + 0*z. Give m(p(r)).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 3 divided by -2534586\nAnswer: -1\/844862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 6\/53 (b) -0.1 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Subtract -2254.682099 from 384.\nAnswer: 2638.682099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*r - 3*f + 60, 114*r = 98*r - 10*f + 9*f - 320 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-224)\/12*(-18)\/7 + -1. Suppose -y = 7*n - 236. What is the greatest common factor of 216 and n?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6.731841689 less than 0.2363?\nAnswer: -6.495541689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -9142732*q**4 + 52*q**2 + q - 9984 wrt q?\nAnswer: -219425568*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((3\/2)\/1)\/((-24)\/160).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 303\/378 + (-584)\/(-18396)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (6890\/795)\/(2\/3099)?\nAnswer: 13, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s = 1 + 25. Let o = -10 - s. Solve f - 4 = a, -4*f + o*a + 9 = -6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = i**2 + 8*i + 10. Determine x(-10).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 1.56 times 5743?\nAnswer: 8959.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in i + 76879*i**2 - 91867*i**2 - 85743*i**2 - 54271*i**2.\nAnswer: -155002*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -1 (base 16) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 18045.\nAnswer: 3, 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does -1537 = 280?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f = 146725 - 7189771\/49. Which is bigger: -6 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*sqrt(6048) - sqrt(42))\/sqrt(6).\nAnswer: 35*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c and 1 k when two letters picked without replacement from {c: 4, k: 1, s: 8}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -13 = -o - 2*n, 512*o - 6 = 515*o - 3*n for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-20)\/(-70) + (-33)\/(-105).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 4*m = 10 - 0, m = 4*v - 3. Let z(j) = 6*j**3 + 3*j**2 - 4*j + 2. Is z(v) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((1 - 2*p - 1)*(-2 + 2 - 5) + (2 - 2 + 2)*(-p - p + 4*p) - 4*p + 0*p + 2*p)*(4*p + 9*p - 14*p).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-5)\/((-10)\/6) - -10. What is the tens digit of (-2)\/1 + z + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 7 + -7.25. Let x = -0.17 - c. Let o = 6286 - 6281. What is the third biggest value in x, o, 2\/3, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -5786, -11591, -17396, -23201, -29006?\n\"Answer: -5805*w + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -h - 16. Let z be y(-20). Solve w + 4*w - z*g + 16 = 0, -2*w - 5*g = 13 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -23.2 + 21.2. Let h(u) = u**3 + 5*u**2 + 9*u - 4. Let g be h(-3). Let m be (-8)\/10*(260\/24)\/g. Which is the closest to v? (a) 0 (b) -2\/7 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 47 - 49. Let o be (0 - (-12)\/14)*7\/(-4). Which is the biggest value? (a) 0.1 (b) 2\/15 (c) o (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 41081 or 41082?\nAnswer: 41081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = 135*l**2. Suppose -22*r + 570 + 640 = 0. Let i(c) = 8*c**2. Let a(z) = -7*z**2. Let x(s) = -3*a(s) - 2*i(s). Determine r*x(g) - 2*t(g).\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -i**3 + 30*i**2 - 288*i + 864 = 0.\nAnswer: 6, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = g - 5. Let v be i(6). Let t be (-1 - v)*(-6)\/4. Suppose 0 = -4*o - 2*b - t*b + 119, 4*o + 3*b - 113 = 0. What are the prime factors of o?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ugux. What is prob of picking 1 x and 1 g?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand 5 + 2*r**3 - 5 + 0*r**3 + r**3 + r**3 + (4*r + 2*r**2 - 4*r)*(-2*r - 1 + 1) - 8 + 8 + 3*r**3 - r**3 - 5*r**3 + r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -0.01567613454 to 3 decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -2*t**3 + t. Let d be (-1)\/2*-10 - -1. Let o be 6\/(-30) + d\/5. Give b(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 839641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 4516 and 167360.\nAnswer: 188949440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 1917391369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 329300682?\nAnswer: 2, 3, 103, 532849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor x**3\/5 - 12574*x**2\/5 + 39526369*x\/5.\nAnswer: x*(x - 6287)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d + 0*d + 22 = 0. What is the derivative of -28*m - 29*m + d*m - 4 + 50 wrt m?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 58715 - -4?\nAnswer: 58719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -117*a - 23639 = -122*a - y, 4*a - 18928 = 2*y. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -16820 divided by 5.\nAnswer: -3364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in eleven halves of a meter?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is seven eighths of a second in milliseconds?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = -132 + 131.6. Let k = 11 + -10.9. Which is the nearest to -2? (a) g (b) 2\/3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:24 AM and 5:10 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 113 divide 16460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide 4 by -86221.\nAnswer: -4\/86221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a**(2\/11))**40)**(-12) assuming a is positive.\nAnswer: a**(-960\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-30)\/25*25\/10. Let i(s) = 23*s**2 - 17*s**2 - 1 - 4*s - 7*s**2. What is i(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/5 in 0, 1, 2\/13, 4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Multiply 5616 and 209.\nAnswer: 1173744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) be the second derivative of -x**3\/6 - 5*x**2 + 4*x. Determine l(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*c = -8*c - 2*f + 11, -5*c = -3*f - 16. Find the third derivative of -2198*j + 23*j**5 + 2156*j + 107*j**c + 2*j**2 wrt j.\nAnswer: 7800*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 2 and 2046.\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b + 5*b - 8 = 0. Let t(z) = -5*z + 6. Let h(v) = -6*v + 7. Let l(s) = 4*h(s) - 5*t(s). What are the prime factors of l(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 52, 104, 156, 208, 260, 312?\nAnswer: 364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 287789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = n**3 + 22*n**2 + 32*n - 14. What is the hundreds digit of o(-19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/9? (a) -3 (b) 6 (c) 2\/11 (d) 177\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = 20 - 11 - 8 - 6*s. What are the prime factors of h(-19)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = 141*j**2 - 4*j + 23. Let d = -150 + 153. What is the units digit of h(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in -3, -0.14, 7\/2, -4?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2 or 14960\/17157?\nAnswer: 14960\/17157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 3190653, 6381202, 9571661, 12762036, 15952333?\n\"Answer: l**3 - 51*l**2 + 3190695*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = -l**3 + 13*l**2 + 48*l - 9. Calculate w(16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 133344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 40 and 3160?\nAnswer: 3160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r = -43 + 45. Suppose 5*u = -3*t + 172, -r*t = -5*u + 26 - 149. Is 7 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 3 + (-4 - 3\/9). Which is bigger: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = -y**2 - 17*y + 5. What is the tens digit of n(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000820226 to seven decimal places.\nAnswer: -0.000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (16 - 10 - (-2 + -2)) + (-40 - -74).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = c**3 - 6*c**2 - 4*c - 4. Let i(j) be the second derivative of -j**5\/20 + 5*j**4\/12 + 2*j**3\/3 + 3*j**2\/2 - 3875*j. Determine -4*f(n) - 5*i(n).\nAnswer: n**3 - n**2 - 4*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 31\/648 and -11\/4422852.\nAnswer: 79611336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1182720 and 957?\nAnswer: 34298880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Multiply 83.52649 and 1.\nAnswer: 83.52649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l + 54 = 3*f, 4*f + 19 = -3*l - 25. What is the remainder when (-3)\/(-18) - 598\/l is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + -2 + 1 + sqrt(847) + 0)**2*3.\nAnswer: 66*sqrt(7) + 2544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*t**2 + 10 - 5*t**2 - t**3 - 11 to the form i + z*t**2 + l*t + j*t**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m + 1 = 61. Let v be 1*(-14 - -2 - -2). Let o = v - m. Solve o*g = -2*w + 3*w + 7, -9 = -g + 4*w for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (14 - 3) + (-18)\/3. Suppose 4*n = 5*q + 115, 4*q - 253 = -g*n - 58. Is n at least 36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = -338*y - 12543. What is f(-37)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ah when two letters picked without replacement from {q: 10, h: 8, a: 1}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.2 - -0.2. Let u be (-4)\/9 + 16\/(-72). What is the nearest to x in u, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = -96001*g**3 - 2*g**2 - g. Let l be z(-1). Suppose -7*y + l = -3*y. Let v be -2*y*200\/(-3). Round v to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a - 16 = -a, -2*y + 4*a = 30. Is 15 a factor of (-8295)\/y*(2 + 2 - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = h - 6. Let o be w(10). Let q(r) = 3*r - 15. Let c be q(6). Suppose 0 = 2*g - c*f - 69, -2*g - 2*f + 66 = -o*f. Does 10 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -3066, -4360, -5620, -6828, -7966?\n\"Answer: 3*h**3 - h**2 - 1312*h - 1756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-1 - (-6)\/4)*(-31 - -29). Let f be (-8)\/(-32) - (1 - s\/4). Calculate the lowest common multiple of 6 and f\/(((-5)\/(-10))\/(-1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -682190 by 2.\nAnswer: -341095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u - 2*z + 3*z + 45 = 0, -4*z - 120 = -5*u. Suppose 3*r + 2*r - u = 0, -v - r = -8. What is the least common multiple of 6\/45 + (-84)\/(-45) and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2 + -2. Let v = -8 - m. Let p = 7 + -5. Which is the closest to 1? (a) -3\/5 (b) p (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 323291039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 270555 is divided by 54110?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 280194 a multiple of 246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 168580507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express 7*c**3 + 0*c**2 + 1560*c - 1561*c - 2*c**2 - 2*c**4 - 3*c**3 as o*c + f*c**2 + z*c**4 + i*c**3 + d and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*u**3 + 23*u**3 + 12*u**3 - 12*u**3 - 6*u**3 - 13*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put -4.9, 5101\/5, -0.1, -3 in decreasing order.\nAnswer: 5101\/5, -0.1, -3, -4.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Product of -4 and -1391.\nAnswer: 5564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(-1 + (3*(sqrt(5) - -6*sqrt(20)))**2) + (sqrt(35)\/sqrt(7)*-4 + -1 + sqrt(245))*5.\nAnswer: 15*sqrt(5) + 15203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*b + 4*b - 3*b + (48 - 19 - 20 + 3*b)*(-3 + 0 + 1).\nAnswer: -8*b - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = 1991*h**2. Let x(k) = -3400*k. Determine x(i(t)).\nAnswer: -6769400*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -27048635 divided by -13\nAnswer: 27048635\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -w**3 + 17*w**2 - 16*w + 5. Let o be c(16). Solve 2 = -o*n + 3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -18*j = 6*j + 24 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l = -2*h + 8, 2*l - 6*l = 2*h. Suppose x = 0, -3*y - h*y + 5 = 4*x. Suppose -2*o - 5*o + 14 = 0. Which is the closest to -1\/3? (a) -5 (b) y (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 2\/(-4)*2 - -3. Let q be (1 - (-14)\/(-8))\/((-19)\/76). Solve 0*d + 4 = -c*d, 6 = -4*u - q*d for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*j + j = 310. Suppose -3*n + 5*y + 158 = -44, j = 5*n - 3*y. Calculate the remainder when n is divided by ((-128)\/96)\/((-1)\/9).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*m**2 + 18*m - 16.\nAnswer: -2*(m - 8)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from yrxttyyyrmxyyux. Give prob of picking 1 u, 1 r, and 1 t.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 4185820 to the power of 1\/2, to the nearest integer?\nAnswer: 2046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -l + 9. Let c be o(7). Suppose -d - 3 = -c*d. Let a = 22 - 22. Solve 9 = -d*b + q - a*q, 0 = -5*b + 5*q - 5 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 133103 - -1320?\nAnswer: 201023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -107960 rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -2177 (base 8) to base 9\nAnswer: -1518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 78953609?\nAnswer: 7, 11279087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 i and 1 n when two letters picked without replacement from ozinw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = c**3 - 2*c**2 - 3*c. Let n be x(3). Let s be 0 - (1 + n) - 0. Let z be s\/4 + 3\/4. What is the nearest to -1 in z, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) be the third derivative of 0 + 0*t**5 + 11*t**2 + 0*t**6 + 13\/24*t**4 + 0*t**3 + 0*t - 1\/21*t**7. What is the second derivative of g(b) wrt b?\nAnswer: -120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 5 - -9.61.\nAnswer: 14.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1213 + -1208 - -2*39\/(-18).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = 4*x. Let m(n) = -n**2 - 1361*n - 4. Determine a(m(f)).\nAnswer: -4*f**2 - 5444*f - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n + 0 + 5 = 0. Suppose -o = 3*u + 4, 2*o + 2 + 1 = -n*u. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) be the first derivative of 3\/2*o**2 + 7 - o. Let l(p) = p**2 - 4*p + 4. Let h be l(3). Calculate t(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: (117\/18 - 8) + (-15)\/(-6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 207 (base 10) to base 8\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2681 + 0*i**2 - 2681 - 4*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 21776754?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Add together 9115593 and -0.5.\nAnswer: 9115592.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:30 PM and 10:56 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -2*k**2. Let r(m) be the third derivative of 25*m**4\/24 + 11*m**2 - 2. What is l(r(q))?\nAnswer: -1250*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {w: 3, f: 5}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1643*d + 1643*d - d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6 - ((5 + -5 - 3) + -14).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 781580.1 weeks in hours?\nAnswer: 131305456.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence px when two letters picked without replacement from xppuupddudupudpusdp?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1440 = -5*f + 5*a, 0 = -2*f + 7*f - 4*a + 1444. Calculate the common denominator of 3 - (-2)\/((32\/f)\/(-2)) and 434\/48 + 1*(-8)\/12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = -5*u + 2. Let r(v) = 4*v - 2. Calculate 3*n(a) + 4*r(a).\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2085313.\nAnswer: 211, 9883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 3 + -5 + (-4480)\/(-1248) and 10\/39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -84 + -184?\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6629600 divided by -41435.\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*q - 25 = 5*d - 9*q, -10 = 2*q. Let o(a) = -a**2 - 7*a. Determine o(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 706 minutes after 5:35 AM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*m**2 + m + 2*m - 4*m + (-119*m**2 + 309*m**2 - 129*m**2)*(-1 - 1 + 1).\nAnswer: -59*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -12*75\/50*(-3)\/45.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 93 - 53. Let i = 116 - o. What is the highest common factor of 38 and i?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = o**2 - 47*o - 348. Calculate w(58).\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 161 and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -23 + 5 + 2*f - 5*f + 5*f. Let b be k(11). Suppose 9*g + b*g - 3458 = 0. Is g a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 43.6 and -224218?\nAnswer: -9775904.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-170)\/204)\/((-115)\/5796)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 44\/440*185\/1*2?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0\/(-7))\/(40\/(-20)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4913719 weeks in days?\nAnswer: 3.4396033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: (10 - (0 - -15) - 3) + 1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 2415785814 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g\/(g*g**(3\/4))*(g**(-6\/13)*g)\/g*(g*g**(3\/7))**(-39))**(-2\/31) assuming g is positive.\nAnswer: g**(20721\/5642)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 113557 is divided by 3653?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -19401.9172 rounded to the nearest 100?\nAnswer: -19400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(4\/7)*k*(k*k\/(k**14\/k))\/k*(k**4)**41)**(-49) assuming k is positive.\nAnswer: k**(-7525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 484, 3, 8, 4, -6, -5.\nAnswer: -6, -5, -3, 3, 4, 8, 484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -m + h - 29, -3*m + h = -29 + 106. Let q = m + 25. Which is the nearest to 1? (a) q (b) -0.3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:54 PM and 8:42 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert 2310530 (base 7) to base 2.\nAnswer: 1000110011010000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -6845 divided by -5\nAnswer: 1369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 72139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6528)\/(-576)*666\/102?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = -33.481 + -0.019. Let p = f - -34. Let m = -0.9 + 1. What is the closest to m in p, 1\/3, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 0.6, -1, 148, 0.1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w = 7 + -2. Let f = 8 - w. Suppose 3*m - c - 22 = 0, 0*c - 20 = -2*m - 2*c. What is the remainder when m is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -340 - -343. Sort -4, 4, 2, a in ascending order.\nAnswer: -4, 2, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 10 + -3. Let t = -98 - -111. Suppose -5*v = -v - 3*u - 32, -3*u = 5*v - t. Calculate the remainder when b is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1312, -1, -11, 5, -3, -12, -4 in ascending order.\nAnswer: -12, -11, -4, -3, -1, 5, 1312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -10*s. Let x(m) = m**2 + 2*m + 40008. Give x(g(y)).\nAnswer: 100*y**2 - 20*y + 40008","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 172969*-5.\nAnswer: -864845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 7, -3.09142, -5, -4 in increasing order.\nAnswer: -5, -4, -3.09142, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -63*w**2 + 23 - 57*w**2 - 23.\nAnswer: -120*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 11921, 50, 5 in decreasing order.\nAnswer: 11921, 50, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Divide -839646 by 1278.\nAnswer: -657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = -25 - 181*q - 187*q + 371*q. Let a(m) = m - 24. Let k(r) = -4*a(r) + 3*l(r). Differentiate k(v) wrt v.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -129, -5 in descending order.\nAnswer: -1, -5, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 60397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:43 AM and 5:07 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Determine g, given that 339*g**2 - 23259*g - 72828 = 0.\nAnswer: -3, 8092\/113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-9)\/54 - (-11)\/(-6). Let n(g) = -3*g**3 + g + 3. Is n(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 4 - 4)*((3 + 2 - 3)*(0 - 1 - 2) - 14 - 16 + 5)*(-4*z + 4*z - z**2).\nAnswer: -124*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: Is 19994879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2)\/88*66\/36*-3.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19 = 4*o - n - 2, -3*n = -5*o + 28. Let l(k) = -5*k + 9. Let m(d) = -5*d + 10. Let f(y) = o*l(y) - 4*m(y). Let j(g) = -4*g + 4. What is 2*f(x) - 3*j(x)?\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*l - 2*b + 8 = l, -2*b = 4*l - 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -51987, -103975, -155963, -207951, -259939?\nAnswer: -311927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 143 (base 7) to base 2.\nAnswer: 1010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 4449, 8557, 12665, 16773, 20881?\n\"Answer: 4108*l + 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*i + 128 = 32. Let m(g) = -g**2 + 1. Let y(a) = a**3 + 2*a**2 - 2. What is i*m(t) - 3*y(t)?\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {u: 4, j: 2, p: 2, m: 5}. Give prob of sequence jmpj.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -91772906*x**2 - 41541379*x wrt x?\nAnswer: -183545812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1*(-2)\/(-14))\/(((-11914)\/(-444))\/(-161))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*i**3 - 5*i**3 - 10*i**2 + 7*i**2 + 4*i**2 + 345.\nAnswer: i**3 + i**2 + 345","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 18670938?\nAnswer: 2, 3, 11, 13, 47, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:45 PM and 7:32 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 0.304316 to three dps.\nAnswer: 0.304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -194004796, -194004798, -194004800, -194004802, -194004804?\nAnswer: -194004806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a be -6 - (-371)\/28 - 5. Let r(v) = 3*v - 2 + 3*v**2 - 13*v - 4*v. Let d be r(5). Does d = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 23*g + 49*g + 1188 = 6*g for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u = 4*n - 7, 2*u = 4*u + 3*n - 11. Let o = u + 4. Let h(l) = 4*l**3 + 4*l**2 + 7*l - 4. Is h(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 1 - 4)*(3 - 2 - 4)*(1 - 4 + 2)*(3*l**4 + 4*l - 4*l).\nAnswer: -9*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 425 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*g**3 + 129*g**2 + 127*g**2 - 7 + 7 - 263*g**2.\nAnswer: -2*g**3 - 7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.126 - 0.066. Let m = -0.44 - -1.48. Let s = 0.54 - m. Which is the biggest value? (a) 0.3 (b) t (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine z so that 4*z**3\/7 - 232*z**2\/7 + 3364*z\/7 = 0.\nAnswer: 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in 551, 723, 897, 1073, 1251?\nAnswer: 1431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from aabgphanghna. What is prob of picking 1 p and 1 b?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1023 and 12?\nAnswer: 4092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*j + j + j)*(3261*j**2 + 34683*j**2 + 2789*j**2 - 6973*j**2 + 13766*j**2) in the form y + i*j**3 + q*j**2 + r*j and give i.\nAnswer: -47526","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -13*o - 42. Determine w(12).\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2498.\nAnswer: 2, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2786923550 to the nearest integer?\nAnswer: 1407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = -x**2 + 11*x + 3. Let s = 14 - 3. What are the prime factors of c(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 1 (b) 2\/5267 (c) 3 (d) -0.3 (e) 3\/8 (f) 2 (g) -1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v be (5 + -4)*(-6 + 8). Suppose v*w = 19*w - 38165. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ehhehh. What is prob of picking 4 h?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort 8, -2, 5, 29 in decreasing order.\nAnswer: 29, 8, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hvu when three letters picked without replacement from {a: 1, h: 1, v: 1, x: 1, u: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1870552?\nAnswer: 2, 73, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 0.319707 millilitres in litres?\nAnswer: 0.000319707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 48, 2056, 34, 0 in decreasing order.\nAnswer: 2056, 48, 34, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) be the first derivative of r**4\/2 + 4*r**3\/3 - r**2 - 4*r + 2. Solve p(k) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -y**4 - 3 + 3*y**2 - 8*y**4 + 7*y**4 - y**3 + y + 4 to l*y + a*y**2 + q + c*y**4 + h*y**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -5*n + 4. Let g be 38*6\/20 + 18\/(-45). Let c = g - n. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -208*m**2 - 2361*m - 4687. What is a(-2)?\nAnswer: -797","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r = 42 - -2. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 91893.12 grams to micrograms.\nAnswer: 91893120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*i + 3*s = 5, -8*s + 4*s + 12 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 v and 2 o when four letters picked without replacement from {m: 3, z: 1, v: 2, o: 10}.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 110111011110110011110101101 + -11?\nAnswer: 110111011110110011110101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-104)\/(-44))\/(51\/((-10098)\/18)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 2, d: 1, c: 4, x: 4, l: 3}. What is prob of picking 1 c, 1 k, and 1 d?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (-31)\/(-28) - (-101 + 50716\/496)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 4.611 + 0.389. Which is the closest to 3? (a) o (b) -0.4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -7 in 0.07, 0.2, -2, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 60 (b) -1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 71*m + 911800241 - 110274141. Round m to the nearest 100000.\nAnswer: -11300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 25835717 - 15095717. Round y to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wwp when three letters picked without replacement from pwmhwwmwmmnwwhhh?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*sqrt(6)\/(sqrt(4)\/sqrt(2))*-2 - (sqrt(108)\/(sqrt(36)\/sqrt(3)))\/(sqrt(243)*2).\nAnswer: -145*sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(-4\/9))**(1\/57) assuming d is positive.\nAnswer: d**(-4\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 14\/6600981 and -151\/12492.\nAnswer: 79211772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = 4845*y + 63093. What is g(-13)?\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -4 divided by -193\nAnswer: 4\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round -3369 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 6707.78 times 0.04\nAnswer: 268.3112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -580135 or -580857?\nAnswer: -580135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = y**3 + 25*y**2 - 28*y - 29. Calculate the remainder when 76 is divided by s(-26).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-3 + -1)*(-1 + 759\/630). Let v = l - -2\/105. Which is the third smallest value? (a) 0.2 (b) 1 (c) v (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (24*r + 14*r**2 - 24*r)*(3 - 5 + 3).\nAnswer: 14*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) be the second derivative of -3*l**5\/20 - 13*l**2\/2 + 19*l. Let y(d) be the first derivative of j(d). What is y(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 161.9051ug?\nAnswer: 0.0001619051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 1, h: 1, q: 1, v: 1, p: 1}. Give prob of sequence vh.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -47 - 47 - 3*a + 69. What is s(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9627.92 centimeters in nanometers?\nAnswer: 96279200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) be the third derivative of -p**6\/120 + 2*p**5\/15 + p**4\/24 - 6*p**2. Let a be n(8). What are the prime factors of a\/12*6 - -34?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6 = 97*j - 189*j + 93*j - 3*z, -15*z = -2*j - 30 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -8*f**2*n**2 - 39*f**2*n + 18*f*n**2 + n**2 + 60*n wrt n?\nAnswer: -16*f**2 + 36*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*h + 33 = 2*v, 3*h - 41 = -2*h - 4*v for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 272514 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q = -140 - -429. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 170 and 6562.\nAnswer: 32810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) be the third derivative of f**9\/30240 - f**8\/5040 + 5*f**5\/12 + 10*f**2. Let g(b) be the third derivative of i(b). Factor g(h).\nAnswer: 2*h**2*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 6046 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 287807368 to the nearest integer?\nAnswer: 16965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.3 and -6852.\nAnswer: -2055.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 0.16341 times 1446.3\nAnswer: 236.339883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 23\/54 and -89\/4?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -22229635*b**5 + 43*b**2 - 93*b + 176?\nAnswer: -1333778100*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*s + 2 - 22 = 3*d, 3*s - 5*d - 8 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -6? (a) -80\/317 (b) 1\/4 (c) 1 (d) 5\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -8 (b) 5 (c) -1 (d) 82\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -1111223 (base 4) to base 13\nAnswer: -265a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((f*f\/(f\/(f*(f*f*(f\/(f**(2\/5)*f)*f)\/f*f)\/f)))\/f*f)\/f)\/((f**(1\/5)*f)\/f)*(f\/(f*f\/(f**(3\/2)\/f))*f)\/(f\/(f**10\/f)) assuming f is positive.\nAnswer: f**(109\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n be (14\/(-14))\/((-2)\/214). List the prime factors of (n\/3)\/(11\/33) - 1.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*-6*1*sqrt(2496))\/((sqrt(6912) + -1*sqrt(6912) + sqrt(6912))*-4).\nAnswer: 5*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 3, -5, -619, 1 in decreasing order.\nAnswer: 5, 3, 1, -5, -619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -3*-38.46766\nAnswer: 115.40298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) be the second derivative of 13*p**4\/12 + p**2 + 22*p + 2. What is the hundreds digit of u(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -22 + 24. Suppose -3*n = r*n - 175. Suppose 0 = 3*w - 43 - n. Is w at most as big as 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = -v**2 - 19*v - 92. Determine o(-17).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 798 and 294.\nAnswer: 5586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = 36886 - 36889. What is the fourth biggest value in -6.2, 2\/25, g, 1?\nAnswer: -6.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:59 AM and 12:21 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-181*h**2 + 181*h**2 + 1 - 2*h**3)*(-4 - 5*h**2 + 4).\nAnswer: 10*h**5 - 5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand -6 + 6 - 2*i**2 + (-71 + 71 + 3*i)*(-1 + 1 - 2*i) - 2*i**2 + 0 - 1 + 0 - i**2 - 1 + 1.\nAnswer: -11*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 259\/18182 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q + 3*f - 3 = -11, 24 = 3*q + 3*f. Suppose 9*l - q*l = 115. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 286992?\nAnswer: 2, 3, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 6968723 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -39*z**2 - 57*z - 24. Let c(b) = 2*b**2 - 8. Determine 3*c(r) - f(r).\nAnswer: 45*r**2 + 57*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zowiouddowouowo. What is prob of picking 1 i, 1 z, and 1 o?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j = 3, -3*w = w + 5*j - 77. Let g(p) = -37 - 3*p + 21 + w. Let q be 2\/(2\/5 + 0). Give g(q).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.1841 - -0.2841. Which is the smallest value? (a) 0.0198 (b) h (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 6175.5417s to hours.\nAnswer: 1.71542825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 225\/(-35) + 9\/21 - -119 and 4?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 42635 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand -65*x**5 + 12*x**4 - 65*x**5 + 131*x**5 + (x**4 + 0*x**4 - 3*x**4)*(-x + 2*x - 2*x).\nAnswer: 3*x**5 + 12*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Work out 406 * -5.\nAnswer: -2030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dj when two letters picked without replacement from {d: 1, i: 1, f: 2, j: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(450)*-3 - (sqrt(450) + sqrt(450) + 2*sqrt(450)*1 + sqrt(450)))\/((sqrt(2940)*-2)\/(sqrt(6) + sqrt(60)\/(sqrt(20)\/sqrt(2)))).\nAnswer: 24*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from tttteqqqtqqtqtteeq. What is prob of picking 2 q and 1 e?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 32802.72 years?\nAnswer: 3280.272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}