diff --git "a/data/dm_maths/full_data_1/1817_11255.jsonl" "b/data/dm_maths/full_data_1/1817_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1817_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let l(x) = -2*x**2 + 2*x + 2. Let p(y) = -4*y**2 + 5*y + 5. Let w = -26 + 31. Let q(f) = w*l(f) - 2*p(f). Let u(i) = -10*i + 1. What is u(q(z))?\nAnswer: 20*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -559.7 - -564.7. What is the nearest to -1 in 2, j, -3, -0.042?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**4 + 4 + p - 2*p**3 - 6 + 0 to d*p**4 + q*p**2 + l + k*p**3 + o*p and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 52 + 53 - 5*t + 2*t - 103 + 5*t. Suppose m - 4 = -m. Determine y(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1936 and 0.033664.\nAnswer: -65.173504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -48, -81, -118, -159, -204?\nAnswer: -253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/64 of a meter?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -525 and -524 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/(-800))\/(81\/12)?\nAnswer: 2\/225","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 230 + -180. Suppose 10*t - 130 - g = 0. What is the remainder when t is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.054 and 202046?\nAnswer: -10910.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v**3 - 10*v**2 + 31. Let z(w) = w**3 + 3*w**2 - 10. Let l(x) = -2*q(x) - 7*z(x). Suppose -p = -4*p - 6. Let y be (p + 2)\/(2 - 0). Calculate l(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*r**2 + 9*r**2 - 9*r**2 + 11*r**2 - 36*r**2 + 4*r**2.\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 48 and -2194574.\nAnswer: -2194526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -237713, -237690, -237667, -237644, -237621, -237598?\nAnswer: -237575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -4*i**3\/3 + 351*i + 2. Let p(g) = -g**2 - 70*g. Give k(p(l)).\nAnswer: 8*l**2 + 560*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + v**2 + 1. Let c be a(-2). Let k = -13 - -12. What is the closest to 0 in c, -2\/9, k?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42 + 41.63. Let z = 0.47 + p. Which is the closest to z? (a) 0.4 (b) -2\/3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/10 + 437*v**2\/2 + 1114603*v\/10 - 87638901\/10.\nAnswer: (v - 69)*(v + 1127)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + -141 - (5 - 4). Let y = 101 + x. What is y rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 2) + (96 - 85) + -6 + 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3071.1 + 3223.\nAnswer: 151.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 8:22 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -43 + 9. Suppose -o = x*o - 180. What is the remainder when o is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + b - 8 = -3*b, 3*b = 6. Suppose r*z = -z + 5. Solve -10 = -z*o + 5 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 46. Let z(g) = 908*g. What is l(z(v))?\nAnswer: 824464*v**2 - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 8*p + 4. Let y be a(-4). Let r be (-2)\/7 - 92\/y. Solve i - 4*i + 3 = 0, -r*h + 4*i = 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/40 (b) -2\/7 (c) -14 (d) -9\/5 (e) 0.5 (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(120\/(-9))*2985\/(-3582)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -894500 rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 21\/4 of a minute?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = -g - 68. Suppose -5*j - 35 = -g, -4*j - 346 = -3*v. Is v at most 108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -6*p + 40. Let i be q(7). Let o = -18606 + 18619.069. Let g = o + -0.069. Which is the smallest value? (a) -0.1 (b) g (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from trmjmmjmjmjtt. Give prob of sequence mr.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 6*h = c - 68, -5*c = 5*h - 215. Let o = 73 + c. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3*sqrt(425) + 3) + ((sqrt(68) - (sqrt(68)*-2 - sqrt(68)))\/sqrt(4) - (5*(sqrt(17) - sqrt(833)) - sqrt(17))).\nAnswer: 3 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1142306?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o = 2*n + 190, 3*n - 793 = 3*o - 886 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from mwwmmmmm?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -263 + 576. Let l = z - 313.00147. Round l to 4 dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 3 = 0, -45*i + 2 = -40*i + 2*j - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-27)\/10*(-412)\/2781. Which is greater: -20445 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 41 = -2*l, b - 132 = -5*l - 19. Suppose -28 = z - 4*z - 5*i, 2*z + 5*i = l. Find the second derivative of -z*x - 2*x**2 - x + 2*x wrt x.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4 = 0, 0 = -2*n - p - 0 - 14. Let v(g) = 17*g - 2 + 3 + 3. Let x be v(n). Round x to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of 0*r + 2809\/3*r**3 - 53\/6*r**4 + 7*r**2 + 1\/30*r**5 + 0. Solve o(n) = 0.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -82, -106, -130?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -280*z + 833*z + 2302*z.\nAnswer: 2855*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 + 24*q - 38 + 22 to the form n*q + j and give n.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.802 + -0.8. Let a = k + -0.00305. What is a rounded to four dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 377614?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37317147 to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j**5\/8 - 9*j**4\/2 + 7*j**3\/8 + 9*j**2\/2 - 5*j\/2 = 0. What is j?\nAnswer: -1, 0, 10\/13, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 411012558317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 99130.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 4*x - 4. Suppose -16 - 16 = -8*f. Determine l(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t**3 - 4*t**2 - 206*t + 401. What is b(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 150069159*d - 244566131 wrt d.\nAnswer: 150069159","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3153 - 5354 - 18898*t + 18897*t as z*t + w and give w.\nAnswer: -8507","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.118 - -0.118. Let f = w - -0.5. Let p be (2\/(-1))\/(4\/4). Which is the third smallest value? (a) p (b) f (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 4 = 6*s - 2*s, 4*l = -4*s + 24 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3*b**2 - 19*b - 2. Let p(c) = c**2 - 6*c - 1. Let i(j) = 6*o(j) - 17*p(j). Give i(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of m**5\/20 + m**4\/2 - m**3\/6 - m**2 + 2*m. Let x be q(-6). Suppose r = 2*r - 2*s - 4, 68 = x*r + 5*s. Does 6 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) - -6*-1*sqrt(152))\/(sqrt(64)\/(sqrt(40)\/sqrt(5))) + sqrt(1900)*-1 + 5 + 0.\nAnswer: -15*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 591608?\nAnswer: 2, 73951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b2d5 (base 16) to base 13.\nAnswer: -17ab8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + w - 2 = 0, 0 = -w + 1 - 2. Suppose 3*l = 4*r - 21 - 28, -3*l + m*r = 45. Let x = l + 22. Calculate the lowest common multiple of 8 and x.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5*l = -15, 0 = 2*i + 3*l + 100 - 119. Let b(r) = -4*r**3 + 3*r**2 + r - 5. Let a(v) = -2*v**3 + v**2 - 2. Determine i*b(f) - 5*a(f).\nAnswer: 2*f**3 + f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -4*r + 16, 0 = -3*r + 2*h - 0 + 12. Solve -2*w = -5*s - 0*s - 7, -3*w - 24 = r*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**2 + 2*p**3 + 0 - p**3 - 3*p**2 - 1 in the form q*p + a + w*p**2 + s*p**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 61252 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010111110 + -11?\nAnswer: -100011000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 37551296683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35 + 38. Solve 6*n - 3*n = -3*x + 3, -x + d*n = 19 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (700\/(-150))\/(3\/((-9)\/2)). Let y(h) = 2 + 14*h**2 - c*h**2 - 6*h**2 + h**3 + h. What is y(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssykktstyksskxykkdd. What is prob of picking 2 k, 1 x, and 1 s?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 7*b**2 + 28*b - 3. What is d(-5)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14111 + -9902. 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 the hundreds digit of ((-1301)\/4)\/(39\/(-156))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -882819000 rounded to the nearest one million?\nAnswer: -883000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -33214079.325+2\nAnswer: -33214077.325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of 0*l**4 + 0 - 1\/3*l**3 + l + 0*l**5 + 0*l**2 + 1\/15*l**6. Find the second derivative of s(w) wrt w.\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -44*r**7\/105 + 133*r**4\/6 + 21*r**2 - 1. What is the second derivative of d(w) wrt w?\nAnswer: -1056*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18027.\nAnswer: 3, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 20*f - 22. Let h be k(21). Let z be (18\/(-24))\/(h + 34\/40). Let c(x) = 21*x + 23. Is c(z) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 12) to base 10\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-80)\/30)\/((-10)\/60))\/(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -1041*o - 10. Let c be (7\/21)\/((-2)\/6). Is m(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*q + 2*q - q + (q - 2*q - q)*(-4 + 3 + 3) + 2 - 2 + 2*q)*(82 + 141 + 69) in the form g*q + k and give g.\nAnswer: -1168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 4:15 AM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 805, 824, 847, 874, 905, 940?\nAnswer: 979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 19 = -4*r, -16 = -0*r + 4*r. Let q(a) = 3*a. Let u be q(j). Suppose -u*d + 112 = d. Calculate the highest common divisor of d and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1239447232 + 5.\nAnswer: 1239447237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 - -1.2. Let k = c + -0.9. Let m(v) = -2*v - 9. Let x be m(-6). What is the second biggest value in -0.1, k, x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*w**3 - 54181*w**2 - 107866*w + 1552 = 0. Calculate w.\nAnswer: -2, 1\/70, 776","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -2\/11, 0.2, 0.9, -5 in decreasing order.\nAnswer: 0.9, 0.2, -2\/11, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**5 + 5*b**4 + 5*b**3 + b**2 - 2*b + 2. Let r(s) = 4*s**4 + 5*s**3 + s**2 - 3*s + 3. Let m(c) = 6*l(c) - 4*r(c). Determine d, given that m(d) = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121541317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 15 = -q. Suppose 25*r - 24*r + 2*m + 2 = 0, 0 = -4*r + 4*m + 40. What is the remainder when q is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 795 and 159.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*t - 19*t + 180. Solve 11*x - t = 14*x, 4*h = -3*x + 1 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1364675*q = 1364819*q - 16992 for q.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10208*p + 12 = -10211*p + h, 54*p + 84 = 7*h - 165 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -11, 5, 49, 133, 269, 469, 745?\nAnswer: 1109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h - 2. Let i = -65 - -89. Suppose -i*l = -22*l + 20. Let y(j) = -j - 1. Determine l*y(d) + 5*z(d).\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4280, -8562, -12844, -17126, -21408, -25690?\nAnswer: -29972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 447 - 438. Let l(b) be the first derivative of 6*b - o - 5\/2*b**2. Let h(c) = 14*c - 17. Calculate -4*h(j) - 11*l(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 7*s**3 + 5*s**2 - 5. Let h(t) = -t**2. Calculate 5*h(k) + l(k).\nAnswer: 7*k**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2381, 221, 39, 1, -5.\nAnswer: -2381, -5, 1, 39, 221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 16*p - 10. Let o be b(15). Suppose 0 = -5*i + 38 + 12. Calculate the highest common factor of o and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 470 or 471?\nAnswer: 471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -753 = -3*r - o, 0 = -8*r + 7*r + 3*o + 241. Let c = r - -94. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*f = 30*f - 14 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 130034 a multiple of 253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -197, -207, -217, -227?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-121)\/22)\/11*8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -154*a**2*r - 62166*a*r**3 + 6854*r**3 + 790*r**2 wrt a?\nAnswer: -308*a*r - 62166*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 7:14 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -963.99999609 - -964. Round a to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -7, 0, -5, 18, 2, -6 in descending order.\nAnswer: 18, 2, 0, -4, -5, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1577, 3, -1\/16963, 5\/4 in ascending order.\nAnswer: -1577, -1\/16963, 5\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40921745?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -180*v**3 - 484 - 597*v**3 - 235*v**3 wrt v?\nAnswer: -3036*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -5*y + 74. Let g(f) = -2*f**3 - 11*f**2 - 7*f + 5. Let p be g(-5). Let a be h(p). Let r be (-3 - a) + 2 + -2 + 16. Solve r*l = 9*l + 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -23*q**2 - 106*q + 9. Let x(k) = -8*k**2 - 35*k + 3. Calculate 6*d(n) - 17*x(n).\nAnswer: -2*n**2 - 41*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 487 - 347. Calculate the highest common divisor of r and 490.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 59*q - 53*q - 24 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (1 + -4) - (3 + 3)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 5*t + 4, 5*f + t = -0*t + 5. Let o be (9\/12)\/((f\/8)\/1). Suppose 5*a - 2*p + 18 = -o, 0 = -2*a + 3*p - 14. Sort 3, 0, a, 2 in descending order.\nAnswer: 3, 2, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**4\/8 + 97*x**3\/4 - 1923*x**2\/2 - 7985*x\/4 - 8083\/8 = 0.\nAnswer: -1, 59, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 448 and 57344?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4848 and 444198.\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u + 7. Let q = -3 + 6. Let l be (q\/(-6))\/((-1)\/10). Give c(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -9*u + 4*u - 17, 0 = 7*u + 5*j - 28 + 51 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -31366*b**3 - 4*b**2 - 10*b + 10. Let m be d(-12). Suppose m = 2*o + z, 2*o - 31223770 - 22976238 = -4*z. Round o to the nearest one million.\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1*(-3 + -4 + sqrt(80) + (sqrt(80) - (-6*(sqrt(80) + (sqrt(80) + (sqrt(80) - sqrt(80)*2) - sqrt(80))) - sqrt(80))))*5)**2.\nAnswer: -4200*sqrt(5) + 19225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13844.\nAnswer: 2, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, l: 1, k: 1, q: 4, p: 3, d: 1}. What is prob of sequence dpe?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*o + 7 = -t, -3 = t + o. Let y = 5 + t. Suppose v + y*v = 16. What is the remainder when v is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -69 - -995. Let q = -441 + p. 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: Calculate prob of sequence ra when two letters picked without replacement from {r: 2, a: 2, j: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.694593l?\nAnswer: 694.593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32821 - 32816. Which is the smallest value? (a) r (b) 3 (c) -1\/8 (d) -1.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*((g*g\/(g*g\/g**(-3\/4)*g))\/g)\/g*g**8)**(-35) assuming g is positive.\nAnswer: g**(-735\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 8368.47\nAnswer: 8364.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*o = 67*o - 90. Let x(g) = 2*g**3 + 3*g**2 - 4*g + 2. Let u be x(2). Let d = o - u. Calculate the greatest common divisor of 8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -137 + -4?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 4\/(-12) + 381710\/28 + (-3)\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4*u**2 - 118*u + 944. Determine t(10).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.37 - -7228.\nAnswer: 7226.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert b8299 (base 13) to base 3.\nAnswer: 121212201010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 9*h + 5. Let w be v(-8). Let r be 1\/(w\/(-15))*1. Find the second derivative of 0*f**5 + 4*f - f**5 - 5*f**r + f**5 wrt f.\nAnswer: -100*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**6\/120 + 3*a**5\/20 - a**3\/2 + 13*a**2. Let r be b(-9). Is 1 - (0 + r + 5) - -612 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10782132 a multiple of 354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23843 = 2*z + 3*u, -z = -5*z - 2*u - 47666. What are the prime factors of z\/(-10) + 1 + 18\/30?\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6944 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 973*n + 35078. What is p(-36)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.0695 - -0.0695. What is the closest to n in -1\/14, 4, 5?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-1 - -8) - 2 - 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 71 - 23. Let v(o) = -o**2 + 48 - g. Let f(n) = -27*n**2 + 5*n + 5. Let r(d) = 13*d**2 - 2*d - 2. Let j(s) = -2*f(s) - 5*r(s). What is v(j(u))?\nAnswer: -121*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/(2*sqrt(80) - sqrt(5)))**2 + sqrt(170)\/(sqrt(40)*2) + 3.\nAnswer: sqrt(17)\/4 + 164\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 2672.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 22*f. Let x(r) be the second derivative of r**4\/12 + 184*r. Calculate g(x(k)).\nAnswer: 22*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 105 (b) 2 (c) 1\/4 (d) -21\/5 (e) 0.0079\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-7)*((-378)\/2)\/27.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2471023003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 27767\nAnswer: -2\/27767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1)**4*(l\/(l\/(l\/(l\/l**(-1\/5))))*l)**6 assuming l is positive.\nAnswer: l**(44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 4*p + 1. Let a(s) = 3*s**2 - 9*s - 2. Let m(j) = 3*a(j) + 7*c(j). Let d be m(-1). Solve 0*y = -2*y + d for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 5*o**2 - 6*o + 6. Let n be y(-6). What is the common denominator of (n\/(-8))\/(8\/124) and (-14)\/16*(1 - -21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 2, -51 in ascending order.\nAnswer: -51, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a century in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 9:33 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*n - 8 = n, -5*n = -20. Suppose 2*h + l - 61 = j, -5*h + 16 = 3*l - 138. What is the remainder when h is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2681, -5207, -7723, -10223, -12701, -15151, -17567, -19943?\nAnswer: -22273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -111101110 (base 2) in base 5?\nAnswer: -3434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -74767 divided by -3?\nAnswer: 74767\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 67*b - 2837. What is the least common multiple of 2422 and m(63)?\nAnswer: 9688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -60, -169, -394, -777?\nAnswer: -1360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/3 (b) 2 (c) -1\/175 (d) 0 (e) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 201778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56 - 24. Let k(v) = -v + 4. Let c be k(5). What is the tens digit of (1\/c - -16) + d\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3770 and 40.\nAnswer: 15080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2448174*i. Let y(a) = 26*a. Determine x(y(s)).\nAnswer: -63652524*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1127, 4223, 9377, 16583, 25835, 37127, 50453, 65807?\nAnswer: 83183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.9 + 7. Let y = -11407\/3 + 3850. Let k = -48 + y. What is the closest to k in 4\/3, 2\/15, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-8)*(-18)\/315*(-38)\/19.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 3 + 10 - 11?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74, -264, -570, -992, -1530?\nAnswer: -2184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -518*q - 191*q - 748*q + 320*q - 3*q to f*q + a and give f.\nAnswer: -1140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-32)\/(-12) - 1\/(-3). Let q(f) = -4 - n*f**2 + 4 + 5*f**2. Let w(d) = 4*d. Calculate w(q(y)).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 159044 to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 280\/1800 + (-3)\/(-45)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 1)*(3*q - 2 + 2) + (5*q - 3*q + 0*q)*(-3 + 5 + 0).\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 + 1)*26*(-9)\/(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49584050 divided by -1115?\nAnswer: -44470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 - 3416*t - 1222060.\nAnswer: -(t + 406)*(t + 3010)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 2:45 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 2*g - 3. Let s(c) be the third derivative of -c**5\/60 - c**4\/24 + c**3\/3 - 7*c**2. What is 3*q(w) + 5*s(w)?\nAnswer: -2*w**2 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 - 22. Solve 0 = 2*o - 5*p + 31, 4*o + 5*p - s = 2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -13.01. Let p = 13 - 18. Sort 0, p, r in decreasing order.\nAnswer: r, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -81.5 - 304.5. Let s = a + 385.9999385. Round s to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 542 or 541?\nAnswer: 541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5683875 is divided by 1809.\nAnswer: 1806","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*q - 2*q. Suppose x + q = -2*d, -2*x - 5*d - 4 = 17. Let y(f) = f**3 - 55*f**2 + 750*f - 4. Let w be y(25). Which is bigger: x or w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.46701ml in litres?\nAnswer: 0.00346701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, -5, 4.\nAnswer: -6, -5, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u + 2*u - 7*u)*(6*u**2 + 3*u**2 - 8*u**2 + 2*u - u**3).\nAnswer: u**4 - u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a (base 16) in base 8?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((27\/(-2))\/9)\/((-3)\/8). Suppose 0 = -2*p + n*m + 24, 2*m = -p + 3*m + 7. Is 11 a factor of (p - -38) + (-9 - -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**3 + 20*k**3 - 11*k**3)*(-33 - 45 + 76 - 65*k).\nAnswer: -715*k**4 - 22*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 879, 878, 877, 876, 875, 874?\n\"Answer: -a + 880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of f**6\/75 + 2*f**5\/25 + f**4\/15 - 4*f**3\/15 - 3*f**2\/5 + f + 5. Let c(s) = 0. Calculate s.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6043 + 3040 - 496*p**3 + p**2 + 3005 to the form k + r*p + d*p**3 + x*p**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 6*h**2 - 3. Let a be o(-4). Find the third derivative of -4*t**5 - a*t + 3*t**5 - 5*t**2 + 29*t wrt t.\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1221, 6155, 14415, 26031, 41033?\n\"Answer: 5*y**3 + 1633*y**2 - 417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4715192*z**2 + 2322574*z?\nAnswer: -9430384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - u - 16. Suppose k = -k. Let r be q(k). Let x = r - -83. Is x a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n**5\/3 - 60764*n**4\/3 - 1582472*n**3\/3 - 1460936*n**2\/3 + 1582468*n\/3 + 1521700\/3 = 0. What is n?\nAnswer: -25, -1, 1, 15217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/288*(1 - 12\/8). Which is the closest to -1? (a) 5 (b) h (c) -2\/17 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s + 3*y - 22, 13*s - 3*y + 26 = 8*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 5:25 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**2 + 152*l + 195. Calculate the remainder when 74 is divided by t(77).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**2)**(-23)\/(q**1)**(2\/55))**(-32) assuming q is positive.\nAnswer: q**(81024\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*y = -4774 - 440. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7, -16556, 809 in increasing order.\nAnswer: -16556, -7, -4, 809","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssc when three letters picked without replacement from {s: 2, c: 1, z: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4*v, 0*x + 3*x + 4*v - 80 = 0. What is the remainder when 56 is divided by x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 44\/3. Let d = -4.3 - -4. Put d, u, 0, -4 in ascending order.\nAnswer: -4, d, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1535392 and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -29152450.\nAnswer: -2\/14576225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13626)\/(-4) + (-2 - (-40)\/16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of o**6\/120 - o**5\/12 + 5*o**4\/24 - 2*o**2. Let z be j(4). Let w be 2\/(-4)*0 + 2. Sort z, w, -2.\nAnswer: -2, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -h**4\/66 + 5*h**3\/33 - 10*h + 14. Let i(z) be the first derivative of r(z). Factor i(u).\nAnswer: -2*u*(u - 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -69 in 92, 0.05, 2\/3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 342 a factor of 58582206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*a + 14*a + 23*a + 25*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 6 + 7)*(-1 + 0 + 2)*(3*c + 4*c - 4*c) as w*c + n and give w.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -13. Suppose 2*n + 2*j = 126599996, -n + o*j = 3*n - 253200004. Suppose -3*m + 6*m = n. Round m to the nearest 1000000.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-5))\/12*8*(-8)\/(-8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1622, 2374, 3108, 3824, 4522, 5202?\n\"Answer: -9*m**2 + 779*m + 852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -467 or -2\/56473?\nAnswer: -2\/56473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 101110101011100100000001 (base 2) in base 9?\nAnswer: 25021070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.629 (b) -0.4 (c) 6\/7 (d) -20 (e) 0 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19 - 11601*o + 3633*o + 3556*o + 3758*o + (2*o - 3*o - o)*(1 + 0 - 3).\nAnswer: -650*o - 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000125239 rounded to 6 decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a - 8. Let z(w) = w - 10. Let l(p) = 6*c(p) - 4*z(p). Let n be l(10). Suppose -9*g = -6*g - 9. Solve 6*u - n = g*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1812389\/8 - 226558. Let y = -67681\/40404 - 5\/1443. What is the common denominator of i and y?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -15*y**3 - 118*y**2 - 407*y - 377. Let a(p) = -5*p**3 - 39*p**2 - 136*p - 126. Let z(v) = -17*a(v) + 6*r(v). Factor z(x).\nAnswer: -5*(x + 2)*(x + 3)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1920?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -11425, -10, -14, -2, 5, 0, -5 in ascending order.\nAnswer: -11425, -14, -10, -5, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 6:42 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-600)*-9*8\/(-12).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -34*s**2. Let x(v) = 60*v + 1. Calculate x(z(d)).\nAnswer: -2040*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u - 4. Let m be (-12 - -8)\/((-8)\/6). Calculate k(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -16*n**2 - 345*n**3 + 10 + 15*n - 30 + 344*n**3. Let v be p(-17). Solve 4*r + 10 = -x - 2*x, -r + 5*x - v = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1291*d**4*f**3 - 5790*d**2*f**3 - 9*d*f**3 + 3*d*f - 2*f**3 - 402*f + 4 wrt d?\nAnswer: -15492*d**2*f**3 - 11580*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 90 - 76. What is the second smallest value in w, 2, -3\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 9) to base 16.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28386 is divided by 9436?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**3 + 0*c**3 + 4*c**3)*(0*c + 3*c + 4*c).\nAnswer: 28*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2492647?\nAnswer: 739, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4347 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 841?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10 from -3134.\nAnswer: -3124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - (-6)\/(-6)) + -4 - -7. Solve 0*j = -2*j - 8, 0 = -2*h + j + i for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttdtdddxxdxtxxddd. Give prob of sequence xxxx.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -61? (a) 4 (b) 2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + 0)\/((-6)\/12). Let w = -2 - -10. Let m = -8 + w. Put r, -5, m, -0.4 in increasing order.\nAnswer: -5, r, -0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 u when four letters picked without replacement from {q: 4, n: 2, i: 10, u: 4}.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*18\/(-936)*-26?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 52076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-192)\/300)\/(-8)*-5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25\/114 + -1\/19. What is the third smallest value in 0.2, -0.1, -1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5259, 5252, 5245?\n\"Answer: -7*i + 5266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 153823 (base 10) to base 7.\nAnswer: 1210315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/15)\/((-11)\/33))\/(66\/(-10))\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*v = 84. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 11*d**2 + 35*d - 453. What is y(11)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*l**3 + 36*l**3 + 34*l**3)*((-3*l**2 + l**2 + l**2)*(-4 + 2 + 4) + 0 + 0 - 2*l**2 - 3*l**2 + 0*l**2 + 2*l**2).\nAnswer: -385*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(3\/5)*j*j**4)\/(j*j**(-2\/3))**(10\/7))**(1\/11) assuming j is positive.\nAnswer: j**(538\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 - -0.1. Let i = o - 0.1. Let y = 0 + i. What is y rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 130712 - 130642. Let z = 25 + 14. Calculate the remainder when y is divided by z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -4*x**5\/5 + x**3\/3 - 71*x**2\/2 - 13. What is the second derivative of y(i) wrt i?\nAnswer: -48*i**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/(sqrt(12) + (sqrt(768) + (sqrt(768) - 2*sqrt(768)) - sqrt(12)) + sqrt(12)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35)*-4)\/sqrt(7) - sqrt(5))**2 + 5.\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 129923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 6, 0 = -4*d - 23*n + 18*n + 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1787.509 decades?\nAnswer: 214501.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1167128646307992182 - 1167128640659603980.69999749. Let k = 5648388238 - x. Let v = -36.7 + k. Round v to seven decimal places.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 459189495 or 459189496?\nAnswer: 459189496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 6*t**2 - 8*t + 2. Let y be f(4). Suppose -1086 = -5*m - y*p, -m - 3*p = -7*p - 204. Suppose u + m = 5*u. Is 18 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -154*b - 753. What is m(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -14*i**2 - 69*i + 85. Let w be f(-6). Let v = 5 - 3. Which is the biggest value? (a) w (b) 3 (c) v (d) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.322605148 + -0.3226. What is o rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -261.42858*2.\nAnswer: -522.85716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-74)\/(-14) - 5) + 33\/7. Suppose -v - 6 = -2*q, -2*v + s = -3*q + 13. List the prime factors of q\/(-18)*6*-48.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/4, 75, -3, 4, 2\/7?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -138, -22, 17, 0.4.\nAnswer: -138, -22, 0.4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 78 + -55. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.4 plus -106?\nAnswer: -83.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 6 - 3)*(2*o + 0*o - 3*o) - 3*o + 0*o - 5*o + 2 - 2 + 2*o)*(-2 + 2*o + 2)*(0*o + 4*o - o)*(0*o**2 + 0*o**2 + o**2).\nAnswer: -42*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.91 + -2.01. Put -2, n, -4, 5 in decreasing order.\nAnswer: 5, n, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 - 31.6. Let g = f + 2.6. Let j = 50\/11 - 205\/33. Which is the third smallest value? (a) g (b) j (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 563.796 and 925.\nAnswer: 1488.796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9720519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8530 - (4\/18)\/(4\/72*-2) is divided by 39?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y - y**2 - 2 - 3*y + 0*y)*(-6 + 6 + 8*y**2) to v + m*y**4 + r*y**3 + l*y**2 + f*y and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000097938 rounded to six dps?\nAnswer: 0.000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x - 16. Let z be (6\/15)\/(0 - 2\/320). Let v be z\/(0 - 4)*-1. Let m be h(v). Which is smaller: m or 2\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -635 (base 15) to base 9\nAnswer: -1825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 0 = -0. Let f be (-5)\/((3 + -2)*-1 + h). Suppose -5*t = -3*t. Solve -3 = -5*m + f*w - 8, t = -2*m - 2*w - 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -y**5\/20 + y**4\/12 + y**3\/6 + 18*y. Let l(s) = -s**3 + 5*s**2 + 5*s. Give 5*g(z) - l(z).\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (39237\/121)\/(-29) + 11. What is the closest to w in -3, 2\/5, 16?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 4*a - 31, u - 4*a + 2*a = -13. Let b(q) = 31*q - 16. Let c(y) = 46*y - 24. Let g(r) = u*c(r) + 7*b(r). Is g(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 10:44 PM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/(-16))\/1)\/((-3)\/3)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -24101, -24040, -23979, -23918, -23857?\n\"Answer: 61*m - 24162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -4*p + 34. List the prime factors of p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -154. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 0*j + 180. Suppose 32 = 3*v + y, -4*v + 0*y - 3*y + 51 = 0. Calculate the highest common divisor of j and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26.49867 - 26.5. Round y to 4 dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = v + 64. Let d be (-9)\/6*v\/6. Let u be (-1)\/d + (-1)\/(-2). Which is the third smallest value? (a) -4 (b) u (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9.655392 months?\nAnswer: 0.0804616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 54*x + 373. Let m be n(-46). Which is bigger: m or 29\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/457132 and -47\/2478.\nAnswer: 9599772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 248 = -23. Let o = 30\/331 + -20491\/3310. Calculate the common denominator of o and 4\/(-6)*h\/8.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2 = v, 3*c - v + 1 = v. What are the prime factors of (c\/3)\/((-6)\/(-72)) + 289?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1445629224 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1553222855 and -915.27.\nAnswer: -1553223770.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120, -146, -84, 66, 304, 630, 1044?\nAnswer: 1546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/1701 and (5 - 4)\/((12\/(-110))\/(360\/2800)).\nAnswer: 6804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(78)\/sqrt(6) + sqrt(13) + sqrt(117) + 0.\nAnswer: 4 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -432 less than 1321147?\nAnswer: 1321579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 3*k - 43, -331*k = 4*l - 329*k - 34 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17489469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4*g = -16, -7*s + 12*s - 3*g + 10 = 0. Let m(z) = -4*z - 2. Let c(n) = -n. What is s*m(p) - 5*c(p)?\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67410, -67392, -67368, -67338, -67302, -67260?\nAnswer: -67212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**3 - 8*c + 0*c**3 + 392 - 390 to the form j*c + u*c**3 + q*c**2 + o and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**2 + 5. Let y(q) = q**2 + 1. Let i(w) = w**2 - 16*w + 61. Let n be 33\/22*(4 + 0). Let r be i(n). Give r*b(a) - 3*y(a).\nAnswer: -a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Is (-5873)\/7*(0 + -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -200*a**2. Let i(p) = 9*p**2. Let x(l) = -2*b(l) - 45*i(l). Let r(g) = -23*g. What is x(r(j))?\nAnswer: -2645*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 11) to base 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 706, -79, 0.\nAnswer: -79, 0, 706","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -3*h + 9. Let i be -95 - (h\/4 - -6). What is the units digit of i\/8*(-72)\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (-2 + -3)\/1. Suppose -m + 4*o = 18, 3*o = m + 13 + 1. Let v = m + q. Solve 12 + 3 = v*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.647 and 0.19463694844.\nAnswer: -0.45236305156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, l: 1, f: 2}. What is prob of sequence llf?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 2*p + 11. Let f be v(-4). Suppose -f*u - 4 = -10. Solve -10 = 4*n - u for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/2 + 15\/10. Suppose 0 = -j - 4*z + 86, -4*j - 3*z + z + 288 = i. Let y be 28\/j + (-2)\/5. Solve 2*u - 3*u = y for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 11*f - 9*f. Let x be 135\/f + 1\/4. Calculate the highest common divisor of x and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/4))**(25\/6))**(1\/28) assuming a is positive.\nAnswer: a**(25\/672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 8. Suppose c - 2*g = -s, 0*c - 3*g + 17 = -2*c. Which is greater: c or -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 7. Let w(z) = -4*z**t + z - 7 + 11 - z**3 + 2*z. Determine w(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/17312 and 3\/128?\nAnswer: 69248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.4191173 milligrams?\nAnswer: 0.0000000004191173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -60.38 not equal to -100\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1078)\/(-7)*26\/4. Suppose 2*y = 0, 2*a + 0*y + 696 = 2*y. Let p = a + m. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56522566 divided by 9.\nAnswer: -56522566\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i + 2*l + 24, -2*i + 63*l - 75*l = 144 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1586 + -1587. What is the closest to o in 0, 4, -11\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -l + 35, 5*l - j - 151 = -5*j. Let r = 24 - 39. Let d = l + r. 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: Let h(j) = 5*j - 11. Let o(l) = -3*l + 5. Determine -6*h(c) - 13*o(c).\nAnswer: 9*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 16 = 0, 3*l = -2*l + 3*w + 8. Let m = 6 - l. Suppose -m*d + 0*j - 4*j - 2 = 0, 5 = -j. Calculate the least common multiple of d and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1443 (base 10) to base 3\nAnswer: -1222110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**41*s)\/s*s**(-3\/7))**(-27) assuming s is positive.\nAnswer: s**(-7668\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*m = 411, 106 = 2*n + 5*m - 295. List the prime factors of n.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 7.5\nAnswer: 37.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 15. Is ((-4)\/10)\/(j\/705) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**3 - 2*h**4 + 5*h**2 + 2*h**2 - 7*h**2 - 4*h to the form m*h**3 + a*h + s + y*h**4 + w*h**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 44602585 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 38*q - 4. Let x be (-62)\/10 - (-11)\/55. Let g be v(x). Let i be g\/(-60) + (-6)\/(-45). Solve -2*p = 2*u + 2, u + i*p = -4*u - 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -4\/23 (b) 0.2 (c) -2\/13 (d) 2\/11 (e) -9\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100220 + 10?\nAnswer: 101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59050 = 1481*w + 44925 - 18077 for w.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00834544 rounded to 5 dps?\nAnswer: -0.00835","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54806 + -54796. Suppose -2*n - 88 = 2*n. Put g, -2, n in decreasing order.\nAnswer: g, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43983 + -43979. Determine w so that -1\/2*w**o + 17\/2*w + 15\/2*w**2 + 3\/2*w**3 + 3 = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 378, 394, 416, 450, 502, 578?\nAnswer: 684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 3*c, 1567*i + c + 39 = 1575*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w - 6*w - 2*w - 6. Suppose 0 = 4*z + 18 + 2. Suppose 5 + 27 = -4*q. Let o(u) = 7*u + 4. What is q*o(y) + z*g(y)?\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 255 divide 1070190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 6*o - 140 = 0. Let v = -26 + 0. Let j = v + o. Solve -4*w = 12, -j*d + 7 = -3*w - 8 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c**2 - 5. What is the remainder when a(-3) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -4. Let h be -4*-2*2\/8. Suppose -16 = -l + 5*v, -m*l + h*v + 20 = v. Solve -k = -l + 1 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1116 and 1152?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of j**6\/360 - 3*j**5\/40 + 7*j**4\/24 - 17*j**3\/3 - 2*j. Let l(z) be the second derivative of t(z). Calculate l(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f = 2*a + 4*f - 28, 20 = 4*f for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*x + 20*x + 136800 = 89*x. Is 60 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288 is divided by 101.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 25 + 95. Let u be (43032\/b)\/((-2)\/23285). Let m be u - (-1 + 2 + -3). What is m rounded to the nearest one million?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 4:26 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand k - k**2 - k + (k - 2*k + 3*k)*(5*k - k - 3*k + (-2*k + 2 - 2)*(3 + 1 + 1)).\nAnswer: -19*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**3\/15 - 568*m**2\/15 + 1954*m\/5 - 1764\/5 = 0. Calculate m.\nAnswer: -294, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -3. Let y(o) = 910*o + 18200. Let f be y(-20). Solve f = -5*l - r + 13, l = t*r - 3*r + 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 565600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*c + 52*c - 198 = 0 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qbcbcnnabvac. Give prob of picking 2 n and 1 a.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 - 18. Suppose -3*j + y = -j. Let v = 32 + -10. Calculate the lowest common multiple of v and j.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gssggbxshssubgs. What is prob of picking 1 u, 2 g, and 1 h?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/4 of a second?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/((-77)\/(-22)) + 14360\/14?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**3 + 29*w**2 + 46*w + 37. Let f be o(16). Solve -f*l + 23 = -2*a, -2*l - 2*a + 10 = -3*a for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 1)*(42849*v - 85610*v + 42896*v - 15*v**2).\nAnswer: -15*v**2 + 135*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.8 + 0.2. Let y be (-4648)\/(-7392) + 2\/(-24). Which is smaller: y or k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11140*a - 33451*a + 11203*a + 11138*a.\nAnswer: 30*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50372722 divided by 1574.\nAnswer: 32003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5*x**3 - 10*x**2 + 14*x + 35. Let z be -15*(-22)\/825*(-1 + 16). Is i(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21828304 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xttxxxxt. What is prob of picking 1 t and 3 x?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-215)\/(-129)*144\/(-1600)?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 66821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 35*s - 156. Determine g(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -30, -29, -28, -27, -26?\n\"Answer: a - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7010 - -7982.7. Let k = -973 + u. What is the nearest to 1\/2 in -2\/9, k, -1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6065.4 - -6065.93619. Let g = r - 0.541. What is g rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**5*j**(-1\/11))\/(j**(-8)\/(j\/j**7)))\/((j**(-1\/2))**(-2))**(19\/2) assuming j is positive.\nAnswer: j**(-57\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1.231 * -0.08\nAnswer: 0.09848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -173 - -251. Let v = i - 77.99913. What is v rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/295 or -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 88 (b) 1.5 (c) 317\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*f - 5*f + 14*f - 25*f.\nAnswer: 13*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 6 = -0*t. Let n = 3 + 3. Let p = n - -5. Calculate the least common multiple of p and t.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187300192.\nAnswer: 2, 5853131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9607.332cm to kilometers.\nAnswer: 0.09607332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 11*g + 2. Let f(v) = -60*v - 11. Let z(l) = -33*c(l) - 6*f(l). Let d(h) = 8*h + 2. Determine z(d(m)).\nAnswer: -24*m - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 + 1 + 25 - (-1441 + 1443).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, l: 2, s: 8}. Give prob of picking 1 s and 2 l.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 44 in -68, 14\/9, -0.1, -13, 2\/9?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -3*h**4 + 348*h**3 + 8371479*h**2 - 8372508*h - 16743636 = 0.\nAnswer: -1614, -1, 2, 1729","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -98.009 + 98. Let l = x + 0.629. Let w = l - 0.92. Sort 0.2, -3, 1\/2, w in descending order.\nAnswer: 1\/2, 0.2, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6717194762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6818*(372\/(-176) - -4). Let w = j + 12857. Find the common denominator of w and ((-1)\/(-6))\/(4\/(-606)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1110220121210 + 11010?\nAnswer: -1110220110200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) -1.4 (b) 12\/23 (c) 20 (d) 0.4 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.358456 rounded to 3 decimal places?\nAnswer: 0.358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(-3\/2)\/x))\/((x*x*x*((x\/x**4*x)\/x)\/x)\/x)*x\/(((x*x\/x**(-4\/9)*x)\/x)\/x)*x\/x**(-7) assuming x is positive.\nAnswer: x**(235\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(5)*3*2 + sqrt(5) + -2 + 2)**2 - (-5 + 5 + sqrt(405)*-1)**2).\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.0268154 minutes in weeks?\nAnswer: 0.00099472375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/110 + 148\/55. What is the common denominator of -33\/5 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-3) - (-328)\/(-16). Let t = 41\/2 + q. Factor t - 1\/3*v**2 - 1\/3*v + 1\/3*v**3.\nAnswer: (v - 1)**2*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1415*f**3 + 1801*f**3 + 1278*f**3 + f**2 + 4*f + 649*f**3 in the form x*f + n*f**3 + l + w*f**2 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2816 - -12)*(1\/(-4) - 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((35\/5)\/(-21))\/(-1)*-6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 557021 - 557020.6. Let z = 0.1 - -0.4. What is the fourth smallest value in d, 3, 14, z?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, l: 1, z: 4, w: 3, v: 1, f: 5}. What is prob of sequence zuw?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12443 + -8155. Does 8 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (0 - (-2 + 4))) + -7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -18*p**2 + 253*p - 506. Let z be l(2). Let j = -1 - -1. Let f be 2 - j - z\/18. Solve -f = -3*n - 0*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2043*f - 2062 + 79696 for f.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + k - 6*k - 9, 4*k = -j - 9. Suppose 84 = p + j*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o - 4*i = 90, -96230*i + 48123*i + 48112*i = -2*o - 40 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, v: 3, u: 2, f: 1, m: 3}. What is prob of sequence vfu?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-56)\/(-66) + 1\/3 and 53\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 11.1. Which is the closest to r? (a) -4 (b) 0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 36*k**2 - 30*k + 53. What is the hundreds digit of n(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3874?\nAnswer: 2, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9987631.\nAnswer: 307, 32533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ezte when four letters picked without replacement from {e: 2, l: 1, t: 1, z: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 389633692 to the nearest integer?\nAnswer: 730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64 - 39. Suppose 11*d - 16*d = -n - 154, -5*d + 158 = -2*n. Calculate the smallest common multiple of j and d.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggeegggggggggeg. Give prob of sequence gg.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -6) + 0 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.138 (b) 28 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 38727287+-12329\nAnswer: 38714958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 5, -2\/305, 175?\nAnswer: -2\/305","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -474 + 480. What is the remainder when g is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -108, -215, -322, -429?\n\"Answer: -107*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211378 + 24*g**3 - 178870 + 390248.\nAnswer: 24*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) + 0)*-6)**2.\nAnswer: 14256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -r**5\/100 + r**3\/30 - 231*r. Factor u(s).\nAnswer: -s*(s - 1)*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*t - 2 - 1 = 0, -4*t = -3*d - 21. Let q(i) = -i**3 - 2*i**2 + 2*i + 2. Let j be q(d). Let n = j + -1. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -3*l + 1378, 2*l - 2*z = -3*l + 2276. Does 57 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34518 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**4 + 6*i**3 + 4*i + 12?\nAnswer: -12*i**2 + 36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1881073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 689 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -296 divided by 64?\nAnswer: -37\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one quarters of a year?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 172, 277, 382, 487?\nAnswer: 592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130258 + 0.01.\nAnswer: 130258.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 12*k + 185012, 4*t - 2*k = -7*k + 148028. What is the hundreds digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17d2c (base 14) in base 12?\nAnswer: -2aa18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1867006?\nAnswer: 2, 31, 30113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2279333?\nAnswer: 7, 181, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 875 - 2585\/3. Which is bigger: 12 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3794*g**2 - 25*g + 1 wrt g?\nAnswer: -7588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(288) + 0)*-1*-5)**2 - (0 + 4*sqrt(288)*1 + sqrt(288))**2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 7*r. Let z(q) = -4*q + 15 + 2*q - 6 - 8. Let c(b) = l(b) + 5*z(b). Suppose -2*h - 12 = -4*x, 6*x - x + 15 = -5*h. What is c(h)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-85)\/20 - -4)\/(2\/8). Let p(o) = -20*o - 1. Give p(n).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82917 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5 + sqrt(216)\/sqrt(8) + sqrt(216)\/sqrt(8) + sqrt(27) + -4 + 3)*1.\nAnswer: -8 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 5*g + 3 = 30, 5*g - 15 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57*b + 191*b - 50724*b**2 + 50710*b**2 + 5*b**5 wrt b.\nAnswer: 100*b**3 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -88 times -0.2\nAnswer: 17.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 74431137 and 30?\nAnswer: 744311370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -373.8978 + -69502.\nAnswer: -69875.8978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-8 - (-11 + -3))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 3. Suppose -r + 28 = 5*t. Suppose -4*p - 19 = t*v, p - 6 = 2*v - 14. Let s(x) = -x. What is s(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -2*j + 4, -2*j = -5*w + 66. Suppose w*d - 4310 = 9*d. Suppose -2*m + 2132 = d. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 7. Let i be 4 + (4 - 10\/2). Let b be d(i). Solve -1 = -r - p + 3, 0 = b*r + p - 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1780 - -5?\nAnswer: 1785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.29769 micrograms in milligrams?\nAnswer: 0.02829769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x**3 + x**2 + 5*x + 5. Let h(y) = -6*y**3 - y**2 - 7*y - 7. Suppose -18*r + 10*r + 40 = 0. What is r*h(n) + 7*i(n)?\nAnswer: -2*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 90366798 > 90366803?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100001101011010111111 (base 2) to base 11.\nAnswer: 694129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -69 - ((21 - -1) + -69).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -100.\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 259241 and 363255?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + -2 - 0)\/(-2). Let y be -2 + (1 + -1)\/p. Let u = 13 - y. Solve -2*v = -5*v - u for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9137921 to the nearest integer?\nAnswer: 3023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -285*v**5 - 23*v**2 + 9 wrt v?\nAnswer: -17100*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 162 - g**2 + 155 - 317. Let s(l) = -22*l**2. Determine j(s(v)).\nAnswer: -484*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 171588249?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2122, -2071, -2010, -1933, -1834, -1707?\nAnswer: -1546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 153*w**2 + 157*w - 91. Let b be q(154). Calculate the greatest common divisor of 1378 and b.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 + -0.1. Let o be (4784\/56 - 1) + (-8)\/(-14) + -12. Which is the third smallest value? (a) -3\/2 (b) o (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -1 - -1) + 8 + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d + 5. Let o be q(-4). Let y(n) = n**2 + n - 5. Let g be y(-6). Suppose -g = 4*v + v. Sort v, o, 4 in decreasing order.\nAnswer: 4, o, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -41026592 to the nearest 1000000.\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.37 - 0.03. Let o = -19 + 17. Let p = 3 + -2. Sort s, p, o in decreasing order.\nAnswer: p, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + m = -2*r + 9, -2*r + 18 = 4*m. Factor 3*f**4 - 7*f**4 - 1 + f**4 + 6*f - 6*f**r + 4.\nAnswer: -3*(f - 1)*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*a + 3*a**2 - 4*a**5 - a**2 + 86*a**5 + 141*a**5 - a**2 wrt a?\nAnswer: 4460*a**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, -2423, 2\/3 in ascending order.\nAnswer: -2423, 2\/3, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -912*f - 80550 + 1335 = 1953 for f.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1190*b = 1179*b + 110. What is the lowest common multiple of 120 and b?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53 - 108. Let v = 65 - k. Does 40 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -3*b + 5*c, 4*b + 5*c - 153 - 4 = 0. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 54.07519 meters?\nAnswer: 54075.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*q = -5, j - 7 = 4*q - 4. Let w = j - 5. Solve w = 2*s - 4 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210415 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -7*c**4 + 5*c**3 + 15*c - 5. Let z(s) = -3*s**4 + 2*s**3 + 7*s - 2. Let n(o) = 2*f(o) - 5*z(o). Find the second derivative of n(u) wrt u.\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -30684, -30680, -30676, -30672, -30668?\n\"Answer: 4*y - 30688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 47 - -57062?\nAnswer: 57120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4967969?\nAnswer: 4967969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 141893 by 4.\nAnswer: 141893\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 2*x**2 + 4*x. Give d(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 63*0.4\nAnswer: 25.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15718 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2525270271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -b92a7?\nAnswer: b92ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8a - 3?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134714*s - 200712*s + 386511*s + 410896*s.\nAnswer: 731409*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + (-252)\/30 + 4 + (-2)\/(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1298975994 and 25812?\nAnswer: 12906","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 737 and 335.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 140 - 84. Suppose 4*l + 5*a - 66 = 0, -4*l - 6*a + 4*a + 60 = 0. Suppose 0 = l*h - 311 + 45. Calculate the remainder when j is divided by h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15.738 != 71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -2.8. Which is the smallest value? (a) -0.1 (b) 5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -659*y**2*z**5 + y**2*z**2 + 31*y*z**5 - 7*y*z**2 - 752*y wrt z?\nAnswer: -39540*y**2*z**2 + 1860*y*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j + 12 = 14*j. Let x = 9 + -5. Factor -16*w + 6*w - j + x*w + 10*w - w**2.\nAnswer: -(w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 20*b + 6. What is the units digit of m(-20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1519989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 - 156\/36)*18741\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 109*s**3 + 3*s**2 + 5*s - 11942 wrt s?\nAnswer: 327*s**2 + 6*s + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56.5 - -57. What is the third biggest value in -8\/5, w, 5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/5, 1\/1367, 1.2, -2.2, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12211 (base 5) in base 14?\nAnswer: -4a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-84))\/((36\/(-21))\/6).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i + 4. Let s = 30 - 23. Suppose -c - 9 - s = 2*q, 2*c = -2*q - 12. Let j be t(q). Calculate the highest common divisor of 14 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l*s**3 + 2*l*s**2 + 2*l - 5239*s**3 + s**2 - 22302*s wrt s?\nAnswer: 12*l*s + 4*l - 31434*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -56, -166, -448, -992, -1888, -3226, -5096, -7588?\n\"Answer: -15*i**3 + 4*i**2 - 17*i - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -203*q - 55691. Calculate d(-273).\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20*((-1368)\/(-9120))\/((-6)\/170).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(-7) - 4\/(-14). Suppose -s = -y - 1. Solve 1 = s*h - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 4*y**3 + 21*y**2 + 9*y + 2. What is the remainder when 2909 is divided by o(-3)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of 2*r**4\/3 + 5*r**3\/6 - 4*r**2. Let x(g) = 3 - 43 - 4 - 143*g. Let n(h) = 44*f(h) + 5*x(h). Let o(m) = -m**2. Give o(n(u)).\nAnswer: -121*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 7. Let f = -4 + b. Is f > -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8080 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 326 = -5*x - 366, -5*f + 8 = -x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4983112?\nAnswer: 2, 622889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -1, -416, 3, 2, 1647 in descending order.\nAnswer: 1647, 4, 3, 2, -1, -3, -416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 22.1362 microseconds?\nAnswer: 0.0221362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-26)\/(-3)*(-3)\/(-2). Solve 0 = -5*j + 3*x - 6*x - a, 2*j + 22 = 3*x for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*p**2 + p - p)*(-5*p + 4*p + 5 + 0*p) in the form s*p + m + r*p**2 + z*p**3 and give r.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 14*i + 39. What is the remainder when 26 is divided by z(16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5)\/z**(10\/7))**(-4\/11) assuming z is positive.\nAnswer: z**(180\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 641?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23912703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, l: 5}. What is prob of sequence llf?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 a factor of 4976315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*s + 109*s + 374140776 = 0. Let w = s - -129056796. Round w to the nearest 1000000.\nAnswer: 67000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (v + v + 0*v)*(1 - 2*v - 1) - 39*v + 39*v - 32*v**2.\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven halves of a year?\nAnswer: 162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12020 (base 3) in base 5?\nAnswer: -1031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4082971 is divided by 4567?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -4*p**4\/9 - 1247548*p**3\/9 - 3326624*p**2 - 239512832*p\/9 - 638695424\/9 = 0.\nAnswer: -311863, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-337 - -25)\/((-1)\/(4\/16*2)) is divided by 17\/6 + (-4)\/(-24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26629491 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3*sqrt(272) + -2)**2 + 0.\nAnswer: -7356 + 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10211211222001 - 1?\nAnswer: -10211211222002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-6 - 10)*12\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 73 and 511.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*y + 25*y + 15045. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29514574.\nAnswer: 2, 14757287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 13*d - 15. Suppose -4*v - 2*k - 59 = -5*k, 2*v + 7 = -3*k. Let x be u(v). Solve -w + x - 3 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56 or -58?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 11*l**2 + 215*l - 7. Calculate b(-18).\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1230)\/500)\/(1104\/(-20)). Let n = -1\/345 + w. Let z be 1 - (2*-2)\/(-2). Does z = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/721620 and 23\/10?\nAnswer: 721620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 3*y - 1. Let v be i(-3). Suppose 3*p - 24 = -p. Let k be (-4)\/p + v + 2. What is the second biggest value in -0.5, k, -6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3423554.\nAnswer: 2, 73, 131, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (4 + -4 + -1 + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 7 + 31. Let d(t) = 7*t - 10*t**2 - 7 - v*t - t**3 - 11*t - 30. Is d(-16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3358, -3273, -3188, -3103, -3018?\nAnswer: -2933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.5765 and 0.18556.\nAnswer: -2.39094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and 3980672?\nAnswer: 23884032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*k + 974*k + 186*k + 847*k - 302*k - 85*k.\nAnswer: 1639*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 57*i**4 - 53*i**2 - 2*i. Let s(r) = -29*r**4 + 27*r**2 + r. Let y(b) = -2*g(b) - 5*s(b). Find the third derivative of y(x) wrt x.\nAnswer: 744*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2. Suppose -a = -4*m - 11, a + 6 - 3 = -3*m. Let r be 8 - (m - (2 - 6)). Let t(c) = c - 15 + r + 9. Give t(o(i)).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 - 95\/3. Let b = 4\/3 + -38\/33. What is the third biggest value in b, 17, j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**3 - 4*k**2 + 4*k - 2. Calculate the remainder when 82 is divided by i(3).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0.4 (b) 0.7 (c) -1 (d) -0.5 (e) 64 (f) -66 (g) 0.26\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = y - 0*n + 3*n, -5*n + 41 = 4*y. Let u(d) be the third derivative of -d**4\/24 + d**3 - d**2. Let x be u(y). Solve 3*k - 5 = x*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*p - 1355 = -5*o, 35 = 623*o - 630*o for p.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + j + 1. Suppose -4*c = -5*c + 2. Suppose 4*q - c*n + 12 = 2*q, 0 = -4*n - 16. Let w be 2*2\/(-10)*q. Determine t(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.58 rounded to zero dps?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/37 and -50\/157.\nAnswer: 5809","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 205.4927 less than -364199?\nAnswer: -364404.4927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1ba (base 15) to base 13\nAnswer: -24a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + h + 46 - 75 = 5*y, -4*y - 4*h + 56 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 720 + -719. Let c(l) = -12*l**2 + 1. Calculate c(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -7*j - 98. Let h be x(-15). Suppose 2*o - h*n - 108 = -2*n, 3*n = 2*o - 116. What is the remainder when o is divided by 27?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 - -1011?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*i + 9*i + 2*i**3 - i**2 + 2*i**3 - 5*i**3 to z*i**3 + t + a*i**2 + s*i and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 1\/3, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6298 + 6300. Let d(a) be the second derivative of -4*a**u - 1\/6*a**4 + 0 - 4\/3*a**3 + 13*a. Find b, given that d(b) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26848 is divided by 26011.\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 10:09 AM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27167329*d**2 + 54335093*d**2 - 27167769*d**2.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**5\/3 - 373*r**4\/3 + 3431*r**3\/3 - 2683*r**2\/3 - 3430*r\/3 + 3056\/3 = 0.\nAnswer: -382, -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 9683, 0 in increasing order.\nAnswer: -4, 0, 9683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.054829*-0.3.\nAnswer: 0.0164487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 2953785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -593 - -597. Let q(u) be the first derivative of 0*u**2 + 10 - 4\/3*u**3 - u**b + 0*u. Let q(p) = 0. What is p?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 7:44 AM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 + 35 + (-8 - -6) - -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**3\/13 + 201272*x**2\/13 - 5063802248*x\/13 = 0?\nAnswer: 0, 50318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*b - 2820 = -43346. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -2*s - 14, 3*s + 13 = -0*r + 2*r. Let l = r - 3. Let g = 3.1 - 3. Which is the nearest to g? (a) 5 (b) 2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-240)\/(-210)*(-11 + -6 + 3). Is r smaller than -439\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1071 - 99 = -151*i + 340 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -y**4\/12 - 5*y - 9. Let f(a) = -47*a**2 + 5*a + 5. Let d(n) = 70*n**2 - 7*n - 7. Let o(u) = -5*d(u) - 7*f(u). Give o(s(b)).\nAnswer: -21*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11148461?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2252 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w**2 - 14*w + 18. Is 14 a factor of i(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 11:35 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1028596, -1028594, -1028592, -1028590, -1028588?\nAnswer: -1028586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17628060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.634, 5, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 9 + 6)*(2*g + 5*g**2 - 4*g - 3*g**2) + 37*g - 20*g + 6*g**2 - 20*g.\nAnswer: -6*g**2 + 9*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/47, -1, 1\/7, 1, -2, 1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0\/30*3\/(-9)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95, -109, -121, -131, -139, -145?\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*s**2 + 0*s + 5*s - s - 25*s.\nAnswer: 14*s**2 - 21*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 53 - 1643?\nAnswer: -1590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70 and 595?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9710073 millimeters in nanometers?\nAnswer: 971007.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 11 = 19. Let k be 42\/(-8) - 1\/(-4). Let t = k + 7. Solve 8 = -z + 2*w, -t*z - i = w - 2*w for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*j*u**6 - j*u**3 + 18*j*u**2 + j*u - 3*u**6 - 2 wrt u.\nAnswer: -1560*j*u**3 - 6*j - 360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 331618569487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -23*c - 2. Calculate the remainder when 73 is divided by h(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 7*f**2 + 6*f + 1. Let k be s(6). Suppose -l = 4, 4*l + 47 + 42 = -t. Let u = k + t. Solve 3*b - b = u for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -6. Suppose 5*r - 76 = -2*i, -t*r - 92 = -4*i + r. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -2, -687091, 6 in ascending order.\nAnswer: -687091, -2, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 3, -7, -971 in descending order.\nAnswer: 3, 1, 0, -7, -971","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -5. Let t be (-22)\/(-5) - (138\/(-30) + 5). Sort -6, l, t in decreasing order.\nAnswer: t, l, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -6*c + 5. Let y be o(2). Let p(u) = -u**2 - 6*u + 10. Let f be p(y). Solve 4*x = -3*v - 16, 4*x - 11 = 3*v + f*x for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + t + 1. Give n(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 - (-61 + -11 - -11).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-3) - (-7)\/21. Let i be ((-15)\/(-10))\/(w\/2). What is the nearest to -1 in i, -0.5, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153709390567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 - 31. Which is the second biggest value? (a) 0 (b) l (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-26))\/(a*a\/a**(1\/33)) assuming a is positive.\nAnswer: a**(-890\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 10, f: 2, b: 4, e: 4}. What is prob of picking 1 f and 2 z?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 2\/3, -0.01, 1\/2, -35?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6411728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/57 and -52\/9.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - (112 + (2 - (33 - 12)) + 6)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002834 rounded to 5 decimal places?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -7. Let x be (-2 + 3)\/(r\/2). Let p = 6 - 1. Which is the third smallest value? (a) p (b) 3\/5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49856993 times 4\nAnswer: -199427972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.45 + -9.45. What is the third smallest value in h, 6, -48?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 297 + -469. Let t = v - -192. Calculate the smallest common multiple of t and 64.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -82 + 171 + 70*x - 89 to the form m*x + h and give m.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*((4*1*sqrt(153) - sqrt(153)) + sqrt(153) - sqrt(153))*6)\/((1*sqrt(441) + sqrt(18)\/sqrt(2)*-6)*4)*-5)**2.\nAnswer: 309825\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*z + 259057 + 523475. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 659166254 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q + 3. Let h(g) = 3*g - 1. Let k be h(3). Calculate the remainder when 788\/10 + (-10)\/(-50) is divided by m(k).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 3*h**2 - 431*h - 144 = 0.\nAnswer: -1\/3, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -867*r**4\/5 - 306*r**3\/5 + 2013*r**2\/5 + 72*r - 240.\nAnswer: -3*(r - 1)**2*(17*r + 20)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41664 and 217.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 312*h**2 - 3*h**3 + 75*h**4 - 115*h - 77*h**2 - 70*h**4 - 122*h**3 = 0?\nAnswer: 0, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 54 = -5*q - 93, -5*u = -5. Let w = -159 + 96. Let x = q - w. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 4:51 AM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 16 = -11*p, 42 = -64*p + 79*p - 4*y for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 11:35 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -7180*x. Let z(i) = -i. Calculate z(t(k)).\nAnswer: 7180*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-35)\/(-10)*12\/35. Factor -2\/5*v + 2\/5*v**4 + 2\/5*v**3 - w*v**2 + 4\/5.\nAnswer: 2*(v - 1)**2*(v + 1)*(v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -0.9349377\nAnswer: 0.18698754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -88358.77 rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -61067680.38 from 12.\nAnswer: 61067692.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*i**2 + 5*i**2 - 10*i**2)*(0 + 0 + 1) in the form f*i + w*i**2 + x and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 10:41 PM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t + 20. Is 13 a factor of o(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182892 to the power of 1\/2, to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 145\/1471?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.32 + 0.02. Let v = -6 + 6.5. What is the closest to 1\/2 in w, 2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*v - 40, 2*v = -5*k - 6 + 29. Suppose -p - v = -w - 0*p, 3 = p. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/8 + 667*k**2\/2 - 45629*k\/8 + 5370.\nAnswer: (k - 16)*(k - 1)*(k + 2685)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*d**2 - 1 + 3*d**2)*(-5*d**2 + 0*d**2 + 4*d**2) - 3*d**4 - d**4 + 3*d**4.\nAnswer: -2*d**4 + d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -88999*m**3 + 2*m**2 + m. Suppose -f - f = -5*v - 19, -3*f - 6 = 4*v. Let r = -4 - v. Let i be a(r). Round i to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/846 and -139\/564.\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*t - 34*t - 4 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 143889 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 295120?\nAnswer: 2, 5, 7, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -3. Find the second derivative of 5*n - f*n**2 + 11 - 11 - n wrt n.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7306731 and 279?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -59 + 57.3. Do -2\/11 and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 45, 89, 133, 177, 221?\n\"Answer: 44*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*c = -1, 0 = -f - 0*c + c + 1. What is the closest to 2\/5 in 0.01, f, 0?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 divided by -4556?\nAnswer: -9\/1139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15314145811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7709, 7707, 7701, 7691?\n\"Answer: -2*k**2 + 4*k + 7707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-22 - -22 - 57) + 51\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 14*j - 9. Let a be u(13). Suppose -d = 2 - 4. Let h(t) = -t**3 - 2*t**2 - 1. Let p be h(-3). Solve p = -a*c + d*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010403 to 4 dps.\nAnswer: -0.0104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12\/7349 - -185561\/1124397. Calculate the common denominator of 22\/45 and r.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + a - 7 = 2*a, 5*a + 7 = -3*z. Let i(h) = -3*h**2 + 5*h + 1. Let y(p) be the first derivative of -p**3\/3 + p**2\/2 - 5. Give z*i(k) - 5*y(k).\nAnswer: 2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 24*o**2 - 25*o + 2. Give w(25).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.386 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 49680 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5543522 a multiple of 431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-283 + 1)*(-13 + 2). What is the first derivative of -u*w**3 + 3102*w**3 - 21 + 30*w**4 wrt w?\nAnswer: 120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 4. Let t = m - 2. Suppose -5*s - 18*w + 12*w - 38 = 0, -5*s - 3*w - 29 = 0. Put t, s, -5, 3 in decreasing order.\nAnswer: 3, t, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1446, -1437, -1414, -1371, -1302, -1201?\nAnswer: -1062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 58*h - 55*h - 5425, -5*h = 0. Is 23 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c**3 + c + 3*c - 2*c**3 - 7*c. List the prime factors of l(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03225339 rounded to five decimal places?\nAnswer: -0.03225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, 1, 2495, 55, 2\/5?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*g - 1090 + 1090.\nAnswer: -11*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 1022*w - 63. Let q(b) = -33*b + 2. Calculate 63*q(j) + 2*v(j).\nAnswer: -35*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*j - 5\/4 + 1\/4*j**3 + 5\/4*j**2.\nAnswer: (j - 1)*(j + 1)*(j + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 233*v - 194*v + 264*v + 69*v + 231*v as l*v + i and give l.\nAnswer: 603","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 24*d**2 - 5*d. Let t(x) be the first derivative of 5*x**2\/2 - 2988. Determine a(t(l)).\nAnswer: 600*l**2 - 25*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1394234 is divided by 729.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/3 or 1098.87?\nAnswer: 1098.87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 498 = 4*m, n + 5*m - 4*m - 493 = 0. Suppose 4*b - n = 2*x, -3*x + 120 = 3*b - 2*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4246263, 4 in decreasing order.\nAnswer: 4246263, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-5)*30\/(-108)*1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 4 = -d, 2*d - 3 = -4*r + 5 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/25)\/(7\/(-35))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q + 4*q - 4*q + (-6*q + q + 2*q)*(1 - 1 - 1) - 6*q + 3*q + 4*q - 2*q + 0*q + q + 2 - 2 - 2*q as l*q + j and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from chjehyej. Give prob of sequence ch.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -13581, -14076, -14901, -16056, -17541?\n\"Answer: -165*c**2 - 13416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p**3*v**4 + 12*p**3*v**2 - 671*p**2*v**5 + p**2*v**2 + 3 wrt v.\nAnswer: 24*p**3*v - 40260*p**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -8826 != -8835?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4082 is divided by ((-20)\/(-8))\/((-108)\/(-2592)*(6 - 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3333 + 6191*r + 3687 - 354.\nAnswer: 6191*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6*(-9)\/12*24\/27. Which is the nearest to -6? (a) v (b) 0 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34 and 48?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1421 + -1428. What is the second smallest value in 52, 2\/3, b?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.039 - -0.539. What is the nearest to -1 in -5, p, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11246 (base 10) to base 15\nAnswer: -34eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34428.64237 + 35039.64237082. Let g = -611 + s. Round g to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25801354 divided by 21166.\nAnswer: 1219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88848 is divided by 88839.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 184713 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8160)\/(-400) - ((-34)\/(-10) - 3). Solve g*l = 70 + 10 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -2\/3, 22, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 40 = -3*m. Suppose m*l = -3*d + 4, d = -d - 2*l + 2. Suppose 2*o - 5*g - 123 = d, o + g - 3*g = 63. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6024 is divided by 147?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-888)\/(-222)*(3\/2)\/(21\/(-1)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 - -48. Suppose -19103 = 12*o - 19199. Calculate the remainder when m is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(270\/(-63)))\/(1\/5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 7, -772 in descending order.\nAnswer: 13, 7, -772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10003\/10 + 1006. Let n = 5729 + -57171\/10. Find the common denominator of n and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hnuu when four letters picked without replacement from {u: 3, k: 1, h: 3, g: 6, n: 2}.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18815 - 18779. What is the highest common factor of 1532 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -28*i**3 + 12*i**2 + 92*i - 47. What is the ten thousands digit of o(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/49)\/(44\/7623*-1041 + 6)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3)*i**(-3\/5)*((((i**(-8\/3)*i)\/i)\/i)\/i)\/i*i\/(i*i\/(i\/(i\/i**(4\/3)*i*i)*i)))**(-21))**20 assuming i is positive.\nAnswer: i**4172","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 2. Suppose -85 = 2*h - 87, 61 = 4*x + h. Solve -x = 2*i + b, 0 = 4*i - i - 2*b + k for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3182 + -2486. What is the remainder when n is divided by 116?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 8608 (b) 3 (c) 82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from joebckj. What is prob of picking 1 b, 1 k, 1 e, and 1 j?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*k**3 - 6*k**3 + k**3)*(56 - 64 + 35 + 234) as w*k**2 + h*k**3 + c + g*k and give h.\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126 = 32*u - 34 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14512 + -174037\/12. What is the common denominator of q and (43 + 3)*(2\/2)\/(-36)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6463, -6437, -6413, -6391, -6371, -6353?\n\"Answer: -w**2 + 29*w - 6491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 46?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.47532 + -365.50732. Let o = a - -365. Round o to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of b**5\/20 - 5*b**4\/12 + 3*b**3\/2 - 3*b**2\/2 + 19*b. Let d be v(3). Solve -d*x + 7 - 1 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-380)\/45 - -8) + (-49)\/(-9) - 183\/36.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -13*i - 4*i + 2*i + 2*i**2 + 15*i. Let n(w) = w**2 + 81*w. What is n(l(g))?\nAnswer: 4*g**4 + 162*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gfgfgbgfb. Give prob of picking 1 g, 1 b, and 1 f.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 965, 4047, 9543, 17741, 28929, 43395, 61427?\nAnswer: 83313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 8 = -5*p. Let a(h) = 3*h**3 + h**2 - h - 1. Does 9 divide a(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -24 + 25 + 29 + 11*u - 7 + 42. What is m(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 22 = -4*g + 3*g, j = g + 10. Solve 0*z = 4*z - 4*w - 12, -4*z - 4*w + j = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -3. Let o(k) = -10*k + 13. Suppose -3*s + 20 = 5. Suppose -10 + 47 = -s*f + 2*g, f + 8 = g. Let d(t) = -3*t + 4. Calculate f*d(y) + u*o(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9272371753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 744.5146 nanometers?\nAnswer: 0.0000000007445146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62493, 62502, 62511, 62520, 62529, 62538?\nAnswer: 62547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 816 and -13.3?\nAnswer: -10852.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -384*l - 5760. Let w be g(-15). Let 0*k + 0*k**2 - 1\/6*k**4 + w - k**3 = 0. What is k?\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4237 divided by 223.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -662376?\nAnswer: 662374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6105, -6103, -6101?\nAnswer: -6099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 943480 is divided by 288?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/4190 and -16\/15.\nAnswer: 12570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 2:15 PM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 5*h + 1. Let n be t(1). Suppose 2 - n = -2*z. Suppose z = v - 4. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 5*s**3 - 14509926*s**2 - 14509931*s = 0.\nAnswer: -1, 0, 14509931\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 10*a. Let q(l) = -6*l**2 + 20*l**2 + 19*l**2 - 3*l**2 - 2*l**2. What is q(v(s))?\nAnswer: 2800*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1438902 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -86047 divided by 6\nAnswer: -86047\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 1:14 AM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.758 - 0.382. Let i = 5.64 + l. What is the nearest to 1\/13 in -0.4, i, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1072, -1071, -1052, -1003, -912, -767, -556, -267?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2819.869 * 6\nAnswer: -16919.214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 - 5*w + 5*w)*(-1 + 4 - 1) - 15*w**2 + 7*w**2 + 10*w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5305 and 15608371.\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 345, -7, 394 in decreasing order.\nAnswer: 394, 345, 5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-1*5\/10)\/(-4)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 248621\/38446 + -615\/94. What is the common denominator of q and -25\/26?\nAnswer: 10634","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -5. Let w(h) = -3*h + 8. Let z be w(-8). Suppose -c + 5*k + z = 2*c, 0 = -i*k + 8. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 29*f**2 + 27*f - 104. Is z(4) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 0.2, -162, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 - 195*v + 3196. Calculate r(21).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2486b3b (base 13) to base 10\nAnswer: 11382369","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**3 - 8*w**2 - 2*w - 18. Let a be k(6). Let s = -395 - a. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 981137658 and 2.\nAnswer: 981137660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of 2*c + 2*c**3 + 0 + 24*c**2 + 1\/24*c**4. Determine v(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1*(-6)\/(-8)*138\/(-45) and 23\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 4*k - 60, 2*t = k - 999 + 991 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 6*c**2 + 4. Let s be w(6). Suppose 0 = -v + 2*m + 8, -2*m - 11 = -s*v - m. Suppose v*j = 4*j - 6. Solve j*k + p = 4*k, 0 = -4*p for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 188*n**3 - 3827*n**2 + 3459192*n wrt n.\nAnswer: 1128*n - 7654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -340 + 570. List the prime factors of t.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -43. Let w = -22.8 - d. Let m = w - 3.162. Round m to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 20723969 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/16*(2 + 352\/(-144))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 368 + 784 = 4*l. Calculate the highest common divisor of l and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10392312 to the nearest integer?\nAnswer: 3224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of v**4\/12 + 3*v**3\/2 + 9*v**2\/2 + v. Suppose 140 = -10*n + 80. Calculate g(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w**2 + 0*w**3 + w + w**3 - w**3 - w**3 + 1. Let g(l) = 2*l**2 - 1. Let c be g(-1). Let v(r) = 4*r - 1. Let u be v(c). Determine a(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -8*(11\/(-4) + 2). Suppose -c + u = -3. What is the least common multiple of c and 11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 6:08 AM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11376 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011022020000 - 1?\nAnswer: -1011022020001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7314 and 17664.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - 16*(15\/3)\/1. Let g = -75 - w. Calculate the greatest common factor of 117 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -64776, -64582, -64054, -63024, -61324?\n\"Answer: 28*r**3 - r**2 + r - 64804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 15) in base 4?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004829379861 to 4 decimal places.\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -64843.\nAnswer: 4\/64843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1311 is divided by 102?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w. Let f(o) = -o**2 + 6*o - 36. Let u(l) = -5*f(l) + 30*r(l). Factor u(a).\nAnswer: 5*(a - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*g**2 - 2*g**3 + 10*g**2 + 2*g**3 + 7*g**3.\nAnswer: 7*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -1 - (-9 + 9)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -43*y**2 - 110*y + 64. What is u(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -71*k**2 + 6891*k - 394. Determine c(97).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3296*r**2*u**3 - r**2*u**2 - 3*r**2 - 270518*r*u**2 + 8*u**3 wrt u?\nAnswer: 19776*r**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48019?\nAnswer: 31, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 2. Suppose 0 = 2*d - 3*r, -10 = -u*r - 2. Let h(o) be the third derivative of -o**4\/24 + 2*o**2. What is h(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5*r = 347545, -170*r + 173*r = -12. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101067.\nAnswer: 3, 59, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25.2 + -24.8. Let u = 47 + -47. Which is the nearest to u? (a) -0.2 (b) 1\/4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/8 - (20\/(-14))\/(56\/(-196)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 11*n - 10. Suppose -5*p = -0 + 45. What is the remainder when 22 is divided by b(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 + 8851028*t.\nAnswer: t*(t + 8851028)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 g when three letters picked without replacement from gkggggkggggggggggkg?\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) -5\/3 (b) 0.2 (c) 2\/3 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.12? (a) 9 (b) -1976 (c) 36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 minus -21066790710881?\nAnswer: 21066790710881.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b + 42. Let m be o(21). Suppose 9 = -3*q - m. What are the prime factors of q\/45 + (-776)\/(-9)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 14) + 16 + -20.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d + 1. Let z(v) = 1 + v + 0 - 1. Let w(j) = -2*j. Let o(n) = w(n) + 3*z(n). Suppose 0 = l - 3*l - 6. What is l*o(b) + k(b)?\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -7*v**2 - 5*v - 5. Let r(h) = -4*h**2 - 3*h - 3. Give -5*r(m) + 3*u(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-239 - 12*k**2 + 239)*(5*k - k - 3*k)*(1 - k**2 - 1).\nAnswer: 12*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 7277038?\nAnswer: 7277038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 1:29 PM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.017 + 27.017. Let y = 31 - t. Put -1, -4\/9, y in decreasing order.\nAnswer: y, -4\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (23 - (40 + 8 - 10))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212110 - -102201?\nAnswer: -102202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 9*c**3 - c**2 + c - 1. Let h be (-1320)\/(-108) - 2\/9. Let u(g) = -g + 15. Calculate the smallest common multiple of f(1) and u(h).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 461*h - 177. Let b be z(10). Let c = 18024739\/8 + -2248665. Let f = b - c. Calculate the common denominator of 52\/9 and f.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttatttttttatta. What is prob of sequence ata?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*y + 93 - 39. Suppose -y*p + 1695 = -3*a, 0 = -4*p + 9*p - 3*a - 2815. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23775\/182 - 1831\/14. Let h = -0.8 - 0.2. Which is the closest to h? (a) o (b) 0 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 143869?\nAnswer: -143873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of z**5\/60 + z**4\/8 - 5*z**3\/6 + z**2. Let y be f(-5). Let k = 220 + -217. Solve k = h + y for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63)\/(-6)*(64\/(-28))\/(894\/(-1043)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1787 by 166.\nAnswer: -1787\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 133 + 1037507?\nAnswer: 1037642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 18.7 + -0.01\nAnswer: 18.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 1 - 2)*(-3 + 5 + 0)*(35 + 35601*s + 35604*s - 71213*s) to the form t*s + b and give t.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-16))**(-4\/27) assuming p is positive.\nAnswer: p**(-68\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/11, -0.3, -0.2, -4\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of 0*a - 56*a**2 - 4913\/2*a**3 + 0 + 867\/8*a**4 + 1\/40*a**6 - 51\/20*a**5. Factor l(d).\nAnswer: 3*(d - 17)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1814954 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 + 2*l**2 - 4*l**2)*(3*l**3 - 5*l**3 + 0*l**3) + 2*l**3 - 2*l**5 - 2*l**3 - 4*l**5 + 3*l**5 + 0*l**5 + 6*l**5 + 8*l**5 + l**2 - 2*l**5 - 2*l**4.\nAnswer: 13*l**5 - 2*l**4 + l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -504.5 + 504.3. Which is the third biggest value? (a) 14\/9 (b) 1 (c) 0.1 (d) -2 (e) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11120220222 (base 3) to base 6.\nAnswer: -1534125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**3\/3 + 631*k**2 + 5706*k = 0.\nAnswer: -9, 0, 1902","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.646365 rounded to 2 decimal places?\nAnswer: 13.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110111110110 (base 2) in base 4?\nAnswer: 1313312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, y: 3, x: 3, z: 6, o: 2}. Give prob of sequence zon.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/((-15)\/25) + -4 + 31. Suppose -r*m - 18 = -23*m. Sort -3, -5, m, -1 in descending order.\nAnswer: -1, m, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -369.169 + 369. Let w = r + 93.169. Let u = w - 93.00000059. Round u to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 19*g**2 + 23*g + 62. Let r be o(-20). Suppose -r*s + 2*q = s - 6, -2*s + 5 = -q. Solve t = 1 - s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**4\/7 + 12*d**3\/7 - 18*d**2\/7 + 8*d\/7 = 0. Calculate d.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2355 and 1.912.\nAnswer: 0.450276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*v = -i - 5, 4*i - 3*v - 5 = 0. Suppose -4*t = -5*f + 2*f + 6, 4 = 2*f + i*t. Solve -16 = -m + 4*g, -3*m - f*g = -5*m + 2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from shohoohoshhofcosfoh. What is prob of picking 1 o and 1 f?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*m**3 - m**3 - 20*m**3 + (4*m**2 - 3*m**2 + 0*m**2)*(-12*m + 4*m - 9*m).\nAnswer: -52*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.373 + 1.344. Let c = d - 12.591. Let j = 16.6 + c. What is j rounded to 1 decimal place?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(2\/(-2) + 0). Suppose -2*s - b*d - 4 = -0*d, -3*s - 5*d = 1. Suppose s*k + 4*a - 92 = 0, -2*k = -4*a - 66 + 18. Is k a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3678 - 5989 = -298*p - 683 + 5320 for p.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 160 = -175. Factor -39*n**3 + 10*n**4 + 14*n**2 + 57*n**3 - 31*n + 2*n**d + 35*n.\nAnswer: 2*n*(n + 1)**3*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 73\/10, -3, 3, 0, 2\/13, -0.04, -2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a tonne in grams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r + 4. Suppose 49 = 4*i + 25. Calculate z(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**3 - 3*k**2. Let w be m(-2). Suppose -c = -l - 2*c - 2, -w*l - 23 = -c. Let g(y) = y**3 + 5*y**2 - 2*y - 5. Calculate g(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n + 5*l + 3*l - l = 3*l + 24, -n - 23 = -3*l for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 834, 17, 0, -4, -3 in descending order.\nAnswer: 834, 17, 4, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -2*g - v, -13*g + 14*g - 2*v = 44. Suppose -285 = -3*n - 5*d, 2*n - d - 267 = -n. Let h = n - g. Is 19 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56473*t**2 + 654 + 56474*t**2 + 1140.\nAnswer: t**2 + 1794","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 252 + -372. Let t = 182 + g. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -88, -148, -210, -274, -340?\n\"Answer: -r**2 - 57*r - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + j**2 + j + 1. Let l(s) = -72*s**3 - 66*s**2 - 60*s - 66. Let p(m) = -2*l(m) - 132*q(m). Find the second derivative of p(r) wrt r.\nAnswer: 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/2, -34.6, -0.3, -87, 0.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3) - 83\/(-24))\/((-353520)\/(-282816)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/5 - 158\/(-10). Suppose 16 = -4*f + 4*c, 6*c - s = 3*f + c. Does 9 divide f\/4 + (-215)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 351304*g**3 - 33*g**2 + 277393273*g.\nAnswer: 2107824*g - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 37.74396 meters?\nAnswer: 37743.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1729 by -5.\nAnswer: 1729\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -139, -790, -2411, -5488, -10507, -17954, -28315, -42076?\n\"Answer: -81*w**3 + w**2 - 87*w + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -848482.\nAnswer: -11\/848482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 b when two letters picked without replacement from {b: 2, j: 5, x: 3, g: 6, h: 1}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 62, 5 in descending order.\nAnswer: 62, 5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 163*f**2 + 2718*f - 2599. Give l(-144).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-7) - 104\/(-28). Suppose -g - 2*g - q + 53 = 0, n*g + 2*q - 72 = 0. What are the prime factors of g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*h**3*l**2 + 3*h**3 - 8*h**2*l**4 - 102*h**2*l + 3*h*l**2 - l wrt l?\nAnswer: -8*h**3 - 96*h**2*l**2 + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from artttrttcqhtr. Give prob of sequence ac.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2860*a**2 + 65*a - 65. Let r(g) = -130*g**2 - 3*g + 3. Determine -65*r(p) - 3*s(p).\nAnswer: -130*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-564)*(-380)\/(-285)\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-10) - (8 - 207\/(-45)). Let t be 16\/54*o\/(-16). What is the nearest to -1 in 0, t, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -34\/3, -2, -4\/7, -5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -72 + 55. Let p = 11 - a. What is the remainder when p is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - t**2 - 5. Let p be u(3). Suppose 3 - 7 = -2*l. Suppose -5*y + p = -l. What is the nearest to -1 in 6, 0, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/(d*d\/(d*d**(2\/13)*d)))\/d)\/d*d)\/d*d*d)\/d*d**(-5)\/d*(d\/(d*d\/((d*d*d**3)\/d)*d*d))\/d*d**(1\/4)\/d*d*d assuming d is positive.\nAnswer: d**(-239\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000013283026 to seven dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(396)*-2 - (sqrt(55)\/((sqrt(40)\/sqrt(4))\/sqrt(2)))**2.\nAnswer: -12*sqrt(11) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3717, 4, 2, 3, -5 in ascending order.\nAnswer: -3717, -5, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 5. Suppose 3*t + 14 = b*t. Calculate the remainder when t is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 3*j**2 - 6*j - 4. Let o be z(-2). Let s(l) = l**3 + 12*l**2 - 3*l - 24. Let m be s(o). Calculate the highest common factor of m and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22057 (base 8) to base 9.\nAnswer: -13632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -528*o**4 + o**3 - 5*o - 165.\nAnswer: -6336*o**2 + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/4 and ((-1)\/(-4))\/((-133)\/1254).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wcwbwbwbbwwwbxwx. Give prob of picking 1 x, 1 c, and 1 b.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -7 + (-1 - 4 - -2).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*d = 6 - 5, 2*p + 4*d + 28 = 0. Let s(o) = -2*o**2 - 5*o - 7. What is s(p)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 22 = -4*k, -29 = -5*x + 3*k - 2. Let f(i) = i**3 + 8*i**2 + 5*i - 15. Let m be f(-7). Let q be m\/(3 + (1 - 3)). Put x, q, 4 in descending order.\nAnswer: 4, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2.4, 1\/6 in decreasing order.\nAnswer: 2.4, 1\/6, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jv when two letters picked without replacement from {d: 2, h: 1, j: 2, v: 8}.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 24 = 3*y. Is 2 a factor of y - (14\/6)\/((-2)\/36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -4. Let d be (-1)\/(-1 + 0)*3. Let k = -5008.3 - -5008. Which is the nearest to -0.3? (a) d (b) k (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/4)*q)\/q*(q*q\/q**(-2))\/q)**(-15)\/((q*q**(-2\/27)\/q*q**(-5))\/(q**(2\/25)*(((q*q**(-2\/5))\/q)\/q*q)\/q)) assuming q is positive.\nAnswer: q**(-101239\/2700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3638 - -633. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 46162194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 307 + -297. Solve -g = -3*z - x, -6*z - 8 = g - 3*z for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 180 and 16704?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2934 rounded to the nearest 100?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/3 and -5\/957533.\nAnswer: 2872599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 + 1)*(-30*g + 1328 - 4*g**2 + 30*g + 1351 + 130) in the form t*g + i + h*g**2 and give i.\nAnswer: -2809","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -11665.1 to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63 - -64. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -440*r = -509*r + 2939400. What is the hundreds digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 + -22. Let z be 12 - m - (1 + 1). Suppose -z = -c - 3*c + 5*p, 4 = c - 3*p. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 852368 + -532368. What is d rounded to the nearest ten thousand?\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 10:23 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3.21*-1.1\nAnswer: 3.531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -27831 (base 10) to base 3\nAnswer: -1102011210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qfffqqx. Give prob of sequence ff.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -100, -75, 0, 5.\nAnswer: -100, -75, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*sqrt(143) + 5*(sqrt(143) + sqrt(143)*-3))\/(5*(sqrt(132)\/sqrt(3) - -1*sqrt(891))).\nAnswer: -7*sqrt(13)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -115624 - 0.514.\nAnswer: -115624.514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1242991113?\nAnswer: 3, 7, 13, 350237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 994\/91 + 8 + (-103)\/13.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42770 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -6*c - c + 22 + 11*c - 6*c. Let j be x(-9). Suppose 5*h - 31 = 5*d + 24, 3*d - 15 = 0. What is the highest common factor of h and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -214, -354, -532, -766, -1074?\nAnswer: -1474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -127 - 134 - 2*s**3 - s**4 + 263 + (4*s**2 - s**3 - 4*s**2)*(0*s - 2*s + 0*s) as w*s**3 + d*s + z*s**2 + j + v*s**4 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o + 1. Let v(i) = -9*i + 5. Let t(c) = -5*b(c) + v(c). Let q(x) be the third derivative of 0*x + 3*x**2 + 0 + 0*x**3 + 5\/12*x**4. What is t(q(g))?\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 354*o + 1 = 351*o - 38 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/2)\/((-1)\/(-160)). Let r be (-5)\/u*4\/(-5). Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -137 (b) 16 (c) 1 (d) -0.04 (e) 3 (f) -0.4 (g) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/413 + 5777\/2065. Find n, given that 14\/5*n**2 + 0 - k*n**4 + 4\/5*n - 2*n**5 + 6\/5*n**3 = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 4*j + 5. Calculate o(-4).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, y: 4, t: 1, x: 2, d: 3}. Give prob of sequence dtdy.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -13 from -0.59851.\nAnswer: 12.40149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6140*w + 4 - 17 + 1 + 10.\nAnswer: 6140*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*(-4 - 0)\/(-12)*742. Let a = k + -837. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1955746 and 5434.\nAnswer: 21513206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2 = -3*h + 2*n, 0 = h + 3*n - 1. Suppose -2*u - p = p - 10, 3*p = -4*u + 15. Sort 3, u, h.\nAnswer: u, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 770204137 to the nearest integer?\nAnswer: 27753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-9)*3 - -27. Calculate the greatest common divisor of l and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.2 (b) -0.03 (c) -1 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 17*m + 17*m = -16*m. Solve -189*h + 190*h + 6 = m for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 7413*a**5\/5 - 2*a**3\/3 - 1332*a**2 + 8067. What is the third derivative of s(t) wrt t?\nAnswer: 177912*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 569 + -560. Solve 3*z - h = -6, t*z - 10*z - 2*h = 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6.016077 years?\nAnswer: 72.192924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/((-1584)\/12) + (-31)\/12\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q - 1. Let o be z(-3). Suppose o*x - 2 = x. Solve y = -0*u - u + 5, -x*u - 2 = -y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -717602*o**4\/9 - 384627484*o**3\/9 - 51537193298*o**2\/9 + 172087088*o\/3 - 143648 = 0.\nAnswer: -268, 3\/599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 18\/5, 3.4, -1\/5, -14\/5, 1, 64\/7, 0?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u**(-3\/7)*u)\/u*u)*u\/(u*u**(-2)*u)*u)\/(u**1)**(2\/171))**5 assuming u is positive.\nAnswer: u**(14465\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 387719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2081 is divided by -3 + 62 - (-6)\/(-4)*(-8)\/(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0*(12\/(-3))\/4)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17873\/6*l - 3721 - 1\/6*l**4 + 39\/2*l**3 - 1039\/2*l**2.\nAnswer: -(l - 61)**2*(l + 2)*(l + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3976, -7950, -11924, -15898, -19872?\n\"Answer: -3974*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -6*w - 13460. Let j be (-4)\/((-24)\/(-30)) - w. What is j rounded to the nearest 100?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + v - 7 + 9, 3*v = -2*p - 6. Let s(w) = -w**3 - w**2 - w + 2. Let c be s(p). Find b, given that -2*b + c*b + 2*b - 2*b**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -537638266 - -537637962.999763. Let h = -303 - i. What is h rounded to 5 dps?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 506.0000879 - 506. Round j to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + i**2 - 33*i + 18. Calculate the smallest common multiple of g(-6) and 24.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/3*(-108)\/60\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f. Let t(w) = 9*w**2 + 14737 - 14629 - 3*w**2. Let u(r) = -r**2 - 15. Let d(l) = 5*t(l) + 36*u(l). Give m(d(x)).\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -3b4151?\nAnswer: 3b4153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.06 and 1342752868.\nAnswer: 1342752868.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 1 = -7. Suppose 8 = -r*y + 6. Suppose 3*m = -2*m. Put 4, y, m in decreasing order.\nAnswer: 4, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in -36, -0.1, 3\/5, 0.0234?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -k**3\/2 + 80*k. Let z(r) = 4*r**2. What is c(z(s))?\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 74 - 63. Suppose 0*c - 6 = -3*c. Suppose -l + y = -j, -c*y = 2*l - y - 7. Solve -2*x + 4 = l for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -58\/7, -3\/4, -5, 0.1, 53?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 10, -3109\/3, -4, 4 in ascending order.\nAnswer: -3109\/3, -4, -3, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f + 8. Let h(p) = 40*p - 17*p + 3 - 22*p. Let l be h(5). Let s be z(l). Solve 3*u - u - 4 = s for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7153812 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -37 (c) -0.2 (d) -1\/4 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbv when three letters picked without replacement from {b: 7, q: 4, v: 6}.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 215 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j + 3 - 3)*(2 + 1 + 0)*(4*j - 2 - 4*j - 2*j).\nAnswer: -30*j**2 - 30*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -21*t**3\/8 + 15*t**2\/8 + 51*t\/4 - 12 = 0.\nAnswer: -16\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 7*b - 24. Suppose -1 = b*z - 3*p + 3, 3*p + 32 = -5*z. Let t(v) = -15*v**3 + 9*v - 9. Let w(o) = 7*o**3 - 4*o + 4. What is z*t(d) - 9*w(d)?\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 4. Let j = 4.2 - 0.2. Let r = 10 + -5. Which is the second smallest value? (a) j (b) r (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(3\/9*1). Let d = 118520 - 118515. What is the lowest common multiple of d and (v - 1)\/(2\/24)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000655205 rounded to seven decimal places?\nAnswer: 0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - (-7 + 2 - 195). Let j = t - 807\/4. Which is bigger: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13200203 + 1233?\nAnswer: -13132310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 399479.\nAnswer: 83, 4813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-6) - 0)\/(5\/45). What is the remainder when 41 is divided by n\/(-9) - (-136)\/6?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**2\/3 - 8*q - 56\/3 = 0.\nAnswer: -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*v - 14 = 0, v - 5*v - 48 = 4*d. What is the tens digit of (-102)\/(55\/(-25) - 2\/d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 k, and 2 n when four letters picked without replacement from ujngk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -v**3\/3 - 3*v**2\/2 - 2203*v. Let d(y) = -8*y - 13. Suppose -27 = k - 4*k. What is k*o(p) - 2*d(p)?\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 - 58*q + 59.\nAnswer: -(q - 1)*(q + 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 e when two letters picked without replacement from ekqqvpvvrkrr.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 35.1? (a) -3668 (b) -1\/2 (c) -3 (d) 0.3 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 93629 + -93620. Let p = -1 - 1. Sort -4, p, x.\nAnswer: -4, p, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145852351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -80910709 - -80907455.86056. Let g = x + 3253. Let y = -0.14 - g. Round y to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/56*-7)\/8*(-40)\/(-10)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 41*f - 81. Let j be a(2). Let d be 2 + -3 + -1 + 7. Put j, -5, -2, d in decreasing order.\nAnswer: d, -2, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.9 - -0.1. Let i = q + -7. Let s = -1 - -1.3. What is the nearest to -1 in s, 5, i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*q = q, 0 = 5*q - 25. Suppose 10*g = 5*g - d*f + 3132, 4*g = 4*f + 2484. Is 78 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47287313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/17 - 49292*s\/17 - 49290\/17.\nAnswer: -2*(s + 1)*(s + 24645)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29.3 * 0.005.\nAnswer: -0.1465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1553 = -y - 1500. Calculate the remainder when y is divided by 3\/15 - (-139)\/5.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98898 is divided by 66.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 19 = 5*v. Suppose 4*p = -0*c - 5*c + 970, 5*c - 925 = v*p. Is c a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2295, 73, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3682, -3684, -3686, -3688?\n\"Answer: -2*t - 3680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 17*q**2 + 507*q - 50. Let m be f(-30). What is the highest common divisor of m and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b - 2. Let d = 10 - 11. Let t be d\/(-7) + 68\/14. Calculate a(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 19. Suppose -m - n = -4*j, 0*m + 2*m = 3*j - 13. Suppose 30 = -j*q + 145. What is the remainder when 88 is divided by q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -j + 4. Suppose f - j*f = -15. Suppose f = 3*g - 7. Solve -12 = -4*h - g*y, -2*h + 3*y = -3*h + 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/778 and 8\/109?\nAnswer: 84802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328*t = 271*t + 741 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1\/5, 4, -12289\/6 in increasing order.\nAnswer: -12289\/6, -1\/5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -129*j**2 - 2*j + 4. Let h(o) = 8128*o**2 + 127*o - 254. Calculate 127*a(w) + 2*h(w).\nAnswer: -127*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 127605 - 186282. Let k = 58677.1699964 + q. Let o = k + -0.17. What is o rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2247)\/(-119) + 2\/17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12413?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*l + 0*l + l)*(187 + 254 - 346) to the form i + u*l and give u.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*q**4 - 33*q**4 + 15*q**4 + 2 + 10*q**4 + q + q**3 + 10*q**2 to z*q**2 + u*q**3 + m + t*q + f*q**4 and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-20)\/(-6)*(-12)\/(-10). Suppose 2*r + p - 5 = 0, -2*r + 0*p = 2*p - b. Suppose -r*o = -o - 3*h - 12, -4*o + 5*h = -26. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23541 and 74520717.\nAnswer: 521645019","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -a + 2*p - 25, -3*a - 75 = -p. Which is greater: -22 or a?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 150 and 22.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -30. Find the common denominator of 95\/2 and 3\/(f\/22)*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(-2) + 1 + (-36)\/(-9). Is (-1651)\/(-1 - (0 - g)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of t**5\/30 + 11*t**4\/24 - 5*t**3\/6 - t**2. Suppose 0 = 2*h - y - 3*y + 8, 2*h + 6 = 5*y. Is m(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 10*q**2 + q - 13. Let w be -48*((-35)\/(-15) + -3). Suppose 4*d - w = -2*y, -3*y + y - 3*d + 29 = 0. Give l(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*w + 86 = -40 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 - 133*a - 2*a**2 + 133*a.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**3 - 2*n**3 + 3*n**3 + (147 - 2*n**2 + 187 - 272)*(-2*n + 0*n + 4*n).\nAnswer: -3*n**3 + 124*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 521*q = 518*q + 21 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 42.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11c - 6?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-14) + (-14)\/(-49). Let k(z) = -z + 8. Suppose 18 = 5*t - 22. Let f be k(t). Solve b = l - f*l - 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7378*f + 1530 = -7468*f for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -c**3 - 115. Let m(u) be the first derivative of -2*u**3\/3 + 2. Determine h(m(s)).\nAnswer: -12*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 38*s**2 - 40*s - 12. Determine u(-39).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*b - 4*b - 128. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = v - 560, -4*d + 36 - 52 = 0. Solve 0 = 576*i - v*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 0*b + 7*b**2 - 22*b**2 + 0*b. Let k(i) = -i. Calculate c(k(s)).\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -863\/12 - -481\/6. Let x = -5\/1206 - -682\/201. Calculate the common denominator of g and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2762 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -4.2 (b) 3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/3)\/l**(2\/11))**(-2\/31)*(l*l**(-2\/3)*l*l)**(-17)\/(l**(2\/7)*l)**(-4\/5) assuming l is positive.\nAnswer: l**(-1381477\/35805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)*2)\/sqrt(8) - (sqrt(27) + 3).\nAnswer: -3 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 5*o - 8, 1 = -l + 4*l + 2*o. Let m = l + 3. Suppose w + 2*w = -4*a + 10, -a - m = 0. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 16*c**2 - 27*c + 17. What is y(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1*6)\/(12\/40). Suppose -i - 10 = -3*m, i = 3*i + 4*m - q. Find the second derivative of -2 - 16*y + i*y**4 + 4*y + 2 wrt y.\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of 0*z**2 + 6 - 5\/3*z**3 + 0*z. Let w be n(-1). Does -4 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -93.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -0.01907\nAnswer: -0.03814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 20540686, 41081372, 61622058, 82162744, 102703430, 123244116?\n\"Answer: 20540686*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - q - 1. Let r(p) = 4*p**2 + 10*p + 15. Let j(g) = -3*g**2 - 3. Let k(a) = -3*j(a) - r(a). Determine -6*b(n) + k(n).\nAnswer: -n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 20 = -11*m + 4*q, 86*q - 1 = -m + 89*q for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 37 + 2*l - 3*l + 53.\nAnswer: -l + 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42918 is divided by 294.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 79098\/4505 or -1?\nAnswer: 79098\/4505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 559519481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3*v + 236. Let p = -12 + v. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/32 and -21\/1068719.\nAnswer: 34199008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-25))\/(-5*7\/175)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**2 + r**2 - r**2 + (-r + 48*r + 74*r)*(-9*r + 4*r - r).\nAnswer: -728*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 5621087?\nAnswer: 7\/5621087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 546 and 23387?\nAnswer: 140322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 3)*(2 - 2*c - 2) + 4 + c - 4 + 0*c - 3*c + 2*c - 2 - 2*c + 2 - 3*c + 3*c - 2*c + 2 - 2 + c - 7*c - 3*c + 2*c - 2*c + 3*c + c.\nAnswer: -13*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*r**3 + 0 + 1 + 5*r**3 + 3*r**3 wrt r?\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -19*q**4\/24 - 58*q**3\/3 - 179*q**2 + 6*q. Give m(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u + 4. Let s(v) = v**2 + 2*v - 9. Let o(f) = 3*s(f) + 7*x(f). Let k(p) = p**3 - p - 1. Let z = -854 + 853. Calculate z*k(m) + o(m).\nAnswer: -m**3 + 3*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 195720 and 195720 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3*h**5\/5 - 6*h**4\/5 - 27*h**3\/5 + 6*h**2\/5 + 24*h\/5 = 0?\nAnswer: -2, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -2*h + 52, -f + 104 = 2*h + 2*h. Let q = -26 + h. Suppose q = l - 1. Solve -u = l - 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9636242266.\nAnswer: 2, 7, 1931, 356449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/5 at most 0.11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from hvvvvvvh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -7*a**3\/6 + 73*a**2\/2 + 148*a - 1. Find the first derivative of b(m) wrt m.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/2 + 849*u\/2 - 90094.\nAnswer: -(u - 428)*(u - 421)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*q - 26 = 0. Let i = q + 31. Suppose 4*p = -p + i*x + 110, -42 = -p + 5*x. Does 5 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 119 - 6 = 0. Is m a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*p = 36*p + 99. Solve 3*z + 3 = -p for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 177*c - 1261. Give x(7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50415 - -1419. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6 + 3)\/(42\/(-12)). Determine k, given that -2\/7*k**2 + c*k - 4\/7 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 377, -11, -37 in increasing order.\nAnswer: -37, -11, 377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3480998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 940 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of 21*o**3 + 1\/2*o**2 - 4*o + 0. Is c(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9596190 or 9596191?\nAnswer: 9596191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1787, -1762, -1739, -1718, -1699, -1682, -1667?\n\"Answer: -p**2 + 28*p - 1814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2343 and 15457772.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + 0 + 1*(((sqrt(99) + (-1*sqrt(99) - sqrt(99) - sqrt(99)))*1 + sqrt(99))\/sqrt(9) + 5))*-6.\nAnswer: -36*sqrt(11) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25492.\nAnswer: 2, 6373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -4, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 11448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 91358620?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 5*g**2 + 5*g + 8. Suppose -5*p + 50 = 2*w - 3*p, 5*p + 35 = 3*w. Suppose 0*u = -4*u - 2*v - w, -4*u - 26 = -v. Does 7 divide q(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 1. Solve u*k = 4 - 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8 - (0 + 5)) + (-58162)\/(-262). Let j = g - 225. Is -1 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 9:50 PM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 11*r + 172 + 216 - 388. Let l(g) = 2*g + g - 2*g - 4*g. Give b(l(o)).\nAnswer: -33*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 85726\nAnswer: 5\/85726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i**4 - 53*i**3\/4 + 378*i**2 - 1075*i\/4 - 91 = 0.\nAnswer: -52\/5, -1\/4, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-13)\/13 + 11)\/2. Solve 5*k + 5*j + 30 = 0, -r*k + 6*k + 4*j = -12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c8d3b - 6?\nAnswer: -c8d41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1022752.\nAnswer: 2, 31, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -186 - -299. What are the prime factors of a?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l + 2*l + 38*l - 31360 = 0. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -113*m + 123*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from arthsvv. What is prob of sequence vash?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122335624?\nAnswer: 2, 97, 157649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 5:15 AM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 43 - 36 = -u, 4*u + 16 = -4*s for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 115656 + 12?\nAnswer: 115668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 377 + -197. Let y = 179.23 - z. Let c = -0.7700087 - y. Round c to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 620 + -623. What is the hundreds digit of -2 - (-11448)\/((-24)\/q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 5*r - 3. Suppose -q = -3*s - 2*q - 6, -6 = 3*s + 3*q. Let k be c(s). Suppose -p = 2*f - 19, -k*p - 3*f + 49 = -f. Is 15 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrjjrrrr. What is prob of picking 2 r?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1236160, 2472311, 3708476, 4944661, 6180872, 7417115?\nAnswer: 8653396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o - 6. Let k be ((-9)\/27)\/((-1)\/30). What is the remainder when (k\/8)\/((-3)\/(-84)) is divided by f(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87503944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(220)\/sqrt(4))\/(-2*sqrt(5)*-6) + -2*(-4 + (sqrt(88)\/sqrt(4) + sqrt(22))\/sqrt(2)).\nAnswer: -23*sqrt(11)\/6 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from moomqoqmomoq. Give prob of picking 1 o and 1 m.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -2\/5*q**3 + 2\/5*q - 8\/5*q**2 + 8\/5 = 0?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -20, 0, -11, -5, 2, 2368, 0.2?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 508 = 3*z + 520, z = 2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1750 - 751 + 2*i**2 - 836)*(2*i - 4 + 4).\nAnswer: 4*i**3 + 326*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -0.14, -0.05, -1, -2?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1 + 1 + 79959*n**3.\nAnswer: 79959*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-6))\/y*y)\/(y**(-3\/16)*y) assuming y is positive.\nAnswer: y**(99\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(7*v**2 + v**2 - v**2)*(850*v - 1 - 1690*v + 839*v).\nAnswer: 7*v**3 + 7*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*b**2*j**2*n*u - 2*b**2*j*n*u - 11*b**2*n - b*j*n*u - 2*j**2*u + 5*u wrt b.\nAnswer: -16*j**2*n*u - 4*j*n*u - 22*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 720000 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 28*y**2 + y - 24. What is l(28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2929160 and 272480.\nAnswer: 11716640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, c: 2, h: 2, p: 6, t: 3}. Give prob of picking 2 h and 1 t.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38809021?\nAnswer: 97, 400093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - (-24)\/(1 + 2). Let l = -10 + j. Let w be 1\/(-3) + (-7)\/15. What is the closest to -1 in l, w, 2\/9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 615198587.\nAnswer: 19, 4157, 7789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 96 - 78. Let h = -37 - -64. Let a = h - f. What is the remainder when 25 is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -407.7 and 20024.\nAnswer: 19616.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000099607 rounded to five dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*h - 6 = -101*h, 0 = -s + 4*h + 12 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 256 divide 194315283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.96 + -6.26. Let d = 3.3 + -2.8. Which is the third smallest value? (a) d (b) g (c) -0.067\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 2:55 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x**2 - 4*x**2 - 6 + 0 to the form d*x + q*x**2 + f and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 2. Suppose -20*c - 10*c + 40 = -10*c. Differentiate v*t - 6 - 7*t + 30*t - c with respect to t.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - -1)\/(6\/(-27)). Let y = -17 - u. Is y*2 + (-31)\/(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 648 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-14) + (-6173632182)\/(-855918). Let t = m - -39\/13586. Let p = t + -7196. Find the common denominator of 46\/11 and p.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (88\/(-110))\/((-2)\/(-20)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -343.11 and -155.\nAnswer: -498.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1280 and 3328.\nAnswer: 16640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 24 + 36 = 4*b, 2*b + 42 = h. Suppose -3*z + h = -2*v, 3*z - 23 = 5*v + 22. Calculate the remainder when 15 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*r**3 + 32*r**2 - 1.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = t + 57. Let u = -5 - t. Let j = 15 - u. Which is the smallest value? (a) -2\/7 (b) -0.2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2b43 + a2?\nAnswer: 2be5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) -877 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 - 25. Let k = d + -4. Does 4 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -526, -616, -706, -796, -886?\n\"Answer: -90*o - 436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2814*m - 84449. Give l(30).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fttftnfff. What is prob of sequence ftn?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/5, -0.5, -2\/519, -0.1.\nAnswer: -0.5, -0.1, -2\/519, 7\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 + -27. Suppose -h*b + 22 = -6. Suppose b*c = 2*t - 24, c + 3*c = -4*t + 96. What is the highest common factor of t and 200?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 1. Let l(c) = -2*c - 8. Determine l(a) + 5*x(a).\nAnswer: -2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2818 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v + 4. Let s be z(-3). Let a be s - (-1 - (-3 + 4)). Let l = 3123\/4 - 782. Which is greater: a or l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 (base 10) in base 3?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1728*b**3 + 4*b**2 + 292711 wrt b.\nAnswer: 5184*b**2 + 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -6*q**2 + 5*q - 9. Let a(t) = 2*t**2 - 2*t + 3. What is 8*a(f) + 3*n(f)?\nAnswer: -2*f**2 - f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l**2. Suppose -2*r - 9 = 27. Let v = -8 - r. Let c(d) = d**2 + 18*d - 8*d - v*d. Determine k(c(i)).\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-39)*-41 - 4\/(-26). Let a(d) = 6*d**2 - 2*d + 6. What is the tens digit of a(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35700 and 66150?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/9 (b) 19867849 (c) 1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13543886 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -c - 299*w + 294*w, -c + 4*w = -15 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 64 and 8.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.695874 weeks to days.\nAnswer: 4.871118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 18 = -4*c, -901*x = -900*x - c - 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 344 and 430?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 4*g - g - 15, -4*g = -2*h - 2. What is the units digit of (h - 2)*199 + -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.2 (b) -3 (c) -21 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -124 (base 7) to base 5\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.8317 and 53?\nAnswer: 97.0801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {c: 1, i: 17}.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 25*d**3 - 3933*d**2 - 3846*d + 16. Let w(p) = -33*p**3 + 5244*p**2 + 5130*p - 21. Let g(h) = 21*a(h) + 16*w(h). Factor g(s).\nAnswer: -3*s*(s - 438)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009975459 to 6 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1638360.9 to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.1212045g?\nAnswer: 121204.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4*z**2 - 275*z + 811. Let v be a(3). Is 18 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*q + 2*h = 84*q - 8, -4*q = 3*h + 12 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 5)*(-15*y - 2 + 3 + 18*y)*(-3*y**2 - 2*y**2 - y**2) to p + q*y**3 + o*y**2 + s*y and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03707941703 rounded to 4 dps?\nAnswer: -0.0371","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27? (a) -0.1 (b) -1 (c) 307.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8839 or 8841?\nAnswer: 8839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (311\/(-933))\/((-1)\/(-15))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27192950 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -95 + 49 + 41 - a. What is t(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 divided by 1304?\nAnswer: -4\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of 0*w**5 + 4\/3*w**3 + 13*w**2 + 0*w + 0 + 0*w**4 + 1\/15*w**7 + 0*w**6. Differentiate o(v) wrt v.\nAnswer: 56*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 77705945*t**3 - 2*t + 71200590?\nAnswer: 466235670*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 3 (b) 2 (c) 0.4 (d) -3.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0 (b) -0.03 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -136 - -54. Let t be d\/(-6) - (-2)\/6. Let m = t - 10. Solve 15 = -m*k - w, 3*w - 16 = 2*k + 9 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d + 45. Let y be s(-13). Let f(o) = 14*o - 31*o + y*o + 1 - 5. Determine f(11).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*l - 537*l**4 - 10*l + 1351 - 407*l**4 + 22*l - l wrt l.\nAnswer: -3776*l**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1305 a factor of 38151675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44*k**2 + 66*k**2 - 5*k**6 + 3*k**6 wrt k.\nAnswer: -240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 4*s + 88, 3*d - s - 96 = 21. Suppose 8*t - d = 218. Calculate the greatest common factor of t and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 72\/7, -481, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27534539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**3 - 13*x**2 - 18*x - 173. Let c be y(-7). Solve -6 - 2 = -a - c*d, 4*d - 12 = -4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**2 + 44*g - 9. Calculate the remainder when -292*(1\/(-2))\/1 is divided by d(-23).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4 + 9*p**3 + 1062*p**2 + 6156*p - 75816.\nAnswer: -(p - 39)*(p - 6)*(p + 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -53*b**2 - 20*b - 54. Let s(o) = 30*o**2 + 14*o + 36. What is 7*s(t) + 5*z(t)?\nAnswer: -55*t**2 - 2*t - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -190.3 - -191. Which is the nearest to -1\/4? (a) w (b) -2\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a*k**4 - 28*a*k - 14*a - 267*k**3 wrt k?\nAnswer: 12*a*k**2 - 1602*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16383 and 5940171?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 328018963?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 170400 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -5, -3, 2632, 16 in descending order.\nAnswer: 2632, 19, 16, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.618579 years in centuries?\nAnswer: 0.02618579","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 319926 - 228419. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2*sqrt(13)*-4 + 4 + (1 + sqrt(13) - sqrt(13)))*5.\nAnswer: -40*sqrt(13) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4090*s*v + 10352*s - 2*v**4 with respect to v.\nAnswer: 4090*s - 8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -l**4\/4 - 5*l**3\/3 - l**2\/2 + l + 31. Suppose -i - 26 = -5*d, 6*d - 2*d = -3*i - 2. Let a = i - -1. Calculate h(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 divided by -29?\nAnswer: 62\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 4, 5978, -0.0309, -2?\nAnswer: 5978","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/7 + 231*x + 20852\/7.\nAnswer: (x + 13)*(x + 1604)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -142*l + 148*l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63474 - 31845 = 9*i. Is (2 - -1) + (-2 + -3 - i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1366835*w**4 - 187377*w**2 + 7.\nAnswer: 32804040*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 51*g - 54*g - 2*m + 22, -3 = -g - 5*m. Let o(d) = -d**3 + 9*d**2 - 9*d. Give o(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (35\/14)\/(-5)*6*(-39)\/(-13)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/2)*j*j*j\/(((j\/(j\/(j**1*j)))\/j)\/j*j*j))**(-45))**(-1) assuming j is positive.\nAnswer: j**(135\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13679664 + 382979375\/28. Let n = 1829 + m. Let h = 93588 + -93588. Is n >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1620 and 5913?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 f when two letters picked without replacement from ereuf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -15 - 9. Suppose -g*v + 5*u + 793 = 0, -4*u - 5 = -1. Let p = v + -34. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (572\/50)\/(48\/60). Let k = v + -721\/20. Let j = 1277 + -5173\/4. What is the common denominator of k and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, g: 3}. Give prob of sequence eg.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/8 - (-20)\/16. Let q(t) = -t + 4. Let h be q(5). Suppose -i + 4*z - 3*z + 6 = 0, -5*i = 4*z - 3. Sort i, u, h.\nAnswer: h, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 305\/1 + 2\/(-8)*-20. What is the greatest common factor of t and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 4*x**2 + 1. Let f(y) = 65*y**2 - 3. What is -f(t) - 3*h(t)?\nAnswer: 3*t**3 - 77*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.59704 rounded to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 74a - -4?\nAnswer: 753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(-2)\/(-8)*10. Let v = 37 - 44. Let q be 6\/3*v\/(-14). Sort q, 0, k.\nAnswer: k, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3276 and 78372.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6 times 57.865\nAnswer: 347.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 5:41 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -252 - 1?\nAnswer: -253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -74*n**3\/3 + 1319. Let d(j) = 7*j. Give d(i(s)).\nAnswer: -518*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 7:38 AM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25389\/25 - 1018. What is the common denominator of g and -121\/10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 24232005?\nAnswer: -24232000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 23*l - 16. Let t be v(-22). Let j(n) = 2 - 3*n**2 + n + 6*n - 4 + 1. Let c(k) = -4*k**2 + 8*k - 1. Determine t*j(z) - 5*c(z).\nAnswer: 2*z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-3 - (-10)\/4). Let m(u) = -3*u**3 + u**2 + 3*u + 2. What are the prime factors of m(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7, -5.\nAnswer: -5, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 477128?\nAnswer: 2, 19, 43, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 3:13 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 77 - 40. Is (-3)\/(2\/j*(-11)\/22) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13930*a**3 + 3*a - 65647 wrt a?\nAnswer: 83580*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a*(a\/(a*a*a*a\/a**(-6\/19)*a))\/a*a)*a)**(-21))**(-1\/25) assuming a is positive.\nAnswer: a**(1722\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f - 12*f + 352 = 0. Let c = -222 - f. Suppose 0 = -2*m - 0 - c. Is -65 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 74146 and 524?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30166 is divided by 3764.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42 + -38. Solve 2*f + 4 = -c for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 5*q + 28. Suppose -5*u = -q*u + 300. What is the remainder when u is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36 + 9.869.\nAnswer: 45.869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/7 (b) -63.837 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -438*n - 446*n - 438*n - 440*n + 1760*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and 0.13.\nAnswer: 1.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((-16)\/12*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*t + 29 = 4*c - 191*t, 5*c + 3*t - 7 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -384*r + 766*r = 342*r + 2558000. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.9 - 0.8993. What is o rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 1161*j - 37151. Determine f(32).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000101566 to 7 dps.\nAnswer: 0.0000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46*a*r**3 + a*r**2 + 8*a*r - 3*r**3 - 2*r wrt r.\nAnswer: -276*a - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 3*y + 138, g - 3*y = 686 - 656 for g.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004850223509 rounded to six decimal places?\nAnswer: -0.000485","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 110 and 70?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-30)\/(-105) - (2 - 268\/140). What is the nearest to z in -4, 0.1, 36?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 2224110200?\nAnswer: -2224110202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 29*o + 597. What is h(-20)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.7, -3, 3, 1\/5, -1\/15, 19?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c = -11*c + 567. Calculate the remainder when 51 is divided by c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11170*c**2 + 5597*c**2 + 5597*c**2.\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.358 - 3579?\nAnswer: -3578.642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 - 15. Suppose 4*w + 4*h - f = 2, 3*h + 6 = 3*w. Suppose 0 = 4*c - p - 162 + 7, 0 = w*c + 3*p - 198. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2284500 to the nearest 100000.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-40)\/(-320) - (-7134)\/16. Let g be ((-171)\/114)\/((-2)\/((-8)\/k)). Which is bigger: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -7*f**4\/2 + 2*f**3\/3 + 3*f**2\/2 + 3*f + 7. Let h be 2 + -2 - (2 + 0). What are the prime factors of l(h)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1236724*l*n*w**2 + 25*l*w**2 - 1431*l + n*w**2 + w**2 - 2*w with respect to n.\nAnswer: 1236724*l*w**2 + w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.0861 + -0.0761. Let l = 0.01 - d. Let u = -1441\/9 + 160. Which is the second biggest value? (a) -1\/7 (b) u (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 95069*v = -95065*v - 96, -5*v = -5*z - 75 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42*a**4*v**3 - a**4*v - 2*a**4 - 174*a**2*v**3 + 3*a**2 wrt a?\nAnswer: -1008*a*v**3 - 24*a*v - 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a litre in millilitres?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m*m**(-3)*m))\/((m**1*m*m)\/m))\/(m\/((m*m**(-12))\/m)*m**(1\/7)*m) assuming m is positive.\nAnswer: m**(-106\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -36*s**2 - s - 2. Let l(c) = -73*c**2 - 2*c - 5. Calculate -2*l(b) + 5*r(b).\nAnswer: -34*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -3*q - 114. Let u be ((-5 - -7)*19\/(-1))\/(-1). Calculate the greatest common divisor of q and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*s - 726 = 180 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1\/3)\/z**(-1) assuming z is positive.\nAnswer: z**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 117341120 by -335.\nAnswer: -350272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 669644 and 12284.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**5 - 4*l**4 - 218*l**2 + 3506*l wrt l.\nAnswer: 40*l**3 - 48*l**2 - 436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 - 3860*j**2 - 7736*j.\nAnswer: 4*j*(j - 967)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 342 or 407286?\nAnswer: 342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -112?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/2 - 1062\/(-4). Let z = h + -110. 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 {o: 4, c: 3, m: 3, f: 1}. Give prob of picking 2 m and 1 f.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 26221988017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1342384*l + 320827.\nAnswer: -1342384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -7404*c - 10788*c + 1781*c + 190*c as u*c + l and give u.\nAnswer: -16221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -9*g**5 - 6*g**4 + 66*g**3 + 96*g**2 + 15*g - 18 = 0.\nAnswer: -2, -1, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28125 or 28126?\nAnswer: 28125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2537\/2 (b) 0.1 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/552000 and 139\/252000?\nAnswer: 11592000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -5557456334 and -63639.\nAnswer: -5557519973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of -g**5\/20 + 19*g**4\/12 + 7*g**3\/3 - 13*g**2\/2 - 4*g - 24. What is the units digit of u(18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, h: 3, e: 2, p: 1, b: 1}. Give prob of sequence hhh.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-50))\/((-12)\/(-10)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 337644 less than or equal to 338152?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -621.1577+-550046\nAnswer: -550667.1577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57551\/561 - 1728\/17. Find the common denominator of -2 - (-4 + 314\/60) and l.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {j: 4, b: 6, u: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/((-7350)\/(-148)) - 16\/28?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84822 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-5 + sqrt(98)*-3 + sqrt(98) + -1))**2 + ((-5 + 0 + sqrt(98) + sqrt(98) + sqrt(98))**2 + sqrt(98) - sqrt(98) - 4*(2*sqrt(98))**2) + 1.\nAnswer: 2478*sqrt(2) + 6188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 22, -217, -3?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s - 3*s + 5*s)*(2 + 3 - 4) + 3*s - 3*s - 2*s + (-2 + 0 + 3)*(-3*s + 1 - 1).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**3 + 6 - 4 - 3 + (525 + 821 - 887)*(-c**3 + c**3 - c**3) as z*c**2 + g*c + b*c**3 + a and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a day in minutes?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 61263590?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 36. Let m(w) = -w + 2. Let k(h) = h**3 - h**2 - h - 6. Let p be k(0). Calculate the remainder when d is divided by m(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 4*l**3 - 17 + 29*l**3 + 14*l**3)*(-79 + 8 + 18).\nAnswer: -2067*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1766 divided by -883.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5156c (base 13) in base 16?\nAnswer: 23a11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41\/112 + 1\/112. Let k = 3.12 + -3. Let w = -0.08 - k. What is the nearest to 1\/3 in 2, u, w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108144007.\nAnswer: 37, 2922811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 484260 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 8.66 and -149219550574.\nAnswer: -149219550565.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2210524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5 + 4*6*2*sqrt(272)*-2)**2.\nAnswer: -5013554 + 7680*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b + 39 = -49 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -692, -2883, -6568, -11747?\n\"Answer: -747*x**2 + 50*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 155.18 + -17.48. Let k = m + -138. What is the second smallest value in 0.05, -2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000327551 rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 162*a + 6. Let d(r) = 8*r. Let w be d(-1). Let c be f(w). Is c\/(-8) + (-5)\/20 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25\/29 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-803)\/(-90) - (4 - 136\/36) and 59\/32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -44472 - -1?\nAnswer: -44471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*2*(46\/(-4))\/(-23)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 - y**4)*(-3*y + 0*y - y)*(3 - 2 - 2).\nAnswer: -4*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 4 + 2 + 0 + 0 + (0 - 2 + 1)*(0 + 4 - 3) + 3 - 4 - 1)*(5*o - 3*o + 0*o).\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i + 9*i**2 + 7*i**2 - 45*i**2 - 6 + 12*i**2 to j + x*i**2 + u*i and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 7.4998111 and 9527642.\nAnswer: 9527649.4998111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 244 (base 15) to base 9\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -8 + 8 - -16*(-2 + 3). Solve -3*b - 2*g = -4*g + y, 0 = -b - 2*g for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a = -11*a + 3*t - 9, -2*t + 4 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4628 divided by -68.\nAnswer: 1157\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 141*z + 12.\nAnswer: 141*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2418 and 1014.\nAnswer: 31434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10916 - -11032. What is the greatest common factor of 248 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q*q*q**(-2)))**28\/(q*q*q*q\/(((q**(-1)\/q)\/q)\/q*q)*q)**(2\/87) assuming q is positive.\nAnswer: q**(4856\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (12 + -33 - (-1 - -6)) + 15\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4979 - 7?\nAnswer: 4972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -85914055 and 43.07?\nAnswer: 85914098.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*s - 3*s + 80. Let x be s\/(-2)*(-195)\/(-9). Is x at least -54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/3*(-69015)\/18404?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**3 + b**2 - b**2 + (-7*b + 2*b + 3*b)*(b**2 + 5*b**2 - 4*b**2) - 108*b**3 + 69*b**3 + 76*b**3.\nAnswer: 30*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1830 - 16092 = -3*p + 3*q, 3*p + 5*q = 17930. Suppose 3*a + 4*k = -a + 36344, 0 = -4*a + 3*k + 36365. Suppose -8*r = -p - a. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162)\/sqrt(9) + sqrt(18) + sqrt(18))*-1)\/sqrt(9).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*g - 87*g - 3145*g**2 + 6284*g**2 - 3137*g**2.\nAnswer: 2*g**2 - 161*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31087 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 180\/(-9)*11\/(-55).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 19899214 divided by 10\nAnswer: 9949607\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -3*y - 27, -2*m - 47 = 4*y + 3. Let n = y - -28. Calculate the remainder when n is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from -214368484331.\nAnswer: -214368484331.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 59*s**2 + s. Suppose 44 - 3 = 41*z. Determine f(z).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 131 (b) -1 (c) 5 (d) 1\/4 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7}. Give prob of sequence hhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 339810.7ug in milligrams?\nAnswer: 339.8107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 0, i = 4*u - 330 - 115. Let f = -443 - i. What is the nearest to 2\/5 in -3\/5, f, 45?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12912 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1936) - sqrt(1936))\/(sqrt(400) - (sqrt(400) + -1*sqrt(400))))\/(-2*2*sqrt(242)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*h - 158 - 232 = 162 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -83*g + 42*g + 48*g - 49. Solve g = 4*o - 2*v + 23, 3*o - 2*v = -14 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-32)\/(-112) + 13305\/7 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 1 - 9. Suppose -4*b = -4*o + 364, v*b = 3*b + 4. List the prime factors of o.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**4 + 1713*g**3 + 66777*g**2 + 65067*g.\nAnswer: 3*g*(g + 1)*(g + 41)*(g + 529)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 4*u - 4*u)*(-33*u**4 + 256*u**2 - 256*u**2).\nAnswer: 132*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, -361\/4, 1.5 in increasing order.\nAnswer: -361\/4, 1.5, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-180)*(6 - 3). Let g = -22 - -23. What is the closest to g in -1\/2, 1, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -75180395*c**2*l*v + 69*c*l*v + 145*c*l - 5*l*v wrt c?\nAnswer: -150360790*l*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 w when two letters picked without replacement from wwuwuw.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -5*i**2 + 98095*i + 294330 = 0.\nAnswer: -3, 19622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 19. Solve s*y - 6 = -13 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1941*v**4 - 562*v wrt v.\nAnswer: 23292*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1005 or -13058\/13?\nAnswer: -13058\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 135637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -61 + 118. List the prime factors of s.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17243 = -9*p - 29089. Calculate the common denominator of (-2)\/13 + (-16002)\/p and 51\/158.\nAnswer: 1738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3112.07 - 3140. Let p = -43.2 + 15.2. Let f = y - p. Round f to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9431*s - 23435*s + 10564*s)*(-4*s - s + 3*s) - 2*s**2 - 2 + 2.\nAnswer: 6878*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 260291 to the nearest integer?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (w**2 - 2*w + 2*w)*(5 - 2 - 4) + (11*w - 20*w + 7*w)*(2*w - 5*w + 7*w) + (20*w - 20*w - 5*w**2)*(1 + 1 + 0) in the form a + i*w**2 + k*w and give i.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 297\/(-33) + 26128\/2720 and -103\/102.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, p: 2}. Give prob of sequence pzz.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 28 = -3*f, 39*f - 9 = 44*f - a - 48 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of r**4\/12 - 1919*r**3\/6 - 3*r**2\/2 - 1546*r. Let d(o) = -2*o. Calculate m(d(t)).\nAnswer: 4*t**2 + 3838*t - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*1\/(-15)*(-70)\/182.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/7)\/((p\/p**(-3\/5))\/p)*(p\/(p*p*p**(-3)*p))**(15\/11) assuming p is positive.\nAnswer: p**(184\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 102, -5 in increasing order.\nAnswer: -5, -4, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 229*s + 3. Let i be v(4). Let p = i - 344. Suppose m - p = -4*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/(-27) - (1 + (-33)\/27)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 838*y**4 + 8*y**2 + 575903 wrt y?\nAnswer: 3352*y**3 + 16*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**2 - 195 - 34*w**3 - 89 + 53*w**3 - 17*w**3 to the form u + q*w**3 + d*w + k*w**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15919\/18640 - 101\/233. Find the common denominator of d and -58\/55.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -790*w = -858*w + 432140. What is the highest common divisor of w and 287?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2965 * -1\nAnswer: 2965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00037751 rounded to five decimal places?\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - -388430133053?\nAnswer: 388430133052.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 16 * -3871302\nAnswer: -61940832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2424942 is divided by 808287?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-3) + (-4)\/(-1). Suppose 0 = 3*r - 27 + a. Is (-2)\/r + (-122)\/(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 16. Suppose 3*h + 0 + q = 0. Let g be (19\/((-855)\/(-10)))\/((-10)\/(-18)). Sort h, 1, g, 3 in decreasing order.\nAnswer: 3, 1, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/3, -86, 1, -204, -0.5, 5, 2\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -1394, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 0*o - 4*o + 6 = 27, 5 = 659*o - 660*o for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -21*n - 42. Let v be d(-2). Suppose -5*c + 4*q = -2*c - 32, 4*c - 2*q - 26 = v. Let p(h) = -h**2 + 5*h + 2. Determine p(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -3*p + 34, -4 + 3 = 2*g + 3*p. Let u(k) = -2*k - 6. Let x be u(g). Suppose x*i + 8 = 0, 3*b - i = -0 - 7. Sort b, 4, -2 in ascending order.\nAnswer: b, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -4*y - 6633 + 6629, 7 = p - 0*p - y for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + w - w)*(-w + 6*w - 3*w + 0*w - 2*w + 3*w + (1 - 1 + w)*(1 + 0 + 1) + 3 + w - 3 + 0*w + 0*w + 2*w - 20*w - 4*w - 107*w).\nAnswer: -246*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (737\/(-1452))\/((-2)\/(-1 - -5)) and 139\/48.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -120*b**2 - 50283*b - 1314. Give u(-419).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -v**4\/8 - 2*v**3\/3 + 3*v**2\/2 + 3. Let q(m) be the second derivative of w(m). Determine q(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 13*u**2 + 12*u - 3. Let v be a(-12). Suppose 0 = -4*b + 8, -6 = 4*p - 0*p + 3*b. Let j = p + 3. Are v and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*a + 253 + 36 = 3*k, a - 14 = 26*k - 33*k for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 3, -35, 206 in increasing order.\nAnswer: -35, -4, -1, 3, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 82\/7 - 12. Let v = 26 + -20. Let x = v + -11. What is the smallest value in x, 1, z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -x**5\/25 - x**4\/6 + 3*x**3\/5 + 18*x**2\/5 - 2*x - 6. Factor u(y).\nAnswer: -2*(y - 2)*(y + 3)*(2*y + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 30*t**2 - 128*t - 413. Give z(24).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*n = -61. Let u = n + 59. Let o = u - -6. Let f(p) = p**3 - 5*p**2 - 2. Calculate f(o).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1014?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91 and 8554?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-12))\/((-35)\/(-60)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ipyfppypwfwppipiwwfw. What is prob of picking 2 p and 1 w?\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 5)*35\/28?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -210 + 232. Let f(s) = 15*s - 13. Let i(r) = -4*r + 3. Calculate a*i(p) + 6*f(p).\nAnswer: 2*p - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + o - 1 = 0. Let s = 162400 - 26795998\/165. Which is bigger: o or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8955*i + 8953*i - 224 - 1276)*(i - 5*i + 2*i).\nAnswer: 4*i**2 + 3000*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-103)*(-548)\/1918.\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1.4 (b) 362 (c) -3\/4 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**2 + 3*q + 2. Let f be h(-2). Let p = f - -16. What is the second derivative of -v + v**4 + 3*v + 4*v**4 - v**p wrt v?\nAnswer: 48*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*w. Suppose -j + 3*a + 45 = 0, w*j - 39 = -j - 3*a. Is j a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/14 and -137\/24708.\nAnswer: 172956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -60 + 60.004. Let f = 0.222 - r. Round f to two decimal places.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 5*h**3 - 3*h**2 - 30646 - 4*h**3 + 30630 + 8*h. Give b(4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19877*d**4 + 3816387*d**3 + 244249152*d**2 + 5210673152*d + 786432 = 0. Calculate d.\nAnswer: -64, -3\/19877","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 5*c + 45, 39*c + 7 = 37*c + z for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k + 6. Give u(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 3. Suppose -2*u - i = -0*u - 52, -b*u - 4*i + 112 = 0. Let s = u - 10. What is the remainder when 40 is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 5*r**2 + r - 2. Let t be n(5). Find the first derivative of q**t + 0 - 3 - 2*q + 2*q wrt q.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 14 - 34 = 2*v, 0 = 5*v - 5*j + 40 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + t**2 + 3*t + 2. Let g(r) = -7*r**3 + 5*r**2 - 42*r + 40. Let q(d) = g(d) + 6*l(d). Calculate q(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 584.7 + -273.5. Let u = x + -312. Sort 0.2, -2\/9, -3, u in increasing order.\nAnswer: -3, u, -2\/9, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -6. Let t = 3 - x. Solve t*k - 10 = 2*j - 2*k, -3*k + 17 = -5*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**2 + 1640*b + 336200 = 0. What is b?\nAnswer: -410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 60826 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (10 - 11 - -8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 469 + -464. Suppose 0 = 4*p - 5 - 3. Solve -x = -z - p for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 447 + 415*f**3 - 2*f**5 - 4494*f + 419 - 866 wrt f?\nAnswer: -40*f**3 + 2490*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -866997.242 and -143.\nAnswer: -867140.242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v + 1. Let k(g) = -5*g - 8. Let s(h) = -k(h) + 6*o(h). Is 14 a factor of s(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -356*w - 65*w - 97*w = 171*w + 8957 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**3 + 6*p**2 + 2*p - 4. Let v(n) = 2*n - 3. Let j be v(3). Let u be s(j). Solve 1 + 7 = u*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252555767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17288*v + 51856*v - 17281*v + 17*v**2 - 17287*v.\nAnswer: 17*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-54)*-9)\/((-3)\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.65 + -0.23. What is z rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 + x + (7 - 1 + 1)*(-1 - x + 1) as y + f*x and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -3*o - 38 + 2, 3*u = 5*o + 68. Does o = -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*c - 36*c = 2*f - 2000156, -4*c - f - 1600117 = 0. Round c to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -197 - -183.8. Let i = r - -16.2. Sort i, -3\/2, 0.05, 0.1 in ascending order.\nAnswer: -3\/2, 0.05, 0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*l**2 + 11 - 11.\nAnswer: -14*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176803.\nAnswer: 11, 16073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2110144 - 44?\nAnswer: 2110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233*c + 238*c = -40. Let a(h) = -h**3 - 5*h**2 + 6*h - 36. Is a(c) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of w**4\/54 + 5*w**3\/27 - 2*w**2\/3 + 221*w. Factor g(i).\nAnswer: 2*(i - 1)*(i + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89370123 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: In base 12, what is -4 + 3770a7?\nAnswer: 3770a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(-9\/5))**(-45))**(-3\/14) assuming d is positive.\nAnswer: d**(27\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 108 + -100. Suppose -j = 4*o + 22 - 29, g = -4*o - 4*j. Solve -4*w = -5*h - 23, o*h - 4*w + 19 = w for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -137 - 9. Let k = -133 - q. Solve 5*s + k = 5*a + 3, 0 = 5*s for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10865 (base 10) to base 4\nAnswer: 2221301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((933120\/72)\/80).\nAnswer: -1\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of l**4\/4 - 11*l**3\/3 - 13*l**2\/2 - 13*l - 6. Let y be r(12). Let h = y + 36. What is the least common multiple of h and 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2505 is divided by 831?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6483?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 4*d - d + 1880, 3*s + 5*d - 5590 = 0. What is the greatest common divisor of 35 and s?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/9, -2, -0.5, 0, -15?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 8:04 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-45)\/2*((-28)\/(-6))\/(-14)*-44. Sort 2, x, -4 in increasing order.\nAnswer: x, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -30.67\nAnswer: 61.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5582, -9973, -14364, -18755, -23146?\n\"Answer: -4391*t - 1191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 411*w**2 + 8*w + 8. Let r = 12 + -13. List the prime factors of a(r).\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, 50\/3, -176?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 5. Let d be 1*(-1)\/((-41)\/f). Let y = -33\/164 + d. Which is the smallest value? (a) 2\/3 (b) y (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 79647 by 1.\nAnswer: 79647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 5322000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -x, -9 = 4*x - 1. Is 206 + 7 + (-2)\/h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*n - 1006 + 438 = 7748. Solve n + 54 = 48*j for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225467838?\nAnswer: 2, 3, 17, 736823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3379720898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 2:08 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -30*d**2. Let v(c) be the first derivative of 2*c**3\/3 + 4. Give m(v(r)).\nAnswer: -120*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 - 65?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2671 + 84665?\nAnswer: 84664.7329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbaba. Give prob of sequence ba.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (2 - 0) + -29 + 28 + 17\/(-2)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2895359.\nAnswer: 2895359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*y - 1661 - 517 = -29*y for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**2 + 815508*q = 0. Calculate q.\nAnswer: 0, 203877","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/(1 + -4))\/2. Factor -4*u**2 - 5*u + 0*u - 3*u - 4 + a*u.\nAnswer: -4*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1300365 divided by 7881?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*i + 8*i**2 + 11*i**2 + 21*i**2 - 12*i**2 to v*i + s + f*i**2 and give f.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1766341?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 10100111111?\nAnswer: -10100111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kr when two letters picked without replacement from rrrrrxkrrrkrrrrrr?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8268 is divided by 433?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2203 - -12347.\nAnswer: 10144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 29653, -2, 4, -3, -5, -4 in decreasing order.\nAnswer: 29653, 4, -2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1875 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 22418917 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -432 + 430. Let w(q) = 5*q**3 + 35*q**2 - 35*q + 35. Let j(h) = -h**2 + h - 1. Determine m*w(g) - 70*j(g).\nAnswer: -10*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.23 - -0.43. Suppose 14 = a + 3*i, -2*a - i = -5*i + 22. Suppose -3*s - 4*f + 10 = 0, 7 = 3*s + 2*f - f. What is the closest to s in h, -4\/3, a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-6))\/((21\/(-45))\/((-76)\/(38000\/(-450)))).\nAnswer: 45\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 5*j. Let t(s) = 26*s**2 + 140. Give f(t(b)).\nAnswer: 130*b**2 + 700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 160*y**3 - 620*y**3 + 6*y - 11*y + 5*y.\nAnswer: -780*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-two fifths of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4623560?\nAnswer: 2, 5, 115589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 0.4 (c) 3\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(39)\/sqrt(3)*1 - (sqrt(1300) + 1))*4)**2*3.\nAnswer: 21600*sqrt(13) + 1264800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126194376.\nAnswer: 2, 3, 7, 11, 23, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 + 1)*(-3*c**3 - 1 + 1) + (-3*c + 2*c + 0*c)*(40*c**2 - 22*c**2 + 87*c**2) to u + b*c**3 + d*c**2 + n*c and give b.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqj when four letters picked without replacement from qqjqqjq?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/11 (b) 5 (c) 4 (d) -3\/4 (e) -0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 358474050 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 10*c - 128. Let a be w(14). Suppose -312 = -a*m - 48. Solve 0 = 4*h - 34 + m for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2*b = -3*q + 6, -12 = q - 4*b. Suppose q = 2*g - 4*g. Suppose 0*w = -n - w + 15, g = 2*w - 2. What is the remainder when n is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttqt when four letters picked without replacement from {q: 7, t: 7}.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 908987299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u - 7 - 5 + 1 + 0 + u**2. Suppose 7 = 2*m + 17. What is the units digit of l(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1773574 is divided by 46673?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26056, 26097, 26138, 26179?\nAnswer: 26220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 12*h**2 + 2*h. Let a(z) be the first derivative of -z**5\/60 + 205*z**3\/3 - 31. Let m(l) be the third derivative of a(l). Determine c(m(i)).\nAnswer: 48*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(153)*2)**2.\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*-3*19\/(-6). Let q = -10 - c. Suppose n + 2*a + 8 = 0, -3*a + 14 = -2*n - 6*a. Do q and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from uuuupubuu?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 226, 413, 600?\nAnswer: 787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 380*l + 7. Let w(q) = 395*q + 4. Determine -3*w(m) + 2*x(m).\nAnswer: -425*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-u - 3*u + 2*u)*(-4*u + u + 4*u) - 26*u**2 - 40*u - 3*u**2 + 33*u**2 - 1)*(-9*u**2 + 3*u**2 - 4*u**2).\nAnswer: -20*u**4 + 400*u**3 + 10*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2311566 > 2311567?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (23 + 1530\/(-54))*3\/(-6)*3. Calculate the greatest common factor of f and 904.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of y**2\/2 - 5*y + 85. Suppose 3*f - 15 = -0*f. Calculate p(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0\/z*z\/(z**3\/z))\/(z**(-4)\/z*z**(-3\/5)))\/(z**2*z*z**3\/z*z)**11 assuming z is positive.\nAnswer: z**(-312\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 372 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1001021100 + 3220?\nAnswer: 1001030320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 7*w**2 + 2*w - 13. Give g(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4*x = -484, -2*z + 132 = 2*x - 118. Let b(s) = -26*s - 1. What is the remainder when z is divided by b(-1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 24 = -4*t + k, -3*k = -12. Calculate the common denominator of 71\/16 and 318\/80 - (6 - (0 + t)).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 65966\/15, -1, 0.274, -0.1?\nAnswer: 65966\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, 4, -409, -3\/16?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**3\/11 - 1270*r**2\/11 + 9048*r\/11 + 38520\/11 = 0?\nAnswer: -642, -3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, a: 2, t: 4}. Give prob of sequence tas.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -9*q**2. Let n(c) = 7*c. Calculate w(n(t)).\nAnswer: -441*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 58604 a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12644 (base 7) in base 5?\nAnswer: 102123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 28813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -735*y + 732*y - 18, 2*r = 2*y + 19658. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2511*b**2 - 2*b - 2 + 1 + 2928*b**2 + (3*b - b - b)*(1 - 1 + 2*b).\nAnswer: 419*b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.5 - 4. Let g = 0.5 + x. Let j = -0.13 + 0.03. Which is the third smallest value? (a) g (b) j (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1340 - 120?\nAnswer: -1460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -2 - (1 + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1412020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b7c (base 14) to base 6.\nAnswer: -35110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4.36595 * -25\nAnswer: -109.14875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uruvnrrrugrv. Give prob of sequence uu.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1249861 to the power of 1\/2, to the nearest integer?\nAnswer: 1118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6187 times -13\nAnswer: 80431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 28*x + 3. Let y be i(0). What is the second derivative of -29*p - 8*p**2 - 6*p**y - p + 7*p**3 - 19*p wrt p?\nAnswer: 6*p - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence imie when four letters picked without replacement from iiiiecmcmcim.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -79, -163, -259, -367?\n\"Answer: -6*z**2 - 66*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5*sqrt(114)*-2)\/(sqrt(18)\/sqrt(3)*5).\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 165 - 145. Suppose -3*b + 5*j + 16 = 0, 4*b = 2*j + l - 22. Suppose -4*t - 2*h + 24 = -b, -5*t + 5*h + 75 = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*y + 10 = 0, -16 = 2*k - 2*y + 28. Let w(d) = d**2 - d - 10. What are the prime factors of w(k)?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/(-200)*2*(-62)\/279.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -2 - 3, -4*t - 353 = 3*z. What is the hundreds digit of (-1)\/(-7) - 21641\/z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101010111100010 (base 2) to base 15\nAnswer: -67ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 381 = -519*h + 522*h. Let v = -125 + h. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1869121, -3738240, -5607359?\nAnswer: -7476478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -530*b - 334*b - 5*b.\nAnswer: -869*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of 1\/120*c**6 + 7\/24*c**4 + 0 - 2*c**2 - 2\/3*c**3 + 0*c - 7\/60*c**5. What is the units digit of j(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4, -6, -1, -245?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 187*-2.89\nAnswer: -540.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 850428 to the nearest integer?\nAnswer: 922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -20*r**2 + 13*r - 45. Let g be o(6). Let l = g + 1102. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 12893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/12882 and -49\/904.\nAnswer: 51528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1112620*n - 1112620*n - 4*n**2.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1487 + -1 - 0\/(-1 + 4). Is 8\/(-4)*(-1 + i\/(-4)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -aa3b - -3?\nAnswer: -aa38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 791115 times 0.31\nAnswer: 245245.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*u**6*w**2 + 5*u**4*w**2 + 16*u**2 + 2*u*w + 3*w**2 wrt u.\nAnswer: -840*u**3*w**2 + 120*u*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**5 - 81*r**4 - 2402*r**3 - 30564*r**2 - 130248*r + 163296.\nAnswer: -(r - 1)*(r + 18)**3*(r + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -850 + 884. Suppose 0 = 159*f - 142*f - b. Calculate the greatest common factor of f and 98.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 69210?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-37 - 1)*(-26)\/1326. Let a = 2711\/3570 - j. Find the common denominator of a and -57\/22.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51987*y - 6 = 51992*y - 22*g, 18*g + 46 = -y for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 1966*r + 11767. Give q(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**2 + 33*a + 66. Let q be u(-10). Suppose -21*j - 240 = -q*j. Calculate the smallest common multiple of j and (6 + 0)\/((-2)\/(-4)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 2*a + a + (-2*a + 4*a - 3*a)*(3 + 0 - 1) - 4*a + 2*a + 0*a + 2 + a - 2 + 3 - 3 + 2*a)*(2*a + a + 2*a)*(-5*a - 3*a - 2*a).\nAnswer: -50*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 518046727 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450) - (sqrt(450) - -1*sqrt(450)))\/sqrt(10) + -2 + sqrt(125) + sqrt(100)\/sqrt(5).\nAnswer: -2 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a factor of 2849938960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.0511 * -53.38\nAnswer: -2.727718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5132.29 + 287884?\nAnswer: 293016.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 411491 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 321325*l - 1 + 302724*l.\nAnswer: 624049*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 24 = -3*a - 0, 4*a + 6 - 5 = 3*a - 3*c for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 779559929 - 1492077743027\/1914. Let y = -1\/638 - b. What is the common denominator of y and 43\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 1237.\nAnswer: -6\/1237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + l**2 - l**2. Let c be k(0). Solve 0*v + v = c for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 504 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 2:51 PM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 234903 to the power of 1\/2, to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 4*d**2 + d + 3. What is n(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*d + 54*d - 55*d.\nAnswer: -67*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2793) + (sqrt(2793) - (sqrt(2793) - (sqrt(2793) - 3*sqrt(2793) - sqrt(2793)))) - sqrt(57))\/sqrt(3).\nAnswer: -15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-3)*0\/(18\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 24, 15, 0, -21?\n\"Answer: -3*w**2 + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) -0.02 (c) -0.4247 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*l - 153*l**2 + 28*l**2 - 6*l in the form v + c*l**2 + z*l and give c.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*o + 4*o + 13 - 18 in the form m + j*o and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.462138 and 0.5.\nAnswer: -1.231069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 891210 and 103334?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2430752993.\nAnswer: 2430752993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1283 + -1280. Let k(s) = -s**3 + s**2 + 2*s - 1. Let f be k(2). Let b be 3 + -2 + 1 + f. Sort d, -4, b.\nAnswer: -4, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7511034 >= 7511060?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -6*r**2 + 14*r**2 - 26 - 7*r**2 + r. What are the prime factors of a(8)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - n = 7, 19*p - 18*p = n - 1. Which is the third smallest value? (a) -4\/7 (b) -0.4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 209 + 634. Let o = h - -160. Is o a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11095 plus 84?\nAnswer: 84.11095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3 = 4*k, -3*k + 2 = 4*b + 28. Let x be 102\/(-24)*8\/k. Suppose 7*p + 816 = 13*p. What is the greatest common divisor of p and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 74, -3\/2, -0.1031, -2 in ascending order.\nAnswer: -2, -3\/2, -0.1031, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -413*r - 12. Let f(i) = 398*i + 17. Give 5*f(b) + 6*k(b).\nAnswer: -488*b + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -8 - (0 + (10 - 5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1380016 - -222?\nAnswer: 1380238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-5\/3)*g*g**(-5\/14) assuming g is positive.\nAnswer: g**(-1\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -19 - 4 - (-9 + 25 + -22 - 5)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 + 25.9. Let m = 5 + 1. Suppose m*p - 25 = p. Which is the nearest to g? (a) p (b) 0.1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1558937 (base 13) to base 12.\nAnswer: 2361432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -45\/8*r**2 - 85\/24*r**4 + 5\/56*r**7 + 11\/24*r**6 - 5\/8*r**5 + 0 - 107*r + 65\/8*r**3. Determine x, given that y(x) = 0.\nAnswer: -3, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -942*z**4 + 990*z**4 - 2 + 0 - 12 - 5*z**3. Let p(b) = -72*b**4 + 7*b**3 + 21. Let d(j) = 5*p(j) + 7*y(j). Differentiate d(g) wrt g.\nAnswer: -96*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -547*v**3 - 522*v**3 + 1044*v**3.\nAnswer: -25*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 788 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 652253?\nAnswer: 7, 93179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 16. What is the highest common divisor of 112 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m + 12*m - 21*m + 23*f = 25*f - 27, 10*m - 2*f = -40 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3432421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirteen quarters of a kilogram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5.7894493 and -4.\nAnswer: 1.7894493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2*d + 5. Let t(w) be the second derivative of -w**3\/3 - 7*w**2\/2 - w. Determine t(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -w**7\/105 - 11*w**6\/120 - 37*w**5\/60 - 46*w**2. What is the third derivative of z(l) wrt l?\nAnswer: -48*l - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 3*p + 5. What is t(7)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -1\/12*t**4 - 14*t + 3*t**2 + 0 + 5\/6*t**3. Let z(w) = 0. What is w?\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -578 + 583. Sort b, -4, 2 in decreasing order.\nAnswer: b, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5657000 to the nearest one hundred thousand.\nAnswer: 5700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 5*m**5 - 25*m**4 + 100*m**2 - 80*m = 0.\nAnswer: -2, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323676.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -12*i**3 + 2*i**2 + 4*i - 3. Suppose -3*m + 3*p = -6, 3*m + 2*p - 14 = -8. Let q(n) = n**3 + n**2 + n - 1. Give m*q(s) - b(s).\nAnswer: 14*s**3 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 131009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -m**4 - 3*m**3 + 243*m**2 - 227*m - 85422175?\nAnswer: -4*m**3 - 9*m**2 + 486*m - 227","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-70675)\/(-550) - 25\/20*2\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -14 + 2. Suppose -y*t = 6*t - 36. Solve -t*f = -3 + 11 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 107262\/(-8484)*(-392)\/(-420).\nAnswer: -59\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -734, -1441, -2158, -2891, -3646?\nAnswer: -4429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/31, 1\/26, 5, -7, -1\/8, -0.1 in decreasing order.\nAnswer: 5, 1\/26, -3\/31, -0.1, -1\/8, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -7*i**2\/2 + 3. Let g(q) = 2*q**2 + 2*q**2 - 2*q**2. Calculate w(g(d)).\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -2*x**3\/3 - 8. Let p(v) = 32 - 32 - v**2. What is p(i(c))?\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03449554 rounded to three decimal places?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 6)\/(((-1216)\/1024)\/((-4)\/(-48)) + 15)\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7 - (-4 + 2 + 0). Let t be 20\/(-50) - 5999962\/a. Suppose 4*l + 8 = 0, -t = p + p - 4*l. What is p rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/42 and 133\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sfqssfqss. What is prob of picking 1 f and 1 q?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -86*n + 13 + 43*n + 44*n + (0 - 2*n + 0)*(-5 - 1 + 4) + 4*n - 2*n + 4*n to u + w*n and give w.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o - 9450 = -166*o. Calculate the remainder when 450 is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -u**4\/6 + u**3 - 3*u**2\/2 - 6*u. Let s be w(2). Let z(q) = -2 + s - 3*q + 3 - 5. Give z(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4*x + 20 = 0, 3*s - 59*x = -63*x + 50. Which is bigger: 9 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 6 - 1 - 3*r**4 + 4*r**4 + 2*r in the form g*r**2 + i + a*r**3 + l*r + f*r**4 and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1560332, 1560331, 1560330?\n\"Answer: -w + 1560333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -5\/10811496?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -8*u - 4. Let q(b) = -7*b - 3. Let o(r) = 3*m(r) - 4*q(r). What is the tens digit of o(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-5))\/(5\/(-25)) + 4. Let u be 26*(-1)\/(-2) + -2. Solve s = -3*g - u - 4 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 178728\/1553 or 115?\nAnswer: 178728\/1553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3319 + -3337. Which is the closest to 1\/8? (a) 0.2 (b) 0.5 (c) -0.3 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(5 - 78\/12). Solve -k - a*k = -15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-1) + 1 - (-116 + 119). Let g = -93 + 98. Which is the third biggest value? (a) x (b) 3 (c) 1 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -0.1 (c) -3\/4 (d) 0.2 (e) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -48105796\nAnswer: 4810579.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 1:29 PM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 145397?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -39141.\nAnswer: -2\/39141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/14019265 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 400 and 24576850.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (6*17\/(-374))\/((-3)\/(-2))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.104 + 60.896. Let p = 60.6 - z. Let u be 4\/(-6) - (-15)\/(-18). Which is the second biggest value? (a) p (b) u (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(6\/11)*l**(8\/7)*l)\/(((l\/l**(4\/7))\/l)\/(l\/((l\/l**8)\/l))))**46 assuming l is positive.\nAnswer: l**(43424\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -33*o + 2. Let w be b(0). Solve 5*u + 9 = 2*h - 14, 2*h - 8 = w*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, a: 9}. Give prob of sequence ea.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10.41998744 - 10.42. What is c rounded to six decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4*a = -6*z + 48, z + 2*a = 8. Let d = z - 18. Put -5, 2, d in ascending order.\nAnswer: -5, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -34*o**3 + 3*o - 4. What is r(1)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 808981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7373 in -4, 0.2, -0.05?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2*j - 15 - 5 = 0, -5*x + 35 = 5*j. Let c(y) = -x*y + 7 + 0*y + 55*y**2 - 14*y**2. Is c(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000120879 to 5 dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**3 - 219*o**2 + 245*o + 8533. What is d(108)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a kilogram in grams?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t - t + 3*t + (-21 - 3*t + 21)*(0 - 1 + 0).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100211002 (base 3) to base 6.\nAnswer: -324132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/8*(5 + 1). Suppose 1 - d = -v. Suppose -3*c = -h - 7, -3*c + 4*c = -v*h. Solve -3 = -c*y + 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07137907 minus 5472?\nAnswer: -5471.92862093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*2 - 0 - ((-396)\/36 - -10). Solve 4 = o*h - 2, 0 = 3*r + 5*h - 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 c, 1 n, and 1 m when four letters picked without replacement from csmcscmsmns.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -134 equal to -125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 5*y + 14 = -3*t, -3*t = -2*y + 17 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -72520 (base 13) to base 3\nAnswer: -101102110201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*b*l**2*m + 14*b*l*m + 34*l**2*m - 6*l**2 wrt b?\nAnswer: -12*l**2*m + 14*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, c: 1, p: 2, r: 1, w: 4}. Give prob of picking 1 c and 2 l.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -33534547.\nAnswer: -10060364.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -m**5\/30 + 7*m**3\/6 + 4*m**2. Differentiate t(g) wrt g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qcujfqju. Give prob of picking 1 j and 1 f.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.04 (b) 5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 864326 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q, -3*z = -0*z - 4*q - 2 + 23. Let g(t) = -t**2 - 12*t - 18. Give g(z).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gpphpgpgpgg. What is prob of picking 3 g and 1 p?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**21\/(p*p\/p**(-3\/4)))**(2\/61) assuming p is positive.\nAnswer: p**(73\/122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 4*s**2 - 3*s - 1. Let i(g) = -g**3 - 5*g**2 - 4*g - 1. Let x(h) = -h**2 + 6*h - 4. Let w be x(2). What is w*i(d) - 5*p(d)?\nAnswer: d**3 - d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 863.95, 0.02, 0.5, 0.\nAnswer: 0, 0.02, 0.5, 5, 863.95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -126 (base 7) in base 14?\nAnswer: -4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5752699 and 0.02.\nAnswer: 0.011505398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, -2\/17, -6847, 2 in descending order.\nAnswer: 2, -0.01, -2\/17, -6847","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*l - 1. Suppose -6*u + 2*u + 8 = 0. Determine b, given that 0*b + 3*b - b**3 - 2*b**u + l - 2*b = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 2:39 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3*t = 7 - 0, 4*t = 5*d - 30. What is the remainder when 1*3*14\/d is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -95108, -190269, -285430, -380591?\n\"Answer: -95161*k + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**21*l*l**(9\/2) assuming l is positive.\nAnswer: l**(53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r. Let k(n) = 5*n**2 - 8 - 11 + 16 - 5 - 2. What is p(k(a))?\nAnswer: 10*a**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5022254 * 0.4.\nAnswer: -2008901.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((18\/(-7))\/(3\/(-21)))\/1. What is the highest common factor of r and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -80 + 81. Let d be 2\/c*1*2. Suppose -d*q - q = 2*l - 1176, q - 249 = -5*l. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.0696 (b) -456.026 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1988, -1983, -1976, -1967, -1956?\n\"Answer: w**2 + 2*w - 1991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15548 and 156.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d + g + 54 + 296 = -g, -g - 39 = d + 7 for d.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -72 + -5?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 55 = -2*r, -115*j = 4*r - 116*j + 145 for r.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/1 + -4)\/(-11 - -10). Is w greater than 19\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 369 is divided by 96?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-11)\/3)\/((-2)\/54). Suppose -5*g - 4 = 5*w - w, 0 = 4*g - 5*w - 5. Suppose g - 27 = -3*s. What is the highest common divisor of v and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 55\/(-45) + (-2)\/(-9). Let l be 4\/(-8)*(p - -3). Let o = 8 - 5. Sort l, 1, o in descending order.\nAnswer: o, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 equal to 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14295 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4*s - 978 = 0. Let c = s - -215. List the prime factors of c.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 1 - 4 - (-64)\/384 - (-382)\/12\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*y + 17. Suppose -j - 37 = -3*j - y*o, -3*j + 13 = -o. Solve 4*v - j = 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 8*r**2 + 12*r + 16. Let b(k) = -3*k**3 - 24*k**2 + 38*k + 47. Let v(u) = 4*b(u) - 11*m(u). Let y be v(-10). Solve -7*c + 3*c - y = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40 - 37. Sort -3, c, 5 in decreasing order.\nAnswer: 5, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 109669109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fttt when four letters picked without replacement from {r: 5, t: 9, c: 2, f: 3}?\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8108 - 8107.954385. Round k to 3 decimal places.\nAnswer: 0.046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 5:13 PM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/4 of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -1\/168*y**8 + y**2 + 0*y**5 + 0 + 0*y**4 + 1\/105*y**7 + 1\/30*y**6 + 0*y**3 + 0*y. Factor k(c).\nAnswer: -2*c**3*(c - 2)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d + 8. Suppose 0 = -l + 4 - 0. Suppose -5*x - 12 = 2*u, 30 = -u - l*u + 5*x. Let f be b(u). Solve -5*p = -3*a - f + 19, 3*p + 11 = 2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000167755 to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*p = 67*p - v - 13, -5*v = 11*p - 40 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -743 + 47 = -29*l - 0*l for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 5*g**2 - 8*g - 6. Suppose -6*z - 2*z = -40. Suppose -1 = -i + 1. Suppose -t - 26 = z*u, i*t + 8 = 4*t. Calculate c(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*n - 31*n + 80 = 0. Let f(j) = -j**3 + 21*j**2 - 18*j - 37. Let o be f(n). What is the first derivative of o*r**2 + 11*r**2 + 18 + 8*r**2 + 13 wrt r?\nAnswer: 44*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-3)*3\/12*-1.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9\/10 of a century?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19256 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 907 + 1703. Suppose -3*d - 2*y + 1561 = 0, 5*y = 7*d - 2*d - n. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78109 + 78109 + 1311*f**3 - f + f.\nAnswer: 1311*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010000110111000110111111000 + 0?\nAnswer: -10010000110111000110111111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 - 1)*(0 - 2*i + 0) + 0*i - 3*i + 4*i to the form r + v*i and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 11:20 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 696\/(-72) - 49\/63*3\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -7*q**2 - q - 31. Let o(v) = -v. Let c(i) = -2*l(i) + 22*o(i). Let x(z) = -2*z. Give x(c(s)).\nAnswer: -12*s - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3121 - 12310?\nAnswer: -22031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5680224 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 4:03 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 25 - 7*i + 8*i - 24*i + 16*i. Calculate x(10).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13.2 + -13. Let a = -2398\/2985 - -2\/597. What is the third smallest value in 2, a, -0.1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 35821 and -9?\nAnswer: -322389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 126*n - 130*n + 320. Let s = n - 253\/3. Let z = -19 - -15. Which is bigger: z or s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 5*f + 1. Let p be j(4). What is the lowest common multiple of (-12 + 0)*p\/(-15) and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.006 - 0.076. Let z = -0.5 + 0.3. What is the closest to v in z, 0.2, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 2*y + 30. What is the remainder when 100 is divided by o(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -6*h - 83. Let b = 42 - 61. Calculate the remainder when 121 is divided by x(b).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 3*o - 0*w + 4*w, -16 = 2*o + 4*w. Find the third derivative of 5*d**6 - 2*d**2 - 2*d**6 - d**o wrt d.\nAnswer: 360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33654 is divided by 265?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a**2. Let l = 15 - 13. Suppose -l*v - 6 = 2*y, 4*v - 6*v - 12 = -y. Let w(c) = 3*c. Let j(r) = -6*r. Let k(p) = v*w(p) - 2*j(p). Determine t(k(f)).\nAnswer: 27*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 23*p**2. Let u(b) = -1206754*b + 4. Give u(g(z)).\nAnswer: -27755342*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 8:14 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1298, 1246, 1196, 1148, 1102, 1058?\n\"Answer: t**2 - 55*t + 1352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**2 - 3751*u - 11255. Calculate a(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -75 (b) 0.03 (c) 0.4 (d) -0.031\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 3126 = 36. Is t a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 498*j = -3*y + 500*j + 13, -2*j = 2*y + 8 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -5*u + 2. Let s(i) = -6*i + 2. Let x be (-2)\/8 + 195\/(-52). Calculate x*k(r) + 3*s(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 10, -1 in descending order.\nAnswer: 12, 10, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oboowbuzobobwwo. What is prob of picking 1 z and 2 b?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zrzzrzbzbbrb. What is prob of picking 1 b and 1 r?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t**2 - 20*t - 8*t**2 + 19*t + 3*t**2 + 0 + 0 + (3*t - t + 0*t)*(-1 + 2*t + 1) - 1 + 2*t**2 + 1 + 7*t**2 - 2*t**2 - 3*t**2.\nAnswer: -t**2 - t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*(0 + -2)\/((-4)\/(-2)). Suppose 4*o - 2926 - 2174 = v. List the prime factors of 4\/(-18) - o\/(-27).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*f - 629 - 75. Let r = 19 + f. Let w = -29 + r. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of 0 - 1\/2*c**3 + 25*c**2 + 0*c + 7\/2*c**4. What is the units digit of b(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-2 - -3) - (-4 + 5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.6137391 to two dps.\nAnswer: -2.61","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25197*l**3 + 6062*l**2 + 3 wrt l.\nAnswer: -151182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**1)\/o)**(-22)*(o**(-2\/7))**(-2\/11)*(o**5\/o)\/((o\/o**(1\/5)*o)\/o)*o**(-8)\/o**3 assuming o is positive.\nAnswer: o**(5487\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000050875 to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 135 + -72. Suppose 3*h - 21 - 38 = t, 3*h - o = -3*t. What is the lowest common multiple of (80\/(-6))\/(-1)*(-3867)\/(-2578) and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a millennium in centuries?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 56245054 (base 8) to base 10\nAnswer: 12143148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2672)\/501*(18\/(-4))\/3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(3\/(15\/(-2))). Let k(i) = i + 1. Let g(u) = 3*u - 15. Let a be g(6). Let h(j) = -j**3 + a + j**3 + 5*j + 2 + 3*j**3. Determine o*k(q) - h(q).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 60 = -q. Suppose 0 = 4*o - 2*g + 32, 0 = -2*o - 0*o + 2*g - q. Suppose 0 = 11*n - 4*n + 49. Is o >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 292 + 309 = -a, 8*b - 26 = 5*b - 3*a + 13 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/4 and -13\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*g + 3*g = 5, -2*g = -3*y + 12. Let b(z) = -4*z**2 + y*z - 2*z. Let o(n) = 2*n + 3. Let l(a) = a + 2. Let j(v) = -3*l(v) + 2*o(v). What is j(b(u))?\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*m - 87*m + 783 = -184*m for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-14)*-17*(-85)\/(-1734).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 660577536 a multiple of 384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -a3?\nAnswer: -9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1169?\nAnswer: 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-3))\/(2892\/228468)\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24562, -49039, -73424, -97717, -121918, -146027, -170044?\nAnswer: -193969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 539 is divided by 54.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + 0. Solve -a*w + 26 = 6 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34967?\nAnswer: 73, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4 + 7*z - 2*z**3 - 6*z**3 + 7*z**3 + 5*z**2. List the prime factors of f(6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2499895 + -0.25. What is x rounded to 6 dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 531 and -0.4.\nAnswer: -212.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 85*p**2 + 2229755*p - 10232430.\nAnswer: 5*(p + 26237)*(17*p - 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*b - 2*z = -19*b - 6554, 4*b - 13138 = z. What is the thousands digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4556)\/(-469) + (-2)\/(-7). Solve -c + 4 = 5*s - 18, j = 3*s - c for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 28 = 3*o - 4*o, 0 = -3*o + 12. Let w be (-3)\/(-6) + n\/8. Suppose -2*m = k - 7 - 8, 2*k = w*m + 30. Does 15 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2849\/(-1628))\/(3\/(-4)).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {v: 6, i: 4, f: 4}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 16*i - 36. Let d be c(-18). Solve -3*z = -d*z + 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/440*-16)\/((-2)\/(-5)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30181995, -120727990, -271637983, -482911974, -754549963, -1086551950, -1478917935?\nAnswer: -1931647918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jw when two letters picked without replacement from jjjwjlljjwj.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 9:29 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**3 + 13*t**3 + 2*t**2 + 4*t**3.\nAnswer: 19*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*b - 1 - 103*b - 8437*b**3.\nAnswer: -8437*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 740 + -754 - (0 - 28)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8830 + 8829.95. Which is the fifth biggest value? (a) -4 (b) 0.1 (c) w (d) -5\/2 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 4*a + 72, -t - 3*a = -2*t + 31. Suppose 0 = n + 3*u - t, 3*n + 41 = -3*u + 119. What is the lowest common multiple of n and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 169.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18453157?\nAnswer: 41, 450077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*d = 28, -k = -2*k - 4*d - 12. Let l(x) = -4. Let j(f) = 6 - 9 + f + 2. Determine k*j(y) - l(y).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 10*t = -25. Let c(h) = -h**3 - 2*h**2 + 7*h - 1. Let a be c(t). Let p = a - 23. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 124\/561 - 7\/34. Let p(g) be the second derivative of 1\/165*g**6 + 0*g**5 - 5*g + 0*g**3 + 0 - i*g**4 + 0*g**2. Find u such that p(u) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 447843.\nAnswer: 3, 11, 41, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(24)*1)\/sqrt(4))\/(4*(sqrt(2)*4 - sqrt(2))))**2.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 11*l - 4. Let j(b) = -15*b - 4*b - 12*b - 7 - b**2 + 8*b. Let a(k) = 2*j(k) - 5*u(k). Find h such that a(h) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -2\/5, 2, -1, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.93 and -74.\nAnswer: 68.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 111*l - 94. Let b be o(13). Suppose v + 707 = 2*f - 4*v, 3*v = -4*f + b. List the prime factors of f.\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a centimeter?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g - 95 = 97. Let n be ((-9)\/(-12))\/((-3)\/g). Suppose 2*i - i + 5*b = 211, 211 = i + n*b. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 7*b**2 + b - 5. Let r be q(5). Let o = r + -121\/2. Calculate the common denominator of o and 99\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 642*a - 2527*a + 638*a + 640*a + 612*a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 330652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -389654.2275 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*c - 6*c. What is the third derivative of -5*f**2 + 5*f**2 + 5*f**2 + c*f**5 wrt f?\nAnswer: 180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1348471.\nAnswer: 29, 46499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19766155314718\/17347 - -1139456696. Let r = -4\/913 - y. What is the common denominator of r and 3\/4?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 (base 10) in base 11?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 53933*f**2*x + 25*x - 202 wrt f?\nAnswer: 107866*f*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1840\/591 - 48053461\/11820. Let u = -4074 - f. Find the common denominator of -11\/8 and u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r**2 + 2*r + 2. Suppose -2*i = -k - k - 10, 5*k - i = -25. Let h(z) = -4*z**2 - 3*z - 2. Let t(b) = k*u(b) - 4*h(b). Determine t(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 12 = -3*a. Suppose -a*c = b - 16, 0 = c - 2 + 4. Calculate the smallest common multiple of 2 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*p + 6. Suppose 0 = 3*d - 4*i + p, 0*i = 4*d - i + 8. Let c be (0 - 2)\/(d\/5). Solve 10 = -5*u - c for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45 - 205*g - 23 - 22 to the form a + r*g and give r.\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-29)*a*a**17 assuming a is positive.\nAnswer: a**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 130 and 23578646.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237779?\nAnswer: 17, 71, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 88, 79, 66, 49?\n\"Answer: -2*q**2 - 3*q + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v - 10. Let d be 2\/2*(-6 + 3). Let f be b(d). Suppose -3*g - 4*y = -f*g - 17, -2*y = -g - 13. Put -14, -2, g in ascending order.\nAnswer: -14, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w = 231168 + 13922. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.3 - 9.6. Let l = -0.01 - -2.01. Let m = 4 - 4.2. What is the second biggest value in m, n, l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/10)\/((-16)\/40)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 n when three letters picked without replacement from {n: 1, g: 3}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -348, -353, -358, -363?\n\"Answer: -5*q - 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 6*g**2 - 2*g + 8. Let l = 9 + -16. Let a be j(l). Let r = a + -51. Solve 6*p - 2*p = -r for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*k = -3*u + 6, 3*u - 6 = -3*k. Suppose -3*t + 5*l + 73 = k, 5*t - 3*l - 233 + 90 = 0. Calculate the remainder when t is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.3356 months to decades.\nAnswer: 0.36113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 p when two letters picked without replacement from rzzrpzrrrz?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005951 rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -221 + 221.5. Which is the closest to 2? (a) 5\/2 (b) k (c) -1\/2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 17*k**2 - 24*k + 401. Calculate b(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-14)*5312\/(-6). Let y = b + 190. Let t = -22 + 12. Are t and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4a6 + -4?\nAnswer: -4aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/((r**(2\/3)\/r)\/r))**30\/(r**8*r**(-8)\/r))\/((r\/(r*(r\/(r\/(r**4\/r)))\/r*r)*r**(6\/5))\/(r**(-4)\/r**6)) assuming r is positive.\nAnswer: r**(464\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*r + 132*r + 43027 = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 175.744l?\nAnswer: 175744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -24 + 14 + -22?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 29) + 24 + 9 + -43 + -2?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 75?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/11)*f*f*f)\/f)**(-1\/2)\/(f*f**9)**(-10\/7) assuming f is positive.\nAnswer: f**(2039\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10643 to the power of 1\/2, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134304863?\nAnswer: 7, 11, 19, 91801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -247269 - -2?\nAnswer: -247267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 8:34 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**0\/j*j\/j**(6\/7))\/(j**(1\/4)*j)**(-1\/33))\/((j*j*j**(-1\/3))**(-31\/4)*(j*j*j**(-2\/5))**(-47)) assuming j is positive.\nAnswer: j**(67219\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p = -3 - 85. Solve p*r = 5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7194 divide 817977966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -1 - 2*b - 3*b + 4*b. Let j be f(-1). Let z = -12 + 11. Is z at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1071 divided by -119\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/12)*c**(-3) assuming c is positive.\nAnswer: c**(-37\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 10) to base 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 202121222110200 (base 3) to base 2\nAnswer: 101001110100100001100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -9*s - 237*s**2 - 236*s**2 - 258*s**2 + 678*s**2. Let u(d) = d. Determine u(y(x)).\nAnswer: -53*x**2 - 9*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -488 - -853. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 218503535 and 1970.\nAnswer: 985","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 15, l: 3}. What is prob of picking 3 t?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a**(-7)\/a))*a\/a**(3\/2)*a)\/(a*a**(-1\/5)*a*a\/(a**(-2)\/a)*a)*(a**(3\/13)*a**9)**36 assuming a is positive.\nAnswer: a**(41341\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 533 + -533.1. Let o be ((-2)\/14)\/(6\/4). Is x smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -7*l**2 + 31*l - 5. Let c(g) = -3*g**2 + 16*g - 2. Let f = 14620 + -14625. Give f*c(s) + 2*d(s).\nAnswer: s**2 - 18*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(1\/2)\/o*o)**(-18)*((o\/o**(2\/7))\/o)**(1\/11))**39 assuming o is positive.\nAnswer: o**(-81159\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -89618*d*j**5 - 7*d*j**2 - 3408*d wrt j?\nAnswer: -5377080*d*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 29 = t, -32*d = -35*d + 4*t + 22 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t + 2*t - 7*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4126 and -201436981?\nAnswer: 201441107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*z - 5*d + 73, 0 = -3*z - d + 60. Solve z*v + 43 - 62 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(60\/16))\/(13112\/(-1490)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13493, -53968, -121427, -215870, -337297, -485708?\nAnswer: -661103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207958 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + a = 24. Suppose 2*l - 3*c + a = 0, -2*l + 3*c - 6 = l. Solve -f + 0 = -t + 2, 6 = 3*t + l*f for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7165.582 years?\nAnswer: 716.5582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3.16339*-101\nAnswer: 319.50239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + (-3)\/(-9) + 2 + 0 + -6. Which is the fourth biggest value? (a) -1 (b) -3 (c) -0.1 (d) 1\/6 (e) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21.25 - -21. Let v = q - 8.75. Sort v, 2\/11, -4 in descending order.\nAnswer: 2\/11, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -6*h + 8. Suppose -4*v - 4*w = -0*v + 48, 0 = -h*v - 4*w - 24. Is -12 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 54514808?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 + 18 + 21 - 71 + 187*o**2 + 46*o**2.\nAnswer: 233*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.7 + 1.696. What is q rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -5, 0.09, -908\/7, -2\/5.\nAnswer: -908\/7, -5, -2\/5, -1\/3, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*l - 13*l - 5 + 4*l**3 + 20*l + 1 to the form p*l**3 + b*l + i + q*l**2 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*o**3 - o**3 + 4*o**3 + (-3*o - o + 2*o)*(0*o - 2*o**2 + 0*o) + o**3 - 3*o + 3*o - 110*o**3 + 215*o**3 + 526*o**3.\nAnswer: 634*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 5*d - 3*p = -211, -d = -p - 39. Let w(t) = -t + 3*t**2 + 11 + t - 4*t**2 - t. Calculate the remainder when d is divided by w(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 9*z**2 + 337*z + 1747. Let p(q) = 3*q**2 + 114*q + 582. Let w(i) = 17*p(i) - 6*t(i). Let w(f) = 0. Calculate f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -9 (b) -5 (c) -28\/43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1037?\nAnswer: 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + -11 - 2 - (-1 - (8 - 1))) + -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 39, -4 in decreasing order.\nAnswer: 39, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**5\/9 + 1412*s**4\/9 + 21554*s**3\/9 + 55084*s**2\/9 - 23072*s = 0?\nAnswer: -9, -8, 0, 2, 721","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1045 is divided by 399?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 503 - 485. Suppose -224 = -5*v + d*n, -11*n + 9*n = -3*v + 135. What is the highest common factor of 43 and v?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q**5\/4 - 9933*q**4 + 1022847*q**3\/4 + 59583*q**2\/2 - 747303*q - 511446 = 0. What is q?\nAnswer: -1, 2, 26, 13114\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -18. Let o = d - -125\/7. Which is the biggest value? (a) o (b) 0.4 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.05 rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 121684 - 121684.108086. Let d = 205 + -204.892. Let j = u + d. Round j to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 17, 0 in descending order.\nAnswer: 17, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 744.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/2 of a week?\nAnswer: 85680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1291.8 - -62022\nAnswer: 60730.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -51404 - -51405. Let i = -2.9 - -3. Let g = -3.5 - -4. Which is the closest to y? (a) g (b) i (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - d. Let p be v(3). Let w be ((-2)\/1)\/(p\/9). Let y = 12 + w. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*a**2*n**2*r**2 + a**2*r**3 + 86*a*n**3*r**3 - 5*a*n**3*r**2 - 5*a*r**2 wrt r?\nAnswer: 6*a**2 + 516*a*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqiyqpqipibiqup. Give prob of picking 1 u and 1 p.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88 = 8*l, 11*b + 0*l = 14*b - l + 8 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 11870?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*s - 2*s - 2*s)*(-2*s + 4 - 4).\nAnswer: 32*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 763 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 5*c**2 + 6*c**2 + 3 in the form r + i*c + m*c**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 8 = 8. Suppose l*q - 17*q + 42 = 0. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nsmsbbbvbbbbgmvsm. What is prob of picking 3 s?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 6:46 AM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -179 by -1.\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 n when four letters picked without replacement from {h: 3, n: 5}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**3 + 7*x**3 - x**3)*(5*x + 0*x - 3*x + (49*x - 21*x - 20*x)*(4 - 3 + 0)).\nAnswer: 40*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53397 is divided by 1722.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -5*m**3 - 7*m. Let q(l) = 2*l**3 + 3*l. Let t(y) = -4 - 4*y + 1 + 0*y - y. Let f be t(-2). Let x = 9 - 6. Determine f*q(s) + x*p(s).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z**2 + 28*z - 20. Let x be v(-8). Let m be (-6 + 70\/x)*-1. Put -3\/8, m, 4, 3\/2 in increasing order.\nAnswer: -3\/8, m, 3\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7251037 is divided by 258963?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.735 (b) -64 (c) 3\/7 (d) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(5) + 0)**2 + (sqrt(50)*-3 - sqrt(50))\/sqrt(10).\nAnswer: -10 - 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 2:12 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1524432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -11, 15, 7, 0.5?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -4*g, 5 - 1 = 3*g + t. Factor 0 + 2\/7*x**g + 4\/7*x.\nAnswer: 2*x*(x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 431 = -505. Suppose -65 = p + 4*a - k, -4*a - 587 = -3*p. Does p = 191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a hour in minutes?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of 0*j**2 - 4\/3*j**3 - 3*j - 49. Let c(m) = -m**2 + m. Give 8*c(n) + d(n).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 6*r - 3. Suppose 7 = -5*t + 2*o - r, 0 = 2*o + 2. Let b be t\/13 + (-1242)\/(-299). Solve -b*i = 3 + 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 1. Let i = -185 - -186. Let l be ((-60)\/35)\/(i + 18\/(-14)). What is the highest common factor of z and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38774 by 38774.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/7 - (1 + -3). Factor -8\/3*b**i + 4\/3 + 14\/3*b.\nAnswer: -2*(b - 2)*(4*b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*c + 13. Let n = c + 6. What is the first derivative of -3 + 1 + 5 + 5*s - n wrt s?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 166*h. Let i(w) = -2*w**2. Calculate i(d(l)).\nAnswer: -55112*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -l + 24. Put 3, 8, l, -1 in descending order.\nAnswer: 8, 3, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + y = 15. Suppose 3*s - 104 = y*g + g, 2*g = -s + 28. What is the highest common divisor of 48 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1642*f - 1638*f = 5*k + 291, -65*k - 3*f = 3838 for k.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3450, -3459, -3500, -3591, -3750, -3995?\n\"Answer: -3*q**3 + 2*q**2 + 6*q - 3455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000009454831 to 7 decimal places.\nAnswer: 0.0000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a0b - -348365?\nAnswer: 349174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 206539400 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11760949, 11760960, 11760985, 11761030, 11761101?\n\"Answer: p**3 + p**2 + p + 11760946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 8*g**2 + 8*g + 12. Let w be t(6). Is (-5390)\/w + (-6)\/(-36)*-1 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((136\/16)\/(-17)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18407160571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 m when three letters picked without replacement from {m: 3, s: 2, r: 4}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, m: 2}. Give prob of sequence mhh.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 + 43 - 211*x**3 + 187*x.\nAnswer: -211*x**3 + 187*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 155255 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 32\/19, -96, 16, -3, -4 in decreasing order.\nAnswer: 16, 32\/19, -0.4, -3, -4, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/12 + 11\/3. Let x(s) = -7*s + 5. Let d be x(-5). Suppose -5*y + d = h, -h = -0*y - 5*y + 40. Put 2, m, y in descending order.\nAnswer: y, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80\/(-22)*18*(-262)\/2620*(-2)\/3\nAnswer: -48\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -5*g**4 - 72*g**3 - 93*g**2 - 26*g = 0.\nAnswer: -13, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**2\/7 + 962942*x\/7 + 1925892\/7 = 0.\nAnswer: -2, 481473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 25. Which is bigger: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -58465173 * 0.3.\nAnswer: -17539551.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6 + (10 - 6\/2). What is the nearest to 1 in -5, 15, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/(c*c**(2\/11))*c))\/(c*(c\/(c*c**(-1\/17)))\/c))\/(c\/(c\/c**0*c*c)*c*c\/(c\/(c*c*c**(-13)*c*c))))**(8\/9) assuming c is positive.\nAnswer: c**(5048\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j + 0*j + 2*j)*(-20 + 20 - 9*j).\nAnswer: 27*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 450841 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (29 - 23) + (-4 - (-3 + 4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/17, -4\/7, 9\/8, -4, 26?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2291*y - 1129*y - 1280*y = -10974 for y.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -508, -535, -578, -637, -712, -803, -910?\nAnswer: -1033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(4\/3))**(2\/73)\/(b**(2\/7)\/b*b*b*b\/(b*b**(-20))) assuming b is positive.\nAnswer: b**(-32575\/1533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 15*m**2 + 3*m - 16. Let h be s(-15). Let y = 29 + h. Let i(t) = -3*t - 71. Let k be i(-13). Is y not equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -140 smaller than -6329.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 9:44 AM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.484334 and 93492.7.\nAnswer: 93493.184334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (-2 - 6) + 17 + -39.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178 - 48 - 52 - 56 - 22 + a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 2*j - 3*z + 12, -5*z = 4*j - 20. Let d(g) = 3*g + 24. Does 6 divide d(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.4 - 1.1. Let u(x) = x**3 - 6*x**2 - 7*x - 3. Let j be u(7). Let h be (j\/(-3))\/((-1)\/3). Put 3, n, h in descending order.\nAnswer: 3, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3648 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*m + 5 = 0, 2*m = 2*q + 6*m - 8. Let w be q\/2 + 0\/8. Is w + 1 + (-226)\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 < 511\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 360 and 443160?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105 = 5*i + 5*k + 75, -2*i + k = -6 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(78)*2 - sqrt(78)) + (2*sqrt(78) + sqrt(78))*-1)\/(sqrt(54)\/(-2*sqrt(9)) + -2*sqrt(6)*-1).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8707, -17400, -26079, -34738, -43371, -51972, -60535, -69054?\n\"Answer: t**3 + t**2 - 8703*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121124424 (base 6) to base 9.\nAnswer: 4281557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/119 + (-32)\/112?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1425*d - 3029*d - 7753 = 4820 + 58003 for d.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 r when two letters picked without replacement from riirrrrrir.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2757 = -101*j + 530 - 5711 for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 699285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19173*n - 19028*n - 6380 for n.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*j + 31 + 6*j + 44)*(1 - 2 + 3) in the form o*j + t and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 39 + 74195\/(-1900) + (-386)\/280\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b + 1. What is the lowest common multiple of d(-2) and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/28 of a week?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9\/10 of a century?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1688930 divided by -2\nAnswer: 844465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v - 4 - 1 + 2*v. Let b(m) = -35*m + 1370. Let c be b(39). Give s(c).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*j + 137*j = 852 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -5*i**2. Let a(s) be the second derivative of s**6\/180 + s**3\/2 + s. Let x(g) be the second derivative of a(g). Determine x(f(z)).\nAnswer: 50*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 - -11000000010000111110?\nAnswer: 11000000010001000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.004, 4, -155?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (644 - 690 - (-39 - 0))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1076570090 to the nearest one million.\nAnswer: 1077000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g**2 + 26*g - 24*g - 1 - 1 + (2*g + 3*g - 4*g)*(12*g - 6*g + 8*g) in the form r*g + v*g**2 + o and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 949*a = 1015*a. Solve s + 2*o + 1 = -a*s, -5*o = 5*s + 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75816 divided by -6\nAnswer: 12636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52164 divided by -108.\nAnswer: -483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 5*z, -45 = -f - 5*z - 17. Sort f, -1675, -1 in decreasing order.\nAnswer: -1, f, -1675","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7296\/(-120))\/(-19)*(-255)\/51.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 - 18\/(-45)*-16. What is the nearest to 0 in 3, x, -0.3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1056888230 a multiple of 2138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12972849?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26056*m**3 + 26068*m**3 + 26057*m**3 - 78184*m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23 and 667?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 81.4 (b) -1\/36 (c) -0.4 (d) 3 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7*((-18)\/14 - -1). Suppose i*w = -2*w + 20. What is the highest common factor of 2 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n - 3. Suppose -y + 0*y + 25 = -5*w, 3*y = -w + 11. Let d(f) = 6*f + 9 + y + 3. What is -6*d(t) - 34*m(t)?\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 272 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of m**4\/4 + 11*m**3\/3 + 9*m**2\/2 + 12*m + 3. Is k(-10) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1966, -2038, -2110, -2182?\n\"Answer: -72*u - 1894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 181*c**2 - 19*c - 3477. Give v(-181).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k - 2. Let y(b) be the first derivative of 8*b**2 + 11*b - 3. Let z(h) = -22*a(h) - 4*y(h). Let p(r) = 5*r. Give z(p(u)).\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 p when two letters picked without replacement from dpdddpddpppdp.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 (base 9) in base 15?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 1966661*r + 7. Let f(g) = 1966660*g + 8. Let q(i) = -5*f(i) + 6*h(i). Let o be q(3). Round o to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttnytnnnttututyuu. What is prob of picking 4 t?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -248*w**2. Let y(l) = 95*l. Determine c(y(n)).\nAnswer: -2238200*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02556 minus 1612358952?\nAnswer: -1612358952.02556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (6 - 2 - 9) + 6 + (2 - -47).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 12:33 PM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 2639940?\nAnswer: -1055976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 34*o**2. Let d(r) = -3*r**2 - 5*r + 5. Let v(l) = l**2 + 3*l - 3. Let g(f) = -3*d(f) - 5*v(f). Give j(g(q)).\nAnswer: 544*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207*c = -256*c + 191443. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -46239?\nAnswer: -46235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 477 = -3*q, -s + 5*q + 194 = -267. Suppose 0 = -4*t + 4*x + 2000 + 780, 5*t - x = 3471. Let p = t - s. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)*1*-5)\/(1*sqrt(200)).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 - -10421204?\nAnswer: 10421153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1515631 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -67 - -52. What is the tens digit of (-8)\/(-12) + (-170)\/w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 31. Let w be (-14 - 0)*(10 - 9). Let b = p - w. Is 8 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*((-42)\/(-15) - 2). Let b be (10\/t)\/((-1)\/(-2)). Suppose 0*x = 2*x + b*i - 21, i = -x + 12. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (4 - -4) + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -540*l*t**2*z**2 + 13*t**2*z**2 + 9*t**2*z with respect to l.\nAnswer: -540*t**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-8)*(-680)\/(-25500).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r + 212 = -27*r - 206 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 601160?\nAnswer: 2, 5, 7, 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1081314, 1081254, 1081194, 1081134, 1081074, 1081014?\n\"Answer: -60*m + 1081374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.9456 to 2 decimal places.\nAnswer: 7.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g + 9. Let a be j(4). Suppose 9 = -a*s + 2*s. Put 5, s, -4 in decreasing order.\nAnswer: 5, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvcc when four letters picked without replacement from {c: 1, b: 2, w: 8, v: 7}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 42 = -7*f. Let t = 15845 + -15837. Solve -f = t*o + 11 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 11:04 AM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4410437455 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1833 + -1087. What are the prime factors of w?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 72759.05ms?\nAnswer: 72759050000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/2, -2.4, 2 in increasing order.\nAnswer: -4, -2.4, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 b when two letters picked without replacement from ebbt?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2222212102110 + -10100?\nAnswer: -2222212112210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 0.5, 3, -0.234, -1\/5 in descending order.\nAnswer: 3, 0.5, -0.06, -1\/5, -0.234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2)*(-640)\/1728)\/((-1)\/6).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 868738969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 + 205364*l + 40505256.\nAnswer: 4*(l + 198)*(l + 51143)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of i**8\/320 - i**7\/168 - i**6\/120 - i**4\/3 + 8*i. Let v(c) be the third derivative of y(c). Determine q so that v(q) = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 17*r**2 + 3*r**4 - 11*r**2 - 7*r**4 + r**5 + 21461*r**3 - 3*r - 2*r**2 - 21459*r**3 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-3 + -4 + (sqrt(40)\/sqrt(2))\/sqrt(10) + 3)*3)**2.\nAnswer: -2592*sqrt(2) + 5832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 2*f**3 - f + 4 - 2*f**3 + 6*f**3 as a + l*f + d*f**2 + q*f**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of c**6\/360 - 4*c**3\/3 - 4. Let s(d) be the third derivative of l(d). Let h(p) = 6*p**2. Determine s(h(z)).\nAnswer: 36*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*d - 50*d - 50*d to i*d + s and give i.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/49)\/(52\/8190*45).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + h - 28 = 0. Let m be (5\/20)\/(h\/8). Let c be 3*(-3)\/(-9)*1. Is m greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 o when two letters picked without replacement from dddtddkdotdkddddokdj?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -8.17, -7 in descending order.\nAnswer: -1\/3, -7, -8.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 261 = 2*o - 537, 0 = -4*o - b + 1586. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-4))\/((-18)\/(-6))?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 1:31 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + (sqrt(75) - (sqrt(75) + -1 + sqrt(75))) + 4)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3.5, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -14\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -5*((6*-2*sqrt(187) + 1*sqrt(187)*2 + sqrt(187))\/(sqrt(1584) + (sqrt(1584) - (-2*sqrt(1584) - sqrt(1584))) - 1*(sqrt(176) + sqrt(11))) + -2))**2.\nAnswer: 234*sqrt(17)\/11 + 21826\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 5*g - 22 = 2, -8*v + 5*v = 4*g - 2*g + 21 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 1 - f - 4 + (-22 + 24 - 20)*(-79*f + f - 55*f) to the form b + m*f and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1598574 less than -1598568?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w**8*w)\/w)*w*w)\/w**(-5))\/(w\/(w*w**0)*w*w)**(-2\/25)*(w**0)**50*w**(-1\/6)*w*(w*w**1*w*w)\/w assuming w is positive.\nAnswer: w**(599\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sb when two letters picked without replacement from {b: 2, z: 4, s: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23*(-272)\/(-10948)*15\/(-4))\/(6\/322)?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003246331 to five decimal places.\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3888*q**2 - 636120*q - 26019075 = 0. Calculate q.\nAnswer: -2945\/36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -4, -60, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 439, -4, -64 in descending order.\nAnswer: 439, -4, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 818*j + 111 wrt j?\nAnswer: 818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1197 by 9.\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 30?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 6) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-56)*(-4 - (-21 - -13)). What is the nearest to 3 in 1\/9, g, 3\/2, 2\/3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11027159.\nAnswer: 11, 13, 59, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 o when three letters picked without replacement from jjojjjjoooojojoojoo?\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12.9 - 0.1. Let i = 16723 - 16710.0004. Let t = i + a. Round t to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or 2.7?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2 - 0)*584\/(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -3.096. What is j rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 66 or -3626?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22 and 14.1.\nAnswer: -310.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yftystttsy. Give prob of picking 3 y and 1 f.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-741)\/(626886\/(-1128))*(-2)\/(-304)?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of 0*d**2 - 11*d + 1\/6*d**3 + 0. Let n(x) = -2*x**2 + 0*x**2 + x**2. What is n(a(r))?\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*((-2)\/(-10) + (-22)\/385). Let r = 8.88 - 9.08. What is the smallest value in -2\/9, r, b, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0378? (a) -2 (b) -496966 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1060644.\nAnswer: 2, 3, 13, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(152)*-2)\/(sqrt(8)*-1*5) - (4 + -2 + sqrt(931) + 2*sqrt(931))) + 3.\nAnswer: -111*sqrt(19)\/5 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -280 (base 10) to base 8\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaumuauzzz. What is prob of picking 1 z and 1 a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 2*k + 3 + k + 5 - 2*k - 5 + (0 + 2 - 1)*(-2*k + 3*k - 3*k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34e (base 15) to base 16.\nAnswer: 2ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 4*v - 42. Suppose n + 25 = -5*t, v*n - n = 5*t + 25. Solve -z - 5 = -n*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -114 + 120. Let y(k) = 3 + k**3 + 8*k + 6*k**2 - 5*k**3 + 3*k**3. What are the prime factors of y(l)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34660296 = -68*v + 34655332 for v.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-5*1771\/(-575))\/(2\/(-5))).\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29.22 - -31.22. Let o = 4 + -6. Let r = -1.7 - o. What is the second biggest value in i, r, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w**3 - 4*w**2 - w + 3. Let x be j(-3). Suppose 17*i + x = 20*i. What is the lowest common multiple of 8 and i?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137740059 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + c - 3, 4*v + 3*c = 4 + 5. Suppose -2*s + 2 + 8 = v. Let i(u) = 2. Let m(n) = n + 4 + 7 - 5. Calculate s*i(p) - 2*m(p).\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25845 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 2:29 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 + 768*o + 3040.\nAnswer: 2*(o + 4)*(o + 380)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 82*u - 10. Is 11 a factor of f(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -248849\/26 + 9573. Let h = 13 - 38\/3. Let l = -131\/12 - h. Calculate the common denominator of d and l.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2*l - 1 = -19, -3*u - 3 = 5*l. Let f be 2\/(-4) + (-1)\/u. Let o = -57 + 281\/5. Which is the closest to f? (a) 1\/4 (b) 2\/9 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2303)\/(-987))\/((-2)\/12).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**2\/7 - 2814604*w\/7 - 990249459602\/7 = 0.\nAnswer: -703651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 830*b + 107062. Calculate v(-129).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11984.2 - 10887. Let v = 1168.192 - d. Let o = 71 - v. Round o to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 108, 168, 212, 234, 228, 188, 108?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 135454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 3:13 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9429 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2226 and 138330?\nAnswer: 968310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7d03 + -2?\nAnswer: 7d01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12 - 153?\nAnswer: -153.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 125.48 and 1269.89.\nAnswer: 1395.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 7*d + 9. Suppose -h = -6*h. Suppose h = -b - 0*b. Suppose b*v = 3*v + 4*o - 4, -16 = 3*v - o. Let t(r) = -3*r - 4. Give v*k(w) - 9*t(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2. Let j be (-12)\/(-9)*(2 + 1). Suppose -1 - 1 = -c. Let v(g) = -c*g + 4*g - j*g. Calculate v(k(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 7*s - 12*s**2 + 16*s**2 - s**3 + 2 - 12. Let w be r(5). Is 319 - (w\/2)\/(-3 - -5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, 59, 142, 237, 338, 439?\nAnswer: 534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 102?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -113514?\nAnswer: 113513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 2*c + 213 = 128, c - 2 - 32 = -2*f for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**26\/(n\/n**(-5\/3))*(n*n**1)\/n**(-7\/2) assuming n is positive.\nAnswer: n**(173\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - h - h)*(-1 + 8*h**4 - 535*h + h**2 + 535*h).\nAnswer: 8*h**5 + h**3 - h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.074 - -2.926. What is the third biggest value in -3, -0.5, t, 1\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 378267705?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/29*-2 + 1079097\/46777.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 10 = 3*r. Suppose -2*n - 3*v = r*n - 24, 0 = 4*n + 5*v - 27. Calculate the smallest common multiple of n and 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 27c04a5 + 4?\nAnswer: 27c04a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*l + 67*l + 1104 - 4384 for l.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -3, -4, 1 in increasing order.\nAnswer: -4, -3, -0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 75 - 8*s**3 + 28*s**4 - 75.\nAnswer: 4*s**3*(7*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -247, -2063, -7207, -17413, -34415, -59947, -95743?\n\"Answer: -289*s**3 + 70*s**2 - 3*s - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5 = -4*q, -5*f = -3*q - 5 - 7. Let g(s) = 3*s - 1. Let l be g(q). Solve 0 = -l*h + 4*j - 2, 0 = h + 3*h + 3*j + 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - 880\/(-70) - (-8)\/(-14). Let a be 29\/(-145) + 3\/o*44. Let x = 31 - 18. Calculate the highest common divisor of a and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -i**5\/4 - 2*i**4\/3 - 4*i**3\/3 - 2*i. Let o(u) = u**3 - 2*u + u**3 - 2*u**2 + 2*u**3 - 5*u**3. Calculate -2*b(k) + 9*o(k).\nAnswer: k**3 - 2*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 1 (b) 9 (c) -5 (d) 43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5118 + 5120. Suppose 2*z + 2 = -p, -2*p + z + 1 = p. Solve 0 = -3*i + 4*f + 7 - 18, p = -h*i - 2*f + 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 20*l**2 - 26*l + 151. Let f be j(19). Suppose 0 = -5*q + 66 + 474. Calculate the highest common factor of q and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 v when two letters picked without replacement from {n: 3, s: 2, j: 2, e: 2, v: 4, g: 2}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 14*f + 24. Let g = 3.2 - 3. Let c = g + -0.1. Sort f, 0.2, c in descending order.\nAnswer: 0.2, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1197 and 279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -10) + -3 + 1 + -10?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b + 23*j - 25*j - 152 = 0, 3*b + 2*j + 0*j - 57 = 0 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3537 divided by -543?\nAnswer: -1179\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -14*v - 137. Calculate y(-12).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 49597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-18)*i\/i**(-5\/9)*(i*i\/(i**(-9)\/i))\/i**4 assuming i is positive.\nAnswer: i**(-67\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + h**2)*(9 + 5*h - 9) + 4*h**3 + 3*h**3 - 5*h**3.\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -w**5\/120 - w**4\/12 - w**3\/6 + 2*w**2. Let s(f) be the first derivative of u(f). What is the derivative of s(z) wrt z?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 27\/(-8) + (-6)\/(-2). Sort h, 2, 1.\nAnswer: h, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -2*u - 9. Suppose -u = -d - 3*d. Calculate the common denominator of -45\/14 and 29\/(-2) - d\/(-16).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -10*l**2 + 45*l - 12. Let a(v) = 42*v**2 - 189*v + 48. What is -2*a(z) - 9*r(z)?\nAnswer: 6*z**2 - 27*z + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -118*v - 3796. Calculate y(-31).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 13221, 52796, 118759, 211110, 329849, 474976?\n\"Answer: 13194*p**2 - 7*p + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h + 1. Let l be t(2). Suppose p - 76 = -l*p. What are the prime factors of p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 190, 1, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 + -83 + (175 - 0\/(-1)) is divided by 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 426500 to the nearest 10000.\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-1243.\nAnswer: -7458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i + 7*i + 8*i + (165 - 165 + 10*i)*(3 + 1 - 2))*(19 - 41 + 33) as g + m*i and give m.\nAnswer: 363","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 716 a factor of 504780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 955?\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0721313218 rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 1129*i**2 + 441439*i + 47. Calculate m(-391).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-2\/19)\/w)**38 assuming w is positive.\nAnswer: w**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2229 - 2214. Solve m = 15*r + 90 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 133, 3, -4 in decreasing order.\nAnswer: 133, 3, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1196635440 by 528.\nAnswer: -2266355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -221 - -224. Suppose -5*o - 19 = -5*z - 14, 0 = -4*o + d*z + 1. What is the closest to -2 in 5, 25, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a century?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34953062311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -55717567*k**2 + 297045818*k.\nAnswer: -111435134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 45230 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3845*c + 1168*c - 5011*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.020761 rounded to four dps?\nAnswer: 0.0208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2514016 * 0.64\nAnswer: 1608970.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 348*j = 101*j - 179*j + 7964496. What are the prime factors of j?\nAnswer: 2, 3, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2532 - 2469 - (20 - -4).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1741 - 747. What is the remainder when u is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1485617 + 1485621.0000064. Let m = r + -4. What is m rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 312\/65*520\/312.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 + -15. Let s = -21 - v. Calculate the remainder when 100 is divided by s.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x - 5*t + 14518 = 14*x, t = 5*x - 36268. What is the least common multiple of x and 12?\nAnswer: 14508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 0*t - 7*t**3 - t**3 - 6*t + 65 + 4*t as h*t + k + u*t**2 + o*t**3 and give k.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w**2 - 6 + 3 - w**2 + 16 + 19*w. Let o be d(-12). Suppose -o = -4*m - 17. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of g**7\/980 - g**6\/210 - g**5\/140 + g**4\/14 - 29*g**3\/6 + 8*g**2 + 6. Let o(p) be the first derivative of x(p). Factor o(a).\nAnswer: 6*(a - 2)*(a - 1)*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -470 + 495. What is the greatest common divisor of 625 and b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 10 = 3*z, 5*z + 5*g = 12 - 2. Which is smaller: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4445 is divided by 4321.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*v - 43*v - 57*v + v.\nAnswer: -80*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*l + 10 - 33 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/((-1)\/2))\/2. Let q = -89 - -89.3. What is the smallest value in q, m, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 21704132, 21704135, 21704138, 21704141?\n\"Answer: 3*l + 21704129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 276 and 2362836.\nAnswer: 2362836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 1:34 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 842 - 1458. Find the common denominator of 7\/6 and j\/363*3\/(-6).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w + 78 - 64 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-48)\/792 + (-10298)\/(-33). Let s = 317 - t. Solve 2*o - 4 = 0, -h + 2*h + 2*o = s for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*m**4 + 126*m**3 + 240*m**2 - 8*m = 0. Calculate m.\nAnswer: -1, 0, 2\/61, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/9 and 91\/271914?\nAnswer: 815742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-3) + 1*100. Suppose 2*d + q = -561. Let x = -1642\/5 - d. Find the common denominator of x and -37\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*f**4 - 57*f**4 + 36*f**4 + 2*f**5 + (-3 + 3 + 3*f**2)*(-2*f**3 + 2*f**3 - 2*f**3).\nAnswer: -4*f**5 + 7*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/441 and 121\/2736.\nAnswer: 134064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 11*v**2 - 2*v - 19. Let h be r(-11). Suppose -h*u = 5*a - 5, 5*u + 5 = a + 4. Solve p = -2 + a for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (122\/4)\/(12\/24). Let n = -28 + p. List the prime factors of n.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.007 - 3. Let m = h + 1.993. What is the third biggest value in -1\/2, -3\/4, m, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eulb when four letters picked without replacement from ueqlubli?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -0.69.\nAnswer: -2.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 323 + -303. Suppose -12*n = -d - 28. Solve 0 = n*z - 4, 4*z = 2*i - 6 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -15 (b) 1 (c) 77.9 (d) 10 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -167272 divided by 206?\nAnswer: -812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4128 - -4132. Solve -2*n - 3*m = 0, n + 5*m = b*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2974727, -2974731, -2974737, -2974745, -2974755, -2974767, -2974781?\n\"Answer: -o**2 - o - 2974725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is ca - -40?\nAnswer: 12a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64)\/96*6\/(-14)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 12\/(-8)*16\/(-12). Let h(g) = -g**3 - 7*g + 7. Let z be h(s). Let c(x) = -5*x**3 + x**2 - 1. Determine c(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/7360 and 37\/2944?\nAnswer: 14720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 10 - 20 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 - 32. Which is the closest to -9? (a) 0.3 (b) -2\/9 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -595131.53 rounded to the nearest 10000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 1 - 8 + 170*z + 5 + 3 to o*z + u and give o.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23982985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3403 and 196226?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 3*a - 11. What is r(0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of 0*l**5 + 0*l**6 - 1\/4*l**8 + 0*l**3 + 0 + 0*l**7 + 0*l**2 + 1\/6*l**4 - 10*l. What is the third derivative of x(p) wrt p?\nAnswer: -1680*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**2\/2 - 7404*a - 14811\/2 = 0. What is a?\nAnswer: -1, 4937","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7474431163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46159146?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2285 divided by -96399\nAnswer: 2285\/96399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 15 = 0, -v + 4*d = -d + 43. Is (-2 - v)\/4 - -629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) 77 (c) -1\/4937\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-54))\/((-15)\/(-121 + -14))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-631)\/60 + -2 + 20*(-47)\/(-3525).\nAnswer: -49\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 26 - (-7)\/((-28)\/4). Let o(z) = -4*z + r*z - 9*z - 7*z - 8*z. Let q(w) be the second derivative of -w**4\/2 + 2*w. Give q(o(t)).\nAnswer: -54*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -34580, -276696, -933866, -2213618, -4323480, -7470980, -11863646?\n\"Answer: -34588*h**3 + h**2 - 3*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 25 (c) 2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(95) + (sqrt(95) + sqrt(95) + sqrt(95)*4 + sqrt(95))*-1 - sqrt(95)))\/((-4*(sqrt(40) - sqrt(640)))\/sqrt(8)).\nAnswer: 7*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 4*o - o + 5*o + 11*o in the form h*o + v and give h.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 5*j + 5. Let y(k) = k + 15*k**3 - 29*k**3 + 0*k. Let n be y(-1). Let a(g) = 11*g + 11. Determine n*w(v) - 6*a(v).\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-360)\/(-400)*-6)\/(((-10)\/25)\/(-2)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 19019950?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 159080161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 6*d**2 + d - 6. Let i be n(6). Let h = i - -16. What is the lowest common multiple of 12 and h?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251576583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1496273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1003, -1041, -1105, -1195?\nAnswer: -1311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/385 in -1\/3, -1, 0.4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 85 - 10. Suppose -5*j + 580 = 4*p, 236 = 3*j - 5*p - h. Suppose 58 = -128*l + 1850. Calculate the greatest common factor of j and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**3 + 7*g**2 + 2*g + 12. Let i be d(4). Determine r so that 66\/5*r**2 - 6*r + 6\/5*r**i + 0 - 42\/5*r**3 = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1090, -3957, -4?\nAnswer: 1090","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 6:10 PM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llolllllollooollol. Give prob of sequence olll.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + (21 + -32 + 11 - -6).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 5 (b) -5\/7 (c) 4 (d) 4.7 (e) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 7*w + 2228. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1)\/2 + 420\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -5*z - 0*u + 60, 0 = -4*u. What is the remainder when 23 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -15, 2\/19, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3108575 - 57*f - 56*f - 3108576 + (1 - 1 - 1)*(3*f - 5*f - f) + f + 2*f - 2*f in the form z + v*f and give v.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 3\/(-3))\/1. Let j(x) = -2 + x**3 + 7*x - 6*x**2 - x**m + 2*x - 2. List the prime factors of j(6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*l**2 - 5*l**2 + 24*l**2 - 18*l - 2)*(170 - 92 + 151) to j*l**2 + x*l + p and give p.\nAnswer: -458","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97185 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 65236230 to the power of 1\/2, to the nearest integer?\nAnswer: 8077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.48 + 5.78. Let p = f + -5.1. What is the closest to -0.1 in 2, p, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -24.4 and -26.81161715.\nAnswer: -51.21161715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(-2))\/(-3))\/(20\/30)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155 = 21*k - 52*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) -2 (b) 1\/2 (c) 1.8 (d) 0.4 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 17233, 17232, 17231, 17230?\n\"Answer: -n + 17234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 4:07 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fw when two letters picked without replacement from uuwqfgfj.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/189 and 65\/231.\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000525526 rounded to 6 dps?\nAnswer: 0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 912830815?\nAnswer: 5, 13, 1321, 10631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 391422*d**2 - 2*d + 4612 wrt d.\nAnswer: 782844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/9 (b) -1 (c) 7 (d) -63\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2768*j + 48. Let m be b(11). What is m rounded to the nearest one thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9623 + -9610. What is the highest common divisor of p and 8177?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/46 - 89\/138. Let u = -3 + 2.99. Let c = 0 + u. Is c > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 6:56 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33314534 + -2?\nAnswer: -33314540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 74 - 70. Which is the closest to -0.2? (a) -1.1 (b) o (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-78)\/39*1\/2*1908\/212.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, s: 7, g: 3, k: 5}. Give prob of picking 1 o and 2 g.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1032 + 1193. Calculate the remainder when q is divided by 30.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 9*z + 2*u = 18, 0 = -2*z + u - 1. Solve -l + 1 = z for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -193*b**2*x**3 + 174*b**2*x - 65*x**3 - 21*x + 81 wrt b.\nAnswer: -386*b*x**3 + 348*b*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1\/2)\/((-50)\/1010) and 2\/1 - (-135)\/12.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 644 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 1:21 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**2 + 19*k. Let u(o) = o**2 - 10*o. Let q(r) = -3*g(r) - 5*u(r). Let c be q(7). Let b = -2 - -6. Solve c*p + b = 4*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a kilogram in grams?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7040.552 millennia?\nAnswer: 84486624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7725 - -10997. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**3 + 11*i**2 - i - 1. Let y(b) = -3*b**3 - 22*b**2 + 2*b + 3. Let u(p) = 5*n(p) + 3*y(p). Is u(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -408*(6\/(-4) - (-20)\/20) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/84*7\/3. Let p = 196.9 + -200.9. Put -0.3, p, c, 3 in descending order.\nAnswer: 3, c, -0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -146*z**2 + z - 468.\nAnswer: -292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w + 29. Let o be j(10). Let s(q) = 36*q**2 + 3*q + 2. Does 7 divide s(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133995494 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - 9 + 60*f + 13 + 10*f in the form r*f + n and give r.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-43)\/c*c**20)\/((c*c*c**(4\/23))\/c)**39 assuming c is positive.\nAnswer: c**(-1605\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 254088 - 88422725\/348. Find the common denominator of c and -95\/6.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 2*x + 4284, 5*j - 2382 + 275 = x. Let k = 3541 + x. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/29931 and -45\/2703767.\nAnswer: 8111301","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owwb. Give prob of sequence ww.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 909 + -903. Let d be 1\/(-3)*-9 + 21. Calculate the highest common divisor of i and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 5 + -2 + (38 - 12) + -24?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**3 + 30*m**2 - 549*m + 8063. Calculate l(15).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5\/133 (b) -2\/405 (c) 2\/7 (d) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c = 4000 - 4737. What is the remainder when 266 is divided by c?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**6)**6 assuming h is positive.\nAnswer: h**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -786.8 and -0.027?\nAnswer: 786.773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*a**3 + 1 + (8*a**3 - 3*a**3 - 3*a**3)*(0 - 1 + 0) + 4 - 2*a**3 - 4 + 6*a**2 + 2*a**3 - 6*a**2)*(6*a - 2*a + a).\nAnswer: -20*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (31901 - 31901 - 1734*p)*(-3 - 7 + 4)*(-3 + 0 + 5) to m*p + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/6*(-2)\/14. Suppose 11*u + u = 24. Let w be (-40)\/10 - -1*u. Which is the second smallest value? (a) q (b) w (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffff when four letters picked without replacement from ffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -3*z + 81. Let u = 0 + 16. Let t = u + -8. What is the lowest common multiple of t and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 24*u - 1. Calculate n(23).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1564)\/184 - (1 + (20\/8 - 1))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllmmlllll. Give prob of picking 2 m and 1 l.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 38385.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, j: 9, e: 2, o: 3, q: 2, s: 1}. What is prob of sequence sqj?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -228 + 254. Suppose 0 = 40*k - i*k - 28. Solve 5*y + a - 22 = 0, 2*y - 2*a - 12 = -k*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12*13\/(-39) + -379996. Round g to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 - 54 = -4*l. Suppose 0*i = 2*i + f + 17, 0 = -5*i + l*f - 10. Are i and 5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 divided by -4?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 d when three letters picked without replacement from {h: 2, v: 2, d: 7, q: 4, z: 5}?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 29*o**2 + 16*o - 5. Let j be q(29). Let y = j - -1012. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48 + 64. Is t a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j**3 - 13*j**2 + 5*j + 21. Let w = -27 + 24. Let o(h) = 4*h**3 + 12*h**2 - 6*h - 22. Let a(t) = w*c(t) - 2*o(t). What is the tens digit of a(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (4 + -10 + 3 - -10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0399992 + -1.1.\nAnswer: -1.1399992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28*l**2 - 16*l**4 + 28*l**2 + (0 - l + 0)*(5*l**3 - 3*l**3 - l**3).\nAnswer: -17*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - 3*u + 2. Let y be g(-2). Let b(s) = 2*s. Let a(h) = h - h - h**2 + 3*h. Let z(j) = y*a(j) - 3*b(j). Find the second derivative of z(c) wrt c.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1320232 (base 4) to base 2.\nAnswer: 1111000101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 1)*(1 - 1 - 3*c)*(2*c - c + c).\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 633 - 633. Suppose w = -466*t + 465*t + 10903. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4348.\nAnswer: 2, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b - -d?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) -4 (b) -3\/4 (c) 0.049 (d) -2 (e) -75\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -2) + (2 - 3 - -4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22210111 (base 3) to base 5.\nAnswer: 201122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 7*v**3 - 7*v**2 - 5. Let s(g) = -3*g**3 + 3*g**2 + 2. Suppose -4*k = -145 - 135. Suppose 26*d + k = 33*d. Let o(j) = d*s(j) + 4*y(j). Factor o(c).\nAnswer: -2*c**2*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - v + 1. Let q(w) = 2*w**2 - 4*w - 12. Suppose -124*f - 212 = -71*f. What is f*h(b) + q(b)?\nAnswer: -2*b**2 - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -42*g**3 + 448*g**3 + 413*g**3 + (-1 - 2 + 1)*(0*g**3 - 3*g**3 + 2*g**3).\nAnswer: 821*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - p - 1. Let i(j) = 24*j**2 - 36*j - 36. Let y(b) = i(b) - 36*n(b). Let m(d) = -d**2. Give y(m(r)).\nAnswer: -12*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 2. Suppose -12*f - 56 = 22*f + 12. What is z(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 132 + -32. Suppose 14*r - i = 10*r. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 4*l**2 + 4*l + 3. Let g be n(-2). What is the smallest value in 4, g, -3\/7, -1\/5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309056549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*u**3 - 23*u**3 + 24*u**3.\nAnswer: 32*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03 - 17.\nAnswer: -17.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.69 - 0.64. Let d = 1 - -1. What is the third smallest value in 0, d, z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*13\/(-39)*15\/6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*i**2 + 6*i - 70*i**2 - 42*i**2 - 53*i**2.\nAnswer: 9*i**2 + 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8044, 8257, 8472, 8689, 8908, 9129, 9352?\n\"Answer: w**2 + 210*w + 7833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -147, 799, 1 in descending order.\nAnswer: 799, 1, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -126936 divided by 86.\nAnswer: -1476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 7598*w + 22793. Calculate p(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 315.26 smaller than -7329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h. Let b(f) = 256159*f - 2. What is p(b(c))?\nAnswer: -768477*c + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(605) - (sqrt(605) + 1 + sqrt(605))) + sqrt(605))**2 + 3 + (sqrt(605)*2 + sqrt(605))**2.\nAnswer: 5442","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -50 <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1593 - 1589. Sort 7, a, -0.5, -0.8, -0.05 in decreasing order.\nAnswer: 7, a, -0.05, -0.5, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21 of a week in seconds?\nAnswer: 57600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 9*d + 4. Let m be z(3). Suppose 0 = -r + m*u + 218, -975 = -5*r - 4*u + u. List the prime factors of r.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/u**(3\/7))\/u*u**(-3\/4)*u**3\/(u\/u**1))\/(u**(-1\/4)*u*u*u*(u**(-4\/7)*u)\/u*u)**30 assuming u is positive.\nAnswer: u**(-2591\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -0*w - 2*w + 96, -2*w + 4*p + 96 = 0. Let h be 4\/22 + w\/220. What is the nearest to h in -0.4, -5, -15?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 2*t**2 - t - 3. Let q be i(-1). Let z be (4\/(-1) + 4)*q. What is the remainder when 5 - ((3 - 17) + z) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1035, -2007, -2983, -3963, -4947?\n\"Answer: -2*i**2 - 966*i - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14276 or 99930\/7?\nAnswer: 99930\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 61.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1763*n**3*y + 254*n**3 + 4352*n**2*y + 65*n**2 wrt n?\nAnswer: 10578*y + 1524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -c - 1 + 5\/4*c**2 + 3\/4*c**3 = 0.\nAnswer: -2, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 13*m - 11. Let l be a(14). Let s be (-315)\/2*(-2)\/l. Calculate the highest common factor of s and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8910 divided by -405?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9065 a factor of 809321371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4a3 - 93?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1400)\/(-490) - (-8)\/7. Solve 5 = -3*d - 2*d, i*z - 5 = -3*d for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a*a**4*a\/(((a\/(a*a**(1\/4))*a)\/a)\/a))**(-2\/117)*((a**(2\/5)\/a)\/a)\/(a\/(a**3\/a))*(a*a**0*a)**15 assuming a is positive.\nAnswer: a**(34213\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.956 to one decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -6*k + 1. Let w = 151 - 149. Determine n(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(28)*2*-3)\/(sqrt(40)\/(3*sqrt(10))*-6).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 272661\/25982 - -75\/12991. Solve l*c**3 + 0 + 23\/2*c**4 + c - 15\/2*c**5 - 15\/2*c**2 = 0 for c.\nAnswer: -1, 0, 1\/5, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 24 = -2*o. Let j(q) = -q + 2. Let i be j(7). Let c = i - -17. What is the greatest common factor of c and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3719 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3*((1*sqrt(48) - (sqrt(12) - sqrt(132)\/(sqrt(11)*2))) + sqrt(36)\/((2*sqrt(3) + sqrt(3))*6)))**2.\nAnswer: -784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5901.\nAnswer: 3, 7, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.66014 rounded to 2 decimal places?\nAnswer: -0.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3000\/(-72) - -18) + 24. What is the nearest to -0.3 in 20\/3, 0.4, v, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 33*d**3 + 3962*d**2 + 232*d - 1099. Calculate z(-120).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*m + 134*m + 78 = 0. Let z(w) = -4*w + 17. Let k(c) = 5*c - 18. Let y(v) = -5*k(v) - 6*z(v). Calculate y(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.5, 32, -177 in increasing order.\nAnswer: -177, -2, -0.5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 8, -0.4, 2\/3.\nAnswer: -0.4, -1\/4, 2\/3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3 + 15163*a**2 + 1187277*a + 23181561.\nAnswer: -(a - 15241)*(a + 39)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 443*g = -439*g - 20, 18*z + 90 = 3*g for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-2448)\/(-84) + (8 + (-85)\/10)*22\/77\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**42*m**20\/m*(m\/(m*m\/(m\/m**(-21))*m)*m)\/m**(-5))**(-1\/10) assuming m is positive.\nAnswer: m**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -23 + -5 + 6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -8*(-3)\/42 - (-54)\/(-2016)*-100. Which is the closest to 0.2? (a) -0.1 (b) 2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 258241, 516473, 774705, 1032931, 1291145, 1549341?\nAnswer: 1807513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.15 + -3.15. Let o = 2.7 + t. Let j = -297 + 297.5. Which is the nearest to -2? (a) -0.5 (b) j (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/6*576\/(-24)*(-103)\/(-206)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 0.026, -20\/3, 5, -3\/5 in ascending order.\nAnswer: -20\/3, -2\/3, -3\/5, 0.026, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -192 divided by -3\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 172 and 6.\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2\/7 (b) -0.0028 (c) 5 (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**17*q*q**(-28)*(q**(-18)\/q)\/q*q*(q**(-27)*q)\/q assuming q is positive.\nAnswer: q**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014535896 rounded to four dps?\nAnswer: 0.0145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 11\/4 (b) -0.23 (c) 5 (d) -14 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160\/128*(-14)\/(-10).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1284, 2504, 3672, 4788, 5852?\n\"Answer: -26*r**2 + 1298*r + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21664046 to the power of 1\/2, to the nearest integer?\nAnswer: 4654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -72*q + 79. Determine a(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l**2 - 3*l**2 + 4*l**2)*(0*l + 3*l + 3*l) + 3*l**3 - 15*l**3 - l**3 as f*l**3 + z*l + m + s*l**2 and give f.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -15*w - 1. Let q = 702 - 711. Let b(u) = -11*u**2 + 4. Let s(k) = -25*k**2 + 9. Let g(a) = q*b(a) + 4*s(a). Calculate g(c(z)).\nAnswer: -225*z**2 - 30*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -3803 and -3802 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p - 68 = -68 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/8 of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 7 = -4*a - 5*y, -3*y = -5*a + 22. Suppose -a*k + 7 + 1 = 0. Does 19 divide 18*k + (8 - 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 3:18 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -6. Let b = 1 - c. Let g be (-5)\/(-5) + 1\/(-2). Which is smaller: g or b?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 11*y**2 - 5*y - 26. What is the remainder when w(12) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1710)\/2280 + (-9)\/(3 + 0)*-1\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -8 (c) -0.2 (d) -0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = z - 1. Suppose -z*a = -2*l - 8, l - 6*l = 5*a - 50. Solve -b + 1 = 0, -b - 2*b + a = 4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2. Let m(j) = 30*j + 1. Let f(h) = -307*h - 5. Let u(t) = -f(t) - 6*m(t). Determine w(u(v)).\nAnswer: -16129*v**2 + 254*v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34574*x - 13 - 15 + 28.\nAnswer: 34574*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -36*f - 100. Let n(r) = r**2 + 37*r + 100. Let j(x) = 4*n(x) + 3*t(x). Factor j(k).\nAnswer: 4*(k + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 13. Let q(t) = -t + 8. Let d be q(o). Solve -i + 4*i = d for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8899 a factor of 1164282867?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**5 + 16*i**4 + 156*i**3 - 376*i**2 - 1280*i + 2688 = 0. Calculate i.\nAnswer: -4, 2, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 10, s: 1, t: 4, m: 2, k: 1}. What is prob of sequence ks?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2415643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n - 3. Let t be (2 - 1) + (-2 - 0). Let v = 6 + t. Let f be k(v). Solve 0 = -f*o - 4*y - 26, -y = -o + 4 - 2 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 15, 5, -24, 2 in descending order.\nAnswer: 15, 5, 2, -1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from deeeeaetbeedeeheette. Give prob of picking 2 e and 1 b.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, u: 8}. Give prob of sequence uuun.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of y**5\/12 - 5*y**4\/3 + 40*y**3\/3 - 11*y**2\/2 - 10. Let q(w) be the second derivative of x(w). Find o, given that q(o) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.001 + 81.001. Let r = 80.999914 - n. What is r rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p + 34. Let y(m) = m. Suppose 4*d - 3656 + 3652 = 0. What is d*z(k) - 3*y(k)?\nAnswer: -k + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5*q + 621 = 0, z + 130*q - 128*q = 206. Suppose 2*l - 9*l = -371. Calculate the highest common factor of l and z.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j*j*j*j**(-9)\/j*j*j)\/j*j)\/((j*j**2\/j)\/j))\/(j**(1\/4))**1 assuming j is positive.\nAnswer: j**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/7)*(d**(-2)*d)\/d*(d\/(d*d\/(d*d**(-1))*d))**(-4\/3) assuming d is positive.\nAnswer: d**(20\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 a, and 1 w when three letters picked without replacement from aauxwaaaaaawhea?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 174570.2 kilograms in grams?\nAnswer: 174570200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-11)\/6)\/(2610487\/130548 + -20 + 0).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -3*v**7\/112 + 11*v**6\/240 - v**5\/40 - 2*v**3\/3 + 8*v. Let b(o) be the second derivative of c(o). Factor b(l).\nAnswer: -3*l*(3*l - 1)*(5*l - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2636945 is divided by 5821.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.262 + 0.262. Let o = -53\/245 - 568327\/1470. Let j = 385 + o. What is the fourth biggest value in 2, k, j, -0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 13\/43 (b) -3\/8 (c) -5\/3 (d) 0 (e) 0.1 (f) -881\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 17*y**2 + 2*y - 38. Let b be f(17). Let r = -7 - -11. Let w(k) = -3 + 1 - r*k**2 + 0*k**2 + 7 - k**3. What is w(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, i: 6, w: 2, k: 4, r: 3}. What is prob of sequence kw?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14271 = -3081*b + 39498 + 112605 for b.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14512 + -14495. Solve -5*i - a*i + 15*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 564 + -1690\/3. Solve -f*o**2 + 2\/3*o + 0 = 0 for o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - l + 2, l = -2*g - 0*g + 5. List the prime factors of (-25 - -203) + -7 + g.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1213133858.\nAnswer: 2, 29, 751, 27851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -1\/40*r**5 + 0*r - 126*r**2 - 3\/4*r**3 + 1\/4*r**4 + 0. Factor i(o).\nAnswer: -3*(o - 3)*(o - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 343 - 356. Let h(i) = 14*i. Let l be h(-1). Are p and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 310176777.\nAnswer: 62035355.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 456, 802, 1138, 1458, 1756, 2026?\nAnswer: 2262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106123 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 0.9. Let t = 4 - z. Let u = -3 - -5. Which is the nearest to u? (a) -5 (b) t (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2682098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -178\nAnswer: -3\/178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away 2.1522?\nAnswer: -1.1522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3*r + 69, -2*n - 7*r + 34 = -3*r. Calculate the highest common divisor of 231 and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43 + 127\/3. Suppose -2*m - m + 15 = 0. Let r be m + -5 - 3\/(0 + -12). Which is the biggest value? (a) r (b) s (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pqdtktkpu. What is prob of picking 2 k and 1 d?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 0 - ((15 - 6) + -10 - 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 7 = 3*a - 7*a, 4*a - 2*t = 6. Let m be (-48)\/576 + a*1\/(-4). Let q be 3\/(-6) - (-1)\/3. What is the second smallest value in m, -2\/19, q, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**33*d**5 assuming d is positive.\nAnswer: d**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 7*p**2 + 7*p - 2. Suppose -1 = 2*m - 9. Suppose 0 = -5*i - 20, b + b + 2*i = m. Calculate the remainder when t(b) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*j**3 - 354*j**2 + 1064*j**2 - 351*j**2 - 359*j**2.\nAnswer: -53*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 850 + -5007197694.\nAnswer: -5007196844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13369 take away -0.53196476?\nAnswer: 13369.53196476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7240197?\nAnswer: 3, 19, 37, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/2, -7, 188, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z*z*z*z\/(z*z\/z**(-12)))\/z))**(-2\/7)*z**1*z*z\/(z**15*z)*z*z)**(9\/2) assuming z is positive.\nAnswer: z**(-909\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 84 + 371 + 1390*t + 1375*t**2 - 335 + 105*t**3.\nAnswer: 5*(t + 1)*(t + 12)*(21*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 397, -0.5 in decreasing order.\nAnswer: 397, -1\/6, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25960 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -339825096 by -1452244.\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51 - 23. Let k = 20 - f. Let y = -8 - k. Solve y = u + 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(57)\/sqrt(3) + 0 - -2*(sqrt(171))**2 - ((sqrt(19) + 2)*-4 + -5)) + -1)*-3*4.\nAnswer: -4248 - 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33760231 (base 8) in base 4?\nAnswer: 123332002121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.3962*-5\nAnswer: -1.981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2504 = 39*i + 655. Is i greater than or equal to -76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (4 - (-170)\/(-35))\/((-4)\/19) and 2\/3 + (-18)\/(-8)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((5 - -13) + -28).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -193786 less than or equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 648485?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 17. Solve r = -3*k - 14, k - 3 = 3*r - j for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a - a + 240 = 0. Suppose 4 = 4*q + 40. Let k = q - a. Solve -8*g + k = -3*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 282221513 - 15685\nAnswer: 282205828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 36*c + 120 = 0. Factor 16\/3*v**3 - 2\/3*v**c - 4*v**2 - 50\/3 - 80\/3*v.\nAnswer: -2*(v - 5)**2*(v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -2 (c) -0.11 (d) -5 (e) 518\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 776 and 328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.3 - -2490?\nAnswer: 2450.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w + w + w + (5 - 3*w - 5)*(-1 - 2 + 2) - 3 + 3 - 2*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/3*108\/8. Suppose 5*v = g + 7. Solve 0*d = v*d - 4*w + 9, 0 = d + 4*w - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 9*m + 26. What is q(10)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.3? (a) -0.2 (b) 8 (c) 0.1 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 2, 9.\nAnswer: -8, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -7*b**2 + 3*b - 3. Suppose 0 = 4*z + 3*r - 171, -r = 2*z - 0*z - 83. Suppose 42*t = z*t + 3. Let w be l(t). Which is smaller: -6 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -13*q - 9. Let r(n) = -7*n - 4. Let w(l) = 6*g(l) - 11*r(l). Let z be w(-10). Let b be (1 + -2)*(-4)\/(-14). Is b equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9049286, 18098568, 27147852, 36197138, 45246426?\nAnswer: 54295716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 2:38 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 8*s**2 - 9*s + 2. Let y be b(-9). Let f(p) = -791*p**y + 1859*p**2 - 1530*p**2. Let r(a) = -2*a. Calculate r(f(k)).\nAnswer: 924*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1975886836 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of d**3\/3 - 3*d**2 - 10153. Factor r(o).\nAnswer: o*(o - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + (50 - (89 + -24))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.5, 1\/9, -182, 2\/11, 58?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 52 = 73*g - 38*g + 53, 5*g - 3*m = -15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**4\/7 + 352*r**3 - 12444*r**2\/7 - 14904*r\/7 = 0. Calculate r.\nAnswer: -621, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - l - 1. Let q be c(2). Suppose q + 29 = 5*m. Is m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235*l + 232*l + 11094 = 0. Let s be 3182\/l - (2\/(-1))\/(-2). Is -1 greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/5*((-315)\/98)\/(-9).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -71377 divided by 47?\nAnswer: -71377\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**3 + 0*g**3 - 4*g**3)*(g**2 - 13*g + 13*g) + (-9*g**3 + 41*g**2 - 41*g**2)*(g**2 - 9*g**2 + 0*g**2).\nAnswer: 70*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4\/3)\/q*q**(-3\/4))\/(q*q*q\/(q**(-1)\/q*q))**7 assuming q is positive.\nAnswer: q**(-373\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+217883721530\nAnswer: 217883721530.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(-12*o - 15*o + 3*o)*(2 - 1 - 3)*(-3 + 1 + 1).\nAnswer: -48*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.01547 to 1 decimal place.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1406 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 855\/(3 - (5 - (-55)\/(-25))). Suppose -13*l = -38*l + y. Is l a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -57257*u + 114914*u - 56966*u. Let j(g) = 14*g**2. Give a(j(n)).\nAnswer: 9674*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ih when two letters picked without replacement from wihhhki?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1751 - -2 - (-29)\/29. Suppose -9*t = -91 - d. What is the greatest common divisor of 5 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -5, 5.2, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37089114.\nAnswer: 2, 3, 97, 63727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/2611 and -4\/636711.\nAnswer: 4456977","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 644 - 644.3. What is the second biggest value in 2\/9, -25, x, 2\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 266651, 266637, 266601, 266537, 266439?\n\"Answer: -u**3 - 5*u**2 + 8*u + 266649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 2 = -2*w. Suppose -4 = -4*y + 5*k, 1 - 5 = -4*y - 4*k. Let o be (3 - 2)\/y*1. What is the highest common factor of w and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 17*j**3 - 11*j**2 - 4*j - 29. Let v(r) = -4*r**3 + 3*r**2 + r + 7. Let t(y) = -2*b(y) - 9*v(y). What is the least common multiple of t(3) and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -23, -32, -2 in ascending order.\nAnswer: -32, -23, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 10*u - 8. Let r(m) = -m**2 + 14*m - 4. Let a be r(13). Suppose 6 = 3*g - a. What is the units digit of x(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -77*a**3 + 12*a**2 + 21*a - 30. Let f be n(-4). Calculate the greatest common divisor of 2 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4368)\/(-10556))\/((-6)\/(-261))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42659\/(-5884)*2\/(-2)?\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i - 9. Calculate b(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l*l**(-1\/7)))\/l)\/(l\/l**0))\/(l**6*l\/(l**(4\/9)*l)) assuming l is positive.\nAnswer: l**(-530\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2281175657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 736*m + m**2 + 652*m - 33 - 1388*m.\nAnswer: m**2 - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -208, -402, -596?\nAnswer: -790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -1, 5, 6 in descending order.\nAnswer: 6, 5, -1, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/2 in -26, -0.087, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -a**5\/60 - 5*a**4\/24 - a**3\/3 - 1. Let u(f) be the third derivative of z(f). Differentiate u(d) with respect to d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 12:44 PM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 332145 divided by 495?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 308 a factor of 629536908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 372965?\nAnswer: 372964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1066 + -45. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (-12 - ((19 - 11) + -28))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 470*h**3*o**2 + 1245774*h**3 + 1309*h*o**2 - 6*h*o + 8*o**2 wrt o?\nAnswer: 940*h**3 + 2618*h + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**1)**(-3\/10))**47)**(-9) assuming l is positive.\nAnswer: l**(1269\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(200) + sqrt(200))*-6 + 4 - sqrt(20)\/(sqrt(10) - (sqrt(10) + (sqrt(10) - ((sqrt(160) - -2*sqrt(160)) + sqrt(160)))))*2)**2.\nAnswer: 28832*sqrt(2)\/15 + 6508808\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 46 and 1638737.\nAnswer: 75381902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 55967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {h: 2, r: 4, s: 2, p: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/462 + 0 + (-52)\/182.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*j - 67*j = 484*j - 5897 + 45569 for j.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -35*y**2 - 11*y - 351. Let g(x) = -19*x**2 - 6*x - 176. Let k(h) = -11*g(h) + 6*o(h). Find the first derivative of k(p) wrt p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4901 - 4901 - 85*u**2)*(5*u + 7 - 7) - 2*u**3 + 0 + 0 as z*u + m*u**2 + n*u**3 + g and give n.\nAnswer: -427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -102212020110 (base 3) to base 4\nAnswer: -320333232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35161770 to the nearest integer?\nAnswer: 5930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 99 and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 + 120. Let q = 39 + -15. Calculate the remainder when a is divided by q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 14*o + 8. Let b be c(-8). Let u be (18\/(-4))\/((-39)\/b). Let q be -2 - ((-6)\/(-15) + u\/5). Solve -2*h + q*h = -8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-3)*24\/40. What is the smallest value in -1, -7, c?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c**2 - c**2 - 5*c - 5 - c**3 + 0*c**2 - c**2. Let k be -18 + 5 - (-14 - (-35)\/7). Determine w(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 2*r + 2*r + 8, -5*r + 20 = 0. Calculate the highest common divisor of 30 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -3.7.\nAnswer: 7.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 21 = 4*f - 37, -3*f - 24 = -3*n. Solve 0 = -n*m + 6*m - 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*y - 5. Factor 18*x**2 + 6 + 12*x**3 - 3 + 5*x**4 - 2*x**y + 12*x.\nAnswer: 3*(x + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105103660?\nAnswer: 2, 5, 89, 137, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - -12) + 5 + -15 + -48\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 205, 336, 417, 424, 333, 120, -239?\n\"Answer: -4*k**3 - k**2 + 162*k + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 4:53 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53064275?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.6 + -5.4. Let k = 5.943 + 0.057. Let m = c + k. Which is smaller: m or 5\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 287 - 287 - 229*v.\nAnswer: -229*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 72 = 3*a. Suppose -3*h + a = -h. Solve h*u = 3*p + 9, 5 = -p - u + 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -16869, -67467, -151797, -269859, -421653, -607179?\n\"Answer: -16866*w**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 137 or 19389\/143?\nAnswer: 19389\/143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.69467302 to three decimal places.\nAnswer: 11.695","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m**2 + 40*m - 31. Determine q(-9).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2022110101 (base 3) to base 10\nAnswer: -45532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*k - 8 = -26, 3*k + 30 = -5*u. Let a be 806\/93 - (-4)\/u. Let p(i) = -i - a*i - 1 + 23*i**3 - 2*i + 12*i. Give p(1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -2 + -7 + 3 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m - 5. Let d be i(-6). Suppose 6 = -3*f, d*g - 3*f = 3*g + 602. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 102 - q**3 - 3*q + 103 + 2*q**2 + 2*q. Give h(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*h - 59*h + 128 = 0. Suppose h - 8 = -8*p. Let k(j) be the first derivative of j**4\/4 + j**3\/3 - 2*j**2 - j + 3. Give k(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1120 and 2170.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -8*r**3 + 6*r**2 - 67*r + 13. Let b(c) = 15*c**3 - 11*c**2 + 137*c - 24. What is 6*b(z) + 11*f(z)?\nAnswer: 2*z**3 + 85*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.656 plus 3.929?\nAnswer: 3.273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(5929))\/(-4*sqrt(28)\/sqrt(4)).\nAnswer: 33*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4 + sqrt(6)\/(sqrt(8)\/(sqrt(4)*-4)))*6.\nAnswer: -144*sqrt(3) - 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 308?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 36*r - 71. Let i be n(-2). Solve -2*c + 16 = 3*y + 1, y - i = -3*c for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -44, -1, -4, 3, 2, 40 in descending order.\nAnswer: 40, 3, 2, -1, -4, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*(-8)\/40)\/(2\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 355802395?\nAnswer: 5, 13, 5473883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -c + 59, 3*q + 16 = 5*q - 4*c. Suppose 5*n - 79 - 51 = 0. What is the remainder when n is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 e when four letters picked without replacement from {e: 16, b: 4}.\nAnswer: 64\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0597622 rounded to 4 dps?\nAnswer: -0.0598","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1 - 0)*1)\/(30\/(-3090)). Let d = j + -101. Factor 2*l**d - 9\/2*l + 1.\nAnswer: (l - 2)*(4*l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -2*y + 2336, -8 = 4*c - 2*c. What is the units digit of (-1 - 0)\/(-1 + 1164\/y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 99 + 61 - 187 - 2*o in the form n*o + s and give s.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4626 divided by -1542\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o + 669 = -227. What are the prime factors of (o\/32)\/(7\/1148)?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -d**5\/20 + 3*d**4\/8 - 5*d**3\/12 + 225. Factor b(i).\nAnswer: -i**2*(i - 5)*(i - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**3 + 36*a**3 + 119*a**3)*(-2 + 3 + 0)*(2*a + 1 - 1).\nAnswer: 310*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) + -1*sqrt(15)*3 + sqrt(45)\/sqrt(27))\/(sqrt(35)\/((sqrt(7) - (sqrt(7) - (2*sqrt(70))\/sqrt(10))) + sqrt(7))).\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/6 - 7*y**2\/6 + y + 12.\nAnswer: -(y - 3)*(y + 4)*(y + 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 6*y + 1. Let q be g(0). Suppose -85 = -7*x + 97. Let t = x - q. Solve -5*l - 5*f - t = 0, 2*l - f = 2*f + 5 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 10) in base 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3060*w**2. Let p(y) be the third derivative of y**5\/20 - 8*y**2 - 634. Calculate z(p(b)).\nAnswer: 27540*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10261, -10277, -10255, -10177, -10025, -9781, -9427?\nAnswer: -8945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -58 - -61. Let h = 95 - 47. Suppose -h = -v - j*v. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 13 = -3*f + 29, -2*f - 10 = 3*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.27257 months in decades?\nAnswer: 0.73560475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008099213784 to five decimal places.\nAnswer: -0.00081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-5 + (1*sqrt(170)*-2 - (sqrt(170) - (sqrt(170) + (sqrt(170)*1 + sqrt(170))*6 + sqrt(170))))\/((3*sqrt(250) + sqrt(250))*-6))**2.\nAnswer: 11*sqrt(17)\/12 + 376457\/14400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*c - 888246 = -230*c + 195001. Is c a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2388895 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n + 2. Let w(f) = f**3 - 25*f**2 + 23*f + 38. Let u be w(24). Let q(v) = 5 + 5*v - 15 - 9*v + u. What is -4*q(c) + 9*r(c)?\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/23 (b) -0.14 (c) -8\/46897 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 123438439*g + 155595969 wrt g.\nAnswer: 123438439","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/6 + 36\/(-27))\/(-2). Let p(q) = q - 1. Let d(c) = -1 + 3 - c + 0. What is i*d(w) + 3*p(w)?\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hcmqkhhqh. What is prob of picking 1 q, 1 c, 1 k, and 1 m?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 6*u**2 - 21. Let h be s(4). Suppose 4*a - a = h. Calculate the greatest common divisor of 15 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**2 + 6*j + 5. Let d(r) = -r**3 + r + 1. Let b(u) = d(u) - q(u). Let a be b(-4). Suppose 5*y - 13 = a. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1107 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17.940131514 - -2.1.\nAnswer: 20.040131514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-5.94.\nAnswer: 0.594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l + l - 19*l + 6*l + 0*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -128*n - 183. Let c(u) = -154*u - 182. What is 5*c(r) - 6*y(r)?\nAnswer: -2*r + 188","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006976 to 6 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 5 = -4*i - 0, -9*i + 27*j + 77 = -9*i + 4*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -225.634 + -0.366. Let n = h + 178.4. Round n to the nearest integer.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(68) - -4*sqrt(68)) - 3*sqrt(68)*-1)\/((2*sqrt(160))\/(sqrt(50)\/(sqrt(5)*2))).\nAnswer: 23*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(5*s - 11*s - 2*s) + (7*s - 2*s - 3*s)*(0 + 1 + 1) + 0*s - 4*s + 3*s.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 27*r = 0. Find q, given that -2\/5*q**2 - 2\/5*q**5 + 2\/5*q**4 + r*q + 0 + 2\/5*q**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 524 + (-4 - 1 - -5). Let k = -519 + r. Solve -4*i = 5*t + 23, -9 = -4*i + 4*t - k for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y + 0*y + 18*y to j*y + n and give j.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61233 (base 8) to base 7.\nAnswer: 133411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**2 + 4*h**4 + 8*h**3 - 2*h**4 - 3*h**4 + 2*h**2 to the form z*h**3 + u*h**4 + j*h**2 + s + g*h and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i**2 + 4*i + 3. Let g be l(-2). Let n(c) = c**2 + 3*c + 8. Let o(j) = -3*j - 8. Let m(z) = g*n(z) + 6*o(z). What is the units digit of m(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -133.8 * 177674\nAnswer: -23772781.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a + a + 4*a + 75 + 2*a.\nAnswer: 2*a + 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.2, 2, 6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -78171, -312665, -703485, -1250631, -1954103, -2813901, -3830025?\n\"Answer: -78163*v**2 - 5*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75277649?\nAnswer: 17, 29, 43, 53, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (113 + 119 - 104 + 17)*(3*q**3 + q**3 - 3*q**3) in the form g*q**3 + j + n*q + w*q**2 and give g.\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -16, -61, -106?\n\"Answer: -45*o + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5919 divided by 5919\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 31 + -14 + -126 + 100\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189 + -180 - (-3 + 0).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f + 8*f + 1090 = 0. What are the prime factors of f?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 0, 28, -98 in increasing order.\nAnswer: -98, -9, 0, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 3*h**5\/4 - 435*h**4\/4 - 16467*h**3\/4 + 4739631*h**2\/4 - 42733509*h - 43922424 = 0.\nAnswer: -104, -1, 68, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -99.423062 + 0.1?\nAnswer: -99.323062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 4 = k, 161 = 5*h - 4*k. Suppose -6*t - 3*t - 189 = 0. Let c = h + t. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22361 is divided by 107?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 1269 = -z - 512, z = -4*m + 752. Suppose 776*k - 12 = z*k. Let g be (-6)\/(-9) + 1\/(-3). What is the closest to 0.1 in -2\/3, k, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -319.0174 - -319. Round z to 3 decimal places.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15150*5.1.\nAnswer: 77265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/(-180)*52\/(-182))\/(4\/(-18)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 2 (b) 1 (c) -3 (d) 92\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus 23318680990?\nAnswer: -23318680990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22\/(-28) - 2\/(-7). Let o be (-8)\/12 + 2\/(24\/40*-5)*-3. What is the second smallest value in 1\/7, w, 1\/4, o?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/308 and 11\/28.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/84)\/((-1)\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34884 divided by -11628.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 4*m - 3. Let g be q(-4). Let c be (-2*(-2 + 1))\/g. Let n = 250\/9 - 28. Sort n, -2, c in increasing order.\nAnswer: -2, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, h: 4, z: 3, k: 3}. Give prob of picking 1 k and 1 h.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 673752361?\nAnswer: 673752361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -5, 4, 1958, 2 in increasing order.\nAnswer: -5, -4, 0, 2, 4, 1958","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**2 - 4*u - 13. Let n(c) = -c**2 - 5*c - 13. Let p(z) = 3*n(z) - 2*r(z). Let k be p(10). Let o = k - -4. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 76 and 221084?\nAnswer: 221084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 - -52. Sort -3, z, -5 in decreasing order.\nAnswer: z, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -679 (b) -1740\/11 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 - h + 24. Let o = -538 - -551. What is the remainder when y(0) is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/26 + 104\/13520.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -1. Let a = c + 0. Let n(h) = -192*h + 8. Let s(z) = -22*z + 1. Let y(d) = n(d) - 9*s(d). Determine y(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 1 = -5*x + 4, -3*x = 5*s + 3. Let n(f) = -46*f**2 + 0*f**3 - 4 + 2*f + 42*f**2 + f**3. Does 4 divide n(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1520 by 5.\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1963)\/260*24\/9 + (-2)\/(-150)*10?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1615*j**2 - 4*j + 3*j + 1593*j**2.\nAnswer: -22*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - (sqrt(204) + (-1*sqrt(204) - sqrt(204)))*3)\/(sqrt(12) - (sqrt(108) - 2*sqrt(108))\/sqrt(9)).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -99 in descending order.\nAnswer: 5, 1, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -a**5\/4 - 11*a**2\/2 + 18*a + 17. Let m(u) be the first derivative of f(u). Find the first derivative of m(s) wrt s.\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.271783ng to tonnes.\nAnswer: 0.000000000000001271783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnb when three letters picked without replacement from nmmbbbbncmmnnbbnmmnn.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -16, -57, -122, -223, -372, -581, -862?\n\"Answer: -2*s**3 - 27*s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 10 = 4*f, 0 = 3*f + 4*i + 142 - 153 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 - 6*l**2 + 2*l**2)*(-3 + 3 + 2*l) - l + l + 2*l**3 + 10*l**3 + 5*l**3 + l + 10*l**3.\nAnswer: 23*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 431906 + 91960 = 6*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219716?\nAnswer: 2, 7, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h*j**3*k + 9*h*j**2*k**2 - h*k - j**3*k**2 - 8*j**3*k - j**2*k - 120*k**2 + 2*k wrt k?\nAnswer: 18*h*j**2 - 2*j**3 - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 7*l - 9*l + 2*l**2 - 3*l**2 + 2. Let d(n) = 3*n**3 - 21*n**2 + 24*n - 39. Let x be d(6). What is y(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1314456516 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -90 or -88?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**4\/3 - 3274234*u**3\/3 + 3274244*u**2\/3 + 13096936*u\/3 - 4365648 = 0. What is u?\nAnswer: -1637118, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -5*s. Let x(m) = -74396*m. Determine l(x(a)).\nAnswer: 371980*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1272 in 0.03, -57, -14?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 189 and 861.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5 - ((-60)\/390 - 11\/13). Put s, 448, 5, -3 in ascending order.\nAnswer: s, -3, 5, 448","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -4*s**2 + 13*s + 2. Let j = -1409 - -1411. Let n(x) = -x**2 + x + 1. Determine j*n(r) - y(r).\nAnswer: 2*r**2 - 11*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - p = 8, 2*q = q - p - 2. Let z be 38\/(q\/(3\/(-3))). Let o = 20 - z. Which is bigger: -2\/11 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - q + 105. Let t be p(10). Let m be (-4)\/10 - (-22)\/5. Let k be m\/(5\/2 + -2). Put t, k, -1 in descending order.\nAnswer: k, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1112 + -12324?\nAnswer: -13436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 20\/((-5 + 4)*1). Does 18 divide -2*726\/t + 3\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2)**(6\/11)*c**5\/c**(2\/9) assuming c is positive.\nAnswer: c**(581\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + l. Let n be q(-1). Let w(z) = -2*z + 5*z + z + n*z. Give w(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 82*j + 84*j - 17*j**2 - 168*j - 5*j**2 - 27 + 88*j**2 to the form z*j**2 + h*j + s and give z.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 137858 and 90902?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3389 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2260*q**2 - 46*q + 9. What is the tens digit of t(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52570597*w**4 + 2713*w - 2003?\nAnswer: 630847164*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -2, -4, -14, -1072, 0 in decreasing order.\nAnswer: 4, 0, -2, -4, -5, -14, -1072","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33922115, 67844230, 101766345, 135688460, 169610575?\nAnswer: 203532690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10776825*g - 13781128 wrt g?\nAnswer: -10776825","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w**3 - 2*w + 2*w)*(62 - 1 - 14*w + 11) to the form q + j*w**3 + g*w**2 + b*w**4 + c*w and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(72)*-6.\nAnswer: 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 521338?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*y**2 - 98*y**2 - 307*y**3.\nAnswer: -307*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.89 + 0.11. Let u = -251 - -341. Let d = 85 - u. Sort d, -1\/4, c, -0.4 in ascending order.\nAnswer: d, -0.4, -1\/4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*d - 4. Suppose 2*x - 14 = -2*p + 4*x, -d*x = p - 1. Let f = -11277.8 + 11277.3. Which is the smallest value? (a) f (b) p (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11.27 - -0.07. Let s = -16 - -21.8. Let k = w + s. Round k to zero decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -92 and -98 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a decade in months?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i**4 + 0*i**4 + i - 2*i**2 - i**3 - 4 + 3 - 2*i**2 to p*i**4 + r*i**2 + y + l*i + j*i**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*g + 16*g = -2349. Let c = -87 + g. Does 29 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 7*o**2 - 7*o + 10. Let s be c(-8). Suppose 0 = 5*j - s*a - 21000008, -j - 3*j + 16800020 = -5*a. What is j rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) -3 (c) 2455\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 117 + -121. Let s(h) be the first derivative of 2*h**3\/3 + h**2\/2 - 10*h - 1. Let u be s(d). What is the highest common factor of 12 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 6, -2\/29?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 10*(-10)\/20.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 354\/(-1947)*(-33)\/5.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-11) + 3*70\/55. Let a(k) = -k**3 + 10*k**2 + 2*k. Let v be a(10). Solve -h*m + v = -0*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -817*c - 2. Let n(h) = 2*h. Give q(n(p)).\nAnswer: -1634*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 376514.9 rounded to the nearest one hundred?\nAnswer: 376500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**0)\/b**0)\/(b**4\/((b\/(b*b*b**(-1\/3)))\/b*b)))\/(((b\/b**5)\/b*b\/(b*b*(b\/(b*b**(-5)))\/b))\/(((b**1*b)\/b)\/b**2)) assuming b is positive.\nAnswer: b**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 220*v. Let z(l) = 2*l. What is m(z(b))?\nAnswer: 440*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15498\/1845 + 7514\/(-85).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3534691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 x when four letters picked without replacement from qxxqxxqqqqqxxx.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1584) + sqrt(11))*-6 - ((sqrt(231) - sqrt(231)*-2)\/sqrt(7))\/sqrt(3))*-5.\nAnswer: -30 + 405*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 178395641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 1:16 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26227 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(176) - (sqrt(176) + 2)) + sqrt(11))**2 + sqrt(11)) + 5.\nAnswer: -70 + 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5201 - 107156?\nAnswer: -114357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 552 = 3*g, g - 214 = -3*k - 30. What is the greatest common divisor of g and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*q**2 - 2380*q - 596.\nAnswer: 4*(q - 149)*(4*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -0.24?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/24 and -131\/228.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 2 = -9*o - b, -3*o - 2*b = 4 - 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k - 6. Let p be l(-6). Suppose 5*y + 7*w - 3*w - 21 = p, 4*y = -w + 19. Solve 4*u = 3*s + 2*s + 15, u + y*s + 15 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3612. Let k(t) = -221. Let r(y) = 3*a(y) - 49*k(y). Let g(o) = o - 1. Determine g(c) - r(c).\nAnswer: c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5*z + 12, 5 = 4*z - u - 5. Let x be ((-9)\/(-6))\/((-3)\/(-4)). Are x and z equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13522705\/134444 + -6090\/61. Let h = -2\/551 - j. Which is the nearest to 0? (a) 5 (b) -4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - b = 855. Suppose -b = 5*k - 120. Let p be (2 - (-1 - -2)) + 0. Put -2, -3, p, k in decreasing order.\nAnswer: k, p, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1146)\/(-32852)*(-1)\/((-3)\/(-4)).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1749 + 1755. Solve s = h + 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 6452*m**4 - 2*m**3 + m**2 - 22*m**3 - 6453*m**4 + 3*m as q*m**4 + c + p*m**3 + i*m + j*m**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/547 and 31\/370319?\nAnswer: 370319","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33 + p + 7 + 39 + (2*p + p - 6*p)*(-3 + 0 + 4).\nAnswer: -2*p + 79","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1125*u**5 + 557*u**5 + 510*u**5 + (1 - 2*u**2 - 1)*(-u - 11*u**3 + u).\nAnswer: -36*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/4 + (19\/4 - -3). Let h(g) = -g**2 - 16*g + 297. Let i be h(-27). Put s, -4, i, -1 in ascending order.\nAnswer: -4, -1, i, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2 + 4 = -4*j, -4*z = 3*j - 33. Does 16 divide (z\/(-3) + 6)*10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.121 + 0.079. What is the smallest value in -1\/9, -1\/2, -0.027, j?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11301490 or -11301500?\nAnswer: -11301490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 2*v + 0 - 6)*(2*v**2 + 1 - 1).\nAnswer: -2*v**3 - 12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + (13 - 23 - (16 - 35 - -16))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 162871445 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 859 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9*994102.\nAnswer: 894691.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5\/30671 - -1738847\/57661480. Find the common denominator of 21\/2 and o.\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28992789, 57985572, 86978355, 115971138, 144963921?\nAnswer: 173956704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 4*k**2 - 4*k + 2. Suppose -4*f = -0*x - 4*x - 40, -3*f + 4*x + 30 = 0. Calculate the remainder when l(-4) is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/2)\/(1\/(-12)). Let s be (1\/3)\/(2\/l). Suppose -5*d = -n - 1 - s, d - 68 = -3*n. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 11*v. Let s(m) = 2*m - 4. Let w(a) = 10*a - 22. Let i(t) = -33*s(t) + 6*w(t). What is i(q(l))?\nAnswer: -66*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 6 = -f - 296, f = b - 58 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*(-5*(sqrt(931) - (sqrt(931)*-2)**2) + 1 + (-1*sqrt(931))**2 + sqrt(931)).\nAnswer: -56*sqrt(19) + 39104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*z + 18 = 0. Let r(n) be the second derivative of n**4\/12 + 4*n**3\/3 + 7*n**2\/2 + 5*n. Determine r(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -140?\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 7*a + 8 = 0. Let w(c) = 34 + c**3 - 4*c - 28 - 6*c**a + 2*c**3. Let y(f) = -2*f**3 + 5*f**2 + 3*f - 5. Calculate -3*w(n) - 4*y(n).\nAnswer: -n**3 - 2*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2492?\nAnswer: 2, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3 + -5)\/(26\/(-7904))?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 17 = -x + 4, -n = -2*x + 2. Suppose -4*w - 4*r = -24, x*w - 6*r = -2*r + 46. Suppose w = 4*u - 42. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 11*u + 3*u**2 - 3*u - 8*u. Let l(s) be the first derivative of -7*s**3\/3 - 2*s + 24. Calculate l(c(f)).\nAnswer: -63*f**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10617749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p + 8. Let x = 9 + -2. Let c be q(x). Solve -5*i - 14 = c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*s + 0*s**3 + s**3 - 2*s - 3*s**2 to q*s**3 + w + u*s + a*s**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nnnncnnnknnnnnnn?\nAnswer: 91\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*l**2 - 22*l**2 + 37*l**2.\nAnswer: -14*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 3*u**3 + u + 9*u**3 + 3*u**3 - 17*u**3 + 6*u**3 + u**4 as z*u + w*u**4 + l*u**2 + m*u**3 + t and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 45\/18*(-6)\/(-1). Let q = z - 12. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 52, 49, 22, -35, -128, -263?\nAnswer: -446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q + 5. Let f(y) = 5*y. Let x(c) = -17*c + 9. Let j(z) = 3*f(z) + x(z). What is -5*i(a) + 3*j(a)?\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 225793345 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (26\/(-8))\/(2\/(-88)). Suppose 1052 = -5*p + 2*c, 3*p - 3*c = 4*p + 224. Let u = 225 + p. Calculate the highest common factor of u and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ua when two letters picked without replacement from {p: 7, u: 1, a: 9}?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: -2 - (-11 + 2534\/56) - ((-4)\/16)\/1\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 7*s + 20 = -3*i, 4*s - 3*i = -20. Is 6 a factor of 2\/5 - 193\/s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2820 and 2961705.\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.075082 + 0.09436. What is t rounded to 3 decimal places?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b**2 + 2*b - 4. Let c(u) = -13*u**2 - 9*u + 17. Suppose 3*r = 27 - 0. Let t = r - 18. Give t*s(k) - 2*c(k).\nAnswer: -k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -126, -139, -176, -249, -370, -551, -804?\n\"Answer: -2*y**3 + y - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-6*((-1*(-1 + sqrt(208)) - (-4 + 0 + sqrt(208))) + -1 + 3))**2 + 0.\nAnswer: -4032*sqrt(13) + 31711","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*o = 2*m - 64*o - 42148, 105384 = 5*m + o. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 421646562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x**3 + 3*x**2 - 9*x + 3. Let g = 0 - -3. Calculate the smallest common multiple of q(2) and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4874574 divided by 6?\nAnswer: 812429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 1434*l - 1439*l. What is the remainder when (7 - 219)*1\/(-2) is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10000211 (base 3) to base 13\nAnswer: -100c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 51 + 33 = 0. Let f = g + 16. Solve -f*v = -5*v + 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318976877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3849 is divided by 124?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 4*w - 1 = 0, 4*w - 17 = 3*m + 14. Suppose 6*v - 68 = -14. Suppose 2*l + v = -3*u, -3*l + 4*u = 5 - 0. Put m, 4, l in decreasing order.\nAnswer: 4, l, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1789637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -34211830 + -5?\nAnswer: -34211835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 17*v**2 + v + 1. Let j(f) = -52*f**2 - 66*f - 125. Let k(s) = 2*j(s) + 6*r(s). Find p such that k(p) = 0.\nAnswer: -61, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 714934 is divided by 39695?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008877719622 to seven decimal places.\nAnswer: -0.0088777","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m**3*n**2*t - 14951*m**3*n*t**3 - m**2*n**2*t**3 + 40*m**2*t**2 + 6*m*n**2*t - n*t**3 wrt m?\nAnswer: 12*n**2*t - 89706*n*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of 2*b**2 - b**3 + 7\/24*b**4 + 1\/120*b**6 + 0*b - 1\/10*b**5 + 0. Let d be u(5). Solve 7 = -d*p - 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -563 - -576. Let d(s) = 16 + x*s**2 + 26 - 42 + 23*s**2. Let h(k) = -3*k. Give d(h(z)).\nAnswer: 324*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9837327ug in tonnes?\nAnswer: 0.0000000000009837327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-31376304)\/(-13080))\/((-206)\/(-200) - 1).\nAnswer: 2, 5, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 2*n - 1\/20*n**5 - 14 - 7\/12*n**4 - n**2 - 7\/6*n**3. Let p be o(-6). Solve -p*l + 0*l = 4, 3*i + 1 = -4*l for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of p**6\/120 - 9*p**5\/40 + 5*p**4\/3 + 3*p**3\/4 - 81*p**2\/8 + 4*p - 33. Factor f(g).\nAnswer: (g - 9)**2*(g - 1)*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, y: 2}. Give prob of picking 1 y and 1 d.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.015713 to four decimal places.\nAnswer: 0.0157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 413321?\nAnswer: 17, 41, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -12) + (-47 - -31 - -55 - 56)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -24733371?\nAnswer: -24733371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a day in seconds?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**3\/7 - 26433*p**2\/7 + 105768*p\/7 - 105780\/7 = 0. Calculate p.\nAnswer: -8815, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2244)\/504 - 6\/(-21)) + -5. Which is smaller: -8 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 + -27.1. Let m = 0.047 + -2.547. Let j = m - w. Which is the closest to -2? (a) j (b) 4\/5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 283716543\/538 + -527354. What is the common denominator of -119\/12 and o?\nAnswer: 3228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 276\/(-115)*1\/4*10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 5:03 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*i - 35466 = -34086 for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, d: 3, p: 10}. Give prob of sequence dpn.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**2 + 7*u**2 + 17*u**2 - 2*u**2 - u**2 + u**2 + (0 + 2*u**2 + 0)*(-2 + 0 + 4) + 3*u**2 - 4*u**2 - 4*u**2 to s + y*u**2 + r*u and give y.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -6*j**2 + 25*j. Let y(w) = 11*w**2 - 51*w. Let p(s) = 5*l(s) + 3*y(s). Let f be p(11). Is f < 56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.4448 - 1.08722. Let i = t - -2.53. What is i rounded to four decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 2:53 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -4*q + 5. Determine g(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/5*(1\/(-2) - -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssf when three letters picked without replacement from {m: 1, p: 1, s: 4, e: 3, f: 2}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -2*t + 25, -5*t + 0*t + 5*z = -125. Suppose 0*m - 5*m - t = 0. What is the least common multiple of 9 and 1\/(4*m\/(-176))?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 7:17 PM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 9*t + 6. Calculate the highest common divisor of 5 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in -0.3, 171, 9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, e: 2, w: 1, c: 11}. Give prob of picking 1 c, 1 e, 1 w, and 1 d.\nAnswer: 22\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37870901 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -bb63 (base 13) in base 15?\nAnswer: -7b07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 10:46 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8683 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -4. Suppose -q - 4*v = 414, i*v = 4*v - 4. Round q to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2099*i + 11. Let s(d) = 7*d**2 + 41*d + 24. Let t be s(-5). Is y(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 3. Let d(m) = m**3 + m**2 + 1. Let t be d(q). Let x be (-8 - -6)\/(t\/(-6)). What is x rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 102874 - 511386650\/4971. Let f = 117599\/59652 + n. What is the common denominator of f and 11\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03119788618 to three decimal places.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4844, -4843, -4842, -4841?\nAnswer: -4840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23642 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -118 - -153. Let d = -37.5 + u. Round d to one decimal place.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*s**3 + 60*s**3 + 59*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 16415, 17862, 19321, 20792, 22275, 23770, 25277?\n\"Answer: 6*p**2 + 1429*p + 14980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 11*z**2 + 0*z**2 - 13*z**2 + 0*z**2. Let s(i) = -39*i**2. Determine s(u(w)).\nAnswer: -156*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d - 5. Suppose 4*u + 8 = 20. Let f be y(u). Solve -b = -f*b - 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 529578697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 530*o - 532*o - 4, -18 = 3*o for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 18, -3\/7, 8254632, 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -z**2 - 10*z + 11. Let u be s(-7). Let i = -55 - -68. Solve -4*g = -u*o - 8*g - 28, o = -4*g - i for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 63 = 4*j. Suppose 39*y - 36*y - 255 = 0. Suppose 7*z = 2*z + y. What is the remainder when z is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 - 28. Let i be (-168)\/10*(-40)\/o. Let t = 117 + i. Solve -t*m + 3*m + 7 = -c, 3*c = 4*m - 17 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20586\/11 - 1870. What is the common denominator of k and -95\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 309 or -8848\/15?\nAnswer: -8848\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1819938*a*d**4 - a*d**2 - 15*a - 3314*d**2 - 11*d wrt d?\nAnswer: -43678512*a*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -76 - -68?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 74566 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3133 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -460 in ascending order.\nAnswer: -460, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a milligram in micrograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 52 + 9c42?\nAnswer: 9c94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 18, -5, 28, 0.2, -23?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**4 + 960*c**3 - 7872*c**2 + 15872*c.\nAnswer: 4*c*(c - 4)**2*(c + 248)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 812*c - 243 = -838*c + 1677*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68 and 24514?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6325 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17.9 + -13. Let o = -5 + r. Let n = -39 - -34. Is o greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1242 + -1227. Suppose 0 = -4*f - 5*j + 76, 4*j = 4*f - 73 - 3. Suppose w*r = f*r - 172. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20121595 is divided by 242?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4683128*w**2 + 24901*w**3 + 4683128*w**2)*(-2*w + 0 + 0) as v*w**2 + f*w**3 + l + q*w**4 + c*w and give q.\nAnswer: -49802","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uquzzuuzlqzzxxllz. Give prob of sequence qz.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 + 54 - (10 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88, -67, -46?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0068 - -0.1068. What is the closest to r in -0.1, -4, -2\/7, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 651559*y**4 - 1346556*y**2?\nAnswer: 15637416*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 136*c - 16. Let r be w(-4). What is r rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12.07 - 12. Let u = 150 - 88. Let w = -61.9 + u. Is q smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55 + 23453*l - 34 - 26 + 5 to the form r*l + h and give r.\nAnswer: 23453","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 111111110000?\nAnswer: -111111101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 - 35. Suppose 25 - 15 = -5*g. Let t be 12\/3 + g + 4 + -2. Put 5, 2, f, t in descending order.\nAnswer: 5, t, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 8:07 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -0.1287499 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 30 = 5*t. Suppose 0 = 3*l + 5*q - 103 - 12, -4*l + 155 = t*q. Does 15 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3440 - -3441.917. Let i = 0.083 + p. Which is the closest to -2? (a) -1\/5 (b) i (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 14 = -0*n. Let x be (-1)\/(1\/n*-1). Let i = x + 3. What is the least common multiple of i and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -3. Solve -a + 5*i - 17 = 0, 4*a = -a + u*i - 25 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/10)\/(272\/(-85)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l - 17*l - 15*f + 32*f = 13*f + 17, -4*l - 26 = 3*f for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 5:45 PM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 2*z - 4*s + 39, -2 = -2*s. Let y = -31 + z. Suppose x + 1 = 2*x - t, -2*x = y*t - 14. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 976663380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 5:46 PM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/72 and 5012\/(-544)*-1 - 9?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 6 (b) 2\/17 (c) 5 (d) 23\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 83426*n + 21. Let u(v) = 83426*v + 20. Let y(o) = -3*u(o) + 2*z(o). Let g be y(7). What is g rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.8, -5, -5\/3, 9, 7, 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 205 - 181. Calculate the lowest common multiple of 502\/b - 23\/(-276) and 24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33322 is divided by 594?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**5 + 0 + 0 + (3*g**2 - 2*g**4 - 3*g**2)*(2 - 2 - 2*g) + 1190*g**5 + 177*g - 177*g - 22*g**5.\nAnswer: 1171*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1971.6476 - 1972. Let t = 0.31 + c. What is t rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 72.21789 minutes?\nAnswer: 0.0501513125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 131 - -231223102232?\nAnswer: 231223103023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 816749.85 rounded to the nearest one thousand?\nAnswer: 817000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5772034 milligrams in micrograms?\nAnswer: 577.2034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1152 - -3?\nAnswer: -1146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001338617 rounded to five decimal places?\nAnswer: -0.00134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 11 - 4 = 0. Let x = 139 + -136.4. Let m = x - 3.6. What is the biggest value in -2\/5, t, m?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, h: 3, u: 1, x: 3, r: 3, v: 7}. Give prob of sequence rhr.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 36.3, -2.98 in ascending order.\nAnswer: -2.98, 6, 36.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3502*f - 14025. What is m(-4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1130 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.26 - -0.04. What is the closest to -1\/4 in g, -0.03, 2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of q**5\/20 - q**4\/4 - 5*q**3\/6 + 2*q**2 - 9*q - 2. Determine k(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.22, -2, -1\/3, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4*x - 3. Let y(n) be the third derivative of n**4\/6 + n**3\/2 + 742*n**2. Give 3*w(k) + 2*y(k).\nAnswer: -4*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4*d = 237, 55 = 2*c - d - 32. Let o = 52 - 34. Calculate the greatest common divisor of o and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -14*b + 15. Calculate r(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 8*h - 8. Let v be (-6 + 2 + -2)\/1. Let x(o) = -23*o + 23. Give v*x(z) - 17*m(z).\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14996 = -5*q - b, 4*b = 63*q - 67*q + 11984. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 1) + 6 - (-704 + 711). Solve 0 = -5*y - i + 20, n - 2*y + 10 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l + 4. Let t be x(4). Suppose -3*k + 5*k - 10 = t. Sort -5, 6, k in increasing order.\nAnswer: -5, k, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n**5 - n**4\/4 - 5*n**3 + 5*n**2\/4 + 4*n - 1 = 0. Calculate n.\nAnswer: -2, -1, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1279.58 tonnes in kilograms?\nAnswer: 1279580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1676 + 3853. What are the prime factors of h?\nAnswer: 7, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-37498)\/20 + (-3)\/30. Let u = -1060 - c. What are the prime factors of u?\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 549095 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 554 is divided by 136.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 15*a**2 - 23*a + 59. Let s be v(-13). Solve 25 = 25*j - s*j, -2*n - j = -3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 178 times -20\nAnswer: -3560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3892814?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 468618.421 rounded to the nearest one hundred?\nAnswer: 468600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 11377.2mm?\nAnswer: 0.0113772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 6*p**2 + 4*p + 4. Let m be b(5). Let o be 2 + m + 2 + -4. Let y be 1*o\/(-2)*10. Solve 3*h - 15 = -4*x, -y*x - h + 7 = 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 18 = -12. Suppose -43 = -f*i + 17. Let b be 2\/(6\/i - (-6)\/(-30)). Sort -3, b, -2.\nAnswer: -3, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of p**8\/42 + 13*p**6\/24 - p**5\/30 + 40*p**3\/3 + 190*p**2. Find the third derivative of t(f) wrt f.\nAnswer: 480*f**2 + 390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8 and -23775321400747.\nAnswer: -23775321400755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a millennium in decades?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -1. Let u be (-1)\/(-3) + -6*(-1)\/9. Let x(k) = k + 1. Let l(d) = u*x(d) + 6*s(d). Let h be 0\/((-1)\/1 - 0). Determine l(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 divided by 3831.\nAnswer: -29\/3831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 89, 127?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-1386)\/(-420))\/(9\/(-15))*-2\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9985 is divided by 4657.\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -94*i + 222*i - 811*i - 10928 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78827054 is divided by 109?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-1) - (-6)\/(-3). Suppose 0 = -3*v - s*v + 9. Suppose -5 + 13 = 4*n. Solve v*g = -n*f + 3, -3*g - 4*f + 8 = g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/13 and -233\/22700 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 9*b**2 + 2. Let f be g(9). Suppose f*r**3 - 2*r + 4\/3 - 2\/3*r**4 - 2\/3*r**2 = 0. Calculate r.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1020221 (base 3) to base 14.\nAnswer: -496","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -214*g + 194*g + 124457 + 140723. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -73 - -137. Let m = 55 + 8. Let k = m - p. Is 1\/11 at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234*y + 1105 + 258 = -2615 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 38214\/(-297) - -1*(-2)\/6. Let m = f - -127. Is m != 4\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - 18 - (0 + 4 + 2).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 24\/5, -10, 1, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 - 4*g - 15)*(-3*g + g + g) - 34 + 34 - 19*g**2 - 4 + 4 + 2*g**2 as r*g + l + q*g**2 and give q.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1473, 2940, 4397, 5838, 7257?\n\"Answer: -m**3 + m**2 + 1471*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 2*r - 184. Determine d(-13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 52? (a) -7\/5 (b) -5 (c) 1\/2 (d) 68 (e) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 522531?\nAnswer: 3, 6451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2350 divided by 50\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -13*y - 3. Let j be g(6). Let c = -86 - j. Let w(x) = 3*x**2 - 3. Let f be w(c). What is the highest common divisor of f and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + w - 15 = 5*g, 0 = 3*g + w + 25. Let s(v) = v**2 + 15*v + 73. Calculate s(g).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4 + 1 + 0*p**3 - 6*p**2 + 4*p**3 - 3*p**3. Determine m(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, o: 4, b: 1, h: 1, g: 2}. Give prob of sequence thto.\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206*j - 831*j + 35*j**2 - 33*j**2 + 208*j + 213*j + 213*j.\nAnswer: 2*j**2 + 9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of 1\/70*w**5 - 11\/84*w**4 + 0*w + 2\/7*w**3 - 7*w**2 + 0. Let x(v) = 0. Calculate v.\nAnswer: 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + h - 2 = 0. Let t = 7 - 6. What is the remainder when h is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 448038 or 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -g**4\/4 + 2*g**3 + g**2 + 7*g - 86. Calculate p(7).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337275 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 25*j - 35. Let s be p(26). Let z(d) = 5*d**3 - 2*d**2 + 4*d + 3. Let i(m) = 21*m**3 - 9*m**2 + 17*m + 13. Give s*z(f) + 2*i(f).\nAnswer: -3*f**3 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(0 - -2 - 4). Let m = a - 1. Let l(h) be the third derivative of -2*h**5\/15 + 28*h**2. What is l(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*(-3)\/(-21)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55.3 - 55. Let j = 0.5 + -0.3. What is the biggest value in 3, j, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -36*q + 587. Calculate the lowest common multiple of 185 and g(5).\nAnswer: 2035","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 406?\nAnswer: 406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 26*z. Let a be x(26). What is the smallest value in 1, -2\/7, a, 0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192380659 is divided by 124?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 67 - 56. Which is smaller: o or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 87773880 and 680?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, 1475, -3, 0.05 in descending order.\nAnswer: 1475, 0.05, -3, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.4, 19\/4, -9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w - 3*w - 4*w)*(-w**2 - 2*w**2 + 8*w**2)*(5*w - 4*w + 0*w).\nAnswer: -5*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -7 - (-5 - -8 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.259533 micrograms in kilograms?\nAnswer: 0.000000007259533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 s when three letters picked without replacement from {i: 1, d: 2, s: 4, k: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 + 2*j**2 + 4*j**2)*(-13*j - 30 - 35 + 61)*(-2 + 4 + 1).\nAnswer: -156*j**3 - 48*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7500 equal to 7500?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1345 - -2350?\nAnswer: 3695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jijb when four letters picked without replacement from {j: 7, i: 1, k: 2, b: 2, v: 7}.\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1790137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5936 and 501065180?\nAnswer: 1484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**3*t - 2576*a**3 + 5*a**2*t - 12*a**2 - 68*a*t - 6858*a - 2*t wrt a?\nAnswer: 6*a*t - 15456*a + 10*t - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4 + 2*x**2 + 6*x - 3*x**2 + 6. Let t = -66 - -73. Calculate q(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*n - 3*n - 5*k, -3*k + 3 = 3*n. Let g be 17\/(-6) - (-17)\/(-102). Let r be 3\/g*2\/(-8). Sort -3, r, n in decreasing order.\nAnswer: n, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0415659 - -358.5423659. Let g = 358 - s. Let h = -0.5 - g. What is h rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.09 and -340?\nAnswer: 339.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 12 = -z - z, 5*z - 80 = -3*d. Sort 6, 0, d in increasing order.\nAnswer: 0, 6, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00154831 rounded to six decimal places?\nAnswer: -0.001548","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((((-6)\/42)\/((-5)\/(-7)))\/(-1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 11:27 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -495 + 1195?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -403955 - -674842. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29455833 at least as big as -88367498\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4932829*f*h**2*t**3 + 346*f*h**2*t + 186*f*t + h + 2*t**2 wrt t?\nAnswer: 29596974*f*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 40\/5 + 5 + -18. Suppose 0 = 3*i - 3 - 0. Let j(m) = 5*m**2 - 3*m - i - 6*m**2 + 2 - 3. Determine j(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/(-20)*2\/2)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 8 + 12*n + 23 - 20*n + 0 + 7*n. What is t(0)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -9*b**2 + 0*b**3 + 0*b**4 + 21*b + 1\/60*b**5 + 0. Let s(g) be the first derivative of z(g). Determine s(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, u: 11, q: 1, z: 1}. Give prob of sequence uqg.\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 11 - 7*w**3 + 8*w**3 - 8*w**2 - 16*w**2 - 7. Let i be f(24). Let j be (-2)\/i*(1 + -1). Solve 2*v - 5*v = j for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-9)*v\/(v**(-26)*v) assuming v is positive.\nAnswer: v**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 440560*b + 881107. Determine k(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13 + 4b?\nAnswer: 5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -80.436 (b) 0 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30715\/10102092 + -9\/4004. Let o = 60586\/42891 - t. Solve 336\/17*z**3 - 8*z - 98\/17*z**4 - o - 78\/17*z**2 = 0.\nAnswer: -2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 5 + 1)*(2*y + 0*y - y)*(-1 + 6 + 0)*(-96 + 62 - 33) as g + x*y and give x.\nAnswer: 335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 36\/(-8)*2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0508*0.28\nAnswer: 0.014224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-984)\/738*(-3)\/(-4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uim when three letters picked without replacement from uimmiemmmmumuum.\nAnswer: 32\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 4*g = 2*g - 16, -3*l - 5*g - 19 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 82 and 6?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4 - 33*i**3 + 850*i**2.\nAnswer: -i**2*(i - 17)*(i + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 + -207\/11. Let v be 4\/(-6) - -1*1. Which is the nearest to v? (a) -0.2 (b) f (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 43993092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (1*(sqrt(3872) - (-3*sqrt(3872) - sqrt(3872))))**2*-6 + -1)*4.\nAnswer: -2323220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*t = -2, 3*n - 1 - 17 = 2*t. Factor -494*m**3 + 4*m**2 + 0*m + 2*m**4 - 6*m**n + 498*m**3 - 4*m.\nAnswer: -4*m*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, j: 12}. Give prob of picking 2 l and 2 j.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 10 = -2*i - 3*a, 3*i + 4*a = -1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 3) + -5 + -19 + 33\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195 = -9*y - 4*y. Solve -2*t + 2*v - 7*v = y, 3*t + 11 = 4*v for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.63 + 3.63. What is the third smallest value in k, -2\/5, -0.2, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34568, 138290, 311160, 553178, 864344, 1244658?\nAnswer: 1694120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0286*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4*u - 1027 = -0*u, -627 = -3*w - 3*u. List the prime factors of w.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8030926 is divided by 5616?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.2 + 2. Is j greater than or equal to 65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**5\/21 - 408*y**4 + 551264*y**3 - 556512992*y**2\/3 - 67230359840*y.\nAnswer: 2*y*(y - 1498)**3*(y + 210)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 - 0.1. Let j = -163 + 120. Which is the closest to -2\/7? (a) 4\/9 (b) y (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 218 + -176. Suppose -19*o + y = -12*o. Solve 2*t - 6*d + o = -4*d, 4*t + 28 = -4*d for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, f: 6, x: 4}. Give prob of picking 1 f and 2 a.\nAnswer: 63\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*l + 3*l. Let f be (-2)\/l*10 - 1. Suppose -f*h = -w - 56 - 84, w - 40 = -h. Calculate the remainder when h is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of 3*t**2\/2 - 32*t - 2052. Let o(m) = -m + 11. Give -17*o(p) - 6*u(p).\nAnswer: -p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -56 + 64 + 4 + -3 + 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122220211021 + -10?\nAnswer: -122220211101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2518188542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -7*j**2 + 8*j - 7. Let d(b) = -4*b**2 - 25*b - 12. Let u be d(-6). Let m(r) = 6*r**2 - 7*r + 6. Determine u*m(h) - 5*a(h).\nAnswer: -h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 12 - 30. Find the second derivative of -6 + 18*m - 7*m + 8*m**3 - o*m wrt m.\nAnswer: 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 64\/(-36) - 5\/(-30)*4*3. What is the nearest to 2 in 2\/23, 2\/7, v?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p + 4 + 26 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 - 2)*(2*i - 21 - 26 + 38) to the form k + r*i and give k.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a milligram in micrograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1930891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**2 + 4*i**2 + 139*i**3 - 146*i**3.\nAnswer: -7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1330 + 26?\nAnswer: 1356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 399885 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1191, 1190, 1189, 1188, 1187?\nAnswer: 1186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**3 + 2*y**3 - 7*y**3 + (2*y**2 - 2*y**2 + 2*y**2)*(-5*y + 4*y - 2*y) to the form h*y**3 + n*y + v*y**2 + b and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 114836 and 152.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -82\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1691 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.365958 kilometers in centimeters?\nAnswer: 736595.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 + 18920*q + 22372900.\nAnswer: 4*(q + 2365)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6714.989 nanograms in tonnes?\nAnswer: 0.000000000006714989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 17*z**2. Let k(o) = 15*o**2 - 3*o + 1. What is -3*k(d) + 2*n(d)?\nAnswer: -11*d**2 + 9*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/8)\/(3\/(-36)). Suppose 0 = -n*s + 19*s. Solve s*g - g = -5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 30964763 and 0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3810 a factor of 1663514580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -905 + 933. Calculate the greatest common divisor of h and 462.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 10*w - 7*w. What is the remainder when 95 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5226 (base 10) in base 13?\nAnswer: 24c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*m - 5*j, 0 = -5*m + j + 3*j + 5. Let d be ((-8)\/4 - -2)\/(-2). Let h = -1 + d. Sort m, h, -3.\nAnswer: -3, h, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000317726804 rounded to 6 decimal places?\nAnswer: -0.000318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**2 + t**2 - 2*t**2 - 4*t**2 + 1 - 1 + 3*t**2 + 0*t**2 - 4*t**2 + (-t**2 + 0*t**2 + 3*t**2)*(3 + 1 - 5) - 3*t - t**2 + 3*t - 64 + 22*t**2 + 64.\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151498202 is divided by 135?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-9)\/(9\/(-4))*373\/4?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by -348?\nAnswer: 5\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14 - 11 + 24)*(-3 - 32 - 2 + g) to the form q*g + k and give k.\nAnswer: -999","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 251\/4 - 63. Let m = -0.1 + 0.4. Which is the closest to 0? (a) m (b) -3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - (2 + 0 + 3). Let k = -63\/325 - 2\/325. What is the smallest value in 2, k, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.57 and 15693800.\nAnswer: 15693800.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(425)*-1*4*-2.\nAnswer: 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -13b79 (base 16) to base 5\nAnswer: -10041021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 265*y - 121*y - 144*y - 3*y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -262654 + -4?\nAnswer: -262661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -2, 1, 0.24?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6627 + -2750680.\nAnswer: -2750679.3373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -10*r - 2. Let o be v(-5). Let j be ((-465)\/12)\/(2\/o). What is j rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 21\/8 of a kilometer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 9*z**2 + 14*z - 20. Suppose 3*k + 12 = -j + 39, 5*j = -5*k + 55. What are the prime factors of l(k)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 251f1 (base 16) to base 11\nAnswer: a4267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 3*x - x)*(11*x**2 + 15*x**2 + 6*x**2).\nAnswer: -64*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10793?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t - 3. Let m(f) = 15*f - 15. Let d(u) = -2*m(u) + 11*q(u). What is the lowest common multiple of d(3) and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 197*l**3 - 196*l**3 + 11*l**2 - 46*l**2 in the form y*l**3 + o + b*l**2 + j*l and give b.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -8 - 2*x**2 - x**2 + 6 + 0 + x**3. Let j(m) = m**3 - 13*m**2 + m - 9. Let n be j(13). What is p(n)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - ((-3)\/7 - -3)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) - 4*sqrt(2448)*1 - (sqrt(2448) + sqrt(2448) + -1 + 0 + sqrt(2448))) + 5)**2.\nAnswer: -864*sqrt(17) + 88164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2897390664?\nAnswer: 2, 3, 7, 991, 5801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, y: 1, h: 2, d: 1}. What is prob of picking 1 d and 1 h?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -28. Let w = -17 + a. Let h(k) = -2*k + k**3 - 101 + 2*k - 10*k**w + 104. What is h(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -2*h. Suppose 20 = -2*q + 7*q. Suppose -y + 3 - 2 = -z, h = 2*y + q*z + 10. Let a(o) = 3*o**3 + o**2 + o + 1. Determine a(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 177, 182, 189, 198, 209, 222, 237?\n\"Answer: g**2 + 2*g + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**2. Let c(v) be the second derivative of 643*v**4\/24 - 315*v**2\/2 + 208*v. Let t(r) be the first derivative of c(r). Calculate t(d(o)).\nAnswer: -1286*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 31 = -q. Let y = 59 - q. Suppose y = -3*h - 4*o + 111, 4*h + o - 89 = 0. What is the remainder when 39 is divided by h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/29832 and -133\/29832.\nAnswer: 29832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01574952 to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 7*c - 1952. What is i(50)?\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 7724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**2 + 67 + 28 - 117 + 25. Let u(x) = 6*x**2 - 8. Calculate 8*o(h) + 3*u(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/269 in 0.27, -2, -5, 2?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1331116.659 + 1329809. Let p = -1309.259017 - t. Let j = 1.6 + p. What is j rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*p**2 + 2*p**2 + p**2)*(-4*p**2 + p**2 + 2*p**2 + (-3*p + 2*p + 5*p)*(-1 + 1 - 2*p)) to the form i*p**3 + h*p**2 + w*p**4 + o + y*p and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -65, -0.37, 3, -2 in increasing order.\nAnswer: -65, -2, -1, -0.37, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 15. Let r = c + 13. Suppose -3*v - 4*l + 8 = -19, 0 = l - 3. What is the smallest common multiple of r and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 7:36 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 divided by 2?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xdxbx. Give prob of sequence bx.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 2996.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 9:16 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + -2)*-1 + 0 + sqrt(1100).\nAnswer: 2 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28.69 - 28.688327. Round g to 5 dps.\nAnswer: 0.00167","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 2. Let s be x\/(3 + -4 + 2). Let a(m) = m**3 - 5*m**2 + 3. Let n be a(5). Put -5, n, s in decreasing order.\nAnswer: n, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2*(sqrt(847)*1 + sqrt(847)) + 1)**2.\nAnswer: 13552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14635*u**3 - 8882 with respect to u.\nAnswer: 43905*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -871, -5074, -12081, -21892?\nAnswer: -34507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 849?\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-6)*(3 + 1 + -7). Suppose -s*a - 6*b + b = -73, -5*b + 25 = 0. Is 6\/4*22384\/a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 1:25 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -10172.2346 to 0 decimal places.\nAnswer: -10172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 71309 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2513118 rounded to two dps?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 815 + -821. Let y = 2 + -1.7. Which is the third smallest value? (a) y (b) 0.4 (c) l (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from behtrhrxbhrrbhbb. What is prob of picking 1 t and 1 r?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -5*t - 13. What is the second derivative of -v**t + 3*v + 0*v + 0*v wrt v?\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of -b**6\/120 + 7*b**5\/60 - b**4\/24 - b**3\/2 - 7*b**2. Let j = 3 + 3. Is k(j) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of f**4\/6 - 1072*f. Let w(l) = -190*l**2 - 3*l. Let n(h) = -189*h**2 - 4*h. Let u(p) = -3*n(p) + 4*w(p). Determine o(u(s)).\nAnswer: 74498*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -593\/9, 1\/2, 0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 0)*(0 - 1 - w + 2*w).\nAnswer: 3*w - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in five quarters of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-4*3\/(-336)). Suppose -3*b - 7 = -w. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -2*f - 5*z, -351 = -26*f + 3*f - 2*z for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i - 2, -32*i + 34*i + 16 = 5*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8266801 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -145 - 3*o + 9*o - 7*o + 2*o**3 - 3*o**3 + 3*o to the form f*o**3 + c + m*o**2 + v*o and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 11 = -c, 5*v = 25*c - 22*c + 28. Which is smaller: c or -3\/956?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77\/231*28\/3.\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-8)\/(-28))\/(150\/70)\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6, k: 13}. Give prob of sequence mmkm.\nAnswer: 65\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 449622*s + 538482*s - 218034*s + 119372*s.\nAnswer: 889442*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2860 + -2861. Let d(h) = -2*h**3 + 2*h**2 + 6*h + 5. Determine d(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eiei when four letters picked without replacement from eiioeexxieoieeeoee?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 - -32. Let t = -39 - -43. Solve t*f = s*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 5*y**4 - 10*y**3 - 65*y**2 - 50*y = 0.\nAnswer: -2, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 29416556063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d*h**4 - 377*d*h**2 + 59*d*h - 16934*d + 345*h**4 wrt h?\nAnswer: -24*d*h**2 - 754*d + 4140*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + h + 3801 = 0, -4403 = -3*t + 5*h + 1295. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8\/3 - -2. What is the closest to y in 2, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 14 = 6. Sort 0, 5, y in ascending order.\nAnswer: y, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 832725049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 58 = 2*b, 2*b = -0*m - 5*m + 59. What are the prime factors of m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4031 (base 5) to base 2.\nAnswer: 1000000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 140*h**3 + 4*h**2 - 4*h + 12. Let u(d) = -35*d**3 - d**2 + d - 3. Let c(t) = -2*k(t) - 9*u(t). Let x be c(-3). Round x to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/((q\/(q*q**(-15)*q))\/q))\/q**16 assuming q is positive.\nAnswer: q**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**2 - 17*m + 4. Give s(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14 from -61059.798.\nAnswer: -61073.798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 960930?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.14 + 0.14. Put w, -5, 0.4 in decreasing order.\nAnswer: 0.4, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -y + 692 - 144, -10 = 2*j. List the prime factors of y.\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4116 = -3*p - v, -108*v - 4116 = -3*p - 105*v. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-18) + 0)\/(195\/(-468)).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 0. Let g be 0\/h + 8\/1. Suppose -2*w + r + 13 = -g, 25 = -5*r. Calculate the least common multiple of 2 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29392, 0.5, 0, 1\/8 in descending order.\nAnswer: 0.5, 1\/8, 0, -29392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6251081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 55520 - 39001. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from dlbba?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 - 2*j. Let k be h(2). Suppose 5*f + k*f - 441 = 0. Let r = f + -49. Solve 4 = 4*t - r for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.2 - -6.4. Let j = -4.2019 + m. What is j rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -624, 0.5, -2\/7.\nAnswer: -624, -2\/7, 0.5, 34","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 570568, 570566, 570562, 570556, 570548, 570538?\n\"Answer: -f**2 + f + 570568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*((s\/s**(-5))\/s)\/s*s)\/s**(-3\/4))\/(s**(1\/3)*s**(-1\/11)\/s*s*s) assuming s is positive.\nAnswer: s**(727\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -712886 * 4\nAnswer: -2851544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 43 = 2*t - 4*t, q + 25 = 2*t. Let b(z) be the first derivative of -z**3\/3 + 13*z**2\/2 + 20*z - 679. Is b(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and -8988994.\nAnswer: -8988993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 460 - 440. Sort 2\/7, 2, n, -5 in descending order.\nAnswer: n, 2, 2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 86, 378, 850, 1490, 2286, 3226, 4298, 5490?\n\"Answer: -2*k**3 + 102*k**2 - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*a + 21*a + 15*a)*(-54*a**2 - 35*a**2 + 74*a**2 + 12) in the form t*a**3 + b + l*a**2 + p*a and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 939706 is divided by 167?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -22852 rounded to the nearest 1000?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -32*o. Let f be i(-1). Let c be 140\/(-595)*(161\/(-14) + 3). Put c, -1, 5, f in decreasing order.\nAnswer: f, 5, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x = 2*x - 14175. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = n - 20, -x = 7*n - 2*n - 70. Suppose 0*r = -r + 5*d + 54, 3*d + 73 = 2*r. What is the remainder when r is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 2 + -8 + -23 + 39 - 81.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2796311562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4312 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 534 by 178.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**4 + 33*t**3 - 69*t**2 - 33*t + 72 = 0.\nAnswer: -1, 1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (-2 + 0\/5). Let d be (8 - 95) + (n - 0)*1. Let r = d + 81. What is the nearest to -2\/7 in 4, r, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 2245326.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -167 - -168. Let s be ((8\/12)\/(-2))\/o. Let p = 1\/6 + 3\/2. Which is the biggest value? (a) s (b) 0 (c) p (d) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187*q**3 - 184*q**3 + 0*q**2 + 0*q**2.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33.7 - 34. Sort -3, j, 1\/7, 2\/5.\nAnswer: -3, j, 1\/7, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a centimeter in micrometers?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239235906?\nAnswer: 2, 3, 7, 13, 29, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 61348992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, g: 2}. What is prob of sequence zgzz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 8982.431 micrograms?\nAnswer: 0.008982431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dxm when three letters picked without replacement from {d: 5, g: 1, e: 7, m: 4, x: 2, r: 1}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/11? (a) 14\/5 (b) -2\/35 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 9\/8 (c) 187 (d) -2\/49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 7*g**2 - 6*g - 3. Suppose -6 - 12 = 3*v. Calculate i(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a - 15. Let v(s) = s + 6. Let o(c) = -5*r(c) - 12*v(c). Suppose -10*b + 1 = -9*b + 2*m, -4 = -2*b - 5*m. What is o(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*z**3 + 2*z**2 - 5*z**3 - 3*z**2 to the form w + g*z**2 + l*z + h*z**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -288*a - 293*a - 298*a + 883*a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6881\/2 or -3441?\nAnswer: -3441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-10))\/((437\/19)\/23)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/41))**(-1\/86) assuming p is positive.\nAnswer: p**(-1\/1763)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 1. Let v be b(1). Let s(u) = 0*u**2 - 6*u**2 + 4*u**v. Let y(w) = 0 - 3*w**2 + 0. Give y(s(p)).\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 5*h + 5 = 0. Let z(c) be the second derivative of 7*c**5\/20 - c**2\/2 - 2*c. Give z(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 7*t**2 - 3*t + 23. Let o be m(-6). Let j be (55\/70 - 8\/28)*-72. Sort j, o, -4.\nAnswer: j, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 327, 329, 333, 339, 347?\n\"Answer: r**2 - r + 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (18 - 21) - (-3 - -2)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, g: 3, l: 8}. What is prob of picking 2 l and 2 g?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 164*k**3 - 88*k**3 - 2*k**4 + 597*k - 78*k**3 in the form l + f*k**4 + x*k + b*k**2 + w*k**3 and give x.\nAnswer: 597","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 11:31 PM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 653126.2 centimeters?\nAnswer: 6531.262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2673527 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6301 - 3989 = d - 16*d. What is the least common multiple of 18 and d?\nAnswer: 6174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = w + 2*w - 13487, -b + 5*w = -6763. Suppose -2*t + 6*t = -16, 2*h - b = 2*t. What is h rounded to the nearest one hundred?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -260843.\nAnswer: -260843, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 161240 to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8669, -9753, -10843, -11939, -13041, -14149?\n\"Answer: -3*x**2 - 1075*x - 7591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -34155 - 2261?\nAnswer: -36446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*y**6 + 2592*y**4 + 2*y**2 + 363 wrt y?\nAnswer: 240*y**3 + 62208*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 6*r**3 - 11*r**2 + 7*r - 3. Let q(k) = -k**3 + k**2 - k - 1. Let m(u) = -f(u) - 5*q(u). Let v be m(6). Let x(z) = -z - 8. Determine x(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 844\/11 or 76?\nAnswer: 844\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 12. Let z(o) = 0 + 2*o - 1 + 20*o**2 - 3*o. Is z(f) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8302+-798\nAnswer: -9100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/23?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-w + w - 2*w)*(6 - 4 - 3) + (6*w + 6 - 6)*(2 - 3 + 3))*(3*w + w - 2*w).\nAnswer: 28*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 34, 13, -3 in decreasing order.\nAnswer: 34, 13, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t + 6. Let o be q(-3). Let y be (o + 45)\/((-39)\/(-52)). Calculate the greatest common divisor of 15 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1182\/13 or -819?\nAnswer: -1182\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -6*l - 18. Let n be -4*(1 + 2 + l). Let q(r) = -2*r + n + r - 16. Let i(g) = 2*g. Determine i(q(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(10 + -3) + -4. Let s be (n\/(-6))\/((-2)\/6). What is the highest common factor of 55 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -c72?\nAnswer: c6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.17 + 0.47. What is the closest to 0 in n, 60, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*k + 79 = -101 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 854804990?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -18542, -138, 15 in ascending order.\nAnswer: -18542, -138, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 0.4, 0.01, -4 in descending order.\nAnswer: 0.4, 1\/3, 0.01, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**3 - v**2 - 11*v - 7. Calculate j(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 106168738?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*r + 2\/7*r**5 + 15\/7*r**4 - 16\/7*r**2 + 24\/7*r**3.\nAnswer: r**2*(r + 4)**2*(2*r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -249.\nAnswer: -249, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 110\/165 - 5\/3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 597781119?\nAnswer: 3, 13, 227, 67523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000002035 rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.697 take away -1132138719?\nAnswer: 1132138711.303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11010001010010011100101 (base 2) to base 16.\nAnswer: -68a4e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 333\/202 - 15\/101. Which is the nearest to 3? (a) 3\/20 (b) -1 (c) 4 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - v - 4. Let s(m) = 108*m**2 - 162*m - 648. Let l(c) = -162*p(c) + s(c). Let g(f) = -f. Give l(g(z)).\nAnswer: -54*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 plus 7194314.89?\nAnswer: 7194315.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d6b44 - -1?\nAnswer: 1d6b45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -15*n**3 - 2*n**2 - 2*n + 1. Let r be i(2). Let d = r - -213. Let z = d - 51. Does 15 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396964183 a multiple of 6391?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -996, -2021, -3042, -4059, -5072, -6081?\n\"Answer: 2*u**2 - 1031*u + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28201*l + 6500*l - 10393*l.\nAnswer: -32094*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 4*k**2 + 4*k + 8. Let q be b(-6). Suppose -10*v + 6 = -8*v. Suppose v*t + t = q. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4199486, 8398971, 12598456?\n\"Answer: 4199485*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1448 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 32*o**2 - 431*o + 1213. Give u(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -4 + -4 + 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-220)\/(-165))\/(((-330)\/(-3))\/5).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3253, 35, 1 in descending order.\nAnswer: 3253, 35, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22604 and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.04428 nanograms to kilograms.\nAnswer: 0.00000000009704428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 143*k**2 + 168*k + 19. Let v be g(-2). Which is smaller: 249 or v?\nAnswer: 249","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*c + 2*j - 64, 268526*j = 268530*j for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 185756531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.005 - -0.005. Let x = 1.5 - 2. Which is the nearest to l? (a) x (b) -2\/7 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6674422517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191255 is divided by 256.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 92 + 300 = 0. Let m be (-756)\/a - ((-24)\/(-14) + -2). Let x = -22 - -31. Is m at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153732 + 65996 = 8*l + 60528. What is the thousands digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/1*(21 - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -5. Which is the third biggest value? (a) -0.1 (b) w (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 294.6 times 0.5?\nAnswer: 147.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(17) + sqrt(51)\/sqrt(3) + -3)**2.\nAnswer: -28*sqrt(17) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -5*f + 0*f + 2*f - 9. Let g = 39 + -41. Let t(q) = q + 4. Give g*w(z) - 5*t(z).\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t**3*t*t))**(13\/4)*t**5*t*t**(-2\/5) assuming t is positive.\nAnswer: t**(-83\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hm when two letters picked without replacement from {k: 2, h: 4, m: 1, p: 4, w: 6, y: 2}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 9, 5711 in descending order.\nAnswer: 5711, 9, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 - 48.6. Let f = 7 + -5. Sort f, a, 1\/5 in descending order.\nAnswer: f, a, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -5 - 7. Let h(a) = 14*a**3 + 2*a**2 + 2*a - 1. Let q be h(2). Suppose -21 - q = -x*z. Is z a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - (-3)\/9*-3. Suppose -y*k + 40 = -z, z - 28 = -2*k + 2. Calculate the greatest common factor of k and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 6*n**2 + 8*n + 4. Let w be b(-7). Let r(l) = -6*l**2 - 5*l + 0*l - l**3 + 4*l**2 - 3. Is r(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1408252648, 2816505295, 4224757942, 5633010589, 7041263236?\nAnswer: 8449515883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 2*y + 57 + 249, d = -3*y + 161. Suppose d = 6*z - 115. Calculate the remainder when 178 is divided by z.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -535*y + 329*y + 791*y.\nAnswer: 585*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**4 - 11213674*f**3 - 37503962*f**2 wrt f.\nAnswer: 24*f - 67282044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + 72\/(-20) - 4986\/(-10). Suppose -5*v = -4*k + u, -2*v - 202 = -4*k + 300. What is the greatest common divisor of k and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -203 + 205. Find the second derivative of 3*p**2 - 68*p + r*p**3 - p**2 - p**3 + 4*p**2 wrt p.\nAnswer: 6*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 621 and 138.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 207879 divided by 14?\nAnswer: 29697\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 38*r**2 - 75*r - 248. What is the remainder when t(35) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 15*b**3 - 3*b**2 + 10*b - 19. Let q be x(3). Suppose -15*d + q = -61. What is the greatest common factor of d and 390?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004856576 rounded to 5 decimal places?\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/6660 and -107\/792.\nAnswer: 146520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2366834 equal to 2366834?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of y**4\/4 - y**3 - y**2 + y - 1. Let s = -11 + 11. Suppose 5*l - 2*l - 9 = s. Give m(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -1.14. Let o = 676.86 - 671. Let i = o - w. Which is the third smallest value? (a) i (b) -0.3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/8 + (7\/((-672)\/(-1112)) - 12). Sort -3, -7, 5, j in ascending order.\nAnswer: -7, -3, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 47 = 3*i, -i = -4978*b + 4979*b + 14 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 87 - 59 = 0. Let g be (n + 4)*2\/(-10). Which is the fourth biggest value? (a) -5 (b) g (c) 2\/5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -31, -16, -4\/5, -0.2, 1 in descending order.\nAnswer: 3, 1, -0.2, -4\/5, -16, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/(-15)*(-27)\/6. Find the third derivative of 2*q**6 + r*q**2 + 0*q**6 + 4*q**6 wrt q.\nAnswer: 720*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - j**2 - 1. Let g(i) be the first derivative of 3*i**4\/2 - 5*i**3\/3 + i**2 - 5*i + 22. What is -g(z) + 5*v(z)?\nAnswer: -z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -26080, -46658, -67240, -87826, -108416, -129010, -149608?\n\"Answer: -2*r**2 - 20572*r - 5506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 198 (b) 1 (c) -1 (d) -79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 104949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-4)*14\/21*-9.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**3 + 3 - 3 + (-2*w**2 + 5*w**2 - 2*w**2)*(2*w + w - 2*w) + (-2 + 2*w + 2)*(0*w**2 + 5*w**2 - w**2).\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -40*b + 21 - 67*b + 51*b. What is the hundreds digit of v(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 420*h = -193*h - 25746 for h.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 + -10. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23602 (base 11) to base 15.\nAnswer: -a11d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-2) - 10\/(-4). Let l = 0.8 + -1. Which is the third smallest value? (a) l (b) -2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(5) + (3 + sqrt(405) - sqrt(405)))**2 + (3*sqrt(500))**2 + -4.\nAnswer: 6*sqrt(5) + 4508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 166, -58, 0, -5, 2, 4 in decreasing order.\nAnswer: 166, 4, 2, 0, -5, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -487634, -975277, -1462942, -1950635, -2438362, -2926129, -3413942, -3901807?\n\"Answer: -y**3 - 5*y**2 - 487621*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -2, 1, 4\/7, 56 in increasing order.\nAnswer: -2, 4\/7, 1, 11, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4422124 + 0?\nAnswer: 4422124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**4 + 4*h**4 - 3*h**4 - 2*h**2 + 5*h**5 + (h - h - h**2)*(-4*h**3 + h**3 + h**3).\nAnswer: 7*h**5 + 2*h**4 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.03 != -30566\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.0178 (b) 0.2 (c) -0.5 (d) -0.1 (e) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -4\/444687?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, y: 6, r: 2}. What is prob of picking 4 y?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 7. Suppose z = r - 1 - 6. What is the smallest common multiple of r and 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 5*g = -2*z + 21, 3*g - 3 = -4*z. Put -4, z, -2 in increasing order.\nAnswer: -4, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a2a74 (base 14) in base 2?\nAnswer: -111101001100010111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47 and 188.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3221 divide 291357557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27\/2 - -15. Let r = 57 - 60. What is the biggest value in n, 2, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -360893\/63952 - -3\/9136. What is the common denominator of s and 83\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*w**3 + 0*w**3 + 3*w**2 - 4*w**3 as v + x*w**3 + r*w**2 + y*w and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of q**5\/10 - 7*q**4\/6 - q**3\/3 + 7*q**2 + 71*q. Find k such that s(k) = 0.\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 6336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 913693?\nAnswer: 11, 83063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.06, 3, -4, -2, -0.6032?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r + 1. Let f(w) = w + 2. Let g = -13 - -18. Suppose -4*d + 17 = 5*k, 0 = -5*k - g*d + 9 + 11. Calculate k*f(l) - 3*b(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -16*r + 14. Let d = 14090 + -14087. Give m(d).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156512287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 3:54 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 645, 2192, 3739?\nAnswer: 5286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/4*-10*(-792)\/(-825).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 6*n**2 + 3*n - 5. Let v be u(5). Let k(a) = -a**3 + 4*a**2 + 5*a - 6. Let z be k(4). Calculate the highest common divisor of v and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -89.3 to the nearest integer.\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 7) + -4 - (4 - 18 - -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 3 = 3*d. Let k be (d\/(-4))\/(5\/(-30)). Suppose 0*y + k*y + 3*y**2 - 4 + y = 0. Calculate y.\nAnswer: -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -150097, -600368, -1350809, -2401420, -3752201, -5403152?\nAnswer: -7354273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1451335*b - 6918 - 2*b**3 - 11178 - 1451335*b.\nAnswer: -2*b**3 - 18096","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a**3 - 7*a**2 + 4*a + 1. Let b(k) = k**3 - k + 1. Let c(h) = -3*b(h) + w(h). Give c(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -72312 greater than -3109386\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 11*k**2 + 11*k + 2. Give j(-12).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 3:06 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 80 = -10*g. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j**3 - 6*j**2 - 7*j - 3. Let a(k) = -k**3 + 3*k**2 + 3*k + 1. What is 7*a(q) + 3*c(q)?\nAnswer: 2*q**3 + 3*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0*w + x - 126 = 0, 5*w - 325 = -5*x. Suppose d + 2*u - w = -2*u, 2*u = 8. Is d a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, q: 5, i: 4, r: 1, f: 5, t: 2}. What is prob of picking 1 r, 1 p, and 2 f?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/371 and -9\/4228.\nAnswer: 224084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*c + 0*c + 11550 = 0. What is the remainder when c is divided by 88?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrmggggrggmrrggm. What is prob of sequence gmrg?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-512)\/112 - (-4)\/(-7) and -77\/225?\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -128 - -128. Suppose -5*o - 5*n + 1935 = q, 0 = -10*n + 5*n. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - 3*y. Solve 0 = -3*r - y*r - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2940)\/630)\/((-6)\/27*-12)*24\/39?\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2224\/(-1946) + (-325)\/(-266))\/(6\/(-8))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 238 + -77. Let l = r - 136. Calculate the remainder when l is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 9:38 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h. Let x(q) be the first derivative of q**3\/3 + 5*q**2\/2 + 4*q - 3. Let b be x(-4). Let n(c) = b*c**2 - c**2 + 0*c**2. Calculate n(i(z)).\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 59. Let r be ((-1)\/(-8))\/(7\/i). Let d be ((-10)\/4 + 2)*-3. What is the biggest value in r, d, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(833) + (sqrt(833) - (sqrt(833) + -2 + sqrt(833)*2)) + sqrt(833))*3)**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.35 + -2.41. Let o = -0.19 - a. What is the nearest to o in 5, -2\/9, 2\/11?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55634385?\nAnswer: 3, 5, 3708959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8a2d + -95?\nAnswer: 8978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9, -204, -567, -1086, -1767, -2616, -3639?\n\"Answer: -x**3 - 69*x**2 + x + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 757 is divided by 24.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b + 2*b**2 + 2*b + 1)*(16*b**2 + 6*b - 10*b - 168 - 15*b**2) to the form j*b**2 + s + n*b + q*b**3 + p*b**4 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*2\/(-1) - -5. Suppose 4*l - 36 = -k, 5*l = b*k + 18 + 44. Suppose 9*u - 45 = 4*u. Calculate the smallest common multiple of u and l.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1837 - -1836.8. Which is the nearest to -3? (a) 16 (b) y (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-33)\/4)\/(15\/(-40)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**3 - j**2 + 16*j - 42. Determine f(3).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22*z**2 + 4*z**3 + 22*z**2)*(-10 - 4*z + 10) - 7*z**4 + 0*z**4 - 2*z**4 to q*z + c*z**4 + u + a*z**3 + x*z**2 and give c.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 17*t - 918. Let w be u(54). Factor 14\/9*n**4 + 2\/9*n**5 - 32\/9*n**2 + 0*n + w + 16\/9*n**3.\nAnswer: 2*n**2*(n - 1)*(n + 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1134640, 1134647, 1134654, 1134661, 1134668, 1134675?\nAnswer: 1134682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2\/21, 4, 13 in descending order.\nAnswer: 13, 4, -2\/21, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (2 - (-12)\/(-4)). Suppose d*t = -3*t + 18. Let n = 58 - 59. Which is the third smallest value? (a) t (b) n (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -133 - -113?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v + 11*v + 30*v + 29*v.\nAnswer: 78*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -1\/2*w**2 + 2 + 0*w. Let a(k) be the third derivative of -k**5\/60 + 6*k**2. Calculate r(a(d)).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -1 - 1\/10*l**5 + 1\/6*l**4 + 0*l**3 - 6*l + 0*l**2. Let y(w) be the first derivative of u(w). Factor y(h).\nAnswer: -2*h**2*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/2, -0.3, -2, 18?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.75 - 0.25. Let x = -45 + 27. Let y = x + 13. What is the closest to -0.1 in t, -0.3, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 33.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 13305\/23949 + 338\/(-9)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-8) - 1518\/(-1104). Suppose -3*q + 6 = 0, -5*l + q - 5*q = -33. Put 3, -13, b, l in increasing order.\nAnswer: -13, b, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32746.\nAnswer: 2, 7, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52882 + -26849. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1283, 4849, 10705, 18851, 29287?\n\"Answer: 1145*f**2 + 131*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -135434.839654 + 135436. Let g = t - 1.16. Round g to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aqq when three letters picked without replacement from {a: 3, q: 5}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1224*w - 10092 - 65796 = 0 for w.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1722652 (base 12) to base 15.\nAnswer: -644642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4662225.644 rounded to the nearest 100000?\nAnswer: 4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 8) in base 2?\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35213*o**2 - 5*o + 5*o - 35208*o**2 - 35213*o**2 + 140801*o**2 - 35195*o**2.\nAnswer: -28*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*i + 74*k - 888 = -33*i, 12 = k for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -1\/629, 1.2 in descending order.\nAnswer: 4, 1.2, 0, -1\/629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10997932 to the power of 1\/2, to the nearest integer?\nAnswer: 3316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 2)*(-38)\/(-95). Let y = -178 - -182. Let q = 4 - 2. What is the second smallest value in q, y, o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76544853.4 minus 81.205?\nAnswer: 76544772.195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**5 + 4*n**5 + 4*n**5)*(0 + 2 - 3) + (-n - 5*n**2 + n)*(-n + n**3 + n).\nAnswer: -12*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43432329 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -h + 5, 2*h - 7*f - 19 = -8*f. Let r be (-3 - (-52)\/20)*25. Let z = r - -12. Solve -4*x + p = 8, 4*p - 7 - h = z*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2. Let l(a) be the second derivative of 2 + 1\/6*a**4 + 0*a**3 - 7\/2*a**2 - 2*a. Determine h(l(j)).\nAnswer: 8*j**4 - 56*j**2 + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 346 is divided by 59.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (77\/14)\/11*(22\/(-4) - -3).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.08, -5, -2\/31, -15, -2\/11?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -15*n**2 - 12 - 75*n + 3*n**3 + 0*n**3 + 38*n + 41*n. Does 10 divide z(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 7*g**4\/8 - 129*g**3\/8 + 85*g**2\/4 = 0.\nAnswer: 0, 10\/7, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xjj when three letters picked without replacement from {s: 2, x: 4, j: 8}.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -6*(sqrt(99) + sqrt(99) + (-1 + sqrt(99))**2 + 1))*1.\nAnswer: -611","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*b + 6 = 0. Suppose 3 - 11 = -8*m. What is the derivative of -2*n + b + 1 - m + 3*n wrt n?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41 (base 9) to base 8.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2039?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 + -31 - 15) + 11.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5189, -10388, -15587, -20786, -25985?\nAnswer: -31184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 944, -5, 2, 3, -173, 1.\nAnswer: -173, -5, 1, 2, 3, 944","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66862247 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 263254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 318\/((-9)\/((-36)\/8)). Let s = z + -128. Calculate the least common multiple of 11 and s.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 1 = -2*l, l = 3*l + 3*k - 11 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158839 is divided by 110.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 400 - 195 = 5*u, 128 = -4*p + 4*u for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1147958053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-11)\/f**(-12\/5) assuming f is positive.\nAnswer: f**(-43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 37?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49 (base 10) to base 7.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w. Let x = 5 - 5. Let n be 0 + 0 + 0 - -4. Let m(s) = x*s + s - n*s. Calculate l(m(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -57665598*j**2 + 10131698*j?\nAnswer: -115331196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, k: 4, w: 7}. Give prob of sequence xk.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iwwe when four letters picked without replacement from uweaeiuwee.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 100*t**2 - 10*t + 9*t + t to the form u*t**2 + f + q*t and give u.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8328 is divided by 224?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1965139451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -54 and 5.5.\nAnswer: -297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-374)\/(-14) - (9 + (-585)\/63). Let l be ((-9)\/(-2)*12\/z)\/1. Solve -4*u = j + 22, -j + 6*u = l*u - 18 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 8 = 44. Suppose -2*k = y*k - 30. Sort -10, -2, k in descending order.\nAnswer: k, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-57)\/(-12) - ((-46)\/(-8) + -6). Put 4, -219, c, 0 in ascending order.\nAnswer: -219, 0, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 3325921?\nAnswer: -3325925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 6*b + 11. Let j be l(-14). Is (-8)\/4*j\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 + -6 - (-9 - -10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 699 + -3496\/5. Which is the fifth biggest value? (a) -0.001 (b) -1\/7 (c) -2 (d) r (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -c**4\/24 + c**2. Determine y(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002371 to 4 dps.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -146970 (b) -5 (c) -0.1 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (93*x**4 + 261*x**4 + 11*x**4)*(-1 + 0 - 5) to t*x**2 + s*x**4 + j*x + m + c*x**3 and give s.\nAnswer: -2190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c + 2*f + 5124 - 5138, -4*f - 2 = -c for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1808735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cccc when four letters picked without replacement from qcccqqcqsqc?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h + 4. Let s(k) = -132*k - 1845. Calculate the remainder when z(0) is divided by s(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 3*i**2 + 49*i + 58. What is the tens digit of q(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 53, 452, 1537, 3656, 7157?\n\"Answer: 58*u**3 - 5*u**2 + 8*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 652.7 and 1.5502.\nAnswer: 1011.81554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 = 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-74)\/(-111)*(-46)\/(-4)?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/2)\/(b\/(b*b\/b**(-2\/39))*b) assuming b is positive.\nAnswer: b**(-35\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 110?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 128 + -118. Solve 5*d = 2*i - 2, 2*d + 2*i + n = -2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + 4 + 33 + -11 + -37.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -275*k - 7700. What is b(-28)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 2*o - 7084 + 7100, -3*o + 2*c - 14 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6845, 13704, 20563?\nAnswer: 27422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 4. Let h = 11\/95 - 6\/19. What is the second biggest value in -2\/5, h, v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and (0 - 7)*(4 + 1)\/(-5)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 53*l + 414. Give f(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**4\/2 - 104079*o**3\/2 + 208149*o**2\/2 - 104073*o\/2.\nAnswer: 3*o*(o - 34691)*(o - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/((-525)\/(-12)))\/(17 - 1859\/110)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.6417 - 0.018?\nAnswer: 12.6237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3aa - 5aa?\nAnswer: -998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 369*w - 175*w + 88 - 232*w. What is l(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/17)\/n**(-5\/4))**(-39))**30 assuming n is positive.\nAnswer: n**(-54405\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0023654 to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -470*p - 3818. Is d(-23) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z**3 - 19*z**2 - 4. Let j(u) = 2*u**3 + 13*u**2 + 3. Suppose 0 = -t - f - 1, 17 - 13 = f. Calculate t*q(y) - 7*j(y).\nAnswer: y**3 + 4*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -648012 divided by -6\nAnswer: 108002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 7:38 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-24)\/(-105))\/(-4)*(-28)\/12. Let h = -0.291 + 0.041. What is the closest to -1 in h, 4\/3, j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -3*w + 5*z, -698*w + 76 = -702*w - 8*z for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, a: 1, q: 2, d: 1}. What is prob of picking 1 q and 1 p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1095 and 3537580?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 25 = 5. Suppose 2*w - r*w = -4*l - 446, -740 = -5*w + 5*l. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38230.\nAnswer: 2, 5, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1456419 and 693129.\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 513 + 5?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 1622*m + 30819. Calculate d(-19).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 608*b**3*p*s**3 - b**3*s**2 - 13*s**3 + 11 wrt p.\nAnswer: 608*b**3*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1026 - 1020. Let t(m) = 7*m**2. Let j(c) = c**2 - 3*c + 3. Let o be j(2). Let a be t(o). Which is bigger: v or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5400000 to the nearest 100000.\nAnswer: 5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9580729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/30 and 101\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5274a5 - -3?\nAnswer: -5274a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 291\/6 + (-385)\/154. Solve k*i - 63*i = -119 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07003014 to three decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -139452*t**4 - 3*t**2 + 631*t + 1?\nAnswer: -3346848*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -8.136601.\nAnswer: 3.2546404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -3.44. Let h = v - -6.34. What is h rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22176 = -461*j + 629*j. Suppose -y + 4 - 1 = 0, y = 5*v - 657. Let o = j + v. Is o smaller than 2\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of f**8\/10080 - f**7\/420 + f**6\/40 - f**5\/15 + 2*f**2. Let i(z) be the third derivative of k(z). Suppose i(h) = 0. Calculate h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 296?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 12.8177154ms?\nAnswer: 0.0000000211933125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 10*r**2 - 2*r - 20. Let q be x(-10). Solve q = -0*d + 5*d + 4*v - 4, 5*d = v + 24 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -49694*f**2 + 608*f - 231724504 wrt f.\nAnswer: -99388*f + 608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2149280, -4298563, -6447848, -8597135?\nAnswer: -10746424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -3*x - 6. Let l(b) = b**2 - 3*b + 6. Let u be l(2). Find the third derivative of -2*z**u - x*z**4 - 4*z**2 + 7*z**2 wrt z.\nAnswer: -192*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 7:53 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 1000*v - 5686. What is j(4)?\nAnswer: -1686","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 408563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 11*d + 8. Let u be z(-7). Is 13 a factor of (-19 - u) + 3\/((-3)\/(-194))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*k + 512*k**3 - 22*k + 508*k**3 + 492*k**3 + 465*k**3 - 1970*k**3.\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/17)\/(a\/(a**6\/a))*a\/(a*a**(-2\/15)\/a)*a**1)\/((a*a**7)\/a*a*a*a**(-2)*a*a**(-5)\/(a\/a**(1\/5))) assuming a is positive.\nAnswer: a**(1018\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 219*o**6 + 801*o**2?\nAnswer: 26280*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -3 (b) 0.1 (c) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = k + 278 - 277, 4*z = -k + 7 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 170 - 232 = -4*m, 0 = -d + 2. What is the highest common factor of 28 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -s**5\/20 + 7*s**4\/12 + 7*s**3\/3 - 3*s**2 - 31*s. What is the least common multiple of g(8) and 22?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*j - 20*j - 27945 = 0. Is j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f - 2 - 2 + f)*(-8314 - 8272 + 16742)*(-3*f**2 + f**2 + 0*f**2) to the form b*f**2 + g*f**3 + s*f + o and give g.\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8050770 divided by 4095.\nAnswer: -1966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 80261\/12 - 6683. Calculate the common denominator of -53\/74 and j.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -15. Let r(i) = -5*i**2 + 2*i - 5. Let u(h) = -h**2 - 1. Let b(c) = f*r(c) + 4*u(c). Factor b(z).\nAnswer: (z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67127 + 67128. Let j(v) = v**2 + 2*v + 2. Let r be j(-2). Which is the closest to 3? (a) u (b) r (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jxjjxjxjjjjjjxjjxj. What is prob of picking 2 j and 2 x?\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r + 1 - 1 + (-1 - 2 + 5)*(3*r + 2*r - 4*r) + 3 + 12*r - 14*r - 2 - 2*r + r - r + (-2 + 4 + 0)*(-2 + 2 - r) - 1 + 1 - r.\nAnswer: -3*r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1, 29, 101, 221, 395, 629?\n\"Answer: f**3 + 15*f**2 - 22*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 14 + 5 = 0. Suppose 0*p = 5*p + 105. Let n = f - p. Solve -7*m = -n*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 93835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16441*s**3 + 6166*s wrt s.\nAnswer: 98646*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(105)\/sqrt(3) - sqrt(35)))\/(sqrt(180)*6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 246584350 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 e when four letters picked without replacement from {e: 5, x: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -97 + 99. Sort -31, 0, 0.5, j.\nAnswer: -31, 0, 0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3)\/((-8)\/168 - 6\/63)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 26*q**3 - 2*q**2 - 2*q + 25. Let r(s) = -53*s**3 + 5*s**2 + 5*s - 50. Let g(d) = -2*r(d) - 5*w(d). Find the first derivative of g(p) wrt p.\nAnswer: -72*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-28)\/21 + 352\/3. Let t(b) = 2*b - 2*b - 20 - b**3 + 115*b**2 - j*b**2. Suppose 3 = -4*o + 3*q, 3*o + 5*q - 42 + 37 = 0. What is t(o)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -u**6\/3060 - u**5\/170 - 5*u**4\/204 + 7*u**3\/6 - 12*u**2. Let b(k) be the first derivative of i(k). Let b(z) = 0. What is z?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = -124*k + 95*k + 3*j, 9*j + 0 = 18 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 108684000 rounded to the nearest 1000000?\nAnswer: 109000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 12*c**2 - 83 + 97 + 43*c**2 - 9.\nAnswer: 31*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6.873 and 63705733.\nAnswer: 63705726.127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t**2 - 2*t - 1. Let s = -3 + 5. Let o be (-1 + s + -2)\/1. Let q be y(o). Does q = 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 7:27 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(68)\/sqrt(2))\/sqrt(2).\nAnswer: 4 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fxxgxgxgggixpiggixp. Give prob of sequence xp.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 6. Let a = -8 + 23. Suppose 3*m - 3*k + a = 4*m, 2*m - 21 = -3*k. Let x be z(m). Let b(s) = s + 9. What is b(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -814 times 0.9?\nAnswer: -732.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 10) to base 13.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m**3 - 2*m**3 + 4*m**3 + (2 + 3 - 8)*(5 + 1 - 4)*(m**3 + m**3 + 9*m**3) - 31*m + 31*m + 5*m**3 as c*m**3 + b + n*m**2 + k*m and give c.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-18))\/((-4)\/64)?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j**2 - 480*j + 46. Let z(o) = -4*o**2 - 482*o + 54. Give -7*i(n) + 6*z(n).\nAnswer: -3*n**2 + 468*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -43 * 126.02\nAnswer: -5418.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/128 and -91\/17489798.\nAnswer: 1119347072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/4)\/((-2)\/(-64)). Suppose 3*r + r = -u. Let y be (-3)\/r + 87\/6. Solve 4*q + y = -q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 68520*m - 68501*m + 969 for m.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 329022 divided by -54.\nAnswer: -6093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 438 + -281. Is u at most 161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101 + -2201222?\nAnswer: -2201121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 24*w**2 + 6*w - 256. What is q(-25)?\nAnswer: -1031","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 - 344598*g - 9895648467.\nAnswer: -3*(g + 57433)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x. Let o(l) = 3*l - 21. Determine o(d(n)).\nAnswer: -3*n - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -379852, -379867, -379882, -379897, -379912, -379927?\n\"Answer: -15*t - 379837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4068 divided by 6\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/5*2*5\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-6))\/(3\/(-9)). Let l(g) be the first derivative of 0*g + 0*g**3 - 1 + g**c - 1\/2*g**4. Find the second derivative of l(i) wrt i.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000867368 to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - z**2 - z + 8. Let s be q(0). Solve -s - 12 = 5*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-12) - 130\/(-60). Let t(y) be the first derivative of 2\/3*y**3 - 1\/2*y**4 + 0*y**p + 0*y + 1. Factor t(q).\nAnswer: -2*q**2*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02637 - 0.12\nAnswer: -0.14637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1200753.4 to the nearest ten thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 123991107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -10 times 19727771\nAnswer: -197277710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 + 22*l - 16. Let t be g(10). Suppose 2 - 24 = -4*y - 2*v, 0 = -t*y + 2*v + 26. Is (-8)\/48 - (-5)\/y*737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -5*y**3 + 2*y**2 - 2*y - 2. Let w(g) = 10*g**3 - 5*g**2 + 5*g + 5. Suppose 44 = -4*k + 15*k. Determine k*w(h) + 10*p(h).\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 8*m + 4. Let a be u(6). Let v be ((-217)\/(-28))\/((-2)\/a). Let w = 51 - v. Calculate the lowest common multiple of w and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23343 (base 7) to base 16.\nAnswer: -1779","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by 221.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t + 0*t + 5*t + 4*t.\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9984 + -5.\nAnswer: -9989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -6*g**2 + 189*g + 100. What is d(32)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -520\/7 - -74. Let f be 13\/(455\/(-154))*15\/(-6). Suppose -30 = -17*l + f*l. Which is the nearest to -0.1? (a) o (b) l (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-2) + 695\/10. Let h be (-6)\/(-15) + (-48)\/p. What is the closest to h in 5, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 2*b + 5*b - 2*b + 1 - 1 + (0 - 2*b + 0)*(-4 + 2 + 0) + 2*b + 0*b - 5*b - 2*b + 2*b - 2*b)*(6*b + 9*b + 2*b).\nAnswer: -34*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -220*b + 1832. Calculate r(12).\nAnswer: -808","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffpp when four letters picked without replacement from {f: 9, p: 10}.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62176 is divided by 194?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 0*q = 35. Let g be (4\/14)\/(3\/q). Which is the nearest to 0? (a) -2 (b) g (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -3\/72680?\nAnswer: -3\/72680","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 7) to base 16.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 604.0704mg?\nAnswer: 0.0000006040704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3893e (base 16) in base 5?\nAnswer: -24403432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 710 is divided by (-16 + 1)*(-26)\/52*1398\/15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40 - -39.7. What is the second biggest value in 1, y, 0, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrbrbbbrrbbrrb. What is prob of picking 2 b?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**3 + k**2. Let q(w) = 4441*w**3 - 3*w**2. Give 6*o(u) + 2*q(u).\nAnswer: 8870*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/18)\/(((-5)\/4)\/5).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5*g + 5144 = -4861, -5*x - 4*g + 10032 = 0. What is the tens digit of x\/27 + 3 + (-58)\/18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 - -53?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by 33668725.\nAnswer: 3\/6733745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in centimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -362*j - 219*j**2 - 394*j - 367*j + 1125*j.\nAnswer: -219*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 69482\/6 - ((-70)\/15 + 4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3 + ((sqrt(504) + sqrt(504)*2 + sqrt(504))\/sqrt(9))\/sqrt(8) + (2 + (-2*sqrt(7))**2 - sqrt(49)\/sqrt(28)) + 4.\nAnswer: 7*sqrt(7)\/2 + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**2*m*z + 2*b**2*z**3 + 882*b**2*z**2 + 2*b*m - 816*m*z**3 + 2*m wrt b.\nAnswer: -4*m*z + 4*z**3 + 1764*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 26*f**3 + 30*f**2 + 7*f + 1. Let h be r(-3). Let s = h - -1407. What is the remainder when s is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173*u + 92*u - 7*u + 16*u.\nAnswer: 274*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fs when two letters picked without replacement from {r: 2, z: 8, s: 2, f: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-43)\/30 - (-2)\/(-3) and 25\/(-5) + 108\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of 17*g**5\/20 + 4*g**2 - 13. Let p(f) = 7*f**2. Determine p(u(c)).\nAnswer: 18207*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-20))\/((-45)\/(-90))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8, -9, -10?\n\"Answer: -a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -12, -16, -28, -54, -100, -172, -276?\nAnswer: -418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12752 + 3*q**3 - 12752.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/3*1161\/3870.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 10*y - 15*y - 20*y.\nAnswer: -25*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 312 (base 5) to base 3\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 23*p**2 + 4 + 0.\nAnswer: 23*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 82 = -2*i, 3*i - 4*d = -i + 136. What is the highest common divisor of 12 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9105, -18628, -28571, -38934, -49717, -60920?\n\"Answer: -210*w**2 - 8893*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -10*z + 77. Let k(f) = -f**2 + 9*f + 34. Let g be k(13). What is the tens digit of x(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 48?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9316 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) + sqrt(136)*2)*-2)\/sqrt(8).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.617060318 to 2 decimal places.\nAnswer: -2.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 426477210?\nAnswer: 2, 3, 5, 421, 33767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9434 and 178?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 995783?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 469*c**2 + 5*c - 9. Calculate the remainder when t(-2) is divided by 124.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b - 9. Let x be i(-12). Find the second derivative of -k**3 + k + 2*k - k**x + 0*k wrt k.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-six fifths of a millennium in centuries?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 357438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2576190*a*p**3*w**3 - 2*a*p**2*w**3 + a*p**2 + 2*a*p*w - 555765*a*w**3 + p wrt p.\nAnswer: 15457140*a*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -317 + 593. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 350*p - 64. Let c(x) = 352*x - 51. Give -5*c(r) + 4*h(r).\nAnswer: -360*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4320208213 a multiple of 2529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 137.354 + -136.354. Let d be ((0\/(-1))\/1)\/(-1). What is the closest to f in 5\/4, d, -0.5?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 3*i**2 - i + 1. Let m be r(-2). Let t(x) = x**3 - x**2 - 2*x + 1. Let n(y) = y**2 + 1. Calculate m*t(k) - n(k).\nAnswer: -k**3 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 2 + -103 + -12 + (12 + 2 - 14)\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {g: 7, h: 9}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 16*r**2 - 6*r + 2. What is the hundreds digit of j(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -873 + 69*o - 1061 + 1934 - 188*o.\nAnswer: -119*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(900) - sqrt(72)\/(sqrt(8) + 1*sqrt(8)))\/(sqrt(36)\/(sqrt(192)*-1 - sqrt(12))*2).\nAnswer: -395*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 170590461?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -84891947*v**5 - 633462*v**2 + 5.\nAnswer: -5093516820*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6226241 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16\/335 - 14153\/335. Let n = 42 + q. What is the nearest to 1 in -2\/13, n, -1\/2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(((-60)\/8)\/(-15)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 607*k + 3*k**2 - 607*k + k**2 - 38 to g + m*k**2 + j*k and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2561 divided by 440.\nAnswer: 2561\/440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 3)*3193260\/(-168). What is m rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-2)*(5 + -3). What is the smallest common multiple of (-27)\/(w + -6) - 3 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4\/5 + 15574*s**3\/5 - 8083944*s**2 + 34949574176*s\/5 + 34990009472\/5.\nAnswer: -2*(s - 2596)**3*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.7369 - -404.5?\nAnswer: 360.7631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 30\/9 - (-3)\/(-9). What is the nearest to -1 in -0.05, h, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yggx. What is prob of picking 1 x and 3 y?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j**2 + 3*j**2 + j**2)*(-j + 113 - 18 + 2) to n + d*j + a*j**2 + h*j**3 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 644007 + -15?\nAnswer: 643772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - w + 0*w + 0*w)*(-23*w + 26*w - 18*w).\nAnswer: 15*w**2 + 30*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 950647, 950652, 950657?\nAnswer: 950662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(((y*y**(5\/6))\/y)\/y*y))\/y**(-5))\/(y**5\/(y*(y*y\/(y\/((y*y*y\/y**(3\/5))\/y))*y*y)\/y))*(y**(-1\/4)\/y*y**(2\/5))**(-2\/129) assuming y is positive.\nAnswer: y**(2954\/645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -6*u - 26, 4*u = -11*b + 12*b - 10 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5487.574 centuries?\nAnswer: 6585088.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, d: 2, z: 3, p: 7, v: 1}. What is prob of sequence dvd?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 556*d - 2 - 3 + 5.\nAnswer: 556*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 749 is divided by 118?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4857878 is divided by 374?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*c + 303 = 19*c - 157. Calculate the lowest common multiple of 240 and c.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sisi when four letters picked without replacement from ssis.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -7*j**2 + j + 2. Let i be d(3). Find the common denominator of 101\/8 and (i\/12)\/(28\/(-42)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*b**5 - 7*b**2 - 148*b?\nAnswer: -240*b**3 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19*a**2 + 2113*a + 444.\nAnswer: (a + 111)*(19*a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-5*(sqrt(66)*-1*-3)\/(1*(sqrt(12)\/sqrt(2) + sqrt(6)) - sqrt(6))*2.\nAnswer: -30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*4*(-1*(1*sqrt(152) + sqrt(152)) - sqrt(152)))\/(sqrt(56)\/sqrt(7)*-3 - -5*sqrt(200)))**2.\nAnswer: 10944\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 2*h**2 + h - 6. Let y(v) be the third derivative of v**3\/6 + 29*v**2. Let p = 0 + 1. Let c be p*1\/(-1)*1. What is c*l(a) - 6*y(a)?\nAnswer: a**3 - 2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millennium in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39284 + -153403\/4. Is z <= 934?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 522743851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/(-4) + (-9)\/(-36). Suppose -129 = -s*i + 499. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1\/(-6) + (-549)\/(-54) and 316?\nAnswer: 1580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + g**2 + g - 1. Let m be v(-2). Suppose 85 = m*z - 4*z. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1250839670*q**3*t**3 + 2701554*q**2 - 26*q*t**3 wrt q?\nAnswer: -7505038020*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7266, -14533, -21800?\n\"Answer: -7267*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**2 - 2*i**2 + 0*i**2. Let n = -37780 - -37781. Let y(o) = -4*o**2 - 3*o. Calculate n*r(p) + y(p).\nAnswer: -3*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(5 - 2) - -3. Suppose -u*d = -5*y - 2, -2*d + 3*y = -6*d - 7. Put d, -2, 2 in descending order.\nAnswer: 2, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**4 + 514*n**3 + 258*n**2.\nAnswer: -2*n**2*(n - 129)*(2*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, v: 1, q: 1, m: 2, h: 2}. Give prob of sequence vo.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 105\/2 + -521\/10. Which is greater: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.156104 to two decimal places.\nAnswer: -1.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84 + -75 - (6 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 3*g**2 + g - 4. Calculate q(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -553*v + 6640. Let n be u(12). Solve -15*t = -18*t - 3, -3*s + n*t = 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 62552368?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 7, -89, 2\/3, 2 in ascending order.\nAnswer: -89, 2\/5, 2\/3, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46 and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, a: 4}. Give prob of picking 1 a and 2 w.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 57*u**2 - 2522*u + 2466. Give o(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -4*g**2 - 6*g - 2. Let w = 7 - 12. Let a be i(w). Let z be ((-280)\/12)\/(2\/a). What is z rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -979*g - 3. Let b(j) = 10*j. Determine 5*b(d) + c(d).\nAnswer: -929*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2*k + 1680 = 0, k - 1927 = -5*c + 173. What is the smallest common multiple of c and 84?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 5*t**3 - 3*t. Let s(y) = -y**2 + 4*y. Let k be s(5). Let c(a) = 10*a**3 - 5*a. Determine k*i(p) + 3*c(p).\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 4.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 79 + (-17 - (-15 - -6)) + 5 + -10 - -10?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*u**5 - 952*u**3 + 5012*u**2 + 6*u wrt u.\nAnswer: -120*u**2 - 5712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 37 = -2*r, -53047*b - 2*r = -53045*b + 64 for b.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/4 + (-7752)\/(-16). Let q = x + -233. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 9 = -2*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 15818 times -930\nAnswer: -14710740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5 - 2 - 2 + 2*v + 3 + 12. Calculate i(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1224259520)\/(-528))\/((-12)\/(-9)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3006686382?\nAnswer: 2, 3, 7, 3581, 19991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 15*w**2. Let j(c) = 4*c**2 + c - 2. Suppose -7*d = -4 - 3. Let y(i) = i**2 + i - 2. Let r(z) = d*y(z) - j(z). Calculate q(r(k)).\nAnswer: 135*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41375376*n**3 + 5*n**2 + 9672415*n wrt n.\nAnswer: 248252256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - p + 40 = 3*v, -4*p = -4*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 330*i**2 - 7*i. Let n(c) be the first derivative of 166*c**3\/3 - 3*c**2\/2 + 70. Let m(g) = -7*n(g) + 3*q(g). Let p(t) = 2*t**2. What is p(m(v))?\nAnswer: 59168*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9844 and -41.77?\nAnswer: 411183.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 284376707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n**3 + 3*n**2 - 20. Let b(w) = -w**3 - w**2 + 1. Give 3*b(g) + u(g).\nAnswer: g**3 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -173 - -312. List the prime factors of m.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(833) + ((0 + sqrt(833))*5 - sqrt(833)))**2 - sqrt(833)).\nAnswer: -28*sqrt(17) + 83300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3 + 4 = 0. Let u = 2737 - 2576. What is the highest common divisor of l and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (63\/(-9) - 9) + 150 is divided by 50.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1bb69 (base 12) to base 15.\nAnswer: -c409","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -0.021, 2?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 8. Let v(w) = 4*w**2 + 2*w - 1. Let j be v(1). Let a = -4 + j. What is the remainder when r is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*u + 74, -5*t + 79 = -2*u - 291. Does 25 divide -5 + 1 - (-5 - t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137.3 less than -1246632.52776?\nAnswer: -1246769.82776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 488708 is divided by 1042.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-48)\/(-54))\/(4\/(-6)). Let n = 0.15 + -0.15. Which is the closest to n? (a) y (b) -5 (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.224 + 0.066. Let v = t - 0.289948. What is v rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 6*q**2. Let d be x(6). Suppose d*b = -5*b + 10. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20684761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*20\/(-135)*9. Let n(u) = u**3 - t*u**2 + u + 10*u - 6*u + 0*u. Calculate n(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**3*n**(-3\/5))\/(n**0)**(1\/5))\/(((n*n**1*n)\/(n\/(n*n*n*n**(-4))))\/(n**1*n*n**(-2\/5)*n)) assuming n is positive.\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 + 15*z.\nAnswer: -5*z*(z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c + 2*c - 7*c + c - 3.\nAnswer: -4*c - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, -15697, 0.05, -4, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011111100110111101 (base 2) to base 5.\nAnswer: -131410012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/509, 2, 0.2, -1, 4, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -425 (base 12) to base 2\nAnswer: -1001011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away 424834?\nAnswer: -424834.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a second in milliseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3534 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74 = -25*z - 73*z - 122 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-1))**33\/(h**1*h)**(-16\/5) assuming h is positive.\nAnswer: h**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -3 (c) 409 (d) -0.5 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/5)*u**4)**11*u**(3\/22)\/(u\/(u**(-1\/5)\/u)*(u\/(u*u\/u**(-1\/8)))\/u) assuming u is positive.\nAnswer: u**(4071\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*j**2*l*w - 139*j**2*w - 2*j*l*m*w - 2*j*m*w - j + 332*l*m*w + 2*m*w + 1 wrt l.\nAnswer: 6*j**2*w - 2*j*m*w + 332*m*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -28353*w**3 + 31668 wrt w?\nAnswer: -85059*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 839 + -5021\/6. Let j = q - 5\/3. Let f(p) = p**3 + 2*p**2 - p + 2. Let s be f(-3). Which is the second smallest value? (a) s (b) j (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2352\/(-352) + 7 + 4\/22. Put 2\/13, i, -22 in decreasing order.\nAnswer: i, 2\/13, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 + -19. Calculate the highest common divisor of 18 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvwh. Give prob of picking 2 v.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*n**3 - 76*n**2 + 180*n - 72.\nAnswer: 4*(n - 6)*(n - 3)*(2*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a**2 - 3*a**2 - 2*a**2)*(0*a + 0*a + a**2)*(-5*a + 289 - 289).\nAnswer: -5*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*-3 - (-8 - -7). Let b be v\/(-7) + -1 + 1. Solve d - b = -3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 307332997?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162267 = 4*b - 48185. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*j + 1656 = 71*j. What is the lowest common multiple of 30 and j?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 + 6 + 16)*(-12*w - 74 + 74)*(1 + 8 + 8) to the form t + a*w and give a.\nAnswer: -6528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3888693 - 3888693 - 17*y.\nAnswer: -17*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 72, 258, 632, 1260, 2208, 3542?\nAnswer: 5328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 302712559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 902667631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -5*d + 29, 4*d = 2*d + 10. Solve -2*i + r*z = -14, 0 = i - 6*z + 2*z - 19 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.1, 2\/7, -3\/14 in ascending order.\nAnswer: -2, -3\/14, -0.1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 19. What is the nearest to 0 in h, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*t = -11, 4*c = -t + 16 + 62. Let x = 19 - c. Solve 6*a - 2*a - 12 = x for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322834 is divided by 1745?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 574, 575, 576, 577, 578?\n\"Answer: m + 573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59157 or 946491\/16?\nAnswer: 946491\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + 11\/((-7293)\/306) + 6816\/(-442).\nAnswer: -15\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 = -11*z - 3*g + 2*g, 3*g = -8*z - 144 + 217 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 10*j**2 + 16*j + 5. Let w be z(-8). Suppose 3*f - 24 = -3*v - 0*v, w*f = -15. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + sqrt(5) + sqrt(180)*-1)**2.\nAnswer: -50*sqrt(5) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - 11) + 28 + 3 + (3 - -23).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.258812um in nanometers?\nAnswer: 8258.812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4659.28g to tonnes.\nAnswer: 0.00465928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -4, -2.\nAnswer: -4, -2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 278 and 15135154.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -b6704 (base 16) to base 10\nAnswer: -747268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 1125.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {u: 10, j: 2}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y**5 - y**5 + 3*y**5 - 4*y**5 + 0*y + 0*y + (-168 + 168 - 69*y**2)*(4*y**3 - 1 + 1).\nAnswer: -273*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -4, 6, -7, -16, -9 in ascending order.\nAnswer: -16, -9, -7, -4, 1\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*h + 115*h - 229*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 35*h**2 + 41*h + 231. Let y be d(-5). What is the highest common divisor of 68 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -276224551143552564.20000187 + 276224552570420508. Let l = b - 1426867971. Let j = 27.2 + l. Round j to 7 decimal places.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(11) + 1 + sqrt(11) + -1 + sqrt(11) + -3)**2 + 1 + (5*(sqrt(1584) + -1) - (sqrt(176)*1 + (1 + sqrt(11))*-1)).\nAnswer: 3*sqrt(11) + 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-98)*(-8)\/(-6).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 746491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 31, 34, 13, -44, -149, -314, -551?\n\"Answer: -2*o**3 + 17*o + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 4120803?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 75 + -64. Is 15 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h**2 + 5*h**2 - h**2 + 7*h - 5*h + 108852*h**4 - 2*h**3 - 108850*h**4 + 1 in the form l + m*h**4 + s*h**2 + u*h**3 + a*h and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -64 + 101. Suppose 9*y - i = 8. What is the second derivative of -15*x**y + 14*x - 5*x**5 + 18*x**5 wrt x?\nAnswer: -40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31360 divided by -784.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 489.4926 decades to millennia.\nAnswer: 4.894926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5021\/15 + 335. What is the closest to -2\/3 in 1\/3, 2\/3, f, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 496 - 491. Let h(k) be the second derivative of -1\/6*k**4 + 0 + 4\/3*k**3 - a*k + 0*k**2. What is the second derivative of h(u) wrt u?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 minus 1840?\nAnswer: -1860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 84120948 to the power of 1\/2, to the nearest integer?\nAnswer: 9172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1486642342 to the nearest integer?\nAnswer: 38557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/6)\/(1\/(-3)). Let s be (0 + (2 - 1))*0. Suppose s = 3*x + 9, -4*m + 13 = m - x. Solve c = -m*l + 3, -p*c - 4*l - 4 + 1 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1860455 = -9*d + 2*a, 318492 + 508371 = 4*d + 5*a. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 + (-10 - -12) - (-70 - -90)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1131754 by -14.\nAnswer: 565877\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -69*s + 13*s + 14 - 349735*s**2 - 45 + 349732*s**2. Determine r(-18).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3873767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29845 by 52.\nAnswer: 29845\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -d (base 16) to base 3\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/152, -2, 3\/16, -3 in decreasing order.\nAnswer: 3\/16, 1\/152, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4868.\nAnswer: 2, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -5*m + 9, -2 = y - m. Suppose 16*q + 12 = 108. What is the smallest common multiple of q and (-4)\/y*(-27)\/12?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3978, -6089, -8202, -10317?\nAnswer: -12434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vzczjyjjj. Give prob of picking 1 z, 1 c, and 1 j.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -179107, -179131, -179155, -179179, -179203?\n\"Answer: -24*v - 179083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -699896 (base 12) to base 9.\nAnswer: -3165056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1258363\/15 - ((-40)\/175 - (-2)\/21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d + 3. Let x(p) = 4*p + 9. Let w(l) = 26*l - 30*l - 1 - 9. Let q(j) = 3*w(j) + 4*x(j). Suppose 5*y + 184 = 97*y. Give y*q(z) - 5*n(z).\nAnswer: -2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 3*a**4\/5 - 198*a**3\/5 - 1053*a**2\/5 - 852*a\/5 = 0.\nAnswer: -4, -1, 0, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of d**6\/120 - d**5\/10 + 7*d**3\/6 - 14*d**2. Let s = -239 + 245. What is n(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2*u = -231 + 213, 2*f - 5*u = -16. Let z(w) be the second derivative of 0*w**f + 0 - 5\/3*w**3 - 9*w + 35\/12*w**4. Suppose z(t) = 0. Calculate t.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11929188 and 342?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.27 (b) -2 (c) 4\/43 (d) -1089\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(sqrt(5)*-1)*2)\/(sqrt(12)\/(sqrt(12)\/(1*sqrt(3))))*5.\nAnswer: -10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24028*t*z**2 - z**2 - 3*z + 18 with respect to t.\nAnswer: 24028*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 5:09 AM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6*(-2)\/(-9))\/(2\/(-9)). Let u be 5\/(-4) + m*(-3)\/(-24). Let b(h) = -6*h**3 + 2*h**2. Let w(y) = 3*y**3 - y**2. Give u*b(q) - 5*w(q).\nAnswer: -3*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 5)*(-r - 2*r - 3*r) + (-6*r - r - r)*(0 - 3 + 4) + (0*r - 2*r + 3*r)*(-2 + 0 + 3) + r + 2*r - 2*r in the form a + b*r and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-6*(((sqrt(475) + 0 - sqrt(475) - sqrt(475)) + 2 + sqrt(475))*-6)**2.\nAnswer: -4320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 644838 is divided by 107467.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -158, 1 in decreasing order.\nAnswer: 4, 2, 1, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwww. Give prob of sequence ww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 60. Suppose -4*w + 161 - h = 0. Suppose 11*g = 13*g - w. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*p - 1 = -21*p - n, 2*n = 4*p - 6 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(-9)\/189*24\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1993776 divided by 2?\nAnswer: -996888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -37713984 divided by -4?\nAnswer: 9428496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 2*b - 8. Let z be 6 + b + 0 - 0. Suppose -8 = z*f - 5*f. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 14\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (7 - (-12 - -7))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, 9, -5, -184, 7214?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 224*n + 21936. What is h(-100)?\nAnswer: -464","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l + 25 = 10 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -825024, -825361, -825916, -826683, -827656?\n\"Answer: s**3 - 115*s**2 + s - 824911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1128248*d + 4412102 wrt d?\nAnswer: -1128248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -3\/8, 1\/6, 409, 2, -1.5 in decreasing order.\nAnswer: 409, 2, 2\/9, 1\/6, -3\/8, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -25 - -75?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 18. Suppose y = -3*t - t. Let m be (1\/t)\/((-4)\/128). What is the highest common factor of 4 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 <= -312\/67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, f: 1, n: 2, b: 1, q: 1, s: 1}. What is prob of picking 1 p, 1 s, and 1 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 2*r**3 + r + 8. Give o(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - -7)*(-3 + 4). Solve 0*g = w + 3*g - 3, -4*g + y = w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g + 3550 - 3550.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 8 + p - 7 - 4*p**2 + 5*p**2. Let d be y(-2). Solve 2*r = -3*x - 10, d*x + 2 = -4*r - 6 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21895 is divided by 157?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t + 11. Let s be r(3). Suppose -6*k + s + 34 = 0. Calculate the lowest common multiple of 1 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 bigger than 1649\/457?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t + 20. Let j be p(21). Let m be -233002 + (4 + j - 1). Round m to the nearest ten thousand.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2 + 112014*j - 2913040.\nAnswer: (j - 26)*(j + 112040)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4887230, 4887234, 4887238, 4887242, 4887246, 4887250?\nAnswer: 4887254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(84)*2*4)\/(sqrt(54)\/sqrt(2)) + 2).\nAnswer: -16*sqrt(7)\/3 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 860 and 78690?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 71 = 17. Is a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -141 - -145. Solve 0 = i*d - 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/6*(-78)\/(-4). Let f = l + -27\/2. Let w = -0.1141 + 0.0141. What is the nearest to -0.1 in f, w, -1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -440a - -c?\nAnswer: -43ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -496 divided by 1285\nAnswer: -496\/1285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -87984 divided by -4?\nAnswer: 21996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -114 + 110. Let h(c) = 9*c**2 + 2*c - 2. Let g(l) = -l**2 - l. Let v(t) = 6*g(t) + h(t). Let w(f) = f**2 - f. Determine z*w(o) + v(o).\nAnswer: -o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -142*g**6 + g**4 - 41*g**2 - 3?\nAnswer: -17040*g**3 + 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/96 and -121\/6528.\nAnswer: 6528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(19) + sqrt(19))*-4*1)**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 271449.8 in 3.7, 3, -0.3?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -7*k**2 + 2*k + 162. Let h be d(5). Which is the nearest to 0.03? (a) h (b) 1\/8 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1db - -b079?\nAnswer: ac7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -4*o + 55, 43 - 38 = 2*o + 5*q. What is the remainder when 153 is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -105178*v + 946607. Give y(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/7))**(-2\/117)*(w**(6\/13)*w*w*w)\/(w\/(w*w**(-2\/3))))**(1\/3) assuming w is positive.\nAnswer: w**(2293\/2457)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26.4 + 26. Which is the nearest to -1\/16? (a) s (b) 0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 + 2*d)*(2 - 4 + 3) + 6 + d + 0 - 7)*(0 - 3 + 5)*(2 + 2 - 1).\nAnswer: 18*d - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2840948*i**4 + 62*i**2 + 34*i - 33?\nAnswer: -68182752*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -121507, -121440, -121373, -121306?\n\"Answer: 67*b - 121574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*g + 130 + 14. Suppose -14*p - g*p = -2178. What is the highest common divisor of p and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and 0.7188?\nAnswer: 1.2188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28901 is divided by 401.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1\/7, 1, 0.5, -0.4.\nAnswer: -6, -0.4, -1\/7, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 6 = 4*k, 57*k - 56*k - 4*u + 12 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 3*i**2 + 1392*i + 161472 = 0?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 3*x + 6, 4*y - 1 = -2*x - 5. Suppose p = 13 - y. What are the prime factors of p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 3 = 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u - 5. Let t be k(-4). Let s be (231\/9)\/7 - t. What is the third smallest value in -1\/3, -0.5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 566 - 566 + d + d**2. Let q(v) = 2*v**2 - v + 3. Let l(m) = 6*m**2 - 4*m + 10. Let k(z) = 3*l(z) - 10*q(z). Determine -6*k(i) - 11*n(i).\nAnswer: i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7979*g**3 - 2342*g**2 - 152542250*g.\nAnswer: 47874*g - 4684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 2:44 AM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*g**2*v - 5*g**2 + 756*g - 266*v + 3 wrt v?\nAnswer: 9*g**2 - 266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(228)*-3 + sqrt(228) + (-6*sqrt(228) + sqrt(228))*5)\/(2*sqrt(60)\/(sqrt(5)*-4*3 + sqrt(5))).\nAnswer: 198*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 0)*(-z**2 - 3 + 3) + (18 + 7 + 58)*(-z**2 + 2*z - 2*z) to the form g + t*z**2 + c*z and give t.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37\/203 - 3\/29. What is the second smallest value in 5, o, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 6772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.92550237 + -54.92551127. Let j = g + 48. What is j rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -13. Suppose 8 = z*u - 4. Solve -3*x = -4*o - 12 - 23, 0 = -u*o + 4*x - 40 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4343, -4351, -4361, -4373?\n\"Answer: -w**2 - 5*w - 4337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18797567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + 8*g**2 - 10*g + 12. Suppose 5*f = 4*s + 31, 0 = 3*s + 5*f + 12 + 20. What are the prime factors of q(s)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15069781.\nAnswer: 15069781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -w + 5*m, 5*w = m + m + 18. Suppose d + w*d + 3 = -4*f, -f - 4*d = 17. Which is smaller: 5\/2 or f?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fffb when four letters picked without replacement from {f: 5, b: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.401289 rounded to three dps?\nAnswer: 0.401","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 76 = -5*r, 10*f + 91 = -32*r - 317 for f.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 25*p**2 + 93*p - 2154. Let b be j(25). Calculate the greatest common factor of 19323 and b.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -14*y - 72. Let j(z) = 29*z + 124. Let i(l) = -3*j(l) - 5*t(l). Determine i(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7466 and -15870218.\nAnswer: -15862752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 6.5. Let n be 0 + 9\/(-5) + 1. Let f = 1.463 + -1.363. Which is the nearest to 0? (a) f (b) n (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14605042 (base 7) to base 5.\nAnswer: -324143401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-14)\/28)\/(1\/(-436)). Let s = 469 - m. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 5. Suppose -c - 1 = -n, 5*n + 1 = 2*c + c. Let m = 1102 + -1098. Sort m, n, d in descending order.\nAnswer: m, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = -a - 14. Let x be 16 - ((-2)\/a + -1). Calculate the highest common divisor of 27 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-7)*7\/(-15). Let v be (-2)\/504*38 - 12\/(-54). What is the smallest value in v, 0, 0.4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 208 and 3289?\nAnswer: 52624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-395)\/(-2370)*(-24)\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - u + 0*u)*(3 + 2 - 3)*(54*u + 120*u + 104*u).\nAnswer: -556*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -156025*j**3\/8 + 41024305*j**2\/8 + 2700841*j\/8 + 44447\/8.\nAnswer: -(j - 263)*(395*j + 13)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1031414224 (base 5) to base 4.\nAnswer: -20131031232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jkknnkvkkkvkk. Give prob of picking 1 k, 2 v, and 1 j.\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 6*o**2 + 10*o - 2. Calculate y(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(2 + 1 + 0)*(-21*i**2 + 60*i**2 + 16*i**2).\nAnswer: 165*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*n + 133*n = 1050. Suppose -4*c - 28 = 4*z, -3*c + 0*z - 22 = 4*z. Calculate the lowest common multiple of (-322)\/(-21)*c\/(-4) and n.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*d + 71 = 0, -3 = d + 2*d. Let j = -31 + m. Solve -2*k - j*k = 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 834262170 to the nearest one hundred thousand.\nAnswer: 834300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j - 6. Suppose 3*s = -2*s + 40. Let r be a(s). Let n(f) be the third derivative of f**4\/24 - f**3\/6 + f**2. Give n(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 31*r**2 + 404*r + 6. Determine k(-13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 859 (base 10) to base 7\nAnswer: 2335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1350 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152918 = -7*m + 153023 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 + 2. Let y = 20.3 + g. Is 5 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l**(-1\/10)*l))**(-4\/13)*(l*l**(-4\/5))\/(l\/((l**22*l)\/l)) assuming l is positive.\nAnswer: l**(1356\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 25574531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j - 4. Determine z(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3660.\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -94 + 93.5. Let b = 4.04 + -0.04. Let x = b + -3. What is the smallest value in x, -0.4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2)\/(d*d**(2\/17)\/d))\/(d**(2\/3)\/d*(d\/(d\/d**(2\/9)))\/d))\/(d**(-2\/9)*(d**(5\/6)*d)\/d*d\/d**6*d*(d\/d**(5\/4))\/d*d) assuming d is positive.\nAnswer: d**(179\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*v**2 - 4*v**5 + 12*v**5 - 6*v**2 wrt v?\nAnswer: 480*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -9. Let v = l - -9. Solve 0 = y - v*y - 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10978*c**4 + 396*c**3 - 9675663*c**2 + 3?\nAnswer: -263472*c + 2376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 5 - 5 - -9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r + 3. Let z(k) = -k**2 + 7*k - 7. Let x be z(5). Let a(v) = 2*v - 3 + 5 - v + 2. What is x*i(q) - 2*a(q)?\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.61882m in kilometers?\nAnswer: 0.06161882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**4)\/(k*k**2)*(k**0)**(2\/97) assuming k is positive.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 + -23. Let p(r) = -2*r + 1. Let d be p(t). Solve -3*u = 2*s + 9, -3*s - d*u = -2*u - 4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 136*t**4 + 948*t**3 + 2012*t**2 + 1164*t - 36 = 0.\nAnswer: -3, -1, 1\/34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 14 + -6 + -6 - 8.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 - 822 + 822.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvtvttvvvvttt. Give prob of picking 2 v.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67619 is divided by 735?\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.7995 to 0 decimal places.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(5) + (sqrt(5) - (3*sqrt(5) + -2)) + sqrt(5) + 2 + 1*(3*-4*sqrt(5)*3)**2.\nAnswer: 6484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-7)*(z*z**(2\/3))\/z)**(2\/3) assuming z is positive.\nAnswer: z**(52\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*r + 1 = -4*i, -3*i + 5*r = -5. Is -69*(-1 + i\/2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 31*k + 4 = -33*k, -10 = -4*h - 2*k. Suppose -5*p - 3*m = -28, 0 = p + 5*m - 1 - 9. Solve -d + 19 = 4*j, -d + h = j - p for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -4, -5 in descending order.\nAnswer: 28, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lln when three letters picked without replacement from lnnlnlll.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h + 87*s - 84*s - 29, 3*s = -3*h + 24 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -10232?\nAnswer: 10222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -688*x**3 + 24*x**3 - 932*x**3.\nAnswer: -1596*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1503 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 s = -1785 - -1206. Let p = s + 689. What are the prime factors of p?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 1\/267, 10?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -81\/4 + 2675\/132. Let v(l) be the third derivative of n*l**4 - 1\/33*l**3 + l**2 + 0 - 1\/330*l**5 + 0*l. Solve v(s) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 298 = -3*x, 0 = -3*i - i - 2*x + 300. Let n = i - 37. Suppose 0 = -4*l - 11 + n. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*h**4 + 4*h - 4*h + (0 - 2*h**3 + 0)*(3*h - 3*h - 2*h) as z + n*h**2 + i*h**3 + u*h**4 + m*h and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**18\/w**(-20))**(-2\/43) assuming w is positive.\nAnswer: w**(-76\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.22+-16\nAnswer: -16.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 254 divide 146678192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a day in seconds?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 8, u: 3}. Give prob of picking 3 u.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2944411432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 12800*r**4\/3 + 495040*r**3\/3 + 1214246*r**2 - 7770264*r = 0.\nAnswer: -1707\/80, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 182 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1094 is divided by 244?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -37*d + 24*d. Let q(w) = -29*w. Let j be q(-2). Suppose -d*f + 68 = 4*y, 4*y + 6 = -f + j. Calculate the highest common factor of 4 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -98104.5 - -16626.5. Let i = 81480.000006 + a. Let y = -2 + i. Round y to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10*(-18)\/(-495))\/((-2)\/11). Solve 2 - 5 = -h*s + r, 4*s + 4*r = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 78 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 635 is divided by 128.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from 4771.\nAnswer: 4771.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 6032 divide 2639955687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21*2\/(-60)*4\/(-7)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4510 is divided by 141?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10820035 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z = 24*z - 1995. Calculate the remainder when 2507 is divided by z.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -128629347*i**3 - 2*i**2 - 14565*i - 2 wrt i?\nAnswer: -771776082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-8)*2\/6.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 + 18*x**2 - 46*x + 30.\nAnswer: -2*(x - 5)*(x - 3)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 3 (b) 2\/9 (c) 5 (d) 25 (e) 0.06\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*a - 83 = -4*r, 4*a + 52 = 2*r. Let i be (r\/(-2))\/(0 - 1). Calculate the remainder when 23 is divided by (-24)\/i*30\/(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13321451 + 23?\nAnswer: -13321424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136631 is divided by 32312.\nAnswer: 7383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-30)\/((z**(-1\/3)*z)\/z*z)*(z**(-15))**44 assuming z is positive.\nAnswer: z**(-2072\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22 times 0.1?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**3 - 9. Suppose 60 = 214*n - 229*n. Let u(h) = -h**3 - 4. Determine n*g(o) + 9*u(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -k**2 - 31*k + 12. Let m be d(-16). Let p(c) = 13*c**2 + c - 1. Give p(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4753*p + 4750*p + 4751*p - 14248*p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 7*r**2 + 14*r - 7. Let o(x) = -3*x**2 - 7*x + 3. Give -2*j(v) - 5*o(v).\nAnswer: v**2 + 7*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47 and 235?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ycech. What is prob of sequence eyh?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(72))\/(((sqrt(4) - sqrt(64))*2 + sqrt(4) - sqrt(4))*1) + -1.\nAnswer: -1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6, 7, 0, -21, -62?\n\"Answer: -t**3 + 2*t**2 + 2*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((3*(1 + sqrt(684) - sqrt(684)) + 4*(sqrt(684) - (-4 + sqrt(684))))*1)**2.\nAnswer: 2166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-6))\/((-6)\/(-60)). Which is the smallest value? (a) -1 (b) -0.1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -255*t + 19873. Give j(82).\nAnswer: -1037","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 31760, 67338, 102916, 138494?\n\"Answer: 35578*h - 3818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.158809 and 201.23.\nAnswer: 201.388809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 + 2*f - 3.\nAnswer: (f - 1)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -6*t - 4, 0 = -o - 2*t + 2. Solve 4*i + 1 = o*z - 3, 2*z + 2*i + 18 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -56 >= -1475\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.6 + -4.6. Let o = 0.1 + -0.1. Let s = o + d. Which is the closest to 1? (a) 3 (b) 2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 9:06 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 0.09, -0.3, -4, -0.5388?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*o**3 + 18*o + 3*o**3 - 10*o + o**3 to the form j*o**2 + k*o**3 + x*o + y and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4*p**2 + 3*p + 4. Let j(i) = -10*i**2 - 7*i - 9. Let l(y) = -3*j(y) - 7*x(y). Calculate l(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308756.\nAnswer: 2, 7, 11027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 739464605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 5:47 AM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 666581518.\nAnswer: 2, 333290759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2 - 10 = 0. Let l(h) = 1 - 1 + 15*h**q - h**2. Let a(y) be the second derivative of -y**3\/3 + y. Determine a(l(i)).\nAnswer: -28*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 45 - (-67 - -109)) + (-2 - 8).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-5)\/3))\/((-18)\/12).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence snff when four letters picked without replacement from {s: 2, n: 1, f: 7}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 - -15. Let n(x) = x + 15. Let v be n(m). Solve 0 = -2*l + v, -u + 2*l + l - 7 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -32 - ((-12)\/(3 + -6))\/(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 178143, 178142, 178141, 178140, 178139?\n\"Answer: -k + 178144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 7*w = -10. Suppose 24 = 5*n + 2*p, 0 = -4*n + w*n + 3*p + 2. Solve m = n*b, 4*b + 3*m + 11 = -5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 156 - 781\/5. Which is the second smallest value? (a) -5 (b) w (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 24630 - 4?\nAnswer: 24628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1416 and 3009?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -29. Suppose n + 3 + 3 = 0. Let p = b + n. Does 18 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1395312637*y**5 - y**2 - 53350*y + 4097 wrt y.\nAnswer: -83718758220*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 94245 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 37, 542, 1383, 2560, 4073, 5922, 8107?\n\"Answer: 168*m**2 + m - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in 4\/3, 0.4, -1, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/6 and 101\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -62 - -92. Suppose -76 = -4*n - 3*v - 25, 1 = v. Calculate the greatest common divisor of b and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -4*m + 24, 6*m - 20 = m. Let j be (-1406)\/6882 + (-168)\/1302. What is the closest to -0.1 in -3, -0.1, b, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and -23.43?\nAnswer: 23.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 - -494161489.712.\nAnswer: 494161490.312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6911291 a multiple of 1496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -129? (a) 18.7 (b) -15 (c) -0.5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37478*a**3 + 37462*a**3 - 75225*a**3.\nAnswer: -285*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ct when two letters picked without replacement from cttu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 + -26b26?\nAnswer: -26b20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -2*s + 12018 - 11996, -5*s - 2*o = -7 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-18)*b*((b*b*b**9*b)\/b)\/b assuming b is positive.\nAnswer: b**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -5) + (5 - 5) - (6 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*j**2 + 332490*j - 664977*j + 332488*j.\nAnswer: -21*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 5 - s + 115 + 2*s - 4*s.\nAnswer: -3*s + 104","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 787.6 from 219406.\nAnswer: 218618.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 540.7 - 7.78?\nAnswer: 532.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**3 - 614*q**2 - 41*q + 27*q**2 + 61*q - 20*q.\nAnswer: q**3 - 587*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*c - 2*s + 267 = 0, 3*c - 4*s + 0*s + 1830 = 1881 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.63 - 1.63. Which is the nearest to k? (a) -1\/4 (b) -3 (c) -3\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 41*f - 357. Let d be j(34). Is d at most -586?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 9*n. What is q(-12)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*i**2 - 16*i + 16 + 16*i**2 + 4*i**2 - 2*i**2 - 7*i**2.\nAnswer: 4*(i - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 353036 and 353038 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s**3 + 1 + 8*s**3 + 42*s**2 - 42*s**2 - 4*s to the form q*s + i + g*s**2 + k*s**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n - 89. Give x(-5).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.122, 8, 0.1, 15.7, 5, 2\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -51757*a**4 - 58892*a**2 wrt a?\nAnswer: -1242168*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/6)\/((-414)\/(-8)*38\/114).\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 525 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -496 - 513 + 401 = -32*f for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -144114234 (base 5) to base 16.\nAnswer: -bbf98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**2. Let x(b) be the third derivative of -b**4\/3 + 8*b**2. What is w(x(v))?\nAnswer: -128*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - d + 6, -d - 2 = 3*l + 2*l. Let g be 44\/11 + l + 261. Calculate the greatest common factor of 24 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/28*(-18)\/6*955\/(-573).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1832115376 to the nearest integer?\nAnswer: 1224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*b = 49*b + 12. Solve b*i - p = -1 + 22, 2*p + 14 = i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47943.445 + 47300. Let u = s + 642. Round u to 2 dps.\nAnswer: -1.45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 4*o - 17 = 0, 3 = -d - 5*o - 7 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 274757860, 274757857, 274757854, 274757851, 274757848, 274757845?\nAnswer: 274757842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 + -3.4. Let i = 3 - -1. Let v = i + w. Which is the nearest to v? (a) 1\/2 (b) 5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -7*h**2 + 10*h - 3. Let g(m) = 8*m**2 - 11*m + 3. Let a(w) = -6*g(w) - 7*r(w). Let d be a(5). Calculate the highest common factor of d and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 649.2991um?\nAnswer: 0.0006492991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**4*w**5*(w*w**(-2\/3)\/w)\/w**(-1\/6)*w*((((w\/w**(2\/19))\/w)\/w)\/w)\/w*(w**(-3\/4)\/w)\/w*w\/((w\/(((w\/(w\/w**(-4)))\/w)\/w))\/w)*w**5\/w assuming w is positive.\nAnswer: w**(201\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224590209?\nAnswer: 3, 6571, 11393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41\/2 - 81\/4. Which is smaller: b or 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 9*p**2 - 41*p + 4. Calculate b(-3).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -375\/2173 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -1427*x**3 + 24*x**2 - 16*x + 1892. Let n(g) = 476*g**3 - 9*g**2 + 6*g - 631. Let o(b) = -3*c(b) - 8*n(b). What is the derivative of o(l) wrt l?\nAnswer: 1419*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -115.997 * -4.\nAnswer: 463.988","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/2 - 2)\/(-1). Let u = -3 - o. Let b(c) = 8*c**2 - 66*c - 527. Let w be b(-5). Put u, 0.1, w in ascending order.\nAnswer: u, 0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/12 or 921?\nAnswer: 921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4 + 2 + 10*i**2 - 10*i + 4 + 0 - i**3. Is v(8) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11a2 + -11b4?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 8*x**2 + 42*x - 274. What is i(7)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -0*i - i + 12, 15 = 3*p. Suppose l - 3*z = z + 18, 5*l + 2*z = i. Find the third derivative of -5*k**2 - k**2 + 46*k**l - 34*k**3 wrt k.\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.04 + 3.96. Let o = -10 - -6. Let k = -2.8 - 2.2. Put k, o, x in increasing order.\nAnswer: k, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-3) - (6 - 175\/30)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 66 - 6. Let p(h) = -h**3 - 11*h**2 + 11*h - 7. Let m be p(a). Suppose 8 = -w + m*w. Which is greater: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y. Suppose v + 114 = 2*k, 5*k + 4*v - 272 = -0*k. Let s(c) = -6*c + k*c**2 + 3*c + 3*c. Give n(s(i)).\nAnswer: 56*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 18*u - 4. Let v be z(-2). Let f = 20 + v. What is the common denominator of (f\/11)\/4 - -2 and -97\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -71, 50, 4, 27 in increasing order.\nAnswer: -71, -3, 4, 27, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-5)\/((-40)\/66)) + 6?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 88, 13, -3, 8, -420 in decreasing order.\nAnswer: 88, 13, 8, -3, -420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/5 + 18388*o\/5 + 3295467\/5.\nAnswer: (o + 181)*(o + 18207)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 130458.07, 3 in decreasing order.\nAnswer: 130458.07, 3, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(720) + 5)**2*-5 + ((sqrt(720) + -2*sqrt(720) + -4)**2 - sqrt(720))).\nAnswer: -5978 - 1032*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**2 + 2*a**2 + 4*a**3 + 3*a + a + 4*a**2 = 0 for a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 4*s - 2. Let i(h) = -3*h - 5 + s + 18*h**2 + 4*h**2. Is i(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 5:13 AM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45011 is divided by 274.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 257 - 667. Let q = x + 434. What is the second biggest value in -1, -3\/5, -2\/11, q?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (32\/192 + 5\/(-20))\/((-90)\/(-20))\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i + 1504 - 1879 + 721 - 2*i - 1972 - 2417.\nAnswer: -2*i - 4043","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f - 5*w + 40 = -14*f, 0 = 3*f + 5*w - 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*x - 9*g - 1190 = -13*g, 70 = 2*x - 159644*g + 159639*g for x.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (42 - 7751\/184)*(-1 - (-7 + 0))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(i - 2*i - i) + (-2 - 2*i + 2)*(3 - 5 + 3) + 3*i - 5*i - 3*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.86527 decades to years.\nAnswer: 588.6527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**3 + 244*d**2 + 5267*d + 89. Determine h(-28).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of m**5\/20 - m**3\/3 + 5*m + 2. Let c(t) be the first derivative of y(t). Find the second derivative of c(x) wrt x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126\/(-26) - (-442)\/(-2873)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - -2)\/((-9)\/(-18)). Solve -f - 44 = d*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (50\/(-4))\/((-5)\/10). Let u = f - 7. Solve -3*d - n + u = 0, -4*n + 12 = 3*d - 5*n for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42567, 87632, 132695, 177756, 222815, 267872, 312927?\nAnswer: 357980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001209 to four dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of f**8\/560 - f**5\/30 + 7*f**3\/6 - 7*f. Let j(v) be the second derivative of h(v). Find the second derivative of j(x) wrt x.\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - u - 1. Let y(k) = -4*k**2 + 4*k + 5. Let z(b) = 2*g(b) + y(b). Let d be z(3). Let w = -14 + d. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -7*f**3 + 7*f - 5. Let p(m) = -m - 1. Let t be p(-5). Let v = -157 - -152. Let d(l) = -6*l**3 + 6*l - 4. Give t*o(k) + v*d(k).\nAnswer: 2*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + v - 72. Suppose -2*x + 4 = -0*x. Suppose 5*q = 2*w + 3*q - v, x*w = 3*q + 22. Solve -2*h = w*p - 22, 0 = 5*h + 2*p + p - 17 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 25*(10 + -5 - 4). Let m be ((-30)\/o)\/(((-32)\/20)\/4). Solve 0*f + 3*f - 20 = 4*x, 2*x = m*f - 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 602 - 220?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 57 + -9. Let d = v + -45. Suppose -93 = -0*r - d*r. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-16)*4*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -0.05 (c) 0.1 (d) -0.35 (e) -5\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z + 6. Let w be f(-6). Solve 0 = 3*y - y + 2, w = -j - 4*y for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*f + 5*f**2 + 135*f**3 + 82*f**3 + 115*f**3 + 50*f**3 wrt f.\nAnswer: 2292","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289471870.\nAnswer: 2, 5, 1223, 23669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 43 = 3*p - 4, 2*h + 5*p - 28 = 0. Let n = h - 4. Let d be (3*n)\/((-3)\/(-2)). Solve -2*b = 3*b - d for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(3\/2))**(3\/22)*(w*w*w**(-1\/2))**(-4\/5) assuming w is positive.\nAnswer: w**(-189\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-3))\/(3 - 21\/6). Suppose 4*s - 2*f - 16 = 2*f, -s - 8 = k*f. Which is smaller: s or -8\/9?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3547\/3 - 4\/12. Suppose -2*x = -u - 2380. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 82 - 2*t - 76 + 3*t. What is s(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 2*g + 92. Suppose 2*p = p + g. Let y = -12937 - -13052. Calculate the highest common divisor of p and y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**2 - 8*b - 4*b - 19 - 3*b - 16*b. What is the remainder when g(-14) is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 260 - 105. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1090266, -2180531, -3270796?\n\"Answer: -1090265*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(363))**2 + -4 + (sqrt(3) + -1*(sqrt(3) + -1)**2)*-4.\nAnswer: -12*sqrt(3) + 375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m. Let a = -4 - -3. Let g(c) = 0 - 5*c - 1 + 4*c. Let p(h) = 3*h + 2. Let x(s) = a*p(s) - 2*g(s). Calculate x(k(w)).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from djdjdcdffdddcdjfad. What is prob of picking 1 f, 2 d, and 1 c?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 413057 is divided by 103256.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -4*h - 2*l, 2*l - 16 = h + 6*l for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2380573416?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 t when two letters picked without replacement from vtvrtivrqmr?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -465, 2, -3, 104.\nAnswer: -465, -3, -1, 2, 3, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 bigger than 1.89537748?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-9860)\/(-35) + (-6)\/(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/332 and -21\/10.\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -5*d - 2097, -3*h - 3*d - d = -1596. Suppose -3*y + 6*y = h. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*207129440.\nAnswer: -20712944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*n - 44*n - 66. Calculate the smallest common multiple of n and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -1709 (c) 0.5 (d) -1 (e) -42\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -745 - -487. Let z = w - -369. Calculate the remainder when z is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160789882 to the power of 1\/2, to the nearest integer?\nAnswer: 12680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 2:54 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -1. Let u(c) = -13*c + 3. Suppose 5*n - 7 - 23 = 0. Let q(b) = n*r(b) + 2*u(b). Let j(w) = w. Give j(q(a)).\nAnswer: -26*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14783803?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5472.8 - -5473. What is the closest to d in -3, -2, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001219060076 to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**4 + 14*z**4 + 16*z**4)*(2*z + 0*z - 3*z) - 2*z**5 - 3*z**3 + 3*z**3.\nAnswer: -31*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oox when three letters picked without replacement from {o: 12, x: 3}.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -200.4 + 199. Which is smaller: w or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-2\/7))**(-2\/15))**(-8) assuming n is positive.\nAnswer: n**(16\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-296)\/(-407))\/((3 - (-116)\/(-36))\/(99\/(-81)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 15 = 4*a, -5*g + 3*a + 30 = 0. Solve g*d = 4 - 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 107581792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -0.3, -4\/431?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4179 - -4177.5. Which is the fourth smallest value? (a) -1\/7 (b) -2\/7 (c) 3 (d) 1 (e) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -92.19 + 93. Let r = o + -0.61. Put 0, 6, r, 0.3 in decreasing order.\nAnswer: 6, 0.3, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*c + c = -11, -3*u = -3*c - 30. Let x = u - -9. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1643 + -730. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -263 + 791\/3. Which is the closest to 1\/3? (a) -0.6 (b) h (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1570*o - 378*o - 368*o - 371*o - 432*o.\nAnswer: 21*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -10*n**2 + 21*n + 33. Let r(v) = 114*v**2 - 232*v - 362. Let t(y) = 68*d(y) + 6*r(y). Find g such that t(g) = 0.\nAnswer: -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4233 - 3833. Does 20 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2813, 2179, 487, -2785, -8159, -16157?\n\"Answer: -87*c**3 - 7*c**2 - 4*c + 2911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3809 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -25, -42, -61, -82, -105, -130?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 2 = o. Calculate the smallest common multiple of o and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -150487, -300943, -451379, -601783, -752143, -902447, -1052683, -1202839?\nAnswer: -1352903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4976954 and 578.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 + -7 + -16 + 27.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 36253.413s?\nAnswer: 10.0703925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -49 + 3*q**4 - q**4 + q**3 + 48 in the form k*q**3 + c*q**2 + u*q + g*q**4 + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4801*u + 26418*u + 237787 = 0 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10494*q**2 + 20987*q - 2 = 0. Calculate q.\nAnswer: -2, 1\/10494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**2 + n - 7. Let f(s) = 2*s**2 + s - 7. Let a(p) = 7*b(p) - 6*f(p). Let x = -13 - -18. Does 14 divide a(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of d**3\/6 + 3*d**2\/2 + 245*d. Determine o(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k**3 + 15*k**2 - 13*k + 73. Let o(u) = -4*u**3 + 14*u**2 - 14*u + 73. Let d(v) = 2*o(v) - 3*s(v). Is d(18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 12*b**2 - b + 15. Let t be r(12). Solve -t*v - 5 = -5*k - 6*v, -5 = -5*k - 2*v for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 8*u**2 - 3*u - 1 - u**2. Find the common denominator of ((-35430)\/(-35640) - (-4)\/54) + 12\/16 and y(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -228, 10, -4361 in descending order.\nAnswer: 10, 1, -228, -4361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 153*b**5 - 3*b**2 + 32*b?\nAnswer: 9180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 63907.78 centuries in decades?\nAnswer: 639077.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/880 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -13, 0.797, 3, -5, -1, -75?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from hhjjhhjhjhhhj.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3263, -3259, -3253, -3245, -3235, -3223, -3209?\n\"Answer: l**2 + l - 3265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kvvk when four letters picked without replacement from ktkkvtkkvkkk?\nAnswer: 14\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uz when two letters picked without replacement from {f: 1, k: 1, u: 1, t: 2, z: 1, e: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.36833l in millilitres?\nAnswer: 18368.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 233?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -362054+-219.11794\nAnswer: -362273.11794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2114464481 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, r: 3, s: 5, f: 1}. Give prob of sequence rsr.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -71, -138, -221, -314, -411, -506?\nAnswer: -593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1)*n**(-1\/4)\/n)\/((n**4*n)\/(n**(3\/2)*n)) assuming n is positive.\nAnswer: n**(-19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15914 and 2180.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s + 18*s + 13*s.\nAnswer: 32*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3215.\nAnswer: 5, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1719*l - 20437 = 3629 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**3*w - 30876*k**3 + k*w + k + 107*w + 50 wrt k?\nAnswer: -6*k*w - 185256*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m**2 + 3*m + 1. Determine s(-4).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 11 = 4*k, x + 1323*k - 1322*k = 4. Let u = 8 + -6. Which is the fourth biggest value? (a) x (b) 1\/4 (c) u (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 445579 not equal to 445298?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -13 + (-4020)\/(-24)*6 + 1.\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + 0 + 0 + -1. Let f(u) = 15196*u - 15198*u + 1 - 6 + 2*u**2. What is the units digit of f(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of -11\/3*l**3 + 3 + 1\/10*l**5 - 1\/3*l**4 + 20*l + 12*l**2. Factor w(m).\nAnswer: 2*(m - 4)*(m - 1)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -703 + 12659\/18. Which is greater: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 419 + -429. Is s < -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 2*t + t**2)*(-2*t**2 + 0 + 0)*(-4 + 14 - 5).\nAnswer: -10*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -15*m**3 - 3*m**2 + 1620*m + 1622. Determine z(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.01813 + 1.98187. Which is the third smallest value? (a) o (b) -0.4 (c) 0.3 (d) -4 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 9*k + 1. Let z be m(3). Let q(o) = 7*o**3. Suppose 4 = -y, a + 4*y - 3 = -18. Let n be q(a). What is the greatest common divisor of z and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of r**2\/2 + 8. Let m be b(-2). Let t be (m\/(-4))\/(1\/6). Is t equal to 17\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 3*y - 15 + 7, p = 5*y + 6. Solve -7 + p = 2*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r - 6. Let p be l(-2). Let o be ((-40)\/(-16))\/(p\/(-8)). Let w(m) = -11 + 3*m**2 + o + 9*m - 4*m**2. Calculate w(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 3. Let y = 11 - r. Let a be (10\/(-6))\/((-1)\/y). Solve -i + 0 = a for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 - -38.29. Let d = j + -0.19. What is the closest to d in 0.1, 2\/9, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(((-3)\/1)\/(3\/2))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/6 - 2\/(-6). Let i(z) = z**2 - 10*z + 7. Let t = 11 - 2. Let s be i(t). Sort 0, j, s.\nAnswer: j, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22152 and 9152.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 11*r + 18. Suppose 5*b + 65 + 0 = 0. Is 17 a factor of w(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*(42\/24)\/(-7)*1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23184)\/144*(-6)\/(-84)?\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1019059183?\nAnswer: 23, 44306921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446 is divided by 1*-4 + (-270 - -407)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262086823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 + 0*n + 4*n + 5*n**3 - n - 3*n**3 - 2*n to q*n**2 + p*n**3 + k*n + b and give b.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -276, -1114, -2510, -4464?\n\"Answer: -279*p**2 - p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 8:49 PM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + -3)*-5*1. Let x(o) = -2*o**2 - 14*o - 9. Let s be x(-6). Suppose -5*z**s - 1541 + 5*z**u + 1541 = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 57340986 to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -3\/2, 2, 12?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 0, -0.01, 2 in descending order.\nAnswer: 2, 2\/5, 0, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28\/17 + 337\/153. Let c = 20\/9 - z. Find x such that -10\/3*x**2 + 8\/3*x**4 - 1\/3*x - 4\/3*x**3 + 2\/3 + c*x**5 = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 8\/23 (b) 78 (c) 1\/10 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 9:36 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - -16. Let s = d + -20. Suppose -f = -i - 5, f - s*i = 2*i + 14. Let l(y) = y**3 - 4*y + 3. What is l(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*a + d - 0, -a = -d - 3. Let t be -39*1*a\/(-9). Suppose 4*y = 2*m - 209 + 61, -5*m + 384 = -3*y. What is the greatest common divisor of t and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 3*f = -84, b - 3*f = -5*f + 14. Calculate the least common multiple of b and 232.\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4*j = 3*r + 18, 5*r = 3*j + 19. Suppose r = 4*o + o. Let y be 5 - 5 - (-3)\/o. Solve y*d + 4 = -11 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33667 (base 11) in base 7?\nAnswer: 262012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/72)\/((-3*143\/66)\/(-3))?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*g**2*h**3 + 1785*g**2*h**2 - 3495*g**2 wrt h.\nAnswer: 18*g**2*h**2 + 3570*g**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -24014142?\nAnswer: -24014141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3182, 0.22, 1\/2?\nAnswer: 0.3182","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 0 + -1 + 5. Factor -2*k**5 + 4\/7*k + 0 + 2\/7*k**a - 30\/7*k**3 + 38\/7*k**4.\nAnswer: -2*k*(k - 1)**3*(7*k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of o**7\/1260 + o**6\/360 - o**5\/30 - o**4\/6 + o. Let z(y) be the third derivative of m(y). Factor z(l).\nAnswer: 2*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -20 + (5 - (3 + -2))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 + 21. Let d = -3\/19 - -31\/76. What is the biggest value in 2\/9, l, d, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40270722307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -1, -0.4 in ascending order.\nAnswer: -31, -1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + f = 38. Suppose 2*w + 38 = 2*i - 2*w, i = -5*w + 19. What is the greatest common divisor of f and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*s = 36*s - 153. Calculate the remainder when s is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/5 + 10\/50. Suppose n*q = 6*q. Suppose q = -9*s + 6*s + 399. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2916607.508 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*t**3 - 1 + (-t + t + 2*t**2)*(-t - 2*t + t) - 269*t**2 + 269*t**2 - 48*t**3.\nAnswer: -50*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(-2 - 1) - -1. Suppose 5*l = -3*v + 30, l + 2*v - h = 2. Let y be ((-36)\/(-27))\/(4\/l). Solve y*g = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 4:06 PM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3254099417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f*g**3 + f*g**2*i + 47*f*g + 5*g**3*i - 8*g**2*i wrt g.\nAnswer: -12*f + 30*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-2 - (-22)\/8). Let r be (12\/c)\/(8\/5 + -1). Let v(a) = a - 3. Let f be v(6). Solve 0 = -5*w + 3*n + f, r = -5*w - 7*n + 2*n for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, l: 4, r: 2, e: 1, v: 1}. What is prob of sequence ldve?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 13819 = -2792. Let i be (u\/2)\/(60\/14 + -5). Let n = i - -3872. What is the common denominator of 1\/6 and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2805, 11075, 24859, 44157, 68969, 99295?\nAnswer: 135135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52 + 57. Put 6, -5, q in increasing order.\nAnswer: -5, q, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2 + 114*s - 784. Let j be z(49). Is -5\/478 >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 1. Suppose -u*z + 8 = -5*z. What is the least common multiple of z and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/283 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1010 and 190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 1:15 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.043 - -8.043. What is the third smallest value in 2\/7, -5\/6, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1052, 4226, 9514, 16916, 26432, 38062?\nAnswer: 51806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33 and 521257?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32081 - -32083. Solve -12*c - f*c = 98 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -73205*d**2 + 36610*d**2 + 36602*d**2 + 1. Let o(r) = -22*r. Determine j(o(k)).\nAnswer: 3388*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28181?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of 9*i**7\/140 + i**6\/15 + i**5\/45 + i**3\/6 + i**2. Let b(l) be the first derivative of y(l). Factor b(x).\nAnswer: 2*x*(9*x + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01 and -4.9?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + 10. What is the greatest common divisor of 30 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -914108 * -0.11.\nAnswer: 100551.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 1\/1567, 5, 13\/6?\nAnswer: 1\/1567","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 + -47. Let x(b) = 2*b**2 + 10*b + 9. Let g be x(w). Let n(l) = l**3 - 11*l**2 + 19*l - 9. Let z be n(g). Solve z = 2*k + 13 - 3 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of b**3 - 3*b - 6. Let g(o) be the first derivative of h(o). Let f(a) = -a**2. What is g(f(t))?\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -p**4\/12 + 11*p**3\/6 + 37*p**2\/2 + 2*p - 166. Calculate d(15).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of m**3 - m**2 + 6*m - 15. What is the units digit of v(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -5*((sqrt(200) - (sqrt(200) - ((1 + sqrt(200) - sqrt(200)) + sqrt(200))*-3)) + (sqrt(200)*-2 + 1 - sqrt(200))) + -4)**2 + -1.\nAnswer: 600*sqrt(2) + 180000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4836440439 to the power of 1\/5, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - n + 29. Let u be i(0). Suppose 0 = 2*w - 5 - 3. Solve u - w = 5*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/357249559 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2163 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3731*z - 34 = k + 3727*z, 54*k - 3*z + 57 = 51*k for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5938 is divided by 68?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10235292 divided by 102?\nAnswer: -100346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -27\/2*n**6 + n + 10 + 0*n**4 + 7\/2*n**2 + 0*n**3 + 0*n**5. Find the second derivative of p(u) wrt u.\nAnswer: -1620*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9 (b) -27 (c) 19071\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 5*o - 9. What is the remainder when 19 is divided by g(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -22*z. Let d(i) be the third derivative of -i**4\/8 + 7*i**2 - 4. Give y(d(c)).\nAnswer: 66*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0481 times -21384?\nAnswer: -1028.5704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4377.886 litres?\nAnswer: 4377886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 14*f**2 + 2. Let v be x(14). Solve -k + c = v, 4*k + 2*c + 2 + 0 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (1 + 6 + -7 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + m - 18 = 2*u, -5*u = -m + 15. Let s be 2\/m*110\/(-64). Let b = -1\/48 + s. Which is greater: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-2*6\/(-20))\/((-45)\/(-50)*11)\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 16 = 4*w. Let r = w + 3. Let b be 1 - 0 - (0 + r). Solve -6 = -b*d + 4 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -4*u**3 + 55333860*u**2 - 191364781573152*u + 191364726239296 = 0.\nAnswer: 1, 6916732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 130132305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 69653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 9\/5, 12239, -5\/2?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 d when two letters picked without replacement from ziiiiddiiwiiwiiw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-156 - -180) + 1 + (-5 - -18) - 0?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 13*f**2 - f - 3. Let c(h) = 6*h**3 - 66*h**2 - 5*h - 14. Let g(b) = 2*c(b) - 11*z(b). Calculate g(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 62, 143, 250, 389, 566, 787, 1058?\n\"Answer: x**3 + 7*x**2 + 53*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of o**4\/4 - 6*o**3 - 15*o + 1. Let w be r(18). Let v be 17 + w - 0\/1. Solve -v - 2 = 4*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*z = 60. Suppose -u + 3*y + 111 + 316 = 0, -2*y - 10 = 0. Calculate the smallest common multiple of z and u.\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2030603*g**2 - 1345969 wrt g.\nAnswer: -4061206*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1718*h + 163212 = -2168*h for h.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6\/5 of a day?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -42 - 49 - 12*x + 150 - 21. What is p(5)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 3*r + 4, 69598*v = 69596*v + 5*r + 17 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of 73*f**6\/120 - f**5\/30 - 73*f**4\/24 - 2*f**2 - 57. What is the second derivative of g(q) wrt q?\nAnswer: 438*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + 5*p - 119 + 152, -5*p + 15 = -5*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, n: 3}. Give prob of sequence nnyn.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-2)\/(-2))\/(8280\/(-184)*209\/198)?\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + u - u)*(0 - 9 + 3 + (-2 + 2 - 1)*(3 + 2 - 6) + (-1 - 2 - 1)*(2 + 2 - 5)*(-1 + 4 - 1)).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -76? (a) -12\/5 (b) -3 (c) 9\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 divided by 166933?\nAnswer: 185\/166933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2938688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -0.3 (c) 1\/7 (d) -0.18 (e) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + q + 2 + 3 = 0, 3*q - 6 = -4*u. Suppose u*s - 24 = -0. Suppose -4*o - d - 8 = 0, -3*d + d - s = 4*o. Is 0 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.911 + -2.911004731. What is s rounded to seven decimal places?\nAnswer: -0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, h: 5, f: 1, o: 1, p: 1}. What is prob of picking 1 f and 1 o?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 156 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 312 + -311.579. Let k = -5.421 + f. Put 0.1, -2\/3, -0.09, k in descending order.\nAnswer: 0.1, -0.09, -2\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -183*b + 132*b - 102 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2684351132 to the nearest integer?\nAnswer: 51811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*p + 961 = 142 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/((-1785)\/(-504)))\/((-15)\/50)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 12. Let d(l) = 7*l**2 + 227*l - 74. Determine d(t) - 6*i(t).\nAnswer: t**2 + 227*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/6 and -49\/298566.\nAnswer: 298566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 218.143773s?\nAnswer: 0.0025248121875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 79672853 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16\/(-40) + (-8)\/30. Let f be (-7 - (-68)\/8)*-2. What is the second smallest value in f, 7, b, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.5117585ng?\nAnswer: 0.0005117585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -14.2. Let t = 1635592.7 + -1635593.89999976. Let i = s + t. Round i to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -123 - -123.3. What is the third biggest value in -0.3, 4, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11, 16, 23, 32, 43, 56?\n\"Answer: u**2 + 2*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z\/(z**30*z)*z**32 assuming z is positive.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 6. Let t be d(19). Let n = t - -580. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/(-2 - -4))\/(-1). Let i(q) be the third derivative of 1\/12*q**4 + 1\/6*q**3 - q**2 + 0 + r*q. Differentiate i(t) wrt t.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1641924 is divided by 1641905.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -63.33793 to 1 dp.\nAnswer: -63.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3\/120*4*(-135)\/(-81)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.96 - 4.46. Let n = 19\/28 - 3\/7. Which is the nearest to -1\/2? (a) 0.3 (b) d (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c\/c**(-3))\/c*c)*c\/(c*(c**2*c)\/c*c))\/(c**1)**43)\/(((c\/(c\/c**(2\/3)))\/c)\/(c\/((c**(2\/5)*c)\/c))*(c**(-2\/5)\/c)**(-4\/5)) assuming c is positive.\nAnswer: c**(-3689\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 4*d - 48. Let p(w) = w**2 + 5*w + 47. What is 5*o(u) + 4*p(u)?\nAnswer: -u**2 - 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**5 - p**4 + p**2. Let j(d) = -10*d**5 + 4*d**4 + d**2. Let i(v) = j(v) + 4*r(v). Find the third derivative of i(o) wrt o.\nAnswer: -360*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 81*h**2*i + 37*h**2 - h*i + 881925*i wrt h.\nAnswer: 162*h*i + 74*h - i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/2*(-6)\/9. Let c be (-1)\/a + 33\/63. Which is smaller: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*l + 1215 = -21*l. Suppose -2*x = -5*s - 865, -x - s + l = 2*s. Is 7 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2292 and 52716.\nAnswer: 52716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kzc when three letters picked without replacement from {c: 1, f: 1, z: 1, k: 5, g: 4}.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -164 (b) -408 (c) 20 (d) 2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2050565 and 372830?\nAnswer: 4101130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -537, -1101, -1693, -2313, -2961, -3637, -4341?\nAnswer: -5073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3141 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 390 and 915?\nAnswer: 23790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(171)*-1 + sqrt(171))\/(sqrt(9) - ((2*sqrt(1296) - sqrt(1296) - sqrt(1296)) + sqrt(9)) - sqrt(9))*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.943165ug to nanograms.\nAnswer: 1943.165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 15*w = 6*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6*(-5)\/(20\/(-12)). Solve -2*r = -8*x + 3*x + o, 2*x + 16 = -5*r for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -m**4\/14 + 4*m**3\/21 + 13*m**2\/7 + 20*m\/7 - 76. Find t, given that i(t) = 0.\nAnswer: -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of n**5\/15 - 14*n**2. Let y(o) = 6*o. Calculate p(y(c)).\nAnswer: 144*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c**3 - 16*c**2 - 20*c - 17. Let o(w) = 26 - w**2 - 16*w + 46*w + 5*w**3 + 25*w**2. Let m(k) = -5*o(k) - 8*z(k). Does 15 divide m(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4581141, 4581136, 4581131, 4581126, 4581121, 4581116?\n\"Answer: -5*b + 4581146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1900 and 9652?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*c = c + 69, 3*c + 81 = 3*q. Let w = q - 13. Suppose 0 = 2*m + 5*v + w, -v - 4 - 7 = -4*m. Solve -3*i + 3 = -m*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14989705.35 - -25\nAnswer: 14989730.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24032, 24395, 24758?\nAnswer: 25121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(10) + sqrt(60)\/sqrt(6)*-3)\/(sqrt(5) - 1*(sqrt(15)\/sqrt(3) - sqrt(5))).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 14. Solve -4*k + 5*k**2 + f*k**4 + 6*k**2 + 19*k**3 - 3*k**2 = 0.\nAnswer: -2, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79763?\nAnswer: 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9001 + 44211?\nAnswer: 53212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/8)*f**4)\/(f**(1\/7)*(f\/(f*f**(-12)\/f))\/f*f) assuming f is positive.\nAnswer: f**(-533\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -3.5. Which is bigger: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 6 = -2*u - 0*u, -u - 7 = 3*k. Suppose u*v + 16 = -2*s - s, 0 = v + 5. Let m = 18 + -13. Sort 4, s, m.\nAnswer: s, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**3 - 68*h**2 - 3*h + 116. Give s(34).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (576\/672)\/(15\/7).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74858, -150193, -225528, -300863, -376198, -451533?\nAnswer: -526868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -12. Suppose -2*z = -6*z. Solve -q*p - 2 = -z*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uubnyxynpppxyu. Give prob of picking 1 n and 1 u.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**5 - 126*q**4 - 474*q**3 - 696*q**2 - 459*q - 114 = 0. What is q?\nAnswer: -38, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -6. Factor -h*x - 3*x - 24*x**2 - 10*x**3 - x - 2*x.\nAnswer: -2*x*(x + 2)*(5*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 84176 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 44952583 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 339\/4 + 23\/92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**4 - 72*y**3 - 388*y**2 - 576*y - 256.\nAnswer: -4*(y + 1)**2*(y + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (252\/30)\/((-26)\/(-20) - 1). Factor 11*r**3 - 25*r**4 + s*r**2 + 12 + 34*r - 6*r**5 + 4*r**5 + 17*r**4 - 11*r**3.\nAnswer: -2*(r - 2)*(r + 1)**3*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 713\/8 + -89. Let f = -0.1 + 4.1. Put i, -2, f in increasing order.\nAnswer: -2, i, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*m + 79 + 452 = 0. Calculate the smallest common multiple of m and (-1 - -6)*(0 + 1).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -922584, -1844275, -2765966, -3687657, -4609348, -5531039?\nAnswer: -6452730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w - 46*w + 8*w.\nAnswer: -39*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1061017879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -8.2443.\nAnswer: 2.47329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + ((-10)\/(-12) - 3) - (-4094)\/18156.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -5*l**3 - 18*l**2 - 36*l + 21. What are the prime factors of f(-15)?\nAnswer: 2, 3, 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1199, 1201, 1205, 1211?\n\"Answer: q**2 - q + 1199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 317725.2 rounded to the nearest one thousand?\nAnswer: 318000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h + 166. Let y be m(34). Suppose t - 165 = -4*k, k = -26*t + 28*t + y. What is the greatest common divisor of 110 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 8:10 AM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 11, 19, 31?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-5)*f)\/(f*f*f**(-4\/5)*f*f))\/(((f\/(f\/f**(-1\/4))*f)\/f*f)\/f)**(-44) assuming f is positive.\nAnswer: f**(-91\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 857453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -9*t**4 - 8*t**3 + 17*t**2 + 13*t. Let j(i) = -6*i**3 + 6*i + 147*i**2 + 2*i**3 - 4*i**4 - 139*i**2. Let o(r) = -13*j(r) + 6*u(r). Factor o(a).\nAnswer: -2*a**2*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**3 + 346*r**2 - 45*r + 7431. Determine s(173).\nAnswer: -354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.408 to zero dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 246*b - 4. What are the prime factors of a(1)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 49, 50, 49, 46, 41, 34?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 561 and 176.\nAnswer: 8976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*r + 16. What is the third derivative of 13*i + r*i**6 - 3*i**2 - 13*i wrt i?\nAnswer: 360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 22618*n - 3515. Is j(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-189))\/(1\/30)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - 10 - (-3 + 9 + (10 - 18) + 18)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 2 c, and 1 g when four letters picked without replacement from {u: 1, g: 8, c: 3, p: 3, s: 5}?\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 18.4. Let t = 0.6 + 0. Let z = g + t. Is z <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11270 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 985476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2 + 5*y - 4. Let k be s(1). Suppose 113 = 3*x + 131, -u - x - 4 = 0. Solve -5*o - 3*a = 13, o + k - u = a for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 times -182?\nAnswer: -2184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(304) + 1)**2 - sqrt(304)) + sqrt(304) + sqrt(304).\nAnswer: 12*sqrt(19) + 303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -4*i + 28. Let m be o(7). Suppose -2*r + 3*w + 2 + 0 = m, -3*r + 2*w + 8 = 0. Suppose -r*a = -260 + 12. Is 44 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w + 7*w + 11*w + 50 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 789\nAnswer: 2\/789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 5*d**2 + 4*d + 1. Let l be i(3). Suppose -4*p = a + 32, 2*p + l = -3*a - a. List the prime factors of 804\/(-8)*8\/a.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 543*u - 886*u. Solve -10*q - 40 = -u*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 + 210?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*u, r - 4*r - 4*u + 40 = 0. Suppose 2*j + 3*g = -10, -j - 4*g - 12 = j. Calculate the least common multiple of 72\/180 - ((-38)\/5 - j) and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 0*c + 0*c - 1)*((7*c**2 - 44*c**2 - 12*c**2)*(3 + 2 - 4) - 4*c**2 + 2*c - 2*c).\nAnswer: 159*c**3 + 53*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4103000 rounded to the nearest 100000?\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3) + -15 + (-440)\/(-24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 26*t**2 + 27*t - 59. Is g(-23) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -13\/188 (b) -0.1 (c) -1 (d) -34\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 2134585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**2\/3 - 276*r = 0.\nAnswer: 0, 414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000635645 rounded to 6 dps?\nAnswer: 0.000636","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/25 and -26\/25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2189 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 10:43 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (5104\/48)\/29*3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**2\/5 + 7360782*o\/5 + 7360777 = 0. What is o?\nAnswer: -7360777, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -131002?\nAnswer: -130442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -5*k + 134, 4*l - 53 - 111 = -3*k. Does 8 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - p**2 + 11*p - 4. Let q be b(-4). Solve -4*i - 2*h = -12, 0*i + 4*i + 5*h - 18 = q for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/4)*r**20)**18 assuming r is positive.\nAnswer: r**(711\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**2\/9 - 11818*l\/9 - 3940\/3 = 0.\nAnswer: -1, 5910","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 3*l + 3 + 25, 2*c - l + 4 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3024 and 2352483?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f + 7. Let n(q) = q - 2. Let i(r) = 7*n(r) + 2*v(r). Let h(m) = -m**2. Determine i(h(g)).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-35371)\/(-80848)*4\/(-42)\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 535497883.\nAnswer: 535497883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 11:42 PM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 8309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24370 and 1655.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 408972 * 0.4\nAnswer: 163588.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(300)\/(sqrt(294) + sqrt(6)))\/(sqrt(10)*-1*4).\nAnswer: 3*sqrt(5)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*(-6*5\/20 + -1). Let l = -103\/3 - -35. What is the closest to -1\/2 in 0.3, l, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29068802?\nAnswer: 2, 7, 229, 9067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -617 - -950. What are the prime factors of s?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - (-20 - (29 - 10)))\/7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7356\/54 - (2\/9 - 0). Let h = -128 + w. Solve 2*p - h = 0, p - 29 = -5*n - 0*p for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -684 * -0.026\nAnswer: 17.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1056 a factor of 50888640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -97479887 - 45\nAnswer: -97479932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 a factor of 1210020500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-236)\/56*(-3 - (-137)\/45). Let i = 2\/45 + s. Put i, 2\/3, 0, 1\/3 in decreasing order.\nAnswer: 2\/3, 1\/3, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -25*p**3\/3 + 433. Let x(h) = 42*h. Calculate u(x(a)).\nAnswer: -44100*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4627\/40 + 885\/8. Find the common denominator of g and 853\/126 - 4\/(-14).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/6 - (-8)\/3. Let f = -3933 + 3831. Is f\/(-4)*4 + (4 - o) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 2*n + 3. Let k be d(-2). Suppose -25 = k*q - 8*q. Let y(p) = -p**2 + 5*p - 7. Give y(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 4*f - 122. Suppose 4*k - f = -x, -x - 14 = -k - 3*x. What is the lowest common multiple of 22 and k?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4\/11 - 280922*u**3\/11 + 561838*u**2\/11 - 25538*u.\nAnswer: 2*u*(u - 140459)*(u - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p = 23 + 45. Put 0.4, p, 1\/3, -3\/40 in descending order.\nAnswer: p, 0.4, 1\/3, -3\/40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1265 < -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 45762, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: -22 divided by 8106\nAnswer: -11\/4053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 3305?\nAnswer: 3300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -475 from -21934800.\nAnswer: -21934325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -152235143?\nAnswer: -152235150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -24525800 rounded to the nearest one million?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 5 = -m - f, -f = 4*m + 14. Let x be (-1 - 8\/m)*3. Let k be (1*-14)\/(x\/30). Round k to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 10 = k. Calculate the remainder when 18 is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - k**2 + k + 2. Calculate m(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 29922\nAnswer: -29926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w + 2. Let j = 50 - 87. Let l = j + 71. What is the remainder when l is divided by m(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-165))\/((-3)\/15 + 0)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -27\/214?\nAnswer: -27\/214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 8*v**2 + 30*v + 1154. Let c be d(-42). Which is smaller: c or 14007?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**(-3)))\/f**6)**(-9)\/((f\/(f*f*f*f*f**(2\/7)\/f*f))**(3\/10)\/((f*f*f**(-1)\/f*f)\/f)**(-7\/9)) assuming f is positive.\nAnswer: f**(1959\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/(2000\/(-48)))\/(4\/21*12\/320)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*i**2 + 10*i - 14*i + 4*i)*(1 + i**3 - 1).\nAnswer: 20*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-12))\/(35\/30).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 13, 0.04, -0.5, -2 in increasing order.\nAnswer: -3, -2, -0.5, 0.04, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*l, s + 5*l - 3*l = -0*l + 56 + 7 - 5 for s.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 37*q + 2 - 3 - 45*q + q**2. Let s be c(7). What is the remainder when 19 is divided by (42\/(-9))\/(s\/12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.7 and 0.053.\nAnswer: 0.2491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 23472, 46703, 69934, 93165, 116396?\n\"Answer: 23231*u + 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9481405?\nAnswer: 5, 23, 29, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1275868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*m**2 + 15*m**2 + 8*m - 4*m - 27*m to i + s*m**2 + q*m and give q.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -5.65. Let g = -0.05 - u. Let c = 1.5 - 0.5. What is the nearest to c in 0.2, g, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -10079*i - 90718. What is r(-9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/560 and -57\/112.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*q - 254 = -2*q, -2*a + 5*q = -254. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*m + 4. Suppose m = k + k. Let y(n) = n**3 - n**2 + n. Let x be y(2). Solve -x*p = -k*p + 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22012 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(350\/10)\/7. Let h(b) = -4*b - 2. Let s(w) = w. Let m(i) = h(i) + 5*s(i). What is m(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 2\/7, -0.02, 22, -3\/103, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*a + 4*m, -3*a - m + 2 = -4*a. Let i = 2642 + -2644. Sort 2, i, a, 4 in increasing order.\nAnswer: i, a, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(76) - sqrt(19)) - 5*(3 + sqrt(19))) + 1*(1*sqrt(19) + sqrt(19) + -5 + -5))**2.\nAnswer: -50*sqrt(19) + 644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -54 - -134520?\nAnswer: 134433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2148609, -2148606, -2148601, -2148594, -2148585, -2148574, -2148561?\n\"Answer: q**2 - 2148610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1013 - 69*d**4 - 23*d**4 - 1049 wrt d.\nAnswer: -368*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 + -42. Let o = l + 46. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4335, 2737, -1599, -10041, -23957, -44715, -73683, -112229?\nAnswer: -161721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -28a?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*s + 45*s + 6*s = -22*s - 2674 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000011010110 (base 2) to base 6.\nAnswer: -31542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.5014, -59, 2\/7?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 77*w**3 - 2*w**2 - 6*w + 43. Is 188 a factor of j(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*1)\/(62\/(-93))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, t: 11}. Give prob of sequence nnnn.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1544608 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 10*a + 19. Let r be v(8). Let n(w) = w**3 - 7 - 6*w**2 - 6*w**3 + 4*w**r. Calculate n(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 plus -1.45?\nAnswer: -78.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12541.40401 * 2.\nAnswer: 25082.80802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 34 = -z - 5*l, -5*z - 4*l - 166 = 0. Let s = -16 - z. Find the third derivative of 5 - 13 + 26*w**3 - s*w**2 + 25*w**3 + 6 wrt w.\nAnswer: 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*d - 18*d + 8*d)*(-2*d**2 + 4*d**2 - 4*d**2).\nAnswer: 42*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7130699?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z + 1. Let o(u) = u**2 - 6*u + 7. Calculate 2*o(t) - 14*p(t).\nAnswer: 2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-57)\/3 + (2 - 2). Let v = -11 - a. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 806\/(-117) + 2\/((-18)\/1). Let z(p) = p**3 + 14*p**2 + 12*p + 30. List the prime factors of z(t).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.49, 3\/4, 3, -0.08, 2\/9 in descending order.\nAnswer: 3, 3\/4, 0.49, 2\/9, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105 a factor of 3344835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4712, -4676, -4608, -4502, -4352, -4152, -3896, -3578?\n\"Answer: c**3 + 10*c**2 - c - 4722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.38 (b) 2\/15 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -8\/21*u**3 + 0*u**2 + 0*u - 2\/21*u**6 + 3\/7*u**4 + 1 + 0*u**5. Factor a(m).\nAnswer: -4*m**2*(m - 1)**2*(m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -301 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/1495 (b) 3 (c) 6 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 11241?\nAnswer: 11231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.19957262 rounded to three decimal places?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2555 and 1825?\nAnswer: 12775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 465981434 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -111110101100000011 (base 2) to base 9\nAnswer: -431201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 204*p - 205*p = 2958, 3*m = -4*p + 2958. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 289 - 205. Suppose -t = -333 + d. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j + 1. Let n be c(3). Let m(g) = -19*g - 4. Let p(h) = 96*h + 19. Let r(i) = 11*m(i) + 2*p(i). Is r(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2273669*a + 141*a**2 - 145*a**2 + 9 - 4547338*a + 2 + 2273669*a.\nAnswer: -4*a**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2215? (a) -2 (b) 6\/7 (c) -203 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -675 + 677.79. Let q = f + -3.6. What is q rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 13. Let j be 2775\/b - (-3)\/(-7). Let y = -281 + j. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.01 + -0.11. Let q = -1.12 - m. What is the closest to q in 5, 1\/5, 0.3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k - 3*k + 3*k + (3*k - 2*k + k)*(-3 + 5 - 3) + 31*k + 80 - 80 - 3*k + 0*k + 8*k + 2*k + 0*k + 0*k - 9*k + 9 - 9.\nAnswer: 25*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2963*c + 6611 = -2362*c for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 12*q - 6*q - 9*q - q**3 + 1 + 2*q**2. Let b = 105 + -73. Let s(j) = -2*j + b + 35 - 66 + 2*j**2. Calculate 2*p(n) - 3*s(n).\nAnswer: -2*n**3 - 2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2 = -4. What is the remainder when 60 + -13 - (-3)\/(3\/t) is divided by 6\/4*130\/15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**4 - 2*i**4 + i**4 + (-768*i**4 + 109*i**4 - 56*i**4)*(-4 + 3 - 1).\nAnswer: 1428*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - 5*(-4 + 36\/15). Solve q*s = -145 + 117 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 10:07 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 150\/45*(-12)\/(-10). Solve r - 15 = -3*u, -y*u + 8 = -4*r - 12 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a**4\/a)*a)\/a**(-1))**(17\/4))**(-2\/19) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 - 28. Let g(b) = -b**3 + b**2 + b + 29000000. Let z be g(i). What is z rounded to the nearest one million?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/540 and 127\/360.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6814192*f**2*x**3 - 73336*f**2*x + 2*f**2 - 369*f*x - f wrt x?\nAnswer: 40885152*f**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - -6) + -2 + 115. Calculate the greatest common divisor of r and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 265 + -126. Let w = r + -46. Calculate the remainder when w is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (20\/1)\/((-13)\/(39\/(-6))) and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 216192955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/3 - 1474*i**2\/3 + 222641*i\/3 + 224116\/3.\nAnswer: (i - 1303)*(i - 172)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 16119.61478 to zero decimal places.\nAnswer: 16120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72422?\nAnswer: 2, 7, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2 + 7*y + 3. Calculate c(6).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -7, -1, -3, -2, -12 in increasing order.\nAnswer: -12, -7, -5, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 30403 (base 7) to base 10\nAnswer: 7402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 273*i - 541. Let f be w(2). Solve 2*o = 5*y + 3, -2*o - f = 2*y + o for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*u**4 + 1413*u**3 + 26927*u + 1 wrt u?\nAnswer: -60*u**2 + 8478*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 h, and 1 v when four letters picked without replacement from {v: 1, a: 6, k: 4, h: 3, n: 1}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31006351?\nAnswer: 17, 1823903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-125)\/3250 + (-3)\/(156\/4106).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26327398.4936 plus 4?\nAnswer: -26327394.4936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 4*n - 12, -5*w + 3*n - 5 = 10. Let p be 0\/(1 + w) - (-91 + 0). Let m be (-26)\/p - 177\/(-7). Calculate the greatest common divisor of m and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3 = 0, c + 2*d = 3*c. Let g(r) = 6*r**2 - 132*r + 458. Let q be g(18). Is q > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -16 + 4 + (-2 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -67*t**7\/210 + t**5\/2 + 41*t**2. Find the third derivative of o(z) wrt z.\nAnswer: -1608*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -4*s - 288, 4*m + 2*s - 57 - 189 = 0. Suppose 2*o = -0*o - 5*a - 175, -o + 3*a - m = 0. Let d = o - -75. Solve b = -d*b + 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48 - 23. Find the third derivative of -40*t**4 + 11*t**2 - 2*t**2 + u*t**4 wrt t.\nAnswer: -360*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 2 + b**3 + 172*b**4 - 174*b**4 - 2*b**2 in the form t*b**2 + k + l*b**4 + c*b + z*b**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1456175 divided by 4?\nAnswer: 1456175\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -14403 (base 6) in base 10?\nAnswer: -2307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38 - 54. Is -16 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 0*i + 0 + 1\/3*i**3 - 1\/3*i**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -313 - -202?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29 or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + sqrt(1872)) + ((sqrt(91)*-2)\/sqrt(7) - (sqrt(13) + 2*sqrt(13))**2*5).\nAnswer: -591 - 38*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10471.5l in millilitres?\nAnswer: 10471500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g - 1. Let p = 14 + -12. Suppose p = x, -z - 3*x = -0*z - 7. Let h(l) = -2*l**2 + 6*l + 6. Let q = 26 + -20. Calculate q*a(j) + z*h(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1039 (base 12) to base 3.\nAnswer: -2102200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 13. Let h = 24 - b. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000019482367 rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 v when three letters picked without replacement from {s: 1, b: 6, x: 1, v: 4, a: 3, o: 1}?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110110011101000 (base 2) to base 7.\nAnswer: -144166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/9718 and -6\/23969447?\nAnswer: 47938894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -1.076\nAnswer: 4.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0010471532 to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(54)\/sqrt(144)) + -5.\nAnswer: -5 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 7*r**3 - 2*r - 1. Let c be j(-1). Let w be ((-28)\/c)\/(-2) + 3. Solve 2\/3*s**5 + 0 + w*s**3 + 0*s + 0*s**2 - 4\/3*s**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 35980 from -11828.\nAnswer: -47808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 4200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*k**3*q + 173*k**3 + 2*q + 12 wrt k?\nAnswer: -6*k**2*q + 519*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -15*d - 18. Let g be s(-6). Suppose -2*f = g - 84. Calculate the remainder when (-15)\/10*f\/9*-20 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/((-25)\/975*-39).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 j, and 1 n when three letters picked without replacement from laajanlnjjjq.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -287 and -14249.\nAnswer: 4089463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, -14\/425, -5, 4.\nAnswer: -5, -5\/3, -14\/425, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136 = 540*x - 265*x - 2889 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e, 1 w, and 1 y when four letters picked without replacement from yeeemeyewyyy?\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6793776?\nAnswer: 2, 3, 11, 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*q**3 - 4 + 370*q**3 + 33 - 29.\nAnswer: 305*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 133919 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15585, -31165, -46745, -62325, -77905?\nAnswer: -93485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of 4*p**2 + 0 + 1\/12*p**4 + 2\/105*p**7 + 0*p**6 + 0*p + 0*p**3 + 0*p**5. What is the second derivative of f(t) wrt t?\nAnswer: 48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -26*y**3 - y**2 + y + 1. Let k be p(-1). Let w be 2\/(-8)*(-5 + -87). Is k at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that m**3\/2 + 180*m**2 - 361*m\/2 = 0.\nAnswer: -361, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -7*f**2 + 4*f + 45. Let w(z) = -9*z**2 + 5*z + 45. Determine 5*d(i) - 4*w(i).\nAnswer: i**2 + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 11:35 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2 - 2*y. Let i(n) = -2*n + 4. Let b be i(3). Let u(o) = -6*o**2 + 6*o. Let g(m) = b*u(m) - 7*f(m). Factor g(t).\nAnswer: -2*t*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -4, -0.239, 12\/13, -55\/7?\nAnswer: -0.239","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -947, -989, -1031?\n\"Answer: -42*v - 905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of 0*t**4 + 1\/15*t**5 + 0*t - 8333\/60*t**6 + 0 + 0*t**3 - 2*t**2. Let b be p(-6). What is b rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -72*r + 8*r + 39168. What are the prime factors of r?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000026442 rounded to 7 dps?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-20)*5380\/(-174312)?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0040258 rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*p - 3*c - 517 = 0, 291 = 3*p + 3*c. Calculate the remainder when p is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 111\/5. Let j = 2.8 + -3. Let t = 0.3 + j. What is the closest to t in z, -0.1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*n**4 - 117890*n**3 - 84196*n**2 + 33680*n = 0. What is n?\nAnswer: -8420, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + 0.0789.\nAnswer: 0.5789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1030.2324 - 5122.048. Let m = s - -6151. Let h = -1.3 - m. What is h rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -391.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -1\/55249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -140*j**2\/9 + 230406*j - 1036792\/9.\nAnswer: -2*(2*j - 1)*(35*j - 518396)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, 3, 10, 1, -30, -89?\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -575 + 579. Suppose -2*d = -5*s + 9, -d = o*s - 6*s + 4. Which is bigger: s or 4\/9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 7:00 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2 - 16*u + 4*u + 7 - 3. Let a be i(-3). What is the tens digit of 0 + a - 9\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*s**3 - 33*s**3 + 30*s**3 + (-2*s - 2*s + 3*s)*(s**2 - s**2 + s**2) + 2*s - s**3 - 2*s as f*s + g*s**2 + k + q*s**3 and give q.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 65312.\nAnswer: 326560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + p = -11, 3*p + 87 - 88 = 2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a week in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**3 + 88*w**2 - 94*w + 112. Determine h(43).\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + i + 2. Let h be 5 + 40\/(-28) - 4\/7. Suppose -h*m = m. Calculate b(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 9*u - 186. Let o be r(26). Let l be (-6)\/(-2) - o\/16. Solve -h - 5*n + 4 = 11, -3*h - n + 7 = l for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6651\/(-739)*(-2)\/4)\/((-1)\/4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of 5*y - 1\/9*y**3 + 0*y**2 - 1\/18*y**4 + 0. Determine x so that a(x) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1445431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*a + 1498218 = 75*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k + 18. Let f be h(-7). Suppose 6*p - 1 = f. Let w be 2*(-4)\/(0 - p). Which is the third biggest value? (a) 0 (b) 6\/11 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**3 - 4*x**2 - 2*x + 3. Suppose -v - 62 - 48 = -3*p, -2*v = -3*p + 112. Let q = -40 + p. What is the tens digit of t(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - -2 - (-2)\/2. Let c be (-10)\/(-2*h\/708). Round c to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-211)\/(4\/(2 - 6)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of h**4\/12 - 3291*h. Let u(y) be the second derivative of 4*y**3\/3 + 16*y. Calculate q(u(c)).\nAnswer: 64*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 115.4397 rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 16 = 2*q. Suppose u - 76 = -w, q*u - 82 = u + 5*w. Let l be (-3)\/u*26 - (-32)\/112. Do l and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4\/2 + 4*t**3 + 9*t**2\/2.\nAnswer: -t**2*(t - 9)*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 27742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -9. Let g = u + 9. Let n = 6.5 - g. Sort -0.2, -0.4, n.\nAnswer: n, -0.4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/11)\/(x\/(x*x\/x**2))*(x**(-1\/4))**28*(((x\/x**(1\/10))\/x)\/(((x*x\/(x\/(x*x**2*x))*x*x)\/x)\/x))**(30\/7) assuming x is positive.\nAnswer: x**(-2306\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (220\/3080*(0 - -14))\/(2\/(-4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, w: 2, j: 3}. Give prob of picking 2 j.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 98800.92 kilograms in nanograms?\nAnswer: 98800920000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 i when three letters picked without replacement from pxinngi?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -7*s - 11*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 859. Give f(52).\nAnswer: -1845","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 66.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6\/19151 - 37478465\/134057. Let g = -280 - j. What is the third smallest value in 2\/7, 1\/5, g?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 1, -189\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 17, n: 3}. What is prob of picking 1 n and 1 w?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**5\/5 - 39*q**4 - 796*q**3\/5 - 16*q**2\/5 + 3168*q\/5 + 3184\/5 = 0.\nAnswer: -2, 2, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 213 - 147. Calculate the remainder when 121 is divided by l.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20490 - 20505.729. What is w rounded to 1 decimal place?\nAnswer: -15.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 371*c**2 + 1458*c + 13. Give p(4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 86433669 and 2751?\nAnswer: 2751","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 6:40 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 802924 is divided by 137?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p + 3*p**2 - 2*p + 0*p**2 + 5*p**2 to the form l*p**2 + c + g*p and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b + 81. List the prime factors of u(24).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(5\/6)\/q)**(-2)\/(q**(-42)*q\/((q*q*q**(5\/3))\/q)*q) assuming q is positive.\nAnswer: q**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31490042, -31490043, -31490044, -31490045?\nAnswer: -31490046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5508 times 1994?\nAnswer: 10982952","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Is 996359683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 234*y**2 - 15*y + 16. Let t = -131 + 122. Is l(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 5*m**2 - 2*m - 1. Let l be j(4). Suppose t + 3 = o + 2, -5*o + l = -4*t. Solve 0 = o*z + 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 81420\/45 + (-12)\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/9, 0.1, 31, -1\/2?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(1216) - (-5*(sqrt(1216) + -3) - sqrt(1216))) + sqrt(1216))*5 - ((sqrt(1216) + sqrt(1216) + -2*(sqrt(1216) + -1))**2 + 0)) + -1.\nAnswer: -80 + 320*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of 0 - j**2 - j + 0*j**5 + 7\/30*j**6 - 26\/3*j**3 + 0*j**4. Differentiate q(u) wrt u.\nAnswer: 84*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 62*k**3 - k**2 + 1. Let h be w(1). Let r = h - -5. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5*d + 37 = 2, -2*t - d - 28 = 0. Let x(k) = k**2 + 17*k + 49. Calculate the remainder when 54 is divided by x(t).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 153404413 (base 6) to base 2\nAnswer: 1100011001110010111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(567))**2*-5 + sqrt(567) + 2 + sqrt(567) + sqrt(567) + 1.\nAnswer: -2852 - 153*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-7) + -6*(-78)\/126. Let 3*i + 3*i**3 + i**j + i - 5*i**2 - 2*i - i**5 = 0. Calculate i.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/5 - (-6)\/5*2. Suppose 2*j + j = -6, -3*k + l*j = -2590. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2610, -20970, -70806, -167856, -327858?\nAnswer: -566550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -7*v - 3*g + 22, -11*g = -99. Which is the nearest to 6\/17? (a) v (b) -0.6 (c) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 70\/90 - 2\/(-9). Let q be 2*p\/(-2)*3. Let b = 52 - 40. Put q, b, -5 in decreasing order.\nAnswer: b, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 2. Suppose 0 = -2*u + u. Suppose 5*q + r*q - 65 = u. Is q a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9876*s = 5*f + 9873*s + 135, -3*f + 71 = 2*s for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -3 + 4 + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 99?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 3) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.2 + -0.2. Let u = -6 + -9. Let k be 54\/u - 2\/5. What is the nearest to 1 in w, k, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/(-22))\/(3\/(-3)). Solve 5*v - 8*v + 9 = q for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 0 - (9 + -3 + -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 49\/15 less than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 101905966?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = -24*g - 10*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 10*k + 50. What is h(12)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-2) + (33579\/(-492))\/((-3)\/2). What is the greatest common factor of 18 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 2*c - 9461, 4*i - 47466 = -3*c - 9632. Suppose -o = f - 3157, -3*f = -0*f - 4*o - i. Suppose 2108 = 2*q - t, 3*q + 0*t = 5*t + f. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, g: 5}. What is prob of sequence gggg?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)\/(sqrt(4)*2) - 1*(sqrt(44) - sqrt(440)\/sqrt(10)))\/(((sqrt(4)*1 - sqrt(4))*1 + (sqrt(8)\/sqrt(2) + sqrt(4))*3)*-2).\nAnswer: -sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85924320*s - s**3 + 36*s**3 - 42962159*s - 42962161*s.\nAnswer: 35*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 18, -5, -4.\nAnswer: -5, -4, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**2 + 51*z - 31. Let p be x(25). Let w be 4*4\/(-8)*-1. Let l be (-3)\/(p\/4) - w. Solve l = 3*i + 7 - 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 8, u: 3}. Give prob of sequence lul.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 z, and 2 t when four letters picked without replacement from zettettetet.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/48 and -71\/21.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13\/4 in 0.1, -0.3, 2\/11, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2764531823?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47 - -111. What is c rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 21 = c, -c + 0*l + 19 = l. Solve 2*m + 5*t = -m + 10, -5*t = 5*m - c for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16b19 (base 12) to base 8.\nAnswer: -77705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) -0.8 (c) 2\/11 (d) -2\/91\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 5*z + 3 = 24, 3*z = -3*r - 9 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/7 - (-984)\/(-14). Calculate the common denominator of (8\/(-18))\/((-18)\/(-621)) and (y\/(-24) + -2)*21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 3)*(10 - 0)\/(-20)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 8:03 PM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/288811 and -9\/253.\nAnswer: 3176921","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32938273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d - 37 - 39 = -4*d - 104 + 36, 0 = -8*w + 7*d - 126 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (236 - 1)\/(190\/76). Let t(w) = 17*w + 1. Let s be t(-3). Let x = y + s. Calculate the highest common divisor of 22 and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -161*q**5 - q**2*u**2 - 497*q*u**2 wrt q?\nAnswer: -3220*q**3 - 2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 + 15. Let a be (-165)\/(-378) - b\/21. Let z = a - 17\/9. What is the common denominator of -32 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 479*i - 483*i + 5588 = 0. What are the prime factors of i?\nAnswer: 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18766, -37530, -56294, -75058, -93822?\nAnswer: -112586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55857.\nAnswer: 3, 43, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1672 divided by -2\nAnswer: 836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1316099 != -1316096?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d + 1. Let q be w(1). Suppose q*c = -0*c + 170. Suppose -2*y + 2*m = -c, 5*m = -4*y - 0*y + 77. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 153 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -13\/2, 0.02, -1.3 in descending order.\nAnswer: 0.02, 0, -1.3, -2, -13\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13581818*b - 14*b**2 + 44*b**2 - 13581818*b.\nAnswer: 30*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*h = -16. Let d = h - 7. Let w = -2 - 3. Sort d, w, 3 in decreasing order.\nAnswer: 3, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3868640934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -y - k + 31, 2*y - 2*k = 22. Let m(l) = y + l**2 - 8 + 1. Let t(r) = -12*r**2 + 6. Let b(n) = -1. Let g(v) = 6*b(v) + t(v). What is m(g(s))?\nAnswer: 144*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 4:55 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(1230\/5*(-47)\/(-141))?\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/600584 and 73\/16?\nAnswer: 1201168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 4*v - 3. Let n be z(-5). Let k(g) = -2*g + 1. Let m(h) = -8*h - 3. Let t(u) = 2*k(u) + m(u). Is t(n) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 10*t + 1. Give r(-2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -440255 (base 6) to base 3\nAnswer: -1211220222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 115\/3*o**2 - 20\/3 - 11*o**3 - 88\/3*o = 0.\nAnswer: -2\/11, 5\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -2\/9 (c) 4\/5 (d) -13\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.229 times -732983\nAnswer: -167853.107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1717*o + 2283*o - 4476*o.\nAnswer: -476*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/2)\/((165\/(-18))\/(-55))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 1 + (-10)\/(-14) + -2. What is the closest to 3 in 2\/7, f, -2\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzozvvovzzzvz. What is prob of sequence oo?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5532255 a multiple of 440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 112608194 to the power of 1\/4, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/(-51)*7\/42.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-29\/4)\/i**18 assuming i is positive.\nAnswer: i**(-101\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w - 3*z - 9371 + 9463, 0 = 20*w - 5*z - 540 for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -206, -1, 2\/9.\nAnswer: -206, -1, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 228*h**4 - 62607*h**3 - h**2 + 64780*h + 1 wrt h?\nAnswer: 5472*h - 375642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -6*d + 15. Let g be ((-45)\/(-12))\/1 - d. Determine r so that 0 + g*r**3 - 1\/2*r**2 - 1\/4*r**4 + 0*r = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 306 - 288. Calculate the highest common divisor of 102 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t**5\/17 - 526*t**4\/17 - 61056*t**3\/17 + 9752*t**2 - 4896*t = 0.\nAnswer: -68, 0, 2\/3, 2, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9646279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7.19 + 201316\nAnswer: 201308.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is bad446 - -5?\nAnswer: bad44b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6066*z + 7310*z + 87812 = 14890*z for z.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 31*q - 55. Let w be v(-27). Let m = -32 + w. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -129*r**3 - 4*r - 3. Let u(z) = -258*z**3 - 9*z - 7. Calculate -9*l(x) + 4*u(x).\nAnswer: 129*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1227 divided by -3.\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8056469.\nAnswer: 8056469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iiiiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -94\/33 - -24\/11. Let c = -2328 - -2327. What is the second biggest value in 0.3, c, -1\/3, o?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 409 a factor of 1162268797?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 21, 858 in ascending order.\nAnswer: 4, 21, 858","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 13 - 3\/6*-2. Does 13 divide 21\/m + (-342)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -249 + 251. Suppose -b + 445 = -l*n, 2*b - 887 = -2*n + 3*n. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9759*d + 10024*d = -3180 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t = -22910 + 7040. Suppose -4*v - 2507 = -5*l, -4*l + 435 = 5*v - t. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 15. Solve 5*j + 5*c - 20 = 0, -5*j + 10 = -j - m*c for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14703869 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 936 is divided by 452?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (-73 + 19 + 49).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pqapaqqqa. Give prob of picking 2 q and 2 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 304 and 15286296.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.005131 + -1078714346.\nAnswer: -1078714346.005131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1441049346 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41 (base 12) to base 6.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 4*z**2 - 3*z - 1. Let f be s(3). Let i be 0 + 2 + (f - 1). Suppose i = -d + 14 + 6. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9605190 rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 56*r**2 - 102*r + 1523. What is the thousands digit of q(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139.471416s in days?\nAnswer: 0.0016142525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 3*l = 4*n + 126, -827*l + 831*l + 136 = -4*n for n.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -9581.6557 to the nearest one hundred.\nAnswer: -9600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-105)\/9) - 424\/56.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*v - 27*v = 3*g - 251982, v = -3*g + 252002. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 509*y + 328*y + 336*y. Let h(v) = -v. Determine h(q(m)).\nAnswer: -1173*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 1\/8, 249?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 28*l - 89. Determine d(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 56 + -94bc?\nAnswer: -9466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37204 + -13021339\/350. Find the common denominator of -19\/63 and t.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5322834.3 times 0.1\nAnswer: 532283.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4*b**3 - 5*b**2 + 3. Let r(h) = -9*h**3 - 9*h**2 + 5. Let q(w) = 7*c(w) - 3*r(w). What is q(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 + 84 = -v. Let l be (-2)\/(-1) + (0 - v). Suppose -2*m + 100 = -o, -3*o + 8*o = 3*m - l. What is the highest common divisor of m and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 335 = -105. What is the remainder when x is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172.732 meters in centimeters?\nAnswer: 17273.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -3\/2 (c) 8 (d) -2\/21 (e) -18\/983\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5355 and 70605?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -49*m**2 + 16*m - 28. Give x(2).\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*d - 281*d - 63 = 0 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/56, -18\/343, 1\/7, 0.2 in ascending order.\nAnswer: -18\/343, 3\/56, 1\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 882*j - 829*j - 424 = 0 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4158?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 7. Let t be k\/(-7) - (-11)\/14. Which is the closest to t? (a) -5 (b) -2\/15 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (571*q - 885*q - 921*q)*(5*q - q + 0*q) as w*q + y*q**2 + g and give y.\nAnswer: -4940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4102534*s**3 - 2051270*s**3 - 2051268*s**3.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001110110100101101001 (base 2) to base 9.\nAnswer: -4766046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -7*q**2 + 340*q - 5. Let l(c) = -3*c**2 + 171*c - 3. What is 4*i(n) - 7*l(n)?\nAnswer: -7*n**2 + 163*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6 - -6)\/(1 + 5 + -7). Solve 5*y = 2*w - f*y - 14, 3*w + y = -13 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - 1*sqrt(110))*-6 - (-4*sqrt(110)*1 - sqrt(110)))\/((sqrt(90) + sqrt(90)*-2*4 + sqrt(90))\/(sqrt(576) - sqrt(9))).\nAnswer: -35*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 + -19.00044. What is a rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110654 is divided by 87.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20800 and 2847.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1076*w = -2753*w - 172305 for w.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9506545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 3838*k + 362871. Calculate v(97).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23878 at least as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -1897*z - 348. Let a be l(7). Round a to the nearest one hundred.\nAnswer: -13600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64209 divided by 1.\nAnswer: 64209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1076\/(-144) - 156\/5616)\/((-3)\/(-32)).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 698 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -878*p + 0 + 14 - 380*p - 11 as m + o*p and give o.\nAnswer: -1258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 5:09 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -19283, -77189, -173689, -308783, -482471, -694753?\n\"Answer: -19297*d**2 - 15*d + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7883.331 nanograms in milligrams?\nAnswer: 0.007883331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -434*b**2 + 771?\nAnswer: -868*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -5. Suppose a*y = 26 + 51. Suppose -v = -b - 6*v + 24, 2*b - 4 = v. What is the remainder when y is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/29 (b) -3.012 (c) -0.36 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*s**2 + s**2 + 5*s**2 + 4*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1328 = -5*x + x. Let d be (270\/(-20) + 13)*-954. Let c = d - x. Calculate the highest common divisor of c and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1033147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001587951 rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -21*p + 10*p. Does 14 divide (-3)\/p + (500 - (16 + -7))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 5:17 AM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 11:10 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 61242, 242574, 544800, 967926, 1511958, 2176902, 2962764?\n\"Answer: t**3 + 60441*t**2 + 2*t + 798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3, 32.\nAnswer: -6, -3, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-90)\/20)\/((-39)\/(-18) - 2).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -21*w - 2. What is h(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 46*q**2 + 19*q + 138. Let t(c) = 23*c**2 + 10*c + 70. Let n(s) = -4*p(s) + 9*t(s). What is the remainder when n(-4) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*n = -142*n - 464*n + 3856 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -874.5 + 874.9. Which is the fourth smallest value? (a) m (b) 2 (c) 49\/5 (d) -2\/5 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/6*-3*3. Let b = -8 + n. Let x(z) = -z**3 + 8*z**2 - 6*z. Is x(b) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -71*r**8\/336 + r**4\/4 - r**2 - 19*r. What is the second derivative of i(c) wrt c?\nAnswer: -1420*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 3*h = -12, 3*f - 2*f - 2 = -h. Solve -f*r - 1 = -2*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3487002 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23981?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 441421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 344*y**3 + 7 + 2622*y**3.\nAnswer: 2966*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 20 = 2*m, 0 = -2*i - 2*m + 150. Is 18 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 5*u - 49 + 14, 5*u - 5 = w. Let z = 5 + w. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-240)\/(-25) - (-128)\/(-80).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ixuu. What is prob of sequence uui?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -59886566*j*p**3 + 5246*p**3 - 10*p**2 + 18*p + 2 wrt j.\nAnswer: -59886566*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r\/(r**(-1\/3)\/r)))*r)**(-2\/47)\/(r**(-1\/4)*r**(1\/2)))**(2\/37) assuming r is positive.\nAnswer: r**(-221\/10434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**3 - 384077*m**2 - 4609032*m - 13827204 = 0.\nAnswer: -6, 384089","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 - -30. Let u = 55 - 52. Suppose -5*n + 5*i = -35, 0 = 5*n + u*i + 5 - 40. Solve n*l + m = 3*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 708037560 by 141607512.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1089494 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 10 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14 + -1)*(-2)\/(-1). Suppose 5*p - i - 4 = 0. Calculate the remainder when 14 is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 396 and 1749.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*q**3 - 7*q**3 - 32*q**3.\nAnswer: -23*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-158)\/(18\/24 + (-1043)\/1316)?\nAnswer: 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103 (base 4) to base 11.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-85*x**3 + 10377 - 10377)*(-2*x + 0*x + 0 + 1)*(-6 + 2 + 3).\nAnswer: -170*x**4 + 85*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -369138.\nAnswer: 110741.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.577 and -70630.\nAnswer: -70629.423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(-2)\/4*-3. Suppose 2*l - s + 18 = -4*s, -k*l + 11 = -5*s. Let c be (13 - (0 + 3)) + l. What is c rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00019941 rounded to 6 dps?\nAnswer: -0.000199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 c when two letters picked without replacement from ckxzxzp.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2543.000447 - 2543. Round n to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-42)\/15*20\/8. Let a(g) = -g**3 - 9*g**2 - 18*g - 24. Let v be a(c). Let -35*p**3 - 2*p**2 - 15*p**v + 7*p**2 + 310 - 300 + 35*p = 0. Calculate p.\nAnswer: -2, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 416 a factor of 881504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*v*y**3 - 429*v*y**2 + 39*v + y wrt y?\nAnswer: 12*v*y - 858*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 7:37 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10011345 + 3?\nAnswer: 10011352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3355390 is divided by 188?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -v**4\/12 - v**3\/6 + 15*v. Let u(f) = 6*f**2 + 8*f. Determine -8*j(g) - u(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43521218*s - 104759226 wrt s.\nAnswer: 43521218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12642 and 778386?\nAnswer: 1806","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 276 = -o - 283, -3*c = 3*o + 21 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 41628.09 and 0.15918817?\nAnswer: 41627.93081183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*p - 9 = -187*p + 3*n, n + 1 = -3*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -68 bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4451 + -4450.9048. Which is the smallest value? (a) 0 (b) j (c) -0.4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16615 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 345*a - 87*a - 647 = 127 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 28*f + 2. Let c be x(-27). Suppose -713 = -2*p - 5*b, -p + 339 = -30*b + c*b. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 65979659*b**2 + 4241345*b wrt b?\nAnswer: 131959318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 + 17*m\/2 - 19\/2.\nAnswer: (m - 1)*(2*m + 19)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 908999?\nAnswer: 7, 13, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 478945.\nAnswer: 5, 95789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 6:12 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -5. Let h be 2 + a + -2 + 1. Is 11 a factor of (11\/h)\/((-6)\/(-18))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, -0.5, -0.3, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**3*p**2*y**3 + 2*b**3*p*w*y**3 + 6*b**3*p*y**2 + b*p*w*y**3 + 7*b*p*w + 2*b*p*y + 3*b*w*y + p**2*w + 169*p**2*y**3 wrt p?\nAnswer: 2*b**3*y**3 + 2*w + 338*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5*k = -15. Let c = -19 - 7. Let l(y) = y. Let z(n) = 4*n. Let v(q) = c*l(q) + 6*z(q). What is v(k)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18116 * -0.078.\nAnswer: -1413.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78255837?\nAnswer: 3, 11, 619, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20.84 - 20.88. Sort 0.1, k, -2, -23\/4 in ascending order.\nAnswer: -23\/4, -2, k, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**8*k\/k**(-1\/8)*k\/(k**(2\/17)*k)*k**(-1\/10)\/k)**(-2\/119) assuming k is positive.\nAnswer: k**(-5377\/40460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 7:59 PM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/6)\/(7\/21). Let v(g) = 15*g**2 - 6*g - 1. What is the remainder when 45 is divided by v(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1049 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: In base 10, what is -691728 + -13?\nAnswer: -691741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 882 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*s - 524 = -422 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence df when two letters picked without replacement from {f: 2, d: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*i - 42. Let u = -19 + i. Suppose 233 - 80 = u*h. Is h a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1251 is divided by ((-2)\/11)\/((-714)\/19635)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/28459 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*o**2 - 3*o**2 - 13*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 + 11111240?\nAnswer: 11111301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 419895241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -3397 equal to 60804?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 3 - 5*d + 4*d)*((-1 + 1 + d)*(2*d - d - 3*d) + 3*d**2 - 3*d**2 + d**2).\nAnswer: -d**3 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 + 20. Let c be 0 + -2 - 0 - s. Solve -4 = c*v - 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 415 = -5*y, 2*y = -5*h - 3*y + 1925. Suppose -20*v = -21*v + h. Suppose -1134 - v = -12*r. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*a + 15*a - 6, 0 = -2*v + a + 4. Put 53, v, 4 in decreasing order.\nAnswer: 53, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4731 by -169.\nAnswer: -4731\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.13, -0.01, 1, -3.1?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/(7854\/272)*2?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -405209*p**3 + 241874*p**3 - 1757243*p**3.\nAnswer: -1920578*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.11 in 16, -32, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -27 - (-14 - -10) - (3 - 3) - 4\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**2 - 16*t + 7. Let s = 1264 + -1260. Let m(k) = -k**2 - 8*k + 4. Determine s*c(f) - 7*m(f).\nAnswer: -f**2 - 8*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of x**5\/20 + x**4\/6 - x**3\/3 + x. Give r(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 75231 + -1265.\nAnswer: 73966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 5*d**2 - 7*d. Let b be l(2). What is the greatest common divisor of 60 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 20*u**2 - 43*u - 135. Give r(-18).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -279*j**2 + 707*j - 15. Determine g(3).\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-7))**(-3\/41))**(-1\/11) assuming g is positive.\nAnswer: g**(-21\/451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*2\/(-72)*64\/16?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**2\/11 - 234*u\/11 + 63 = 0.\nAnswer: 3, 231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -365*n + 28 - 2013*n**2 - 28 + 367*n as z + w*n + u*n**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**21*n**(4\/21))\/((n\/n**(-9))\/(n**(-12)*n)))**35 assuming n is positive.\nAnswer: n**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-42) + 58673997\/(-42). Round a to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -22358, -110.\nAnswer: -22358, -110, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1100760 to the nearest integer?\nAnswer: 1049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1492*m**3 + 5*m**2 + 15*m**2 - 6*m**2 - 14*m**2.\nAnswer: 1492*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -758277028 + -11.\nAnswer: -758277039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of 0 + 0*u - 18*u**2 + 0*u**4 + 1\/6*u**3 - 3\/5*u**5. What is the derivative of q(c) wrt c?\nAnswer: -72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z + 5. Let k be l(4). Suppose 0 = -5*n + f + 29, 2*f - 17 = -5*n - 0*f. Let w = n - 6. Which is smaller: k or w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 156 - 4. List the prime factors of w.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 5*r - 6*f, -10 - 2 = 2*r - 5*f for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 11:41 PM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 + -4 - (-465 - (0 + 3)). Suppose -5*z - 270 - 1193 = -3*s, 3*z - r = -s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -u**6\/180 - u**5\/90 + u**4\/36 + u**3\/9 - 4*u**2 + 2. Let n(s) be the second derivative of p(s). Factor n(b).\nAnswer: -2*(b - 1)*(b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sstssftttsfssfsf. Give prob of sequence sfst.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(7) + -2) - (0 + sqrt(28)).\nAnswer: -7*sqrt(7) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 8*i**2 + 2*i + 17. Let n = 585 + -341. Let m be n\/(-28) - -1 - (-2)\/(-7). Let y be z(m). Do 0.2 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/4 + 12013*o\/4 + 3003.\nAnswer: (o + 1)*(o + 12012)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1228\/99 + 110\/9. Let h(y) be the third derivative of -y**6\/120 + y**5\/20 + y**4\/4 - y**3\/2 + y**2. Let j be h(4). Put j, t, -4 in descending order.\nAnswer: j, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6*1\/(-2) - (-3)\/3. What is the second derivative of -14*v**r + 19*v**3 + 19*v**3 + 12*v - 38*v**3 wrt v?\nAnswer: -168*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87507554 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 - 2)*(7 - 4 + 6) + 1 - 2 + 2)*(-24 - 27 + 3)*(2 - 3 - 1)*(-3 - 2*b + 3).\nAnswer: 3264*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gsgv when four letters picked without replacement from sfvggvfs?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3926 divided by -2?\nAnswer: -1963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.229558207 rounded to four decimal places?\nAnswer: -1.2296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4*h - 0*z - 38, 3*z = -3*h + 51. What is the least common multiple of h and 66?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-3\/4)*g*g)*g*g**(28\/5)*(g**(1\/5)\/g)\/g*g*g\/g**(-2))**(-28) assuming g is positive.\nAnswer: g**(-1197\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 342981520 rounded to the nearest 1000000?\nAnswer: 343000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 51694518823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -6. Let z(d) = 6*d**2 + d**3 + 0*d**3 + 10 - d**2 + 3*d + 8*d**2. Is z(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 34\/6 + (-6)\/9. Suppose i = -2*g + 3*g. What is the units digit of (8\/(-6))\/(g\/(-30))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -63\/10655 - -1251359\/15215340. Find the common denominator of g and (-2 + 17\/10)\/(72\/(-660)).\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from ddffd.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-77)\/(-154))\/(((-2)\/(-1252))\/1) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 2\/15 (c) -2 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339 is divided by 168?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(20))**2*4 - sqrt(5)) + -5.\nAnswer: -sqrt(5) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 48*j**2 - 47*j - 88. Give p(-4).\nAnswer: 868","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-1))\/(1*(-39)\/(-6))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56 and 256?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (42\/35)\/(56\/359660)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1384, 13, 47 in increasing order.\nAnswer: 13, 47, 1384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 1)*(-3)\/(-1). Let s be (-3)\/2*w\/(-9). Let t = 0 + 0.5. What is the biggest value in 2, t, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(3\/2)*r*r*r**(-1\/3)*r*r**5*r*r*r\/(r**(1\/2)\/r)*r*r)**(1\/34) assuming r is positive.\nAnswer: r**(19\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -28*c**3\/3 - 227*c**2 + 90*c. What is the derivative of f(o) wrt o?\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*2*5\/10. Let h = 0 - 0.05. Let n = h - 0.05. Put n, -0.4, k in ascending order.\nAnswer: -0.4, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 + 358601*s**2 - 2151634*s + 2868856.\nAnswer: (s - 4)*(s - 2)*(s + 358607)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2\/21 (b) 0.3 (c) -0.26 (d) -2 (e) -52\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -0*a + 20, x = -5*a + 24. Differentiate 3 + x - 4 + 6*b**4 wrt b.\nAnswer: 24*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 29.\nAnswer: 5\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**2. Suppose 4*y + 12*q - 10*q - 6 = 0, -2*y = 2*q - 2. Let r = -48 - -68. Let m(s) = 11*s**y - r*s**2 + 21*s**2. Give c(m(i)).\nAnswer: -288*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -15330, -28769, -40322, -49995, -57794, -63725?\n\"Answer: -j**3 + 949*j**2 - 16279*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 34*q - 5. Let n be o(6). Suppose 7*i - 5106 + n = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(1539) - sqrt(1539)*-3 - sqrt(1539)).\nAnswer: 162*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 13 = -h - 10, i + 4*h = -2. Suppose -2*u + 2568 = 11*u + 11*u. Calculate the remainder when u is divided by i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -12, 0.15, -7\/4 in decreasing order.\nAnswer: 20, 0.15, -7\/4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/86156 and -121\/15204.\nAnswer: 258468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 2*sqrt(147) + -3 + 5)*-4)**2.\nAnswer: 9408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-418)\/8*-1)\/(128\/512). What is the highest common divisor of 11 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78480222 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -3*c**5\/100 + c**4\/12 + c**3\/15 - 10*c. Factor q(x).\nAnswer: -x*(x - 2)*(3*x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -58 + 86. Is d a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-44))\/((-824)\/2266).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 4*n + 24, 4*b - 4 = 3*n - 4*n. Suppose 15*m = 14*m + 50. Let v = -46 + m. Calculate the lowest common multiple of b and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 411563520 to the nearest integer?\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + u = 0, -2*u = 94*m - 90*m - 28928000. Round m to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 - -54. Let j = -29 - -89. Suppose -j = -5*a - 10. Calculate the remainder when g is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*i**5*t + 3*i**4*t**3 - 4*i**2*t**3 + 2*i**2*t**2 - 1 wrt i.\nAnswer: -360*i**2*t + 72*i*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35895050 and 15262.\nAnswer: 1174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u + 40. What is n(-23)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b - 87 = -y + 12*b - 31, 42 = -3*y - 3*b for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(196)\/sqrt(7) + sqrt(14)\/sqrt(2)*-6)*4.\nAnswer: -16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1652 (base 14) to base 5.\nAnswer: 111432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -2\/31, 32, -0.2, -3, 5?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -45 * -1.1\nAnswer: 49.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5482645 a multiple of 345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42267 and 60795.\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*s - 1 + 1)*(4 - 4 - 1) - s + 2*s + 0*s - s + 2 - 2)*(243*s**2 - 95*s**2 - 100*s**2)*(5 + 2 - 5 + 1 + 1 - 4 + (0 + 0 - 1)*(0 + 1 + 1) + 0 - 4 + 5).\nAnswer: -96*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 - -13. Are -19 and u nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 u, and 1 x when four letters picked without replacement from vuxxuvvvuuxxxx?\nAnswer: 144\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 671 or -0.057308?\nAnswer: -0.057308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*n - 5 + 17 = 0, 2*m = -n + 24. Let v = m + -7. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 99386613?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5*c - 3. Let z(i) be the third derivative of 3*i**4\/8 - 5*i**3\/6 - 8*i**2. Give -5*g(t) + 3*z(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 78 + -144. Let m = 62 + x. Put 3\/8, -2\/15, m, 5 in decreasing order.\nAnswer: 5, 3\/8, -2\/15, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-14 + 14 + 14*c)*(-3 + 0 + 5 + (3 + 4 - 5)*(-4 + 0 + 5)) + 4*c + c - 3*c)*(2 - 2 - 1)*(52*c + 88*c + 141*c) in the form h + x*c**2 + a*c and give x.\nAnswer: -16298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8606 - 45083 = -909*l - 3144*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 20, -a + 37 - 9 = -5*r. Let g = 1958.2 - 1961.2. What is the closest to 1\/4 in a, g, -6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = -35*z + 30*z. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139753505?\nAnswer: 5, 27950701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 102 + 6. Calculate the highest common factor of d and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7819855, -15639639, -23459423, -31279207, -39098991, -46918775?\n\"Answer: -7819784*s - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*(c\/(c**(-2\/11)\/c))\/c*c*c*c**(-2\/7)*c assuming c is positive.\nAnswer: c**(377\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.3 and -97.\nAnswer: -126.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + -24. Let v = g + 9. Find the third derivative of -2*c**2 - c**4 - 2*c**2 + 5*c**v wrt c.\nAnswer: -24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/4 + 2\/(-4). Which is the closest to -2? (a) 1 (b) -5\/2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 37, 32, 3, -56, -151, -288?\nAnswer: -473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64858*g**2 - 2 + 0 - 64878*g**2 + 2.\nAnswer: -20*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + q + 212 = -7*s, -58 = s - 5*q. Let a = 115 + s. What is the greatest common factor of a and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/9))**(-3)\/(f*(f**(3\/5)*f)\/f*f**1*f) assuming f is positive.\nAnswer: f**(-44\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3336 bigger than 1009?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 76\/2179 in 5, 1\/16, 0.2, 2\/3?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one tenth of a kilogram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k - 6. Let l be d(2). Suppose -4*b = -7*b - 6. Sort 4, 3, b, l in descending order.\nAnswer: 4, 3, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 420928*0.1\nAnswer: 42092.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*h + 545 = 2*d - 150*h + 495, 4*d + 3*h = -32 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 15679088.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 11*d - 12. What are the prime factors of a(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xnxrxqxnx. What is prob of sequence rqxn?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-seven quarters of a week?\nAnswer: 68040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 636337946?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2860 and 5.\nAnswer: 2865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.382471ng in kilograms?\nAnswer: 0.000000000004382471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = i + 2*w, 2*i + 147*w - 142*w + 3 = 0. Suppose 8*s - 4*s - 3*j = 10, 3*s + 5*j = 22. Solve -11 - i = -s*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -602.683 and -0.1.\nAnswer: -602.783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/107523 and -11\/91.\nAnswer: 752661","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**4\/5 - 808*b**3\/5 + 139024*b**2\/5 + 9773568*b\/5 + 146313216\/5 = 0. What is b?\nAnswer: -28, 432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1344) + sqrt(1344)*1*-3 + sqrt(1344))\/(sqrt(9)\/sqrt(75)*3).\nAnswer: -40*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rln when three letters picked without replacement from rplrlprprrprplnr.\nAnswer: 1\/160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2105?\nAnswer: 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 5*f**2 - 4*f + 5. Let i be w(4). Suppose 5 = a, 0*k - i*a = -4*k + 63. Is k a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 130112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 48\/26 - 6\/39\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 11*i - 9. Let s(t) = 4*t. Let v be s(1). Let h(x) = 5*x - 4. Let c(b) = -b**3 - 9*b**2 - 9. Let z be c(-9). Calculate v*n(r) + z*h(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40\/93 - -94\/651. What is the fourth biggest value in -1\/7, -710, -1\/3, -5, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 2085bf?\nAnswer: -2085c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ebejjbebjjfbfjjp. Give prob of picking 1 f and 2 b.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (233*m**2 - 233*m**2 + 3*m**4)*(-3*m + 0*m + m + (-2*m + 1 - 1)*(2 + 4 - 4) - 1 + 1 - 2*m - 19 + 19 - 5*m).\nAnswer: -39*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4*d + 3*d - 12, d + 4*w + 5 = 0. Let g = d + 8. Let u(o) = 3*o. Give u(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o - 10. Determine x(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 92568 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2912)\/(-2080))\/(3*2\/90)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 36.9*13\nAnswer: 479.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.987 times -54759\nAnswer: -54047.133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k + 1. Let a be y(5). Solve a*s = s + 25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 102 + 53. Let f = b - 61. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.86414 - -2.87. What is a rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3819)\/(-1206) - 1\/6. Put -1, -86, a in descending order.\nAnswer: a, -1, -86","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -55 and 443231.\nAnswer: -24377705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/840 and -10\/609.\nAnswer: 24360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 7) + (0 - 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*c - 140*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 307 - 302. Put -1, -5, v, -8 in increasing order.\nAnswer: -8, -5, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o - 146 = -137. Do 33 and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00639039952 to four dps.\nAnswer: 0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 - 20. Solve -p = -3*p + f, -p + 6 = 2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -76, -88, -104, -124?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 48857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -4*o + 2*u, -9*o = -4*o - 5*u - 85. Let t(i) = 2*i. Let s = 13 - 8. What is the remainder when o is divided by t(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 2*s + 4*v - 7*v, -2*v + 18 = -2*s. Suppose -3*p + 5 = -5*h, -4*h + 3 = 2*p - 3*p. Sort s, h, -1 in ascending order.\nAnswer: s, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7 + (-86646)\/(-63))*12?\nAnswer: 2, 5, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, z: 2, e: 1, n: 2}. Give prob of picking 1 n, 1 z, and 1 f.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1058 - -1058. Sort a, -1, 6 in increasing order.\nAnswer: -1, a, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l + 218995 - 5018995. Round l to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 8:32 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + (sqrt(3) + sqrt(27))**2 + sqrt(3) + sqrt(3) + (sqrt(48) + 0)**2 - -6*sqrt(24)\/(sqrt(24)\/sqrt(3))).\nAnswer: -552 - 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -44, -49\/3, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**2 - 1. Let l be g(-1). Let d(t) = t + 2. Let x be d(-4). Is x >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.29 + -1.83. Let q = -0.12 - i. Let t = 80\/3 + -27. Which is the nearest to t? (a) -2 (b) -1\/4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42685 - 42697. Let k = 5 + -4.6. Which is the closest to k? (a) 4 (b) 0.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -5*x - 11, 2*p + 7*x + 1 = 2*x. Solve -k - 16 = k - 4*t, 24 = p*k + 4*t for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/3*v**2 - 32\/3*v**3 - 2\/3 + 32\/3*v = 0 for v.\nAnswer: -1, 1\/16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46 + 85. Suppose -5*y - 47 = -4*m, 4*m + 3*y = 32 + 23. Let w be (0 - -1)*m\/1. What is the highest common factor of j and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129182219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1787, -3575, -5363, -7151?\n\"Answer: -1788*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of 150*y + 0 - 3\/2*y**3 + 1\/12*y**4 - 1\/2*y**2. Let i = 10 - 0. What is g(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -99 - -97. Let z = -36.01 + 36. Let o = z + 0.41. What is the biggest value in 2, -5, o, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 0. Let n = 37.707 + -37.614. Which is bigger: i or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -47. What is the least common multiple of i and 27?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12669056623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 140073*f**3 - 140079*f**3 - 8.\nAnswer: -6*f**3 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*z - 3*z - 4. Let n be (-3 - -5)*z\/2. What are the prime factors of 129\/12 + n\/4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 5943*p - 5938*p - 6, -2*p + 4*v - 2 = p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1633732 and 110?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4354, -41.\nAnswer: -41, 3, 4354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6228677381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55 - (40 + -20 + 0)) + -19?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 8:04 PM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 5*m**2 - 2*m + 9. Let a be s(5). Is (-1)\/(5\/83705*a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 8:48 PM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (7 + -2)*134\/5.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -9810 (b) 5 (c) 4 (d) 0.2 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 a when two letters picked without replacement from {n: 1, a: 1, x: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (60\/(-14) - 16\/(-56))\/(8\/(-12)). Let t = -2 + 4. Solve -u + p = -3*x, -u + x = -t*u - 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -s - 3*x - 14, 3*s - 4*x - 2 = 0. Let v be (-9)\/27 - s\/(-12). What is the closest to -1 in 1, v, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -38*r**5 + 127*r**2 - 5. Let g(j) = -57*j**5 + 191*j**2 - 8. Let f(y) = -5*g(y) + 8*i(y). Find the third derivative of f(l) wrt l.\nAnswer: -1140*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of 7*q**4\/12 - 201*q**2 - 5. Let w(j) = -2*j**2 + 1. Give u(w(b)).\nAnswer: -28*b**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -76 + 76. Suppose -n + v + 0*v + 295 = j, -586 = -2*n + v. Let i be -1*(-2)\/4 - n\/(-6). What is i rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/64*-37*(-328)\/3034.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (76\/(-12) - -3)*30\/12.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 707 + 247. Suppose 3*r - r = -5*s + m, -2*r = 2*s - 104. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*g + 4*g. Let l be (-50682)\/(-6 - -3)*g. Let b = 22688 - l. Round b to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/3)\/((-2)\/1946*1). Suppose -r + 545 + 162 = 0. Suppose i = 7*l - r. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + 1.484?\nAnswer: 1.984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228*u = 360*u + 414*u - 55110 for u.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 63 and 182?\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/81 and 107\/210.\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 337774 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 23*d**2 + 10*d - 177. Let l(r) = 8*r**2 + 4*r - 60. What is -17*l(z) + 6*o(z)?\nAnswer: 2*z**2 - 8*z - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*r - 27*r = 40 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33595*s**3*v**2 + 2*s**3 + 4238*s - 23*v**2 + 1 wrt v.\nAnswer: 67190*s**3*v - 46*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 8430200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -l**4\/20 - l**3\/15 + l**2\/5 + 9. Factor f(n).\nAnswer: -n*(n - 1)*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -195 - -100. Let t = j + 94.9999838. What is t rounded to 6 decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-22\/5)\/i*i\/(i\/i**(-5\/4)*i)*(i**(6\/25))**50 assuming i is positive.\nAnswer: i**(107\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 79, -0.2, -3.5, 1, -1\/13, -6, 4?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -23.1, 6917, 3\/2 in decreasing order.\nAnswer: 6917, 3\/2, -6, -23.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l**2 - 2*l + 1. Let o be y(1). Let k be o\/(-2)*7\/28. What is the closest to -1 in -0.3, 5, k?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 524*z**2 + 523*z**2 - 1054*z**2.\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3508, 7012, 10518, 14026, 17536?\n\"Answer: u**2 + 3501*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2055?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (217*(-364)\/(-592410))\/((-2)\/30)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2\/5 (b) -5 (c) 0.0115 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*sqrt(720)*-5)**2 - (1 + (sqrt(720) - 3*1*sqrt(720))).\nAnswer: 24*sqrt(5) + 647999","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/8 and 81\/224?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 2832.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xc when two letters picked without replacement from scscccxsxc?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {q: 4, w: 9, x: 1}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/((-37)\/(2405\/(-1807)) - 28).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 5*s + 15. What is the common denominator of -4\/7 and ((-2)\/s)\/(24\/(-873))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 917735 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 206 + -134. Suppose j = 9*f - 0*f. Suppose 10*z + f*z - 54 = 0. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -779 - 75 = -2*q. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, p: 3, x: 1, r: 10}. Give prob of picking 1 p, 1 o, and 1 r.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (72\/15 + 9\/45)*123. Let t be (-5)\/(-2) + (n\/(-10))\/(-3). Calculate the highest common divisor of t and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2813 is divided by 254.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 611.853 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -1 - (-10 - (-12 + 10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3844544 is divided by 1095?\nAnswer: 1094","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -4*c. Let g(j) = -159*j + 10. Determine v(g(x)).\nAnswer: 636*x - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 - 10 + 38*y - 63*y + 33*y - 25.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -7 + 3 + 32 + -20 + 23?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 12*d - 43. Let f be b(4). Solve f*w = -20, 2*j - 5*j + w = -1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -j + 3*c + 9, 2*j - 4*c - 38 = 0. List the prime factors of 30\/j*(2 + 13).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*y + 24*y + 20 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5536.08322 - 0.08322. Let u = k - 5535.4362. What is u rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (69\/(-18))\/(40\/240)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -45*y**5\/7 - 563492*y**4\/7 - 1764593889*y**3\/7 - 3605872682*y**2\/7 - 1920217440*y\/7 - 78375200\/7 = 0.\nAnswer: -6260, -1, -2\/45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34*q + 7*q + 0*q**2 - 9*q + 27*q**2 wrt q?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 20 = -5*a. Suppose 0 = 5*n - 33 + a. Solve 5*r + 0 = -n for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -192900 rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 227a + 21?\nAnswer: 229b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ryi when three letters picked without replacement from {s: 1, y: 1, r: 2, v: 2, i: 1, j: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -441*g**3 + 1758*g**2 - 1740*g - 24.\nAnswer: -3*(g - 2)**2*(147*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 90, -1 in descending order.\nAnswer: 90, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -995*p + 992*p - 2*d, -d = -8*p + 9*p + 10 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -324133*-0.653\nAnswer: 211658.849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5466 take away -372239.9?\nAnswer: 366773.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 892 + -892.3. Let s = 30 + -30.2. Which is the closest to 0? (a) w (b) s (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 375677505 - 375677505 + 57*j**2.\nAnswer: 57*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211002020 - 102010?\nAnswer: -211111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -637 + -5?\nAnswer: -643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -5927*v**3 - v**2 + 489*v + 2. Let m(y) = y**3 - y**2 - y - 2. Let s(j) = f(j) - m(j). What is the second derivative of s(a) wrt a?\nAnswer: -35568*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 12. Let z(v) = -15*v**2 - 3 + f + 13*v. Let m(c) = 7*c**2 - 6*c. Give -13*m(o) - 6*z(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l**2 + 584*l - 7447. What is i(12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.118 + 0.218. Is 0.192 bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sy when two letters picked without replacement from {s: 2, m: 1, x: 1, y: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qppqqqqpqqq. What is prob of picking 3 q and 1 p?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**4 - 574*x**3 + 7021*x**2 - 6446*x = 0.\nAnswer: -586, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8.08 - -8. Let r = b + -0.02. What is the closest to 0 in -0.6, r, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4 + 1 - 9*p + 2*p**2 - p**2. Let l be b(9). Factor -1\/3*v**2 - v**3 - 1\/3*v**l - v**4 + 0*v + 0.\nAnswer: -v**2*(v + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*h = -9, -2*h - 18 = -2*c - 0. Let d = 182 + c. List the prime factors of d.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**2 + 21632*m + 116985856 = 0.\nAnswer: -10816","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.003 to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -830733\nAnswer: 1\/830733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -8. Suppose m*n - 2*r - 2 = 2, 4*n - 6 = 3*r. Let u be n + 8\/12 - 0. What is the smallest value in u, -2\/15, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -w, -5*b + w + 5*w = -505 + 450 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 676, 1360, 1934, 2344, 2536, 2456, 2050, 1264?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-86 + 86 + 41*s)*(3 + 3 - 4)*(0*s**3 - 5*s**3 + s**3).\nAnswer: -328*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 14 + (1 - 4) + -11.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 8:43 AM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 20. Let r(i) = -i + 14*i**2 + i - 13*i**w. Let g(p) = -41*p. Give g(r(z)).\nAnswer: -41*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -1080*r + 1083*r - 5*w, -2*w - 2 = r. Let g = 22 + -7. Suppose -5*l = j - 53, -2*l - 4*j + g + 17 = 0. Is r at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -31172 and 97.\nAnswer: -31075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - 0) + 1 + (-2 - -4). Suppose 11*g = 13*g + 2, n = q - g - 192. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000 + 11100100001101111100?\nAnswer: 11100100001110001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 4*b = -14*k + 8, -2*k + b = 11. Let n be 6 - (k - -30)\/(-1). Solve 10*l - 24 = 2*f + 6*l, 5*l - n = 4*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sqqq when four letters picked without replacement from lqqsllsssqsssl.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -843, -1730, -2621, -3516, -4415?\n\"Answer: -2*b**2 - 881*b + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 494 = -5*j, 0 = -2*j - 4 + 8. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6146.8 to the nearest ten.\nAnswer: 6150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85869, -339484, -762189, -1353996, -2114917, -3044964, -4144149, -5412484?\nAnswer: -6849981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1221*b**6 - 20*b**3*w**3 - 6256*b**2*w**3 - 2*b**2*w**2 + b*w**3 - 3*b*w**2 wrt b.\nAnswer: -146520*b**3 - 120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 - 408 = -61*i + 335 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 64779587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6112 + 12693 + 75835 = 4*q. List the prime factors of q.\nAnswer: 2, 3, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -2. Suppose 0 = -s - 0*s + 8. Let g be s\/(-36) - 5\/(-9). Which is the closest to z? (a) g (b) 0 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2796*o*z**3 + 341298*o*z - 18*z**5 wrt z.\nAnswer: 16776*o*z - 360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 - -131. Suppose 11*l - 6*l + f = 0. Let o = -27 - l. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 23 + 18 = u, 7 = -i + 5*u. What is the remainder when 33 is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (92\/(-1196))\/(27\/78)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -770600 rounded to the nearest ten thousand?\nAnswer: -770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -f**6\/15 + 2*f**5\/5 - 31*f**4 + 10*f - 5. What is the third derivative of q(o) wrt o?\nAnswer: -48*o + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of 2\/3*k**3 + 0*k + 0*k**5 + 0*k**4 + 0 - 1\/120*k**6 + k**2. Differentiate g(w) with respect to w.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 4 - 80 - (-2 + (10 - 2) - 2)\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 10108245.\nAnswer: 1\/1444035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20328 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2 + (3*sqrt(119)*-1*2)\/(sqrt(567) + (sqrt(567) - (-2*sqrt(567) - sqrt(567))) - sqrt(567)).\nAnswer: -sqrt(17)\/6 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 44\/5, -2\/9 in ascending order.\nAnswer: -17, -2\/9, 44\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/99 + (-196)\/11. Let v be (-10)\/45 - 76\/i. Let s(u) = -u - 5. Let y be s(-4). Put y, v, 2 in ascending order.\nAnswer: y, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2012060 + 3?\nAnswer: -2012054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 m, 1 y, and 1 q when four letters picked without replacement from {x: 2, q: 1, y: 2, m: 1, h: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*x + 75*x - 130 = 36*x for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -7996*x**3 - 2*x**2 - 10*x - 11. Is u(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1062 is divided by 82?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 51986725 divided by -175?\nAnswer: -297067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 261 or -560?\nAnswer: 261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/21583 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a\/(a\/(a\/a**11)))\/a)\/a*a*a**16\/a)\/(a**8)**(-8))**(-12\/5) assuming a is positive.\nAnswer: a**(-828\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -10*j - 213. Let m(g) = -g. Determine m(q(l)).\nAnswer: 10*l + 213","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of 31*b**5\/60 + b**4\/4 + 5*b**3\/6 + 27*b**2. List the prime factors of y(-2).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times 1.9627?\nAnswer: -13.7389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 11*s**2 + 6*s + 2. Let k be d(-5). Suppose 3*c - 172 - k = 0. Does 25 divide (-7)\/(63\/c - (-4)\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -941*d**4 - 429*d + 1 wrt d.\nAnswer: -11292*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 - 0.2. Let q = 94\/21 + -22\/7. Let b = 0.7 + 2.3. What is the nearest to f in 0, q, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 7 + -8 + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**2*k**2 - a**2*k + 132*a**2 - 4708*a*k**2 + 759*a - 1 wrt k.\nAnswer: -4*a**2*k - a**2 - 9416*a*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -106, -5\/2, 1?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 356 = -4*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1174704\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 442430 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004631 rounded to seven decimal places?\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*g**2 + 4*g - 35*g**2 + 3 + 0 to f*g + l*g**2 + c and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175*27.9.\nAnswer: 4882.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ymx when three letters picked without replacement from mymmyymxmymymymmymmx?\nAnswer: 77\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 6*w - 6. Let b be i(-4). Suppose -3*k + 18355 = b*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2 - (10 - 2) - (59 + 103 - 93)\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(168)*-3)\/sqrt(4) - sqrt(42))\/(2*sqrt(150)))**2.\nAnswer: 28\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 9, 3, 130, -7 in ascending order.\nAnswer: -7, -2, -1, 3, 9, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7437239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 240380, 240281, 240182, 240083, 239984?\nAnswer: 239885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - t + 4. Let q be m(0). Let r be 7*-1 + 12\/q. Let i = r + 10. Solve -i + 0 = -3*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2 - 2*p**2 + 6*p**3 + p + 6*p**2 - 7*p**3 - 2. Let x = 3 - -3. Let t be u(x). Solve 3*m + m + 25 = -5*i, 3*m - 20 = t*i for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1111718\/693 - -2143\/99. Let o = -1630 + s. What is the common denominator of o and -6 + (-170)\/65 + 6?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1040234837*n**3 + 45*n**2 - 375359*n - 11 wrt n?\nAnswer: 6241409022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a millennium in months?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12 - -32 - 13 - (-3 - -25 - -1)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 2*y + 4. What are the prime factors of s(-20)?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-171)\/(-33) - 4\/22.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 312 (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 5*c - 3*c + 3, 5*c = k - 6. Suppose 9 = 5*q - 91. Let t = q - k. Calculate the remainder when t is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 359, 280, 201, 122, 43, -36?\n\"Answer: -79*u + 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n + 3*n + 13 = 49 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.015, 0.6 in decreasing order.\nAnswer: 3, 0.6, -0.015","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 305*n**3 + 67*n**2 - 58*n + 5948614 wrt n?\nAnswer: 915*n**2 + 134*n - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2 - 2*s**3 + s + 3*s**3 - 2*s**2 - 2*s**2 - 3*s. Let u be g(5). Calculate the greatest common factor of u and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 67913269?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41 + -42. Let p(n) = n + 8. Let b be p(-4). Suppose -2*r = 0, -b*j + 5*r = 3*r + 12. Sort 3, j, q in ascending order.\nAnswer: j, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45501510 and 3?\nAnswer: 45501510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -279 = -4*k - 27*k for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -124645125 (base 7) in base 12?\nAnswer: -28166a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**3 + 23*d**2 - 79*d - 99. Calculate the lowest common multiple of 4656 and v(-14).\nAnswer: 41904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2084360.\nAnswer: 2, 5, 107, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1918 to the nearest 100.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r + 7*r + 7*r + 15 - 8*r - 7*r + r.\nAnswer: 3*r + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 3. What is the highest common divisor of 30 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a week in minutes?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 19\/4 of a century?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/6)\/((-6)\/(-36)). Suppose c = -2*o, -2*c = -3*o - w - 3. Solve n + 2*s - 13 = 0, -c*n = 2*n + 2*s - 28 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 7560 = -22*m. Suppose -m = 24*z - 33*z. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42*0.039.\nAnswer: 1.638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-1109430)\/78155)\/(-54))\/(5*5). Let x = -8192274\/1595 - -25681\/5. Let t = m + x. Is 1 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 233131 - 1321?\nAnswer: 231210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3907321867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 8*z**2 + 10*z + 9. Let g be v(-7). Let f be 10\/4*g\/(-10). Let w = -43\/52 - -14\/13. What is the nearest to w in -4, 1, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 582716 is divided by 47.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.6 + -2. Let f = -24 - -8. Let u = -15.94 - f. What is the biggest value in -0.1, u, k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/10 and 151\/9672.\nAnswer: 48360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2282025?\nAnswer: 3, 5, 30427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 7084*g - 6945*g + 3 + 15. Is q(4) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -58 - -58. Let t = 18 - j. Let w = -12 + t. Calculate the least common multiple of w and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -21*a**3 + a**2 + 5*a + 1. What is q(2)?\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 30*w + 287. Determine d(-9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/85 and 54\/7.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((7\/3)\/7)\/((-13)\/273).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-2 - -13) - (1 + -1 - -5)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, o: 3, q: 2, p: 2, v: 8, n: 2}. What is prob of sequence qpn?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 2\/9, 3, -2\/23, -18?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28182647023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - u + 8. Let m be d(6). Suppose 0 = 3*a - a + 2*w - m, 4*a = 4*w + 84. Calculate the remainder when 39 is divided by a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 83867 + -922465\/11. Solve 0*g + z*g**2 - 80\/11*g**3 + 26\/11*g**4 - 2\/11*g**5 + 0 = 0.\nAnswer: 0, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 3)*(0*b + 2*b + 5 - 3*b).\nAnswer: b - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -75697*x + 75683*x - 56 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**4\/6 + 1796*d**3\/3 + 1216981*d**2\/6 - 686109953*d - 20749816740 = 0.\nAnswer: -2207, -30, 852","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.489270907 to 2 decimal places.\nAnswer: 1.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 6*a**2 - 5*a - 9. Let i be j(-2). Let x(o) = -o**2 + 38*o - 324. Let b be x(i). Let u(c) = 1. Let h(n) = -11*n + 6. Determine b*h(p) - 6*u(p).\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -549, -752, -965, -1194, -1445, -1724, -2037?\nAnswer: -2390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**3 - 7*k**2 + 3*k**2 - k**4 - 30 - k**2 + 7*k**2 to the form n*k**4 + h*k**2 + b + a*k + r*k**3 and give b.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -68*k + 3357. Let q be t(49). Solve 6*w + q = 7 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 12) in base 8?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 8:30 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a**2 - a. Suppose 0 = -4*u + 3*o - 2, -3*o + 4 = -3*u + 1. Let i be k(u). Is i*(-3)\/(-6) + 29 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 24, 3*g = -3*q + 10 + 5. Sort g, 2, 4, -5, -2 in ascending order.\nAnswer: -5, -2, g, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -2*i**3\/33 - 28*i**2\/11 - 150*i\/11 - 1203. Solve d(y) = 0 for y.\nAnswer: -25, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 - (3 + -2 + -45 + 35 + (-1 - -11)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 4*y**2 - y + 4. Let v be p(4). Let x = 32 + -28. Suppose -3*f - d + 12 = -4, d = -f + x. Solve v*u - f = -j + u, -u = 2*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of b**4\/24 - 13*b**3\/3 - 822*b**2. Suppose -103 = -7*m + 2. Determine a(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 62554990?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**3 + 2*r**3 + r**3 - 1 + 1 - r**3 + (-r - r + 0*r)*(3 - r**2 - 3))*(-3 + 5 + 0).\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 35*-1\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -3*m - 9, 0*m = 4*q - 5*m + 30. Let z = 6 - -3. Let l be 1\/(-6)*(-12)\/z. Which is the closest to 0? (a) q (b) l (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 + 259528*n - 8419347848.\nAnswer: -2*(n - 64882)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*z + 7, 5*z = x - 17. Suppose -12 = -x*i - 0. Let l(d) = 4*d. Let y be l(1). Solve 2*c - i*c = y for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 176 divided by -128635.\nAnswer: -176\/128635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-1) + -1)*23\/23\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -s**5\/24 - s**3\/3 + s**2. Let u(w) be the first derivative of q(w). Let k(z) = -z. Give u(k(c)).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14*2*(-2)\/(-8)*-1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from wwaaaw.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 29*c. Let i(r) = -17*r. Give h(i(m)).\nAnswer: -493*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -11*k - 36. Let x(n) = 33*n + 104. What is -17*s(u) - 6*x(u)?\nAnswer: -11*u - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33072218?\nAnswer: 2, 16536109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + d = -2*n + 212, -208 = -5*d + 2*n. Put -5, -4, 1, d in descending order.\nAnswer: d, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -4*l**4 - 11012*l**3 - 7704148*l**2 - 171656940*l - 163963800 = 0.\nAnswer: -1365, -22, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 53 = -5*r, -q + 17 = r + q. What is the highest common divisor of 21 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.211963*-24.\nAnswer: 293.087112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1000000201 (base 4) to base 10\nAnswer: 262177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 12*u**2 + 14*u + 8. Let l be o(-13). Let s(d) = d**3 + 6*d**2 - 12. Give s(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 16\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 3*i - 18916, f - 5*i - 2374 = 2378. What are the prime factors of f?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3*(3*sqrt(44))**2 + sqrt(11)*-2*6 + sqrt(220)\/sqrt(5).\nAnswer: -10*sqrt(11) + 1186","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -795, -921, -1047?\nAnswer: -1173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -6 + (2 - (-6 - 5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4542075 rounded to 4 decimal places?\nAnswer: 1.4542","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -160322 (base 7) in base 10?\nAnswer: -31376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 + 82. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5182008\/(-2) + (-4)\/(-1). Round b to the nearest one hundred thousand.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -97 (b) -1 (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 7.8, -2\/7, -4\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -4*v**3 - 5*v**2 - 25*v - 19. Let u be w(-1). Solve 3*i + u*x = 0, 2*i + 4*x + 2 = -0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 = x - 107. Let v = 363 - x. What are the prime factors of v?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/72)\/((-93)\/(-736)) - -6.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 9 = -3*a - 28, 0 = -2*i - 2*a + 2. Solve -2*g = -5*h - 24, 7 + 11 = -g - i*h for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (72\/(-21))\/((-1)\/7). Let b be (-14)\/k*(-15)\/10. Let w = b + -27\/40. Is w less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 12:52 PM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20749\/38 + -546. Is l at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -1.8 (c) -5 (d) 3 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89052 is divided by 506?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 83 + 8\/(-1) + (-2)\/2. Let p = j - 98. List the prime factors of 76*2\/(p\/(-15)).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oxfxcfffsc. What is prob of sequence xc?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/13, -31\/2, -2\/7, -73, -124, 46?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 145335759 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.7*140.5.\nAnswer: -379.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 c, and 1 s when four letters picked without replacement from sgzvcssnzgsvnssgggz?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1645.43 millilitres in litres?\nAnswer: 1.64543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3 + 4 - 2)*0)\/(-1). Solve -3*k - 14 - 1 = c for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.6 + 8.4. Let o(n) = n - 18. Let r(i) = -5*i - 27. Let q be r(-9). Let j be o(q). Which is smaller: a or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*i + 40*i + 23*i)*(8 - 8 + 4*i) in the form f*i**2 + g*i + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 equal to 107\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d**(-2\/5)\/d))\/(d**3\/d))\/(d*d**(-1\/6)*d)**36)**(-46) assuming d is positive.\nAnswer: d**(15088\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 13*w - 16. Determine c(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -481275 divided by 713.\nAnswer: -675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*v**2 - 32*v**2 + 63*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2418 is divided by 803.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -l**3*q - 43*l**3*t + 3*l**3 + 6*l**2*q*t - 2*l*q wrt q?\nAnswer: -l**3 + 6*l**2*t - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5*v**2 + 2*v + 9. Calculate f(-4).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 25056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1024646?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 177520\/(-800)*-4*(-3)\/672 + 4*1\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((524286\/(-73))\/63)\/(-2)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -7*c + 15. Calculate the remainder when (-216)\/243*9\/(-1) is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 59342137 and -5.\nAnswer: 59342132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.3424597 rounded to one decimal place?\nAnswer: 10.3","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Solve -22*r - 821 + 491 = 0 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -4*d + 9*d - 10, 3*q = -4*d - 6. Suppose -6*z + 12*z + 24 = d. Let x = -10 - -3. Which is the nearest to -2\/3? (a) -0.5 (b) x (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -21 + 386113?\nAnswer: 386082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -39, -67, -95, -123, -151, -179?\n\"Answer: -28*y - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*m**2 + 15*m**2 + 47*m**3 - 55*m**3.\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 7:00 PM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p + 120 = 26*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1211112 + 1100?\nAnswer: 1212212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d + 35 - 10, 4*z = 5*d - 10*d - 41 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1476 and 5592974?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.361 + 34.439. Let k = -35 + l. Let q = -2 - -2. Which is smaller: k or q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 21*z**2 - 66*z + 8. What is the remainder when v(17) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1293 + 3529 - 56*t - 1056 + 41*t as b + j*t and give j.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 815 - 815. What is the nearest to -2\/11 in j, 3\/4, 0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4*t - 30. Let x(h) = -5*h**2 - 14*h**2 + 11*h**2 - 2*h**2 + 13*h**2. Give o(x(u)).\nAnswer: 12*u**2 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 31324 - -1?\nAnswer: 31325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.9064 - 0.0936. What is the third biggest value in -9, 0.4, -2\/11, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (280\/(-105))\/(24\/(-99))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15*(-1147)\/(-555))\/5.\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from {k: 7, u: 3}?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.445 + 0.545. Which is the nearest to 2\/3? (a) 61 (b) -4\/3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 544 is divided by 140.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 153624 divided by 6?\nAnswer: 25604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -1643*d + 26292. Calculate r(16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9281 divided by 7.\nAnswer: -9281\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 98*l**3*r**2 - 7*l**3 - 63*l*r**2 - 22*l - r**2 wrt l?\nAnswer: 588*l*r**2 - 42*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 683, 2814, 6395, 11426?\nAnswer: 17907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -5 - (-4 + (-3 - (9 - 21))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -3, 2\/7, 19.\nAnswer: -3, -2, 0, 2\/7, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 0, -8.\nAnswer: -8, 0, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2168*o - 396809. Determine k(183).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 571 is divided by 111?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-58)\/(-80) + (-133749)\/(-792) + -169\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**3\/7 - 4576*z**2\/7 - 3171318*z\/7 - 69438420 = 0.\nAnswer: -291, 2870","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16814549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 26462*q**2. Let v(f) = -2*f. Calculate v(t(x)).\nAnswer: -52924*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 7:48 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 404398550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d**3 + 3*d**2 + d - 1. Is 13 a factor of j(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33300425?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000095797989 to six decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 5*h**2 - h + 6. Let t be x(-6). What are the prime factors of (t\/10)\/(2\/(-10))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -0*g - 4*g. Suppose 19*b + 3*t = 14*b - 16, 0 = 2*b - 2*t + 16. Let v be ((-6)\/(-4))\/((-9)\/12). Put v, b, g, 5 in decreasing order.\nAnswer: 5, v, g, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27536 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2\/6 + 35*f\/2 - 50\/3.\nAnswer: -5*(f - 20)*(f - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15 and -200.\nAnswer: -3000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -56*w + 31*w - 214 - 386 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 + 0 + -6 - -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of y**5\/60 + 25*y**4\/24 - 14*y**3 - 142*y**2 + 4. Factor r(b).\nAnswer: (b - 3)*(b + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d + 1. Let i be l(3). Suppose 0 = -2*n + i*z + 12, -3*n + 0*n + 6 = -3*z. Is 90 - (1 - (2 + n)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6046, 24082, 54138, 96214, 150310?\n\"Answer: 6010*q**2 + 6*q + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*g = -20*g + 56*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/(-1)*(-17759)\/9086?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 8:57 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 173590207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -79459\/7 + 11351. Which is the third biggest value? (a) -3 (b) 2 (c) n (d) -0.13 (e) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -353 greater than or equal to -392?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55697?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -63.82 * 123\nAnswer: -7849.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.083 * 137.3\nAnswer: 11.3959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a decade in months?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13001*q - 252 = 12965*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -49157*t + 3195226. Determine f(65).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*o**3 + 54*o**2 - 21*o - 18.\nAnswer: -3*(o - 3)*(o - 1)*(5*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 24944 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 2*s + 319 - 320, -9 = y - 5*s. What is the closest to -1 in 29, y, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 7*q = -20. Let m = q + -7. Let u be 2\/(-2) + (-1)\/4. Which is bigger: u or m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 683648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1431 in -0.4, 1, 0, 58.36?\nAnswer: 58.36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, 3, 1\/5 in decreasing order.\nAnswer: 37, 3, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 5*n - 243, -n + 4*p = -4*n + 140. Let q = -48 + n. Suppose q*f - 32 = -2*f. Does 5 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32455 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3475\/(-278)*9\/(135\/15).\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/(-182)*8)\/((-1)\/(-7)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(17\/5))\/a*a**(-1\/2)*(a*a\/a**1*a)**(-32) assuming a is positive.\nAnswer: a**(-679\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54 - 47. Let d(l) be the third derivative of -3414287*l**4\/24 + 3*l**3\/2 + 3*l**2. Let b be d(s). Round b to the nearest one million.\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25698327257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3439418584 a multiple of 1275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one halves of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.3 - -6.3. Let k = -25.9 + 25. Which is the biggest value? (a) x (b) 2\/9 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*p**2 - 85*p + 300 = 0. What is p?\nAnswer: -20, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*c - 19, 0*g - 3*g = -2*c + 27. Suppose -4*y + 4*k = -100, -c*y - 5*k = -3*y - 75. Let n = y - -8. What is the highest common factor of n and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 2*i + 5*j - 39, -4*j = -4*i - 28 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 479662?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -149, -613, -1419, -2567, -4057, -5889?\nAnswer: -8063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 - -0.1. Let k = -173 - -172.7. What is the closest to 0 in k, w, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -575*g - 519*g**3 + 575*g + 1029*g**3 - 518*g**3.\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7756480, -15512966, -23269452, -31025938, -38782424, -46538910?\n\"Answer: -7756486*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18\/23? (a) -0.5 (b) -3 (c) -2\/5 (d) 5 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12224\/5 + 2434. What is the common denominator of h and -56\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28153367017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (119\/(-51))\/((-1)\/3). Suppose -21 = j*z - 56. Solve z - 10 = -r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16208.606 rounded to the nearest 10?\nAnswer: -16210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 273 - -241. Let v = x + -511. Solve -y + l = 1, 3*y + v*l = 17 + 4 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 51*m**3 - 5*m**2 + 18*m - 212. Let y(f) = 26*f**3 - 3*f**2 + 11*f - 105. What is 3*q(h) - 5*y(h)?\nAnswer: 23*h**3 - h - 111","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.30988 weeks in milliseconds?\nAnswer: 28008215424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1693601 divided by -3?\nAnswer: -1693601\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 987998680 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21356487?\nAnswer: 3, 223, 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003 times -1227454?\nAnswer: 3682.362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b1031c (base 14) to base 5\nAnswer: 3011030334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -24 + -9 - (-18 - 21)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 5*w = -56, -20*w = -5*n + 2*n - 16*w - 113 for n.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**2\/6 + 2254015*a\/2 + 6762047\/3 = 0.\nAnswer: -2, 6762047","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of ((-35)\/4)\/((-85)\/2856)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 510*y**2 + 17340*y - 3. What is d(-34)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*m - 27 = -154*m. Let s(i) = 44*i + 126. List the prime factors of s(m).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -11. Let u(s) = s**3 + 10*s**2 + 9*s - 5. Let o be u(t). Let r be 1\/o + (-1225005)\/(-25). What is r rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4448 - 22236\/5. Let i(q) be the first derivative of g*q**2 + 2\/15*q**3 - 8 + 6\/5*q. Factor i(y).\nAnswer: 2*(y + 1)*(y + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*u + s = -18*u - 1, 3*u - 5*s = 9 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100000 + -11111011110?\nAnswer: -11100111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -23?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 508533*r - 1908 - 508535*r + 563 as i + c*r and give i.\nAnswer: -1345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1044 and 0.1414?\nAnswer: -147.6216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.8048792 rounded to 1 dp?\nAnswer: 5.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sv when two letters picked without replacement from asssvkv?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -7*t**5\/30 - 13*t**4\/48 + t**3\/2 + 2*t**2. Determine j, given that w(j) = 0.\nAnswer: -3\/4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 28*d**2 - 26*d - 4. Let y be k(2). What is the highest common divisor of y and 4984?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/10)\/((35\/25)\/7). Let s(c) be the second derivative of 1\/2*c**3 - 3\/2*c**w + 0 + c. Differentiate s(h) with respect to h.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/15030190 and -85\/48096608.\nAnswer: 240483040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/19? (a) 31\/2 (b) 2 (c) 6\/11 (d) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -228*i**2 + 13*i - 747*i**2 - 13*i to the form h*i**2 + n + a*i and give h.\nAnswer: -975","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -756 by -235463.\nAnswer: 756\/235463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 + 14.6. Let u = -17.9 + n. What is the second smallest value in -4, -0.05, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 r when three letters picked without replacement from riprpjirurpu.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*u - 5, 6*u = 4*m + 3*u + 18. Let f = 159 - 155. Sort m, f, 0.3 in increasing order.\nAnswer: m, 0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4259471762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 20*x**2 - 132*x - 14. What is the units digit of z(20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2641546.\nAnswer: 2, 1320773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*t + 29 = 589. Calculate the smallest common multiple of 20 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2047 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 259403 and 2151519?\nAnswer: 36575823","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express h**2 - 25*h + 25*h + 1 as s*h**2 + u + t*h and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -126*b - 489. Let s(j) = -j**2 - 251*j - 980. Let n(l) = 5*d(l) - 2*s(l). What is the first derivative of n(x) wrt x?\nAnswer: 4*x - 128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, p: 6}. What is prob of sequence dddp?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -26904.23043 and -0.3.\nAnswer: -26904.53043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -i - 23, -2*i = -5*g + 4*g + 11. Put -1, 3, g in descending order.\nAnswer: g, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96) + 3*sqrt(96)*-1 - sqrt(96))\/(2*sqrt(48)) + 0 + -1)**2*-5.\nAnswer: -55\/2 - 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 3877 + -3874. Suppose 104 = -5*s - 6. Let t be 2*-1 - (s - 1). Calculate the highest common factor of o and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 8 = -2. Let a be 918\/21 - w\/7. Factor 23*l + a*l**2 + 15 + 16*l + 2*l**4 + 9*l + 3 + 16*l**3.\nAnswer: 2*(l + 1)**2*(l + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -21. Suppose -y = 2*v - o, 8*v + 10 = 3*v + 5*o. Suppose r - 4*x - 101 = v, r + 12 - 121 = 2*x. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 233*o**4 + 13*o**2 - 894*o + 13. Let g(c) = 118*c**4 + 6*c**2 - 447*c + 6. Let v(s) = -6*b(s) + 13*g(s). What is the second derivative of v(x) wrt x?\nAnswer: 1632*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 70ee6 + -415?\nAnswer: 70ad1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 377974 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 254*r + 42. Suppose 0 = -x + 2*x + 10. Let c be y(x). Let f be (-2776)\/(c\/(-2500) + -1). What is f rounded to the nearest one hundred thousand?\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, x: 3, d: 2, r: 6, s: 1}. Give prob of sequence dq.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 71 + 22 = -27. Calculate the smallest common multiple of b and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -833 = -43*r + 27 for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.04709 times -0.2\nAnswer: -0.009418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t. Let v(w) be the first derivative of -3\/2*w**2 - 5 + 0*w. Determine m(v(b)).\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (1 - (3 + 0)) - -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-three halves of a tonne?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-66)\/(-99)*2343\/2. Let y = d - 261. What is the remainder when y is divided by 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 483 and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*d + 30*d + 55. Calculate the highest common divisor of 4 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-9) - 16\/3. Let n be (4\/(-6))\/(z\/15). What are the prime factors of n*(-26)\/(-4)*2?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -1. Let n(t) = -6*t + 24. Let b(p) = 3*n(p) + 72*q(p). Let k(j) be the second derivative of j**3\/2 - 19*j. Give k(b(u)).\nAnswer: -54*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*t = -4*j - 188 + 547, 4*j - 11 - 24 = -3*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/102 and 145\/1632.\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*h - 3*h - 8*h)*(1 - 1 - 1) + (2 + 1 - 1)*(0*h - h + 3*h).\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(-4*1 + 2). Suppose s + 0 - 2 = -c, z*c + 5*s - 13 = 0. What is the nearest to c in 1, 0.5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence grj when three letters picked without replacement from rjmogkgj?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 8 + 4 + 9*r + 6 as z + g*r and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 37*u + 91. Determine m(-35).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + 5 + sqrt(245) + 4 - (sqrt(245) - (sqrt(245) + (sqrt(245) + 1)*-6))**2) + 0.\nAnswer: -8847 - 490*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 84524887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q + 12. Let z be w(4). Let n(s) = s**3 + 4*s**2 - 2*s - 1. Give n(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.08, -0.2, -0.12?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 143, 189, 237, 287, 339, 393, 449?\n\"Answer: a**2 + 43*a + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 2*z**2 - z - 1. Let d be m(-1). Let y = -5 + d. Is (y\/(-8))\/(1\/238) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -14*t + 174. Calculate c(14).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 5*t - 45, -2*l - 3*l + t + 29 = 0. Calculate the highest common factor of l and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7839344.\nAnswer: 2, 489959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 242 and 734954.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (4 - -11) + 1350 + -1352.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c + 1. Let p(l) = 14*l - 5. Let r(y) = p(y) + 5*u(y). Let v(z) = 7*z**2. Give r(v(n)).\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -2. Let y = 0.152 + 0.048. Let h = -1 - -1. What is the closest to h in -4, d, y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -977683, -977689, -977695, -977701, -977707?\n\"Answer: -6*j - 977677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6584288.1600079 + 6584289. Let m = 0.84 - a. What is m rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 18*t - 76. Calculate c(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 132846286 to the nearest integer?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 176\/(-6072)*-322*4\/1456*12.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.087 - -0.084. What is s rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*g + 5*g = 1610 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 42838 and 42860 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 7*n**2 + 11*n - 8. What is m(9)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.02 - -0.3. Let k = 24.28 - s. Let w = k + -23.99935. Round w to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x - 4. Let q(t) = -19*t - 95. Let r(g) = -12*b(g) + q(g). Give r(4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-7 - -1) + (0 - 0))\/(-2). What is the smallest common multiple of 40 and 24\/9*1*h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -40*n**2 + 25*n - 191. Let x(l) = 9*l**2 - 6*l + 48. Determine -2*i(m) - 9*x(m).\nAnswer: -m**2 + 4*m - 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 64*n + 15. List the prime factors of q(5).\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13146 divided by 2\nAnswer: -6573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22932 - 22564. What is the highest common divisor of 4968 and s?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/129 and -28\/13459?\nAnswer: 40377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.91 * 213\nAnswer: 193.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5130531 and 3552?\nAnswer: 164176992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -56156*v**2 + 2*v + 338892 wrt v?\nAnswer: -112312*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -245 - 670. Let s = 1380 + b. Suppose s = 4*t - 5*f, -5*t - 5*f + 375 = -2*t. Is t a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by 8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -24 - (4 - 15) - -4 - -20\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3244 divided by -33120\nAnswer: -811\/8280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 521, 4169, 13981, 33011, 64313, 110941, 175949, 262391?\n\"Answer: 509*j**3 + 28*j**2 + j - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10330 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 7*u = -14. Suppose -3*i + u = -5. Suppose 4*q = -k - 3, -i*q - 23 = 3*k - 6*k. Sort q, 1, -4, -3 in descending order.\nAnswer: 1, q, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7254 = -234*f + 119*f + 394*f for f.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**2 - 85*l + 30. Let y be t(28). Sort 94, -5, y.\nAnswer: -5, y, 94","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115800?\nAnswer: 2, 3, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8297331 - 12202546. Let s(a) = 419076*a**2 + a + 3. Let j be s(-4). Let t = z + j. What is t rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 32\/(-80) + 2\/5 + 4. Solve 0 = -2*w - c*j + 10 + 10, w = 5*j - 25 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 0*h - 3\/2*h**2 + 14. Let x(f) = -10*f. Let j(q) = 5*q. Let l(n) = -7*j(n) - 3*x(n). Determine l(v(k)).\nAnswer: 15*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149 = -177*k - 121 - 84 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*a**4 - a + 2 - 22680*a**3 + 22677*a**3 + a**2 + 2*a**4 in the form i*a + s*a**3 + r + x*a**2 + u*a**4 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4 = 2*h - 0, 4*x - 11 = -3*h. Let u = 20 + -12. Let c = u - 4. What is the closest to -2 in 3, x, c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42.989 * -3824\nAnswer: 164389.936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01602763 to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 15*o - 19. Let k be -1*(4\/(-1) + 2). Let u(v) = 11*v**2 + 4*v + 3. What is the remainder when u(-2) is divided by j(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2597\/10097 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281101 = -4*n + 281073 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5459199758?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b. Let g(u) = -u + 3. Suppose -5*f + 2*q + 5 = 0, -4*f - 4*q = 15 + 9. Let m(j) = j + 1. Let z(v) = f*g(v) + 3*m(v). Give c(z(w)).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b - 35. Let c be u(13). Solve -3 = -c*m - 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*x + 4*x. Let y(m) = 4 + m**3 - 3*m - 12*m - 3*m + 23*m - 6*m**2. Give y(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -341302 (base 5) to base 6\nAnswer: -131525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-4)*((-10)\/2 + 3). Let x = 0.1 + 0.1. Which is the nearest to x? (a) 2\/7 (b) l (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55107 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (18\/30)\/((-2)\/(-10)). Suppose -2*r - 4*m + 1786 = 0, r - 875 = -k*m + 7*m. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of x**5\/120 + x**4\/6 + x**3\/3 + 10*x. Let o(z) be the second derivative of c(z). Let y be o(-2). Solve 0 = -y*r + 3 - 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 4.24 (c) 2\/5 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*b**5 - 72868017*b**4 + 0*b**3 + 6499*b**2 + 0*b**3 + 72867874*b**4 wrt b?\nAnswer: 840*b**2 - 3432*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q - 9. Let i be l(8). Suppose -2*v + 6400005 = -i*v. Let s be (9\/(-3))\/3 - v. What is s rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -7270*v - 152812. Determine q(-21).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 152 + -146. Suppose -62 - 10 = -f*p. Solve -2*w + 4 - p = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 30 = -2*h - 5*j, h - 3*j = 15. Suppose 0 = 3*u - 3*o - 206 - 124, 190 = 2*u + 4*o. Calculate the greatest common factor of u and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 826705.9m to nanometers.\nAnswer: 826705900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 divided by 53.\nAnswer: -43\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 330, 421, 574, 783, 1042, 1345, 1686?\n\"Answer: -g**3 + 37*g**2 - 13*g + 307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9231411 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + -1)\/(1 + -10). Suppose -6*f - 144 = -4*g - 3*f, 4*g + f - 128 = 0. Let l be g\/(-22) - (-27)\/14. What is the closest to i in -3, l, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11929512397 and -11.1?\nAnswer: 11929512385.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 - 0.2. Let j be 1105\/(-24310) - (-52)\/(-66). What is the smallest value in 3, 14\/9, j, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 4. Let n(y) be the third derivative of 0*y + 0*y**6 - 1\/210*y**7 + 0*y**3 + 1\/60*y**5 + y**2 + 0*y**4 + i. Find the third derivative of n(f) wrt f.\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -828? (a) 31 (b) -4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(108) - sqrt(108)*-1)\/sqrt(9))\/(sqrt(32)\/(sqrt(8)*2)) + (sqrt(27)\/sqrt(3))\/sqrt(3)*1*1)**2.\nAnswer: -40*sqrt(3) + 91","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 861, -3 in descending order.\nAnswer: 861, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-2 - 5) + (-6 - 1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2202 + -11?\nAnswer: 2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - u**2 + 1. Let a(o) = 1. Let b(q) = 16*q + 9. Let y be b(0). Let l be (-16)\/y + 4\/(-18). Determine l*v(p) + 3*a(p).\nAnswer: -2*p**3 + 2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 9) to base 5.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 + 2)*(-2)\/2. Let d = -58 - -59. Suppose 0 = 3*s + c - d, 5*s - c = 4*c - 5. Solve -2*b + k = -s*b + 10, q*b = -k - 5 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, j: 1}. What is prob of picking 2 a and 1 j?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**3 - 164*h**2 + 1716*h - 4176 = 0?\nAnswer: -174, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 222 = -90. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117346403*g + 234692638*g - 117346235*g + 7*g**2.\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*l + 96 = 0, -3*l - 2*l - 62 = -4*r. Calculate the smallest common multiple of 32 and r.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 3*y - 6, -3*a + 3 = -4*a + 4*y. Let j = -0.149 - -0.449. What is the second biggest value in 1\/2, a, j?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36*a*h**4 + 27*a*h**2 + 3*h**4 - 122*h**3 + 11*h**2 wrt h.\nAnswer: 864*a*h + 72*h - 732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 divided by 46?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2732*v - 309. Is f(14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rryy when four letters picked without replacement from yrry.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -75109*w**2 + w - 3 + 3 - 4110*w**3 + 74845*w**2 wrt w?\nAnswer: -24660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3075373 and 28?\nAnswer: 12301492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + z + 3. Let a be n(0). Differentiate 0*i**3 - a*i**3 + 3 - 1 with respect to i.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3*k = -1, 2*u - k - 5 = u. What is the second derivative of 2*x + 4*x - 4*x - 3*x**u wrt x?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*x**2 + 25*x**2 + 3*x + 2079*x**3 - 2128*x**3 in the form w*x + o*x**3 + v + c*x**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-72)\/(-252))\/((-8)\/7). Which is the third smallest value? (a) 4 (b) q (c) 2\/67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + r - 1. Let l(f) = 2*f**3 + 8*f**2 - 8*f + 12. Let a(p) = 2*l(p) + 28*m(p). Factor a(c).\nAnswer: 4*(c - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 494 - 486. Let t(f) = 2*f**2 - f. Let j = -4 + 6. Calculate the lowest common multiple of u and t(j).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/9*(-129)\/2. Let o = 114 + q. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 641 + -633. Let g(o) = -6*o - 2. Let f be g(-4). Suppose 4*l = -3*a + 3, 4*l + 0*l + f = 2*a. Calculate the remainder when q is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -151 - -605\/4. Solve 0 + q*v - 1\/4*v**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2247122 by 2.\nAnswer: -1123561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v + 3 + 0*v - 14*v.\nAnswer: -8*v + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 2191?\nAnswer: -2191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 4*l + 2. Let d be y(-6). Find the third derivative of -d*b**2 + 11*b**5 - 8*b**5 - 5*b**5 wrt b.\nAnswer: -120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 29 = -7*r, -5*f + 17 = -2247*r + 2246*r for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9839.819 and 27?\nAnswer: -265675.113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*f - 28 - 36*f - f**2 + 13*f**3 + 10*f**3 + 46*f to t*f**3 + g*f**2 + a + y*f and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-7)*n**(-10)*n\/((n\/((n*n**(11\/5))\/n))\/n)*n\/(n**(4\/7)\/n) assuming n is positive.\nAnswer: n**(-433\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -91 - -100. Let x be 5\/(15\/r) + -3 + 0. Solve -25 = 5*d - x*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2793051358?\nAnswer: 2, 503, 1187, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 71 = 4*o, -4*g + 61 = 3*o - 2*o. Let a = -11 + g. Solve 10 = s + a*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 28 = -0*j + g, -9*j = 3*g + 60 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 7*k**2 - 6*k + 5. Let p be x(5). Suppose u - 3*m + 2*m + 1 = 0, 5*m = p. Solve -u*n = -n - 5*o - 8, -5*o = 5*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y + 5. Let u be d(8). Let n be (-2*12\/u)\/2 - 1. Factor -1\/3*q**n - q - 1\/3 - q**2.\nAnswer: -(q + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7923 - -7921. Sort 329, 1, q.\nAnswer: q, 1, 329","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2255550 (base 8) in base 5?\nAnswer: 124110344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/11)*g)\/(g**(-3)\/g)*(g*g\/g**1*g)**(-7) assuming g is positive.\nAnswer: g**(-97\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 0*x + 9. Suppose -5*a + 4*r - 48 = 0, -a + 0*a - 6 = r. Let d be (-28)\/49 - a\/14. Put -4, x, d in descending order.\nAnswer: d, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7548 - -7549. Which is bigger: n or -18\/325?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2*p = -22, -3*f = 3*p - 5 - 4. Suppose 0*g = -k + 7*g + 1202, -2*g + f = 0. What are the prime factors of k?\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3263 by 13.\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**2\/3 + 48212*f\/3 + 16070 = 0.\nAnswer: -24105, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rxrrxxarrooaaraooxo. What is prob of sequence oxxo?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 43297956\nAnswer: -4329795.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-88) - (-4)\/(-44)*-2. What is the third smallest value in y, 4, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 0 - 2) + -35. Let f = y - -78. Is f a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9*12\/(-33))\/(0\/(-2) - -2). Which is the biggest value? (a) 0.2 (b) f (c) 5 (d) -14 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -9*u**5\/20 - u**4\/12 + 4*u**3\/3 - 1462*u. Factor w(f).\nAnswer: -f*(f + 1)*(9*f - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (11\/(143\/7020))\/(-1). Which is bigger: y or -549?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u**2 - 6*u**2 + 3*u**2)*(89 + 732 + 2*u**2 + 96) to the form z*u**3 + s + o*u**4 + k*u**2 + m*u and give k.\nAnswer: -2751","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1436264 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2441 - -2431. Let h(r) be the third derivative of r**6\/120 + 11*r**5\/60 + 5*r**4\/12 + 5*r**3\/3 - r**2. Determine h(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 + ((-8038800)\/(-12963))\/10?\nAnswer: 2\/149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16.6 - -15. Let i = 1.4 - v. Let y = -2.8 + i. Which is the second smallest value? (a) 3 (b) -3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 0*g + 10 = g, 0 = 5*z - 5*g - 10. Suppose 4*x - z = 10. Let u be -1 + (3 - (x - 3)). Which is the second biggest value? (a) 0.4 (b) 1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18a213 + 4?\nAnswer: 18a217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15316 - -4?\nAnswer: 15320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**2. Let n(y) be the second derivative of -1697*y**3\/6 - y + 2829. Give n(o(u)).\nAnswer: 3394*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -574*p - 21. Let q be i(-2). Suppose -94*k - q = -101*k. Calculate the greatest common factor of k and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence devd when four letters picked without replacement from vvdvvdvdvedddvvvv.\nAnswer: 5\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 17*a**2 - 1159*a - 67. What is the remainder when f(73) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.12*-1.52.\nAnswer: -0.1824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 4:07 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qfq when three letters picked without replacement from ffufccqfufkfcqi.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -8. Let h(w) = -33*w - 200. Let j be h(-9). Suppose -j + 19 = 26*y. Put 3, 5, b, y in ascending order.\nAnswer: b, y, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((1*(2 + sqrt(208)) + sqrt(208) + -4)*-2 + -4)*5)**2.\nAnswer: -332800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3480744 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2500 (base 7) to base 5.\nAnswer: 12211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 smaller than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in 0.02, 0.81, 4, -12\/7, -1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40878*c**4 - 19*c**3 - 2*c - 61016.\nAnswer: -490536*c**2 - 114*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8547.\nAnswer: 3, 7, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 360 + 19*z - 357 - 11*z. Let l(i) = 1. Let m(p) = -9*p - 6. Let q(f) = 2*l(f) + m(f). Give -7*n(u) - 6*q(u).\nAnswer: -2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 61*z**2. Let t(o) = -843972*o. Give i(t(j)).\nAnswer: 43449612943824*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o - 1. Let l be m(-1). Suppose -3*i + 2 = -i. Suppose -2*k = -i + 3. Which is smaller: l or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(32) + sqrt(2))) + -2 - 6*(sqrt(32))**2.\nAnswer: -194 - 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11853 - 11852.995523. Round a to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 766630?\nAnswer: 2, 5, 31, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -1a7099?\nAnswer: 1a7098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of d - 1\/6*d**3 + 0 - 2*d**2. Determine f(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 17. Let r(u) = -581*u**2 + u - 197. Let p(b) = 2*m(b) + r(b). Find the second derivative of p(l) wrt l.\nAnswer: -1166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3383 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 3*p**5 - 6*p**4 - 5829*p**3 - 11556*p**2 + 17388*p = 0.\nAnswer: -42, -3, 0, 1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/16*(-14558)\/(-251).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -255 - -287. Let l be i\/240 - 174\/(-45). Solve -v - 2 = 6*h - l*h, -8 = -4*h + v for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 15*j. Let g(n) = 71*n - 28 - 168*n + 98*n. Determine a(g(f)).\nAnswer: 15*f - 420","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 11*r**2 - 2137*r - 2148 = 0.\nAnswer: -1, 2148\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 21*j - 1. Let q be r(21). Sort 4, q, 233 in descending order.\nAnswer: 233, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1 + sqrt(7)*-3)*5)**2 - (-1 + -4 + (sqrt(7) - (sqrt(42)\/sqrt(216) + sqrt(7)))).\nAnswer: -14399*sqrt(7)\/6 + 25605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -15\/119, 1, -14?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -58.846 - -58.9. Let f = -0.554 + j. What is the biggest value in 4, f, 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 6*g - 5544 = 0. Suppose -9*k + g = -k. Suppose 105 = 12*c - k. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 130\/17 or 7?\nAnswer: 130\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 16 - 0. What is the common denominator of 2 + -6 + t - 20\/18 and -93\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -3*c + 177, 0 = -4*w - 0 + 12. Let f = c + 47. Let j = f - 144. Round j to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 0. Suppose 0*s - s = 0. Let g = s - -20. Calculate the highest common factor of n and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-180)\/50)\/2)\/((-3)\/10)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7dca12 (base 15) to base 10.\nAnswer: -6016517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 divided by 3?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -10 - 12 + 35 - 14 - 3*m. Calculate b(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*g**3 + g**5 + 41004 - 40891 + 13*g - 32*g**2 + 82*g**2 wrt g?\nAnswer: 20*g**3 + 18*g + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8095738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011000110101000 (base 2) in base 3?\nAnswer: -2022101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 3035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**3 + 1 + 4*y + 4*y**3 - 4*y**3 - 3*y to n*y + r*y**2 + a + z*y**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-91) + 37627\/14898\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0)**50*(i**(2\/3))**22 assuming i is positive.\nAnswer: i**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1500834545?\nAnswer: 5, 7, 17, 61, 41351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2*i**2 + 1 - 13 - 17 in the form y + x*i**2 + k*i and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 491413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4592 (base 13) to base 10\nAnswer: 9752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2431940023.\nAnswer: 811, 2998693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*k**2 - 9*k**2 + 3*k**2 + (-2 + 2*k + 2)*(-2 + 2 + 2*k) + 3*k - 3*k - 2*k**2 - 2*k + 4*k - 1 + k - k**2 to the form t*k + j + w*k**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5473748.\nAnswer: 2, 7, 19, 10289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 175, -12, -211, -428, -669, -940?\n\"Answer: -x**3 - 180*x + 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1530096?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a. Let i be u(5). Let j be (-2)\/2 + (i - -101). Suppose -4*n + j = n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 14*t**2 + t + 22. Calculate the smallest common multiple of 66 and l(14).\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 j when four letters picked without replacement from {p: 4, k: 2, n: 1, b: 1, j: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -872*r + 867*r - 40 = 0 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -112 (base 3) to base 6\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-152)\/(-1710))\/(2\/3).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 12469.33ml?\nAnswer: 12.46933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 minutes after 9:36 PM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: 9413360845.146 - 0.062\nAnswer: 9413360845.084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 74592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20419803689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -556b763?\nAnswer: 556b75e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 62199551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2678, -0.3, -0.5, -4\/5 in increasing order.\nAnswer: -4\/5, -0.5, -0.3, -1\/2678","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 742\/359?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 891 equal to 888?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -200 (base 4) to base 16\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**2 - 1290*n + 1287 = 0.\nAnswer: 1, 429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -75.9 times -5\nAnswer: 379.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1319, 1363, 1397, 1421, 1435, 1439?\n\"Answer: -5*j**2 + 59*j + 1265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/1585156 and -107\/1946.\nAnswer: 11096092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1367*k - 1990*k + 73*k + 226*k + 412830 for k.\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8374 and -0.5?\nAnswer: 4187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1303 + -5299\/4. Calculate the common denominator of r and -3\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25730, -102901, -231512, -411557, -643030, -925925, -1260236, -1645957?\nAnswer: -2083082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10881, 10874, 10855, 10818, 10757, 10666?\nAnswer: 10539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 368*b - 46503. What is z(112)?\nAnswer: -5287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/4)\/(-12))\/(-1)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1558076 to the nearest integer?\nAnswer: 1248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -39449?\nAnswer: 5\/39449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -11*d**4 - 5*d + 6. Let r(j) = 2*j + j**4 - 5 - j + 4. Let t(f) = -h(f) - 6*r(f). Find the second derivative of t(g) wrt g.\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*w - 291 = 11*w - 46*w. Let i be (3\/9*0)\/(-2). Solve 3*n - 2*v - 14 = n, w*v + 12 = i for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 9:25 PM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j**2 - j**3 + j**2 + 2*j**3 + (0*j + 0*j - j**2)*(4*j - 3*j + j).\nAnswer: -j**3 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one halves of a century?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*v - 5985 = -328*v + 33*v for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -38 (b) 5 (c) 2 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -1. Let z(c) = 15*c + 1. Is 8 a factor of z(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.3582967 to 3 decimal places.\nAnswer: -13.358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 548 is divided by 46.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 3010*l - 12024. Determine h(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*j**2 + 9*j**2 + 3*j**5)*(1 + 16 - 1).\nAnswer: 48*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 11:31 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vnnvnzv. What is prob of sequence zv?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (7 + 0 + (94 - 98) - -4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -3*o - 0*m + 6, 0 = 5*o + 4*m + 22. Let z be (-4 - 0) + 1 + -1. Is (o\/z)\/((-2)\/(-172)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71923149.\nAnswer: 3, 103, 77587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(832) + 0) + sqrt(832) + sqrt(832) - sqrt(832))*5*1)**2.\nAnswer: 187200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.672 - 10.6. What is r rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -109998\/101 less than -1089?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - -7 - (287 - 248).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 23.2. What is the biggest value in p, 5, 0.09?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o. Let p(w) = -1105504*w. Calculate d(p(t)).\nAnswer: -2211008*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.8 - 1.8. Let v = d + -10. Let b = -6 - v. Put b, -3, 0.2 in decreasing order.\nAnswer: b, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 150\/525 + 17\/(-35)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 11:55 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -3*z - 579, 4*k + 4*z + 582 = -k. Let l = 137 + k. Suppose -9 = -8*v + l. Solve 1 - v = -3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4081229 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1177 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 5*m + 9 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 1:42 AM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.792 less than or equal to -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55565\/21864 + -1\/3644. What is the common denominator of 15\/(-6)*(-2)\/6 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -2, -75, 2, 16 in decreasing order.\nAnswer: 16, 4, 2, -1, -2, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*m**2 + 220*m - 672 = 0. Calculate m.\nAnswer: 6, 56\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*v - 155 - 180 + 89 = -3*n, -6 = 5*n + v - 28 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 4.\nAnswer: 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/4 - 425181*u\/4 + 5315075\/2.\nAnswer: -(u - 25)*(u + 425206)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 165244 and 17434.\nAnswer: 758","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3008744671?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) -61 (c) 4 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -178*u**4 + 120*u**3 + 2958*u wrt u?\nAnswer: -2136*u**2 + 720*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -279? (a) 1 (b) 0 (c) -2 (d) 4 (e) 1.87 (f) -9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 45 = -30. Let r(d) = 104*d + 98*d + p*d**2 - 3 - 202*d - 3*d**2. Give r(-4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -182*a**3 - 186*a**3 - 1 + 342*a**3.\nAnswer: -26*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 201389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/13, 11, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y**3 - 9 - 5*y**3 + 3*y**3 - 2.\nAnswer: 3*y**3 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 160*z**4 - 12*z**2 + 12*z**2 - 158*z**4 + 2*z**2 - z + 1 - 9*z**3 in the form y*z**3 + t*z + g + o*z**2 + b*z**4 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7920739 years to centuries.\nAnswer: 0.007920739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*o + o - 3*o + 4 - 4 + 2*o + (4 + 0 - 6)*(-o - 5*o + 4*o) - 3*o + 2 - 2)*(-4 + o**2 - 20*o + 20*o).\nAnswer: 7*o**3 - 28*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-90)\/(-6)*(-12)\/10. Let c be (-20)\/(-90) - 50\/i. Solve -c*s - 3 = 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 134 - 185 = -3*f, 0 = f + 2. Suppose 2*s = -5 + w. Calculate the greatest common factor of s and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2775749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 5:28 PM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -70? (a) -9 (b) -0.3 (c) -3 (d) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 1517 = -5*a, -s - 653 - 95 = -a. Let f be -1751 - -1*12\/(-4). Let q = s - f. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -1\/8, 0.5, 1\/105, 1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x**(2\/21)\/x))\/x)**(19\/5)*x**(-1\/5)*x\/x**(13\/6) assuming x is positive.\nAnswer: x**(411\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 3*u - 2, 0 = -h - 0*h - u - 2. Let r(l) = -4*l**2 + 6*l**2 + 3*l**h. Let d(j) = -9*j**2. Determine -6*d(n) - 11*r(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1664, 13891, 47236, 112259, 219520, 379579, 602996, 900331?\n\"Answer: 1760*h**3 - h**2 - 90*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) -4 (b) 1\/3 (c) -1\/10 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 h, and 1 n when four letters picked without replacement from sssslssssshlhhssshln.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1837\/8 - 234. Suppose -4*b - 5*m = -17, 3*m + 0*m = b. What is the common denominator of (-10)\/(-12) + (5 - b) and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 1, 2, 4 in decreasing order.\nAnswer: 19, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7113 + 7117. Solve c*n = -0*v - 3*v + 32, -61 = -9*v - 5*n for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 256963*x**2. Let k(u) = 6*u**2. Calculate k(g(f)).\nAnswer: 396179900214*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 2545740 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 w, and 1 k when four letters picked without replacement from wwkklklwlwwklww?\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -0.17. Let f = g + 0.14. Let i = f + -0.57. What is i rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzggzzzz. What is prob of sequence ggz?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1055850.6 months?\nAnswer: 879.8755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -522, -1, -11.\nAnswer: -522, -11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3 - 168*c**2 - 2 + 162*c**2 - 1. Let q(o) = o**2. Let x(k) = 5*q(k) + w(k). What is the derivative of x(b) wrt b?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -149333 - -9?\nAnswer: -149325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2700952, -2700954, -2700956, -2700958, -2700960?\n\"Answer: -2*k - 2700950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1153475 by -5.\nAnswer: 230695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/6 and 143\/120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l\/(l**(-19)*l)*l*l\/((l*l*(l\/((l\/l**(3\/29))\/l))\/l)\/l)*((l*l**1*l)\/l)\/(l**(-16)*l) assuming l is positive.\nAnswer: l**(1099\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.079 times 3.5\nAnswer: -0.2765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 489564.7 or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2303*x + 487. Is z(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20 or -2783\/137?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3 + 15180*j**2 + 15174*j - 30356.\nAnswer: 2*(j - 1)*(j + 2)*(j + 7589)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 325979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*m + 83*m - 50*m.\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 1 = -3*z, -9*z + 3*r = -7*z + 22 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hi when two letters picked without replacement from uipuphp.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 8 - (0 - (0 + -3) - (20 + -27))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 16) in base 5?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.7665 to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2019*s + 5*k = 2022*s - 68664, -91621 = -4*s - k. What is the ten thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*(-2)\/24 + (-48440)\/(-12). Let q be 6\/(-2)*(j + 5 + 3). Let p be (q*1)\/(36\/2400). What is p rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d**(-7\/4)\/d)\/d*d*d**(-1\/14))\/((d\/(d\/((d*d**(-3\/4)*d)\/d)))\/d**(-6)) assuming d is positive.\nAnswer: d**(-113\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000111000000 + -111111011100111?\nAnswer: -11110100100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1369 a factor of 88054080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -24)\/5 - -8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(1008) + -1*sqrt(1008)*-5)**2 + 0 + -4)*5 + -3.\nAnswer: 181417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 11*w**2 + 7. Let j(x) = 6*x**2. Give j(v(i)).\nAnswer: 726*i**4 + 924*i**2 + 294","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.95 - 0.05. Let m(l) = l - 34. Let n be m(40). Let x be (-2 + 2 - n)*(-11)\/(-77). What is the second smallest value in x, p, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p + 134 = 134 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156 = b + 4*s - 171, 2*b = -2*s for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13133432 a multiple of 586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -378 - -392. Let c(a) = 7*a**2 - 84*a + 6. Let l be c(b). Calculate the greatest common factor of l and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4\/13)*o*o*o**(-5))\/(o*o**1*o)**(-16) assuming o is positive.\nAnswer: o**(581\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 20\/(-35) + (-2 - 1104\/(-21)). Solve 28 + t = -26*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.33159708 and -16.\nAnswer: -17.33159708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -313*x + 299*x = -5563*x + 338489 for x.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pi when two letters picked without replacement from {l: 2, i: 3, p: 2, m: 8}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -420*f + 1869. Calculate n(5).\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1517, -2782, -4891, -7844, -11641, -16282?\n\"Answer: -422*b**2 + b - 1096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 7\/((-3010)\/66) - ((-48)\/5 + 9)\/3\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjxvjvvlvvhvlhvvv. Give prob of picking 1 x, 2 l, and 1 v.\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k + 17. Suppose 0 = 5*q - 1 - 9. Calculate the lowest common multiple of x(5) and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 501\/4 + -12541\/100. Which is the third biggest value? (a) -2\/5 (b) 0.3 (c) 3 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - (156\/(-10))\/(-2 + 6). Let f be (-7)\/(-14)*(-8)\/(-6). Which is the biggest value? (a) 1\/5 (b) 20\/3 (c) k (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of p**3\/3 - 7*p**2\/2 + 7*p - 3. Let i be s(7). Which is bigger: i or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -5*a**6\/6 + 7*a**3\/2 - 12*a. What is the second derivative of w(u) wrt u?\nAnswer: -300*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 + -1)*3\/(-9). Let a be 11\/(-396) - n\/(-8). What is the second biggest value in -1\/6, a, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1*sqrt(200) + 0)**2.\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 342 - 577 + 70 + 80 - 5*t + 85.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 5*m - 36, -5 = -2*j + 4*m - 29. Put j, -5, 115 in ascending order.\nAnswer: -5, j, 115","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1467487.\nAnswer: 7, 29, 7229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p + 14942 = 15*p. Suppose -10*d = p - 14882. Calculate the greatest common factor of d and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/4? (a) -1 (b) -3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -330\/2467 or 1?\nAnswer: -330\/2467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 11\/3*z**3 - 3*z**5 + 0*z**2 + 9 + 0*z + 0*z**4. What is the third derivative of k(p) wrt p?\nAnswer: -360*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14481710 (base 9) to base 2\nAnswer: -11011011101100000000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 14*v + 12*v = 962, 237 = -j + 3*v. Let n = j - -312. What is the highest common divisor of 18 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*h**2 + 71*h**2 - 209*h**2 + 74*h**2.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4160 (base 12) in base 10?\nAnswer: 7128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 5*y**2 + 38*y - 7. Let l = -100 - -143. What is the remainder when l is divided by s(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.44 + -0.04. Let y = -0.6 + h. What is y rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 18*y. Let w(q) = -q. What is -3*i(a) - 63*w(a)?\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 228442404?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 15 = -i, -5*d + 351 = -4*i. Calculate the remainder when 850 is divided by d.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -12. What is the third biggest value in z, 0.1, 2, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295 is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27*2\/4)\/(11\/220*-15).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 + 42. Let u be -1 + p + -7 + -4. Sort -4, u, -2\/5 in increasing order.\nAnswer: u, -4, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 279, 587, 925, 1293, 1691?\n\"Answer: 15*b**2 + 263*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p + 11. What are the prime factors of f(5)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-814)\/(-6) - (-5)\/15 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 6:10 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/335? (a) -0.1 (b) -1\/4 (c) -0.4 (d) 1.31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 24, 1\/3?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 10, z: 1, t: 2, v: 2, c: 1}. What is prob of sequence pt?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3 - 7*z + 21*z - 15*z. What is the least common multiple of 9 and k(-1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**4 - 130749*b**3 - 392229*b**2 - 392223*b - 130740.\nAnswer: -3*(b + 1)**3*(b + 43580)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3862, -3858, -3852, -3844, -3834, -3822, -3808?\nAnswer: -3792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 213, 472, 735, 1002, 1273?\n\"Answer: 2*h**2 + 253*h - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 216572*x - 287*x**2 - 216572*x.\nAnswer: -287*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -413.9*0.4.\nAnswer: -165.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 5 = 2*x, 0 = -4*x + 6*h - h - 11 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-4) + ((-25586)\/(-9240) - 3)\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 33 = -12. Let o be (-1 + 7)*112\/(-21). Let z = o - -67. What is the remainder when z is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1724*d**3*s*x + d**3*s + 641*d**3*x**2 + 16465*d*s*x**2 + 3703*d*x wrt x?\nAnswer: 1282*d**3 + 32930*d*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6f (base 16) to base 3.\nAnswer: -11010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 536 and 201?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 15*j + 2 + 40*j.\nAnswer: 25*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*t + 37*t = 325. Let l = t - 42. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 18*u + 88. Let v(h) = -4*h**3 + 3*h**2 - 3*h - 3. Let s(j) = -4*j**3 + 4*j**2 - 4*j - 4. Determine u*v(t) + 3*s(t).\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/3*(1 + -1)\/3*227\/454.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -3) + 6 + -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13335186910 - 3.\nAnswer: 13335186907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does -5\/9722 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/258*45\/(-120))\/(150\/300).\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/231)\/(12\/14).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*u*w + 7008*u - 31212546*w - 38424 wrt w.\nAnswer: -8*u - 31212546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qpphffpffroq. What is prob of sequence frqp?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 - -17.2. Let p = -16.80517 - k. Round p to 4 decimal places.\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/11 and -3\/6512.\nAnswer: 6512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.117674669 to four dps.\nAnswer: 0.1177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -193\/15 + 13. Let n(q) be the third derivative of -2*q**2 - h*q**3 - 1\/300*q**5 - 1\/200*q**6 + 0 + 0*q + 1\/15*q**4. Factor n(y).\nAnswer: -(y - 1)*(y + 2)*(3*y - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189882.\nAnswer: 2, 3, 7, 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4447 times -0.063335?\nAnswer: 281.650745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 9 = 3*q, 3*g + q + 1 - 4 = 0. Let l be (-2)\/(8\/(g + 2)). Let c = 617 + -617. What is the nearest to l in c, -1\/4, -2\/9?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + 11 + 35 - (-17 + 39)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tiqea. What is prob of sequence te?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/43 (b) 1\/90 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 488b932 - -3?\nAnswer: 488b935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.93, 0.5, -0.6, 4 in increasing order.\nAnswer: -5, -0.6, 0.5, 0.93, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {o: 1, i: 2, c: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l**2 - 4*l**2 + 0*l**2 - l**2. Let p(d) = 30*d**2. Determine k(p(m)).\nAnswer: -1800*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 18*f + 3440. What are the prime factors of (-101222)\/f + (-1)\/(-5)?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/1052 and -39\/20?\nAnswer: 5260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -821 + 2522. What is the greatest common factor of 42 and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h**3 - 25 + 7 + 9 + 3*h**3 + 9.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 + 15 + ((21 - 15) + -22 - 53)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -5 + 4. Let g be s\/3*9 - 3. Suppose 3*x - 289 = -4*o, 4*x + 4*o - 129 - 251 = g. What is x rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2704800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 23, 3\/2, -2\/5, 5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*u**3 + 297*u**2 + 387*u + 78.\nAnswer: -3*(u - 26)*(u + 1)*(4*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-116)\/(-232))\/(13\/(-4))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ij when two letters picked without replacement from {j: 1, i: 1, d: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -232 (base 5) to base 9.\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61 by 5.\nAnswer: 61\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 74947035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 8*g**3 - 111*g**2 + 1534*g - 4262. Let r(v) = -39*v**3 + 558*v**2 - 7671*v + 21324. Let s(u) = 24*n(u) + 5*r(u). Solve s(z) = 0.\nAnswer: 4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -594540, -594585, -594660, -594765, -594900, -595065?\n\"Answer: -15*u**2 - 594525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -5, 2, -106712 in descending order.\nAnswer: 22, 2, -5, -106712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3930424025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/2 + (-35)\/2. Let t = x - -42. Calculate the greatest common divisor of 12 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 - 4780*t - 5712100.\nAnswer: -(t + 2390)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66876456.\nAnswer: 2, 3, 23, 97, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2*s**2\/9 - 2972800*s\/3 - 1104692480000 = 0.\nAnswer: -2229600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 11:46 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffaf when four letters picked without replacement from fffffaffffff?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -248149 * -0.5.\nAnswer: 124074.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*h - 8173 - 4072 = 0. Calculate the remainder when h is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4459 = -175*u + 188*u. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60*y + 83*y + y)*(-y**2 - y**2 - 5*y**2).\nAnswer: -1008*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.6 + 1.7. Is -1\/9 greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 125*d - 51*d + 34*d)*(-4*d**2 + 0*d**2 + 3*d**2) to the form x*d**2 + k + j*d + g*d**3 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-4 - (3 - (-4 - -5)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -454, -449, -442, -433?\nAnswer: -422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 44, 86, 156, 254, 380?\n\"Answer: 14*y**2 + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: Multiply 41428199 and 5.\nAnswer: 207140995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*w + 2855 = -729*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44648 or 48847?\nAnswer: 44648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -109.03057163 rounded to 0 dps?\nAnswer: -109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 255, 421, 807, 1503, 2599, 4185, 6351?\n\"Answer: 15*k**3 + 20*k**2 + k + 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3866654?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -746*i = -158*i - 1764 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 790 - 459. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1268.9664 - 0.0336. Let w = -1268.998667 - u. Round w to four decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -807, -972, -1423, -2304, -3759, -5932, -8967?\nAnswer: -13008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/3, 0.05, -25?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 169, 486, 957, 1582, 2361, 3294?\nAnswer: 4381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 6*i - 3*i + (0 + 0 + 3*i)*(1 - 1 - 2) + 63*i - 36*i - 53*i - 3 - 3 + 2*i + 3)*(3 + 0 - 6).\nAnswer: 87*i + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + 21 - (0 + 1 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + c**3 - 8554*c + 12565*c + 4 - 3.\nAnswer: c**3 + 4011*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 7*u + 8 = 0. Let r = 1044\/5 + -208. Which is smaller: r or u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*m + 87*m = 3451 - 383 for m.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 856 divided by -4?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by (1\/(-3))\/((-19)\/570).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17986.841*0.5\nAnswer: 8993.4205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -152 + 136. Find the common denominator of ((-6)\/o + 8585\/2856)\/(-2) and 107\/48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -61, -181, -357, -547, -709, -801?\n\"Answer: 7*q**3 - 70*q**2 + 41*q - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.34 - -0.14. Put q, -1\/6, -3 in descending order.\nAnswer: -1\/6, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/41917 and 28\/2259.\nAnswer: 377253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 16*v + 5. Let b be l(-15). Let r be 21 - 2\/b*(-3 + -2). Solve -r = 5*a - 0*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14019332.6 rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 898197.5 years to millennia.\nAnswer: 898.1975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3516550?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 936*a - 544. What is the thousands digit of w(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbaaxxbaqa. Give prob of picking 1 b and 1 q.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1142082812 divided by 141242.\nAnswer: -8086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (102\/(-119))\/(-2 - 100\/(-56)). Which is the closest to -6? (a) 0.1 (b) 22 (c) l (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -4*l. Let g(x) = 10*x**2 - 2*x + 49. Determine z(g(p)).\nAnswer: -40*p**2 + 8*p - 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.220137 rounded to two decimal places?\nAnswer: 71.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -57 + -23 + 20.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 145*g**2*m*p + 37*g**2*m - 2*g**2*p - 2*g**2 + 1948*g*m*p + 6*g*m + 8*m*p - p wrt g?\nAnswer: 290*m*p + 74*m - 4*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 17720\/(-14) + (-96)\/336. Let y = m - -2289. Does 75 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(-2)\/(-4) - -17. Suppose -5*u + 10*u + 90 = 0. Let y = u - -66. Calculate the highest common factor of y and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1209315 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31*t**2 - 79*t - 1182 wrt t.\nAnswer: 62*t - 79","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-12643723.2.\nAnswer: 1264372.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -33*y + 7. Let u(p) = 2. Let v(w) = 2*t(w) - 10*u(w). Let m(g) = 2*g + 2. Let a(x) = 2*m(x) + v(x). What is the first derivative of a(b) wrt b?\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -15*x - 46. Let c be a(-3). Let j(z) = z**3 - z**2 + z + 1. Let o(p) = 34*p**3 + 6*p**2 - 5*p - 6. Calculate c*o(g) - 6*j(g).\nAnswer: -40*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68644555.\nAnswer: 5, 7, 17, 43, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 4*g + 22, -n + 70*g - 4 = 65*g for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in years?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 6:52 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 3*t + 25. Suppose -4*s = d - 75, -d - 2*d - 22 = -s. Suppose 37 = 4*m - k, t*m + 2*k - s - 11 = 0. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/((-99)\/3))\/((-119)\/21777)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111001011101000 - 1001?\nAnswer: 1111001011011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = k + 36, 5*t + 44 + 46 = -2*k. Let c be (-4)\/t - 30\/135. Solve c = -8*u + 11*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4833.\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 2*m**5\/85 + 4*m**4\/17 - 22*m**3\/51 - 18*m**2\/17 - 768. Let d(c) = 0. Calculate c.\nAnswer: -9, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1786 + -1531. Does 17 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 14, n: 1, l: 1}. What is prob of picking 1 l and 2 y?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -12496696 rounded to the nearest 10000?\nAnswer: -12500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/20 + 88\/(-10). Let l be (30\/c)\/(3\/(-18)). Solve -3*n - l = n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2336 + -2335. Sort -627, n, 1\/2 in descending order.\nAnswer: n, 1\/2, -627","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 - -41. Solve -l*t + 2*t - 15 = 5*a, 3*t + 11 = -a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12 or 1231?\nAnswer: 1231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 601 = 4*r + m, -3*m - 160 = -r. Suppose -4*s + 3*s = 5*k - 374, -s - r = -2*k. What is the highest common divisor of k and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*w + 22 = -3 - 59. Solve 0 = 3*g - 5*g + 6, q - 10 = -w*g for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -271 - -146. Let n be (f\/(-15))\/5*3. Solve -3 = 2*m + 2*v + 15, n*v + 9 = 4*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1573) + 5 + sqrt(1573) + sqrt(1573) - sqrt(1573))**2 - sqrt(1573) - (sqrt(1573) + sqrt(1573) + ((1*sqrt(1573)*-1)**2 - sqrt(1573)))) + 3.\nAnswer: 638*sqrt(13) + 17381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by (0 - -2)\/((-1)\/(-13)).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2827176798?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00018107796 rounded to 5 decimal places?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 2*n + 28, -j = -5*j + 3*n + 52. Let k be (-548)\/(-5) + j\/25. Calculate the highest common divisor of k and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 837*q. Let o(s) be the third derivative of -s**4\/24 - 16*s**2 - 3*s - 2. Give m(o(d)).\nAnswer: -837*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gughuhzhhghgbu. Give prob of sequence gu.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -i**7\/840 + i**6\/120 - i**5\/40 + 5*i**3\/2 + 6*i. Let c(o) be the second derivative of y(o). Let s = 4 - 2. Calculate c(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 59493261 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 314404 (base 5) in base 14?\nAnswer: 3c16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 808\/(-3696) - 4\/(-24). Is 0 bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 655851.\nAnswer: 3, 7, 31231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -152334*h**3*w**2 + 1772*h**2*w - 49*w**2 wrt h?\nAnswer: -914004*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/((-20)\/(-15)) + 1. Suppose -h - 3 = -3*v + 2*v, 4*v = 3*h + 8. Sort z, 2, h in increasing order.\nAnswer: h, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 2)*((-3*l + 2*l - 2*l)*(-2 + 0 - 2)*(2 - 3 + 0) + (l - l - l)*(5 - 2 + 2)).\nAnswer: -51*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -187 + 186.9. Let c = 5.3 + -5. What is the second smallest value in c, 0.1, -11, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6583898387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**4\/11 - 342868*a**3\/11 + 14717411850*a**2\/11 - 1936817840504*a\/11 + 3814768776520\/11 = 0. Calculate a.\nAnswer: 2, 130, 85651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -560, -1138, -1730, -2342, -2980, -3650?\n\"Answer: -h**3 - h**2 - 568*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98555?\nAnswer: 5, 23, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 7*a**3 + 16*a**2 + 18*a + 8. Let q(i) = 4*i**3 + 8*i**2 + 9*i + 4. Let z(r) = -3*c(r) + 5*q(r). Let s = 105 + -111. What is z(s)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from offofffff. What is prob of sequence of?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*h - 44*h - 17*t - 74, h - 18 = 5*t for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 9:13 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 45021, 41151, 37281, 33411?\n\"Answer: -3870*w + 48891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 5*z - 20. Suppose 0*f = 2*f + d - 5, 3*f - d = -5. Suppose f*j = -z*j. Let k(m) = -m**2 - m - 6. What is k(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1393 is divided by 81.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 311 - 3?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 2914794814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 80032450*q**4 - 3*q**3 - 817239532*q**2 wrt q?\nAnswer: 1920778800*q - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 1923*y + 1930*y - 24)*(-17 - 15 - 50) to d + f*y and give d.\nAnswer: 1476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 2*f + 37662 = 0, 5*f = 8*q - 5*q - 22622. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8 or -6\/757?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*h**3 - 86072*h**2 + 1183061*h wrt h?\nAnswer: 18*h - 172144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.1, 4 in increasing order.\nAnswer: -1, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -o**8\/336 - o**6\/90 + 2*o**3\/3 + 12. Let a(y) be the third derivative of h(y). Find the third derivative of a(t) wrt t.\nAnswer: -120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 36\/17 (b) -1359 (c) 5 (d) 3\/5 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26254060?\nAnswer: 2, 5, 7, 277, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1700 + -1702. Put -1\/6, m, 14, -0.5, 12 in descending order.\nAnswer: 14, 12, -1\/6, -0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1681626*v - 840793*v - 840836*v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f - 47 = -159. Calculate the highest common divisor of f and 8624.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 4*n**2 + 0*n**2. Let h = 466 - 160. Let q(c) = h - c**2 - 306. Give m(q(j)).\nAnswer: 3*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5*o**2 + 42*o - 17. Let y be g(-30). Let f(r) = -y*r**2 + 4 + r**3 - 6 + 3224*r**2. Determine f(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - h - 0*h, 4*v + 4*h = 24. Suppose 3*g - v = 4. Let y(n) = 0*n**2 - n**2 - g*n**2. Let b(z) = z**2. Give y(b(m)).\nAnswer: -3*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -5*v + 16. Let j = -85 + 49. Let g = j - -40. Let a be u(g). Does a = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.5 + -0.1492514.\nAnswer: 13.3507486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/83, -424, -10, 5, -1, 1\/4, 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2176197, 4, -26.\nAnswer: -2176197, -26, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 36 + 34 = 0. Suppose -5*x - 2*d = -q, 2*x + 3*d - 3 = 3*x. Suppose 5*r - x = -2*z, 2*z - 4*z = 2*r. Put -1, r, 5 in ascending order.\nAnswer: -1, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 + 24. Suppose 2*l - 9 = -3*u - 35, -3*u = 5*l + 65. Let j be l\/(-2) + (-5 - (-33)\/6). Sort 4, z, j in ascending order.\nAnswer: z, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1167.7 and 4.5.\nAnswer: -5254.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291080 is divided by 56?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - 0 - -1 - -2. Let r(c) = c**2 + 2*c - 1. Let v be r(1). Suppose v*i - o*w + w - 99 = 0, -132 = -3*i - 4*w. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 greater than 3968\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-104)\/2964*38*12?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1065965*h*w**4 + 74891*h*w - 3*w**4 wrt w?\nAnswer: 12791580*h*w**2 - 36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 101329*h**6 - h**5 - h**3 + 9870*h**2 - 4*h.\nAnswer: 12159480*h**3 - 60*h**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 389243, 778257, 1167269, 1556279, 1945287, 2334293?\n\"Answer: -c**2 + 389017*c + 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o + 4. Determine s(7).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, 0.86, 91, 103?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 f when four letters picked without replacement from ffefefxeffxggfeeef.\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13605 to the power of 1\/2, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -15*y**2 - 2*y + 1. Let l(g) = -65*g + 2. Let n be l(1). Let f = n - -64. Calculate w(f).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 196449449?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -25.97, 0, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18.62 - -18. Let z = 0.62 - 1. Let r = z + y. Which is the smallest value? (a) -0.08 (b) r (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 1 = f - 0, -4*s + 23 = 3*f. Let m(k) = -k**2 + 11*k + 4. List the prime factors of m(f).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l. Let o(m) = -5*m - 16. Let x(k) = -2*o(k) - 6*p(k). What is the units digit of x(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/20 + (-44 - (-27786)\/660).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46484, 51267, 56050, 60833?\nAnswer: 65616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6324 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f + 3*f - 2*f + (0 - f + 0)*(2 - 5 + 4) - f + 2 - 2 + (-2*f + 4*f - 4*f)*(-1 + 1 - 1) + 1 + 0*f + 1 + 4*f.\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*v = 3328 + 1019 for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 15, -2 in increasing order.\nAnswer: -4, -2, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56414 and 335?\nAnswer: 282070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**3 - 14319*g**2 + 33093*g wrt g.\nAnswer: -12*g - 28638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1221430 (base 5) to base 11\nAnswer: 16611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3591.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**3 + 8*g**2 + 6*g + 37. Give b(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 1)\/(3\/(-18)). Is (-1)\/2 - (-1149)\/b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = x - j - 17, -x + 2*j = -11 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*1*(-60)\/(-45). Suppose -3*j + 149 = o - 20, 0 = j + 4*o - 71. Suppose -v + j = s*v. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -37786 and 0.433.\nAnswer: -37785.567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 + -26. Put 0, k, 0.5 in descending order.\nAnswer: k, 0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37\/74 + (-195)\/715.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21677411 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -12*a**3 - a**2 - 17*a - 12. Determine p(-4).\nAnswer: 808","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 2504192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -754, -22, -3 in descending order.\nAnswer: -3, -5, -22, -754","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/9 (b) 1 (c) -0.3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 i, and 2 f when four letters picked without replacement from kimfmkimmiikfiiiifii.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23.6 and 834?\nAnswer: 19682.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - 40*u - 15 to k + z*u and give z.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**3*d**4)**(-2\/5)\/(d**(-6\/11)\/d**(2\/7))**(4\/5) assuming d is positive.\nAnswer: d**(-822\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + v + 5*j - 140, 2*v - 3*j = 106. What is the greatest common divisor of 10 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 847 and 352957.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 37*c. Let l(m) = 475254*m. What is g(l(n))?\nAnswer: 17584398*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - -3 - (-4)\/(-2). Suppose r = -0*n + 2*n - 374. What is the highest common factor of n and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.77 - 0.07. Let m = 0.96 - k. Let b = m - -0.04. Round b to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 32630396 or 32630395?\nAnswer: 32630396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.59 + 64618.92299.\nAnswer: 64616.33299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7 + ((-315)\/(-140))\/((-3)\/(-4384))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 1530 - 1525. Calculate the highest common divisor of n and 845.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 40*a**2 - 437*a + 198. Let j be x(-49). Let n be 1\/(1 - 16\/20). Determine l, given that 5*l + 5\/4*l**j + n = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-4)\/y*y)*y*y*y**(-6))\/(y\/(y\/(y**(-2\/3)\/y))*y*y*y)**(-2\/73) assuming y is positive.\nAnswer: y**(227\/219)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 + 14. Let l be (1 - 1)*5\/b. Let w be -1 - 740\/(-245) - (l + 2). Are w and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 4074?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-303)\/(-12))\/(9\/(-2)) and 6\/4*15\/(-27).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-92 - 117) + 90 + 33\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*i - 219*i**2 - 5*i + 4*i**2 to the form o*i + t + k*i**2 and give k.\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0023 to 4 decimal places.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20421553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3 - 4680*q**2 + 105764*q - 275280.\nAnswer: 4*(q - 1147)*(q - 20)*(q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1954?\nAnswer: 2, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -7.7 (b) -0.029 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 2*o. What is the units digit of g(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252885350 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 24, -5, 79.\nAnswer: -5, 0.5, 24, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 526600 rounded to the nearest 10000?\nAnswer: 530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -301.86 - -315. Round r to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(2 - 291\/150). Suppose 3*v - t = -2*v. Suppose -2*u - j + 46 = v, j = u - 12. Does 8 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 514587?\nAnswer: 3, 171529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 <= 1479\/76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3*(sqrt(77) + (1*sqrt(77) - sqrt(77)) - sqrt(77) - sqrt(77)) - sqrt(77) - -2*sqrt(77)*1)\/(sqrt(21)\/(sqrt(12)\/sqrt(16))).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6552 or -17950?\nAnswer: -6552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*((i**3*i)\/i*i)\/i)\/i**(1\/7))\/(i*(i\/(i\/i**(-1\/3)*i))\/i*i*i*i**3*i) assuming i is positive.\nAnswer: i**(-17\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-three sixths of a hour?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 8, p: 3, r: 1, y: 1, k: 2, n: 1}. Give prob of sequence ppy.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 3*h**2 - h - 1. Let c be d(3). Let s = 4 + c. Suppose -3*j - 15 + 93 = s. Is j a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (448\/48)\/(((-8)\/(-20)*-5)\/(-3))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 15*z + 5. Let v = 46 - 31. Let c be x(v). Suppose -3*w - t + 2 = -c, -5*w - 5*t + 15 = 0. Solve -w*b + 0*l - 2*l = -10, 0 = 2*b - l - 4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(sqrt(56)\/sqrt(2)))**2 - ((sqrt(6) + 2*sqrt(6))\/sqrt(3) + -5).\nAnswer: -3*sqrt(2) + 11\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -4*x + 44. Let f be v(10). Let u = -18 + 10. Sort f, -5, 5, u in decreasing order.\nAnswer: 5, f, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -o + 1, o = -3*z + 2 - 1. Suppose -5*l = 3*h - 12, z = 3*l - 0*l + h - 4. Which is smaller: l or 10\/11?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3\/5 - 381408*w**2\/5 + 2288367*w\/5 - 686502.\nAnswer: 3*(w - 127130)*(w - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/250 and 73\/100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*k - 3 = 0. What is the first derivative of -38 - k*h**3 - 2*h**3 + 22 - 2*h**4 + 0*h**3 wrt h?\nAnswer: -8*h**3 - 15*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24287, 76997, 164871, 287927, 446183, 639657, 868367?\nAnswer: 1132331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*x - 23*x + 16*x)*(-336*x - 208 + 174*x + 165*x) as v*x**2 + u*x + q and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -39478, -78935, -118394, -157855?\n\"Answer: -a**2 - 39454*a - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((g\/(g\/(((g**(-2\/13)*g)\/g)\/g)))\/g*g)**(-11))**(18\/5))**(2\/109))**3 assuming g is positive.\nAnswer: g**(3564\/1417)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 22, 42, 90, 178, 318?\n\"Answer: 2*r**3 + 2*r**2 + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7086434.\nAnswer: 2, 347, 10211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y + 14. Let w be s(12). Solve 2*p + 10 = w*x, 0*p + 6 = -2*p for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + 5*r + 36 = 0. Let l(h) = -4*h. Let i(t) = -7*t. Let f(u) = r*i(u) + 7*l(u). Let k(v) = 27*v. Determine f(k(s)).\nAnswer: -189*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u = 6*u + 3*o + 2, 5*u = -3*o - 26 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1062 + -2001. Let u = -122479\/40 - f. Find the common denominator of -19\/20 and u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -1713*r**5 - 5205*r**4 + 47766*r**3 + 1848*r**2 = 0.\nAnswer: -7, -22\/571, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*a**2 - 11*a**2 + 18*a**2.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 858 and 136994?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.17 (b) -25 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (805139\/(-5713) - -198) + (-2)\/29\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000011779588 to six dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 4*d + 9, -4*d + 2*c - 3*c = -3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/3 - 140*h**2\/3 - 1168*h\/3 - 2368\/3.\nAnswer: (h - 148)*(h + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 2, -12, -34, -64, -102, -148?\nAnswer: -202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2376372 a multiple of 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-8) - ((-275)\/44 + 9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, j: 6, a: 4}. Give prob of picking 3 y.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31694 - 31691. Solve -2 + 1\/3*z**4 - 11\/3*z - z**2 + z**m = 0 for z.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4559*t**3 - 194*t**2 - 194. Let g(p) = -95*p**3 - 4*p**2 - 4. Determine -97*g(f) + 2*v(f).\nAnswer: 97*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*g = -21*g + 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 12\/25 of a microgram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -439.0655701 + 438.0397. Let b = -1.026 - x. What is b rounded to six dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*c = -9, -4*l - l = -c - 56. Let t be ((-1 - -2)*l)\/1. Suppose 2*z - 50 = -4*x, 5*x = 4*x - 2*z + t. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2\/4 + 215*v + 9245.\nAnswer: 5*(v + 86)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -5118*r**2 - 70*r. Let m be t(-5). What is m rounded to the nearest one thousand?\nAnswer: -128000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 168763 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z + 22. Determine q(-7).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s + 12. Let x be p(-11). Suppose 0 = -o + 5*k - 19, k - x = 4*o - 4*k. Suppose o*i + 4*h + 88 = 4*i, -4*h - 46 = i. Round i to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -844 - 18.\nAnswer: -862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1737 - -a?\nAnswer: 1743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 639 = 4*m - 273. What are the prime factors of m?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**2 - 6*m**4 + 2*m**4 - 3*m**3 - 16 + 15 to the form n*m**4 + q*m**3 + k + r*m + t*m**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 5*s**2 + 2068205*s + 2068200 = 0.\nAnswer: -413640, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-24)\/(f*f**(-10\/7)\/f*f*f)*((f*f**(-9))\/f)**0 assuming f is positive.\nAnswer: f**(-172\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 4.594352g?\nAnswer: 4594352000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -876\/191?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0159313791 rounded to 3 decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -s, -3*r + 3 = s for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30788027, 61576054, 92364081, 123152108?\nAnswer: 153940135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b**2 - 13*b - 5*b**2 + 5*b**2.\nAnswer: -5*b**2 - 13*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b9c90c (base 14) to base 16\nAnswer: 6013c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4 = -3*y, 4*y - 32 + 10 = 3*f. Solve 5*d + 2*t + 6 = 0, -5*d + 2 = -2*t - y for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -118319\/887505 - 1\/59167. Let d(w) = w**2 + w. Let r be d(-1). Let u = 0 + r. Which is the closest to u? (a) i (b) 0.3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 - 58.3369254?\nAnswer: -58.2269254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 378 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 4*y + 2*y)*((-4 + 3 + 0)*(2 - 1 - 3) - 6 + 7 + 7).\nAnswer: 20*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6426?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 - (29 - (-1419)\/231).\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f - 256 = -263. Suppose -4*r = -12, -87 = -2*m - r - 30. Let y be (-2 - 0) + 60\/m. Which is greater: f or y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8014 + -2963. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2663 and -19498.\nAnswer: 51923174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -9*t**2 + 48*t + 6. Let h(a) = 27*a**2 - 136*a - 17. Let o(c) = -6*h(c) - 17*n(c). Let x(j) = j**2 - 4*j**2 - 7*j**2. Calculate o(x(l)).\nAnswer: -900*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8\/25 of a second?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p. Let t(w) = 5*w + 2 - 3 + 1. Determine d(t(o)).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 10 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-8) + 165\/(-60).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2538 - 66718?\nAnswer: -64170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9, -13, -9, 3, 23, 51?\n\"Answer: 4*p**2 - 16*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 17*t**2 - 17*t - 9. Let q be a(18). What is the common denominator of -53\/55 and (81\/(-40) - -2)\/(q\/297)?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 5*p - 96 = 0, h + p = -p + 24. Let a = -105 + 78. Let k = a - -39. Calculate the highest common factor of k and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1118 in 0.2, 1, 1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of -1\/60*x**5 - 2*x**2 + 0*x + 0 - 1\/120*x**6 + 0*x**3 + 0*x**4. Find the third derivative of r(l) wrt l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 65034 and 1626?\nAnswer: 17624214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, b: 1, a: 3, d: 1}. Give prob of picking 1 p and 1 d.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 148128, 148570, 149012, 149454?\n\"Answer: 442*y + 147686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 55401 and -3.\nAnswer: -166203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -559006, -558992, -558964, -558916, -558842?\n\"Answer: m**3 + m**2 + 4*m - 559012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 70766664 or 70766671?\nAnswer: 70766664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -420*r = -419*r + 508. Is r at most as big as -489?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 b when two letters picked without replacement from {l: 3, y: 1, b: 5, g: 6}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1429.5 - 1430. Which is the third smallest value? (a) 2 (b) g (c) -3 (d) 0.08 (e) 101\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(33)*-1 + sqrt(33) - sqrt(33))\/((sqrt(108) - ((sqrt(108) - (sqrt(108) - (sqrt(108) + sqrt(108)*3))) + sqrt(108) - sqrt(108))) + sqrt(108)).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -223, -464, -851, -1372, -2015, -2768, -3619?\nAnswer: -4556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/4173 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -8*u. Let v(t) = 27*t - 5. Give v(p(s)).\nAnswer: -216*s - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*c + 8 = -4*n + 139*c, c = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5967, -5958, -5949, -5940, -5931?\nAnswer: -5922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 115 and 115923565.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -104.58546 and -1?\nAnswer: 104.58546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -598.6205 times 0.3?\nAnswer: -179.58615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/385*1*(-770)\/550?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 110*j - 4 + 57 - 163. Which is the nearest to 1? (a) j (b) -783 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 11:28 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 211 and 1161133.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -54034.1 times -0.446\nAnswer: 24099.2086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2211744 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -17*y + 51. Calculate h(-3).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 8. Suppose -l*j = -j - 136. Suppose 5*f - 674 = -3*t, -f + 4*t + 65 = -56. Calculate the remainder when f is divided by j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.03276km to meters.\nAnswer: 19032.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34 - -18. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.462 + -1.538. Which is the third smallest value? (a) -0.3 (b) 1\/7 (c) k (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + p**2 + 2*p + 5. Let z be y(0). Suppose 7*g - 5*g = -u + 4, 0 = z*u + 3*g - 27. Let v(x) = x**3 - 5*x**2 - 8*x + 2. Calculate v(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((87 - 31) + -85).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.3, 1.206 in descending order.\nAnswer: 1.206, -0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40534*c + 81070*c - 40540*c - 6*c**2 - 2*c**2 - 27*c**2.\nAnswer: -35*c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*k - 20*k + 4 = 0. Suppose -3*a - 5*i = 10, 2*i = 5*a - 15 - 20. Suppose 58 = -5*r + 3*x - 4*x, a*r - 5*x = -70. Put 0, r, k, 2 in descending order.\nAnswer: 2, 0, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(539)*-1 - sqrt(539)) + -5 + sqrt(539) + 2)**2.\nAnswer: -294*sqrt(11) + 26420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n - 2 = 4*s - 3*n, 0 = 4*n - 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8026 + -8022. What is the second biggest value in 4\/665, u, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 + -22. Suppose t = -5*k + k. Suppose k = -h + 69 + 430. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1659851520.\nAnswer: 2, 3, 5, 313, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-4) + 8\/(-32). Let f = c - -4. Factor 0 + 1\/2*q - 1\/2*q**3 - 1\/2*q**f + 1\/2*q**2.\nAnswer: -q*(q - 1)*(q + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 80 = 6*m. Let d = 17 - 6. Calculate the remainder when m is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 366\/35 + -62\/7. Let i be (-2)\/1 + 2320\/3. Let u = i + -779. Calculate the common denominator of u and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**2 + 0*g**2 - 2*g**2)*(2*g**3 - 2*g**3 - g**3) + (4*g**3 - 3*g**3 - 2*g**3)*(312*g**2 + 131 - 131 + (4 + 1 - 4)*(-g**2 + 0*g + 0*g)).\nAnswer: -313*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000069498 to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*l - 18*l - 4*l**4 + 3*l**4 wrt l?\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 18347?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3*i = -16, -9 - 3 = -3*q + 2*i. Solve 0 = -q*k + 3*x - 1 + 6, 5*k - 4*x = 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -44*k. Suppose 0 = 5*m - 5*x + 105, -x + 0*x + 43 = -2*m. Let c = -10 - m. What is the remainder when p(-1) is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v. Let z(l) = -128 - 136 + 398 + 209*l + 446*l - 135. What is x(z(s))?\nAnswer: -1310*s + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 15 = o, 4*o - 29 = -9. Suppose -12 = -2*m - 2*y - 2*y, -m + s = 4*y. Suppose -24 = -0*q - m*q. Calculate the highest common factor of 132 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -250937548 by 62734387.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 7:22 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of q**4\/12 - q**3 + 2*q. Let z be s(6). Suppose z = b - 2*b + 5. Solve -2*n - 26 = b*j - j, 0 = j + 4 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z - 2. Let t be g(9). Is 66\/8 - ((-12)\/t - -1) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3773194?\nAnswer: 2, 227, 8311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*y = -3*j + 1036, -2*j + 5*y + 2057 = 0. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from irirreoora. What is prob of sequence re?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -589 - -1055. Let v = -466 + k. Which is bigger: 97 or v?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.04 - 2.44. Let i be 8\/12*(0 + 6). Which is the biggest value? (a) i (b) 0 (c) n (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus 4281956535148?\nAnswer: -4281956535147.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r - 11. Let o(i) = i + 25. Let l be o(-13). Let x be d(l). Is 23*((-1)\/(-1))\/x a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n + 1. Let o be -5*5\/(4 - 9) - 10. Suppose 3*p + 23 = 5*z, -z - 5*p - 13 = -3*z. Let x(g) = -4*g - g + z*g. Give o*x(a) - 2*y(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 4*n - n)*(n**3 - 5*n**2 + 5*n**2) - 2*n**4 + 0*n**4 + 3*n**4 + (4*n**2 - 4*n**2 - 3*n**2)*(-2*n**2 + 3*n**2 + 2*n**2).\nAnswer: -6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 5*w - 7. Let x(n) = -n**3 - 9*n**2 - 2*n - 16. Let z be x(-9). Let l be -12*1*z\/(-3). Suppose -l = -3*r + 10. Give k(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 5*s + 760 = 0. Let u = 1422 - s. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b - 84*b = 592 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 7 = a - 3, 5*a = 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103255.\nAnswer: 5, 107, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 82938130?\nAnswer: 663505040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -x + 3. Suppose -x*d = -6*d + 84. Suppose -152 + d = -4*y. Does 11 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 20*t. Let c(j) = 10*j. Determine c(w(g)).\nAnswer: 200*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -1, 0, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {u: 14, d: 4}.\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 212120 (base 3) in base 2?\nAnswer: 1001111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of z**6\/48 + 7*z**5\/4 - 369*z**4\/32 + 227*z**3\/12 + 73*z**2\/4 - 75*z + 1. Factor n(i).\nAnswer: (i - 2)**3*(i + 1)*(i + 75)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36 by -4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -165 - -167. Find the first derivative of 75 + 49*p**3 - h*p**2 - p - 13*p**3 + p wrt p.\nAnswer: 108*p**2 - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-28)*4 + 6\/126.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/4 - 165\/(-20). Let m be (18\/27)\/(2\/h). Suppose -2*t + m*t = 3. Sort t, 4, 2 in increasing order.\nAnswer: 2, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (194\/582)\/(1*1\/(-12)) - -6. Solve k*z = -52 + 60 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9866416 is divided by 74?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 2) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15228 + -10099. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 2. Suppose -4*b + 2*b + j = 0. Solve b*v = v - 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/6*(-120)\/(-100).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30475264 is divided by 870721?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 110 and 55.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1234865311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 59*q*s**3 + 44*q - 23*s**4 - 26 with respect to s.\nAnswer: 177*q*s**2 - 92*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*x + 202 = 2*x + 24 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17.73 + 0.27. Let t(v) = -v**3 - 3*v**2 + 36*v + 108. Let r be t(-3). Which is the third biggest value? (a) 5 (b) r (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u + 9*u - 7*u**3 - 20*u**3)*(-u**2 + 2*u**2 - 4*u**2).\nAnswer: 81*u**5 - 12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25 and (-115)\/10*1\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -7*x - 356. What is d(-51)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -51234 < -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vpa when three letters picked without replacement from {h: 4, v: 2, p: 2, q: 1, a: 5}?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**3*g**3*w**2 - 340*b**3*g**3 + 6*b**3*g*w**2 + 4*b**2*g**2 + b*g**2*w**2 - 2*b*g**2*w wrt g?\nAnswer: -6*b**3*w**2 - 2040*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-10)\/(-8)*1\/2?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4*z. Determine r(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1644 is divided by 206.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 691, 268, -155, -578?\nAnswer: -1001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, h: 1, k: 2, o: 2, j: 1}. Give prob of picking 2 l and 1 j.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2946 = -2*u - u, -4*f - 5*u - 3923 = 0. Suppose v - 5*v = 5*l + 104, 4*v = -4*l - 84. Calculate the common denominator of 52\/7 and f\/(-135) + 4\/l.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3804 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 3*c + y, 33*y - 32*y = -5*c - 5 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-70)\/3)\/2*(-135 - -132) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -76*y**2 + 152459956*y - 8024208.\nAnswer: -4*(y - 2006052)*(19*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4*r + 787. Let i(g) = 7*g + 1579. Give 6*i(d) - 11*s(d).\nAnswer: -2*d + 817","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 24, 58, 92, 126, 160?\n\"Answer: 34*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4c (base 13) in base 10?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*h*k*n*v**3 + 3*h*k*v**3 - 2*h*k*v**2 + 83*h*k - 2*h*n + h + 32*k*n*v**3 wrt n.\nAnswer: 2*h*k*v**3 - 2*h + 32*k*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -i + 5*q, 3*q = 4*i + 2*q - 22. Suppose -i*c + 24 = 7*c. What is the third derivative of -10*k**2 - k**2 - 3*k**5 - k**2 - 5*k**c wrt k?\nAnswer: -180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 529 + -518. Suppose -8*m + y*m + 6 = 0. Sort 0.09, 3\/4, -5, m in increasing order.\nAnswer: -5, m, 0.09, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 14973 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56688 - -56687. Let g = -3 - -2.5. Which is the biggest value? (a) g (b) -2\/39 (c) u (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-3))**(4\/11))**(-2\/9))**(2\/23) assuming l is positive.\nAnswer: l**(32\/2277)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5775 * 0.3\nAnswer: 1732.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*f - 29 = 2*c, 4*c + 4*f - 20 = 0. Suppose c*h - 2 = 8*h. Let -j**2 + 1 - j**2 + j**4 + 5*j**2 - 5*j**h = 0. What is j?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1710258 divided by 25913\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-45*255\/459.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4652368 and 1904.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 4*m + 28, -2*m - 4 = -m. Let z = 0.7 - 0.2. Which is the third smallest value? (a) n (b) z (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111 - -32?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -m**4\/84 - 3*m**3\/7 - 81*m**2\/14 + 90*m. Determine o so that d(o) = 0.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1\/3)*l\/((l*l**(-6))\/l*l)*l*l**(-4\/3)*l**(-5\/6))\/((l\/(l*l**0*l*l))**(-2\/35)*l\/((l**(-4)*l)\/l)*l**5\/l*l) assuming l is positive.\nAnswer: l**(-323\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 9:57 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -170. Suppose 10*j + 274 = -676. Let b = v + j. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 10*z + 134. Let k be v(-9). What is the highest common divisor of 748 and k?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z**2 + 67*z - 76. Let m be l(21). Sort -4, 0, m, -6.\nAnswer: -6, -4, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -2*o, -2*k = -6*k - 5*o - 13 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-12) - (-16444)\/12333\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 720*k**2 - 1458*k + 729. Let l(y) = y**3 - 1444*y**2 + 2915*y - 1457. Let f(t) = -5*j(t) - 3*l(t). Let f(a) = 0. Calculate a.\nAnswer: 1, 242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 244717, 244956, 245205, 245470, 245757, 246072, 246421, 246810?\nAnswer: 247245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*f + 11. Let q = 26 + -2. Suppose 0*x - 2*x + q = 0. Solve 5*g - g - x = f for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3129, 6285, 9441, 12597, 15753, 18909?\nAnswer: 22065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 3*h**2 - 2*h - 4. Let d be u(-3). Let b = 0 - -2. Factor -4 + 0*k**d + 2 + b*k**2.\nAnswer: 2*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 844873 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8187, -8189, -8201, -8229, -8279, -8357, -8469?\n\"Answer: -o**3 + o**2 + 2*o - 8189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -87235577*h**2 + 43248470*h wrt h?\nAnswer: -174471154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 112.9 + -107. Let v = 5.89999789 - o. What is v rounded to 7 dps?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 12244, 12261, 12312, 12415, 12588, 12849?\n\"Answer: 3*l**3 - l**2 - l + 12243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 13846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5361 + 3005. Let a = k - -23679\/10. Let f = 583 - 9309\/16. Calculate the common denominator of a and f.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 263805 + 263809 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 5*n - 497, -4*n = -5*f - 158 - 215. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-59)\/((-118)\/30)*(-84)\/350.\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 897470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2168, 25164, 63490, 117146, 186132, 270448, 370094?\nAnswer: 485070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 26 + -1 + -2 - (-1433 + 1424)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*i - i**2 - 7*i)*(99 + 1947*i**3 + 1409*i**3 - 99).\nAnswer: -3356*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31 and 1674.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*u**5 + u**5 + 7*u**5 - 15*u**3 - 4*u**5 + 15*u**3 + (-10 + 3*u**4 + 10)*(0 + 0 + 2*u).\nAnswer: 21*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1331730168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h**3 - h**2 + 3. Let l(f) be the first derivative of -2\/3*f**3 + 5*f + 35 + 9\/4*f**4 - 1\/2*f**2. Give 5*a(j) - 3*l(j).\nAnswer: -2*j**3 + j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -12639111 less than 862334.5?\nAnswer: 13501445.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, 316, -3, 69, -2\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -92 + 87. Let y = -4 + 3.8. Which is the closest to 0? (a) x (b) 8 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -r**5\/20 - 11*r**4\/12 - 17*r**3\/6 - 9*r**2 - 4*r - 4. Is x(-11) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 35461*x**2. Let z(h) = -259*h - 1. Calculate z(y(p)).\nAnswer: -9184399*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f - 13 = 11*f - 4*y, -4*f - 89 = 3*y - 91 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 1\/4*y**2 - 1\/6*y**3 + 0*y + 5. Factor f(k).\nAnswer: -k*(k - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, 11733\/8, -4, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16*c**3*q + 235*c**3 + 6*c*q - 4*q wrt q?\nAnswer: -16*c**3 + 6*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*2)\/(((-10)\/5)\/2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 310*w - 86*w - 98*w - 102*w.\nAnswer: 24*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 + 46. Solve -2*j + 9*l - 4*l = -c, 3*j - 2*l + 5 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 51996 + 5?\nAnswer: 52001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256 = -5*z - 2*j, 5*z = -41*j + 29*j + 11*j - 258 for z.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8691*b**3 + 4339*b**3 + 4346*b**3.\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3357774660 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 55614 divided by 3?\nAnswer: 18538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -6 (b) -0.3 (c) 1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 19*l**2 + 75*l - 1079. Calculate x(20).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 333140?\nAnswer: 2, 5, 16657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -31*t**3 + 14*t**2 + 29*t + 200. List the prime factors of i(-9).\nAnswer: 2, 11, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 21*y**2 - 24. Let k(b) = 1. Determine -120*k(a) - 5*m(a).\nAnswer: -105*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 21*o**2 - 9*o + 15. What is the tens digit of a(-23)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-308)\/(-6) - 26\/(-39). What is the highest common divisor of s and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 2 - 2)*(-2 - 2 + 5)*(1 + 2 - 5).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -163\/2799 + -51\/311. Is k bigger than -1094?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -15 (b) 2 (c) -0.04 (d) -0.4 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3332 and 0.002349.\nAnswer: 7.826868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 21, 31, 41, 51?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -13*d**4\/24 + d**3\/3 - d**2 - 17. Let w(p) = -p + 1. What is u(o) - 2*w(o)?\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 23045\/(-22) - 1\/(-2). Let y = f + 1536. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p + 60*p - 682 = 114*p for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-100 + 17)*(-7)\/(-35) - -13)\/((-128)\/(-80))\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*z + 2*r, -3*z + 6 = -13*r + 10*r. Suppose -a = 2*x + a - 9914, 24765 = 5*x - z*a. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 397024 and 356896.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = l + 10. Solve -5*n - 3*c + 15 = 0, 3*c - l*c = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12792098 to the nearest integer?\nAnswer: 3577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-24)\/16*112\/(-6). What is the third derivative of 5*b**3 + k + 11*b**2 - 28 wrt b?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (-2*sqrt(21))\/sqrt(7))**2 - (0 + sqrt(108)).\nAnswer: -6*sqrt(3) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 22*x**2 - 48*x - 299. Is z(-24) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1013240 (base 6) in base 4?\nAnswer: -23320320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -353*s + 43770. Give a(124).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**3 + f**4 + f**3 + (-6*f**2 + f**2 + 19*f**2)*(-f**2 + 5 - 5).\nAnswer: -13*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -63 - -113?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6450635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -118153, 5, -24\/5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9618, -19105, -28592, -38079, -47566?\nAnswer: -57053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/8 of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5674507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1985 + -17897\/9. Find the common denominator of y and -75\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 174 - -128?\nAnswer: 2a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**5 - 21*x**4 - 2034*x**3 - 1716*x**2 + 19608*x - 15840 = 0 for x.\nAnswer: -22, -4, 1, 2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1003 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -8*h - 7. Let b(w) = -8*w - 6. Let y(v) = -2*b(v) + 3*g(v). Let x(l) = l + 1. Let t be x(-4). Is 15 a factor of y(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -69*k**3 - 43*k**2 + 3. Let m(y) = 70*y**3 + 43*y**2 - 4. Let j(n) = 3*m(n) + 4*u(n). Find the third derivative of j(a) wrt a.\nAnswer: -396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299)*4*5 + 2 + 2)**2.\nAnswer: 1760*sqrt(19) + 919616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 10 + 43 = 0. Calculate the remainder when w is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**4 - 58*w**3\/3 - 5006*w**2\/3 - 8114*w - 2520 = 0.\nAnswer: -21, -5, -1\/3, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3 = -2. Let i be 6\/(-4)*(3 + -1). Let u = m - i. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/6130 and 137\/6570?\nAnswer: 4027410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + (-24)\/15 - 232\/(-145). Solve -10*w = -15*w + r*h - 21, w - 2*h + 9 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(420) + 1*sqrt(420))\/sqrt(7))\/(sqrt(108)*1*6) + -4.\nAnswer: -4 + sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -w**4\/14 - 4*w**3\/21 + 8*w**2\/7 + 56. Find y such that f(y) = 0.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**4 + 3*c**4 - 4*c**4 + (-3 - 2 + 0)*(3*c**4 - 12*c**2 + 12*c**2) to s*c + d*c**3 + i*c**4 + h + u*c**2 and give i.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -461 - -11?\nAnswer: -450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3629714 is divided by 390?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -181\nAnswer: 36.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -92, -364, -818, -1454?\n\"Answer: -91*c**2 + c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -85 + 81.2. Is s < -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(425) - (sqrt(425) + -2)**2) + (sqrt(68) - ((sqrt(68)*2 - sqrt(68)) + 5 - sqrt(68)) - ((sqrt(68) - (0 + sqrt(68) - sqrt(68))) + -1))**2.\nAnswer: -413 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 15, 2, -1 in descending order.\nAnswer: 15, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1*sqrt(99) + sqrt(99)) + sqrt(99) - sqrt(99))\/(sqrt(54)\/sqrt(294)).\nAnswer: 56*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(384) - sqrt(384)*3) + (sqrt(24) + sqrt(120)\/(sqrt(10)\/sqrt(2)) - sqrt(24)))\/(sqrt(1152) + sqrt(1152)*-1*1 - -6*sqrt(1152)*1).\nAnswer: -35*sqrt(3)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.047 + 22.953. Let l = 24 - r. What is the second smallest value in -4, 0.19, l?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 574795547 and 4187.\nAnswer: 4187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide (-42)\/14 - 29973\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -109 + 134. Solve 5*j - 20 = -f for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**2 - 140*d - 2355. Give w(-37).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.02004 + 0.02004. What is the third biggest value in 125, p, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5698 is divided by 228?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 139*m**3 - 3*m - 222. Let q(g) = 447 + 102*g + 100*g - 113*g**3 - 197*g - 166*g**3. Let x(y) = -3*q(y) - 5*r(y). Differentiate x(l) wrt l.\nAnswer: 426*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 15*i**3 - 4*i**2 + 12*i - 14. What is the remainder when r(2) is divided by 61?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/7 - 44*p**2\/7 - 94*p\/7 + 380\/7.\nAnswer: -2*(p - 2)*(p + 5)*(p + 19)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + -1 - (3 + -3). Solve -v = p*v + 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*o + 6*o**4 - 4*o**4 + 10 - 1 as a*o**3 + x*o**2 + u*o**4 + w*o + p and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -247 (base 13) in base 12?\nAnswer: -291","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*c - 74*c + 2519 - 439 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8129 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 7 = 392*i - 395*i, -2*q - 6 = -2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 9*n + m - 503, 0 = -5*n + 4*m + 810. Is 31 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 457*m - 461*m + 18, -u = -4*m - 38. Let z = -327 + 547. What is the remainder when z is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -10 (b) 5 (c) -2 (d) -5.79 (e) -5 (f) 2\/17 (g) -57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40665387.\nAnswer: 3, 7, 47, 41201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of 2\/3*w**3 + 0*w + 0 + 131*w**2 - 1\/120*w**6 + 1\/30*w**5 + 1\/24*w**4. What is r(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -55119, -55103, -55079, -55047?\n\"Answer: 4*z**2 + 4*z - 55127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*o = 17*o - 274. Let v(i) be the third derivative of 5\/8*i**4 + 0*i + 17\/6*i**3 + 0 + 20*i**o. What is the first derivative of v(d) wrt d?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 15*f**2 - 148*f - 2643. Calculate n(-17).\nAnswer: 451","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 4:53 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3459 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + (6\/(-9) - 503\/(-3)). Let x = -131 + w. Calculate the greatest common factor of x and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 39 = c + 7*h - 7*h, 8*c = 13*c - 4*c + 108*h + 2051 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 844966.\nAnswer: 2, 47, 89, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -138*s - 10. Is j(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*l = -0*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.016947926201 to 7 dps.\nAnswer: -0.0169479","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*c - 3*w + 7, 0 = 2*w + 10. Calculate the greatest common factor of c and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2997a (base 16) in base 4?\nAnswer: 221211322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 73879 and 182.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*c + 764 = -476, -2*h + 2*c + 2512 = 0. Does 70 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*d - 2342 + 1774 - 2594 = 0. Calculate the greatest common divisor of d and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 k, and 1 h when three letters picked without replacement from {r: 1, n: 5, h: 1, x: 3, k: 4}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219*y - 4*y**2 + 436*y - 217*y.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -22215 divided by -15\nAnswer: 1481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 + 8*p + 140.\nAnswer: -4*(p - 7)*(p + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -2\/971 (c) -7 (d) 0.3 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 3*o - 7*o = -58, 10*u + 11 = 5*o + 29 - 228 for u.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10 + -6 + ((-652)\/92 - -5) and 39\/5.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01182127 to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-6))\/((-1)\/(-18)). Is 59\/((-3)\/i*-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 124 - 63?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 8 = -a + 2*n, -2*n = a + 12. Is 11 a factor of (-1)\/5 - ((-7620)\/(-25))\/a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**3*g**2 - 5*b**3*g + 21*b**3 - 12*b**2*g**2 - 7*b*g**2 + 4*b*g + 2*b wrt g?\nAnswer: 2*b**3 - 24*b**2 - 14*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2217946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 - 3*o + 1. Let j(h) = -12*h**2 + 327*h - 5. Determine -j(b) - 7*u(b).\nAnswer: -2*b**2 - 306*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 12. Let i(h) = -h**2 + 3*h + 2. Let v be i(3). Let b(s) = 6*s + s**2 - 2 - 1 - 2*s**v. Give b(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20606513 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 149 + -26. Let g be 3\/12 - n\/12. List the prime factors of (20424\/345)\/(6\/g - -1).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 = -3*d + 4*k, -81 = -4633*d + 4636*d - 2*k for d.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -66*(616\/726 - 14\/77)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54\/13 + -4. Let n = -12\/23 + 206\/483. Which is the nearest to -1? (a) -9 (b) n (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((4*sqrt(475))**2 + (2*sqrt(38))\/sqrt(2) - ((sqrt(228) - sqrt(228)*1)\/sqrt(12) + -1 + sqrt(19) + -2 + sqrt(19))**2).\nAnswer: 14*sqrt(19) + 7516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.9, 2, -5, 2\/11 in descending order.\nAnswer: 2, 0.9, 2\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11288\/3 - 3823. Let z = m - -60. Suppose 3*a = -7 + 4. Sort a, 4, z.\nAnswer: a, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a kilometer in meters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 2:56 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 34644 + -1417?\nAnswer: 33227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (149435\/114)\/55*(-2)\/(-26)?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -101001 (base 4) to base 8\nAnswer: -2101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 2396331?\nAnswer: -8\/2396331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) 2\/21 (b) -1 (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -7*j - 3*j + 0*j. Let b(a) = -5*a. Calculate v(b(s)).\nAnswer: 50*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*w**3 - 56*w**2 + 1922 - 965 + 56*w**2 - 941.\nAnswer: 36*w**3 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -1. Let n be (-12)\/54 + (-31)\/(-18). Let s = n + -13\/6. What is the second smallest value in h, s, -0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 t when three letters picked without replacement from {t: 2, s: 2, y: 6, z: 1}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 + -70. Let x(u) = 4*u**3 + 2*u**2 - 2*u. Let w be x(-2). Let v = w - k. Is v a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f = -6*f + 77427. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (32 + -6 + 24)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 108, 328, 644, 1050, 1540, 2108, 2748?\nAnswer: 3454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1625 + 1625 - 1907*l**2 - 7121*l**2.\nAnswer: -9028*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55753.\nAnswer: 127, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 30, -2, 49.\nAnswer: -2, 1, 2, 30, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1364843 + -0.12\nAnswer: 1364842.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a - 9. Let l be v(-6). Suppose -63 = 5*u - 2*j + 2, 5*j + 30 = -5*u. Let z = u + l. Solve 5 + 15 = -z*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/7)\/c)\/c)\/(c**1*c)*((c**(2\/17)*c)\/c)\/(c**(-7)*c*c)*(c**(-2\/9)\/c**(-8))\/(c*c*c**(2\/23)*c*c**(-1\/11)) assuming c is positive.\nAnswer: c**(1637222\/270963)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 5 + 0)*(-3*m + 5*m + 0*m)*(-7 + 4 + 11) as k*m + c and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q\/(q\/q**(-6))))\/q**(-5)*(q**(-1\/3))**(3\/7) assuming q is positive.\nAnswer: q**(76\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17234131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8127 and 1539398.\nAnswer: 1787241078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -110415454 and -1249.\nAnswer: -110416703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 197052*l**2 + 3. Let t(q) = -12*q. Calculate t(w(c)).\nAnswer: -2364624*c**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12.8 + -13. Which is the closest to 0? (a) -0.1 (b) o (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2.3 (b) 1 (c) 4\/5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - f - 5979 = 0. Let w = f - 95741\/16. What is the common denominator of (170\/16)\/(5 - 7) and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -88 - -92. Suppose 6*z + q*f = 112, 3*f - 21 = 2*z - 80. What is the lowest common multiple of z and (-2)\/(-7) - 384\/(-28)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2011*w + 35. Suppose 20*k = -79 - 101. Is g(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 23275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/4, 1.4, -4, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*s - 9*s + 2. Find the common denominator of 31\/2 and 6\/12*(-43)\/s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k**2 + 161*k - 94. Is 140 a factor of r(62)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.6 + 7.6. Let w = 10.97 - l. Let g = w - -0.03. Which is the biggest value? (a) -5 (b) g (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 7:15 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 0*k + 0*k)*(-4*k + 7*k**2 + 6*k - 3*k - 2*k**3).\nAnswer: -6*k**4 + 21*k**3 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 36 = 4*d - 142, 5*d - 3*v - 209 = 0. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5 = -4*r + 2, 3*r - 6 = -c. Put 5, -2, 0, c in increasing order.\nAnswer: -2, 0, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -154 = -151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g - 3. Suppose 0*u - 4 = -2*u, -5*c - 2*u + 29 = 0. What is a(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 79, -2\/3, 3\/2, 0.2, -0.5 in decreasing order.\nAnswer: 79, 17, 3\/2, 0.2, -0.5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 668 is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12 - (-260)\/(-22) - 22414\/(-22). Let x = r + -754. Is x less than or equal to 265?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -o**2 + 5. Let w(n) = 35*n**2. Determine w(u(g)).\nAnswer: 140*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of w**4\/24 + 329*w**2. Let b(q) = -261*q - 81. Let t(g) = 13*g + 4. Let y(i) = -4*b(i) - 81*t(i). What is y(k(j))?\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, -4, -26, -60, -106, -164, -234?\nAnswer: -316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 2. Let p = -89 - -91. Solve p*a - z*q = -0 - 4, 3*q + 6 = -a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-10) - 336\/10. Let l = -796\/3 - -263. Find the common denominator of (-2)\/4*o\/11 and l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1538234 + 4965419413\/3228. What is the common denominator of b and -76\/3?\nAnswer: 3228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 take away 321648678764?\nAnswer: -321648678619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 29295378 to the power of 1\/3, to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of 3863*f**4\/12 - 738*f**3 + f**2 - 562*f. What is the first derivative of b(r) wrt r?\nAnswer: 7726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*p + 2750*p + 2358*p - 859*p - 39*p**2 + 38*p**2 to the form l + d*p + n*p**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.611312 millennia to decades.\nAnswer: 961.1312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -252*d**2 + 461*d**2 - 97*d**3 - 209*d**2.\nAnswer: -97*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 44\/231*(-14)\/(-12). Sort j, 3, 0.3, -2 in descending order.\nAnswer: 3, 0.3, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-153)\/27 - -4)\/(2\/(-2052)).\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -334897, -334898, -334901, -334906, -334913, -334922, -334933?\nAnswer: -334946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*i - 5*r + 10 = -64*i - 55*i, 4*r - 8 = -2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.5501 - -1.0501. Which is the smallest value? (a) 1 (b) -0.0309 (c) 0 (d) -0.1 (e) v\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (92\/(-18) - 2)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-9) + 145\/(-45). Let g be ((-2)\/(-30))\/(1\/u). Which is the biggest value? (a) g (b) -1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(15\/3))\/((-10)\/((-140)\/(-63)))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 149228897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 385 = -22*w + 67*w + 10*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 - -24.917. Let v = 0.033 + t. Let d be (-5)\/(-30) + 2*(-6)\/8. What is the second biggest value in d, -0.1, 3\/4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*d**4 - 159*d**2*u - 897*d*u wrt d?\nAnswer: -48*d**2 - 318*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1123 divided by 1?\nAnswer: -1123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/12*(-21)\/(-7)*10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -27848 and -1105.\nAnswer: -28953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1412 + 0?\nAnswer: -1412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-69)\/(-5796)*-273*(-16)\/(1\/(-1)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -25*l**5 + 6*l**4 + 6*l**3 + l. Let c(d) = -d**5 - d**4 - d**3 + d. Let h(k) = -6*c(k) - g(k). Find the second derivative of h(a) wrt a.\nAnswer: 620*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 + 16. Let i(q) = -q**2 - 18*q + 5. Let v be i(j). Let y = v + 62. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*5\/(-27))\/(10\/(-180)*-6).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (418\/(-33))\/(2\/3). Let l = -4 - x. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8526 and 18816.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -357b5782?\nAnswer: 357b5786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 77\/102 + -2509\/306. What is the common denominator of -59\/189 and l?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31*j*t - 219*j - 2*t**2 wrt t.\nAnswer: 31*j - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 10 - j**2 - 3*j**3 - 11*j + 1\/2*j**4. Let m be x(5). Solve 4*z - m + 16 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - ((-84)\/(-32) + -2)\/((-1)\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 4 - 5)*(t + 0*t - 2*t) + (-2*t + 1 - 1)*(-1 + 1 + 1) - t + t + 4*t.\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*20\/(-350)*10\/(-42)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - 17 - (-96 + 71)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.279 - -0.521. Is y less than -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2413 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 128559*m**5 - 20*m**2 - 107636069*m wrt m?\nAnswer: 2571180*m**3 - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k - 4*m + 51, 4*m = 31 + 17 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 4:15 PM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/12 - 5\/6. What is the second biggest value in 2\/9, 5, -4, n?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11349*p - 11361*p = -112536. List the prime factors of p.\nAnswer: 2, 3, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1624*w**5 + 6626*w**4 + 4622626*w?\nAnswer: -32480*w**3 + 79512*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 582246.1 weeks?\nAnswer: 5869040688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 278961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10419.\nAnswer: 3, 23, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h**(20\/11)\/h)\/h*h)\/h*h*h**(-21)\/h assuming h is positive.\nAnswer: h**(-222\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0183 in -11.4, -1\/5, -14, 0.02, 4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 737689 and 251?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(180))\/sqrt(10))\/(sqrt(36)\/sqrt(4)*-6) + 4*sqrt(2)*-4 + sqrt(2) + sqrt(8) + 4 + sqrt(2))**2.\nAnswer: -284*sqrt(2)\/3 + 5329\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -136, -147, -160, -175, -192?\nAnswer: -211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2074.999999484 - -2075. Round x to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -43*r - 1. Let w(o) = -2*o**2 + 3*o**2 - 2*o**2 - o**2. Calculate b(w(f)).\nAnswer: 86*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v - 7. Let p be c(-6). Let b(g) = g**3 - 4*g**2 - g + 3. Is b(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 16, 2\/5, 3\/4, 1\/13 in increasing order.\nAnswer: -2, 1\/13, 2\/5, 3\/4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 8, g: 2, k: 2}. Give prob of picking 1 g, 1 c, and 2 k.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/9)*l**(-2\/5)\/l)\/((l**(7\/5)\/l)\/l**(5\/6)) assuming l is positive.\nAnswer: l**(-107\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 45*f. Let u(w) = 34*w. Let s(a) = 8*u(a) - 6*z(a). Let m(n) = -961*n. Give m(s(o)).\nAnswer: -1922*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 518 + -513. Which is the fourth biggest value? (a) -61\/3 (b) -3\/4 (c) -2\/17 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -30*v**2 + 5*v + 5. Give l(-1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5363341?\nAnswer: 31, 5581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -5*k + 4. What is z(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**4\/5 + 1788*r**3\/5 + 344954*r**2\/5 + 684552*r\/5 + 341384\/5 = 0.\nAnswer: -614, -278, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 17. Suppose -3*k = u - 20. Suppose 4*m - 1504 = -4*l, k*m = -4*l + 762 + 752. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + s + 2*s)*(-2*s + 4 - 4)*(3 + 3 - 3)*(-6 - 9 - 7).\nAnswer: -264*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1407655380?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -143, 4, -3, 53, 1, -1 in descending order.\nAnswer: 53, 4, 1, -1, -3, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.4 + -10.4. What is the nearest to w in 4, -0.25, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-33*q + 18*q + 125*q + (5*q + 0*q - 4*q)*(-5 + 1 + 3))*(-2 - 1 - 1) as f + m*q and give m.\nAnswer: -436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j - 14*j - t + 12 = 0, 5*j - 4*t = 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 0*l = 4*l - 2, h + 5*l = -8. Let p(n) = -n + 2. Let k be p(h). Solve k = -r + 4 - 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 12*o**2 - 19*o + 12. Let l be b(-10). Suppose -4*p + 448 = -5*h, l*p - 347 = 3*h - 121. Is p a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -100*m**4 - 160*m**3 + 52*m**2 + 160*m + 48 = 0.\nAnswer: -6\/5, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -330*b = -332*b - 66, -d - 2*b - 68 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w - 2. Let b be t(4). Let l be (10 - 1)*(b + -1). Let l*x**4 - 5*x**2 + 1 - 6*x**4 - x**2 + 2 = 0. Calculate x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a millennium in months?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-5 - 878\/(-176)). Let p = h - 144. Does 5 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 e, and 1 o when four letters picked without replacement from eeoiiooe.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(20\/7)*y*y**(1\/29))**(-13\/4) assuming y is positive.\nAnswer: y**(-3887\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*o - 5*y, o - 17 = 2*y + 7. Calculate the greatest common divisor of o and 1162.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*d**2 - 1698 + 842 + d**4 + 0*d + 0*d + 849 in the form p*d + c*d**3 + o*d**4 + t + r*d**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/8)\/((2\/(-32))\/((-280)\/(-224)))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/((1 - 7)\/6). Put 0.056, m, 5 in decreasing order.\nAnswer: 5, 0.056, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 + -17. Suppose -5*g - 2*b = -w + 47, b - 10 = 2*g. Let s = g + 9. Solve -s*o - 4 = o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-1)*(-900)\/90\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**3 - 5*h**2 - h + 9. Let p be d(-5). Suppose 4*n + 26 = 5*x - p, -143 = -4*x + n. List the prime factors of x.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42107, 84080, 125935, 167672?\nAnswer: 209291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-52))\/((-3)\/(-2)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-39)\/(-6) - 2\/4. Let h be (-56)\/(-3) - (-2)\/r. Solve -3*y - h = -2*l - 0*l, -12 = 4*l + 4*y for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 40*u**3 + u**2 - u + 1. Let s(y) = y**3 + 8*y**2 + 7*y + 2. Let w be s(-7). What is the remainder when f(1) is divided by 2 - w - 1*-11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 12:58 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 223*f - 2910. Determine n(13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3215*n**2 + 6405*n**2 - 3188*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h**2 + 66*h + 239. Calculate m(-13).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -198*n**2 - 41*n**6 - 21*n - 199*n**2 + 3*n**6 + 0*n**4 + n**4 + 392*n**2 wrt n?\nAnswer: -4560*n**3 + 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13322 (base 4) in base 16?\nAnswer: 1fa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.8? (a) -6 (b) -487 (c) 4 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1424 (b) 22.5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-274)\/3425)\/((-2)\/30) - 12\/15. Factor -24\/5 + 16\/5*k - r*k**2.\nAnswer: -2*(k - 6)*(k - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 10, 6, 0.4, 0.1, 2\/11?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 542949 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -85093, -170196, -255299, -340402?\n\"Answer: -85103*x + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 2\/381 (b) -9 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 13700.36 years?\nAnswer: 1370.036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -286685\/79 or -3628?\nAnswer: -286685\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/627? (a) 1 (b) -3\/7 (c) -16\/7 (d) 3\/5 (e) 53 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.134 - -29.366. Let i = j + -29. Let g = 13 + -11. Sort g, -3, i.\nAnswer: -3, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5364553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5524645310 rounded to the nearest one million?\nAnswer: 5525000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -2*t - 34, 0 = -3*p - 5*t - 35 + 6. Let w = -4 - p. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 1. Suppose -z*s - 4*n = -47, 0*s - n = 2*s - 17. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13486200 by -76.\nAnswer: 177450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.3, -174, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3861817 and -133.\nAnswer: 3861684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d\/d**(4\/7)*d*d*d*d*d))\/(d*d*d\/(d\/d**4)))\/(d*d**(2\/27)*d*d**(-11)\/d) assuming d is positive.\nAnswer: d**(-284\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -164, 3361, 6886, 10411?\nAnswer: 13936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -4*a + 18*a. What is the third derivative of -62*k**2 + 6*k**4 + 7*k**4 - 2*k**5 - 4*k + a*k wrt k?\nAnswer: -120*k**2 + 312*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -32814, -65316, -97502, -129372, -160926?\n\"Answer: 158*a**2 - 32976*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**2 - 4135*a + 155720. Give o(37).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1071 = -14*s - 7. Let g(a) = 3*a + 8. Let y be g(-28). Which is bigger: y or s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -515 by -3.\nAnswer: 515\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(3*((-152)\/312)\/19)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 - 30 = 4*j, -3*i = -3*j + 27 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3154 (base 7) to base 9.\nAnswer: 1471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 23204 divided by -20\nAnswer: -5801\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2879.\nAnswer: 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -10*b + 94. Calculate p(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 624946*b**2. Let p(t) = 32*t. What is f(p(s))?\nAnswer: 639944704*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 37 - 45*a**3.\nAnswer: -45*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 176989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 3:34 AM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 887*n - 440*n - 443*n - 6 = -f, 2*n + 4*f = 2*f for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 0. Let o = g + 5. Suppose 0 = q + q + o*b + 8, -4 = 4*q + 4*b. Do -2 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22333833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2071 (b) 3\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006117646 rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*j = -43, -5*s - j = -6*j + 55. Let i = 0 - s. Let w be 0\/(-2) + 234\/6. Calculate the greatest common factor of i and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 794352?\nAnswer: 2, 3, 13, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1023 and 5544319?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -4*v**3 + 12*v + 8 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1045, 4130, 9247, 16396?\n\"Answer: 1016*n**2 + 37*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -5*d + 10, 2*d + 5 = 4*c - d. What is the smallest value in c, -5, 3, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 7*h - 12. Calculate p(10).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4 = 11, -5*l + a - 30 = 0. Let c be (-1)\/7 + (-192)\/28. Which is smaller: l or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1646989 is divided by 3375?\nAnswer: 3364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-18)\/(-8) + 3\/(-12). Suppose 38 = 3*d - v*i - 14, -4*d + 54 = 5*i. Find the second derivative of -32*u + d*u - 10*u**2 + 14*u wrt u.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 76475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 3 - ((-4 - 4) + (-76 - -49))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*p = 48*p - 3978. What is the biggest value in -1\/2, 0.3, p, -1\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/4*(-14)\/(-3). Let w = s - -4. Sort 1, w, -1 in increasing order.\nAnswer: w, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, y: 1, z: 2, u: 1, j: 1, a: 1}. What is prob of picking 1 r and 1 a?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/19800 and -17\/174240.\nAnswer: 871200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -241 - -236.05. Let r = w + -0.05. Let b = r - -3. Is 1\/4 at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, w: 9, k: 1, t: 1, v: 4}. What is prob of sequence vw?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87451903?\nAnswer: 7, 11, 223, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52888.2ml to litres.\nAnswer: 52.8882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 7*y**3 - y**2 - 3*y + 6. Let x be d(0). What is the highest common factor of x and 300?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -3*l + 2*l - 5*p, 2*p = l + 30. Let q = l + 34. Factor -20*f**3 + 10*f**2 - 3*f**4 - 8*f - 8*f - f**4 - 42*f**q.\nAnswer: -4*f*(f + 1)*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -1ba?\nAnswer: 1ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.53 + 0.23. Let u = -86 + 84. Is u > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 0*h - h)*(-3 + 1 + 4) - 12*h - 6*h + 9*h.\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80608 by 88.\nAnswer: -916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 - 8 = -11*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1799619 less than 19795802\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -309*n**3*q**2 - 4*n**3 + 22*n**2*q**2 - 11*n*q + 45*q**2 wrt n.\nAnswer: -1854*q**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of m**6\/120 - 7*m**5\/60 + m**4\/12 - 17*m**3\/6 + 26*m**2 + 35. Determine y(6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 6*u - 7. Let j be n(7). Suppose 2*d - 3*z + 0*z + 27 = j, 4*z - 38 = 3*d. Which is smaller: -3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14028*y**4 - 182*y**5 + 14028*y**4)*(-1 - 3 + 3) + 13*y**2 - 8*y**5 - 13*y**2.\nAnswer: 174*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*a - 15 = 69*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + (-15)\/(-2))*-2. Let p(h) = h**2 + 8*h + 3. Let j be p(t). Solve 2*c = 6*c + j for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/2 (b) -1 (c) -19 (d) -770019\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 9. What is the units digit of -3*a\/10*-6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -7*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccmgqmmmcyygq. What is prob of picking 2 c and 1 y?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 6 + 58 = -4*h, -3*p = -5*h - 52. Let z(d) = -d**2 - 24*d - 135. Let v be z(-8). Which is greater: h or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 32*x - 15*x**2 + 4*x**2 + 10*x**2 + 3 + 12*x**2. Calculate d(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23.1 + 22.7. What is the closest to 0.1 in 0.1, -4\/11, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 1265*j. Let h(w) = 7435*w + 7432*w - 14866*w. Give h(p(g)).\nAnswer: 1265*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/12733, -4\/7, 1693, 4, -0.08 in increasing order.\nAnswer: -4\/7, -0.08, 2\/12733, 4, 1693","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.3*-41.\nAnswer: -94.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -1\/4, -6.3, 4, 3.9 in descending order.\nAnswer: 4, 3.9, -1\/4, -6.3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48be3b (base 15) to base 8.\nAnswer: 15222317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 6 - 2 + 2 - 1 + 1 + (-5 + 2 + 4)*(-1 - 3 + 3))*(-3*v**2 - 5*v**2 + 143*v**2) in the form h + t*v**2 + u*v and give t.\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7\/3 (b) -1 (c) 1 (d) -2\/11 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 680528088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**2 + 2*y + 1. Let o(u) = -1. Suppose -3*m + 15 = 2*m. Suppose 0 = 4*h - m*i - 5, i - 7 = h + 3*i. Determine h*v(c) - 2*o(c).\nAnswer: 2*c**2 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 6*n. Let x be o(-6). Let g = 61637 - 61637. Factor g + y**2 + x*y - 1\/3*y**3.\nAnswer: -y**2*(y - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3037 is divided by 1004?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l - 3. Let r be x(0). Let t = r - -5. Suppose a = -t, a - 4 = -2*s + 2*a. Solve 5*p + s + 4 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1337164?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -211741 and -1904.\nAnswer: 403154864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 4*n - 3. Let u be z(2). Let w(b) = 2*b. Let d(k) = 6*k + 1. Give u*w(h) - 2*d(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7854205 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 739108?\nAnswer: 739108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 604527679?\nAnswer: 7, 349, 353, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 11*g**2 - 15*g + 56. Let b be z(10). Let q(t) = 21*t + 5. Is q(b) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -0*x. Suppose c + 9 = q + 2*q, x = 5*c - 4*q + 34. Is (-2)\/c*888\/8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -107\/649 - 1\/59. What is the biggest value in -1\/4, q, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250976.\nAnswer: 2, 11, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + g**2 - 1. Let b be k(-1). Let h(d) = 7*d**2 - 1. Let z be h(b). Solve -4*n = 5*o + z, -2*n - o - 8 = 4*o for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 102, -3, -2, -5, 4 in descending order.\nAnswer: 102, 4, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*p - 11 + 11)*(113 - 113 + 4*p) + (-1 + 6 - 3)*(p - p + 2*p**2).\nAnswer: -44*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*z - 21*z + 31 = m, 4*m + 5*z + 97 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 38859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -39362832 divided by -14387\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 8 = -4*j. Suppose -132 + 442 = j*f. Suppose -5*p = -0*p - f. List the prime factors of p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5 + sqrt(1872) + -1 + sqrt(1872) + sqrt(1872) + -2*sqrt(1872)*1)*-3.\nAnswer: -36*sqrt(13) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a - a + 133. Suppose -14*y + 65 = -a*y. Let x = 31 + y. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-3))\/(8\/1764) + -6. Calculate the highest common divisor of t and 893.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 h when two letters picked without replacement from khhygzxg.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 7 = j, 3*j - f + 3*f - 21 = 0. Let v(s) be the third derivative of s**5\/20 - s**4\/8 + 5*s**3\/6 - 3*s**2. Is v(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -21*t + 3. Let y be d(-3). Suppose 0 = -p - 3 + 5. Suppose -20 = -2*x - 4*l, 4*x - p*l = -7*l + 34. Calculate the highest common divisor of y and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 15\/694, 2, 1, -89\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 a when four letters picked without replacement from addaddaafrfdfaarddra.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29728003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -120 - 137?\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 82 - 36. Calculate the remainder when s is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + 0. Let j = -2118\/7 - -303. Which is the second biggest value? (a) j (b) -3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 262761417 + 0?\nAnswer: 262761417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -469 - -827. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - sqrt(28)\/(sqrt(4)*3) - sqrt(7) - (1 + -3 + sqrt(7))) + (-5 + sqrt(7623) + 4)**2.\nAnswer: -202*sqrt(7)\/3 + 7626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 7*r + 16. Give n(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 35? (a) 2 (b) -3 (c) -2 (d) -1\/4 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -12427, -24864, -37303, -49744, -62187, -74632, -87079?\n\"Answer: -z**2 - 12434*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c - 57. What is f(-6)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g + 203 - 1391 = 0. Suppose -6*p + 0*p = -g. Calculate the greatest common divisor of p and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 472 is divided by 33?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160*x + 324*x - 196*x.\nAnswer: -32*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of k**4\/4 + k**3\/3 + 2*k**2 - 3*k. Let u be -5 - 2 - (1 + -5). Is c(u) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 4*t + 1. Let d be w(5). Suppose -d = -4*h + 3*h - 2*z, -20 = 2*h - 4*z. What is the tens digit of 11 - (h + 2 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-16))\/(3 + 0)*2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -346 - -347. Suppose -4*f = -5*f. Which is smaller: j or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.4138199 grams?\nAnswer: 0.0000004138199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 324 + -325. Let f be 21\/2*84 + 1. Let b = f + -14123\/16. Which is greater: q or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - y - 1. Let v(r) = -10*r**3 - 5*r**2 + 5*r + 5. Let n(s) = s**3 - 5*s**2 + 12*s - 31. Let q be n(4). Determine q*v(i) + 5*l(i).\nAnswer: -10*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.954332 litres to millilitres.\nAnswer: 9954.332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 m when three letters picked without replacement from {n: 5, m: 1, x: 14}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*d - 20*d + 28*d)*(5 - 22*d + 50*d - 22*d + 9) to the form p*d**2 + h*d + w and give p.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -25*i - 49. Let x be k(6). Let w(q) = -30*q + 20. Let h be w(-9). Let s = x + h. Is s a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 7:13 PM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 397, -3, -0.5 in descending order.\nAnswer: 397, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 208\/5 - 45. Let f = -109\/35 - b. Is -1 <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -4*k + 8547, -k - 167*z + 2141 = -162*z. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -12. Let b = -2 + 6. Suppose -f - 4*c + 23 = w, -7*f + 4*c - 11 = -b*f. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350)\/(sqrt(810)*1))\/((2*sqrt(56))\/sqrt(8)*-4)*-6.\nAnswer: sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 441934942 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 7*w**2 - w + 10. Let r be y(7). Suppose l = r*l - 106. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1272*b**3 - 703*b**2 wrt b?\nAnswer: 7632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 282 divide 104394691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + r + 17. Suppose -z = 3*z. Let d be c(z). Suppose s = 5 + d. List the prime factors of s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000008071 to seven dps.\nAnswer: -0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*r - 88*r = 3*a - 10, -2*r - 5*a = -10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76, 213, 436, 745?\nAnswer: 1140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 30 = -6*j. Suppose 0 = 4*y - 2*z, -j - 6 = -3*z. Solve 0 = -4*c - y*a - 4, -c - 2*c = -5*a + 16 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2*m - 128, -16 = v + 4*m + 36. Let w = -40 - v. Let a = 96 - w. Is 14 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x. Let y be c(1). Let j = -2 - y. Let s = 3 - -4. Solve j = 3*f - 2 - s for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/50094 and 107\/166980?\nAnswer: 500940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 5:27 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(882)*1)\/((sqrt(324) - (sqrt(324) + sqrt(324) + 3*sqrt(324)))*-3).\nAnswer: -35*sqrt(2)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -2*v**7\/105 + 9*v**5\/5 - 9*v**4 - 2097*v**2. Suppose n(j) = 0. What is j?\nAnswer: -6, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13 or 47\/4?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-3) - (-16)\/(-6). Is 20 a factor of 36 - (0 - (q + 6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 4 (c) -80813\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + 0)\/((-4)\/(-16)). Find g such that 15*g**4 + 21*g**4 - 8*g - 10*g**3 + 16*g**2 - 34*g**a = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -17, 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -198.94 - -199. What is the closest to 1 in 5, 2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 6*j - 6. Let v be h(3). Solve 2*o + r = 6, o - 6 = -o - v*r for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*k**2*q**3 + 115*k**2 + 94*q**4 wrt q?\nAnswer: 6*k**2*q**2 + 376*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -150, -368, -672, -1068, -1562, -2160, -2868?\n\"Answer: -t**3 - 37*t**2 - 100*t - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 5*f - 713, -5*f - 4*h + 719 = -0*h. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(931) - (2 + -2*sqrt(931))))**2 + 4 + (-5*(1*sqrt(2736) + sqrt(2736)))**2 + 3 + 0.\nAnswer: -336*sqrt(19) + 307139","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-34)\/((-1020)\/150).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 o when two letters picked without replacement from {o: 7, n: 1, h: 3, m: 1}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 + 9*m - 51. Give s(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 12*g - 2. Let q be i(2). Suppose -18 - q = z. Let x = z + 61. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p - 72 = -4*p. Let k = -9.65 + 4.4. Let y = k + 0.25. Which is the closest to 0? (a) p (b) y (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000260899152 to 5 decimal places.\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1184611\/77 + -15385. What is the common denominator of s and -27\/182?\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/15, 15, -246?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q - 5 + 5)*((-q + 3*q - 3*q)*(-1 - 2 - 1) + (31 - 22 - 33)*(2*q + 0*q - 3*q)) to the form s + g*q**2 + t*q and give g.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -10534*2\nAnswer: -21068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/5 (b) 0.7 (c) 0.8 (d) 1671\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -182\/649 - -13\/295. Let i = p - -2\/55. What is the second smallest value in i, 0, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*5\/(-20)*-2 + 30. Suppose -8 + m = 4*q. Calculate the remainder when 29 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84\/(-189))\/(2\/(-9)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, d: 2, t: 2, k: 1}. Give prob of picking 2 d.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-1)\/(6 - 1)). Let x be 5*(2 - 8\/h) - 0. Suppose -3*t = x*t - 10. Which is smaller: 15\/7 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 2\/557 (c) -3\/4 (d) 0.4 (e) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 13 + 2*r**3 - 3 to d + w*r**3 + a*r**2 + z*r and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 108553 and 0.6.\nAnswer: 108553.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 56?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 236\/10 + 6\/10. Let y = i - 24. Let v = 0.3 - 0. Sort v, y, -0.1.\nAnswer: -0.1, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/2 + 9*(-610)\/(-20). Let a = 279 - d. Solve 0 = 5*f + a*u + 4, -2*u = 4*f + 3*u - 7 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) 2 (b) -2\/9 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-104)\/210 + 2\/5. Let d = -53 + 581\/11. Which is the nearest to -1? (a) d (b) 2\/5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11398 divided by -41.\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1224, 1221, 1218?\n\"Answer: -3*p + 1227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 663 and 51\/136*4*138.\nAnswer: 45747","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**2 + 0*z**2 + 3*z**2 - 3*z + 2. Let u be q(3). Let m(a) = -25*a - 154. Let g be m(-6). Sort g, 4, u in descending order.\nAnswer: 4, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.42 - -2.32. Put -0.2, 3, 0, d in ascending order.\nAnswer: -0.2, d, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 7 - 43. Let z = -16 - x. Let j = 0 - 2. Sort 0, z, j in ascending order.\nAnswer: z, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from kklkkaua.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -59003 at most -413018\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(42)\/(-1*1*sqrt(3)))\/((sqrt(28)\/sqrt(2)*-3 + sqrt(14))\/sqrt(7)) + -1.\nAnswer: -5*sqrt(7)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (198\/172)\/9*(-60)\/(-165).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -98*m - 172. List the prime factors of p(-30).\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/9)\/((-100)\/(-450)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 13925.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 197 divided by -14\nAnswer: -197\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1826136 and 288.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 3 = -4*m, 2*h - m + 1 = 4*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 5*q + 16. Let j be l(-4). What is the remainder when (2\/j)\/(-2*5\/820) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*p**2 + 7*p**2 - 40226 - 41*p**3 + 4*p**4 + 40222 as g*p**4 + c*p**2 + q*p + u*p**3 + i and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 49*n**2 - 75*n - 140. Is k(-45) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2176 and 136.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*y - 14*y - 312 + 106 + 3*y + 148.\nAnswer: -34*y - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92770228 divided by -4.\nAnswer: 23192557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**3 - n**2 - 6*n + 10. What is j(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 209 and 2861716?\nAnswer: 54372604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 1:19 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 663237019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4719*f + 4719*f - 14134*f + 4708*f.\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + 5 + -1 + sqrt(2448)*-1 + 4 + 5)*6.\nAnswer: -288 + 432*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.2547 to two dps.\nAnswer: 1.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 430 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -1b7d0b3?\nAnswer: 1b7d0af","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*q + 6452 + 53*q - 6450.\nAnswer: 44*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -13 + 14 - (-49 + 58)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -446, -893, -1338, -1781, -2222?\n\"Answer: o**2 - 450*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18046 - 17992. What is the highest common divisor of b and 16506?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**21\/j*j**(1\/28)\/j*((j\/(j**(5\/6)*j)*j*j)\/j)**(-5\/12) assuming j is positive.\nAnswer: j**(10063\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -6.4. Let x = g + -0.3. Let v = x - 0. What is the closest to 1 in 3, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/3556284 and 59\/50230?\nAnswer: 17781420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xe when two letters picked without replacement from {x: 1, v: 2, q: 2, k: 1, e: 4}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a centimeter in micrometers?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3624876?\nAnswer: 2, 3, 17, 5923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8711 * -0.1.\nAnswer: 871.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8608*b**2 - 3*b + 16 + 8609*b**2 + 3*b.\nAnswer: b**2 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 10:13 AM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s. Let d(m) = -1030*m - 7004. Let u(a) = 2*a + 17. Let o(n) = -3*d(n) - 1236*u(n). Give o(y(x)).\nAnswer: -618*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 50 = 5. Let p be (2\/(-6))\/((-5)\/z). Let h = p + 4. What is the lowest common multiple of 7 and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eebbbbeebbebeebbebbe. What is prob of picking 2 e and 2 b?\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 7*x**2 + 5*x + 9. Calculate u(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -2\/3*b**3 - 11\/15*b**5 + 1\/3*b + 7\/6*b**4 - 1\/6*b**2 + 1\/6*b**6 + 3. Let o(d) = 0. What is d?\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 92765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1284.\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 18a137 - -c?\nAnswer: 18a146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, e: 3, h: 1, r: 1, c: 1}. What is prob of picking 1 i and 1 e?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 281, 532, 783?\nAnswer: 1034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -0.4 (b) -1\/7 (c) 28 (d) 1\/3 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 29 = -5*l - 4*w, -w = -4*l + 13. Let x = -146 + 152. Which is greater: x or l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 101 + 22. Let y = k - 53. Let s = y + -75. Which is the second biggest value? (a) s (b) -5\/4 (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 54\/5*p + 2\/15*p**3 - 12\/5*p**2 - 72\/5.\nAnswer: 2*(p - 12)*(p - 3)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.2, 1069\/93, -5 in descending order.\nAnswer: 1069\/93, -1.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xf when two letters picked without replacement from {v: 1, f: 1, j: 1, d: 3, x: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 96*u + 66 - 162 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 134619705 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 64386571?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4*((-4 + sqrt(3) + -5)**2 - sqrt(3)) - (5 + sqrt(4800) + -2).\nAnswer: -116*sqrt(3) + 328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(7200)*-4*4 - sqrt(7200)))**2 - ((sqrt(450)*-1)\/sqrt(9) - ((5*sqrt(150))\/sqrt(3))**2).\nAnswer: 5*sqrt(2) + 33294050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13784 or 1\/3?\nAnswer: 13784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*l**4*o**3 + 5*l**4 - 2*l**3*o**3 - 3*l**2*o + 35*o**3 wrt l?\nAnswer: 264*l*o**3 + 120*l - 12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/12 + 548\/24 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 8*y. Let j be h(-7). Let i(t) = -2*t**3 - 4*t**2 - 3*t + 14. What is the tens digit of i(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -61. Suppose 5*j = -v + 306. What are the prime factors of j?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*v = 10, 3*z - 6 = 4*v - 3. Let s = 7 - 2. Suppose 2*w - 16 = 2*t - 652, -s*t = z*w - 1580. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 + 880*g**2 - 5844*g - 25560.\nAnswer: -4*(g - 213)*(g - 10)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (24\/(-28))\/(1\/(-7)). Let a be 4\/3 + (-6)\/(-9). What is the third derivative of g**x - 3 + 2*g**a + 10 - 7 wrt g?\nAnswer: 120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3420 and 60330.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 794\/10 + (-2)\/5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-406)\/(-357) + 4\/(-6). Which is greater: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5482, -21801, -49000, -87079?\n\"Answer: -5440*f**2 + f - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -87520, -93419, -99314, -105205, -111092, -116975, -122854?\n\"Answer: 2*u**2 - 5905*u - 81617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.58076 + 0.011.\nAnswer: 0.59176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 3*h**2 + h + 1. Let w be f(3). Suppose 3*z = 5*p + 16, -4*z = -5*p + w*p - 10. Calculate the smallest common multiple of 7 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76289284?\nAnswer: 2, 61, 83, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22741917619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*x + 24 = -2*d, 2*d = 2*x + 12. Suppose d*t - 3 - 5 = 0. Suppose -t*u = -u - 6. Is u even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 2 - ((-32 - -37) + 6 + -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - -10) + -27 + (-15 - -76).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001310779 rounded to 7 decimal places?\nAnswer: -0.0001311","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 11*i - 25. Let s be p(4). Let n = 2.8 - 3. Let f = n + 0. Sort 0.3, f, s.\nAnswer: f, 0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.862 + -0.84. Let p = -0.022 + k. Which is the second biggest value? (a) 8 (b) p (c) -0.5 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**5\/5 - 1848*l**4\/5 - 1891594*l**3\/5 - 352181616*l**2\/5 - 350291872*l\/5 = 0 for l.\nAnswer: -332, -1, 0, 1589","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/3)*m)\/m**2*m\/(m**(-1)*m)*m**(1\/2)*(m**2\/m)**49\/((((m\/(m\/(m**3\/m*m)))\/m)\/m)\/((m*m**7)\/m)) assuming m is positive.\nAnswer: m**(331\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/440 and 67\/180?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58 - 55. Let a be m + 65\/55 + -4. What is the nearest to 1 in a, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16664 and 21656.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/3*-12*-2. Let p be (6\/(-8))\/(b\/64). Suppose -22*h + 85 + 25 = 0. Solve -3*i = y + h, -5*y - 3 = -p*i - 2*y for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 39\/5, -4.\nAnswer: -4, -1\/2, 39\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - j**2. What is l(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-9384)\/(-18))\/(-34)*(-12)\/8\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 175963.65 months in decades?\nAnswer: 1466.36375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -24*o + 27*o. Let h(a) be the second derivative of a**2\/2 + 3*a. Let s(d) = 2*d**2 + 3*d. Let q(x) = -4*h(x) + s(x). Determine q(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 2. Let i = 2 - o. Let z(t) = -t**3 + 6*t**2 - 2*t - 15. Let v be z(5). Which is the nearest to i? (a) -1 (b) 0.3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5145)\/(-36729) + 28*(-49)\/72716?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(17) - sqrt(153)*1).\nAnswer: -2*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -0.05464\nAnswer: 0.10928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 175947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1533?\nAnswer: 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/5))**(9\/2))**8 assuming j is positive.\nAnswer: j**(-72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 50 = -97. What is the remainder when o is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mgh when three letters picked without replacement from mgvooodooodoghvdv?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -51*o**2\/2 - 19*o + 139. Let j be q(-1). Solve -j = -x + 9*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = t - 32. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 489417.012ns in weeks?\nAnswer: 0.00000000080922125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 - 2 - 15)*(8*n - 164 + 0*n + 158).\nAnswer: -376*n + 282","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Work out 0.36 * 0.1954573.\nAnswer: 0.070364628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4460560219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + -22)*(-14)\/56*26188 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -687 (base 13) to base 9.\nAnswer: -1480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 490 + -1599. Let o = q + 2943. Suppose v + w - o = 6*w, 0 = -v + 3*w + 1828. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -427 + 438. Suppose r*j - 4*j - 14 = 0. Sort 0, 16, j in decreasing order.\nAnswer: 16, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 606c (base 14) in base 16?\nAnswer: 40b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 7:38 AM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -222 times 1?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of u**5\/20 - 5*u**4\/12 + 5*u**3\/6 - 3*u**2 + 18*u. Suppose 3*h - 4*p = -29, 6*h - h + 20 = p. Let n = h + 7. What is c(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124350265 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -796 divided by 2066837?\nAnswer: -796\/2066837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.25*1.1.\nAnswer: -0.275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.094 or 1422\/103?\nAnswer: 1422\/103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f - 7. Let o = -930 - -916. Calculate j(o).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**3 - 56*d**2 - 59*d - 136. Give q(-27).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c + 732. Let g(j) = -130 + 39 - 3*j**2 + 91. Determine g(m(n)).\nAnswer: -3*n**2 - 4392*n - 1607472","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*m**2 + m + 24*m**2 + 36*m**2 - 45653 + 45653 in the form u + b*m**2 + h*m and give b.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1772\/170849 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 965529758?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -358 - -609. Suppose 887 = 4*d + o. Suppose d = 3*x - 0*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 0)\/8 + (-35 - 44000\/(-1280)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6627 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-122)\/(-24) + 38\/(-114) + -5. Which is the nearest to -2\/5? (a) 1 (b) r (c) 2 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*v**5 - 4588*v**4 + 45212*v**3 + 308860*v**2 - 4723488*v + 13371120 = 0. What is v?\nAnswer: -10, 6, 7, 1137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*f + 6*f - 2*f - 6*f + f**3 + 284*f**2.\nAnswer: f**3 + 284*f**2 - 14*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 23*s - 22. Suppose -2*d = -23 + 3. Let o be i(d). Let q = o - -3. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (3 + 7 - -4 - 7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.023 from -1809008.8.\nAnswer: -1809008.823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 2 = 3*x + b, -x + 2*b = 11. Let u be 4\/(-6) + (-2)\/x. Suppose -3*d + 0*d - 60 = -5*q, q - d - 10 = u. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 4*q**2 - 32*q**2 - 42*q + 8*q**2 + 19*q**2 - 372 - q = 0.\nAnswer: -31, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-144)\/40*(0 - 2540). Suppose -1920 = -2*j + s. Let f = -82919\/15 + j. What is the common denominator of 28\/11 and f?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1954, -1969, -2000, -2053, -2134, -2249, -2404?\nAnswer: -2605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27450, -27448, -27444, -27438, -27430?\nAnswer: -27420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -16. Let d = z - -10. Let m = -3 + 1. Sort m, d, -5 in ascending order.\nAnswer: -5, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5285 and 8305?\nAnswer: 58135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3) - 14\/(-840)*-60?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i + 3. Let w = 9 - 2. Let c(h) = -5*h + 11 - w + 9. Let t(y) = -6*c(y) + 26*q(y). Let l(r) = -r**2. Calculate t(l(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of 593*v**7\/105 - 253*v**5\/20 - 242*v**2. Find the third derivative of w(r) wrt r.\nAnswer: 28464*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 67 + 81 = z, 0 = 4*z + a - 583. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w + 3. Let z be 1\/2 + 66\/12. Suppose -3*f - 3*i + 18 = 0, 2*f + 4*i - 28 + 10 = 0. Let u = z - f. What is n(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 1:57 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -5\/87, -0.02, 13?\nAnswer: -5\/87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 63944 at least 63944?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 26*y**2 + 47. Let g be f(-26). Let l(d) = 39*d - 300. What is the thousands digit of l(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -5*w + 145. Let n = -13 + w. Suppose 3*z - 11 = n. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -1) + (242 - 254)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 1 = -17. Suppose -y*m - 4*w - w = 18, 4*w - 15 = m. Let g = 46 - m. What are the prime factors of g?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118194719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2232538, 2232539, 2232540, 2232541, 2232542, 2232543?\n\"Answer: y + 2232537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -273871524.79999794 + 273871507. Let f = 17.8 + c. Round f to seven decimal places.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 28929635?\nAnswer: -28929632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -t**4\/24 - 69*t**2. Let s(n) = -3*n + 7. Calculate k(s(y)).\nAnswer: 3*y - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a - 2*a - 9*a**3 - 2*a**3 - 2*a**2. Calculate the lowest common multiple of t(-1) and 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**5\/4 - 291*w**4\/4 + 7197*w**3\/4 - 6621*w**2\/4 - 1800*w + 1728 = 0. Calculate w.\nAnswer: -1, 1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -57, -113, -183, -267?\nAnswer: -365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -17*g**2 - 11*g. Let n(r) = 6*r**2 + 4*r. Let y(o) = -o**3 - 7*o**2 + 9*o + 11. Let d be y(-9). Let m = d - 81. Determine m*n(v) + 4*f(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 7*g - 5. Let y be f(-5). Suppose -y = -2*r + 3. Suppose u = -r*u + 595. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -121090.1883 + 25.1883. Let f = -121038.0051 - u. Let h = f + -27. What is h rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1736 is divided by 492.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 2*a**2 + 2*a - 1 + 3*a**2. Is w(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*x**3 - 47*x**3 + 96*x**3 - 1 - 5*x**3 + 1.\nAnswer: 35*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 4059?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + 9)*7\/2. What is the highest common divisor of h and 168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -7)\/96*-4\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (-4 - -3) - 0. Is 2\/3 <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 308 and 55?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75698 is divided by 54.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + 174622432548\nAnswer: 174622432547.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - u. Let y be o(1). Let h = y - -7. Suppose f = -0 + 4. Solve 4*x + 32 = f*c, -8 = h*x + 7 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 291946945?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 76319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3108720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1096524?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 3*z - 4*l + 16, 0 = 2*l - 8. Suppose z*k = -2*k + 26. Calculate the remainder when k is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 3*k + 27 = 0. Let f(s) = -s**3 + 11*s**2 - 9*s - 11. What is the units digit of f(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 32. Is 8 a factor of 4 + 587 + (7 - u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 1, 5 in decreasing order.\nAnswer: 5, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -131 + 118. Let f(g) = g**2 + 14*g + 17. Determine f(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2387.11g in micrograms?\nAnswer: 2387110000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6364.4 + 44?\nAnswer: 6408.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -4 (c) 2 (d) -0.07 (e) -74\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 215\/4*22176\/2520. Is 466 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/8)*f*f**(1\/7)\/f*f)\/(f**5*f**(2\/57)) assuming f is positive.\nAnswer: f**(-13621\/3192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -66*w - 11. Let d(r) = -10*r - 1. What is c(h) - 9*d(h)?\nAnswer: 24*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 2 - sqrt(2))*-5*-3 - (sqrt(20)\/(sqrt(10) + 2*sqrt(10)) + (sqrt(54)\/sqrt(3))\/sqrt(9))**2.\nAnswer: 238\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3865723997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert d34 (base 15) to base 4.\nAnswer: 232132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 46 in -2\/5, 3\/5, -9, 14\/33?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 13 = -2. Suppose 0 = 4*d - j - 92, 0*d + z*j = -4*d + 116. Suppose 0 = 4*i + i - 65. Calculate the remainder when d is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*p + 4*p - 3*p + 2*p.\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -426.7469 rounded to the nearest ten?\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 833*n**2 - 168 - 417*n**2 - 398*n**2 to the form w*n + z + m*n**2 and give m.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 393\/1262 or 1?\nAnswer: 393\/1262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/14*154\/(-66)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -1199*o**3 + 2*o**2 + 2*o + 9. Let w(c) = -4791*c**3 + 8*c**2 + 9*c + 37. Let h(n) = -9*g(n) + 2*w(n). Find the third derivative of h(x) wrt x.\nAnswer: 7254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnaanaatant. Give prob of picking 2 n.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 4*q**3 - 24*q**2 + q + 145. Is h(26) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -108 - 22. Suppose 17*r - 15*r = 52. Calculate the highest common factor of o and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 18*h + 4. Give s(-19).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-74)\/6 - 5\/(-15). Let p be (u + 8)\/((-2)\/10). Factor p*l**3 + 5 + 18*l**4 + 2*l**4 - 15*l - 5*l**3 - 25*l**2.\nAnswer: 5*(l - 1)*(l + 1)**2*(4*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**3\/13 + 2277612*b**2\/13 + 49879790400*b - 1296883660864\/13 = 0 for b.\nAnswer: -569404, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2988 - 2903. Solve -i*k + 9 = -88*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104551 (base 11) to base 12.\nAnswer: 807b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 3 + (3 - 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6135 + -1326?\nAnswer: 4506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h - 4*k + 9, -7*k + 8*k + 4 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/22 - (1 - (-168)\/(-77)). Suppose -y = y + 8, -3*r - 2*y = 5. Suppose 2 = l + 4*i - 5*i, 26 = 5*l + 3*i. Solve -3*u - 18 = l*a, m = -u - r for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 (base 6) in base 2?\nAnswer: 111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven quarters of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17.54 * 64.\nAnswer: 1122.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44.7 - 45. Let q = -19 - -19. Let p be (4\/10)\/(2\/3). Which is the biggest value? (a) p (b) q (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -3*y + 56, t - 55 = 4*y - 82 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1516 or 3980?\nAnswer: -0.1516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*h + 30 + 111 = 0. Let s(y) = y**2 - y - 1. Let d(x) = 3*x**2 - 2*x - 4. Let p(f) = d(f) - 2*s(f). Give p(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 51567.2946 and -0.4.\nAnswer: 51566.8946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**2 - 22815438*q + 43378684260987 = 0 for q.\nAnswer: 3802573","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 141*y**2 - 16. Let t(l) = 4*l + 4. Determine t(g(b)).\nAnswer: 564*b**2 - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 861917 to the nearest integer?\nAnswer: 928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ba + -283bc?\nAnswer: -28302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -307, -326, -345, -364?\nAnswer: -383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -60770153 + -4?\nAnswer: -60770157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -3 + -3 + 1 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-15)\/(-20)*(-3 - (-251)\/15) and 158\/10*(-25)\/(-20).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*6*(0 + sqrt(2736) + sqrt(2736) + ((sqrt(2736) - sqrt(2736)*2) + 4 - sqrt(2736))**2 + sqrt(2736) - (5 + sqrt(2736)*-2 + 2)).\nAnswer: -3960*sqrt(19) + 328590","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9 and -0.065151049923.\nAnswer: 8.934848950077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*w + 9 + 31 = -17. Let n = 0.1 + 0.2. What is the biggest value in 4, 2\/33, w, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/4)\/(x*x**4)*x\/x**(-4)*((x\/((x\/x**(-5))\/x))\/x)\/x)\/((x**6*x*x**(2\/3)\/x)\/(x*x**1*x)**(-21)) assuming x is positive.\nAnswer: x**(-899\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1391 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 606 and 847302?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 11:43 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -14480 and -0.054885995.\nAnswer: -14480.054885995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2832556 divided by -708139.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -194a + -5?\nAnswer: -1953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3746934?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 20, 67, 140, 239, 364, 515, 692?\n\"Answer: 13*a**2 + 8*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 - 100\/15)*(4 + -1). Let r be 10 + -3 + -3 + 4 + k. Let c(q) = -q**3 - 7*q**2 - 8*q + 4. Let z be c(-6). Solve -r*f = f - z for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4*a - 17236 = 0, -a - 8050 = -2*t + 559. Suppose -41*i + 3607 = -t. Is i a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -t + 54. Calculate the lowest common multiple of t and 26.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 0 = -2*h - 3*x, 4 = -h - 3*x. Let s(k) = k**3 - 5*k**2 + k. List the prime factors of s(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*f**3 - 47*f + 22*f + 25*f.\nAnswer: 14*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b = -18 - 2. Suppose -9*t + 4*t = 4*f - 22, -3*f = -b*t - 28. Solve -3*m = m - o + f, 5*o + 6 = -3*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 494*m**3.\nAnswer: -494*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/232 and 17\/16?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = c - 15, 0*k + 5*k + 45 = 2*c. Does 5 divide 16*3\/(-9)*c\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1150152 + -144?\nAnswer: 1150005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -3*x**4 + 892245*x**3 - 88455979638*x**2 + 2923175273175612*x - 2923086818088216 = 0.\nAnswer: 1, 99138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 3*n = 360, -4*f + 4*n = 6*n - 364. Suppose 94*j = f*j + 90. Calculate the greatest common divisor of j and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24665838 greater than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*r - 96 + 32. Let a(w) = -w**2 - 13*w - 9. What is a(r)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -24914*w - 224022. Determine c(-9).\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fufuoqozfcfofofcz. Give prob of picking 1 c and 1 q.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 2*u + 1 + 8 - 5 as y + p*u and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 13. Let a(f) be the third derivative of f**5\/60 - f**4\/24 - f**3\/6 + 203*f**2. Give a(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42550)\/990 + 43)\/(36\/(-396)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 870 (base 12) to base 3\nAnswer: 1200210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -13642, -36795, -59950, -83107, -106266, -129427?\n\"Answer: -t**2 - 23150*t + 9509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38 - (99 + -75)) + (-18 - 1).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of f**7\/42 - f**4\/6 - 9*f**2. What is the second derivative of a(u) wrt u?\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 519450?\nAnswer: 2, 3, 5, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 1 - 3 = 0. Suppose -2*s + 3*s = 3. Let x = s + j. Which is the closest to 0.1? (a) -3 (b) x (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b. Let c(v) = -18*v. Calculate 5*c(z) + 5*y(z).\nAnswer: -85*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.02*28794\nAnswer: -575.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 8:27 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 0.2 (c) -0.5 (d) 0.1 (e) 530\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 484*a - 49440 = 2132*a for a.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*p**3\/19 + 1010*p**2\/19 + 2764*p\/19 - 9680\/19 = 0. What is p?\nAnswer: -484\/7, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1160?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**2 + 11*m + 1. Let r be n(-9). What is the highest common divisor of r and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*v**4 - 547 + 397*v**4 + 10469*v**2 - 10469*v**2 with respect to v.\nAnswer: 1536*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 9:38 PM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(y - 2*y**2 - y) + (-y - y + 4*y)*(226*y - 1415 + 1415).\nAnswer: 450*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/29 (b) -21.6 (c) 934\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 - -60. Let x = 10 - 7. Let n = 7 + x. Calculate the greatest common divisor of l and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 4. Let r = -1 - -2. Let h = c + r. Solve 4*f - g - 23 = -8, h = f - 5*g + 1 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194991642?\nAnswer: 2, 3, 19, 233, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 2:18 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11641 and 30040432.\nAnswer: 1663","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -8. Let k = g + 2. Sort k, -0.2, 1\/2 in increasing order.\nAnswer: k, -0.2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 94 = -146. Let y = 188 - n. Does 37 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 + -6. Suppose 4 = 2*w + 2*h - 8, -2*w - 5*h = -t. Find z, given that -z - 1\/3*z**3 + 1\/3 + z**w = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 958919206 to the nearest integer?\nAnswer: 30966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 13\/20 + (-2)\/5. Let h be ((-432)\/462)\/((-2)\/7*-1). Let r = h + 227\/66. Which is the nearest to t? (a) -3 (b) 1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106015 = -43*g + 711. Let z = g + -1615. List the prime factors of z.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 20*q + q + 3*q**2 - 3*q - 9*q + 1220001*q**3 - 4*q + 6. Let x(v) = -v**2 - 1. Let t be x(-1). Let d be j(t). Round d to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -b - 2, 13 = 2*b + b - 4*s. Suppose -h - 10 = -b*h. Is 5 != h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3210 + 204?\nAnswer: 3414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 8*s + 4. Let q(y) = -4*y**2 - 33*y + 9. Let g(b) = -11*n(b) + 3*q(b). Give g(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3489*k**3 - 3491*k**3 - 3489*k**3 + 10471*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/12*-2*-12. Let y(d) be the first derivative of d**3\/3 + 2*d**2 - 8*d + 1. Let g be y(j). What is the third biggest value in 1\/10, g, 1?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5916, 5991, 6066, 6141, 6216, 6291?\nAnswer: 6366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4581 plus 5?\nAnswer: 5.4581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 9560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1047 + 1018 - 7517*z + 30 + (-2 + 1 + 3)*(-z - 2*z + z) to d*z + u and give d.\nAnswer: -7521","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (3\/30)\/(16\/200*(-3)\/(-3))\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3 + 842265*d**2 - 1684545*d + 842275.\nAnswer: 5*(d - 1)**2*(d + 168455)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 2:58 PM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 532827132 a multiple of 186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -23*7\/(-1610) + (-3383)\/(-1870)?\nAnswer: 21\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9652 = -2*d - 4*i, i - 24333 = -5*d - 158. What is the greatest common factor of d and 248?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(272) + 0 + 1).\nAnswer: -4*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*10\/(-390)*3\/(-1)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4343 - 15403?\nAnswer: -11030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (t**2 - 1 + 1)*(-112 + 14 - 54) in the form w*t**2 + r + k*t and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -151 or -497?\nAnswer: -151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) + -2)**2 + 3 - 4*sqrt(675)) + -4.\nAnswer: -72*sqrt(3) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from sdsdsssd?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3556362 is divided by 2117.\nAnswer: 1919","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -677\/2, -0.3, 0.1, 1\/4?\nAnswer: -677\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -431*o**3 + 1893*o**3 + 278*o**3 + 4653*o**3 + 2313*o**3.\nAnswer: 8706*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 (base 6) in base 11?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 2*y - 10. Let x be f(-5). Solve -2*p + 4 = 5*q, -4*p - 16 = -x*q - 2*p for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -317 (b) -100215 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-3860.46\nAnswer: -1158.138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23758 + 34606. What are the prime factors of p?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -5. Let o = 2 - y. Find the common denominator of -119\/6 and 186\/(-9)*o\/(-32).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -129961 - 70?\nAnswer: -1299d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17 and 1921.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(2) - sqrt(22)\/(sqrt(11) - sqrt(176))) + 4)*-2.\nAnswer: -40 - 40*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27943942 and 166?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {a: 3, y: 9, m: 4}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 14*f + 2*f**2 - 2 - f**2 - 8*f. What is r(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 88.8646, -4.\nAnswer: -5, -4, 88.8646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-62166)\/(-104))\/((-1)\/(-4)).\nAnswer: 3, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 69 (b) -2 (c) -3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.9 - 1.6. Let m = -2.7 - o. Let i = m + 2.4. Which is the nearest to -0.1? (a) 1\/5 (b) 0.5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.47879381 rounded to zero decimal places?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -20, -3*k = 4*z - 12 + 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19887852 is divided by 343?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/10940 and -107\/444.\nAnswer: 1214340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of x**5\/30 - 65*x**2 + 15*x. Let j(f) = -4062*f. Determine j(s(t)).\nAnswer: -8124*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2172 + 528. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -603 + 606. Suppose 0 = 4*k - k - 9. Is k at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -3*a**5 - 408*a**4 + 10503*a**3 + 182952*a**2 + 728028*a + 555984 = 0.\nAnswer: -156, -6, -1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and -60265276?\nAnswer: 60265276.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f + 7 = -63. Suppose f*o + 1001 = 2*u - 821, -3*u + 2733 = 4*o. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3727 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i - 5*i + 3*i)*(0 + 2*i**2 + 0) - 2*i**3 - 10*i**2 - i**3 + 4*i**3 + i**3 + 58 - 58 - i to o*i**3 + v*i**2 + z + k*i and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 18. Let o be 4 + (2 - 3) - t. What is the third derivative of 3*f**5 + 7*f**5 - o*f**2 - 4*f**5 wrt f?\nAnswer: 360*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 d when four letters picked without replacement from gdlgtttpdtgtddpdd.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8764 - -6409. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -589 - -2079. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*o**2 + 180*o - 180*o)*(2 + 4 - 5)*(23 - 7 + 4)*(2 + 7 - 3) as m + n*o**2 + h*o and give n.\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**3 - 2*q**3 + 3 + 14*q**2 + 17*q - 10 + 6 + 6. Let o(c) = -13*c**2 - c. Let s be o(-1). List the prime factors of k(s).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -271 - -562. Is 19 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 20202 (base 3) to base 2.\nAnswer: 10110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5726 - -13228. What are the prime factors of m?\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1823041 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/21*-3 + (-3)\/21. Let l = j + 2. Determine q, given that -1\/3 + l*q**3 - 23\/6*q**2 + 13\/6*q = 0.\nAnswer: 1\/4, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 5*v + 206, 3*c + 2*v = 2*c + 215. Let g be 4\/24 + (-2333)\/(-6). Let l = g - c. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2220 > -1080500\/487?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**2 + 0*u**2 + 3*u**2)*(-1 + 4 - 2)*(-6 + 2*u + 6)*(3 - 4 + 0).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*j - 26*j - 23*j)*(-2 + 3 - 2)*(j + j - 4*j).\nAnswer: -46*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -972 + 972. Let q = 1223 + -1208. Let i be 10\/3*3\/2. Solve i*j = -h + q for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tkttttkkktktkkkk. What is prob of picking 2 k?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1115 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 7:59 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4*f - 16*f. Find the second derivative of -14*p + 18*p + f + 30*p**2 + 5 wrt p.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 136\/19 (c) 1.7 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, 2 in increasing order.\nAnswer: 0, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 14*z**2 + 10*z + 1. Let p(h) be the first derivative of h**3\/3 + h**2\/2 + h + 5. Let m(o) = i(o) - 3*p(o). What is the units digit of m(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c = 6*c + 6. Suppose 2*a = 3*o + c*o, -5*o - 10 = -4*a. What is the second derivative of -o*l - l**3 + 5*l + 8*l**3 wrt l?\nAnswer: 42*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + ((-5050)\/625)\/((-10)\/5).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -80*v**2. Let f(g) = -4*g**2 + 55*g - 7. What is f(s(q))?\nAnswer: -25600*q**4 - 4400*q**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -4*r**5\/3 + 1223800*r**4\/3 - 93606626260*r**3\/3 + 187199790880*r**2\/3 + 655224355760*r\/3 + 374416714816\/3 = 0.\nAnswer: -1, 4, 152974","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from heeeeeee?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3398, -6797, -10196, -13595?\n\"Answer: -3399*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 174283106 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 911527.1 years to centuries.\nAnswer: 9115.271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2*sqrt(567)*-2)**2 - ((-3 + sqrt(567) + sqrt(567) + sqrt(567))**2 - ((sqrt(21)\/sqrt(3) - sqrt(7)) + 2 - sqrt(7))).\nAnswer: -55*sqrt(7) + 3971","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**5 - 100*m**4 + 284*m**3 - 88*m**2 - 286*m + 188 = 0.\nAnswer: -1, 1, 2, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -193277 divided by 1?\nAnswer: -193277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -2*y - 2*y - 5*g, 5*g + 22 = -y. Let m be ((-150)\/(-9))\/(y\/(-2475))*192. What is m rounded to the nearest 100000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -437 + 755. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1830427935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a century in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-10) + 0 + 1446\/(-285). Which is smaller: -6 or f?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.046893*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -34 - 43*i - 91*i + i**2 + 134*i as u*i + t + g*i**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(-1\/4)*n*n\/n**(1\/9))**(-1\/10)*(n**(-2\/5))**(1\/10)*(n*n*n**(-3\/2)*n*n)\/(n**(-1\/4)\/n) assuming n is positive.\nAnswer: n**(6023\/1800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or 0.02?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3060\/(-16))\/51)\/(1\/((-40)\/15))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_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: (-2 - 1 - -3) + (-13 - -3) + 17\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 16264*x - 4699. Is n(60) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/(-6))\/((-1)\/3))\/(195\/(-43680)*2296)?\nAnswer: -4\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 + 6 = -14*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qr when two letters picked without replacement from rkqkkqkoqqukouqq?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, 2\/7, -281\/3, -2\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*u = -20. Suppose -4*p + 12 = 4*c, p - 17 = 2*c - 26. Calculate the remainder when c is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -5 - (5 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14543473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 946663293 to the nearest integer?\nAnswer: 30768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5*r = 17, -10*r - 11 = -t - 12*r. Suppose -6*s + 103 - 31 = 0. What is the fourth smallest value in 5, t, s, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*l + 6 - 17 = 0, 0 = -4*x - 3*l + 16. Suppose 4*o - x = -a, -3*o = 4*a - o - 74. What is the smallest common multiple of 18 and a?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.595 and 52.3291.\nAnswer: -83.4649145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2196 + 2197. What is the nearest to -0.1 in -5, d, -2\/11, 3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {l: 4, v: 6, c: 7}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-210)\/490 + -1 + -574958*(-3)\/42?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -771*r - 8625734 + 8603375 = 0 for r.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a factor of 95626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -567, -584, -621, -684, -779?\n\"Answer: -v**3 - 4*v**2 + 2*v - 564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5847, 5616, 4977, 3720, 1635, -1488?\nAnswer: -5859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -294, -106, 64, 210, 326, 406, 444?\n\"Answer: -x**3 - 3*x**2 + 204*x - 494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -475, -597, -709, -805, -879, -925?\n\"Answer: p**3 - p**2 - 126*p - 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -263 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 14 + 11 = 0. Suppose 4*z - 2*v + 18 = 0, z - 4*v + 15 = -0*z. Let p be (0\/y)\/z + 5\/10. Which is the nearest to p? (a) 0.05 (b) -3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2237007, -8947950, -20132827, -35791638, -55924383, -80531062?\n\"Answer: -2236967*j**2 - 42*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2. Let r(a) be the first derivative of -a**3 - 14. Calculate r(m(w)).\nAnswer: -3*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -7*c. Let b(q) be the first derivative of 83*q**3\/3 + 348. What is b(w(f))?\nAnswer: 4067*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2686\/6)\/((-75650)\/(-13350)).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w + 8 + 0 - 4*w**2 + 5*w**2. Let q be (24\/3 - 5) + (-3)\/1. Give v(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/3130 and -97\/11268.\nAnswer: 56340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8452, -8433, -8406, -8371?\n\"Answer: 4*i**2 + 7*i - 8463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 2:19 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13578*y**2 + 9*y - 10*y + 15352*y**2)*(-y + 4*y - 2*y) to the form p + c*y**3 + l*y + a*y**2 and give c.\nAnswer: 1774","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*h**2 + 5 + 37*h**2 - 67*h**2 as m*h**2 + t*h + k and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l - 38 + 32 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 565 = -9*w + 1576 - 563 - 682 for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -154870 by -4.\nAnswer: 77435\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 16. Let u(g) = -g**3 - 6*g**2 + 7*g + 4. Let m be u(h). Let v be (-3)\/(-9) - m\/(-6). Which is the second biggest value? (a) v (b) 1\/2 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 294.2 + -294.198325. What is p rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 4*i**2 + 6*i + 7. Let w be z(-5). Let f = -1 + 3. Suppose f*h + 0*h = 3*c - w, 5*c + h = -1. Solve 4*b - 6 + 18 = c for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y + 2*y - 6*y + 6*y - 17.\nAnswer: -3*y - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 464, -514, -2116, -4342?\nAnswer: -7192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (50\/12)\/(-5)*-6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -28. Let i = 19 + y. What is the greatest common divisor of 8 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 7*u**2 + 5*u - 7. Let d(l) = l - 2. Let x be d(-4). Let b be g(x). Is 1\/5 at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1010 (base 2) to base 11\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1416007 to 4 dps.\nAnswer: -0.1416","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*j = 46485 - 46296 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5161 plus 5?\nAnswer: 5166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13412565 is divided by 3353140.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from otttototnttytltotln. What is prob of picking 1 l and 1 y?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(176) + 1 + sqrt(176))*6 + 5)*-2.\nAnswer: -96*sqrt(11) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1106*q + 15641 + 6563 = 742*q for q.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -85.\nAnswer: -4\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 25343 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 477102463?\nAnswer: 71, 1487, 4519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 77.2631 - 0.0631. Let b = 77.1432 - f. What is b rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w. Let r(t) be the second derivative of -t**3\/2 - 3*t. Determine r(n(z)).\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1404*h + 1152 = -1340*h for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 3\/4, 0.06, 1\/1154, -3 in increasing order.\nAnswer: -3, 1\/1154, 0.06, 0.4, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 53*c - 19*c + 296*c - 6600 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 47680.3 to the nearest one thousand.\nAnswer: 48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*x = -67*x - 6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 143920851 a multiple of 1274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 3*f - 15 = 0, -96 = 112*c - f + 133 + 444 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2696320 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 17a?\nAnswer: 17d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 127280644 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6348*k**3*o**2 + 303*k**3*o - 196*k**2*o**2 - 5*k**2*o - 40*k**2 + k - 9*o**2 + 16*o wrt o.\nAnswer: 12696*k**3 - 392*k**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -j**6\/60 + j**5\/15 + j**4\/24 + 2048*j**2 + 2. Let i(v) = 2*v**3 - 5*v**2 - 2*v. Let n = 2 - -1. What is n*a(u) + 2*i(u)?\nAnswer: -2*u**3 + 2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 k when three letters picked without replacement from {t: 4, o: 2, k: 5, a: 1, e: 2}.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 6) + 21 + (-1848)\/114?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.3 * 65.\nAnswer: 279.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11125*i**2*s*x + 2*i**2*x**3 + 2676*i**2 + i*x**2 + 2*i*x - 2690*s*x**3 + 69*x**3 wrt s?\nAnswer: 11125*i**2*x - 2690*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 7. Let s(r) = 5*r**2 + 7*r - 38. Let l(g) = 4*b(g) - s(g). Let t(f) = f**2 + f - 1. Give -l(d) - 6*t(d).\nAnswer: 3*d**2 + d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrjrjjajj. Give prob of picking 1 r and 1 j.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-138)\/(-42) - 2\/7. Is f greater than or equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-4))\/(1\/(-2)). Which is the nearest to -1? (a) 0.4 (b) v (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*4*5*1*(-2 + sqrt(242) + (sqrt(242) + -1)**2 + sqrt(242) - (1 + sqrt(242))*-5).\nAnswer: 3300*sqrt(2) + 14760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-4) + 1\/2. Let h = 8 + 4. Solve -n - h = 2*w, -n + k = -4*n + w for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 1. Let i(z) = 39*z**2 - 26*z**2 - 17*z**2 + 5*z. Let g(v) = 5*c(v) - i(v). Let u be g(-4). Which is bigger: u or -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 166*m - 10*m**3 + 6 + 147*m - 29*m**3 as p*m**2 + t*m + j + f*m**3 and give f.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -369*n**3*t**3 + 10*n**3*t - 3*n - t wrt t?\nAnswer: -2214*n**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5723310768 to the nearest integer?\nAnswer: 1789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-2))\/((-14)\/21). Solve 1 = -2*j + z + 2, -5*j = -g*z - 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 11, 3, 500, 1 in descending order.\nAnswer: 500, 11, 5, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2994.816um?\nAnswer: 2.994816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from slvsslklkn. Give prob of sequence kvlk.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, a: 4, v: 1, f: 2, h: 1, x: 3}. What is prob of picking 1 h and 1 v?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 39*p - 5740. Let f be p\/(-34) + 10\/85 - -10. Solve -35 = f*h - 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g - 87 - 25 = 0. Let u(i) = -i**2 + 11*i. Let s(a) = -5*a**2 + 65*a. Let w(n) = 6*s(n) - 34*u(n). List the prime factors of w(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -c**6\/120 + 11*c**5\/60 - 5*c**4\/12 - 5*c**2. Let m be y(10). Let q = m + 146. Is 15 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -662587 or -662586?\nAnswer: -662587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 - 65\/2. Let t = 23 - 10. Let j = 8 - t. What is the third smallest value in 0.2, j, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -382*-0.044.\nAnswer: 16.808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*q + 24 = 24. Let v = -14 - -16. Sort q, v, -4 in ascending order.\nAnswer: -4, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -13 + 25. Suppose 0 = -3*v - 3*k - 3, 2*v - l*k - 1 = 3. Let s(g) = -g**3 + g - 7. Determine s(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52839 divided by 4.\nAnswer: -52839\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*-97.\nAnswer: 2037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2199180, 2199171, 2199162, 2199153, 2199144, 2199135?\n\"Answer: -9*k + 2199189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 86 - 50. Suppose 34 = a - 5*x, -4*a - 3*x = 2*x - d. What is the remainder when (-210)\/(-8) - 1\/4 is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 221 + -202. Calculate the remainder when b is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -58*b**3 + 6*b**2 + 2*b + 30. Let f(p) = 3*p**2 + p - 15. Let a be f(0). Let c be t(a). Round c to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 22068413 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, t: 1, k: 7}. What is prob of sequence tkkj?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 24 = 138. Let u = 55 - d. What is the lowest common multiple of u and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2362 is divided by 27?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -67883\/696 + 2646\/29. Let a = -141\/8 - k. Let r(j) = -3*j**2 + 18*j + 10. Let f be r(7). Does f = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 687 is divided by 175.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.438502 - 47.438632. Let h = -44.2 - 0.8. Let q = h - j. What is q rounded to five dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of 0 + 104*m + 0*m**3 - 5\/21*m**7 + 2\/5*m**6 - 1\/10*m**5 + 0*m**2 + 0*m**4. Factor x(f).\nAnswer: -2*f**3*(f - 1)*(5*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.43 take away 1182.32?\nAnswer: -1182.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/55)\/((-4)\/(-20)). Let v(n) = n - 5. Let q be v(6). Which is smaller: z or q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 14 = 71. Let h = s + 49\/3. Let k = -5.9 + 1.9. Sort k, -0.2, h in ascending order.\nAnswer: k, h, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 0 = 24. Suppose 0 = -x*n + 3*n + 69. Suppose n*v - 14*v = 2079. Calculate the highest common divisor of 33 and v.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -528 = -3*d - 5*d. Let c = 87 - d. List the prime factors of c.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -899 by 899.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of 25*p**6\/6 + 37*p**5 + 130*p**4 + 680*p**3\/3 + 200*p**2 + 80*p - 2104. Factor b(x).\nAnswer: 5*(x + 1)*(x + 2)**3*(5*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 4*q - 189, 3*k - q + 2*q - 174 = 0. Suppose 1 = 5*w - 49. Calculate the least common multiple of 4 and 2\/w - k\/(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 27 = -4*f - 3*m, -5 = -f + 2*m. Let i(g) = g**3 - 6*g**2 - 5*g - 19. Let t be i(f). Which is the biggest value? (a) -0.3 (b) t (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -16\/5 and -193536 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3896 is divided by 1922.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + o + 1. Let x(w) = -7*w**2 - 4*w - 5. Let n(r) = 6*i(r) - x(r). Let a(y) = y + 1. Let f(u) = -5*a(u) + n(u). Let s = 7 + -11. Determine f(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 10*c**2 - 8*c - 115. Let q(l) = 3*l**3 - 18*l**2 + 15*l + 227. Let x(z) = -5*n(z) - 2*q(z). Is x(-34) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.2 - 0.2. Let f = 0.57 + 97.43. Let v = 97.9 - f. Which is the closest to s? (a) 0 (b) v (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/2141836 and 139\/768.\nAnswer: 411232512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 3*t**4\/14 - 78*t**3\/7 + 171*t**2 - 2166*t\/7 + 97. Solve n(h) = 0.\nAnswer: 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.8 - 15.8. Let h = 4122.8129982 - 4135.813. Let b = h - w. Round b to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 918168043?\nAnswer: 13, 29, 14411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - 6971663683.\nAnswer: -6971663683.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5870 + 3160 + 2510*z - 2527*z.\nAnswer: -17*z + 9030","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 99*n**2 - 580*n + 5. What is the remainder when d(6) is divided by ((-1)\/2)\/(2\/(-28))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, n: 1, k: 6, m: 4, l: 3, h: 1}. What is prob of sequence th?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26.4 * 0.5.\nAnswer: 13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x**2 + 2*x**4 + 2*x**2 - 3*x**4 - x**3 - 3*x**4 to the form p*x + l + z*x**3 + b*x**4 + u*x**2 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 101*i - 2420. Let v be f(-62). Let b(p) = 3*p**2 + 2*p + 4. Let w(k) = 3*k**2 + k + 4. Let x(u) = -4*b(u) + 3*w(u). What is x(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 393 and 11575506.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15ec36 + 1f?\nAnswer: -15ec17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12.851? (a) -3 (b) 5 (c) 1 (d) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5\/((-3)\/480*-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*r**5 + 1355551*r**3 - 110*r**2 - 69798.\nAnswer: 300*r**2 + 8133306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, x: 2, n: 12}. What is prob of sequence nz?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107917?\nAnswer: 311, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/392291 and -1\/472079?\nAnswer: 27852661","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5140 + -5118. Let i(o) = 7*o - 160. Calculate i(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 times 17648.544?\nAnswer: -705.94176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 plus 92292906674?\nAnswer: 92292906643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -93147809.9113 - -0.34\nAnswer: -93147809.5713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3335 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - s - 212 = 0, -3*b - 34 = -4*b - 4*s. Suppose -2*d - 612 = 4*o - 6*d, 6 = -2*d. Let h = b - o. What is the greatest common factor of 22 and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 106 = -16*q. List the prime factors of (-9)\/4*(-249 - q).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 6*i**2 - 7*i + 2. Let g be p(7). Suppose 3*o - 11 = -g. Let y(q) = q + 5. Let d be y(5). Solve o*l - 1 = -d for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mof when three letters picked without replacement from fogffmo.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 5*r + 6*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 1 - 4 + 1 - 322*b - 1 to the form k*b + a and give k.\nAnswer: -322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1084.27 or -5?\nAnswer: -1084.27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*a - 14 + 14.\nAnswer: 13*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3\/2)*(y**0\/y)\/y)\/(y**(-10))**(-2\/19) assuming y is positive.\nAnswer: y**(-173\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*m - 118956 = -75*m. What are the prime factors of m?\nAnswer: 2, 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11200 - -2?\nAnswer: -11121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, c: 1, l: 1, w: 2, x: 1, z: 1}. Give prob of picking 1 x and 1 l.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/5 - 44*p**2\/5 + 48*p.\nAnswer: 2*p*(p - 12)*(p - 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 7*w + 8 = -4*p, -2*w - 14 = 4*p. Let b(l) = l**2 - 1. Let q be b(w). Suppose 4*x = q + 56. Does 3 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 2*d**2 + 13*d. Let s(u) = -2*u**2 + 5*u + 6. Let k be s(4). What is the tens digit of y(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u + 2. Let b be f(0). Suppose 0 = b*d + 2*d - 40. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*g + 78 = -88*g. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10192934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 92*x - 1366. Give c(6).\nAnswer: -814","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - 5*r - 6. Let i be y(-4). What is the units digit of (1 - -1 - i) + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 322198150, 322198149, 322198148, 322198147, 322198146?\nAnswer: 322198145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.535295 take away 4187651?\nAnswer: -4187652.535295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**5\/10 + i**4\/12 - 3*i**2. Let s(f) be the second derivative of -f**4\/2 - f**3\/3 - 5620*f. What is 6*b(u) + 7*s(u)?\nAnswer: -6*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 161013184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 449 and -4?\nAnswer: -1796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -9 + 9854\/14 + (-1)\/(-7).\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82177 is divided by 70.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 364*s + 361*s + 4 = -32, -5*s - 5 - 75 = 5*n for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 + 26*g + 87. Let m be n(-6). Let z(h) = -h**3 + 6*h**2 + 2*h. Calculate z(m).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 560, 1499, 2438?\n\"Answer: 939*l - 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/78 - (-221235)\/44590.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vwwpwvrevpww. Give prob of picking 1 v, 1 p, 1 e, and 1 w.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of a**5\/20 + 13*a**4\/8 + a**3\/3 - 9*a**2 - 10. What is the units digit of h(16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + 12997200805.\nAnswer: 12997200804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Is 9853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2 - 3*v**2 - 4*v**2. Let y(f) be the third derivative of -2*f**2 + 0*f + 0 + 0*f**3 + 0*f**4 - 1\/30*f**5. Calculate y(p(c)).\nAnswer: -50*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + l - 977, 5*v - 3*l - 2437 = -0*l. Suppose w + 7*w - v = 0. What are the prime factors of w?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -4*q. Let a(m) = -38*m**2 + 14366. Determine i(a(o)).\nAnswer: 152*o**2 - 57464","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 638688*k - 3 + 8 - 5.\nAnswer: 638688*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -22326, -26400, -30474, -34548, -38622, -42696?\n\"Answer: -4074*i - 18252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dwwddddddddd. Give prob of sequence wd.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86433.\nAnswer: 3, 47, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -112 - -85. Is j <= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -38, 34, -1, 4, -2 in decreasing order.\nAnswer: 34, 4, -1, -2, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 + 7 = -19*s. Let c(v) = v**3 + 5*v**2 + 3*v + 1. Let h be c(s). Let z(w) = -w**2 - 8*w - 4. Let g be z(-8). Sort h, 3, g, 0 in decreasing order.\nAnswer: h, 3, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -0.347655\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.612 - -0.088. Let u = 3.700019 - q. What is u rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11020022 - -220212000?\nAnswer: 202121201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6226615 by -3.\nAnswer: 6226615\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k**2 - 2*k + 2. What is the remainder when g(-2) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 7*y**2 + 2*y. Let u(x) = -28*x**2 - 9*x. Let r(h) = -9*p(h) - 2*u(h). Let q(k) = k. Give r(q(s)).\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q - 10 + 2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3056*v + 15279. Let l be d(-5). Sort l, 5, 0, 71 in decreasing order.\nAnswer: 71, 5, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 133*k - 12948. Determine b(99).\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 smaller than 226\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 349877?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*t - 25 = 34*t + 3*k, 5 = -t - 3*k for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 462875, 462892, 462899, 462890, 462859, 462800?\n\"Answer: -r**3 + r**2 + 21*r + 462854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-6) + (-94)\/(-6). Suppose -w = z - 6, 0 = -w - 4*w + 2*z + d. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -622, 0, 1688, 4976, 10398?\n\"Answer: 89*f**3 - f**2 + 2*f - 712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 2) + (12 - 7) - (-285 - -280).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -321084624 by -56.\nAnswer: 5733654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 5*p + 3. Let u be x(6). Let j = -45 - u. Let m = j - -48. Solve 4*h = -i + 3*i - 6, m = i + h for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**2 - 3*g - 4. Let b be l(3). Let v(x) = 2*x - 2. Let j(f) = -f + 1. Let k(h) = 7*j(h) + 3*v(h). Let u(r) = 6*r - 5. What is b*k(y) + u(y)?\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 - u**2 - 3 + 2 - u)*(8*u**2 - 719 + 719).\nAnswer: -8*u**4 - 8*u**3 - 8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/(r\/r**(-9)))\/r)\/r)\/r)\/(r\/(r*r**10*r*r))*(r**(2\/3)*r*r)\/r**(4\/11) assuming r is positive.\nAnswer: r**(76\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -6*h + 1. Suppose -2*g - q = -3*q + 16, 0 = -3*g + 4*q - 28. Is z(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.087 - 0.913. Let q = -13 - -1. Let i = q + 7. What is the second biggest value in i, v, 2\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4538 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/236004 and 23\/26?\nAnswer: 3068052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 5*h - 0*w - 744, 4*h - 2*w = 594. Are h and 151 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away 73253?\nAnswer: -73256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 23*h + 2. Let b(q) = 646*q + 57. Let r(d) = -2*b(d) + 57*w(d). Let k(z) = 2*z**2. Calculate r(k(o)).\nAnswer: 38*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1680*t + 18560 = -234*t + 709*t + 165*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*r - 2*r**2 + 0*r**2 + 2*r.\nAnswer: -2*r**2 - 61*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1110013302 + -10322?\nAnswer: 1110002320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 21 + -17?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**4 - 255*n**3 - 507*n**2 - 253*n = 0?\nAnswer: -253, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.49 + 11.99. Let q = -78163757 + 78163763.5000114. Let c = x - q. Round c to 6 decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4969 * -0.2.\nAnswer: -993.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*j = 2*j, 2*y = 2*j + 28. Suppose 2*k - y = 8. Solve 5*v = -4*w - 15, 3*w - v = -25 + k for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1303693789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 5623082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 18*t**2 - 25*t + 71. Determine k(19).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -548 divided by -548\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.03 (b) 1201 (c) 1 (d) 2\/11 (e) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -35*z + 838. What is x(24)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2392 and 1288?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2161816 is divided by 270218.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**2 - 2090750*k - 218561778125 = 0. What is k?\nAnswer: -209075","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88117.64ng to milligrams.\nAnswer: 0.08811764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23.907 + -0.093. Which is bigger: -2\/9 or l?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1322 (base 4) to base 9.\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 101 + 5?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9926 is divided by 821?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 129234 and 2856.\nAnswer: 516936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 9*p**2 + 9*p - 7. Let o be h(-10). Suppose 3*z = -o*u - 3 - 6, 4*u - 13 = z. Determine w, given that -2\/3 + 2\/3*w**u + 0*w = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zxzzzxzzz. What is prob of sequence xxz?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 364 - 238. Suppose -3*y + 2*u = -8*y + 6, 0 = -5*u - 10. Suppose 4*h = y + 2, -o = h - 12. What is the remainder when w is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 87\/(9135\/150) + (-1)\/7. Which is the second biggest value? (a) 8 (b) -2 (c) o (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -16. Let q(j) = j**3 - 7*j**2 + j + 2. What is the units digit of q(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10373*j**4 - 2519*j wrt j?\nAnswer: -124476*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + -11. Let r = -19 - z. Let a = 0.153 + 24.847. Which is greater: r or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415310 is divided by 415202?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -2*d + 4, 2*j - 3 - 3 = -3*d. Suppose d + 5*c**2 + 16*c - c**2 + 14 = 0. Calculate c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-23409)\/9537*110\/(-195)\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10a (base 13) to base 11\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3142794 and 12720.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 596, -121, -1, -26, 3 in ascending order.\nAnswer: -121, -26, -1, 3, 596","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (1 - (-4 + 0)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1558.9 + -1560. What is the nearest to w in 30, 2, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12872 to two dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of w**4\/36 + 16*w**3\/27 + 5*w**2\/6 + 564. Let u(t) = 0. Calculate t.\nAnswer: -15, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -11992, -11994, -11996, -11998, -12000, -12002?\n\"Answer: -2*t - 11990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -q**4\/24 + 5*q**3\/6 - 2*q**2. List the prime factors of m(-12).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(2 + 0 + -4). Let t be (1 + 0)\/(c\/4). Sort t, 0, -2 in increasing order.\nAnswer: -2, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -2*c - 14, 8*c - 3 = -n + 7*c. Solve 3*v = n*v - 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 823*c - 36491. Calculate x(44).\nAnswer: -279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 2.7 (c) 2\/51 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 35 = -4*s, 8*w + 5*s = 11*w - 34 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 10, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 230010 and 102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - w**2. Let k(j) = 3*j**3 + 2*j - 3. Let z = 18269 + -18270. Determine z*k(i) + 2*v(i).\nAnswer: -i**3 - 2*i**2 - 2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/24 and -37\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xhmgghmmhhhxg. What is prob of picking 2 x and 1 g?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002792295 rounded to 6 decimal places?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -223*z + 3877. Give o(25).\nAnswer: -1698","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 2*m - 2. Let s be (-32)\/(-256) - 178\/16. Let y(u) = -6*u**2 + 11*u - 11. Let j(k) = s*q(k) + 2*y(k). Let h(b) = -2*b**2 - 17. Give h(j(p)).\nAnswer: -2*p**4 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 w when three letters picked without replacement from {b: 3, w: 3}?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 119369 and 2370.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1169064761 to the nearest integer?\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -5153.\nAnswer: -5155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 - 13\/((-26)\/816). Let w = 164 + c. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-633*b + 108*b**2 + 633*b)*(-11*b**3 + 20*b**3 + 4*b**3 + (-2 - b**3 + 2)*(2 - 3 + 2)) + 6*b**5 - 4*b**5 + 0*b**5.\nAnswer: 1298*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -7898409859577 take away 3?\nAnswer: -7898409859580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 297*c**3 - c**2 + c + 1. Let b be n(-1). Let z = -201 - b. Suppose -3*u - 13 = -z. What is the highest common factor of 4 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321601 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 4*y + 7. Let u be n(-5). Suppose v = 21 + u. Calculate the highest common divisor of 11 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -458 + 692. What is the highest common factor of d and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(4\/11)*((k\/(k**17*k)*k)\/k)\/k*(k**(1\/2))**(-2\/63) assuming k is positive.\nAnswer: k**(-12233\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 1. Let f = s + -2.8. Let j = -5.12 + 0.12. Which is the nearest to 1? (a) f (b) -1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 484 and 16?\nAnswer: 1936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-675)\/400)\/((-3)\/548)*4?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = i - 14*q - 25, -4*i + 4*q + 20 = 0. Solve -7*o = -i*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*3*(sqrt(98)*1 + sqrt(98)) + 0)**2.\nAnswer: 127008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64139?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -16, -112, -376, -892, -1744, -3016?\n\"Answer: -14*s**3 + 2*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = w - 8, 9 = -w + 2*h - 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-8)\/(-32) + (-720639)\/(-36)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82663513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3080*h - 2967*h - 4407 = 0 for h.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -66*p - 90*p + 101 + 2395 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**2 + 2 - 2)*(0*c**3 + 6*c**3 + c**3) - 2*c**2 - 5 - 2*c**3 + 2 + 6 + 2*c**5.\nAnswer: -19*c**5 - 2*c**3 - 2*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*b - 4 - 5 = -3*r + 125*b, 10*r - 4*b = 12 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g - 6*g**3 - 5*g**2 + 4*g**3 + 5 + g**3. Let y be q(-5). Suppose n - 4*l = -15, 0 = -3*l - 2*l + 20. Which is smaller: y or n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -180 - -186. Let z(h) be the first derivative of 0*h - 27\/4*h**4 - 3*h**2 - 5 - 1\/2*h**n + 7*h**3 + 3*h**5. Factor z(a).\nAnswer: -3*a*(a - 2)*(a - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(304) + -1 + -1 + 1*sqrt(304))**2.\nAnswer: 16*sqrt(19) + 1217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 + 39. Let z = -17 + 14. Let t be (0\/(-1))\/(5 + z). Sort t, x, 4 in ascending order.\nAnswer: x, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, z: 2, w: 2, k: 4, n: 1, d: 3}. What is prob of sequence kd?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10495 (base 10) to base 8\nAnswer: -24377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**2 + 80*m - 67. Let a = -14157 - -14196. What is f(a)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*i**5*y - 6*i**5 - 41*i*y + 9*y wrt i?\nAnswer: 60*i**3*y - 120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9 - (61568\/2568 - 15))*(-150)\/8. Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4179314 + 5860815. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4928\/126 - 39)*9 + 7\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2705.\nAnswer: 5, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 63 (b) 29 (c) -37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7551329 - 15*j**2 - 7551329.\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -10*f**2 + 1. Let j(r) = 19*r**2 - 1. Let m(t) = -5*i(t) - 3*j(t). Differentiate m(l) wrt l.\nAnswer: -14*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16340 divided by -8170\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l**2 - 128*l + 100. Let q be n(-65). Let x(o) = o**3 + 31*o**2 + 31*o + 26. What is x(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*g - 89*g - 3*r + 11 - 50 = 0, 0 = -2*g + 5*r + 23 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13490, 13488, 13484, 13478, 13470, 13460?\n\"Answer: -u**2 + u + 13490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 - i**3 + 2*i**2)*(-3*i + 4*i**2 + 3*i) - 2*i**5 - 1 - 1 + 0*i**5.\nAnswer: -6*i**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 5*l - 1940 = 0, 5*a + 3*l + 1455 = 2*a. Is -482 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -601452655 by -1351579.\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*p**2 + 41*p + 9883 - 11617 + 126*p + 5521 wrt p.\nAnswer: -6*p + 167","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-14)\/(-10) + -2)\/((-3)\/15). Suppose -g*f - 3 = -5*y, -4*f = -3*y - 0*f - 7. Suppose -11*k = k. Solve y*v + 3*x + 18 = k, -4*v = -5*x - 4 - 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4201 divided by -32?\nAnswer: 4201\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 48563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -235391.78 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -645, -1891, -4275, -8367, -14737, -23955, -36591?\n\"Answer: -95*x**3 + x**2 - 584*x + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/3)*a**(3\/17)*a*a**(-3)*a*a**(-2\/13)\/a assuming a is positive.\nAnswer: a**(-869\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2179871?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -0.5, 4\/3, -4, -280?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/792 and 19\/8?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -11, 1, 17, 37, 61, 89?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 20 = 3*t. Find the second derivative of -2*f**4 - 12*f**t - 6*f**4 + 5*f wrt f.\nAnswer: -240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 21*x - 31. What is f(3)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 0*l - 2\/3*l**3 + 2 + 2*l**2. Factor n(g).\nAnswer: -2*g*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 l, and 1 u when four letters picked without replacement from {y: 7, l: 1, i: 2, f: 4, u: 4, o: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 23, -46, -185, -418?\nAnswer: -769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ateeagoteatattgeneeg. What is prob of sequence eeg?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 8 = 2*k. Suppose -9*v = -11*v + k. Determine p so that -2\/3*p + 0 - 8\/3*p**v = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58094142?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.8 - -3.1. Let j = 1.1 - s. What is the nearest to -1 in 0.2, -0.1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (334 - 278) + -31 + -11.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k**3 + 2*k**2 - 5*k + 4. Determine r(-3).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -8*l**3 + 2*l**2 - 4*l + 2. Let w be t(1). Let c(h) = -h**2 + 6*h - 7. Let m be c(11). What is the tens digit of (m\/4)\/((9 - 7)\/w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*g**4*n - 588*g**3*n + 57*g + 89*n - 5381 with respect to g.\nAnswer: 28*g**3*n - 1764*g**2*n + 57","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1176)\/224*(120\/(-35))\/(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2931, -11960, -27017, -48108, -75239?\n\"Answer: -k**3 - 3008*k**2 + 2*k + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 17*a - 112. Let d be i(22). Sort 0, -4, d, -20.\nAnswer: -20, -4, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-2)\/((-6)\/(-3)))*0\/(-156)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -105 + 108. Suppose -16*d + n = -15*d. Solve r + 2*r - d = -3*s, -4 = 2*s + 5*r for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 84313600?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n - 6*n + n)*(-1 - 3 - 1)*(4 + 2 - 4) to k*n + i and give k.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n. Let z(g) = g**2 - 3*g - 3. Let a(m) = m**2 - 2*m + 3. Let l be a(2). Let y(k) = k**2 - 4*k - 4. Let j(i) = l*y(i) - 4*z(i). Give p(j(b)).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -9*f**2 + 36*f - 3. Let c(u) = -25*u**2 + 109*u - 8. Let l(b) = -3*c(b) + 8*z(b). Let r(o) = 2*o. Give l(r(y)).\nAnswer: 12*y**2 - 78*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7 - (7 + -4) - -6. Suppose 18 = -c + 5*t, 0 = -3*t - 2*t + 25. Solve -c*d = -9*d + p for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 3*g + 7, l - 8 = -2*l - 2*g. Suppose -c = -l*c. Suppose 0 = 2*p + 2*d - 4, p = -2*d + 2. Solve c = -4*y + 4*j + 8, y - 4*j - 4 = -p*j for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-21)\/35 - ((-52)\/(-10))\/(-2). Solve -5*x - 15 = -w*b - 2, 4*x = -2*b + 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/2 + 151*a**2 + 5136*a + 31680.\nAnswer: (a + 8)*(a + 30)*(a + 264)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from skrshikw. Give prob of sequence rhsk.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.743*0.4.\nAnswer: -0.6972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -639, -8 in increasing order.\nAnswer: -639, -8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4\/5 - 58599*v**3\/5 + 381479472*v**2\/5 - 827301463296*v\/5 - 2485339287552\/5.\nAnswer: 3*(v - 6512)**3*(v + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v. Let o(q) = -q. Let h(n) = -o(n) - r(n). Let d = 35 + -26. Let j(c) = -4*c + d*c - 10*c. Give h(j(w)).\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 2124300 to the nearest ten thousand.\nAnswer: 2120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jh when two letters picked without replacement from zhzohjzzhz?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -5*j - 11. Which is the closest to -1? (a) j (b) -0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 246.96438 + 0.26562. Let y = t + -247. Put -0.1, 0, y in ascending order.\nAnswer: -0.1, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 3*u - 5*u + 17, -61 = -5*s + 2*u. Calculate the remainder when 47 is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 9*v + 4. Let f be p(7). Let j be 232\/5 - (-4)\/f. Suppose -5*t + j = 4*w, t - 6*t = 2*w - 48. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 978744 to the power of 1\/2, to the nearest integer?\nAnswer: 989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 223040609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3504331.\nAnswer: 29, 149, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -11*y - 2. Let r(k) = 58*k + 10. Let z(s) = 16*i(s) + 3*r(s). Give z(10).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 892616 to the nearest integer?\nAnswer: 945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 102470 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 4 (b) 3 (c) -5 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 2*u = 11, -u - 9 = 4*s + 7 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118, -235, -352, -469?\nAnswer: -586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2558, -9993, -22298, -39473, -61518, -88433?\nAnswer: -120218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -433274 divided by -216637\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100000100111011001001000 (base 2) to base 13.\nAnswer: -1a04863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 67059*s**3 - 67056*s**3 + 290*s**2 - 14*s + 2*s - 2184 + 256*s**2 = 0?\nAnswer: -182, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2. Let p(k) be the second derivative of -5*k**4\/6 + 3*k + 11. Calculate p(i(m)).\nAnswer: -10*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 8*i**2 + 2*i + 1. Let f(u) = u**3 + 9*u**2 + 7*u - 9. Let q be f(-8). Calculate s(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000484367 to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/25 less than 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000813737955 rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117 = 5433*a - 5446*a for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6835728 kilometers to centimeters.\nAnswer: 68357.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 48 = -5*o + 99, -12 = 4*o. Calculate the highest common factor of 117 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 153119\/33 + -4638. Calculate the common denominator of w and 1\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 809*(3 - 4)*58\/12. Let u = b - -3928. What is the common denominator of -33\/7 and u?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 138 + -83. Let a = o - 276\/5. What is the second smallest value in a, -3\/7, -3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -230*f + 75 + 1028 + 47. Let i be -8*3*(-2)\/4. Solve -f*u + i = -8*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 452*t - 404*t - 340 + 1972 = 0 for t.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from {n: 8, u: 2}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1265*z - 1228*z - 535686. Is 19 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 278, -6, 1, -2, -0.04, 4?\nAnswer: 278","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 43804328 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 975 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of z**3\/3 - 3*z**2 - 2*z + 1. Let w = -1413 + 1419. Give y(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13285887?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -257 (base 15) in base 2?\nAnswer: -1000010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 6*s - 2. Let a be o(5). Suppose 0 = -4*v + a*b + 44, -b = v - 4 - 7. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -12 (b) -0.5 (c) -568\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12.4 + -0.6. Let q = b + 12.997. Let c = -0.158 - q. Round c to two decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 655248 and 12045?\nAnswer: 3276240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 30 = 3*u. Let i = 13 + u. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 2:41 AM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 214157321 by -5.\nAnswer: -214157321\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/53 and 55\/7.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**4 - 310*p**3 + 1480*p**2 + 11200*p.\nAnswer: 5*p*(p - 56)*(p - 10)*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -28 (b) -4 (c) -2\/13 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 23 = -4*n, 3*t + 11 = -n - n. Let a = t + 9. Suppose a*r - 120 = -r. Is 12 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2618\/6757 and -9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 11:06 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of 3*i**8\/11200 + i**7\/6300 - i**6\/400 - i**5\/300 + 5*i**4\/12 - 4*i. Let h(n) be the third derivative of z(n). Factor h(r).\nAnswer: (r - 1)*(r + 1)*(9*r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.93 + -0.32. What is c rounded to 0 decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 164.93 - 167. Let d = -0.12 - -0.19. Let p = j + d. What is the second smallest value in -3\/2, p, -2\/7?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*x + 2395 + 1610 = 0, 3*x - 16095 = -4*i. Round i to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s**4\/2 - 77*s**3\/2 + 270*s**2 + 36936*s - 723168 = 0. What is s?\nAnswer: -31, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000018426 to 6 decimal places.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*h + 4*o + 73, -o = -3*h + 164. What is the second derivative of h*w**2 - 24*w - 38*w + 2*w wrt w?\nAnswer: 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((6 - 6 + 6*u)*(5 + 0 - 3) + 3*u + 2*u - 12*u)*(3*u - 2*u - 3*u) + 3*u**2 - 11 + 11 to the form j*u**2 + f + t*u and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g + 15. Let x be n(4). Let i = x + -6. Suppose -1 = i*d - 4*k + 11, 0 = d + k + 6. Let r(b) = -b - 1. Calculate r(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1 + (-1 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -f**2 - 761*f**4 + f**2 - 3559 + 2289 - 908*f**4 wrt f.\nAnswer: -6676*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -769*m**4*x - 14*m**4 - 5*m**3*x + 4*m**2 - 380844*x wrt m?\nAnswer: -18456*m*x - 336*m - 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -5 - 9*b**2 + 3 - 2 + b**3 + 1. Let f be j(8). Let l = -18 - f. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 144050\nAnswer: -576200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4*u = -8, 32 = 5*m - u - u. Factor -m - 36*q**2 + 27*q + 15*q**3 + 2 - 2.\nAnswer: 3*(q - 1)**2*(5*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, -2, -42, -118, -242, -426?\nAnswer: -682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1373, 1499, 1709, 2003, 2381, 2843, 3389?\n\"Answer: 42*v**2 + 1331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-1))\/(-2 - -1). Let q = 0.2536 + -602.3536. Let o = q - -602. What is the smallest value in o, i, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*k = 60*k + 150. What is the remainder when 174 is divided by k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1590 = 5*j - 5*o + 3*o, 2*o = 2*j - 630. Suppose 20*c = 15*c + j. Let l = -58 + c. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/(-90))\/(3968\/220 - 18). Which is bigger: u or 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48848.3 minutes in microseconds?\nAnswer: 2930898000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 6*m + 7. Let u be -1 + -13 + 2 + 2. Let k = -15 - u. Let a be r(k). Solve 3*h - h - 3*z + 14 = 0, a*h + 10 = 2*z for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63952 is divided by 236?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 13*q + 4. Give c(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 57 + 43. Suppose -5*i = -3*h - 281 + y, h = i - 50. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) - (sqrt(24) + sqrt(24)*2))\/sqrt(8) + (sqrt(3) + sqrt(9)\/sqrt(3))*5 + sqrt(6)\/(-2*-1*sqrt(2)).\nAnswer: 17*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 1:57 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-13129893.\nAnswer: 5251957.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2*i = -10, -4*i + 4 = -v - 1. Let l(p) = -p**2 + 7*p - 3. Let y be l(7). Put y, v, 2 in ascending order.\nAnswer: v, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -4*j**2 + 2685226*j - 13. What is g(0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2187*r**4 + 159975*r**3 - 482934*r**2 + 68916*r - 2520 = 0. What is r?\nAnswer: 2\/27, 3, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-40) - (3 - 718\/240).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -70130.\nAnswer: 1\/70130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18481, -18453, -18419, -18379?\nAnswer: -18333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.265118437248 + 1425.\nAnswer: 1425.265118437248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-56)\/(-42))\/((-6)\/(-27))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 (base 15) in base 3?\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63707673*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 3)*(-2*x**2 + 1 - 1) + 321*x**2 - 3*x - 37 - 658*x**2 + 336*x**2.\nAnswer: x**2 - 3*x - 37","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 26, 44, 72, 110?\n\"Answer: 5*q**2 + 3*q + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 5*o**3 - 2*o**3 - 2*o**3.\nAnswer: o**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 6*a - 474. Let h = a + 179. Let o be 23 - 2\/2 - 2. Which is bigger: o or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -7 (b) -5 (c) 20\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 + 48. Is 8 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p = -6*p - 9. Suppose -3*u + 4*b + 260 = 0, -2*u - p*b + 0*b = -145. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 5 = -m + 3*l, -4*m - 4*l + 12 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmamommamaa. Give prob of sequence am.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2620.013 + -2617. Let q = i - 0.013. Let a = 0.8 - q. Which is bigger: a or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42833787 is divided by 40.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 3*b - 73553 = 0, -3*b - 36781 = -9*p + 5*p. Is p a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58 - 53. Let w = q + -4.99999982. What is w rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24\/7, -11, -1.301.\nAnswer: -11, -1.301, 24\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**4 + 12*w**2 + 9223*w**3 + 3 - 35*w**2 + 2*w**2 - 52*w**2 - 9221*w**3 to the form g*w**4 + q*w + n*w**3 + j + r*w**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2233*b**5 + b**3 + 27*b**2 - 2*b - 107233 wrt b.\nAnswer: -44660*b**3 + 6*b + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6167 (base 9) in base 8?\nAnswer: -10644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(-1)\/(3\/6). Let l be (k\/6)\/(4\/(-84)). Suppose 0 = 2*g - o - l, -g + 0*o + 12 = 2*o. What is the smallest common multiple of 22 and g?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.2? (a) -3.98 (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-357)\/56*12\/3*(-86)\/129\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.26 + 0.06. What is n rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c + 7. Let p be d(5). Suppose -q + 64 = 2*v + v, -p*v + 39 = -3*q. What is the remainder when v is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 6.5. Let o = x + 1.8. Let l = 11 - o. Round l to zero dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3474, -15596, -38998, -76296, -130106, -203044?\nAnswer: -297726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 9:42 AM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*j - 29*j**6 - 6*j**2 + 13*j + 9*j wrt j.\nAnswer: -3480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170389.\nAnswer: 170389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 2d4b?\nAnswer: 2d49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (16\/2 - 5) + 28 + -6. Suppose 1844 = q*v - 1756. What is the remainder when v is divided by 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002259299 rounded to five decimal places?\nAnswer: 0.00226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -17. Suppose z - 4*z - 5*v + 68 = 0, -2*z - 5*v + 47 = a. What are the prime factors of z?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 2423422233?\nAnswer: -2423422230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/562 at least as big as -140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12184 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 divided by 1141739?\nAnswer: -76\/1141739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1103 - 1086 + 7218*t**5 + 2187 - 517*t - 1069*t wrt t.\nAnswer: 144360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 69, -48048 in decreasing order.\nAnswer: 69, 2, -48048","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5643.\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 39405 greater than 39440?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 171829?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -13347 smaller than -13347?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/6)\/(6\/(-18)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 185 - 265. Let m = 0 - k. Suppose 0 = r + 5*y + 9, -5*y - 23 = -4*r + 66. Calculate the highest common divisor of r and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 6:23 PM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5494 + -8712. Which is smaller: -0.1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/(-11) + 6 + -1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dcdeetctctgpdepgp. What is prob of picking 2 d and 1 p?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 67 = p, -5*h + 8 = 5*p + 363. Let d be (-5 - 0)*p\/(-30). Let m = d + 33. Does 7 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sisi when four letters picked without replacement from kdspddiphhdipis.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 13 + 7 = 0. Solve 3*t + c + 4 = 3*c, -3*t - s*c - 9 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -171541, -343299, -515057, -686815?\n\"Answer: -171758*z + 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 85 + 62. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15267525093453.2 + 0.3?\nAnswer: 15267525093453.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 710841750?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mhmh when four letters picked without replacement from {p: 4, u: 6, m: 2, h: 6}.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4 - 8 = 0. Suppose 5*b - 7*v + 2*v = -455, -3*v = -b - 81. Let l = b + 670\/7. Sort 0.5, s, l in decreasing order.\nAnswer: s, 0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7a2187 (base 12) in base 11?\nAnswer: 1114262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((-3 + 2*sqrt(5000) - sqrt(5000) - (0 + sqrt(5000) + -1)) + -4 + ((sqrt(5000) + -5*sqrt(5000) - sqrt(5000))*-5 - sqrt(5000))))**2.\nAnswer: -57600*sqrt(2) + 11520144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4091503055 to 4 dps.\nAnswer: 0.4092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**7*y*y*y\/y**(-8)*(y\/(y\/(y**(-1)*y)))**37)\/((y*((y*y**(-3\/5))\/y)\/y*y)**0)**(-3\/7) assuming y is positive.\nAnswer: y**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88 and 4?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*z**5 - 30962653*z**4 + 7*z**2 + 23*z - 34521 wrt z?\nAnswer: -120*z**2 - 743103672*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1829.204933 + -1829.3. Let s = i - -0.095. Round s to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + -0.1. Let u be (7 - 7 - 1)\/(-1). Let k be (2\/(-1))\/1 + 1. Which is the closest to q? (a) k (b) u (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1)\/l**(2\/21)*l\/(l\/(l**6*l))*l\/(l\/l**(-6\/5)*l) assuming l is positive.\nAnswer: l**(389\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 k, and 2 a when four letters picked without replacement from bababbhakbbh?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 161*u**2*v + 2434*u**2 + 2*u*v + 2646490*v with respect to u.\nAnswer: 322*u*v + 4868*u + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 501521 (base 7) in base 13?\nAnswer: 2c6a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -b**9\/252 - 13*b**7\/210 + 13*b**6\/30 + 13*b**5\/60 - 25*b**3\/2 + 2698*b**2. What is the third derivative of t(s) wrt s?\nAnswer: -240*s**3 - 312*s + 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*u + 4*k + 6 = 0, 2*k = 6. Suppose -t - 4*s = -8*s - 23, t - 3*s = u. Suppose 22 = 2*m + y, -t*m = -8*m - y + 55. Is m 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 1777?\nAnswer: 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16830354?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -92 - -95. Suppose -12 = 2*q - 0*q. Let l = q + f. Which is the third biggest value? (a) -1 (b) 1\/4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 11489785, -4 in increasing order.\nAnswer: -4, 0, 11489785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2102 - 1032 = -s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -3, 4, 2, 3, 52, -2 in descending order.\nAnswer: 52, 4, 3, 2, -2, -3, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 961078627 to the nearest integer?\nAnswer: 31001","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92, 98, 114, 146, 200, 282?\nAnswer: 398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/40 of a millisecond?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86467?\nAnswer: 86467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 185 = -179 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5400020 - -20) + 0\/2. Round k to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-2 + 4 - -2) + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37 and 72594?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -761 = 26*p - 579 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/252 and -11\/7380?\nAnswer: 51660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15634, 15335, 15036, 14737, 14438?\nAnswer: 14139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 5*o**2 - 8*o + 9. Let j be l(6). Let f = 2.1 + -2. Let c = -1.1 + f. What is the closest to c in 0.2, 2\/19, j?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*q + 6 = 6*c, 2*q = -5*c + 10. Let s(j) = j + 2. Let m be s(3). Suppose 2*f + f = m*y - 258, -f = -c*y + 103. Is 17 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 11:21 AM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5887, -12011, -18119, -24211, -30287, -36347, -42391?\n\"Answer: 8*r**2 - 6148*r + 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 687da?\nAnswer: 687dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 713 or 686?\nAnswer: 686","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 551 (base 6) to base 2\nAnswer: 11010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = 4*x, -j - 4*j + 86*x = 91*x - 70 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 divided by 55?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -82 + 82.1. Which is the closest to 0.1? (a) s (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.502809 to three dps.\nAnswer: 0.503","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + y. Suppose 5*i - 5 = y, i - 25 = -2*f - 2*i. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188678 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 k be (6\/5)\/(27\/(-360)). Let a = -16 - k. Put 5, a, 0.4 in decreasing order.\nAnswer: 5, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 6:12 PM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2048521\/162393 - 30\/54131. Let k = -96\/19 - i. Calculate the common denominator of k and 39\/29.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q + 194 = 25*q - 238 for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 188 = 116. Suppose -t = -0*l - l. What is the highest common divisor of 225 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 56*n - 1730. What is v(30)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -10*y**3 - y**2 + y + 1. Suppose 4*o + 3 = -1. Calculate the remainder when b(o) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127053 is divided by 31554?\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (21\/6)\/(1\/(-2)). Let t = 13 + w. Let p be -2 + -2 + 18\/3. Solve -p*k + t = k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*o + 6384 = 11*o. Let l = -262 - o. Does 64 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -0.02, 4, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -125*c + 47*c + 65 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 13*t. Let w(s) = 3. Let l(m) = 8*m + 8. Let r(c) = -l(c) + 3*w(c). Determine r(x(y)).\nAnswer: -104*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 1.97?\nAnswer: 3.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/357471 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 1, -3746133 in ascending order.\nAnswer: -3746133, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -8*d + 3*d + 127*d**2 - d**3 + 4*d - 124*d**2 + 2*d**3. What is q(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 4:27 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-1 + 3\/2). Suppose 4*a + 4*p = 4, y*a - 3*p = -p + 16. What is the greatest common factor of 33 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**4\/6 - 141989*m**3\/2 - m**2\/6 + 141989*m\/2 = 0 for m.\nAnswer: -1, 0, 1, 425967","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57434 by 1.\nAnswer: -57434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2 - 23*s - 6. Let h be r(12). Is 11 a factor of h\/(-15) + 6\/(-10) - -122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-2957.88\nAnswer: -8873.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 17.84 * -3\nAnswer: -53.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 667525 (base 9) in base 7?\nAnswer: 3251552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -678, -336, 6, 348?\nAnswer: 690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -204, -405, -602, -795, -984?\n\"Answer: 2*i**2 - 207*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 + -1.2. Let z = -23.3 + 22. Let w = z - j. Put w, -2\/9, 2 in ascending order.\nAnswer: w, -2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 36\/21403?\nAnswer: 36\/21403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*n = 10*n + 241043. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*o**2 + 6*o**2 - 4*o**2)*(23 - 13*o**2 - 23) in the form i*o**3 + u*o**4 + x*o**2 + s*o + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6793354 = -605*a + 6775092 + 8403339. What is the ten thousands digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 222\/(-24) + 8 - (-5)\/4. Let c(s) = -31*s + 3. Let z be c(q). Factor 1\/5*j**2 + 1\/5*j**z + 0 + 0*j.\nAnswer: j**2*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 203432360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -33 + -64*1\/(-4)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + v - 5*v)*(-4 + 2 + 1)*(-35 + 5*v + 35).\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (7868\/3)\/((-22)\/(-99)) - -6.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 - 1\/(44\/1760).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t**3 - 63*t**2 - t + 25. Determine d(-21).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -324371.61 - -324388.9099786. Let u = -17.3 + t. What is u rounded to 6 decimal places?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.271 and -1.092?\nAnswer: -0.295932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -125, -1, -2\/355, 0.1, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4364 + 3*u**5 + 54*u**3 - 4364 - 5*u**4 + (-u**5 - u**5 + 0*u**5)*(0 + 4 + 0).\nAnswer: -5*u**5 - 5*u**4 + 54*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -251 divided by 17809.\nAnswer: -251\/17809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o**2 + 14*o - 239. What is the hundreds digit of q(14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - -111. What is the remainder when l is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + -26. Let p be (-68)\/g + (-1)\/(-2). Find c, given that p*c**2 + 20*c**2 + 4*c**4 + 16*c**4 + 20*c + 4 + 4*c**5 + 11*c**2 + 40*c**3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o - 1. Let y(s) = 6*s - 1. Calculate -10*u(k) - 2*y(k).\nAnswer: -2*k + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - (-2 - -5))*-1. Let q(y) = -y**3 - y - 4. Let c be q(-2). Suppose -5*z + 4*r = -f*z - 1, c = 3*r. Solve 12 = z*h + h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from aaanaaaaaaaaa.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 i when two letters picked without replacement from {i: 1, q: 7, f: 3, d: 4, w: 4}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 118 divided by 5226\nAnswer: 59\/2613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 3, -2*l - 4 = -4*s - 2. Let r be (s - 76)*2\/(-4). Let n = r - 22. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 786 is divided by 768?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7, 58, 195, 460, 895?\n\"Answer: 7*m**3 + m**2 - m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 1)\/(2\/6). Let h = 100 + -98. Solve 0 = -2*f + 5*w - 5, c*w - 24 = h*f - 5*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 12 + 12. Suppose -2*n - j = -3*o, 3*n - 1 = o - 3*o. Let u(s) = 31*s**2 - 4*s - 1. List the prime factors of u(o).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 5*r**3 + 171*r**2 - 5*r - 171 = 0.\nAnswer: -171\/5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 3:13 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/1)\/13*(68 + -71)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19 and -46?\nAnswer: 874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15355 and 7138?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + h + 1. Let g(o) = -24*o**2 - 40*o - 40. What is g(r) + 40*x(r)?\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-2) - 999\/(-6). Let y = j - 35. Let u = y - 76. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -100781165\/11908 - -110024\/13. Find the common denominator of -49\/8 and f.\nAnswer: 1832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -1. What is the nearest to 2 in j, -1\/10, -0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 8*h - 8. Let g be x(10). Let d be (-54)\/g*8\/(-6). Is d equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**2 + 5*i**2 + 0*i**2 - 3*i**2 + 4*i**2 - 3*i**2 + (-4*i**2 + 3*i**2 + 2*i**2)*(-5 + 5 - 6) - i**2 + 3*i**2 - i**2.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 4986244.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1220220 (base 7) to base 3.\nAnswer: 21221020100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(228) - (sqrt(228) - sqrt(228)*-3)) + sqrt(228) + sqrt(228) + sqrt(228))\/(sqrt(33)\/(4*sqrt(11)*2)))**2.\nAnswer: 175104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 102 - 210. Let n be ((-3472)\/(-336))\/(1\/15). Let t = s + n. Does 8 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + n**2 + 3. Let v be l(0). Suppose 2 = -x + 6. Suppose 0 = 3*f - 2*h, h = -x*f + v*h. Solve -5*r - y = -f*y - 5, -5*y = 5*r - 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03098? (a) -2\/3 (b) -4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45326, 45372, 45440, 45530, 45642, 45776?\nAnswer: 45932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1083328663263*z - 2*z**3 + 1083328663263*z.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 312 and 2575560.\nAnswer: 2575560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.14 in 0.5, -0.3, -0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -57*i**2 + 15*i + 5. Let t(v) = -29*v**2 + 9*v + 3. Let o(z) = 3*c(z) - 5*t(z). Let q(j) = -10*j. Give o(q(s)).\nAnswer: -2600*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 5*c + 3. Let i(f) = -21*f. Let l(j) = -5*j + 6. Let s be l(2). Let x be i(s). Let w = x - 86. Give a(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 30*i**2 + 62*i - 72. Let k be a(-32). What is the remainder when 8 is divided by 0 + (2 - 3)*k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10, 1\/4, -2\/29?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1536.5 + -2364. What is f rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**2 + 5 + 612*q - 637*q + q**2. Determine c(-25).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, 6\/7, 0.5?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - (2\/(-4) - 6\/(-4)). Sort 2, -2, l, -5.\nAnswer: -5, l, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/48*18\/4. Which is the second biggest value? (a) 49 (b) -0.1 (c) 14 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/(-8))\/(75\/(-200)). Suppose v = -2*v. Let m be j + 10 + v + -3 - 1. Solve -m*g = -11 + 1 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44 + -56. List the prime factors of (-2872)\/j + 4\/(-12).\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*l + 849 = -27*l + 105 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, -2, 3, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a*y**4 + 36*a*y**3 - 3*a*y**2 + 71*a - 2*y**3 - 2 wrt y.\nAnswer: 24*a*y + 216*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2)*((-3)\/4)\/(-3)*(-34114)\/461?\nAnswer: -37\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51\/(-221)*(-2)\/(-3)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = d + 3*p, 0 = -4*d + d + p - 49. Let i be (-9)\/81*(1 + d\/4). What is the biggest value in -2, i, 2\/3, -0.4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -1784?\nAnswer: -1786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -279895*z + 13994754. Calculate c(50).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*d - 3*d = 42 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((p\/((p**(1\/7)*p)\/p)*p)\/p)**(2\/13))**(2\/5))**(-12\/7))**(-4\/17) assuming p is positive.\nAnswer: p**(1152\/54145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25267 + 38207. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/((7 - 3)\/(-4)))\/3. Solve 0 = -z*d + d + 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(2\/5))**(3\/5))**(-4\/15) assuming t is positive.\nAnswer: t**(-28\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -111 + 104. Sort -4, z, 0 in decreasing order.\nAnswer: 0, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 340\/71 + -6811\/1704. Which is smaller: -1\/2 or b?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*i - 573*i - 462*i to o + d*i and give d.\nAnswer: -1013","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 6. Let n be d(0). Suppose 4*z + 3 = 3*x, z = x - n*x + 5. Let w = -6 - -6. Is z < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 w, and 2 x when four letters picked without replacement from {b: 4, x: 5, w: 6, t: 3, o: 1, h: 1}?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 3*t - t)*(0*t**2 + 14*t**2 - 5*t**2 + 2*t).\nAnswer: -18*t**3 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**4\/8 - 321*l**3\/4 - 35607*l**2\/8 - 33705*l\/2 - 33075\/2.\nAnswer: -3*(l + 2)**2*(l + 105)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - g = -3*j + 62, 5*g = -2*j + 38. Suppose 4*q = v - 43, 3*q + 0*v - v = -33. Let f = j - q. What is the remainder when f is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-120)\/(-24) - (-25)\/(-4)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*v + 21*v + 143*v + 10*v as c + r*v and give r.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 178 - 177.901. Round o to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -1) + (140 - 130).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -5*a**4 + 51266480*a**3 - 131412649845990*a**2 + 262825145892560*a - 131412547313045 = 0.\nAnswer: 1, 5126647","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**4 + 2*y**4 + 0*y**4 + (-11*y**4 - 12*y**4 + 5*y**4)*(2 - 1 + 0).\nAnswer: -17*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-109)\/654)\/(87\/18).\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*y + 35. Let h(d) = 5*d - 3. Let k be h(1). What is the remainder when y is divided by -1 + 6 + k\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*x + 189 = 13*z + 51*x, 20 = -5*x for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 6, -6, -0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jlgjl. Give prob of picking 1 g and 1 l.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 8*p - 35. Let f = 458 + -453. What is r(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -48*o**3 + 980*o**2 - 1532*o + 600 = 0.\nAnswer: 2\/3, 1, 75\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 12 - 6 + b - 9 - b**2. Calculate n(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/3)*d)\/d**(3\/2)*d\/d**5*d**(2\/29))**(-46) assuming d is positive.\nAnswer: d**(19067\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 105684764?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -243561 (base 11) to base 12.\nAnswer: -166bab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/12))**(-1\/9) assuming b is positive.\nAnswer: b**(-1\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1198.51 micrometers to centimeters.\nAnswer: 0.119851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 118 (c) -2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 13. Suppose -v = -4*m - g*v - 25, -4*v - 20 = -5*m. Find the second derivative of -f + m*f**3 + 0*f**3 + 4*f**3 - 2*f**3 wrt f.\nAnswer: 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b - 11*b**3 - 2*b**3 + 6*b - 3*b.\nAnswer: -13*b**3 + 7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 585?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4016093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 18.9\nAnswer: 5.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z. Let x(v) = 171*v**2 + 295*v**2 + 100*v**2. What is x(n(o))?\nAnswer: 566*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*d + 9. Suppose -4*x = -7*j + 4*j + 56, 0 = d*j - 2*x - 98. Solve r = 5*r - j for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52 - 63. Let g be (-6)\/(-5 - m) - (1 + -4). Suppose v - 3 = g, -5*r + 45 = -2*v. What is the smallest common multiple of r and 13?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 0*i - 12 = 3*v, -5*i = -2*v - 11 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 15. Let p = -8 - -2. Let d(t) = t**2 + 3*t + 6. Let z be d(p). What is the greatest common divisor of z and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3131 - 4?\nAnswer: -3140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 5*g - 10981 = 0, -23*o + 13754 = -18*o - 3*g. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 times -0.13?\nAnswer: -0.0078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) 1 (b) 22 (c) -4 (d) 3 (e) 254\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (818\/(-4))\/((-8)\/16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*z + 5*k - 126 = -117*z, 3*z + 16 = k for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 2, -3*n + 2*l + 11 = 1. Suppose 0 = 3*z - 1 - n. Let r be z\/((-1)\/1)*0. Solve 4*q + 2*u + 16 = r, 3*u + 2 = 3*q - 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 559622 and 355.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.8288 - -2.1712. Let g = -0.11 - -5.11. What is the closest to 1\/3 in 2, c, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*d = -30. Suppose 0 = f - 5*o - 15, -1 + d = o. What are the prime factors of f?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10.79+2\nAnswer: -8.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 57 = 3*v - 7*l, 4*l = 3*v - 43. Suppose v*w + 1762114883 + 517585117 = 0. What is w rounded to the nearest one million?\nAnswer: -134000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -6*i**2 + 3*i - 92. Let a(l) = l**3 + 2*l**2 - l + 3. Determine 6*a(f) + 2*z(f).\nAnswer: 6*f**3 - 166","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*o - 1)*(-31*o - 2 + 2 + 0*o - 2*o + 8*o - o - o + o + (-o - o + 0*o)*(0 + 3 - 2)).\nAnswer: -56*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -457 = -12*d + 348 - 37. Let u be (1 - 3)\/(1\/(-2)). Calculate the highest common divisor of d and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 64 - -304. What are the prime factors of u?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64178 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3c3 + -1569e?\nAnswer: -15a72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 divided by -6?\nAnswer: -553\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - y + 7. Give x(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 20, 9, -6, -25, -48, -75?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 513265 divided by -179.\nAnswer: -513265\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 2*m)*(-12*m + 27*m + 6*m).\nAnswer: -42*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87049 is divided by 43523.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 47\/4, -377, -2\/5, 2, -5, -1, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539)*-1 + -1)**2 + 1 + sqrt(1539) + 3 + (sqrt(1539)*-5 + -5 + sqrt(1539))**2*-1.\nAnswer: -23105 - 333*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -564*k**2 - 3*k + k + 2*k + 561*k**2 + 5 to c*k + p + v*k**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x + 5. Let b be k(-5). Suppose b = -0*r - 4*r + 400. Suppose 2*g = 7*g - r. Calculate the remainder when g is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1829751165 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11 (b) 4 (c) -0.2 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -31\/9 less than 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 262 + 251. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(324) - sqrt(324)) + sqrt(324) + sqrt(324) - sqrt(24)\/(sqrt(12)\/sqrt(2)))\/((-2*sqrt(50) - sqrt(2)) + -2*sqrt(4)\/sqrt(2)) + 5)**2.\nAnswer: 10*sqrt(2)\/13 + 4227\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 17*i + 63. Let x be y(-7). Let z be (-2)\/4 + x*4\/(-8). Solve l = 5*b + 3*l + z, 4*l = b + 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -27*q**3 + 27*q**2 - 27*q. Let z(b) = b**2 - b. Calculate -s(u) + 27*z(u).\nAnswer: 27*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.065 - 2.935. Suppose 3 = -3*f - 3. Let q be 1 + f - 4\/(-7). Sort q, x, -2\/7.\nAnswer: x, q, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3423704 to the nearest integer?\nAnswer: 1850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1)\/(i\/i**(-1))*(i**2)**50)\/(((i\/i**(-2\/5))\/i)**(-45)*i*i**6*i**(7\/3)\/i) assuming i is positive.\nAnswer: i**(320\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 + 0*k + 3*k**2 + 0*k + 9 - 13.\nAnswer: -(k - 2)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fdsf when four letters picked without replacement from sddhfhhdkffkuhskk.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**2\/4 - 4*b - 15\/4 = 0?\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2365423*5.4.\nAnswer: -1.27732842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 2482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of p**4\/12 - 7*p**3\/6 + 11*p**2\/2 - 580*p. Give z(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -9. Suppose 0 = -3*q - 2*m + b, -3*q - 4*m + 3 - 1 = 0. Let t(o) = 44*o**3 - 2*o**2 + 2*o - 1. Is t(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 69621194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 14 = 5*t, 27*k = 28*k + 3*t - 6. Is 81447\/k + (-6 - -3)\/12 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -365 = -f + 85. Suppose -4*r = -r - f. Suppose 0 = d + 2*d - r. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3855994 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 536*a**2 - 3*a + 2*a + 454 + 94 + 34 + 163 wrt a.\nAnswer: 1072*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1810, 3623, 5436, 7249, 9062, 10875?\n\"Answer: 1813*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/132 and -1\/84612.\nAnswer: 84612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 380.4 + 3.6. Let v = x - 383.99. Let w be (4\/6)\/((-4)\/6). Is v at most as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/4*20*7\/(-105) + 61. Solve -u = g + 5, -x*g + 68*g + 5 = -3*u for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3775189?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11306271943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*h + 3 - 3. Suppose -l + 4 = h, -2056 = -0*c - 4*c + l. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, 85, 97, 109, 121?\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 339, 330, 315, 294, 267, 234, 195?\n\"Answer: -3*l**2 + 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/10 of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 197?\nAnswer: -591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 132351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -3 - 1) + -1 - -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2 + 2*b - 3. Let g be z(5). Let x = -482 + 531. Let a = x + g. Solve 0*q = 2*q + a for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2284.\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3121 or -3120?\nAnswer: -3120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.2991 + 1.3151681. What is y rounded to 4 decimal places?\nAnswer: 0.0161","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 4:23 PM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123 = -5*y - 113 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.81674ms to days.\nAnswer: 0.00000012519375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185745 is divided by 50?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.525 - -4.8. Let l = y + -0.075. Let u = -2 + 2. Put l, u, -0.4 in descending order.\nAnswer: l, u, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -541424, -1082840, -1624250, -2165654, -2707052, -3248444, -3789830?\nAnswer: -4331210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 5*d**3 + 5*d**2 - 7*d + 5. Let j be k(4). Let u = 631 - j. Suppose -2*l - 9 = -3*y + u, -184 = -2*y - 3*l. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -518, -1039, -1544, -2027, -2482, -2903?\nAnswer: -3284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 5*f = -23 + 3, 3*f = -4*o - 14. Let c = 401 - 393. Does 3 divide -1*o\/(c\/(-38))*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(6\/11)\/y*y\/(y**(-8)*y))**19\/(y*y**(-4)*y*y\/(y*y\/((y\/(y**(-2\/9)*y)*y)\/y))*(y**(1\/3))**(-27)) assuming y is positive.\nAnswer: y**(15359\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 129 + 39. Let b = m + 16. Calculate the highest common divisor of b and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-3)\/36*-4\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 47934.09 to the nearest 100.\nAnswer: 47900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 14*x = 51 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**4 + 71*k**3 - 71*k**3 + 6 + (-3*k**3 + 5*k**3 - k**3)*(0*k - 2*k + 3*k) + (5*k - k**4 - 5*k)*(-2 - 3 + 3).\nAnswer: 4*k**4 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddpp when four letters picked without replacement from {d: 2, p: 1, f: 1, m: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 3. Suppose z = -0*f + f - 2. Which is the second smallest value? (a) -3 (b) -2\/11 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 3496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 218689344?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1902 divided by 317?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (41 - 41) + 1 + 4 + 32?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 120394647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 7*p = 900. What is p rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, n: 2, d: 3, b: 1}. Give prob of picking 1 d, 1 k, 1 n, and 1 b.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-7) + 1 + 34\/7. Solve i*z + 10 + 15 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010000000 (base 2) in base 5?\nAnswer: -14102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -1\/12*o**4 + 36 + 3*o**2 - 5\/3*o**3 + 49*o. Let i(w) be the first derivative of p(w). Give i(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*c + 15 = -22*c. Factor s**3 - 4*s**c + 20*s + 8*s**2 + 8*s**3 + 17*s**2.\nAnswer: 5*s*(s + 1)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -17553*1\/((-3)\/11). Let o = -911405 + 627044. Let f = d + o. What is f rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7}. Give prob of picking 3 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 884 and 8476.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s - 2 = -13*s. Suppose -5*c + 191 = 3*b - 0*c, 134 = s*b + 5*c. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5d - -5?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 33 = 8*t - 12*t, -2*t - 6 = -2*p. Solve -i = 7*o - 2*o - 15, 15 = -5*i + p*o for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 137 + -121. Suppose -2*p - 7 + 2 = -5*d, 2*p + 14 = 2*d. Let o = -6 - p. Calculate the greatest common factor of g and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5366734 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -7791694899 and -215.\nAnswer: -7791695114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -1623*y**2 + 7*y - 316. Let c(v) = -3243*v**2 + 15*v - 633. Let j(a) = -6*c(a) + 13*x(a). What is the second derivative of j(u) wrt u?\nAnswer: -3282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/36 and -35\/64.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*(-4)\/(8\/7). Suppose 8*x = 15*x - h. Solve r = 5*j + 7, -j + 5*r - x*r + 4 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-120)\/54)\/((-12)\/108)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 14) to base 9\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 380, 821, 1426, 2297, 3536, 5245, 7526, 10481?\nAnswer: 14212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-92 + 32 - 75 - 113 - 74 + 52)*(-42*u + 7*u + 11*u) as a*u + g and give a.\nAnswer: 6480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*a - 10*a + 32 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8767*i*v**2*y**3 + 20*i*v**2*y + i*y**3 - 2*i*y**2 - 5*i*y + 4*y**2 wrt y.\nAnswer: 52602*i*v**2 + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0113987 to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 42 = 2*j, 2*j - 44 = -3*b - 16. What is the remainder when 28 + (0 - -2 - 1) is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -12\/3245 and 44\/32155.\nAnswer: 353705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 7:10 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {q: 4, h: 8, r: 4}?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 11)*(13*y - 28*y + y).\nAnswer: 168*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5201 - -265294\/51. Let h be (1\/(-34))\/((-1)\/6). Let v = n - h. Which is the smallest value? (a) 2 (b) 1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 6 + -23 + -8 + 6 + 21\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33349 + 33346. Let o = 0.3 - 0.2. What is the closest to o in f, 0.4, -6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 601280 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: Evaluate 6 + -1 + (70 - 75) + (4 - 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9293\/7 + -2044299\/1540. What is the common denominator of v and -11\/60?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lysylyw. What is prob of picking 1 s and 1 w?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 63493, 63492, 63491, 63490, 63489?\n\"Answer: -o + 63494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 454918605 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*-2*-2 + -2*sqrt(108)*1)\/(-1*sqrt(486) + sqrt(486) - sqrt(24)\/sqrt(4)*5)*1 + 5.\nAnswer: -6*sqrt(2)\/5 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 12*r**2 - r - 10. Let g(d) = 5*d + 4. Let p(n) = 4*n + 3. Let z(a) = 3*g(a) - 4*p(a). Let w(k) = s(k) - 6*z(k). Is w(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*g - 26. Let y(q) = -4*q**2 + 8*q + 5*q**3 - 2*q - g*q**3 - 1. What is the units digit of y(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -6*b + 39. Let n(m) = -3*m + 20. Let x = -8154 - -8150. What is x*s(j) + 7*n(j)?\nAnswer: 3*j - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 5*y = -4 - 6, -3*y = 8*z - 6 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 36*p + 4953. Determine t(-131).\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66719 and 34577.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1819.3 - -1819. What is the closest to i in 1\/2, 73, -1\/2, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -8 + 12 - -12?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 359, -5, 253, -2\/9 in increasing order.\nAnswer: -5, -2\/9, 253, 359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.148 + -0.152. Let m = 0.3 + 2.5. Let k = d - m. Round k to zero dps.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - (2 - -88)\/3. What is the common denominator of 4\/6 - 146\/w and -17*((-5)\/(-8))\/1?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 + 39166750*z + 76701715278125.\nAnswer: 5*(z + 3916675)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -56617, 1.3, -10\/11?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.062 and 36.47.\nAnswer: 36.408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 8*x - 5*f + 376, -x = 4*f - 116. List the prime factors of x.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(0*r - r - 2*r) + 5*r - 2*r - r + 3*r - 2*r - 3*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 21, 202, 3, 26 in increasing order.\nAnswer: 1, 3, 21, 26, 202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4043105, -4043191, -4043277, -4043363, -4043449?\n\"Answer: -86*n - 4043019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(1\/5))**1*t**(-9\/5)*t**(-7) assuming t is positive.\nAnswer: t**(-38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 11, 1, 4 in descending order.\nAnswer: 11, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 - -21. Let m be (-74)\/b - 3\/18. Calculate the greatest common divisor of 30 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 11. Let g be (-1 - -5)*(-7)\/x. Let t = 21 + g. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + 10. Let s(p) = p**2 + 10*p - 240. Let a(d) = d**2 + 10*d - 289. Let q(i) = -5*a(i) + 6*s(i). Determine q(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and 18306.\nAnswer: 91530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-1\/4)*o*o)**(1\/44)*(o**3)**(-1))**(13\/8) assuming o is positive.\nAnswer: o**(-611\/128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10457 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -0.413, 24, -7?\nAnswer: -0.413","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -0*b. Suppose b = -0*c + c - 2. Suppose c*z = -0*z + 98. Calculate the remainder when z is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 36*r**2. Suppose 6 - 3 = 3*j. Let u be l(j). What is the highest common divisor of 9 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 98*k + 19805. Calculate i(198).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 5*o**2 - 2*o - 2. Let h = 25 - 30. What is r(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 + 273 = 10*f. Suppose 0 = 5*v - v + d - f, -43 = -4*v + d. What is the remainder when 17 is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/18*14\/294*-6.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202 (base 5) to base 11.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-12)*3*1\/(-1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**15*a)\/a)\/(a*a**(-10)*a))**(-20) assuming a is positive.\nAnswer: a**(-480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/28)\/(15\/(-6)*(-11)\/(-5))?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 5176.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8524 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1255283216 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -430 - 563 + 1389 + 2835*r + 1104*r wrt r.\nAnswer: 3939","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of 0 - 102*c**2 + 0*c - 1\/12*c**4 - 11\/6*c**3. Give d(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g + 1 - 17 = 0. Let o be (-303)\/46 - g\/(-4 - 4). Let q = o - 316\/69. Calculate the common denominator of 61\/14 and q.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 413, 827, 1241, 1655, 2069, 2483?\n\"Answer: 414*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 315*c**4\/4 - 2001*c**3\/4 + 1155*c**2\/2 - 231*c + 30 = 0.\nAnswer: 2\/7, 2\/5, 2\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 4:03 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 43119 + -13?\nAnswer: 43106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 r when three letters picked without replacement from {s: 5, g: 2, v: 1, r: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-866*s**2 - 4581*s**2 + 1410*s**2)*(-s + 2*s + s)*(1 - 4 + 2).\nAnswer: 8074*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4 - 0. Let t(c) = 3*c**2 - 3*c - 9. What is the tens digit of t(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-9.5973.\nAnswer: -47.9865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -26*m + 164. Let g be y(6). Let i(p) = p - 3. Give i(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9479 by -17090.\nAnswer: 9479\/17090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 200*g + 7456. Determine j(-151).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -56*(25\/(-80))\/5\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3098 + 1313. Let k = 2981 + z. Suppose 3*c = -p - 4*p + 1495, -k = -4*p - 3*c. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 282\/(-54) - 4\/(-18). Let y(h) = h**2 + 7*h + 3. What is y(r)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46214 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000 (base 3) to base 16.\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-449)\/(-3) + -1)\/((-120)\/(-4140)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, 0, -22, 2 in increasing order.\nAnswer: -33, -22, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a - a - 3*a**2)*(3 + 2 - 4)*(4*a - a - 4*a) to u + x*a**2 + j*a + n*a**3 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 4. Let x(g) = -6*g - 192. Let u(j) = 144*c(j) + 3*x(j). Let k(a) = 3*a. What is u(k(o))?\nAnswer: -54*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -151 - (-1608 - -1516)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1166582 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.33 rounded to zero decimal places?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 210, 291, 372, 453, 534?\nAnswer: 615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*p**2 - 61*p**2 - 3 - 700*p**3.\nAnswer: -700*p**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**2 + 402*g - 19787. Give n(102).\nAnswer: 409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -3, 333186, -7, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*v**3 + 33*v**2 - 322*v - 2500115 with respect to v.\nAnswer: -9*v**2 + 66*v - 322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1001011026 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b\/b**(2\/5)))**(-6\/5)\/(b**(-2)\/((b\/b**(-4)*b*b)\/b*b)))\/((b\/(b*b**(-2)\/b))\/(b**(-10)*b))**(-18) assuming b is positive.\nAnswer: b**(5643\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - (1 + (-2)\/(-1)). Let w = 4 - 6. Sort w, 6, j in decreasing order.\nAnswer: 6, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -z**4\/36 - 2*z**3\/9 + 5*z**2\/6 - 321*z. Factor r(u).\nAnswer: -(u - 1)*(u + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -723*h + 30036 = -5729*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 686 = 2*r - 2*p, 6*r - 2*r - 3*p = 1372. Let v be (-4)\/(-30) + (-11 - r\/(-15)). Calculate the greatest common divisor of 42 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 1546*b**3 - 7*b**2 + 13*b + 20. Let j(f) = -515*f**3 + 2*f**2 - 4*f - 6. Determine 7*j(c) + 2*q(c).\nAnswer: -513*c**3 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1210292764 to the power of 1\/3, to the nearest integer?\nAnswer: 1066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*o - 520 = -46*o - 74*o. Calculate the remainder when 660 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 13 = -5*w, -2*w + 6*w + 7 = -v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 259*z**3 - z**2 + 2*z - 2. Calculate the remainder when a(1) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 + 28. Suppose -2*p + 3 + z = 3*h, -20 = -5*h - 4*p. Suppose 4*n + 9 - 29 = 0. Solve 3*m + 6 = h, 4*d - 3*d + n*m + 9 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, z: 7, g: 3, e: 2}. What is prob of sequence fzf?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 6*k**2 + 3*k + 2. Let y(d) = d**3 - 18*d**2 - 9*d - 5. Let p(f) = -7*g(f) - 2*y(f). Let i be p(-4). List the prime factors of -3 + (-3)\/((-6)\/i).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 37*p**2 + 251*p - 766. Determine t(43).\nAnswer: -1067","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) 7 (b) -4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66 + 22*w + 31 + 35.\nAnswer: 22*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4822 + -4794. Solve 3*w + 4*n - 33 + m = 0, -3*w + 3 = 3*n for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1515 - 1515 + 83*q**2 + (-1 - 2*q + 1)*(q + 2*q - 4*q).\nAnswer: 85*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5788811 divided by 343\nAnswer: -16877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14 + -15?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, j: 13}. Give prob of picking 3 j and 1 n.\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -14702.54 rounded to the nearest one hundred?\nAnswer: -14700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-20))\/3*(-62 - -50)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 631 + -629. Suppose -336 = -10*b + l*b. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 7187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.35 times -2?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 764348 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -9*t**2\/2 + 3369*t + 2247\/2 = 0.\nAnswer: -1\/3, 749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -3\/2*f**2 + 3\/2*f + 198 = 0.\nAnswer: -11, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/3254908 and 28\/813727.\nAnswer: 3254908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of k**6\/1620 + k**5\/135 + k**4\/36 - k**3\/2 + 5*k. Let s(d) be the second derivative of p(d). Let s(z) = 0. What is z?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 6:28 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**19*z*z**(14\/3)*z)**(-7\/4) assuming z is positive.\nAnswer: z**(-539\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 8:31 AM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 187, 657, 1577, 3097, 5367, 8537, 12757?\nAnswer: 18177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from momsjgommngooj. Give prob of sequence jno.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 90.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 z when two letters picked without replacement from {l: 2, v: 2, p: 1, t: 1, z: 2, s: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d**2 + 6*d + 3. Let h(o) = 18 + 4*o + 85*o**2 + 13*o - 76*o**2 - 9. What is -4*h(f) + 11*x(f)?\nAnswer: -3*f**2 - 2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 - 23 = -5*j. Let d = -6 - -5.6. Let g = 0.5 - 0.1. Which is the second biggest value? (a) j (b) d (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*q - 46 = -q, -2*q = -3*u + 56. Let k be u\/(-70) - 52\/14. Put k, -5, 5 in descending order.\nAnswer: 5, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/115 (b) -5 (c) 2\/5 (d) -20 (e) 0 (f) 1\/30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*l**2 + 0 + 164\/3*l.\nAnswer: -2*l*(l - 82)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16 - 1202055512?\nAnswer: -1202055463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 98373, 98374, 98375?\n\"Answer: x + 98372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 3*g + 3 - 2, -b = -2. What is the second derivative of -1 - 2*w**2 - g + 2 + 2*w wrt w?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + (3 + sqrt(18))**2 - (sqrt(12) + (sqrt(2304) - sqrt(36))\/sqrt(3) + sqrt(12))\/sqrt(6)).\nAnswer: 18*sqrt(2) + 62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -618*t - 518*t = -218*t - 143*t - 22475 for t.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*d**3 - 4*d**3 - 4*d**2 - 3*d**2 - 10*d**3 wrt d.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -1124716*d. Let t(s) = s**2. Calculate h(t(z)).\nAnswer: -1124716*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 231107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -4\/3, -1\/8, 28\/37, -3 in decreasing order.\nAnswer: 28\/37, -1\/8, -1\/2, -4\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -48 (b) 3 (c) 2\/3 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3350462 (b) 0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8599999 + (-4)\/(-10)*5. Suppose -c = g - w, -2*g = -w + 2365921 + 14834080. What is g rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 417*c - 115*c + 1153 + 2537 = -236 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 1:13 AM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.1 and 103865297 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -515 + 531. What is the lowest common multiple of j and 344?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 332*q - 10. Let i(y) = 333*y - 9. Let j(z) = -6*i(z) + 5*x(z). Let w be j(2). Is (-2)\/6 - w\/18 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*a - 27 + 1 = 0, -65 = 5*h + a. Let i be h\/2*33\/(-22). Which is greater: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23384*g**5 + 3*g**4 - g**3 + 131702234*g**2.\nAnswer: -1403040*g**2 + 72*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -8323.2 to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 - 20. Let i(u) = 5*u + 4. What is the tens digit of i(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15556 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/8 - 326*s + 552585\/8.\nAnswer: -(s - 197)*(s + 2805)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 5*j - 12. Solve -j*u = 2 + 13 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 38*w**3 - 6*w**2 - 141*w + 777. Is q(6) a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53780588 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 7022 = -44*n + 40*n, -3*n = 4*q - 14014. List the prime factors of q.\nAnswer: 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 769298225 and 725.\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-9 + 17)) + 4 - 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24201, -24199, -24197, -24195, -24193, -24191?\nAnswer: -24189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 370 = 158*v - 262 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*m + 107*m - 3*m = 0. Let g(c) be the second derivative of -1\/3*c**4 + 11*c + 0 + m*c**2 - 4\/3*c**3. Factor g(a).\nAnswer: -4*a*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5594040119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 284833?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35569425 by -475.\nAnswer: -74883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.027 + -20.027. Let c = 34355 + -34348. Which is smaller: z or c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 2*b - 70 = 69, 2*j = -b + 55. Let a = 319 + -67. Let p = a - 107. Calculate the highest common factor of j and p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-90)\/120)\/(((-128)\/(-16))\/160)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 3*y + 66, -3*z + 0*z = -y - 58. Differentiate 7 - 3 + z*k**2 - 1 with respect to k.\nAnswer: 36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 481610 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -8*f - 965. Let h be z(-121). Solve 15 = -h*k - 6*l + 7*l, -4*l = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 2\/23 (b) -1 (c) 175\/652 (d) -6 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 16 - ((50 - (8 - 10)) + 0).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/4)\/(10\/(-120)*18).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) - (-1 + sqrt(539) + 1)) + -3 + sqrt(539) + 1.\nAnswer: -2 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4634319.\nAnswer: 3, 17, 89, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -414, 2\/17, -1\/5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 2 - 2)*(-2*a - 3 + 3) - 3*a**2 - a**2 + 3*a**2 + 26*a**2 + 9*a**2 + 5*a**2 + 2 - a**2 - 2 + 4*a**2 - 14 + 14.\nAnswer: 46*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*d + 14 = 0, 4*x - 11 = -2*d + 1. Let h be -1 + 10\/(-2)*x. What is the smallest common multiple of (12\/(-7))\/(h\/63) and 22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4114 - 1210 = -s, 5*s = -d + 26715. Let v be s\/14*413\/118. What is the greatest common divisor of v and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1140*b + 2283*b - 1140*b + 6 as f*b + j and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 2*u = 28 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/((sqrt(12) + sqrt(48))*-1)*-3 + -3*(sqrt(425)*2 + sqrt(425) + sqrt(425) + sqrt(425) + 2)**2.\nAnswer: -31887 - 299*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 4)*(-4*a + 12*a**5 + 4*a) - 10*a**5 - 6*a**5 + a**5 + 13*a + 21*a**5 - 13*a.\nAnswer: 30*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of 19*n**4\/4 + 11*n**2\/2 + 12*n. Is c(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -3, 2, 2\/3, -29?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-3 + 3 - 5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 945435858 divided by -57\nAnswer: -16586594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - 7*r + 420 = 0. Suppose -r - 18 = -16*y. Solve 0 = 3*i + y*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 188210011 to the nearest integer?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*z = 23*z + 27*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -44*s + 345. Let o be i(6). Calculate the greatest common divisor of o and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1432 (base 5) to base 8\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4\/60 + (-20)\/75\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50270776 to the power of 1\/2, to the nearest integer?\nAnswer: 7090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/19)*g)\/g**(1\/3) assuming g is positive.\nAnswer: g**(41\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/2)\/(357\/(-28)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 140820 and 53820?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1248*y + 2*n - 33 = 1243*y, n + 3 = 4*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2\/2 + 825*g\/2 + 1626.\nAnswer: 3*(g + 4)*(g + 271)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w*w**(-5))))**(1\/4))**(4\/3) assuming w is positive.\nAnswer: w**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + o**2 + 3. Let p be b(0). Suppose -2*a + p*z = -49, -5*a + 0*z + 5*z + 120 = 0. Let u = -9 + a. Is 7 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -16648*q**3 - 2*q**2 + 19*q + 19. What is the ten thousands digit of z(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2550865583?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 70 - 69. What is the closest to -3\/7 in j, -2\/3, 0.4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1239, 1224, 1171, 1062, 879, 604?\nAnswer: 219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/336 and 125\/54.\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -43002?\nAnswer: -43005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m**2 - 5*m - 5. Let y(k) = 2*k**2 + 3*k + 3. Let a(i) = -3*f(i) - 5*y(i). Let s(d) be the third derivative of d**5\/30 + d**2. Give a(s(g)).\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7554 + 7546. What is the closest to -1 in -5, -3.2, f?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, k: 3}. Give prob of picking 4 k.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 21777 (base 9) to base 11\nAnswer: a981","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1351.247 times -28\nAnswer: -37834.916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2*261)\/(-3) - -5. Let v = r - 91. What is the remainder when v is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3626 is divided by 1747.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 + -35. Let a be 4\/(8\/18) - (18 + -14). Suppose -a*b = -41 + 36. Put b, 3, p in descending order.\nAnswer: 3, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-168)\/170 - (-6763)\/(-574855)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 2*y - 6*y)*(-12 - 17 - 11).\nAnswer: 200*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-6)*x**(2\/25)*x)\/(x*x**(1\/13)*x*x**(2\/15)))**(-24) assuming x is positive.\nAnswer: x**(55616\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2537 minus 0.166?\nAnswer: 2536.834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1367, 2895, 7157, 11419, 15681, 19943?\n\"Answer: 4262*w - 5629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/9)\/((-4356)\/(-594))*6\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -4*r + 22. Determine c(-8).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, f: 1, x: 1, r: 2, i: 2, p: 1}. What is prob of picking 1 i and 1 n?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 41*k. Let f(h) = -483*h - 6. Determine f(t(i)).\nAnswer: -483*i**2 + 19803*i - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -756?\nAnswer: 1512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3 - 29 = 0. Suppose -11*x + 7*x + n = 0. Let l be (0 - -1) + 1*4. Solve 18 + 8 = x*r + 2*d, 4*r - l*d = -9 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181255*r - 181249*r - 181258*r + 906275*r - 181250*r - 181261*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -p + 11, 10 = -5*p + 5*g + 20. Which is the nearest to -0.1? (a) 4\/3 (b) 2\/9 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71 divided by -3.\nAnswer: 71\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 74135.2971 - 74132. Let i = q + -0.0271. Let h = i - 3. Round h to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7402.6 + -7403. Let a = -3 - -2.7. What is the second biggest value in -26, 2\/3, b, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15135930 or 15135929?\nAnswer: 15135929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99, 127, 213, 393, 703, 1179, 1857, 2773?\nAnswer: 3963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 10}. Give prob of sequence qq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 341?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.3041 - -2.113. Round z to 3 decimal places.\nAnswer: -0.191","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 430 and 1\/1*727 + (-27 + 7)\/(-5)?\nAnswer: 7310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - p + 4*q = -24, 5*p = -4*q + 4. Solve -s + 8 = -w - 0*w, 5*s = -p*w + 13 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*b**4 + 10*b**3 - 1552*b**2 - 890330*b + 3 wrt b.\nAnswer: 36*b**2 + 60*b - 3104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**2 + 5 + y**2 + 0*y**2 + (-10 + 1 - 5 - y)*(4*y - 31 + 31).\nAnswer: -3*y**2 - 56*y + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 190 - (-676 + 596).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (32\/6)\/(2\/9). Suppose 3*o + 4*d = 44, 2*o + 2*d - 14 = 14. What is the highest common divisor of o and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-14) + 468\/(-1386)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39*f + 170*f - 4*f**4 + 340*f + 17*f**4 wrt f.\nAnswer: 156*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -a8284?\nAnswer: a8284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10891*k**2*n + k - 1565*n - 13 wrt k.\nAnswer: 21782*k*n + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -13*p**3 + 8*p**2 + 0*p**2 - 4*p + 14*p**3 - 5. What is the units digit of k(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27590 - 27590 - 148*q**2.\nAnswer: -148*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189761.\nAnswer: 11, 13, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -3 + -16 + 19?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25056 and 5400?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1 - 503*o - 1 - 3.\nAnswer: -503*o - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/320 or -51?\nAnswer: 3\/320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -302551*r**3 - 2368633.\nAnswer: -907653*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(275) + (sqrt(275)*-2)**2 - sqrt(275) - sqrt(275)) + 3.\nAnswer: -5*sqrt(11) + 1106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -4, -20 in ascending order.\nAnswer: -20, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l**2 - 2649*l - 2*l**2 - l**3 + 11*l**2 - 11*l**2 as b + a*l**2 + k*l + t*l**3 and give k.\nAnswer: -2649","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 plus -5.94?\nAnswer: 637.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -3445*t**2\/7 + 6891*t\/7 - 2\/7 = 0.\nAnswer: 1\/3445, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 656, 1311, 1968, 2627, 3288, 3951, 4616?\n\"Answer: l**2 + 652*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*l**5\/3 + 35*l**4\/3 + 25*l**3\/3 - 140*l**2\/3 + 20*l = 0. What is l?\nAnswer: -2, 0, 1\/2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert c8 (base 15) to base 8.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 98 + -53. Let s = 51 - f. What is the fourth biggest value in s, -3, -4, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 10 = 5*w, -2*i - 2 = -3*w + 4. What is the greatest common factor of w and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-16)\/(-56) + 11702\/7 + 3?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 3:31 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(190) - sqrt(190)*-1))\/(2*sqrt(1440) + sqrt(1440) - sqrt(10)).\nAnswer: -4*sqrt(19)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 55804?\nAnswer: -55788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -555 at most as big as -548?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*z**4 + 3*z + 9*z**4 - 3*z**4 wrt z.\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/7)*d*d\/d**4)\/(d\/d**1)**(-38))\/((d\/d**(-2\/5)*d)**(-1\/45))**44 assuming d is positive.\nAnswer: d**(332\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6\/5 of a day?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-125)\/(-10)*4\/10. Suppose 3*i + c*b - 5264 = 18461, 0 = -5*b - 20. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 106 + -114. Let q = s + 13. Let b(d) = 9*d**2 - 9*d + 35. What is the hundreds digit of b(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (52\/(-12) - -4) + 110\/15. What is the highest common divisor of 133 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 942 = 5*l + 4*r, -417*l + 419*l = -r + 372. What is the greatest common factor of l and 1274?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 408717601 + -408717623.00000037. Let o = t + 22. What is o rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93681816320 rounded to the nearest 1000000?\nAnswer: -93682000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 20. Solve -3*b - 1 = l for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 + (3 - 5) - 7) + 10\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22235 or 0.1?\nAnswer: 22235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164335004?\nAnswer: 2, 41083751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3972, -24509, -78202, -181629, -351368?\n\"Answer: -2763*x**3 - 1196*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 99*z - 507 + 606 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 89 (c) -0.2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3*sqrt(450))\/sqrt(6).\nAnswer: 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 482*i + 3253*i**2 - 482*i.\nAnswer: 3253*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15240\/(-508)*(-16)\/30?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**3 - 10*a**2 + 7 - 2*a**4 - 2*a - 9*a**2 + a**3 - 2 + 13*a**2 in the form g*a**3 + f*a**2 + c + k*a**4 + v*a and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1101 - -47341\/43. Let d = -338\/129 + y. What is the common denominator of d and 14\/49 + (-601)\/70?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -16. Suppose -2*l + s + 4 = 0. Suppose -6*m = l*m - 2070. What are the prime factors of m?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*193651745.\nAnswer: 38730349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n*n**(-2\/55))\/n*n)\/n**(-22) assuming n is positive.\nAnswer: n**(1318\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-24))**(9\/5))**(4\/5))**(4\/35) assuming q is positive.\nAnswer: q**(-3456\/875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 131, -0.1, -0.413, -0.3, -0.394, 2?\nAnswer: 131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2221213 (base 4) to base 6\nAnswer: 122131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.5 * 849466.\nAnswer: -2973131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 + -473?\nAnswer: -479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**3 - 213*k**2 - 8217*k - 101312. Let h(i) = 8*i**3 + 855*i**2 + 32867*i + 405246. Let f(d) = 6*h(d) + 22*s(d). Let f(w) = 0. What is w?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 21 + 17)*(-d - d + d) to y*d + b and give y.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 200 divide 10663814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**5\/4 + 17*s**4\/4 - 43*s**3\/4 + 11*s**2\/4 + 11*s - 7 = 0. What is s?\nAnswer: -1, 1, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s**2 + 565180*s + 565185 = 0.\nAnswer: -1, 113037","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 11:10 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i = 15*i - 18. Solve -6 = -4*b + i*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1257, 5415, 12449, 22353, 35121, 50747?\nAnswer: 69225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30721\/2147 or 15?\nAnswer: 30721\/2147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3477 from 35.5259.\nAnswer: -3441.4741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and -0.155.\nAnswer: 1.085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(((c\/(c*c**(-4)))\/c)\/c))**(-23)*c**5*c*(c*c**(-9))\/c)**(-2\/53) assuming c is positive.\nAnswer: c**(-40\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**3 - 2*l**2 + 2*l - 3. Let m be t(2). Let u be m\/(-2)*64\/(-12). Suppose 108 = 5*y - 2*y. What is the greatest common divisor of y and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-5)\/((-3577)\/14028 + 6\/24) is divided by 250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 260 divide 167772020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 11:44 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54 - 58*g - 54)*(7 - 1 + 8).\nAnswer: -812*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2216.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5424798 to the power of 1\/2, to the nearest integer?\nAnswer: 2329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8, -36, -78, -118, -156, -192, -226?\n\"Answer: v**2 - 47*v + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 0.3868707632236.\nAnswer: -4.6131292367764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 427, -12, 2, -3, -7, 16 in ascending order.\nAnswer: -12, -7, -3, 2, 16, 427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 7:00 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7.957357kg?\nAnswer: 7957357000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 637771989.7 to the nearest 1000000.\nAnswer: 638000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 11*z**2 + 2*z + 27. Let x be l(-11). Factor 0*h + 0 + h**x + 1\/3*h**3 + 1\/3*h**2 - 5\/3*h**4.\nAnswer: h**2*(h - 1)**2*(3*h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 3) + (37 - -5) + 2 + 3\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1788 + -14261\/8. Let o(j) = -j**2 - 4*j + 26. Let d be o(3). Are p and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3137\/294 - -1\/294. Let o = 10 + l. Let h = 11 + -14. Sort h, -5, o.\nAnswer: -5, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9923?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14408 + 14406. Let m = -0.1 - -0.1. Which is the nearest to m? (a) n (b) -1\/5 (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 39*a**2 - 17*a - 16. What is s(-1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/19 - 202*q\/19 - 204\/19.\nAnswer: 2*(q - 102)*(q + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -4*s**5 + 604*s**4 - 28516*s**3 + 474948*s**2 - 2090520*s - 2594592 = 0.\nAnswer: -1, 9, 21, 44, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 102933888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75636 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 711 + 545. What is the highest common divisor of g and 1099?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s + 5*s - 4*s)*(7*s + 23*s**3 - 209*s**2 + 398*s**2 - 188*s**2).\nAnswer: 92*s**4 + 4*s**3 + 28*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n = -0*n - 7*n + 160 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l + 115. Let g be y(0). What are the prime factors of -1*(-1 - -1) + g?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4*z - 4. Let q be d(-4). What is the third derivative of 12 - q - 2*c**4 - 11*c**4 + 7*c**2 wrt c?\nAnswer: -312*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 821279 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 15*k - 9*k**2 - 13*k**2 + 24*k**2 + 9. Let p be w(-7). Suppose o**4 + 1\/2*o**5 - 1\/2*o**3 + 0 + 0*o - o**p = 0. What is o?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-2\/7))\/y)**(-4\/7)*y*y**(-10)*y*y\/y**(-2\/3) assuming y is positive.\nAnswer: y**(-955\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + 2. Suppose -3*y + 8*y = j. Suppose 3*b - y*b + 22 = 0. Does 11 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.1 - 9.3. Is 42 >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1617?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f + 46 - 18 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 125\nAnswer: 62.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 47 = s. Let w = 3 + 0. Suppose 4*u + 9 + w = 0, -3*p + u + s = 0. What is the least common multiple of 18 and p?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-170)\/(-24))\/(-17)*12\/(-15).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4494765 greater than or equal to 4494762?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/3 + 1268*b**2\/3 - 2542*b\/3 + 424.\nAnswer: 2*(b - 1)**2*(b + 636)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.014653398 to 3 decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-26)*444\/(-555)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d - 9 = -559. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1554*k + 1659*k + 1995 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + j + 11097, 5*j = -5*r + 8934 + 2181. What is the greatest common factor of 120 and r?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4642 - 4633. Let z = -8.7 - -5.7. Which is the second biggest value? (a) s (b) -3\/5 (c) -4 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of l**4\/30 + 2*l**3\/45 - 2*l**2\/15 + 92. Factor w(u).\nAnswer: 2*u*(u - 1)*(u + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven halves of a micrometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 1.5, 55\/2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 932232 is divided by 28249.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.7*0.06567241.\nAnswer: -0.177315507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7658 - -86.63934018?\nAnswer: 7744.63934018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1189 and 502280?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k - 3784*k**2 - 2*k - 2 + 3787*k**2 + 12*k**4 as b*k**4 + j*k + g*k**2 + z*k**3 + h and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12410 and 100.\nAnswer: 124100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 8*i + 2. Calculate the remainder when 33 is divided by x(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4293803.\nAnswer: 107, 40129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -3997\/637556?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -25 divided by -2225\nAnswer: 1\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103, 169, 199, 193, 151, 73?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51 - -56. Suppose 2*a - 143 = 3*x, -b*x - 141 = 3*a + 91. Let g = x - -55. Calculate the greatest common divisor of g and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10820592 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -1392807.272\nAnswer: 1392805.272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10491143?\nAnswer: 13, 807011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -67, -254, -619, -1222?\nAnswer: -2123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*m**5 + 12006*m**4 - m**3 - 111118*m.\nAnswer: -80*m**3 + 144072*m**2 - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1)\/w)\/w*(w\/w**(1\/11))\/w assuming w is positive.\nAnswer: w**(-23\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 943 and 3922867741?\nAnswer: 943","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15737636*l**5 - 11*l**2 - 842609?\nAnswer: 944258160*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 163 = 17. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u + 0*u - 2*u - 1. Let g be r(-6). Suppose -k + 5*i = -5, g*k + 4*i + 31 = i. Put -4, -2, k in descending order.\nAnswer: -2, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 4662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.019 + 0.019. Which is the closest to l? (a) -0.3 (b) 0.2 (c) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -27884636, -111538552, -250961746, -446154218, -697115968?\n\"Answer: -27884639*s**2 + s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 524 a factor of 1145385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11120000 rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 278825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2883*j**5 + 8432*j**4 - 8759*j**3 + 3786*j**2 - 608*j + 32 = 0. Calculate j.\nAnswer: 4\/31, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3937*u + 1218*u = -4051*u - 340622 for u.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 84 - 81. Suppose 4*j + 3*f = -1 - 4, 0 = j + o*f - 10. Which is the biggest value? (a) 4 (b) j (c) 2 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -9\/20*u**5 + 0*u**3 + 0 + u + 0*u**2 - 5\/6*u**4. Find the third derivative of h(i) wrt i.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18618 + -19736.3. Round r to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1486726, 2973452, 4460178, 5946904, 7433630?\nAnswer: 8920356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 10:59 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and ((-4)\/(-6))\/(42\/630).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3357132 to the power of 1\/2, to the nearest integer?\nAnswer: 1832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -211*j**2*r - 4*j**2 - 45*j*r + 2*j + 2*r - 483918 wrt j.\nAnswer: -422*j*r - 8*j - 45*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 164\/(-8))*4064\/(-635).\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fo when two letters picked without replacement from phohphwwfwwrwwhh.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -61 + 37. Let b be (j\/(-15))\/(1\/(-5)). Let s(l) = 2*l**2 + 4*l - 11. Is s(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 3. Let h be (3 - 9 - -9)*4\/6. Is -13*(-3 + h) + -5 + s even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 1409*i + 43. Is x(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 449 + 469 = 4*j, -5*j + 25 = -4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -4*h - 24, h + 63 - 53 = -3*c for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 13*f + 14*f + 359, 2*g - f = 179. What is the smallest common multiple of 100 and g?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-4\/15)\/b*b\/(b\/(b*b**(16\/5))) assuming b is positive.\nAnswer: b**(44\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, -1\/4, 59, -3, 3?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 - -74. Suppose 4*h + 20 = 3*z, h + 25 = z - 4*h. Suppose z = i - 153 - n. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - l**2 - 5*l. Let m(b) be the third derivative of b**4\/24 + 2*b**2 + 2*b. Let p(c) = c**2 - 6*c + 3. Let i be p(2). What is i*m(v) - a(v)?\nAnswer: v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 + -111 - (-10 + 5 - -28)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-34))**43)**(2\/9) assuming o is positive.\nAnswer: o**(-2924\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17458221 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*f - 24*f = 20*f - 67 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 428 - 427. Which is the second smallest value? (a) 2 (b) w (c) -1\/3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 0*c - c)*(0*c + 15*c - 10*c).\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 11140*t. Let i(x) be the first derivative of -x**3\/3 - 9546. Determine f(i(v)).\nAnswer: -11140*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -318938 - -318951.0011. Let u = w + -13. Round u to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.024 (b) -3 (c) -26 (d) -2 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, d: 3, i: 1, y: 3, f: 1}. Give prob of sequence djj.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4 - 4 = 4*y, 16 = -4*y + 4*r. Suppose 3*n + 55 = 8*n. Suppose 0 = 4*f - n - 9. Sort f, -5, y.\nAnswer: -5, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 41.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -49323 divided by 14\nAnswer: -49323\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9343756259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30484476 divided by -73634.\nAnswer: -414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 3*w + 135 = -2*g, 0 = 2*g - 5*w - 90. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9468495 and 108?\nAnswer: 37873980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-11 - (10 + -10))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7303.627 micrograms in milligrams?\nAnswer: 7.303627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 100 + -89. What is the greatest common factor of q and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 169*w - 337. What is l(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/11)*k\/k**(-3)*k**3\/(k**(-2)\/k) assuming k is positive.\nAnswer: k**(108\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + -11. Suppose 0*w - l = 2*w. Which is smaller: w or -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -559386 at least -559386?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9331795, 9331793, 9331789, 9331783?\n\"Answer: -h**2 + h + 9331795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/9*36\/(-42).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6*-1*(-2)\/(-3). Suppose -b - 2 = 4*p, 2*b + j*p - 7*p = 51. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -17*w + 12*w. Suppose -7*q = -w*q + 14. Let f(b) = b**2 + 4*b - 7. Let l be f(q). Solve 12 = -4*v, l*y = 2*y + 2*v for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2450*k**2 - 253*k**2 - 41*k + 41*k.\nAnswer: -2703*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 59510*i**5\/7 - 215098*i**4\/7 + 219932*i**3\/7 - 46792*i**2\/7 - 17488*i\/7 - 64\/7 = 0. What is i?\nAnswer: -2\/11, -2\/541, 4\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) 3 (b) -30 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 6 = 4*t, -23 = -3*y - 2*y + 2*t. Let r be ((-2)\/10)\/(3\/(-15)). Let b = 1 - r. Put y, b, 1 in increasing order.\nAnswer: b, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7396, 7380, 7364, 7348, 7332?\n\"Answer: -16*q + 7412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50271*w**3 - 3*w**2 + 3*w - 5*w - 50269*w**3 to d*w**3 + y*w + x + t*w**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 9*f**2 - 3*f - 5. Let q(s) = s**2 + 26*s + 40. Let h be q(-24). Let t(b) = -b**3 + 14*b**2 + 4*b + 8. Determine h*j(u) - 5*t(u).\nAnswer: -3*u**3 + 2*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.9 - -7.1. Which is the nearest to -1\/3? (a) -0.2 (b) p (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4*s + 45. Suppose -4*y = 2*y + 342. Let i = 107 + y. What is the remainder when i is divided by w(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 33*m**2 - m - 2. Let d be y(2). Suppose -3*w + 86 = p - 5*p, 4*w - 2*p - d = 0. Calculate the remainder when w is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**2 + 6*q**2 - 4*q**2.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -121487\/9 + 13499. Which is the fifth smallest value? (a) x (b) 6 (c) -1 (d) -10 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(72) + -2)*-4)**2.\nAnswer: -768*sqrt(2) + 1408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 105\/44 and 103\/558906.\nAnswer: 12295932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13300 - 1313?\nAnswer: 11432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 261 + -262.5. What is the second biggest value in i, -0.3, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4233 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + w + 176 = 0. Let p be (8\/2 - 3) + 88. Let m = p - w. What is the highest common divisor of m and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 5 + -5 + -6 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - 27. Let z = x + 42. Suppose 5*q = -h + z*h + 4, -5*h = -3*q + 5. Solve -4*l + l = q for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 15. Let p = 4 + -6. Let d be (p\/4)\/(3\/(-6)). Is w less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**4\/(((d\/(d\/(d*d**(-4))))\/d)\/d))**(-9\/7)*(d**(-3)\/(d**(1\/25)\/d))**(-2\/27) assuming d is positive.\nAnswer: d**(-17987\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2 + 22*z + 25. Calculate the remainder when 462 is divided by s(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 15*j**2 + 31*j + 301. What is the tens digit of s(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of -11*t**5\/60 + 5*t**2. Let r be -9*((-33)\/(-9) + -4). Let m(s) = 7*s + 3 - r - 9*s. What is a(m(b))?\nAnswer: -44*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/13, 363, -3044, 0.3 in ascending order.\nAnswer: -3044, -1\/13, 0.3, 363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45157\/9 - 5025. Suppose 2*q + 4*c = 52 + 8, 0 = -2*c. Find the common denominator of m and (-556)\/q - (-3)\/15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/9 (b) 8 (c) -4 (d) 19 (e) 1 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -522, -523, -524, -525, -526?\nAnswer: -527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -27156782 to the nearest ten thousand.\nAnswer: -27160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -380, -1537, -3466, -6167?\n\"Answer: -386*o**2 + o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -8998.\nAnswer: -3\/8998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3073011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 939653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5 - -0.3. Let w = -1\/4207 + -476592\/4207. Let j = w + 113. Which is the biggest value? (a) t (b) j (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 14756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s - 7. Let w be 5\/(3*(-2)\/(-6)). Let v be o(w). Sort v, 2, 2\/3.\nAnswer: v, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 66 - 83 + 4*m - 10*m + 14*m. What is c(-7)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 3:31 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 2*x + 47, 4*x + 61 - 296 = -5*j. What is the remainder when 141 is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y - b - 14, 4*y + 28*b = 23*b + 6 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18155 and 430?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**11)\/k)\/(k\/k**15))**(-47)*(k*k**6)\/k**0*k**(-1)*k**(1\/4) assuming k is positive.\nAnswer: k**(-4675\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 8 + 3*i)*(-12*i - 3*i + 3*i) to the form o*i + a*i**2 + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-25)\/(-10)*1*(-8)\/(-130). What is the second smallest value in m, -3, -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*r*w - 57*r - 3*w - 3 wrt w?\nAnswer: 5*r - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2 = -f, 5*f = 2*f - 5*x + 6. Suppose 3*m - f = 28. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*2 - (10 - 9). Let z(w) = 218*w + 61. Is z(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of f**2 + 63*f + 25. Is k(-7) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6027*d**2*q + 186*d**2 + 38*d*q + 23642 wrt q.\nAnswer: -6027*d**2 + 38*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13, -31, -49, -67?\n\"Answer: -18*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)*2)\/(sqrt(24)\/sqrt(3)))\/((-1*sqrt(2304))\/(-6*(sqrt(4) - sqrt(8)\/sqrt(2) - sqrt(4)))).\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -362 - 16 = -7*b. What is the remainder when b is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**(-2)*v)\/v)\/v)\/v)\/((v*v\/(v**5\/v))\/v)*(v**(1\/4)*v)**(2\/11)*(v**0\/v)\/v**8*(v*v*(v*(v**(2\/7)*v*v)\/v)\/v)\/(v**(-3\/2)\/v) assuming v is positive.\nAnswer: v**(-307\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -22?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1845 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 167881231?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 4*a**2 + 2. Let g be r(-4). Suppose 27 = -v + g*v. Solve 3*h + n + 5 = -7, v = -3*h + 4*n for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24358 - -45549. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -259*p = -247*p - 25500. Calculate the greatest common factor of 935 and p.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -28*w**2 - 1443*w + 16174. What is v(-61)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 287 + -78e6?\nAnswer: -765f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40005*s**6 - s**4 + 2456*s**2 - 65*s.\nAnswer: -4800600*s**3 - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1573) + 0)*4 - (3*(sqrt(1573) + 0 - sqrt(1573) - sqrt(1573)) - (-2 + sqrt(1573) + 1 + sqrt(1573))))**2.\nAnswer: -198*sqrt(13) + 127414","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -81*h. Let b(z) = -1283*z. Give b(v(f)).\nAnswer: 103923*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -18. What is the remainder when 21 + -2 + 4 + 1 is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 8:16 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10091?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 47 = 7. Let p be 6\/39 - 74\/(-26). Suppose -5*v - 6 - p = -f, -2*v + 2 = 0. Calculate the least common multiple of l and f.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/(32\/(-212)) - 3 and 83\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**5\/(r\/(r**(3\/4)\/r)*r))**(-29))**41 assuming r is positive.\nAnswer: r**(-13079\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8195477 to the power of 1\/3, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 12 = -2*x, -v + 1 = -4*x - 0. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5039100 divided by -335940?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 94751 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1442079 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -25*y**2. Let f(r) = -21*r. Calculate f(s(h)).\nAnswer: 525*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.12 and -63.\nAnswer: 7.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - (-8 - -11)) + 4 - -34.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 824443838 to the power of 1\/3, to the nearest integer?\nAnswer: 938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {c: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -13, -97, -323, -763, -1489?\n\"Answer: -12*r**3 + r**2 - 3*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37356829 is divided by 34147.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2138078688 to the nearest integer?\nAnswer: 46239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22251*q - 14 + 14.\nAnswer: -22251*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -10, -0.1, -4867\/2, -2\/5 in descending order.\nAnswer: 0.2, -0.1, -2\/5, -10, -4867\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 366534*o + 60 = 366569*o - 5*c + 260, -c - 10 = 3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 17*f**2 + 21*f + 17. Let k be c(-18). Let i = -1 + -66. Let t = k - i. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/165 and 101\/20.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358 - 18 = -94*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 381 at least as big as 130370\/343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*z - 78 + 56. Let c(x) be the second derivative of x**2 - x. Let h(w) = -w + 3. Determine z*h(f) - 3*c(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -954881, -1909741, -2864567, -3819341, -4774045?\nAnswer: -5728661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 422937?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(240\/9))\/((-8)\/32).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -11*u - 1. What is the lowest common multiple of f(-1) and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2355 - -1300. What is the hundreds digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15\/14 - -8\/7. Let s = -41 - -45. Suppose -3*q - 4 = -s*q + o, -4*q = -3*o - 12. Is q less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + ((sqrt(13) + -1 + 1)*5)**2).\nAnswer: -640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 14 = -v - 2*k, -v - 13 = -4*k. Calculate the highest common factor of v and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((27\/195)\/(285\/475))\/((-3)\/(-741))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 125 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-4))\/((-2)\/(-2)). Let y be (-8)\/6 + (-104)\/(-60). Which is the third smallest value? (a) s (b) 4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 197235216 divided by 48\nAnswer: 4109067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 485*h + 62616. Determine f(-129).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1442220 (base 7) to base 6\nAnswer: 4104023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2031202 - -13?\nAnswer: 2031221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -466, -1132, -2306, -3994, -6202?\nAnswer: -8936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9442.9 * -3.1\nAnswer: -29272.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7791 + -1515?\nAnswer: 6278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 24*x**2 + 9*x + 6. Let v(p) = -49*p**2 - 16*p - 12. What is 3*v(s) + 5*w(s)?\nAnswer: -27*s**2 - 3*s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -17*r**3\/3 - 10. Let w(c) = c**2. Determine d(w(p)).\nAnswer: -17*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a week in minutes?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -278 divided by 77223?\nAnswer: -278\/77223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 2 (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 0.2 (c) 0 (d) 1040\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 + -24. Let p = 18 - o. Let n(g) = -4*g**3 - 2*g**2 + 1. Determine n(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.267 + 0.033. What is the closest to -1\/3 in 0.2, z, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-16 - -2) + (-2 + 16 + 17 - 30)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56360 and 14090?\nAnswer: 56360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -334 - -334. Solve r = -10*f - 13 - 7 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34*128\/(-5440))\/((-18)\/(-25)).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-192)\/10 - 237\/(-1185))*1?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 64 - 65. What is the fourth smallest value in -3, 4, b, -4\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -29?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000001228 rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*f + 460 = -384 - 962 for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7528\/3 + -2485. What is the common denominator of u and 167\/810?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.08 and -780?\nAnswer: 779.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-108)\/231 - 6\/(-33)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.07 and 20.66.\nAnswer: 1.4462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*((-7337)\/207 - (-5)\/1). Is 92 at most as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2493458*n*w**2 - 45*n*w + n + 2050*w + 2 wrt w?\nAnswer: -4986916*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -268*a**2*j**2*x - 179*a**2*j*x - 3*a*j**2 + 2*a*j - 2*j**2*x + 2*j wrt j.\nAnswer: -536*a**2*x - 6*a - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = -2*y - 14. Let q = y - -89. Is 12 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24? (a) 188 (b) -7 (c) -1.56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-10) + 184\/20. Let p = -8 + l. Calculate the remainder when 2 is divided by (9 - 9) + 2*p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1871 is divided by 373?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.265 times 10467\nAnswer: 2773.755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001240004 to 6 dps.\nAnswer: -0.000124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -34 and 0.474.\nAnswer: -16.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*(4 - 5)\/(-1). Suppose -3*w - 2*l - 2 = -w, t*w + 3*l = -1. Let a be ((-2)\/(-7))\/(w\/(-7)). What is the fourth smallest value in a, -3\/4, -3, -6?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/32789197 and 9\/699130.\nAnswer: 327891970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (3 - 1) + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -313303331?\nAnswer: 313303320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 23501.87 and -164.053.\nAnswer: 23337.817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d + 4. Suppose -6 = -4*y + 6. Let n = 6 - y. What are the prime factors of i(n)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**2 - 69*i + 13*i**2 + 164*i - 95*i.\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -162651\/107 equal to -1520?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -349*q + 340*q + 72. What is the greatest common divisor of 136 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 44611*d + 267633. What is r(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 235083*d**2*s - 148794*d*s wrt d.\nAnswer: 470166*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 22. Let d be ((-15)\/l)\/(3\/12). Is (3 - 86)*(d - -4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 27165561 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)*-4 - sqrt(12) - sqrt(12))\/sqrt(6) - (((sqrt(2) + -1 - sqrt(2))*3 - sqrt(2)) + sqrt(2))*6.\nAnswer: -10*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -f - 17, 3*p + 2*f + 11 = 6*f for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -5*w**2 + 12*w - 1. Let z be u(2). Let p be (-1 - -1)\/(-2 + 3). Let a = 2 + p. Solve 2*b - 3*r = -3, -z*b = 4*r - a - 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43 + -23. Suppose -q = -5*z, 5*z + 19 = -5*c + 174. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-14)*(-48)\/18. Let h = 1\/7 - n. Let a = 114 - 113. Which is greater: a or h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s*s\/s**(-2\/19))*s))**(1\/11) assuming s is positive.\nAnswer: s**(21\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjj. What is prob of picking 3 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from gcageaggageaagataa?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 14*f**2 - 69*f + 1399. Calculate the remainder when k(14) is divided by 35.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.436 + -94.564. Let o = -92.5 - b. What is the biggest value in 3\/5, -0.1, o, -0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249758 is divided by 35232?\nAnswer: 3134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 275 and 14905?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 7*v**2 + v - 4. Let u be g(7). Let q(p) be the first derivative of -p**2 - 6 + 1\/3*p**3 - 2*p. Give q(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*f = -2, 4*f = f + 3. Let t(n) = 7*n + 11. What are the prime factors of t(w)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 10*u**2 + 25*u - 2. Suppose -o = -4*w + 75, w - 30 = -0*w + 4*o. What is the lowest common multiple of w and q(12)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 140 = -4*c, 3*c + 4*v - 5 + 110 = 0. What is the tens digit of (1\/(-1) + -6)*2790\/c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -70 (base 8) to base 13.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 5)\/(-33 - -43 - (-876)\/(-87))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 255284 and 684.\nAnswer: 2297556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nl when two letters picked without replacement from xxxxxxxnxxxxxlxx?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -29493, -58987, -88481?\n\"Answer: -29494*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -278, -1122, -2532, -4508, -7050, -10158, -13832?\n\"Answer: -283*j**2 + 5*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 + 14. Let u(t) = -t**3 - 10*t**2 - 21*t - 7. List the prime factors of u(d).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 308 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1757, 3505, 5277, 7073, 8893, 10737, 12605?\n\"Answer: 12*b**2 + 1712*b + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.7? (a) -4 (b) 0.07 (c) 2\/5 (d) 2\/2495\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -98*y - 762*y + 23220 for y.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -2*v - 2, 3*c - 5*c = -v + 3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(3520)*1 - (sqrt(55) - sqrt(495))*6)\/((sqrt(88) - ((sqrt(88) + sqrt(88)*2 - sqrt(88))*-1 + sqrt(88)))\/sqrt(8))*5.\nAnswer: 250*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1956 divided by 489?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/8? (a) 2\/11 (b) -1\/55 (c) -174\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -6*f**2 - 6*f + 2. Let o(s) = -7*s**2 - 9*s + 2. Let v(j) = 14*j**2 + 19*j - 4. Let x(a) = -5*o(a) - 2*v(a). What is 5*q(z) + 4*x(z)?\nAnswer: -2*z**2 - 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4)*n*(n\/(n*(n\/(n\/(n*n**(-3))))\/n))\/n*n)\/(n**(1\/9)*n**(3\/2))*n**(3\/7)\/n**4*n**(-3\/2)\/(n**(-6)*n*n) assuming n is positive.\nAnswer: n**(-169\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 23*m - 347. Let o be g(15). Which is the nearest to -2? (a) 0.2 (b) -4 (c) o (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/14, -8, -0.9, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 798*v - 21. Let f be k(-1). Let b = 808 + f. Suppose -4 = -2*x - t, -4*t + 9 = x - 7*t. What is the fourth smallest value in -3\/7, 0.1, b, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 100459418 to the nearest integer?\nAnswer: 10023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a - 1 + 1 + (66 - 184 + 62)*(-a - 2*a + 5*a) to r + x*a and give x.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t**3 + 9*t**3 + 2*t**3 - 2*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 4:23 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000156667598 to 7 dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1\/8))\/(p\/(p\/p**(3\/8))))\/(p\/(p**(-2)*p))**46 assuming p is positive.\nAnswer: p**(-183\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 25*j + 124. Is 14 a factor of c(28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1525 - 10678\/7. Which is the biggest value? (a) h (b) -10 (c) 33\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 p when three letters picked without replacement from {p: 13, q: 1, a: 1, n: 2}.\nAnswer: 39\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8110571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-24) - (-4 + (-280)\/(-64)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 59516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-9) - 32\/3. Let f be 12*-1*(-1)\/(-2). Let p = f - j. What is the remainder when 9 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 455410 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338 is divided by 86?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.35233 litres in millilitres?\nAnswer: 95352.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 184272 by -1047.\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 4 - 2)*(0 + g + 0) - 36 + 36 + 11*g)*(7*g - 3*g**4 - 7*g).\nAnswer: -30*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 931 = -4*i + 9223, 7607 = 3*i - 2*c. Suppose 10*d - 417 = -i. Round d to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 9*a - 8. Let i be (-3)\/(-6)*(-48)\/(-3). Let c be f(i). Is c < 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vc when two letters picked without replacement from cccvccccccccc?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1119, -2237, -3353, -4467, -5579, -6689?\n\"Answer: y**2 - 1121*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 8:23 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003812 to five dps.\nAnswer: -0.00381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.195 and -4424?\nAnswer: -14134.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/2*4\/5. Let s = -8\/5 - j. Put -2, s, 2 in ascending order.\nAnswer: -2, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -67142, -67098, -67054?\n\"Answer: 44*a - 67186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 138161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 12*f + 0 + 0*f - 11.\nAnswer: -12*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-2))\/(18\/48)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -82466\/77 + 1071. Let u = -73\/308 - j. Is -3 at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2 + 7*v - 25*v - 21*v - 30*v. Let x(i) = -70*i - 3. Let u(q) = -3*s(q) + 2*x(q). Let t(n) = -2*n**2. Calculate u(t(a)).\nAnswer: -134*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b (base 13) in base 7?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 252*p**2 + 7*p - 34. What are the prime factors of m(-9)?\nAnswer: 5, 17, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*g - 3*c, 16 = 3*g + c - 1. Suppose g = v - 4. Suppose -v*u = -6*u - 176. What is the greatest common factor of 11 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19928)\/583 - ((-2)\/(-8) - 95\/220).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-6\/7)\/(d\/((d*d\/(d\/(d*d**(1\/3))))\/d)) assuming d is positive.\nAnswer: d**(-11\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of -9*k**2 + 0*k + 3\/20*k**6 + 3\/2*k**4 + 2*k**3 + 13\/20*k**5 + 0 + 1\/70*k**7. Suppose c(d) = 0. Calculate d.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2. Let m(x) = 55*x**2 + 4*x. Calculate m(o(s)).\nAnswer: 55*s**4 - 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6585467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, z: 1, a: 1}. Give prob of sequence zaf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/35)\/(12\/210)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 + -35. Which is the nearest to 1? (a) 4 (b) 5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.11 - 0.01. Let i = p + 0.12. Let y = 108 + -215\/2. Which is the nearest to i? (a) y (b) 5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*i - 11*i - 5*i + 6463 - 6455.\nAnswer: 8*i + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002523 rounded to five decimal places?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 282\/48)\/(-5 + (-27)\/(-12))?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/6*-9 - 3. Let l = 17 - z. What is the greatest common divisor of 16 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((c\/(c\/(c*(c\/(c\/(c*c\/(c\/(c**6\/c*c)))*c*c))\/c)))\/c*c)\/c)\/(c**(-2\/3)\/c))**(2\/21))**7)**23 assuming c is positive.\nAnswer: c**(782\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 4*m + 1. Let d be c(3). Let h = 451 + -158. Suppose z = 2*w - 3*z - 182, d*z = -3*w + h. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 26\/(-10) - (-3 + 17\/5). Let w(b) = -72*b + 8. Let o be w(i). Suppose -2*z + 0*z + o = 0. Is z a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 3*k - 3 = 0, k + 13 = -b - 4*k. Find the second derivative of -3*m**4 + 18*m**4 - 491*m + 548*m - b*m**4 wrt m.\nAnswer: 156*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2 + 5*v + 6. Let j be m(-5). Suppose 95 = 4*h + j. Let q = -14 + h. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-6 - -5 - -1 - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1112980 and 314270.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1405\/(-60))\/(4\/12). Let s = -71 - a. What is the second smallest value in 5\/3, s, -14?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/845 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -532937978 not equal to -532937978?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 65925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -3 - 9. Suppose -o*b + b = 0. Factor b*q - q**2 - 2*q + 3*q.\nAnswer: -q*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + z - 8 = 0. Suppose 10*d + 40 = 15*d. What is the smallest common multiple of d and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*b**5\/13 + 514*b**4\/13 + 3716*b**3\/13 - 20144*b**2\/13 - 16960*b\/13 + 6400\/13 = 0. What is b?\nAnswer: -20, -1, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9790 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**4 + 7278*x**3 + 339549*x**2 + 3923064*x.\nAnswer: -3*x*(x - 2472)*(x + 23)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -94186\/5 - -18837. Let n = -0.01 - -2.01. Put -2, n, y, -0.7 in descending order.\nAnswer: n, y, -0.7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 9*z = -162. Let p = z - -49. Solve -22*t - 2*t**3 + p*t**2 - 12*t**3 + 4 + 10*t**2 = 0 for t.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 1b?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seven quarters of a kilometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.072605um in nanometers?\nAnswer: 72.605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 1:55 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 0*u + 0*u**2 - 74\/3*u**3 + 0*u**4 - 13\/2*u**6 + 0*u**5 - 14. What is the third derivative of o(f) wrt f?\nAnswer: -2340*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -623167 divided by 4757?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 7. Let o be ((-1)\/s)\/(7\/126). Let i = 12 + o. Let b(u) = -u**3 + 4*u**2 - u - 1. What is b(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**9\/(c\/((c\/((c**(-2\/35)\/c)\/c))\/c)))\/(c*c**3)**(-37) assuming c is positive.\nAnswer: c**(5532\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 150210\/7 (b) 2\/11 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.75 + 1449\nAnswer: 1449.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49673 - -11180. What is b rounded to the nearest one thousand?\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101 * 0.4\nAnswer: -40.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 110000000101000110100 (base 2) to base 16\nAnswer: 180a34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12 - 7 - 2*r + 11 + 0*r + 2*r - 4*r + (3*r + r - 3*r)*(-1 - 1 + 0) - 6*r - 2*r + 0*r - 2*r + 2*r + r.\nAnswer: -13*r - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36.7 + -32.7. Put -2, 0.007, 0.4, u in decreasing order.\nAnswer: u, 0.4, 0.007, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325189 is divided by 108393.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -142551 (base 6) in base 12?\nAnswer: -7a57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/51 - -8979*(-8)\/(-204). Let q be 250\/875 + a\/(-1134). Is 1 not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -8*a**2 + 96*a - 3. Calculate j(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + (8 - 0) - -4. Solve -4*r = -f, -5*b - 6 = -b + 3*r for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h + 2. Is w(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 6*s + 15. Let k be u(8). Suppose 0 = 6*q + 5 + 19. Let f be (-4)\/6*(-3)\/q. Which is the closest to k? (a) 0.5 (b) f (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1263436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 662 - 659. Suppose 5*w - x = 12 + 2462, d*w - 2*x = 1490. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sqbpqbkk. What is prob of picking 1 q and 1 s?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/56 and 0 + ((-265)\/(-245) - -2) - 2.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -60*p + 34*p + 5*p**2 + 28*p. What are the prime factors of k(-3)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -234.5 times -0.3?\nAnswer: 70.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2153117 litres?\nAnswer: 215.3117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011001 + -110000?\nAnswer: -101001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10739236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (7 - (-4 + 5))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14874 and 52059?\nAnswer: 104118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -73\/10724 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 319 - 322 - -4 - (2 + -1 + -1 - 88)?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.36 * 16650.\nAnswer: 5994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397866009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2701\/617 greater than or equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -7*l**3 - 75*l**2 + 870*l - 3459. Let v(k) = 10*k**3 + 76*k**2 - 872*k + 3460. Let s(r) = -4*h(r) - 3*v(r). Factor s(u).\nAnswer: -2*(u - 12)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 7*o - 30. Calculate z(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 49118 = 2*j + 6531, -j + 5*k + 21300 = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*z**3 + 37*z**3 - 97*z**3.\nAnswer: -16*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4568527, 9137055, 13705595, 18274153, 22842735?\n\"Answer: l**3 + 4568521*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11.165 - -10.165. Which is the nearest to 18? (a) 0.2 (b) -0.3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3062108 to the power of 1\/3, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 3*j**2 - 3*j + 6. Let o(l) = l**3 + 3*l**2 - 34*l - 4. Calculate the remainder when o(-7) is divided by m(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4995*u**3 + 24974*u**2 - u + 6. Calculate f(5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-17 + -3)*-1*-2. Is 9054\/14 - t\/140 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 + 101. Let y(f) = -42*f - 1. Let o be y(-2). Let c = o - 58. Calculate the remainder when n is divided by c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -356.196185 - -356.2. What is v rounded to 4 decimal places?\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 14\/(-4))\/((-702)\/36).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {s: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + 4. Let r be 1\/2*(x - 3). Suppose r*w + 4*y = -0*w + 16500008, w + 5*y = 5500010. What is w rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**2 + w + 2. What is the remainder when b(-3) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2 = 5*m, c - 2*m = -6*m - 1. Suppose -5*h = j + 11 - 3, 3*j + 4*h = -2. Let k be (414\/(-12))\/(-1 + c\/j). What is k rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 199307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 4*r**2 - 2 + 8*r**2 + 5*r + 0*r**3. What is the units digit of y(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 43, 44, 45?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14267 + -14261.9. Which is the smallest value? (a) -2 (b) 11 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 7*f**4\/4 - f**2 - f - 4. Give t(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1030102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 995 = -6*g + 989 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -45, -66, -75, -66, -33?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in micrograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 96 + -115. Let g = 1.6 - -19.4. Let x = z + g. Which is the third smallest value? (a) 2\/7 (b) -2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 divided by 230\nAnswer: -7\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -723094295*s**4 + 4*s**2 - 4*s + 51350 wrt s.\nAnswer: -17354263080*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11834 (base 9) in base 15?\nAnswer: 2564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**4 + 3*d**3 + 3*d + 31. Let x(b) = 2*b**4 + 5*b**3 + 5*b + 61. Let f(c) = -5*m(c) + 3*x(c). Differentiate f(z) with respect to z.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/6 in -1, 3\/119, -5?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 6963?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1172 by -293.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 159667, 0, -5 in increasing order.\nAnswer: -5, 0, 159667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -4*y + 1. Let z(g) = -16*g + 2. Let j(t) = 3*p(t) - z(t). What is j(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a. Suppose -5 = -t, 0*t + 23 = 4*n + 3*t. Let f(q) = 4 + 0 - 4 + 2*q**n. Give g(f(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 3*(-1 + sqrt(1573)) + (5*sqrt(13)*-3 - -4*sqrt(91)\/sqrt(7)) + -1)**2.\nAnswer: -176*sqrt(13) + 6308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/20*(-5 + 28 - 18) - 1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 1161354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -6 + 3 + (-18 - -10)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 29*q - 2. Let n(x) = 14*x - 1. Let k be ((-3)\/(-4))\/(1\/(-4)). Let p(c) = k*y(c) + 7*n(c). Let b(f) = -7*f + 55. Let t be b(8). Determine p(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84 and 65989224?\nAnswer: 65989224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a. Let t be d(2). Suppose 6*v = t*v + 6. Suppose 5*w - 5 = -v*c, 0*w + 32 = 3*w - 4*c. Calculate the least common multiple of w and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -593*h + 912*h**2 + 298*h + 297*h - 932*h**2.\nAnswer: -20*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1545437a2 - -4?\nAnswer: 1545437a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1611\/2 - 770. Find the common denominator of -4 + 1 + (165\/9 - -1) and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - j**3)*((259 + 192 - 159)*(0*j**2 + 0*j**2 + j**2) + (2*j + 3*j - 3*j)*(2*j + 3*j - 4*j)).\nAnswer: -294*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -4*n + 1 + 3, 6 = 5*n - 4*w for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.5 - 7.5. Let t = -8 - k. Let i = -0.6 - 0.4. What is the closest to t in -4, -2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5*u = 285, 5*p - 4*u = 100 + 189. Let b = p - 65. Let v be (1*4)\/(1\/((-3)\/b)). Solve -3*i + 4*l = -5*i - 8, v*i - 4*l = 18 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 217 = -641. Suppose 0 = 70*g - 72*g + 72. Calculate the remainder when o is divided by g.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12057)\/(-6) - (88\/(-16) + 4). Solve -y*b - 12 = -2013*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2918378 is divided by 2406.\nAnswer: 2306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 9*l + 6. Let i(t) = 2*t + 1. Let p(a) = 21*i(a) - 4*j(a). Determine p(-4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + (-4 - (25 + -15 + (14 - -61))).\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -29*p**5\/5 + p**4\/8 + p**3 + 336*p**2. What is the second derivative of l(h) wrt h?\nAnswer: -696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 6*a + 103 = -2*p, -4*p = 5*a - 79. Suppose a - 4 = 5*y. Let x(o) = o**3 - 4*o**2 + 4*o - 3. Determine x(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 559863?\nAnswer: 3, 62207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1985*y + 210 = 1996*y + 67 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48 - -68. Let l be 8\/t - (-23)\/5. Suppose 109 - 19 = l*o. Is o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-6*-5*(sqrt(605)*1 - sqrt(605)) - (0 + -6*sqrt(605) + sqrt(605) + 4))**2.\nAnswer: -45423 + 1320*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/345 + 2056\/2415. Which is smaller: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 45*h - 5556. Let j be v(123). Let y(l) = -2*l**3 - 40*l**2 + 44*l + 33. Determine y(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0784 times 382\nAnswer: -29.9488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5925525255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*i - 136 = -100 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79175, 158063, 236939, 315797, 394631, 473435, 552203?\nAnswer: 630929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**2 + 602960*j - 602962 = 0. Calculate j.\nAnswer: -301481, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 10254 and 9527 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 630466 is divided by 127?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 314*w**2 + 12 - 10 - 2.\nAnswer: 314*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 32588667 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -10*j + 9. Let p(k) = k + 10. Let d(o) = -11*o - 11. Let b(f) = d(f) + 2*p(f). What is 6*b(m) - 5*x(m)?\nAnswer: -4*m + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39112 and 9264.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d - 9. Let f(r) = r**3 + 5*r**2 - 5*r. Let s be f(-6). Let u be g(s). Calculate the highest common divisor of 1 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/9, 46, 0.1, 1030?\nAnswer: 1030","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 6.4. Let i = b - -1.4. Let k = 0.964 + -8.964. Is k < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h**3 - 6*h**2 + 6*h - 10. Let f be k(-6). Let p = f + -335. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 1, -2493, -7, 4.\nAnswer: -2493, -7, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 27774, 27799, 27824?\n\"Answer: 25*z + 27749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + -4358017535.\nAnswer: -4358017534.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f - 5. Suppose 3*b = 3*w + 15, 0 = -0*b - 4*b + 5*w + 19. Let t be i(b). Let o(v) = v**3 - v. Let k be o(t). Put 5, k, -2 in decreasing order.\nAnswer: 5, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1331316013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does -130 = -56230.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6820\/330*18\/(-12)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 278.2 + -278.3173. Let g = 79.9827 - d. What is g rounded to zero decimal places?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 936 and 296?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -3*l - 5*x, -4*l + 22 = -x - 26. Suppose 0 = -9*h + l*h - 105. What are the prime factors of h?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -3*f + 3 - 20, 4*f = 4*j - 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.4 or 6.1268?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 20626595 to the power of 1\/2, to the nearest integer?\nAnswer: 4542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15\/(-10) - (-23)\/2. Suppose 7 = 4*l - 1. Suppose 2*f = 3*d - l*f - 76, -4*d + f = -84. What is the highest common divisor of d and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-21087)\/(-1408) + -12 - 1*3. Let d = g - -155\/1152. Which is the third smallest value? (a) -0.01 (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/2 - 3*s**2\/2 - 33*s\/2 + 35\/2.\nAnswer: (s - 7)*(s - 1)*(s + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 6*n - 48. Let m be b(-8). Let h = m - -102. Solve -5*x + 17 = -u - h, -4*x = -2*u - 22 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + -12*3\/14. Which is the closest to 0? (a) d (b) 2\/3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -13\/3, 0.5, -0.8?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/2 + 9\/2. Let w(j) = -j + 6. Let a be w(s). Suppose a*x + 7 = 23. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -5, -6, 0 in ascending order.\nAnswer: -6, -5, 0, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55 + 73. Let s = o - 77. What are the prime factors of s?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 w when three letters picked without replacement from {c: 1, w: 5, g: 5}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 3*y = 0. Suppose h - 14 + 2 = y. Is 12 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(180) + sqrt(180)*1 + sqrt(180) + sqrt(180))**2.\nAnswer: -11520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of h**3\/3 - 3*h**2 - 12*h + 23. Let c be a(8). Suppose 4*s + 8 = 5*s. Sort s, 0, c.\nAnswer: 0, c, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/3*j - j**2 + j**3 - 1\/3*j**4.\nAnswer: -j*(j - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 10:51 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/6, 146, 44 in decreasing order.\nAnswer: 146, 44, 5, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 30.2? (a) 2\/5 (b) -110 (c) 3 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(390) - sqrt(390)*2) + sqrt(390))\/sqrt(10)*-5)\/(sqrt(15)\/sqrt(5)*3 - sqrt(12)\/(sqrt(4) + sqrt(36))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -616546 + 516?\nAnswer: -616030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-2*(4 + sqrt(32)*2)**2*-4.\nAnswer: -1152 - 512*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17069678 and 284?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/275 and 72\/16835?\nAnswer: 925925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 11) to base 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -143533 (base 7) to base 9.\nAnswer: -42007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2 + 7*u**2 + 1 + 3 as l*u + t + k*u**2 and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 12 + 21. Suppose 0 = j*s + 2*s - 4*w, 3*s - w = 0. Solve 0 = v - 3*v + 4*b - 16, 5*v - 2*b + 24 = s for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**2 + 11 + 32 + 7*z + 4*z**3 - 42 + 3*z - 3*z + z**3 + (2 - z - 2)*(-z**2 + 2*z - 2*z).\nAnswer: 6*z**3 - 2*z**2 + 7*z + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3141501ml to litres.\nAnswer: 0.0003141501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1445423353 - -4?\nAnswer: 1445423401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - b**2 + 1. Let c(v) = v**2 + 68*v**3 - 3 - 134*v**3 + 68*v**3 + 2*v**2. Let j be 40\/7 - (-6)\/21. Give j*o(x) + 2*c(x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 8*g + 1. Let f be z(6). Suppose 38 - f = d. Does 16 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 16, 0.08, 0.4, 4 in descending order.\nAnswer: 16, 6, 4, 0.4, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7489171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2790 + -2567. Solve -4*a + 235 - b = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*w**3 + 9 - 3*w + 2*w + 7*w - 20*w**3 to the form v*w**3 + t*w**2 + a*w + m and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 172464 and 344.\nAnswer: 7415952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 62388763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/30 and -31\/66.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**5 + 3*d**5 - 2*d**5 + (8*d - 11*d + 35*d)*(2*d**4 - 5*d**4 + 5*d**4).\nAnswer: 67*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 22*y**3 + 19*y**2 - 26*y - 123. Let k(w) = -51*w**3 - 38*w**2 + 52*w + 246. Let r(p) = -3*k(p) - 7*n(p). What is r(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -121022021002 (base 4) to base 5\nAnswer: -3142021023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -174.1 and -0.486.\nAnswer: -174.586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238 is divided by 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 8. Suppose 5*q - 4*f - 96 = 0, -2*q - t = 5*f - 13. Suppose 2 = s + u + 1, 2*u = 4*s - q. Solve -s*o + 6*o = 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 644*j**4 + 458?\nAnswer: 2576*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35285 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 3*i**2 - i - 1. Suppose 2*z = -2*z. Suppose b + 4*s + 11 + 4 = z, 0 = b - 2*s - 3. Calculate o(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lwwwlwl. Give prob of picking 3 w.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.410194 litres to millilitres.\nAnswer: 7410.194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -154703 from 38383.\nAnswer: 193086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/61073 and 16\/1727.\nAnswer: 671803","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-1\/3)*s*s**(3\/2))\/((s\/(s**(-8)*s))\/s**(1\/3)))**23 assuming s is positive.\nAnswer: s**(-207\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-58 - -52 - (2 - -4)) + -3 + -2.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16051219 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 8, 0.35, -11, 0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 + 2*q**2 + 3*q**2)*(-q + 2*q - 2*q) + 13*q**3 - 8*q**3 + 9*q**3 - 2*q**3 + 7 - 7.\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 7*l**2 - 5*l + 7. Let d be n(-6). Let g = -0.3 + 0.35. Which is the second biggest value? (a) g (b) d (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2108730000 to the nearest one million.\nAnswer: 2109000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000494 to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 6699083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wjr when three letters picked without replacement from rrrrruujwuuurlrj?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 96223*f**2*q**2 + 2*f**2*y - 44*f*q**2 - 836*f*q*y + y wrt f?\nAnswer: 192446*q**2 + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 84100 or 83157?\nAnswer: 84100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.9947 + 0.0053. Let x = 54 + -808\/15. Which is the closest to 1\/2? (a) m (b) 0.2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p**2 + 52*p - 6*p**2 + 86*p + 5*p**2 to the form r*p + v*p**2 + a and give r.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t + 2183*t**2 - 48 + 46 - 5445*t**2 to n + g*t**2 + q*t and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = r - 56. Let q(m) = 22 - 3*m**2 - 17 + r*m**2. Let h(f) = -6*f**2 - 3. What is -5*h(b) - 3*q(b)?\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -b + 6. Let a be (-4 - (b + 4))*9. Calculate the highest common factor of 27 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 399 and 113628.\nAnswer: 45337572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 3)*(-688*d**4 + 151*d - 64*d - 89*d).\nAnswer: 1376*d**4 + 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(24 + -24 + 10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 114431453 (base 6) to base 3\nAnswer: 11002211112120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16344*s**3*w - 5*s**2 + s*w**2 - 2*w**2 + 17792*w with respect to s.\nAnswer: 49032*s**2*w - 10*s + w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (5 - 8) + -2 + 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 274 and 6?\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3586 times 0.41\nAnswer: -1470.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of 0*x**3 + 1\/7*x**2 - 1\/21*x**4 + 0*x**5 + 0 + 1\/105*x**6 + x. Suppose a(u) = 0. Calculate u.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v*v*v*v*v**(-2\/21)\/v*v))**47\/(v**22\/((v**20*v)\/v)) assuming v is positive.\nAnswer: v**(-1922\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**3\/3 - 2*a**2 - 3*a. Give j(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 + (94 - (-25 - 13)) + -42\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/5 - 12017532*w\/5 - 36105268842756\/5.\nAnswer: -(w + 6008766)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + j. Give z(-4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -225111 take away -0.6?\nAnswer: -225110.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*o**2 + 8*o**2 - 4*o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2867, -2862, -2857, -2852, -2847?\n\"Answer: 5*s - 2872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247*z - 439*z = -306*z + 1368 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2546, -3384, -4728, -6536, -8766, -11376, -14324, -17568?\n\"Answer: 7*g**3 - 295*g**2 - 2*g - 2256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2 - 310*t - 56*t + 70*t - 2. Let a(c) = 2*c. Determine a(n(h)).\nAnswer: -592*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.028433 - 58.114433. Let g = s - -58. Let o = g + 0.08600102. What is o rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 288 - 288587?\nAnswer: -288288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, a: 1, q: 1, s: 2, d: 2}. What is prob of picking 2 s?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -22800120.7 + 2\nAnswer: -22800118.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 9 = -16. Let d = -6 - y. Which is the nearest to 0? (a) 0 (b) -0.1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103626 is divided by 34535.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 8*q**2 - 3*q - 10. Calculate z(-2).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4853.19175 rounded to the nearest 100?\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (3 + 7 + (-2 - 2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 98?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27291922, -27291929, -27291936?\nAnswer: -27291943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -52, -73, -92, -109, -124, -137?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 88952 - -5?\nAnswer: 88957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 28*g + 55. Calculate w(-4).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 3:21 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - (-5)\/2)*(1 - 9). Suppose x + 14 = -2*d + 941, -4*d - t*x = -1848. Is ((11 - 7)\/12)\/(1\/d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 1029*p**2.\nAnswer: 1029*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/(-21)*-7 + -2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o**3 - 2*o**2 - o - 2. Let f be z(2). Suppose 2*m - f = v + 3*v, 3*v = -5*m + 24. Suppose 0 = m*r + 2*r - 72. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 887, 124, 4, -8 in decreasing order.\nAnswer: 887, 124, 4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + d - 305, 4*i + d + d - 238 = 0. Let w = -70 + i. Let g(y) = -y**2 - 6*y + 10. Determine g(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.05 - 1.7. Let u = -0.6499943 - w. Round u to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a millennium in decades?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -185 - -192. Let t(j) = j**2 - 8*j + 3. Determine t(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -317\nAnswer: 3\/317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/(-15))\/(-4) + 323\/(-510))\/(-8)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -287955, 4, 6\/7, 0.4, -1.3 in increasing order.\nAnswer: -287955, -1.3, 0.4, 6\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, 5, 26\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -42 + 95905?\nAnswer: 95863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 14*l**2 - 19. Let b(r) = -8*r**2. What is b(u(k))?\nAnswer: -1568*k**4 + 4256*k**2 - 2888","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in 8, 1\/2, 4, -0.1, -762, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 7. Suppose g = -4*z + 60, -295 = -g - 3*g - 5*z. Let y be g\/30*(-3)\/(-4). Solve y*v + j - 5 = 2*j, -v = -u*j - 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/134907 and -187\/30?\nAnswer: 1349070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2716428417 to the power of 1\/3, to the nearest integer?\nAnswer: 1395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -16, 5, 34, 65, 92, 109, 110?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 368767416 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 45828 a multiple of 228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 30\/4423 or 0?\nAnswer: 30\/4423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79145097?\nAnswer: 3, 103, 256133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (1 - 12)) + -19?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -17*y**2 - 11*y - 5. Let o be x(-7). Let d = 321 + o. What is d rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence slst when four letters picked without replacement from lstlltlllttlts?\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -1\/12*h**4 + 0*h**3 + 0 + 1\/30*h**6 + 4*h**2 + 0*h**5 + 0*h. What is the second derivative of n(z) wrt z?\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 + 42*g + 17181.\nAnswer: -3*(g - 83)*(g + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/8 + 32*w + 3159\/8.\nAnswer: (w + 13)*(w + 243)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**3 + 64*f**2 - 216*f - 67. What is p(-35)?\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -2\/5, -326?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 45951120 to the nearest one million.\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -108*g**4*k**3 - 1055*g**2*k**3 + 3380*g*k**3 - 396*g*k**2 wrt g?\nAnswer: -1296*g**2*k**3 - 2110*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -888*q + 888*q - 18*q**2.\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44 (base 5) to base 8.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2934400 divided by 1600?\nAnswer: -1834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n - 11*n + 22938*n**2 + 23*n + 17*n.\nAnswer: 22938*n**2 + 26*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -298 + 330. Calculate the remainder when 55 is divided by (l\/6 - 6)*(-1 + -26).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x = 14*x - 25 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -141862688, -283725378, -425588080, -567450800, -709313544?\nAnswer: -851176318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -12\/2497, 0.4, -1, 2\/27, 5 in increasing order.\nAnswer: -1, -12\/2497, 2\/27, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37070 and 144650?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from sssvvsvsssssssvaavs.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 0*h, 0 = -5*o + 2*h - 50. Let c = -6 - o. Calculate the remainder when 5 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*x**4 + 310*x**3 + 12495*x**2 + 81530*x + 25800 = 0. What is x?\nAnswer: -12, -10, -1\/3, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 2:12 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2041312832 + 2041312840.99000403. Let v = 23.32 + -14.33. Let n = p - v. What is n rounded to seven decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*j + 45*j = -5*n + 392, -2*n + 148 = -3*j. Solve -5*c - n = -21*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 10 + 10. Suppose 0*k - 75 = -q*g - k, -78 = -4*g - 2*k. Is g a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -622, -155, 1272, 4127, 8878, 15993, 25940, 39187?\nAnswer: 56202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 4*q. Let n(z) = -113*z**2 - 3*z. Give n(p(l)).\nAnswer: -1808*l**2 - 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aga when three letters picked without replacement from {a: 2, g: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3. Let q(t) = 18. Let h(i) = 34*j(i) - 6*q(i). Let c(y) = -1. Let u(x) = 5*c(x) - h(x). Let m(p) = -4*p - 2. Calculate m(b) + 2*u(b).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 976002?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/340 + (-831)\/272 and -23\/90.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (3 - (4 - -3)) - -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 922579249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 587*l + 296*l**2 - 395*l**2 + 570*l**2 wrt l?\nAnswer: 942","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -290, -47, 28 in ascending order.\nAnswer: -290, -47, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 2*g + 2*g**2)*(-11*g + 78 - 78) + 0 + 0 - g**3.\nAnswer: -23*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11\/3 - 1\/(-3). Suppose 4*s = -5*f + 7, 4*s + 20 = -0*f + o*f. Let x = 15 - 12. Solve -3 - x = -f*l + 3*v, -3*l - 18 = 5*v for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -0*f + 10. Let y(k) = k + 1. Determine y(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -s**3*x**3 - s**3 - 602*s**2*x**3 - s*x**3 - 3*s*x**2 + 615*s*x + 2*x**3 wrt s?\nAnswer: -6*s*x**3 - 6*s - 1204*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -3a?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -747.130755 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -776 divided by 4\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 5)*(4*m - 4*m + 2*m) - 2110*m + 12 + 13 + 2092*m - 11 to the form b*m + r and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + c**2 - 2*c - 4. Suppose 0 = 2*j + 2*n - 4, 3*n - 5 = -j + 7. Let b be s(j). Find the common denominator of -38\/15 and (-5)\/24 + 15 + b.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2 - i - 2. Suppose -39*m = -49*m + 30. Let j(n) = 3*n**2 - n - 3. Let v(b) = m*j(b) - 4*x(b). Give v(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1505 and 39318985.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggg. Give prob of picking 2 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 1 (b) -1\/2 (c) 3 (d) -39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3377141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5 = -17. Let k = z + -17. Solve 0 = k*j - 3*j + 2*q + 2, -5*q = -15 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169 - 22*t**3 - 169.\nAnswer: -22*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6 + 1 - (-3 + 1). Let g be 26\/(1 - (2 + i)). What is the greatest common divisor of g and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -47*z + 116*z + 33*z + 383 + 418 + z**2 - 27*z. Give i(-62).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -708 + 744. Calculate the lowest common multiple of 36 and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11194 to the power of 1\/2, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - -20c7d?\nAnswer: 20c77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**11)**(-20)*(z**10)**17)**27 assuming z is positive.\nAnswer: z**9990","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l + 1. Let q(d) = 1. Let a(m) = -2*q(m) + y(m). Determine a(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*v = -17*v + 546 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/3002 and -11\/570?\nAnswer: 45030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 5:08 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -95, -161, -265, -407, -587?\n\"Answer: -19*s**2 - 9*s - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 2 (c) 221 (d) -3\/8 (e) 0.75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -181, -0.2, -7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u + 3*u + 2*u**2)*(-3*u + 0*u + 9*u) - 33*u**3 - 32*u**3 + 63*u**3 to the form x*u**3 + q*u**2 + c*u + b and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16598, 33183, 49792, 66437, 83130, 99883, 116708, 133617?\nAnswer: 150622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -u**4\/108 - 7*u**3\/54 + 114*u. Factor l(r).\nAnswer: -r*(r + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -19*k**2 + 2*k. Suppose 0 = 4*z - 2*t - 10, -7*z - 2 = -10*z - 4*t. Let j(r) = -r**z + 60 + 52 - 112 + 4*r**2. Calculate w(j(c)).\nAnswer: -171*c**4 + 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c*t**2*x**3 - 25*c*t**2 + c*t - 29*t**2*x**3 + 13*t*x**3 - 5*t*x**2 - 11 wrt x?\nAnswer: -12*c*t**2 - 174*t**2 + 78*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 57, 0, -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -810, -800, -776, -732, -662?\nAnswer: -560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 439145 and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 202, 426, 716, 1066, 1470, 1922?\nAnswer: 2416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckkkkckk. What is prob of sequence ck?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.16847 and 12294511?\nAnswer: 12294510.83153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5909 is divided by 1541?\nAnswer: 1286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) 3 (c) -4 (d) 86 (e) -55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 46540.\nAnswer: 1\/9308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*((-33)\/(-18) + (-1)\/3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-6*sqrt(612) + sqrt(1700) + 2) + -5)**2.\nAnswer: -156*sqrt(17) + 103429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 715 - 820 - (-4 + 9 + 10).\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (-6*(sqrt(120) - sqrt(120)*-2))\/(6*(sqrt(10) + 2*sqrt(10))))*1)**2.\nAnswer: -20*sqrt(3) + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Convert 2.564955 meters to micrometers.\nAnswer: 2564955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 11:32 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -77. Let w(i) = -i. Let c(r) = -13*r - 18. Let o(q) = c(q) - 6*w(q). Calculate the remainder when a is divided by o(-7).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from luogkog. What is prob of sequence kl?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 2*v - 1. Let d be b(-1). Suppose 2*t + 3*m = 308, t + t - 304 = -d*m. Suppose t + 98 = 2*r. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.407 times 46589\nAnswer: -112139.723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/10*(-15)\/(-90)*-15 and 121\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o + 4. Let z(w) = -17 - 32*w + 36 - 14 - 20 + 12*w. Calculate 15*y(i) + 4*z(i).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -835, -828, -809, -772, -711, -620, -493?\nAnswer: -324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 48.51268 centuries?\nAnswer: 58215.216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - 14) + 18 + 19\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 340 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 109*1 + -9 + (-11 - -18). Does u = 106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28689037?\nAnswer: 13, 211, 10459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -2*k + 911546 - 4791526, -5*k - 3*c = 9699988. What is k rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 200 and 21952\/109 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/4*16*12\/9. What is the third derivative of -101*q**3 + 0*q**2 - 2*q**2 - 468 + z*q**3 - 51*q**3 + 597 wrt q?\nAnswer: -720","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (73 - 14 + 18)*(56 - 10 - 22)*(-g**2 + 2*g**2 + 2*g**2) to v + u*g**2 + h*g and give u.\nAnswer: 5544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(6\/(-28)*7)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**2 + 2*h - 1. Let s be p(1). Let n = -87.84 + 85. Let d = -0.84 - n. Which is the nearest to 2? (a) -4 (b) d (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (69\/9 - 8)\/((-2)\/9114)?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 15. Suppose -29 + c = -5*v. What is the second derivative of -l**2 + l**2 - 4*l**5 + l**v - 2*l wrt l?\nAnswer: -60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 16*x**2 + 5*x - 5. Let p(d) = -24*d**2 - 7*d + 7. Suppose -2*v - 6 = -4*k - 8, -12 = 3*v - k. Give v*p(u) - 7*c(u).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-108)\/48*2)\/(4\/(-8)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -658*h - 5*y + 1087629 = -657*h, -2*y = -16. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -66, -3 in descending order.\nAnswer: -3, -4, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 259, 0.3, 161?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 456315564?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -1. Let l(o) = -o + 10. Let h(g) = l(g) - 6*q(g). Let m be h(-14). Suppose u - m = 39. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 3*a - 46, 0 = -5*a + 2*a + 6. Let x(d) = d - 3. Let b be x(j). What is the tens digit of (-76)\/(-1) - (b + -5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (4 - 7)\/(-3). Let v(t) = 35*t**2 - 3*t - 4. Let d be v(i). Solve 0 = 5*s + 3*j + d, j + 1 = -2*s + 4*j for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 19, 0, 3\/7, -23.97?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -v**3\/3 - 7*v**2\/2 - 7*v - 9. Determine r(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of -t**7\/63 + 2*t**6\/45 + t**5\/6 - t**4\/3 - 6*t - 10. Suppose k(q) = 0. Calculate q.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9470*n**2 - 12062*n**2 + 21523*n**2.\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 p, and 1 a when three letters picked without replacement from upqkaquj.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-38 - 1) - (71 - (101 - 47))\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express h**2 + 2*h**3 + 2*h - 3 + 5 + 1 in the form q*h**2 + o*h + a*h**3 + r and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2471655l?\nAnswer: 247.1655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/132)\/(-5)*1.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-eight thirds of a minute?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1602 - 1502.35. Round n to the nearest integer.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -8*p - 52. Let s be d(-7). Let w(r) be the third derivative of 8*r**2 + 0*r - 7\/30*r**5 + 0*r**s + 0*r**3 + 0. Let f(m) = 2*m. Give f(w(h)).\nAnswer: -28*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*p - 5. Suppose 0 = -4*a - a + 15. Suppose -3*x + 4*m = -4*x - 1, -2*x + 9 = -3*m. Solve 3*z = d - x, 25 = p*d + a*z + 10 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -88*q + 2017. Does 3 divide p(21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/54 and -59\/696.\nAnswer: 6264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.05 + -0.1. Let k = h - -0.05. Let m be (-4)\/(-16) - 34\/40. Which is smaller: k or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/6*(-2 + 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 745, 1495, 2245?\n\"Answer: 750*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(153) - sqrt(153)*2*1) + -5*sqrt(153)*1)*-1)\/(-4*3*sqrt(144)*2).\nAnswer: -sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of 88*c**5\/5 - 18*c**3 + 68. What is the third derivative of h(z) wrt z?\nAnswer: 2112*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 34501 + 1021?\nAnswer: 35522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(-20) + 867\/4. Suppose -5*t - 157 + w = 0. Let q = 306 - 174. What is the greatest common factor of t and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w + 9. Let h(c) = -745*c + 385. Let x(d) = h(d) - 2*l(d). What is the first derivative of x(u) wrt u?\nAnswer: -743","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 - -43?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 67*h - 867. What is a(-17)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 4*i**2 + 3*i + 2. Let r be l(-3). Suppose -w = r*w - 3. Is w <= 5\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/((r\/(r**(-3\/5)\/r))\/r)*r**(3\/4)*r**(-3\/4)*r**(2\/5) assuming r is positive.\nAnswer: r**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 970*p - 1130*p = 320 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**5\/5 - 5774*c**4\/5 - 6457506*c**3\/5 + 12932326*c**2\/5 - 6469048*c\/5 = 0.\nAnswer: -863, 0, 1, 3748","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 49567 + 44490.75\nAnswer: 94057.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and 1.37255346093.\nAnswer: 1.37255346093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5176473 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 91 = -3*r. Suppose -4*u - r*q + 8*q = 1149, 2*u + 572 = -2*q. Which is smaller: u or -288?\nAnswer: -288","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (402\/77 - 6)\/(2\/(-49)). Which is smaller: 18 or u?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*s - 42*s - 60. Let q(o) = o + 1. Let t(k) = 2*k + 2. What is s*q(l) + 6*t(l)?\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9095570 and 1936.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04772 + -0.95228. What is the closest to 0.1 in -2, 6, -0.1, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v*v*v**9*v*v\/(v\/(v*v**(-2\/53)))*v*v assuming v is positive.\nAnswer: v**(846\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppf when three letters picked without replacement from {p: 3, i: 2, g: 1, f: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 87396\/51851?\nAnswer: 87396\/51851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 8*u**2 - 8*u + 5. Let i be p(5). Is i*(-3 - 10\/(-3)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 at least 93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 119 + -79. Suppose 4*v = 69 - 5. What is the lowest common multiple of v and s?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c**2 + 27*c - 10. What is the smallest common multiple of w(8) and 18?\nAnswer: 3582","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 142, 149, 170, 211, 278, 377, 514, 695?\n\"Answer: o**3 + o**2 - 3*o + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 622.1123 centuries in millennia?\nAnswer: 62.21123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-4) + 33\/(-6). Let n be (1\/(-3))\/(8\/(-120)). Let r = f + n. Solve -5*v - 5*c - 20 = r, -v - 4 = -0*v + 3*c for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, -3\/4, 2\/15, 1\/153, -0.3?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 82*v - 8)*(-5 + v + 5)*(v - 4*v + 4*v) in the form j + u*v**3 + w*v + y*v**2 and give u.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 24*y**2 + 52*y + 141. Determine i(26).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31 + 241?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - -9. Let i = -7 - -11. Suppose -5*u + 6*u = i. What is the least common multiple of u and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/1701 and -59\/1458.\nAnswer: 10206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -397784256+-0.8314\nAnswer: -397784256.8314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oooc when four letters picked without replacement from {o: 5, c: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in four thirds of a week?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-5 + 3)*8. Let g be (-20)\/w*(0 - -1). Let n = g + 11\/4. Which is the closest to n? (a) 1 (b) 3\/4 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by 5602633.\nAnswer: 23\/5602633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 22*q + 2. Let b be c(7). Let t be (1 - (-4)\/(-8))*10. Suppose 0 = t*r + b - 1061. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145 divided by -44.\nAnswer: 145\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 7:47 PM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -81, -108, -135, -162, -189?\nAnswer: -216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -272*s**2 + 300*s - 28.\nAnswer: -4*(s - 1)*(68*s - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11867651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.53 + -1.5. Let f = z - 0.0300015. Round f to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**5 + q - q + (2*q**5 - 2*q**5 + 2*q**5)*(-2 + 4 + 5).\nAnswer: 18*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u + 4. Let w be o(-1). Put w, -0.5, -6\/5 in decreasing order.\nAnswer: w, -0.5, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u + 7. Let m be h(6). Let s = m - 23. Solve -3*f - s = -f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from xuxluxuxxulx.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.28844l to millilitres.\nAnswer: 77288.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 6*m + 9. Let x(w) = 18*w. What is a(x(p))?\nAnswer: 108*p + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.014 minus 79.59?\nAnswer: -82.604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 4*k**2 + 9*k - 9. Calculate s(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbpbbbxbpbpbbbx. Give prob of picking 2 x.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.706301579 rounded to four decimal places?\nAnswer: 4.7063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.55996541 rounded to three decimal places?\nAnswer: -0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 13622532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 1473*v - 1502. Let c(l) = -2*l**2 - 4421*l - 4504. Let u(o) = -6*c(o) + 17*d(o). Factor u(x).\nAnswer: -5*(x - 298)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 56, 144, 306, 566, 948, 1476?\nAnswer: 2174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 + 49. What is the remainder when 42 is divided by p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 3:08 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.885145 or -6\/17?\nAnswer: -0.885145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3659*f**3 + f**2 - f + 46. Is m(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 48*y**2 - 198*y - 519. Calculate w(52).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -1, 10, -38, -5 in decreasing order.\nAnswer: 10, 7, -1, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 5*j + 7. Let y(q) = 4*q + 35. Suppose -4 + 11 = -x. Let s be y(x). Calculate b(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 35*s**2 + 144*s + 18. Calculate l(-4).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.011 + -0.254. Let x = -0.24813 + -0.03177. Let f = x - m. Round f to three dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 42*p - 349. Let j be i(9). What is the highest common factor of j and 725?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 104.2, 0, -10, 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153940447.\nAnswer: 153940447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 35532 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 146168975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -25. Suppose -3 = -4*c - n. Let k be 0\/(4 + (c - 0)). Solve k*z = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14*(-28)\/56*(40\/4)\/2?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -14774 from 24956675.\nAnswer: 24971449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1069*i + 2*i**2 - 1073*i + 3216*i - 71 - 1076*i - 54 to k + n*i + f*i**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 183*w - 64*w + 81158 = 0. Calculate the remainder when w is divided by 74.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.35 times 3.35\nAnswer: -1.1725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -20*t**2 + 101*t + 794. Give h(-7).\nAnswer: -893","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3496, -3501, -3508, -3517, -3528?\n\"Answer: -h**2 - 2*h - 3493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + a + 3*l - 379 = 0, -2*l - 1861 = -5*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 151*f**2 + 33*f + 34. Calculate the remainder when i(-1) is divided by 78.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -7. Let m = -2 - l. Suppose -m = -2*n - 0*n. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261567755 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2853)\/1585 - (-14)\/(-5).\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -69 - -58. Let y be (6\/(-8) - z\/4)*1. Put 5, y, 3 in increasing order.\nAnswer: y, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4464 and 1332.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*s - 118*s + 20671 - 1316 = 0. What is the remainder when s is divided by 34?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/640 + 2\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -13*u**2 - 61*u + 16. Calculate j(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 5*i + 48, -3*i = 5*u - i - 27. Suppose j + 32 = 4*x, u*j = 2*x + 3*j - 30. Calculate the greatest common factor of 35 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -79 - -234. Let n = 154.678 - o. Let j = 0.13 + n. Round j to two decimal places.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 64009 and 64009 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30998.\nAnswer: 2, 11, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n - 7*n = 0. Solve n*y - 2*y - 4 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.82 - 42.62. Let t = n + 39. Which is the nearest to 0? (a) 1\/4 (b) 0 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 3*q**2 + q - 5. Let o = 3 - -1. Does 14 divide t(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k*k**12\/k*k)\/(k**(-6)*k))\/(k**(5\/6)\/k**(5\/4)))**(1\/26))**38 assuming k is positive.\nAnswer: k**(4427\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**2\/f)**(-26))**43\/((f**(2\/3)\/f)**8)**(-12\/7) assuming f is positive.\nAnswer: f**(-7858\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1207585 is divided by 8048?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/51852 and -65\/3944.\nAnswer: 1762968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 248 - 3*t - 1020 - t + 223 + 306 + 243.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9904840 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 take away 52?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f + 61. Is d(-11) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 464893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lppllplllppllpllll. Give prob of picking 4 l.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(-2*sqrt(228) - sqrt(228) - sqrt(228))*-4*-1)\/((sqrt(132) + (2*sqrt(132) + sqrt(132))*-2)\/(sqrt(1100)*1 - sqrt(11))))**2.\nAnswer: 6303744\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*s = -i, -s = -4*i + 6. Let u = i + 10. Let x be 8\/u + 2\/6. Are x and 1\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0641 and 9.604.\nAnswer: 0.6156164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3503585 + -5072625. Let b = -1569046.000005 - i. Let l = b + 6. Round l to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 7*s**2. Let t(x) = 4694431*x. Give j(t(u)).\nAnswer: 154263776896327*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*t**3 - 7226*t**2 + 912*t + 65817787 wrt t.\nAnswer: 12*t**2 - 14452*t + 912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 3*g + 13, 0 = -5*n - 3*g - 22 - 7 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 641831154 rounded to the nearest 1000000?\nAnswer: 642000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 903996*j + 20. Let d(q) = -q**3 - q**2 + q + 5. Let n be d(0). Let z be w(n). Round z to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 n, 1 s, and 1 c when four letters picked without replacement from {n: 2, c: 6, w: 3, s: 1, b: 1}.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times 107.8328?\nAnswer: -862.6624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -5. Let d(c) = i + c**2 + 2*c**2 - 2 - c + 2*c**2. Let q be d(-1). Solve -4*j + 3*x + 8 = 0, 7 + 8 = q*j - 5*x for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 13*c**2 - 21*c - 7. Let n be f(11). Suppose 12*a + 2*h + n = 11*a, -2*a = -5*h - 19. Solve -14 = -j - 3*q, -a*j + 7 = -0*j - q for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -8*o**6\/3 + 13*o**3\/3 + 14. What is the third derivative of j(s) wrt s?\nAnswer: -960*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -475, -3882, -13097, -31012, -60519, -104510, -165877, -247512?\n\"Answer: -482*t**3 - 12*t**2 + 3*t + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 8*j + 4*v + 30169, -10038 = -j + 5*v. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12009 (base 12) in base 7?\nAnswer: 130362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 33.4, -2\/11, 0.1 in descending order.\nAnswer: 33.4, 0.1, -2\/11, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 5, -86 in descending order.\nAnswer: 5, -1, -3, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u. Let v(p) be the third derivative of -19*p**8\/2880 - 83*p**5\/60 + 143*p**2. Let d(o) be the third derivative of v(o). Calculate l(d(n)).\nAnswer: 266*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8156*g**2 - 120*g**5 - 607*g**5 + 7859*g**2 + 4*g wrt g.\nAnswer: -43620*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6247.525 tonnes in grams?\nAnswer: 6247525000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 331*b**3*d - 73550690*b**3 - 75104*b**2*d**3 wrt d?\nAnswer: 331*b**3 - 225312*b**2*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2 - -1)*-178)\/2. Suppose 3*o + 2*w = m, 128 = 4*o + w + 11. What are the prime factors of o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**2 - 114*a + 112 = 0. What is a?\nAnswer: 1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of 0*o**5 - 11\/10*o**6 + 0 + 0*o**3 + 18*o + 0*o**4 - 8*o**2. Differentiate r(j) wrt j.\nAnswer: -132*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 843656 and 5905592?\nAnswer: 5905592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -694*p**4 - 47*p**2 + 169714*p?\nAnswer: -8328*p**2 - 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2012917 a multiple of 2127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*d + d = 126780. What are the prime factors of d?\nAnswer: 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 7903*g**3 - 3*g**2 + 2171*g + 1. Let y(n) = 15805*n**3 - 5*n**2 + 4342*n + 1. Let v(x) = -5*i(x) + 3*y(x). Find the second derivative of v(r) wrt r.\nAnswer: 47400*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4304\/485 + 5\/194. Calculate the common denominator of 1 + (-382)\/(-24) - (-1)\/(-4) and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_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: What is 3053128 to the power of 1\/3, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -266*b**4 - 5*b**3 - 2*b**5 - 3*b**3 + 157*b**4 - 4*b**5 - b**2 + b**2 + (-5*b - 2*b**4 + 5*b)*(-4*b + 4*b + 2*b).\nAnswer: -10*b**5 - 109*b**4 - 8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 24 - 12 = 0. Suppose 4*c - 3*c + v = 0. What is the units digit of c\/(-5)*(-20)\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of x**4\/4 + x**2\/2 - 5*x. Let p = 26 - 3. What is the remainder when p is divided by v(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10211110201 (base 3) in base 13?\nAnswer: 28444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 12*x**2 - 7*x - 63. Let q be h(-12). Suppose -t + q*t - 620 = 0. Calculate the remainder when 121 is divided by t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.61002 litres in millilitres?\nAnswer: 97610.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5c66 (base 13) in base 15?\nAnswer: 3d32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + h + 2236, 2*c = c + 2*h + 440. Suppose -24*p - c = -32*p. What is the greatest common factor of p and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of 0 + 7\/60*c**5 - 1\/8*c**4 + 8*c**2 + 0*c**3 + 0*c. Find the second derivative of m(a) wrt a.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z + 5. Let c be v(-5). Suppose 3*s - 6*s + 15 = c. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.41776 - 593835.\nAnswer: -593830.58224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 24 = 2*f, -4*r - 33 = 5*f + 55. Let a = f + 19. Solve -2*c = 5*y - 16, c + 4 = -a*y + 14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244322 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.06, -721, -0.1, -0.2?\nAnswer: -721","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - -758977.89?\nAnswer: 758990.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 25*w**2 - 16*w + 16. Let k be g(25). Let v = -80 - k. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*g - 95685 - 91315 = 0. Suppose 58*z = 3*z + g. Is z a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/3)*o*o\/(o*o\/o**(-2\/13)*o*o*o))\/(o*o*o**(1\/3))**(20\/9))\/((o**3\/(o*o*o**(4\/9)*o*o))\/((o\/o**(-6))\/o**(-3))) assuming o is positive.\nAnswer: o**(856\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 35781925667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -409, -417, -431, -451, -477, -509?\n\"Answer: -3*l**2 + l - 407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-seven halves of a microgram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*u - 5*a - 84, 3*u - 33079 + 33118 = 2*a for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 8*j**2 - 2*j - 2. Let z be m(-1). Let b be 202\/z + 1\/(-4). Find the second derivative of 1 + 0 + b*c**2 + 17*c - 1 wrt c.\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**4)**(1\/12) assuming n is positive.\nAnswer: n**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3.12 and -0.99.\nAnswer: 2.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 k when four letters picked without replacement from rrrkkrkkkkrrr.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*b**3 + 250*b + 1 - 250*b)*(b + 0*b + 0*b) in the form a*b + v*b**4 + c + j*b**3 + y*b**2 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -7*a**3 - 106*a**2 + 18*a + 12. Let w(m) = -m**3 + m**2 + 3*m + 2. Calculate -c(l) + 6*w(l).\nAnswer: l**3 + 112*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/322 and 75\/14?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifty-one fifths of a minute?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1549*s - 40774 = -476*s for s.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 4*(-2 + sqrt(11)).\nAnswer: -4 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4310)\/(-50) + (-8)\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -10*m - 54. Let f be u(-17). Suppose -3*z = -346 - f. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-2))\/(1 + 0)*-5. Let v(h) = h - 128*h**2 - 3 + 127*h**2 + g*h. Determine v(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 6032, 3, -5 in decreasing order.\nAnswer: 6032, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1033013 (base 4) in base 10?\nAnswer: 5063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/10 - (-38)\/70. Let f = 365.1 + -365. Which is the closest to f? (a) r (b) -5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3073, 6122, 9123, 12082, 15005, 17898?\nAnswer: 20767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 604*j + 1452 + 4588 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m - 1. Let y be j(2). Let l = 2 - y. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -5*h - 22, g + h = -3*g + 34. Suppose 2*l - d - g = 0, 0 + 1 = l - 2*d. Calculate the highest common divisor of 20 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22692673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, d: 5}. What is prob of sequence gdgd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 35468833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 3 + 1)*(-2 + 0 - 6) + 3 + 0 - 1)*(-3*j**2 + 0*j**2 + 5*j**2).\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.6 - -0.3. Let q = -0.12 - 0.28. Which is the biggest value? (a) 0.4 (b) q (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -71 + 73 + d - 12*d - 3*d as l + f*d and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -116796 times -0.2\nAnswer: 23359.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {s: 6, k: 4}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -189 + 180 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 41532 - 9?\nAnswer: 41524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4*c - 1438784, 0*c + 5*k + 719356 = 2*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (28 - 82 - 57)*(6*c - 3*c + c + (-2 + 0 + 3)*(5*c - c + 2 - c)) in the form n*c + p and give p.\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 + -4. Let p = 28 - 24. Suppose -p*l + a = -1. Solve -l*d - 4*f = 5, 8 = -4*d - f - 3*f for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1188 - 300. Let a = h + -501. Let t = a - 387.00932. Round t to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 523458858 by -6.\nAnswer: -87243143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 11005 + 10953. What is the greatest common factor of 59 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) - (-1 + (sqrt(75) + -1)**2) - sqrt(75) - ((-1 + sqrt(75))*-4 - sqrt(75))**2)*5 + 5.\nAnswer: -9825 + 1050*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42405*a**6 - 17*a**2 - 149?\nAnswer: 5088600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2. Let q(t) = -2*t + 51. Determine -102*f(k) - 6*q(k).\nAnswer: 12*k - 102","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*o = 17, -2*z + 0*z = -4*o + 2. Suppose 4*b - 5*f = z*b - 3, 4*b + 5*f = 27. Solve b*h = 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = s - 0. Suppose -2*q = s*q + 8. What is the tens digit of (q\/(-4))\/(2\/148)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 0*n**2 + 1\/42*n**6 + 0*n**3 + 0*n - 4 + 1\/28*n**4 - 2\/35*n**5. Find b such that y(b) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9067?\nAnswer: 9067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 5*l - 7. Let a(q) = -2*q + 3. Suppose 163 = -39*y - 32. Calculate y*a(b) - 2*v(b).\nAnswer: -2*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 52.48? (a) -3\/5 (b) -3 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 12 = -h. Let x be (-2)\/6*h\/20. Are x and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {k: 1, s: 1, d: 8, h: 2, u: 1, w: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {y: 9, w: 1, k: 2, i: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b - b - b**2 + 3*b - 2*b to the form w*b**2 + z*b + c and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 154, 159, 164, 169?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 3*g**5 - 51 + 0*g - 52\/3*g**3 + 0*g**2 + 3\/4*g**4. What is the third derivative of l(w) wrt w?\nAnswer: 360*w + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2760081182.\nAnswer: 2, 131, 10534661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1000\/171 - 109\/19. Sort o, -4, 7\/3 in ascending order.\nAnswer: -4, o, 7\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -4*w + 7. Let t(x) = -11 - 6 + 3*x + 11. Calculate 4*r(k) + 5*t(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -3*g + 356 - 87, -5*g = t - 471. Suppose 5*u - 27 = -i - 0*u, 3*i - g = -u. Is 16 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + r = 493. Suppose 3*a = -4*z - r, -3*a + z - 488 = 6*z. What are the prime factors of 2\/3*a\/(-6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8100*d*h**4 - d*h**3 + 2*d*h**2 + 2*d*h + 2*h**4 + 12742 wrt h?\nAnswer: -194400*d*h - 6*d + 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 974, 3895, 8808, 15749, 24754, 35859, 49100?\n\"Answer: 6*a**3 + 960*a**2 - a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**3 + 12*a**2 - 7*a - 44. Let t be z(4). Which is bigger: t or -130?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eighteen sevenths of a week?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/5*35\/(-140)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (12 - 2 - 6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*s + 5*s**3 + 40*s.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 87\/(-132) - (-54)\/72. Suppose 2 = -3*q - 5*f, 4*f + 3 = 2*q - 3*q. Suppose -y + q = -2*y. Put y, 0, b in decreasing order.\nAnswer: b, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 10*j**3 - j - 1. Let u(y) = -4*y - 6. Let p be u(-4). Let v = 9 - p. Calculate f(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -935*f - 1264*f + 36*f.\nAnswer: -2163*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 - -62. Let l = a - 20. Suppose l*x - x = 14. Solve x*q + 1 = -3 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g**3 - 261690*g**2 - 5*g + 261690 = 0 for g.\nAnswer: -1, 1, 52338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 331 - 0 - 0\/(1 - 0). Suppose 467 = 3*w - y. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -41, 65, 249, 517, 875, 1329, 1885?\n\"Answer: b**3 + 33*b**2 - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -0.33. Let y = j - 0.17. Let n = 219.4 + -219. Sort n, y, -3, 5\/2 in increasing order.\nAnswer: -3, n, y, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 8*l - l. Let v(s) = 5*s**3 + 5*s**2 + 11*s + 18. Let a(c) = 3*c**3 + 3*c**2 + 7*c + 12. Let p(r) = -8*a(r) + 5*v(r). Calculate p(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 2 = -28. Put l, 4, -0.1, 4\/3 in decreasing order.\nAnswer: 4, 4\/3, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -x**6\/10 + x**5\/60 - x**3\/6 - 8*x**2. Let q(a) be the first derivative of s(a). Find the second derivative of q(w) wrt w.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29545.4742 - 29548. Round i to one dp.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20362.\nAnswer: 2, 10181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from kkppjpkjjjfjpkkpp.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 293015674 to the power of 1\/4, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-224))\/(7\/70)*2\/25.\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b - 2*u = 17*b + 30, -5*u = 0. Let d(j) = j**2 - 3*j - 11. Give d(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 + 0)\/(-8)*0. Let t = -1.9 + 2. Which is the smallest value? (a) t (b) 1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(88)*-1*-5)\/(sqrt(88)\/(sqrt(33)\/sqrt(3))).\nAnswer: -20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-13 + 25 + -5) - (0 + 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16059*n - 504 = 16038*n for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w**2 - 5*w**2 - 2*w**3)*(0*w + w - 3*w) + 104*w**3 - 52*w**3 + 50*w**4 - 54*w**3.\nAnswer: 54*w**4 - 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -19, -1\/9, 737, -2 in decreasing order.\nAnswer: 737, 30, -1\/9, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = y - 6 - 0, 0 = -3*y - 6 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -284, 568, -8, -3, 14 in ascending order.\nAnswer: -284, -8, -3, 14, 568","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 divided by 681?\nAnswer: 128\/681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p + p + 0*p)*(2 + p - 2)*(1 + 5 - 5 + (4 - 1 - 1)*(4 + 4 - 2) - 3 + 2 - 1) to the form b*p + r + v*p**2 and give v.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 24 = t. Let h = t + 0. Let v(r) = 2*r - 9. Let o be v(h). Solve o + 3 = -3*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4)\/(w*(w*w**5)\/w))\/(w\/(w\/(w**0*w))*w)**42*(w**(1\/2)*w**3*w)**(11\/2) assuming w is positive.\nAnswer: w**(-277\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 411 divided by -4?\nAnswer: -411\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*s**2\/2 + 540*s + 150 = 0.\nAnswer: -10\/37, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, j: 7, m: 1}. What is prob of sequence mj?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -241 in 2, -3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 263039*o**3*x - 2*o**3 + 6*o*x + 8*x - 6184 wrt o.\nAnswer: 1578234*o*x - 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3973 and 0.085.\nAnswer: 337.705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.252 rounded to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (4224\/(-3520))\/((-4)\/5)*336\/(-18)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/28, 2, 197966 in ascending order.\nAnswer: 1\/28, 2, 197966","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 462 = 3*z - 3*u, -7*z + 10*z - u - 456 = 0. Calculate the remainder when z is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 97 = -3*r - 4*f, -r + 58*f + 33 = 61*f for r.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 z, and 1 d when four letters picked without replacement from ynzzdyznzzyznnyznn.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zx when two letters picked without replacement from {x: 3, s: 4, z: 1, q: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/464 and -89\/64.\nAnswer: 1856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.530704 decades to months.\nAnswer: 1023.68448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10337321 (base 8) to base 4.\nAnswer: 20123323101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 226*f + 3. Is q(17) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 divided by -6?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1779 is divided by 1683?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.1, 5, -1, 12 in increasing order.\nAnswer: -1, 0.1, 1, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-10 + 3 + 12 - -6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 24 - 160. Let a(h) be the second derivative of -h**3\/2 + 51*h**2\/2 - h - 113. Let f be a(11). Solve 3*y + 1 = -2*c - f, -3*y - j = 5*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 10:04 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a second in milliseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 6*r - 9. Suppose 0 = -4*v - 5*v - 45. Let s be k(v). Suppose 10 = -4*w - 2. Which is the closest to -0.3? (a) w (b) s (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*x + 2*x + x**2)*(-4 + 1 - 5) - x**2 + 0*x**2 + 0*x**2)*(-16*x**3 + 56*x**2 - 56*x**2 + (0*x**2 - x**2 + 2*x**2)*(-x + 0*x + 2*x)).\nAnswer: 135*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4438 is divided by 206.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + w**2 + 2*w - 1. Suppose 914 = 5*n + 204. Suppose -a - 5*y = -24, -3*y + 0*y = -4*a + n. Suppose a*v - 30*v = -8. What is g(v)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0.3 (b) -1120 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((129582\/276)\/(-313))\/(-45)\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3+16.56\nAnswer: 19.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 3*k - 958, 0 = -0*p + 2*p + 5*k + 974. Let x be ((-576)\/504)\/(20\/(-5)). Is p at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 2:42 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 325919.\nAnswer: 11, 29629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.001694222 + 27.25.\nAnswer: 27.251694222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*s = -1537 + 293 - 46 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 o when two letters picked without replacement from {y: 17, o: 2}.\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29319709 is divided by 230?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71614661 - 3*h - 143229341 + 71614680.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -10*s**3 + s**2 - 16*s + 7. Let c be r(-5). What is the tens digit of (c\/(-4))\/(1\/(-2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 13*d + 44. What is w(16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -55, 13, 191, 533, 1093, 1925, 3083, 4621?\n\"Answer: 9*a**3 + a**2 + 2*a - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14 + (-5)\/((-20)\/(-8)). Let m = 16 - w. Solve -10 = 2*l - m for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/6)*q)**(-9))**(16\/3)*q**(-2\/5)*((q\/q**0)\/q)\/q*q*q*q**8*q*q\/(q\/q**8)*q assuming q is positive.\nAnswer: q**(-107\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248236770?\nAnswer: 2, 3, 5, 8274559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2055 from -5.\nAnswer: 2050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -i**7\/630 - i**6\/60 - 13*i**4\/24 + 5*i**2. Let m(p) be the second derivative of t(p). Determine a, given that m(a) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2895?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-1 - (2 - 6) - 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -31*b + 11. Is v(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8609150.\nAnswer: 2, 5, 11, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1530882 and 288.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -272 + 271.858. Let c = 0.14200212 + r. Round c to seven dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 133227067 to the nearest integer?\nAnswer: 11542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -4*n. Let y(j) = -4*j**2 + 22*j - 210. Let c(s) = -s**2 + 4*s - 43. Let b(i) = -11*c(i) + 2*y(i). Calculate l(b(k)).\nAnswer: -12*k**2 - 212","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 192184937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 1:42 PM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1917 in -25, -2\/13, -3?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3211213?\nAnswer: 3211213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/4)*v*v)**(-48)\/(v**(-1))**(-8\/3))**(2\/21) assuming v is positive.\nAnswer: v**(-664\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 103995337?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*g + 179 = -13 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 6\/1 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/5729662 or 0?\nAnswer: 3\/5729662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 220 - 194 = 2*u, 16*z = -3*u + 1 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 5*j = -45, 10*w - 10 = 5*w - 3*j for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 30 = 3*l, -3*u - 15 = -2*l - l. Let j = 9 - l. Let p(r) = 19*r**3 + 2*r**2 - 1. Calculate the lowest common multiple of p(j) and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000028 to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of 0 + 63*x**2 - 11\/15*x**5 + 0*x**3 - 7\/15*x**6 + 0*x**4 + 0*x. Find the third derivative of o(d) wrt d.\nAnswer: -336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by (-41)\/(-4) - (-4)\/(-13 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -6 - 6. Suppose 4*k - 3*c - 27 = 0, 2*c = -3*k - 4 + w. Calculate the common denominator of (-1)\/((-48)\/340) - k and -47\/27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1552 + 100441?\nAnswer: 102323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2977731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2700880 - -25?\nAnswer: 2701015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-2)*(245\/210)\/((-14)\/40).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 76 = -4*c + 80, 15 = 5*u - 5*c for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**5\/4 - 9*t**4\/4 + 3*t**3\/4 + 9*t**2\/4 - 3*t\/2 = 0 for t.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 11 - 5 + (6 - 8 - 3)*(0 + 0 + 3))*(2*n - 2 + 2).\nAnswer: -36*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + sqrt(119)\/sqrt(7)*-2).\nAnswer: -4*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3753666039 to the power of 1\/2, to the nearest integer?\nAnswer: 61267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*q = 31*q + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2490*u**3 - 25*u - 35*u + 60*u - 30178*u**3.\nAnswer: -27688*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l. Let m(p) = -1. Let c(k) = k - 7. Let w(q) = 2*c(q) - 14*m(q). Let s(z) = -4*r(z) - 3*w(z). Let u(t) = 9*t**2. Calculate s(u(n)).\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -1655*d**3 - 4*d**2 + 4*d - 1. Let r be k(1). Let a = -1063 - r. List the prime factors of a.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/(-56)*-4)\/((-10)\/(-35)).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}