diff --git "a/data/dm_maths/full_data/1347_11255.jsonl" "b/data/dm_maths/full_data/1347_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1347_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What are the prime factors of 27717?\nAnswer: 3, 9239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 15535102*g**2. Let o(f) = 3*f. Calculate a(o(v)).\nAnswer: 139815918*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 2*v + 2. Let q be h(-2). Suppose 174467 + 305533 = q*n. Round n to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -7*z**2 + 546*z - 3245. Let k be b(6). Is k greater than or equal to -1543\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1441805 is divided by 1440653?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -11*x**2 + 54*x + 549. Calculate s(11).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 6. What is the third derivative of 10*r**3 + 5*r**3 - 4*r**k + 4*r**2 wrt r?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(720) + -3.\nAnswer: -3 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 - -1112000?\nAnswer: 1112021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -24, 0, -21, -464 in descending order.\nAnswer: 0, -2, -21, -24, -464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 417063821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 0 - (107 - 120)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 96*d = -98*d - 17, 0 = -4*i - 5*d - 17 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -47*l + 1. Does 12 divide v(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 795\/49 bigger than 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 - -5)\/((-1)\/(-1)). Solve 0 = g + 3*n - 4 + 3, -5*g - n + 19 = m for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.103 + -0.174. Let o = 57643.929073 + -57644. Let v = k - o. What is v rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jkcnh. Give prob of sequence hkj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -577\/8 - -72. Suppose 1 = -v - 0*v, -4 = -2*w - 2*v. Let q(o) = -o + 2. Let t be q(w). Which is bigger: t or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 21 = 33. Let v be (-374)\/b - 4\/(-18). Suppose 3 = -u, -6 - 18 = -4*k + 4*u. What is the highest common factor of k and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**3 + 3*o**3 + 14 - 6 to the form g + b*o**2 + i*o + h*o**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 5*i + 5, -g + 3 = 5*i - 4. Suppose -i*d = d - 6. Suppose -d*s = -68 + 28. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4*h + 60, 0*h + 2*w = -4*h + 40. Let c be (-1)\/(-4) + (-90)\/8. Let n be c\/(154\/h) - -1. What is the second smallest value in n, 2\/5, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 + 51. Let c(w) = 4 + 4*w**3 - 3 - 24*w + q*w. Is c(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of 407*a**9\/504 + a**8\/112 + 2*a**5\/15 - a**4\/24 - 17*a**3\/2 + 35*a**2 - 2*a. What is the third derivative of s(j) wrt j?\nAnswer: 48840*j**3 + 180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -156650 (base 7) in base 14?\nAnswer: -b527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 616 or 3691\/6?\nAnswer: 616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 40 + -1d37d?\nAnswer: -1d33d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -105*o + 344*o - 137*o + 849*o**2 - 102*o to the form s + v*o + w*o**2 and give w.\nAnswer: 849","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 3*j**5\/5 + 2*j**2 - 12. What is the second derivative of y(p) wrt p?\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - w**2 - w. Suppose 398*t + 46086 = -23962. Let i(p) = 40*p**3 - 44*p**2 - 44*p. Calculate t*g(z) + 4*i(z).\nAnswer: -16*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 4*w + 52, -2*j = 3*w + 18 - 19. Suppose 4*d = d. Sort 9, 5, d, w in increasing order.\nAnswer: w, d, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*j + 3)*(3 - 3 + 2*j) + 3*j**2 - 3*j**2 - 2*j**2 + (-2*j - j + 2*j)*(2*j + 2 - 2) + j - 44*j**2 - j.\nAnswer: -44*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l + 5. Let u be n(4). Suppose -4*b + 3 = -u. Suppose 4 + 2 = b*y. Solve -v = 2*r - 3*v + y, -5*v = -r - 21 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -v**2\/2 - v + 7. Let x(t) = -4*t + 1 - 4 - 1. Give -6*b(h) + x(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 3:17 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 16 - (230 + -82 - 166)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*6*(sqrt(704) + -1 + sqrt(704))*-4*-4 + 2)**2 + 1.\nAnswer: -7403520*sqrt(11) + 649038725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*c + 31, 5*c - 4*q = 19 + 6. Calculate the lowest common multiple of c and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 23 - -6?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5129? (a) 4\/5 (b) -1\/5 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11902, -12998, -14094, -15190, -16286?\nAnswer: -17382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -5*(-1 + sqrt(192)))**2 + 0 - -1*((sqrt(3) - (2 + sqrt(432)) - sqrt(3)) + sqrt(3) + 3*sqrt(12)\/sqrt(4))**2.\nAnswer: -128*sqrt(3) + 5000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b**2 - 19*b - 41. Calculate w(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -230 - 7.\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from -132588155.\nAnswer: -132588154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00430710336 rounded to four dps?\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 10 = 3*x, -2*s + 0*x + 32 = 2*x. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 56*t - 75*t + 29 - 124. Sort 24, -2, t, -4 in ascending order.\nAnswer: t, -4, -2, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 7 - 1. Let x = -2 - -5. Sort x, -1, y in descending order.\nAnswer: y, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -2. What is the common denominator of ((-237)\/(-9))\/(8\/3) and (-2)\/10*(m - -63)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -84*y - 13188. Calculate l(-157).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21371 at least 21366?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -78347\/39 + 2009. Let q(s) be the second derivative of -5*s + 4\/13*s**2 + 1\/78*s**4 - u*s**3 + 0. Factor q(z).\nAnswer: 2*(z - 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33990*y = 33995*y + 3*b - 13, 0 = b - 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.177 + -0.577. Let x(w) = 3*w**3 - 2*w**2 + 1. Let p be x(-1). What is the second biggest value in p, l, -0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -190594.29 rounded to the nearest one thousand?\nAnswer: -191000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(968)*-1*-1.\nAnswer: 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39 - (-43 - (-18 + -10))) + -34.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(0 + (-1)\/1). Suppose 4*k + 117 - 29 = s. List the prime factors of (-4)\/8*3*k.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p - 216 = -171. Let w(t) be the second derivative of 0*t**4 + 1\/10*t**5 + 0 + 11\/2*t**2 + p*t + 0*t**3. Differentiate w(o) wrt o.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((7470\/(-5))\/83)\/78.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*b + 3. Let z(s) = -6*s + 1. Let x be z(b). Let u be x\/11 + -8 + 10. Which is greater: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 615152 = 29*u + 68*u - 72869. What are the prime factors of u?\nAnswer: 41, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.19 + -4.24. What is the nearest to -2\/9 in p, 4, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 36668 or 36666?\nAnswer: 36668","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9.335756 tonnes?\nAnswer: 9335.756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -24014 (b) 0.5 (c) 117 (d) -0.1 (e) 4 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -6*c - 3. Let h be d(3). Let y be h\/(-49) + 50\/14. Factor y*x**3 + 3*x - 3*x - x - 3*x.\nAnswer: 4*x*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 130491, 130453, 130415, 130377, 130339, 130301?\n\"Answer: -38*u + 130529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4907 take away 0.24190690292?\nAnswer: 0.24879309708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 3*b - 20 = -0, 24 = -4*v - 8*b for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4*f + 58, 5*z - 44 = 4*z - 3*f. What is the remainder when 67 is divided by z?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1153 - -1152.7. Which is the second smallest value? (a) r (b) -115 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -374*p - 155942. Determine w(-417).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33.4 - 33. Let b = 55 - 55.23. Let a = -0.03 - b. What is the nearest to a in 0.3, 1\/2, c?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.283 - -9.083. Let g = -3.8 + s. Let n = -3.1 + 3. What is the third smallest value in 2\/3, 1, g, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -23277, -23303, -23295, -23247, -23153, -23007?\n\"Answer: u**3 + 11*u**2 - 66*u - 23223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 95953910 to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -i**3\/2 + 2*i**2 + i. Let t = -57 - -62. Suppose -d - t*n = -3*d + 12, 0 = 3*d - 3*n. Give v(d).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by (9 - -5)\/(0 - -1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((6*sqrt(40)*-1 + sqrt(40))\/(-1*sqrt(200)))**2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 395.\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1854 divide 1811586042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-3)*(-1)\/3. Suppose -4*u = 5*a + 1 + 3, 4 = -4*u. What is the second smallest value in a, 0.2, n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.517 + 0.497. Sort -1\/3, 1\/2, 4, c in increasing order.\nAnswer: -1\/3, c, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kc when two letters picked without replacement from kccckcccckkkcckccc.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h + 3. Let c be o(-4). Suppose 4*u + 3*q + 4028 = -637, 4*u + 4690 = 2*q. Is 4\/(-1) - c - u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-528)\/55)\/(-24)*-55?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2242\/7*p**2 + 8\/7*p**5 - 298\/7*p**4 + 2658\/7*p**3 - 722\/7*p + 0 = 0 for p.\nAnswer: -1, 0, 1\/4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 840053321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/(-96) - (-58)\/12. Suppose 0 = 7*c - t*c - 4. Suppose c*g = g. What is the biggest value in 3, 1, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 34*s + 3284. Is o(-47) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3923 + -3561. Calculate the remainder when q is divided by 131.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -617*p + 596*p + 630 for p.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -6\/6307?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2*a - 6 = -2*a, -4*d = a - 7. Suppose -3*j - 3*q + q = 13, -4*j + d*q - 8 = 0. Let y(m) = m**2 - 3*m**2 + 3 + 3 - 8 - 4*m. Calculate y(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10668 - -10982. Which is smaller: n or 328?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 - 588. Let f be (0 - i - 0)*10\/20. What is f rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**22*g**(-3\/5)\/g*g*g**(-2\/43)\/(g**(4\/3)\/g) assuming g is positive.\nAnswer: g**(13558\/645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 5. Let g = 0.5 + d. Let n = g + 0.50000125. What is n rounded to 7 dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -232 (base 7) in base 15?\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + q + 6. Let z be n(0). Suppose -4*l + 3*l + z = 0. Suppose c**3 - 8*c**5 + 2*c**4 + 15*c**5 - l*c**5 = 0. What is c?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 747?\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 12 = -3*l, -13 + 2 = -3*w + 2*l. What is the lowest common multiple of 201 and w?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27 + 7*n**2 + 9 + 11 - 85*n + 7 to the form i*n + s + y*n**2 and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*2*sqrt(1100) + (5*(sqrt(77) + 1*sqrt(77)) + sqrt(77))\/sqrt(7).\nAnswer: 31*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -126 - -126. Suppose 3*x - 497 - 31 = v. Calculate the greatest common divisor of x and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**4 + 6846*m**3 - 4816614*m**2 + 1043189642*m - 73947564900 = 0 for m.\nAnswer: -4050, 209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/5)\/v**(-1)*(v*(v**1\/v)\/v)**(17\/4) assuming v is positive.\nAnswer: v**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 4865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4302*299\nAnswer: 1286298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/(-35) - 34\/10. Let l be (-1)\/k*6*1. Suppose -y = b + l*y - 27, 3*b - 3*y = 93. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13350 >= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 580*a - 559*a - 260211 = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -y**5\/30 + 11*y**4\/24 + 3*y**3\/2 - 18*y**2. Let t(h) = h**2 - 5*h - 4. Let x(n) = -4*r(n) - 7*t(n). What is x(9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2403 rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 1 = 1. Let y(p) = 159*p. Let t be y(-2). Find the common denominator of k and 2\/6 - t\/54.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 991, 0.3, 1\/5, 5, 60?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.45 - 0.14288381.\nAnswer: -0.59288381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -21. Suppose -130 - 170 = -u*l. Suppose 3*g - 30 = 3*s - 5*s, l = 4*g - 4*s. Solve 6*b - 2*b - g = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3390, 3373, 3354, 3339, 3334, 3345?\n\"Answer: o**3 - 7*o**2 - 3*o + 3399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 85 = 24*y. Which is the fourth smallest value? (a) 2\/3 (b) y (c) 2 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 101957?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45110, 90202, 135288, 180368, 225442, 270510, 315572?\nAnswer: 360628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*q**2 + q - q)*(-58*q + 30 - 30) + 7*q**2 - 7*q**2 + 4*q**3 in the form v*q**2 + t*q + r + b*q**3 and give b.\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.9 * -72.473.\nAnswer: -355.1177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(16)\/(-1*sqrt(8)) + 3).\nAnswer: -5*sqrt(2) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*w + 3*w - 14063, -5636 = -2*w + 5*l. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1824\/(-19)*(-2)\/(-16).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*s - 83 = 5*a + 93, -7*a - 26 + 2 = -3*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2. Let m(h) be the third derivative of 14*h**4\/3 + 106*h**2. Determine q(m(n)).\nAnswer: 25088*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13937 and 3258.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 94 and 329?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -63 + 117. Let k be -2*(3 - l\/12). Let y(p) = -p**2 + 4*p + 3. What is y(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72054 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: Suppose 24 = -11*o + 8*o + 3*t, 3*t - 12 = 0. Sort o, 3, 0 in increasing order.\nAnswer: o, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57193654541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 737 = -5*v - 513. Let u = v + 499. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35520 (base 16) to base 9\nAnswer: -362526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 5*w - 5. Let f be q(-6). Let n be 0\/(-2 - 0\/f). Suppose n = -3*z - 2*z + 110. What is the least common multiple of z and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -761*q**8\/56 - 69*q**4\/4 - 11*q - 6. Find the third derivative of t(l) wrt l.\nAnswer: -91320*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11418487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34586 + -16724. What is y rounded to the nearest 100?\nAnswer: 17900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7488 + 7580. Let a(k) = k**3 + k**2 - 90. Let z be a(0). Let j = z + g. Which is smaller: j or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.3792402 + 6.44867. Let y = -437.7515702 - i. Let b = -438 - y. Round b to two dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2848.6 rounded to the nearest 100?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 10:16 PM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 30, 107, 196, 303, 434, 595?\n\"Answer: c**3 + 70*c - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -53*h**5\/5 + 5*h**2\/2 + h - 22. What is the second derivative of v(j) wrt j?\nAnswer: -636*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5828?\nAnswer: 2, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.757562 and -0.084.\nAnswer: -0.567635208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -150 - (-12 - 87246\/555)?\nAnswer: 96\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13331950?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from ekmkm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + sqrt(68) + (sqrt(68) - -3*(1*sqrt(68) - sqrt(68)) - sqrt(68)) + sqrt(68))\/(sqrt(4) - 3*sqrt(4)*2) + (2*(-1 + sqrt(1700) + -5))**2.\nAnswer: -2403*sqrt(17)\/5 + 6944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-3)*(0 + 0 - -1). Solve i = 3*a + 10 - 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4088 and 3252293436.4.\nAnswer: 3252289348.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -81\/353 > 2\/793?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 162512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -0.14 (c) -0.4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 2:37 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 114 = -18*u. Suppose -5*p = -u - 0, -3*b + 2*p + 1312 = 0. What are the prime factors of b?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -7*h - 4. Suppose -123 = -3*k - 4*u, 2*u + 96 = 2*k - 0*k. Calculate the remainder when k is divided by x(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 423*s. Let n(k) be the first derivative of k**2\/2 + 4039. Determine n(r(z)).\nAnswer: 423*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 1 = -3*j, -3*u - 5*j = -u - 17 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 5*f**2 + 4*f + 2. Let p(v) = 2*v**2 + 2*v + 1. Let k(n) = -i(n) + 2*p(n). Let q(c) = 122*c. Give q(k(z)).\nAnswer: -122*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 4) to base 13\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 + 39. Calculate the common denominator of -113\/50 and (-179)\/30 - (-8)\/n.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 430*s**2 + 25*s + 55. List the prime factors of q(-3).\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4\/3 - 53*t**3\/3 - 337*t**2\/3 - 233*t - 138.\nAnswer: -(t + 1)*(t + 3)**2*(t + 46)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + h - 8 = -1, 2*j - h = 5. Let i = 311 + -929\/3. Is i smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3342 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oc when two letters picked without replacement from {c: 1, o: 1, h: 2, e: 1, j: 1, b: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(270\/(-1767))*14. Let m = z + 455. Calculate the common denominator of m and 7\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 4*i + i + (-i + 3*i - 4*i)*(2 + 1 - 5) + 0*i + 0*i + 2*i)*(-2 + 6 - 3).\nAnswer: 11*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.73 rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2*q - 1)*(5*q + 0*q - 3*q) + 4*q**2 - q**2 - q**2)*(-7*q**2 - q**2 - 5*q**2)*(-q - 1 + 1).\nAnswer: 78*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**14*h**(-2\/5))\/(((((h**(8\/5)\/h)\/h)\/h*h)\/h)\/h)**34 assuming h is positive.\nAnswer: h**(476\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.826501l?\nAnswer: 826.501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = b + 2*d, 4*b + b + 4*d + 1 = 0. Calculate the remainder when 29 is divided by ((-3)\/b)\/(1\/(-8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5678 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -330 + 1130322122?\nAnswer: 1130321132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-2*sqrt(1088)*2*6 - ((1*sqrt(2057)*-4)**2 - (-6*(0 + sqrt(425))**2 - sqrt(425))).\nAnswer: -35462 - 197*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(-72)\/(-8)*(0 + 1). Suppose -2*t - 4*w + s = t, 0 = -5*t - 2*w + 16. Let r(m) = -90*m**2 - 94*m**t + 180*m**2. Let j(q) = -q. Give r(j(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19720 divided by -34.\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 170613092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of 1\/90*a**6 - 1\/18*a**4 - 4\/135*a**5 + 7\/27*a**3 + 0*a + 56*a**2 + 1\/945*a**7 + 0. Factor o(s).\nAnswer: 2*(s - 1)**2*(s + 1)*(s + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -74. Suppose -2*o - 79 = 173. Let i = s - o. List the prime factors of i.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -162\/7 - 30\/7*a**2 + 18*a + 2\/7*a**3.\nAnswer: 2*(a - 9)*(a - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 162\/(-81) + (-21)\/(-14). What is the second biggest value in 118, -7, y, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 - -100 - (-2 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 171, 506, 987, 1614, 2387?\nAnswer: 3306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2712, 1220 in descending order.\nAnswer: 1220, 3, -2712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1812 = -4*g + 104. Let y = g - -1285\/3. Factor 0*c + y - 4\/3*c**2.\nAnswer: -4*(c - 1)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a - 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 1:01 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 146 - 310 = 0. Suppose 5*l + 151 = 4*f + 381, -f - 47 = -l. Let g = j + l. What are the prime factors of g?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -68*d**3 - 26*d**2 + 4*d = 0.\nAnswer: -1\/2, 0, 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.26045 + -2882.6.\nAnswer: -2879.33955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -0*c. Suppose c*m - 18 = 2*m. Which is greater: m or -10?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 2165.47.\nAnswer: -433.094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 357018425 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: Solve 1290*g = 1284*g - 54 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 853868477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 774, 1544, 2314, 3084?\n\"Answer: 770*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 484039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 84.64634 minutes?\nAnswer: 5078.7804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6914 + -2215. Is 2 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2966922 divided by 7849\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*a - 14 = a, -2*t + 20 = -4*a. Suppose -t*m - 5*h = -h - 34, -3*m + 5*h = -51. Let f = 176 + -112. Calculate the remainder when f is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/4 + (-1)\/(-2). Let r = 0.35 - -24.65. Let s = r + -20. Sort m, s, -4 in increasing order.\nAnswer: -4, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 157 by 157.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzhllzzzhzzzlzhzzhzz. Give prob of picking 1 z, 1 h, and 1 l.\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.96284 rounded to 0 dps?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3 - 2 - 1 - w. Let d be n(-4). Suppose -16 = 2*f - a - a, -2*f - 4*a + 2 = 0. Sort d, f, 0 in decreasing order.\nAnswer: d, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -4204.\nAnswer: -8408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*u + 25 + 30*u + 4 + 52 + 23*u - 78*u.\nAnswer: -5*u + 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 98\/24)*3*-4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 270 + -256. Calculate the remainder when 39 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.948 - -0.948. Which is the second biggest value? (a) -498 (b) -0.4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -53 (b) -0.3 (c) -0.2 (d) -1 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**2. Let b(o) = -139145*o. Calculate b(x(z)).\nAnswer: 278290*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*x - 19*x + 2 = -4*z, -3*x + z - 12 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*y**3 - 106*y**2 - 14092*y - 66810.\nAnswer: 2*(y - 51)*(y + 5)*(4*y + 131)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1228.487 weeks to minutes.\nAnswer: 12383148.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -463 = -c - 3*k - 33*k, 140*c - 8*k = 136*c - 124 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*m**4 + 1961*m**3 + 3*m**2 + m + 6948299 with respect to m.\nAnswer: -52*m**3 + 5883*m**2 + 6*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -11*y**3 + 3*y**2 - y - 6. Determine m(-2).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 9 - 41644899498*b**2 + 41644899498*b**2 + 6*b**3.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 7, u: 2}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 11 = 31. Suppose 70 = 3*b + 64. Suppose -b = -r - x*k + 19, -5*r = k - 86. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/3717 + 5921\/2478. Let p = 103247186 + -141448629401\/1370. Let w = -61\/137 - p. Calculate the common denominator of w and i.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 582401329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*l - 3*g, 12*l - g - 20 = 8*l. Calculate the remainder when (-4)\/10 - 224\/(-10) is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a - 37 + 9 = 0. Suppose 0 = a*h + 46 - 48. Suppose h + 2 = x. What is the highest common factor of 27 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 160.97, -2\/161 in descending order.\nAnswer: 160.97, -2\/161, -5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Is 16307593373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 1)*(-1 - r + 1) + 8*r + 0 + 2 + 4*r.\nAnswer: 14*r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**14)\/g**(-16)*g*g\/(g*g\/g**(8\/9))*g*g**28\/g assuming g is positive.\nAnswer: g**(287\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 127 - 124. Suppose -3*x + 4*g + 12 + 221 = 0, v*x + 2*g = 221. Is (-8)\/60 - (-8335)\/x a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*r**3 + 2*r**3 + 0*r**3.\nAnswer: -15*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 + 0)*(-4 + 2*s + 4)*(6 + 1 - 1) + (2*s - 2*s - s)*(4 - 4 - 2).\nAnswer: 62*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35085 is divided by 17512.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, q: 2, d: 3, s: 4, y: 3, g: 3}. Give prob of picking 1 y, 1 g, and 1 s.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/6 + 27\/6. Is 447\/12 + (-1)\/g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 12:11 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - 32 - (133 + -141)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4353 - 4358. What is the nearest to -4 in -0.5, g, 0, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -1 + 2*s**2 + 1. Let v(d) = 3*d - 8. Let r(o) = o - 3. Suppose -3*h - 14 = 10. Let u(j) = h*r(j) + 3*v(j). What is y(u(x))?\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9015547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - -5. Let g = b - 9. Suppose 0 = g*y + 2*y + 101000. Round y to the nearest 1000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.34 - 0.04. Let j = 10 + -6. Let c = j - k. Sort -4, c, 4 in increasing order.\nAnswer: -4, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 10*k = 6. Suppose 3*l + 41 = 5*w, -k*w = -2*w + 4*l + 1. Suppose 2 = 5*s - 5*u + w, -s = -5*u - 15. Let j(a) = -a - 4. Determine j(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h + 11. Suppose -4*p - 3*w - 7 = 29, 0 = 5*p + 5*w + 40. Let a be s(p). Sort 3, -3, a in ascending order.\nAnswer: -3, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -12*b + 179. Let g be c(14). Solve g - 16 = -5*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -536000 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - i + 27 - 23 = 0, -3 = 3*l + 6*i. Is -2\/1553 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b1 - -3b4509?\nAnswer: 3b4428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and -5112.4?\nAnswer: 5112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of 0 - 1\/4*r**5 + 0*r**4 + 7*r**2 + 0*r**3 + 0*r - 1\/6*r**6. What is the third derivative of w(c) wrt c?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 981730 is divided by 54540?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 14*q**2 + 10*q + 41. Let l be w(13). Solve 8*f - 9*f + t + 3 = 0, -l*f = t + 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -0.534.\nAnswer: -2.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((1 + 1*(sqrt(243) + 0)*6)*2)**2.\nAnswer: 432*sqrt(3) + 35000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(432) - (1 + sqrt(432))*-5)**2*3 + 4 + 0 + -5)*2.\nAnswer: 21600*sqrt(3) + 467308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 174525 to the power of 1\/2, to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from ccyyccycccy.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**2 + 8*n**2 - 13*n**2 - 13*n**2.\nAnswer: -17*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -864 - 145*d - 24*d**2 + 428 + 417.\nAnswer: -24*d**2 - 145*d - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 104782641?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 14414124 (base 5) to base 3\nAnswer: 21211122102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - l + 2*l)*(2 - 4 + 3) + (1 - 1 - 5)*(0 + 0 + 2*l).\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 7) + 118\/8. Suppose -7*d = -2*d - 45. Which is smaller: i or d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or -9.08?\nAnswer: -9.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 26116834 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 400 + -723. Let u = s - -297. What is the third biggest value in 2, u, -0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/10)\/(18\/(-60)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -17068240 divided by -4267060\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12686 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -7*b + 4. Let i = -26 - -40. Let t(j) = 2 - i + 2*j + 9 + 4*j. Let m(h) = -5*q(h) - 6*t(h). Give m(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 - (-153 - -78) - 32.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19510037 is divided by 1603?\nAnswer: 1527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 6*l = -14. Which is greater: l or -8?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1273, 4, 56.\nAnswer: 4, 56, 1273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0421 - -1131763.\nAnswer: 1131762.9579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 2\/27, -5, -8, 2892.62.\nAnswer: -8, -5, 2\/27, 2\/7, 2892.62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)*-1*2)\/(sqrt(30)\/(sqrt(5) - sqrt(125))) - 1*((0 + sqrt(192) + sqrt(192) + 2*sqrt(192) + sqrt(192) - sqrt(192)) + 2)**2.\nAnswer: -3076 - 120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (310*(4 - 5))\/((-4)\/(-40)). Let p = 18715\/6 + v. Calculate the common denominator of p and 97\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59115877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 7*t**2 - 4*t - 27. Calculate m(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -725 (b) 11 (c) -3 (d) 1\/8 (e) -0.4 (f) -5 (g) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 55\/4*p**2 + 0*p - 5\/4*p**4 - 25\/2*p**3.\nAnswer: -5*p**2*(p - 1)*(p + 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.56 + -0.3. Let u = 210.06 - q. Let i = -232 + u. Round i to zero dps.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2033245.\nAnswer: 5, 406649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-49)\/(-3) + 2\/(-6). Suppose 5*v - 40 = 5*h, 2*h + c = 2*v + 3*h. Calculate the highest common divisor of 16 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -1. Let t = -317799\/8 + 39725. What is the nearest to 8 in z, 2, t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three quarters of a meter in millimeters?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - r - 2 = 2, 4*y + 8 = -4*r. Let i = 212\/3 + -71. Which is the closest to -1? (a) 3 (b) y (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 133963363 and 359.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 5963398?\nAnswer: 23853592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -363504, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1224825 or -1224826?\nAnswer: -1224826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12 + (2 - (-5 + 3)). Suppose -4*j + f = -8. Calculate the remainder when j is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a. Let r(v) = -v - 2. Let j(x) = x + 1. Let g(c) = c**3 - 3*c**2 + 1. Let p be g(2). Let i(f) = p*r(f) - 6*j(f). Calculate z(i(t)).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -5458?\nAnswer: 5460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1794345042 to the power of 1\/2, to the nearest integer?\nAnswer: 42360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48\/195395 and -6\/55.\nAnswer: 2149345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -2, 4, -6, 19 in descending order.\nAnswer: 19, 4, -1, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 147.99972 - 148. Round p to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23012.61 rounded to the nearest 10?\nAnswer: -23010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.07*-0.2.\nAnswer: 0.214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2276)\/(-2) + (-144)\/24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-782)\/(-60) - 6\/180.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, -2\/11, 0.1, 3\/4.\nAnswer: -2\/11, 0.1, 3\/8, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -59, -73, -99, -149?\nAnswer: -235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 23. Calculate the remainder when 9 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 31*b + 72 = 0. Suppose -5*v + 50 = -15. What is the lowest common multiple of v and b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 - 5*k)*(0 + 0 - 2)*(-4*k - k + 4*k) + 9*k**2 + 6*k**2 - 8*k**2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) 2\/3 (b) -2.1 (c) -1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 - 1 + (-2 + 2 + 3)*(-8 + 18 + 21))*(-2*o**2 + 2*o**2 + o**2) to i + u*o**2 + g*o and give u.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -30893*k - 77. Is s(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -5, 7, -0.1, 20.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-36)*(-9)\/(-10)*116\/261\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 610*l - 12 = 622*l. Suppose 2*g - 12 = -2. Suppose 4*d - 32 = 4*x, 0 = 5*d - x + g*x - 4. Sort 3, l, d in ascending order.\nAnswer: l, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 17 - 1. Is -5 smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4 = 6. Suppose 0 = l*o + 5*c - 25, c - 16 = -5*o + 35. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94, -153, -190, -193, -150, -49, 122, 375?\nAnswer: 722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-4\/5)*d*d*d**(-3\/8)\/d*(d*(d*d**(-1\/3))\/d)**(-29) assuming d is positive.\nAnswer: d**(-2341\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 117844128 divided by 78984\nAnswer: 1492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*a - 15017 = -1665 + 8152. Solve 0 = -15*d - a + 8 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 23*p - 3. What is x(1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*b - 48*b + 436. Is b a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 366973035 a multiple of 755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 658 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-105)\/(-15))\/14*(-1)\/2*44?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -4*x - 4. Let c(s) = -22*s - 22. Let q(l) = 9*l + 9. Let v(f) = 5*c(f) + 12*q(f). Determine 6*o(w) - 11*v(w).\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 10*m**2 + 10*m + 3. Let u be h(6). Let o = u + 121. Let p(f) = 30 + f**2 - 60 + 9*f + o. Determine p(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/3 + 10 - -9)*1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12635395?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 2*m + 1 = 0, -3*m + 4 - 5 = -4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2 - 87 + 7*q**2 + 107 - 2*q**4 + 10*q**3 - 31*q. Let a(r) = 2*r**4 - 10*r**3 - 10*r**2 + 30*r - 20. Let t(c) = -3*a(c) - 4*w(c). Factor t(m).\nAnswer: 2*(m - 5)*(m - 1)**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h\/(h\/h**(1\/5)))*h**(-3\/11))\/(h**7\/h*h\/((h\/(h*h**5)*h)\/h)))\/(h**(3\/7)\/h**(-2\/7)*((h*h**(-1\/2))\/h)**(-34)) assuming h is positive.\nAnswer: h**(-10852\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 2*f + 3*f + (3*f - 5*f + f)*(-3 + 0 + 1) + 2*f - 4*f + f)*(-2 - 1 + 1)*(2*f - 6*f + f).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3156876241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30607?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36576.33156 + -29353.4308. Let y = -7220 + i. Let n = y + -2.9. Round n to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 0.5, 0, -2, 172, 4\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19403161 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 2*v + 1000 = 2*y, -4*v - 12 = 0. Suppose 0 = -7*p - 112 + y. Calculate the remainder when p is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9724?\nAnswer: 2, 11, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*8)\/(((243\/18)\/(-27))\/(26\/8)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11041 + -6719. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(0 - 0) - 10. Let g = -5 + -1. Let n = g - q. Solve 0*p + 3*p = n*s - 7, -2*s = 2*p + 14 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -362 + 646. Suppose -w = -5*m + 741, 4*m - 2*w - 304 = c. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 3)\/((-16)\/(-184)). Let a = q + 83. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -31 + 4. Let a = v - -12. Suppose -2*i = -a*i + 2. Solve k - i*k + 1 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3751 = k - 2147, 5899 = k + 2*r. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 835*s - 836*s = 15, 0 = -4*b + 2*s + 20. Sort b, 66, -3, -1, -4 in descending order.\nAnswer: 66, b, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*2*4\/(-6). Let y be 3 + (-44)\/v*1. Calculate the greatest common divisor of 7 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6130034 is divided by 115661.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 41\/2 of a millennium?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (201 + 104 + 20)*(-5 + 3 + 3)*(0*g - 3*g - g).\nAnswer: -1300*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2 = 4*d - 6*d, d = 4*z - 11. Let p(g) = -g**2 - 2*g. Let l(k) = 2*k**2 + 4*k - 1. Calculate z*l(j) + 5*p(j).\nAnswer: -j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + 15. Let n = -19 + q. Let r(c) = -c**3 + 10*c**2 - 9*c. Let h be r(n). Solve h = 4*p + 2*k + k - 4, 4*p + 5*k + 4 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 607688*j**2 + 279355 wrt j?\nAnswer: 1215376*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1467298 divided by 7?\nAnswer: -209614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/90*1 + (-2)\/15. Sort g, -1, -2\/7 in decreasing order.\nAnswer: g, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1010 is divided by 1004.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (42 - 21 - 31)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 153439.74 nanoseconds to hours.\nAnswer: 0.00000004262215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3095268 (base 10) in base 11?\nAnswer: 1824580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((245\/14)\/(-5))\/(2\/(-4)). Solve v - 4 = -g for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (8 - (3 + (6 - 18 - 0) + 3)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5166175 and 5565?\nAnswer: 15498525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - (-16 - ((-3 - 3) + 3)). Solve 2*b - z + 2 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.039929357 to four dps.\nAnswer: -0.0399","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/299 + 305\/1794. Let w(m) be the second derivative of 0*m**2 - v*m**4 + 4*m + 1\/20*m**5 + 0 - 1\/6*m**3. Give w(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5340 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvww when four letters picked without replacement from {w: 7, v: 6}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1076273 is divided by 65.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 divided by 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -0*a - 4*w + 1, 2 = -3*a + 5*w. Suppose -11 = -m - a. What is the lowest common multiple of (-1 + -2)*(-40)\/6 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 42 in -5, 0, 535?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 4:30 AM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2086958 (base 10) to base 9\nAnswer: -3830682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1685809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 880?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 4516406?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (18 + 17*j**2 - 18)*(-8*j + 8*j - 6*j**2) as g*j**2 + n*j + f*j**3 + h*j**4 + s and give h.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2637 by -2637.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1034366 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 15) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -43 in descending order.\nAnswer: 5, -3, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 8622?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 8*h + 12. Calculate c(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24)\/(-5) - (3 - (-2 + 1)). What is the nearest to 6\/17 in 2\/3, v, 4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-1 - -4) - 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/(v*(v*v\/v**6*v)\/v))\/v)\/v**9)\/(v**1\/(v*v**(-4\/9))))**(1\/11) assuming v is positive.\nAnswer: v**(-58\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34.1 + 50237983050.\nAnswer: 50237983084.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 11, o: 1, s: 6}. What is prob of picking 3 n and 1 o?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 9 - (-21 - -34) - (-35 + 5)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 31*y**2 + 6211*y - 214712. Determine l(34).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18202233877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 2*a + 22. Let z be f(6). Let k = z - -28. Find the third derivative of 6 - 6 + 3*r**4 - 29*r**5 - 21*r**k - 4*r**4 wrt r.\nAnswer: -1740*r**2 - 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1*(-4 + ((1 + sqrt(1900) - 6*sqrt(57)\/sqrt(3)) + 2*sqrt(2736)*2)**2) + 4.\nAnswer: -51365 - 104*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/((-53)\/(6784\/96)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 157, 152, 135, 100, 41, -48?\n\"Answer: -d**3 + 2*d + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46 - 119103\/(-6264)) + 27.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10797118*a**6 + 301362*a**2 + 8*a.\nAnswer: 1295654160*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -182*l + 2919007 + 1179633. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 83087?\nAnswer: 5\/83087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-seven halves of a milligram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/(-4) + (-1)\/((-10)\/(-50)). What is the nearest to -1\/3 in -2\/9, -0.2, n, -1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 7*z**5\/5 + 79*z**4\/4 + 2*z**3\/3 - 158*z - 843. Find the third derivative of q(m) wrt m.\nAnswer: 168*m + 474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-3 - 0) + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*a - 58*a + 70 = 0 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 2*v - 2. Let p(l) = 52*l + 5. Give -p(d) - 2*y(d).\nAnswer: -2*d**2 - 48*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*l = -25*l - 32*l + 2*a - 10, 4*a - 272 = 16*l for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -829 - -831. Let c = -1 - -3. Let z(g) = -16*g + 16*g - c*g**2 + 5 + 3*g**l. Let j(n) = -n**2 - 6. Calculate 5*j(h) + 6*z(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.06 - 0.17. Let w = y + -0.39. Let z be ((-1)\/4)\/((-5)\/12). Which is the third smallest value? (a) w (b) 2\/19 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 80 - 77. Factor 15*u**x + 17*u**3 - 9*u - 16*u**2 + 11*u.\nAnswer: 2*u*(4*u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 13228862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vdv when three letters picked without replacement from vdvdvvddvvvvvvvvvv?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 + -24. Let l be (1 + -1)\/(1*2). Let o be 4 + -2 - -61 - l. What is the highest common factor of o and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/2 and 145\/84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -12\/17, 2\/829, 6\/5 in ascending order.\nAnswer: -12\/17, 2\/829, 6\/5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 5. Suppose -2 = -3*g - r, -3*g + r - 2 = -0*r. Let y be g\/(m + 0 + -4). Solve 3*c - 3 - 9 = y for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**3 - 8*h**2 + 3255*h + 6517. Calculate a(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 3*k**2 - 2*k + 3. Let r be a(-4). Sort -3, r, 3 in descending order.\nAnswer: 3, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1932 - 909 - 1978*w - 1021 - 942*w)*(-4*w**2 + 5*w**2 + 0*w**2) to v*w + s + n*w**3 + c*w**2 and give n.\nAnswer: -2920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 22\/4 + 1\/(-2). Suppose 0 = 2*s + 3*s, 0 = 3*n + s + 3. Put b, 4, n in descending order.\nAnswer: b, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2. Suppose 0 = 5*w - 4*v - 43, 0 = 4*v + 4 + 4. Let f(m) = -w*m**2 + 16*m**2 - 12*m**2. Give d(f(k)).\nAnswer: 18*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 4*h + 11, 3*n + 4*h - 10 = 19. Suppose -n*q + q - 8 = 0. Put 0, 5, q in ascending order.\nAnswer: q, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + -5 + 48 + -6. Suppose -4*x - 6*t = -2*t + 76, -2*x + 3*t = 58. Let s = b + x. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (19 - 18) + -22 + 26. What is the biggest value in n, 2\/9, 1, 18, 0.9?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) -2 (c) -0.24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2025?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66615150 (base 7) to base 3.\nAnswer: -101211020112020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 3 + -3 - (-5 + 2 + 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a**2 - 6*a**2 - 3*a**2)*(a**2 + 2*a**2 - a**2) to m*a**3 + c + i*a**2 + f*a**4 + g*a and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -869, -1, -5, -2 in descending order.\nAnswer: -1, -2, -3, -5, -869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) + 1 + 2 + sqrt(2299) - (5 + sqrt(2299) + -1 + sqrt(2299)))**2*-3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -0*n + 25*n. Put 1, 2\/9, n, 14 in increasing order.\nAnswer: n, 2\/9, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 48.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: a9 (base 11) to base 15\nAnswer: 7e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a meter in millimeters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 133*i + 148. Is 34 a factor of y(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-7\/6)\/(((o**(-14)*o)\/o)\/o))**1 assuming o is positive.\nAnswer: o**(83\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a1 (base 16) to base 5.\nAnswer: 14220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8, 0.4, -3, -22, 79?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -3*z + 3. Let j(b) = -4 + 2 - 7*b + 7*b**2 - 4*b**2 + 8. Let h(w) = -2*w**2 + 6*w - 5. Let d(m) = 7*h(m) + 6*j(m). Determine d(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g + 0*g + 2*g)*(-g**3 + 2*g**2 - 2*g**2) + 130*g**4 - 33*g**4 + 36*g**4.\nAnswer: 136*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 714952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-8))\/((-11)\/66). Sort 0.3, -15, p, 0, -12\/7 in increasing order.\nAnswer: -15, -12\/7, 0, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16 + 5?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4*u. Let f(y) be the second derivative of -y**5\/20 + 2*y**4\/3 - 3*y**2\/2 - 2*y. Let s be f(8). Determine m(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 2*o**2 - 9. Let p be v(3). Suppose -5*d + 115 = -5*k - p*d, 0 = 3*k + d + 61. Let z be 67\/(-63) + (-3)\/k*2. Is z less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114825 is divided by 577.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6119 - -48889\/8. Let u = 1 - 0. Calculate the common denominator of (-213)\/(-60) - (-2 + u) and q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1897, 15004, 50569, 119818, 233977?\n\"Answer: 1871*l**3 + 3*l**2 + l + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -124 - -123. What is the tens digit of (z - (-54)\/(-4))\/(1\/(-14))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 51, 111, 209, 357, 567, 851, 1221?\nAnswer: 1689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n**2 + 70*n + 373. Calculate t(-14).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, y: 2, o: 2}. What is prob of picking 2 o and 2 y?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 5. Let m(y) = 14*y - 1012. Let l be m(72). Let k = 30 + -29. Put -1, l, t, k in descending order.\nAnswer: t, k, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k + 4. Let j(h) = -24594*h**2. Calculate o(j(a)).\nAnswer: -24594*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + (-4)\/(-8)*-94. Let p = 145 + t. Calculate the remainder when p is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -2*l - 1\/2*l**2 + 1. Let b be r(-6). Solve b*i + 1 = -7 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 2163 in increasing order.\nAnswer: -5, 4, 2163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 188473493 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + k**2 + k + 1. Let z(d) = -13*d**3 - 5*d**2 - 5*d - 5. Let u(c) = -82*c + 415. Let y be u(5). Calculate y*x(v) + z(v).\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 32 = 5*l. Suppose 7*a + 1 = l*d + 2*a, -d - 3*a = -13. Suppose 4*h = -h + d*h. What is the second biggest value in 0.1, -6\/11, -3\/5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n + 13. Let h be k(11). Suppose h*u + 36 - 70 = 0. What are the prime factors of u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-4)\/h)**(2\/177))**47 assuming h is positive.\nAnswer: h**(-376\/177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1351, -2700, -4049, -5398?\n\"Answer: -1349*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5129, -40863, -137847, -326705, -638061, -1102539, -1750763, -2613357?\n\"Answer: -5104*y**3 - y**2 - 3*y - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -5, -0.3, -29?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 2*c**4 - 4*c**3\/3 - 7*c**2 + 49*c + 94. What is the remainder when f(3) is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 5*r**3 - 2385*r**2 + 21130*r - 32760 = 0.\nAnswer: 2, 7, 468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 5*k - 152 = -6*h - 192, -28*h - 168 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5767 by 7.\nAnswer: -5767\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2246*j**2 - 4493*j**2 + 2245*j**2 + 645 to the form c*j**2 + m + k*j and give m.\nAnswer: 645","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/6)\/(4\/54). Let m be (-8 + f)\/(2\/8). Suppose 0*x + x + 43 = m*d, -2*d + 8 = 4*x. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -1\/5 - 1\/5*p**2 + 2\/5*p = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 2:56 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 4 - 3 - -18?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1182684 and -0.5.\nAnswer: 1182683.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1130)\/(-4)*(-96)\/(-15). Let g be k\/36 + (-4)\/18. What is g rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 816 and 10?\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1 (b) -0.4 (c) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.1 - 2.3. Let o = v + 1. Put -0.5, o, -2\/9 in ascending order.\nAnswer: -0.5, -2\/9, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/46 and -202 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -3, -0.96, -9\/10, -1\/3, -2, 2, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q + 3. Let t be (-4 - -1)*-2 + -3. Let k(x) = 3*x + 5 + 3*x - t*x + 3*x. Let s(l) = -3*k(l) + 5*p(l). Let m(d) = 3*d. Calculate s(m(j)).\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 less than 26.74168?\nAnswer: 74.74168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 - 50505*p - 100990.\nAnswer: -5*(p + 2)*(p + 10099)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3*-3*sqrt(180)*-3 - (sqrt(180) + 1 + 2 + sqrt(180) + sqrt(180) + (sqrt(180) - (sqrt(180) + -2)) + 0 + sqrt(180))))**2.\nAnswer: 1860*sqrt(5) + 173005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -1\/16, -659.\nAnswer: -659, -1\/16, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, i: 1, m: 1, q: 1, u: 2, b: 1}. What is prob of picking 1 m and 1 u?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 385410 <= 385385?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10385, -10369, -10347, -10319, -10285?\nAnswer: -10245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, e: 4}. What is prob of picking 4 e?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -631 + 626. Let u be 4\/(-10)*5\/1. What is the closest to 0 in u, -1, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b + 12 = 15*b. Calculate the smallest common multiple of 6 and (26 - 2)\/b - -3.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.635864 - -18117061.\nAnswer: 18117061.635864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3 = 0, 3*a - 4*z - 15 + 7 = 0. Solve -v - k + 6 = 0, 2*v - a*k + 7 + 5 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s - 37. Let w(g) = 38. Let o(y) = -2*v(y) - 3*w(y). Let r be o(-27). Let f(k) = 78*k + 7. Is f(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 3856 + 8232 = 0. Suppose 5*h - s - x = 0, -4*h + 1706 = s + 490. List the prime factors of h.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/637154 and -91\/4095990.\nAnswer: 28671930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 87*b**2 + 169*b + 409. Give y(-4).\nAnswer: 1125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24)\/(-13) + 14\/91. Solve -3*d + j*f = 6, 2*d + 3*f = -9 - 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 740?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1035 = 1035?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 535*s**3 - 33*s**2 - 6?\nAnswer: 3210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*l**3*t*u + 27*l**2*p*t*u - l**2*t**2 - 15*l*p*t**2*u - l*t*u + p*t**2 - t*u - u wrt l.\nAnswer: 24*l*t*u + 54*p*t*u - 2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 65 (base 10) to base 15\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 71*a - 70*a - 22393, -a = 5*z - 22363. What is the ten thousands digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q - 16*q - 3*q as k*q + o and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -10. Let l = 0.135 + -115.135. Let g = -116 - l. Which is the closest to g? (a) -0.3 (b) -4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 542370419?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 5333.5.\nAnswer: -5334.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x + 49. Let m be c(-23). Let n be 100\/75 - 1\/m. What is the closest to 0 in n, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50861, 50859, 50859, 50861, 50865, 50871, 50879?\nAnswer: 50889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 0.1 in decreasing order.\nAnswer: 3, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 165 = 12*c. Let t = c + 39. What is the common denominator of (1490\/(-225))\/(t\/20) and -71\/60?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.93 rounded to one dp?\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59 - -110. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -20*p**3 + 51*p**2 - 4*p + 4. Let k(x) = -x**3 + 3*x**2 - x + 1. Give -4*k(w) + u(w).\nAnswer: -16*w**3 + 39*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20124905347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 444144*i + 1 + 25*i**2 + 1 - 217*i**2 - 444146*i - 6*i**3 to the form c*i + j + l*i**3 + p*i**2 and give p.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -11*n - 12. Let v be (n - -1)*(-3)\/2. What is the third derivative of -2*u**2 + 0*u + v*u**5 + 0*u - u**5 wrt u?\nAnswer: 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 5*p**3 + p**2 + 2*p - 1. Let i be y(-2). Suppose -45 = m + 3*g, g - 12 = 3*m + 83. Let w = m - i. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4020, 3188, 2356, 1524?\nAnswer: 692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 84, 207, 330, 453, 576?\n\"Answer: 123*j - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -389866.8 - -2.\nAnswer: -389864.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**3\/2 + 3503*b**2 - 28045*b\/2 - 17525 = 0 for b.\nAnswer: -7010, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 10049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23728, 23767, 23808, 23851?\nAnswer: 23896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3104291?\nAnswer: 97, 32003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 296 = -5*a, 54 = -a + 2*c - 0*c. Let o = 64 + a. List the prime factors of 2\/14 - (132\/(-7) - o).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*j**3 + 609452*j**2 + 15673051 wrt j.\nAnswer: -45*j**2 + 1218904*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -3*p + 48. Let b = -8 + p. Suppose b*r - 76 = -0*r. Solve r = -s - 3*v, -s + 3*v + 14 = 3 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-35)\/1260*(2\/(-1) - 13). Let b(m) be the third derivative of g*m**5 + 0 + 0*m**3 + 0*m**4 + 0*m + 11*m**2 - 1\/24*m**6. Factor b(d).\nAnswer: -5*d**2*(d - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/2 (b) -530 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266168540.\nAnswer: 2, 5, 11, 109987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - (-2 + (2 - (-15)\/1)). Find the common denominator of -5\/22 and q\/28 - 2\/4.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - z - 8. Let v be g(0). Let k be -6*2*(-6)\/v. Let r = k - -13. Solve o + 3*o = -r for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -12. Suppose 5*c + f*u = 43 - 8, -3*c = -2*u - 26. Let h = -55278 + 55280. Calculate the highest common divisor of h and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130000?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmemtmmrmmeremegem. Give prob of sequence trr.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 2*v**2 + 4*v)*(6*v - 3*v + v)*(0*v**2 + 2*v**2 - 4*v**2).\nAnswer: -16*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*u = 25*u + 5*v + 14, -4*u = -3*v + 10 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3 - 2 + i**2 - 2*i**2 + 18. Suppose 9*d + 279 = 306. Let x be u(d). Solve 0 = 5*v + x + 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + 3*j - 20, x + 4*j = -6 - 21 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30640 to the power of 1\/2, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 80 - 76. Suppose -a = 3*q + 50. Let n(u) = -3*u - 55. Let o be n(q). Which is bigger: o or -52?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -5*w - 2623. Let l(h) = 4*h + 2621. Give -7*l(a) - 6*m(a).\nAnswer: 2*a - 2609","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 11:19 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47862327*b**3 - 6674567*b**2?\nAnswer: 287173962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -a1984?\nAnswer: a1982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*x + 985 = -140. Suppose -20*n - x = -85. Solve 2*f - 2 = n*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000586354455 rounded to 7 decimal places?\nAnswer: 0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 30, 68, 106, 144?\n\"Answer: 38*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200240*b**3 - 200247*b**3 + 400489*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7713204 by -3.\nAnswer: -2571068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddgdgg. What is prob of sequence gg?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -5 - 4 + 10*q + 3 - 11*q. Let g be y(-4). Let s = 3 - g. Solve 2*p = p + s*n - 24, 2*p + 18 = 4*n for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of (-702)\/(-156) - (-60782)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -100043034231?\nAnswer: 100043034224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of 11*p**7\/35 + 11*p**6\/120 - p**5\/60 - 575*p**4\/8 - p**3\/2 - 18*p**2 + 27*p + 1. What is the second derivative of t(y) wrt y?\nAnswer: 792*y**2 + 66*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/5 + 13*h**2\/5 + 96*h\/5 - 108\/5.\nAnswer: -(h - 18)*(h - 1)*(h + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-22)\/(-4) + -2 + (-6)\/(-12). Let i be (1 - 0)\/(5\/(-10)) + c. Suppose i*s + 5*s - 24437 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4315 (base 10) in base 16?\nAnswer: -10db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 22 = m. Let z = m - 15. Let k = -112 + 232. Calculate the highest common factor of k and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -18261.\nAnswer: -5478.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8249*i**2*y + 4*i*y - 43 wrt i?\nAnswer: 16498*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 174*j**3*r**2 - j**3*r + 354*j**2*r**2 - 2*j*r**2 wrt j.\nAnswer: 1044*r**2 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/1571 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 14171\/44, -97, -4?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1068.144 rounded to the nearest 10?\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -706185 greater than -706185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + d + 0*d = 5, 3*t = 5*d - 19. Let j(s) = -s**3 - 3*s**2 + s. Let h be j(t). Put -1, 2, h in increasing order.\nAnswer: h, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31903*g*x**3 - 111*g*x**2 - 2*x**2 + 18 wrt x.\nAnswer: 191418*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1594\/2 - (3 + (-2 - -4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2478 = 5992. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 11*u - 29. Let k be a(13). Let w be (1*(-1)\/k)\/(13\/78). Suppose 4*f - 8*o = -4*o + 672, -524 = -3*f - w*o. What are the prime factors of f?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/4*46704\/2502?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - -1)\/((-18)\/(-63)). Solve -3*q + a - v = -a, 0 = 4*a - 8 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(1100)*2 - sqrt(1100))**2 - 2*sqrt(99)*-2.\nAnswer: 12*sqrt(11) + 89100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 6*a**2 + 10*a + 16. Let t = -1108 - -1118. Let z(y) = 2*y**2 + 3*y + 5. Let q(d) = -d + 2. Let p be q(5). Calculate p*l(j) + t*z(j).\nAnswer: 2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*t**2 + 465265*t - 1861140 = 0. What is t?\nAnswer: -93057, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 57 and -1332958259018?\nAnswer: 1332958259075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1127 a factor of 11848151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-7)\/p)**35*p*(p**(-5\/6)*p*p)\/p*p**(-6)\/p assuming p is positive.\nAnswer: p**(-1715\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -4*y - 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6237*l + 105*l**3 + 6241*l + 77*l**3 - 18723*l + 6245*l - 157*l**3.\nAnswer: 25*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-3 - 1 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/5)*y**(-3))\/(y**(1\/12)\/(y\/(y\/(y**(-4)*y)*y))))**(1\/3) assuming y is positive.\nAnswer: y**(-401\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 842, -1, -4\/7, -0.9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117223 - 197177 = -131*d. Calculate the least common multiple of d and 1680.\nAnswer: 16800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/9, 26\/7, 0.3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 301677038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -645*l - 1432*l + 214*l - 2014*l + 174465 for l.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2976*o - 491033. Determine s(-165).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/113147 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -17*h**2 - 3*h + 4. Let t(k) = 16*k**2 + 3*k - 5. Determine 5*d(q) + 4*t(q).\nAnswer: -21*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -533 + 536. Solve -21 = -y - 4*f, q*y + 2*f = 2 + 11 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or -28?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -4014*t**5\/5 - t**3 - 729*t - 4372. Find the third derivative of d(f) wrt f.\nAnswer: -96336*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -107*s + 104*s - x - 4, 4*s + 4*x = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1100)\/575)\/((-2)\/23)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = -f + 42. Calculate the common denominator of -2 - f\/2 - (-1079)\/(-234) and -11\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (-2060)\/(-6)*15\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**3 - 10*d. Suppose 0 = -2*n - u - 6, 5*n - 4*u + 18 = -23. Let p(s) = -2*s**3 + 9*s. Determine n*r(i) - 6*p(i).\nAnswer: -3*i**3 - 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/3)\/(((-8)\/(-762))\/(-4)). Factor -15 + 10 - 15 - 20*f**4 - 100*f**3 + 154*f - 165*f**2 - g*f.\nAnswer: -5*(f + 2)**2*(2*f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (15\/10)\/(9*(-9)\/(-14742)). Solve 2*k + 275 - t = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.106189 and -566.\nAnswer: -566.106189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of s**4\/4 + s**3\/3 - s**2 - 3*s - 3. Let i be p(-2). List the prime factors of (-1)\/(i + 250\/85).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 1. Let q be d(1). Let h = 10 + q. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z - 2*a - 17, -z - 145*a + 149*a = 1 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -21*s. Let c(j) = 2191*j - 12. Let u(d) = -23139150*d + 126730. Let k(w) = -63365*c(w) - 6*u(w). What is 2*k(x) + 209*q(x)?\nAnswer: -19*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15948996 by 5316332.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 15*z = 11*z - 33, 5*z = -10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 21.3. Let h = 0.07 - 0.007. Let m = h - -0.937. Sort m, -4, 4, x.\nAnswer: -4, x, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -m - 1. Let b = m - -55. Does 18 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a**3\/5 + 8*a**2 + 23*a\/5 + 2\/5 = 0. Calculate a.\nAnswer: -1, -2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-28)\/((-504)\/(-27)))\/(-2 - (-29)\/16). Let v = -6 - -12. Let d = v - 3. Solve -d*n + 7*n = z for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(1260\/160)*6\/(-8).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -55*r**4\/24 - r**3\/2 + 2*r**2. Let p be f(-3). Suppose -248 = -3*t - l - 0*l, -4*l = 2*t - p. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2584053435 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: Solve -56*b + 29*b - 286 = -5*b for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*p + 2470 = 0. Let h = -196 + p. Suppose -5*j + h = 103. What is the common denominator of -39\/4 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/58058 and -39\/2996.\nAnswer: 12424412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -2*s**6\/3 - 4*s**5 - 9*s**4 - 28*s**3\/3 - 4*s**2 - 17. Solve k(w) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u + 4*u - 5*u)*(-u + u - 3*u) as w + r*u + h*u**2 and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-1\/7))**(-29\/4))**(-4\/23))**38 assuming l is positive.\nAnswer: l**(8816\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4677002 and 8040?\nAnswer: 280620120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 = -5*v + 9*u, -75*u + 50*u = -v + 88 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6225 and 5612709.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -7*i**2 + 3*i + 14. Let l be w(-3). Let j = l - -42. What is the hundreds digit of (-3)\/2 - (2648\/j + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -23*w**8\/56 + 13*w**4\/6 + 15*w. Find the third derivative of g(r) wrt r.\nAnswer: -2760*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 3)*(55388 - 646*w - 55388) - 2*w + 4 - 4 to a + l*w and give l.\nAnswer: -648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = k + 3*k - 12, 0 = n - 2*k - 22. Let x = 16 - n. Let g be (-3)\/(0 - (-2)\/x). Which is the biggest value? (a) g (b) 2 (c) 1\/8 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2887\/16434 - 15\/83. Suppose 36*u = -39*u + 90*u + 15. Which is greater: u or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -84556 and 9396.\nAnswer: -75160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14011\/140 - -696\/7. Calculate the common denominator of 87\/32 and x.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -78 - -83. Let t be -1 - -4 - (-2)\/(0 - -2). Solve -2*z + k = 3*i - 3*z, -t*z = 3*i - 25 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 5*p + 5. Let d = 32 - 18. Calculate the remainder when d is divided by w(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374220 is divided by 277.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3 + 0 - 6*y + 2. Let i be u(-1). Let b = -1\/33 - -106\/231. What is the third smallest value in b, 1\/5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-273)\/(-728) - ((-6)\/(-16) - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - 7725.34899.\nAnswer: -7711.34899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -100863 and -152256.\nAnswer: -253119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20088\/15365 - -266\/2195. Let i = 43496\/36921 - 20\/1191. What is the common denominator of l and i?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o. Let b(i) = 3*i**2. What is g(b(s))?\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 450 = -3*k, 45*k - 2*l = 44*k + 150. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -101 + 101.1. What is the nearest to h in 1, 11, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 6*n**2 + 2*n + 4. Let v be k(6). Suppose 0*r + 2*l = 5*r + v, -3 = -l. Let p(o) = o**3 - 3*o**2 - 2*o. What is p(r)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 12 = 5*t, 4*z = -4*t + 16. Suppose 4*k = -p + 3*p, 4*k = -4. Which is the closest to z? (a) -0.5 (b) p (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 14647 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -128*t - 37*t**3 + 127*t + 38*t**3 - t**4 - 48*t**2 to u*t**2 + v*t**4 + g*t**3 + k*t + l and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1 - 0.101786.\nAnswer: -1.201786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/15 (b) 0.6 (c) -2\/9 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 1. Let z(y) = 2*y**3 + 3*y**2 + 5*y - 3. Let c(d) = 3*o(d) + z(d). Determine c(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 72*u. Let a(z) be the third derivative of z**5\/10 + 3125*z**2. Determine a(d(n)).\nAnswer: 6*n**4 - 864*n**3 + 31104*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 5*g. Suppose g = -3*p - 0*p + 159. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -20*d**3 + 9*d**2 - 9*d + 9. Suppose 3*p - 118 = 5*p. Let r = 68 + p. Let m(j) = -5*j**3 + 2*j**2 - 2*j + 2. Calculate r*m(z) - 2*b(z).\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**4\/4 + 111*n**3\/4 - 105*n**2\/4 - 111*n\/4 + 27 = 0 for n.\nAnswer: -1, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 4 - 13, 2*z = -4*n - 32. Let r be (-20)\/(-4)*(-4)\/z. Let q(s) = 3*s + 9 - 4*s**2 - 3*s. Let a(m) = m**2 - 2. Calculate r*q(f) + 9*a(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**2 - 2*w**2 + 3*w**2. Let y(v) = -29*v**2 - 1. Let o(t) = -798*t**2 - 28. Let z(s) = o(s) - 28*y(s). What is z(p(u))?\nAnswer: 126*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 4*w = -0*s + 29, -21*s + 16*s + 92*w - 94*w = -9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 644 divide 5795571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i**3 - 3*i**2 - 5*i + 2. Let z be n(4). Calculate the highest common divisor of z and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 195828220 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.864 take away 41?\nAnswer: -39.136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-1\/14))\/s**(3\/5)*(s**10*s*s)\/(s\/(s*s*s*(s*s*s*s*s**(-2))\/s*s*s)) assuming s is positive.\nAnswer: s**(1213\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k**3*l**3 - 2*k**3*l + 32467*k**3 - 2*k**2*l**3 - 49988*k**2 wrt k.\nAnswer: -12*l**3 - 12*l + 194802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 281726048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 2\/5, 12\/11 in increasing order.\nAnswer: -2, -1, 2\/5, 12\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10.56 - -10.56. Which is smaller: x or 2\/439?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/(-600) - 381381\/10920?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23\/105 - -1\/15. Let w = 3186 - 3186.2. What is the second biggest value in w, s, -1\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12003374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - (-6 - -5)) + -7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*m - 34 = 32 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -301569*w - 324746*w + 626313*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 0\/2)\/(22\/(-132)). Suppose 0 = z - 5*z. Let l(j) = j**3 + z - 6*j**2 - 2 - 2*j**3 - 2. Calculate l(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/24)\/((2\/2)\/(-20))*(-2928)\/732?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 86*m**2 + 754*m + 13. What is y(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*s**5\/5 - 230469*s**4\/5 - 632184678*s**3\/5 + 813124032*s**2\/5 - 180708864*s\/5 = 0. Calculate s.\nAnswer: -5488, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -354.558 - -2.358. 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: Evaluate ((10\/105)\/(122\/(-427)))\/((-2)\/132).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-2\/21)*(i\/i**(-1))\/i)**(-33))**(-33))**38 assuming i is positive.\nAnswer: i**(262086\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48058*c = -2*v - 48056*c + 6, c = 4*v - 9 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-412)\/3*6\/4. Let x be y\/((-7)\/((-14)\/(-4))). Suppose -x - 457 = -5*h. Is 16 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + (-3 - (-5)\/(-3 + 4)). Solve -4*o = -5*o + m for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12c36d (base 16) to base 7.\nAnswer: 13311031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*p + 1 = -9, -2*p = 5*o - 4. Let v(i) = -i**3 - i**2 + i - 4. Calculate v(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11 - -24ca72?\nAnswer: 24ca61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 11) to base 13\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 83, 110, 143, 182, 227?\nAnswer: 278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1947 and 2832?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 92?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -5*u + 23 + 322, 3*n = u + 509. Let y = n - 182. Suppose 4*d = d - 36. Is y <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -1154.6236?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 43, 236, 745, 1726, 3335, 5728, 9061?\n\"Answer: 26*i**3 + 2*i**2 + 5*i + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 4*w**5 + 56*w**4 - 60*w**3 = 0.\nAnswer: -15, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25530171?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + z**2 + z - 13. Let o = -5 - -57. Let q = o - 12. Let k be 6\/(-4) + 60\/q. Calculate d(k).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6310 - -6347. What is the remainder when 131 is divided by o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 364321, 728712, 1093115, 1457536, 1821981, 2186456, 2550967, 2915520?\nAnswer: 3280121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of 14425*b**5\/2 + b**4\/3 - b**3 - 2*b**2 - 5*b + 3. Let x be r(2). What is x rounded to the nearest 10000?\nAnswer: 1150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5 = 5*f, -2*d + f = -0*d - 17. Let z be (15\/d)\/((-2)\/(-4)). Solve g + 3 = 3*n, z*g + n + 15 = -2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/(-10)*(-6)\/1773. Let b = q + 405\/2167. Factor 4\/11*u**4 + 2\/11*u**5 + 0*u**3 + 0 - 4\/11*u**2 - b*u.\nAnswer: 2*u*(u - 1)*(u + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 95, 156, 235, 338, 471?\nAnswer: 640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*v**3 - 4*v**3 + 8*v**3 + 2*v**2 + 0*v**2 + 5*v to the form f*v**2 + i + d*v**3 + a*v and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 26324977 rounded to the nearest one thousand?\nAnswer: 26325000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.86 + -1.86. Let x = -2 - -3. Let v = -11 + 9. Which is the nearest to x? (a) -1 (b) p (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(6)*-2 + sqrt(6))\/(sqrt(8)\/sqrt(100)))**2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51 + 57. Let u(p) = 5*p**2 + p + 4. Let d(t) = 14*t**2 + 4*t + 13. Let q(b) = v*d(b) - 17*u(b). Calculate q(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1545*k + 2699 with respect to k.\nAnswer: 1545","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j. Suppose 0 = -0*r - 4*r + l - 4, -4*r - 2*l = 16. Let w be 2\/(-8) + (-1)\/(-4). Let y(b) = w + 5 - 3. Determine r*v(t) + y(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven tenths of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 139, 110, 77, 40, -1, -46?\n\"Answer: -2*d**2 - 23*d + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 483 divide 214740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 68490653?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - k - 16, 2*k - 33 = -4*c + k. Let y(r) = r - 7. Let n be y(c). Let z = 138 - 688\/5. Which is greater: n or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*x = 33*x. Solve 5*o - o + 12 = x for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20\/7*x + 0 + 6*x**2 + 4\/7*x**3 = 0. What is x?\nAnswer: -10, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8735, -12635, -16535, -20435, -24335?\n\"Answer: -3900*i - 4835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.2, 3, 0.2, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2110111112 - 211011122?\nAnswer: -10021200011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-11 - -1)) + 0\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**2 + 2*p**2 + 0*p**2)*(2 - 4 + 1)*(10*p**2 - 8*p**2 + 14*p**2).\nAnswer: 32*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -325 and -1.05.\nAnswer: -326.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -425 = 4*p + 13744*t - 13751*t, 0 = 2*p + t - 71 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m*r*u - 115*m*u**2 + m - 815*r*u**2 - 80339*r*u wrt u.\nAnswer: -230*m - 1630*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108920 is divided by 33?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 17419, 139364, 470369, 1114966, 2177687?\n\"Answer: 17422*w**3 - 2*w**2 - 3*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4693)\/4680 - (-6)\/10 and 81\/10.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 514302 (base 10) to base 12.\nAnswer: 209766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-16)*(-3)\/(-36)*1)\/1?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.132 rounded to two decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1473*v - 29 = -3*j - 1478*v, 10*j - 4*v - 42 = -7*v for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -493*q**2 + 2*q - 7. Let i(w) = -987*w**2 + 4*w - 14. Let p(d) = 4*i(d) - 9*y(d). Let l be p(-4). Let u = 11432 - l. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 122, 5, 120 in decreasing order.\nAnswer: 122, 120, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**4 - o**3 + o**2 + o. Let m(h) = 2*h**5 - 10*h**4 - 10*h**3 + 10*h**2 + 8*h. Suppose -9 = 14*y - 23. Let i(w) = y*m(w) - 8*t(w). Factor i(r).\nAnswer: 2*r**2*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 111.049 - 111. Let m = -0.321 - a. Let i = -0.47 - m. What is the biggest value in 2, i, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i**4\/5 + 8616*i**3\/5 - 2952462*i**2\/5 + 246617584*i\/5 + 249578661\/5 = 0. Calculate i.\nAnswer: -8949, -1, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 88530499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -u + 6. What is the common denominator of -47\/10 and 1 + -1 + (-240)\/u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.8 + 5.6. Which is the biggest value? (a) -5 (b) -0.02 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10*-8*(-210)\/(-12000)\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + 0.2. Let r be 3\/(-21)*1*-2. What is the closest to r in h, 1, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + -2 + 16 + 1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3\/5 - 33*z**2\/5 + 54*z\/5.\nAnswer: 3*z*(z - 9)*(z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + t**2 + t - 1. Let k(o) = 10*o**2 + 8*o**3 + 5*o + 3*o - 2*o + 2*o - 6. Let c(r) = 6*f(r) - k(r). Find m such that c(m) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 1153972438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3709700 divided by -100?\nAnswer: -37097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1342 + -0.0658. Which is the closest to -2\/7? (a) 1\/3 (b) 0.5 (c) 5 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 2*w - 12, -4*l + 4*w = 3*w - 12. Suppose h = l*h - 3*h. Solve -14 = -5*j - 3*z - h*z, -5*j = -z - 22 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31*c**3*o + 29304*c**2*p - c*o*p - c*o + 22*c - o*p - 35*p wrt c?\nAnswer: -186*c*o + 58608*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 13*p + 6. Give i(14).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -17*k. Let o = -183 + 357. Let c(u) = 88*u + 89*u - o*u. Determine c(d(f)).\nAnswer: -51*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4186\/104)\/(9\/864). What is the highest common factor of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -24*x - 17. Let n be j(3). Let o = n + 115. Is 16 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5b97 - -113?\nAnswer: -5a84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3881711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 4*m**2 - m + 3. Let s be n(-3). Let z be 24*1*(-19)\/s. Suppose -5*a = -z + 62. Calculate the highest common divisor of 6 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and 0.10526?\nAnswer: -0.73682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**2 + 0*c**2 + 3*c + 2*c**3 + (-3*c + 0*c - c)*(4*c**2 - 6*c**2 + 5*c**2) - 3*c**3 + 3*c**3 - 2*c**3.\nAnswer: -12*c**3 + 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 28*v + 97. Give w(33).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(156))\/(-1*sqrt(12)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x - 3. Suppose 21*n + 3 = 20*n. Let d be w(n). Solve -y = -3*y + d for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*i**3 - 18*i**3 - 3 + 2 + 1.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 4*p - 18, -3*k + 2*p - 3*p = -8. Factor 4\/3*n**k - 2\/9*n**3 + 16\/9 - 8\/3*n.\nAnswer: -2*(n - 2)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 16) to base 9.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1839 + -1840. Let w = -0.01 - 0.12. Let z = w + 0.05. Which is smaller: k or z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 63*v + 271. Let c be h(-9). Which is smaller: -294 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 60*l - 840. What is q(14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -197, -671, -1583, -3077, -5297, -8387?\nAnswer: -12491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t - 2. Let a(b) = 8*b - 5. Suppose -26*c + 8*c = -180. Suppose -8 + c = -i, -37 = -3*v + 5*i. Calculate v*w(f) - 4*a(f).\nAnswer: 4*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-150)\/(-20)*(-4)\/6. Suppose 0*q + 3*q = 111. Let b = q - n. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -660857 (base 9) to base 10.\nAnswer: -394360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 14*s + 183. Give a(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80844?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6285766?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -110010010 (base 2) to base 14\nAnswer: -20a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g**3 - 28*g**2 - 7*g + 16. Let w be p(-9). Let r be (-3)\/(-9) - w\/12*2. Which is smaller: r or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2145 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from ljyjjjjfjhfhyjjhjfl.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5297*l**5 - l**2 - 2510*l.\nAnswer: -317820*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q**(1\/4)\/q)))**(11\/4)*q**0*q**(-3)*(q\/(q**(-2)*q)*(q*q*q**(-1\/7)*q)\/q*q*q)\/(q**(-2\/9)\/q*(q*q**(-1)*q)\/q) assuming q is positive.\nAnswer: q**(2033\/1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7050166463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -11*w - 1. Suppose -3*s + 6 = -6. Let y be (1 + -9)\/4 - s. Is i(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 + 813*u - 31.\nAnswer: 813*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6614*2\/20 + (-86)\/215. Suppose 0 = -8*w + 6*w - 5*r + j, 0 = r - 3. Is w a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.06 - 0.44. Suppose 7 = k - 5. Let a be 23\/(-20) - (-9)\/k. What is the third biggest value in a, 0.1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 9*z + 2. Let v(s) = 1. Determine f(g) - 3*v(g).\nAnswer: 9*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -838 less than -840?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -10155.2 and 4065.\nAnswer: -6090.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.6 + -7.3. Sort 0.2, q, -2\/17 in ascending order.\nAnswer: -2\/17, 0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2092, -8354, -18790, -33400?\nAnswer: -52184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1567*f + 1448*f + 771*f - 192*f as v + a*f and give a.\nAnswer: 3594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -4\/3, 3, 14?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqg when three letters picked without replacement from gknssqqsgqggq?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 9, i: 3, v: 7}. Give prob of picking 1 w and 1 i.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 5*a + 54, 4 = q + 2*a. Solve 3*p - 2*p = 5*i + 22, -5*i = 3*p + q for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 3*j - 12. Let d(u) = 12*u**2 + u + 51. Let i(q) = 7*q**2 + q + 28. Let s(a) = 3*d(a) - 5*i(a). Calculate -2*f(g) - 3*s(g).\nAnswer: -g**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/645 and -41\/372552?\nAnswer: 1862760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5*b**2 + 1012*b + 14391. Give s(-187).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.2895 - 3.277427. What is t rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.12, 3, -9, -10132 in descending order.\nAnswer: 3, -0.12, -9, -10132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 12*c + 24. Let i(s) = 7*s + 12. Let h(l) = 9*i(l) - 4*j(l). What are the prime factors of h(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x. Let n = 9 - 13. Let y(j) = 26*j - 91. Let w(u) = -11*u + 39. Let o(t) = -7*w(t) - 3*y(t). Give n*v(a) + o(a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 26*r + 4. Let x(h) = -48*h - 9. Let o(g) = 11*u(g) + 6*x(g). Let f(d) = 35*d**2. Calculate f(o(n)).\nAnswer: 140*n**2 + 1400*n + 3500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4 - 252*c**3 + 7400*c**2 + 35100*c - 42250.\nAnswer: 2*(c - 65)**2*(c - 1)*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - 2*2*sqrt(119)) + (sqrt(119)*2 - sqrt(119))*5 + sqrt(119) + sqrt(119))\/(-1*sqrt(1008)*-2 + (sqrt(1008) - -2*2*sqrt(1008))).\nAnswer: sqrt(17)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6b - -13e014?\nAnswer: 13de98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -15633 - 569839573.3?\nAnswer: -569855206.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*a - 2877 - 523. Let j = -131 + a. Solve -2*o + 6*o = -4, -2*p = -j*o - 11 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 7) to base 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -993869, -993871, -993873, -993875?\n\"Answer: -2*p - 993867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39 - -41. Let d(o) = 2*o + 3*o - h*o. Let l(r) be the first derivative of 4*r**3 - 4. Calculate l(d(i)).\nAnswer: 108*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*y**2 - 56*y + 20 = 0. Calculate y.\nAnswer: -5, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 320624?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*n - 114*n - 583*n - 14*n - 247*n + (-3*n - 4*n + 6*n)*(3 + 3 - 4).\nAnswer: -931*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4160363?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8649 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70708?\nAnswer: 2, 11, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/7)\/h)**(-40))**(-17) assuming h is positive.\nAnswer: h**(-6120\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/7 - 1184090*t\/7 + 3552288\/7.\nAnswer: -2*(t - 3)*(t + 592048)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 4*n - 19, 0 = 9*o - 10*o + 3*n + 5. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, -0.4, -32, 3 in increasing order.\nAnswer: -32, -0.4, 3\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = 10*y + 52 - 26 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*j + 387 = 33*j. Calculate the remainder when j is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 370777 and 7326?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, x: 7}. Give prob of sequence xwx.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, 338, -0.05, -68, 4.\nAnswer: -68, -5\/4, -0.05, 4, 338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**3 + 3*p**3 + 5*p**4)*(-66 + 13*p + 66 + 0*p + p - 2*p + 2*p + 3 - 3 + 0*p + 0*p - 2*p + (-3*p + 0*p + 5*p)*(2 + 3 - 7)).\nAnswer: 40*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1485 - -7499\/5. Is 15 at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 5.91\nAnswer: -0.591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 228582.\nAnswer: 1\/114291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1355 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and 41720?\nAnswer: 292040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -104542?\nAnswer: -20908.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 2. Let w = 11 - 10. What is the smallest common multiple of -3*(-14)\/6*u and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*t**4 + 5965260*t**3 - 17895804*t**2 + 17895812*t - 5965272 = 0. What is t?\nAnswer: -1491318, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/243 and -17\/189.\nAnswer: 1701","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-43 - (21 + -47)) + (2 - 0 - -2) + 9\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(-3\/5)*q**(-4)*(q**(1\/2))**26 assuming q is positive.\nAnswer: q**(53\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in 1\/6, 2\/11, -16884?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 22, 10, 18, -3 in ascending order.\nAnswer: -5, -3, 3, 10, 18, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 9 = 3*m. Suppose -m*p = -60 - 70. Is p a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 3*d**2 - 11. Let s be y(4). Let n(u) = -2*u**3 - 2*u**2 + 7*u + 3. Let z(j) = j**3 + j**2 - 3*j - 1. Let f(q) = s*z(q) + 2*n(q). Give f(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297306512 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 3, o = 4*m - 129 + 48. Suppose -m = -g - 4*g. Which is the biggest value? (a) g (b) 0 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g + 2*g - g)*((21866 - 1488 - 1190)*(-2 - 1 + 4) + 1 - 4 + 2) to j + y*g and give y.\nAnswer: 19187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l. Suppose -y + 3 = -1. Suppose -t - y*t + 50 = 0. Let o(z) = 2*z**2 + 8*z - 2. Give t*i(b) - o(b).\nAnswer: -2*b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 296.4161 milligrams to grams.\nAnswer: 0.2964161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26360 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1404 - -1392. Which is the fourth smallest value? (a) 0.4 (b) q (c) 1 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 4*r, 0*m - m = -r + 4. Let c be 4\/(-8)*m*3. Suppose -c*y = -4*b + 100, 0*b - 4*b - 5*y + 100 = 0. Solve -3*p = 2*p - b for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -704*a**2 + 776*a**2 + 8*a - 2*a - 1271*a**2 to m + c*a + z*a**2 and give z.\nAnswer: -1199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, 9\/37, -3?\nAnswer: 9\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 26 = -46 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - 0 - (-6)\/(-10). Let y = -24.53 + 0.53. Let g = y - -29. Which is the closest to 0.2? (a) -3 (b) x (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 2*k + 1. Suppose 99 = -a + 97. Give i(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 6*c + 0*c)*(-2*c**2 - 3*c**4 + 4*c**2 - 4*c**2).\nAnswer: -15*c**5 - 10*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2075 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (-2 - -1) + 3. What is the units digit of 7\/(p\/(-2) - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36802?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -537*j = -o - 535*j + 13, -5*o + 2*j + 25 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l**2 + 3*l**2 - l**2)*(1 + l - 1) - l**2 + 11*l + 789*l**3 - 787*l**3 + 7 + 0*l**2 to f*l**2 + j*l + g + r*l**3 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 + (-37 - -26) + 121.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 8:35 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 16*r - 8. Let q be l(-3). Let m(t) = -t**3 + 5*t**2 + 3. Let v be m(6). Let p = v - q. Calculate the remainder when 89 is divided by p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2038*0.14\nAnswer: -0.028532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 370?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 61.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1517760*c**3*q + 10998385*c**3 with respect to q.\nAnswer: -1517760*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 24 = 4*h, 0 = 2*s - 0*s - 5*h + 24. Let y be 0\/s + 1 + -3. Let p(r) = -3*r + 1. Let n be p(y). Solve 8 = -n*g + 3*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 692188433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 8 = 0, -20*s = -19*s + 5*t + 23 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2416\/6391 - -114\/581. Let f = -2 + 0. Let u = 0 - f. What is the fourth biggest value in o, 1, -3, u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-3 + sqrt(288) + -1)*-5 + -4 + -4)**2*-6.\nAnswer: -178944 + 46080*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-90)\/405*(-6)\/(-22)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 4*u**2 - 3*u + 2. Let y be z(-5). Let p = y + 12. Suppose -p*j - 42 = -146. Is 13 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 - -23. Let m = -29 + 17. Let n be x\/m + 2844003\/18. What is n rounded to the nearest ten thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61342 (base 8) to base 3\nAnswer: -1021201120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qvq when three letters picked without replacement from qleerrevqlllll.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10.9 + 10.598. What is f rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 1.1, 0?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + h**3 - 2)*(-52 - 8*h + 52).\nAnswer: -8*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 7:11 PM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (94*g**2 + 257*g - 257*g)*(2 + g + 4*g - g) + 2*g**3 - 2*g**3 + 2*g**3.\nAnswer: 378*g**3 + 188*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + y - 9 = -2, -1 = 4*t + y for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5659680)\/(-2640) + (-4)\/(-22)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 2*n + 10, -3*u + 3*n - 2 = 4. Let w = u + 2. Suppose w*f - 32 = -2*f. Solve 4*g + f = 4*t, -5*t + g + 20 = 3*g for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12222202 (base 5) in base 6?\nAnswer: 2302253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t. Let p(r) be the first derivative of 2144*r**2 + 5860. Determine d(p(z)).\nAnswer: -4288*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49)\/14 + 4 - (1 + -1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -247088192 divided by -4\nAnswer: 61772048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 74 - 4*n**2 + 3*n**2 - n**2 - 1 + 19 to the form m*n**2 + k + b*n and give k.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**25)\/(u*(u*u**(-7\/5))\/u)*(u**(-5\/3))**(-45) assuming u is positive.\nAnswer: u**(507\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -2*o - 8, -t + o + 12 = 3*o. Suppose -5*q = -t*q - 20. What is the units digit of 1 - (-21 + q)\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 77*t**2 + 349*t + 684. Let o(z) = -65*z**2 - 350*z - 685. Let u(m) = 6*o(m) + 5*s(m). Determine k, given that u(k) = 0.\nAnswer: -69, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 95 = 88. Let l(u) = 2*u**3 + 11*u**2 + 4*u + 10. Let y(a) = -a**2 - 2. Let p(g) = z*l(g) + 5*y(g). Find d such that p(d) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-27)\/2*10\/(-15). Suppose -2 = -y + 2*b, 3*y = b - c - 0. What are the prime factors of (-10)\/((-3)\/(-1 - y))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 94 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 0, 1, -3, -2\/53?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a week in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007491113 rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -39, -75, -133, -225, -363, -559, -825, -1173?\n\"Answer: -2*p**3 + p**2 - 25*p - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000546053 rounded to 5 dps?\nAnswer: -0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/129 and 15\/7?\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/37904 and -19\/206.\nAnswer: 37904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(208\/6)*8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-115*t - 90*t + 65*t)*(-10*t - 8*t + t).\nAnswer: 2380*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1833*q - 828 + 2929*q + 828 + 4233*q to v*q + r and give v.\nAnswer: 5329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (8\/14)\/((-1)\/(-14))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-76)\/(-5)*(-250)\/(-200)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c**2\/5 + 2121*c\/5 - 354\/5 = 0. Calculate c.\nAnswer: -118, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5914269553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/(-10) + 2\/5. Suppose -13121 = 15*k - 13166. Solve -k = -y*b + b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155579756597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 y when two letters picked without replacement from xfnxyes.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*x**2 - 3 + 2*x**2 - 2 + 0*x**2 to the form t*x + p + r*x**2 and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(1 - (0 - 0)). Let q(r) = -r**3 + 5*r**2 + 4. Let a be q(5). Suppose -a*z + 10 + 2 = 0. Put z, 4, b in decreasing order.\nAnswer: 4, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.3 - 8.52. Let c = x + 314.22. Let l = -308.24 + c. What is l rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*h + 14*h - 9*h)*((1 + 1 - 4)*(0 + 2 - 4) - 10 + 20 - 11)*(-2 + 0 + 3).\nAnswer: 81*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1185203 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 r, and 1 z when three letters picked without replacement from dzzzndzdrz?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 12 = 3*b. Suppose b*x - 20 - 16 = 0. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1263*a + 1838*a = -1591*a - 25583 + 194495 for a.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 37 - (-27 - -2) - -75?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2 + 17*b - 2. Suppose 37*k - 442 = -146. What is z(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 7*g + 2 - g**2 - 1128*g**3 - 6*g - 2*g**2. Let x be u(-2). Suppose 4*f + 17996 = -b, 2*f + x = -0*f + 3*b. Round f to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -93080*l - 2920. Let r be p(11). Round r to the nearest ten thousand.\nAnswer: -1030000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1534638 divided by -219234\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 + 19. Calculate the smallest common multiple of 1 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-4\/9)\/s**(-2\/3)*(s**(-1\/4))**(3\/2)*((s*s**(1\/8))\/s**8)**3 assuming s is positive.\nAnswer: s**(-187\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.874 + -386.126. Let c = z + 364.2. Round c to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 d when three letters picked without replacement from {r: 2, d: 4, l: 2, w: 8, u: 1, s: 2}.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/52, 0.3, -3\/7, 1\/7, 2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 99 - 73. What is the second biggest value in 1, 0.5, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1528147.\nAnswer: 17, 89891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v**3 + 6*v**2 + 2*v. Let r(p) = -5*p**3 - 6*p**2 - p. Let n(u) = 6*l(u) + 5*r(u). Is 26 a factor of n(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25005?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30011012310 - 10?\nAnswer: 30011012300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-13 - -15 - (2 + 1))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.8 + -0.2. Let s = q + 8. Let o = s - 2.9. What is the third biggest value in -0.3, 0.3, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 7 = 2*w, n - 3 = w + 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) -3.46 (b) 0.1 (c) -2\/13 (d) -4\/7 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -131410 (base 5) in base 10?\nAnswer: -5230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 341, 436, 519, 590, 649, 696, 731?\nAnswer: 754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.47 times -0.3217?\nAnswer: -8.515399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1.574 (b) 21 (c) -1 (d) 0.3 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/91205, -0.2, -2 in increasing order.\nAnswer: -2, -0.2, 2\/91205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79183 is divided by 1211?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 368 - 135. Is q + -2 + -5 + 5 + -3 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*3*(-1*sqrt(77) + sqrt(77))*5)\/(((sqrt(110) - 2*sqrt(110))*-5)\/(sqrt(10) - (2*sqrt(100))\/sqrt(10))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 3 + 12 = 0. Suppose 0 = -r + 4*s + 6, 2*s = -5*r - b*s - 45. Let q(x) = x + 8. Let n be q(r). Solve 3 = -i - n for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 1\/2 (c) 5\/2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4703608 to the nearest integer?\nAnswer: 2169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 55.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -113\/26452 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 = 4*p - 3*z, 2*z = 3*p + z + 78. Suppose 2*w + 9 - 95 = 0. Calculate the remainder when w is divided by 3\/(-2 - p\/11).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.03 - -0.03. Let p = 254442.3 + -254442. What is the closest to j in -1\/4, -0.2, p?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccccccssccsscscs. Give prob of picking 4 c.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3367298 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 4 + 14 = 0. Suppose -z*d - j + 142 = 7, -j + 5 = 0. What are the prime factors of d?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*v - 0*v. Calculate the common denominator of -11\/2 and (1\/v)\/((-2)\/(-122)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 576855 by 5.\nAnswer: 115371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (579 - 713) + -16 + 238.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -5, -6, -1\/8, -3\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 1:21 AM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 16426242785 and 0.2.\nAnswer: 16426242785.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i + 3. Let x be y(-4). Let h = 2 + x. Is h greater than 3\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -15.06.\nAnswer: 10.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 2 = -x. Let o = -2 - -4. Calculate the remainder when x is divided by (4 - o)\/(2\/5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x - 13*x**3 - 3 + 22*x + 74*x**3 - 17*x)*(-6 - 11*x**2 + 6).\nAnswer: -671*x**5 + 33*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 6 + 21. Solve -w + 4*w - x = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8486 - 8433. Solve -5*r - h*r + 464 = 0 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23081.4ml to litres.\nAnswer: 23.0814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 7*x**2 + 2*x. Let i(v) be the second derivative of 2*v**4\/3 + v**3\/2 - 3*v. Determine -4*i(p) + 5*o(p).\nAnswer: 3*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-18))\/((-1)\/2). Let y = -0.09488 - 0.20512. Which is the fourth smallest value? (a) -2 (b) v (c) y (d) -48\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31830 divided by 15915?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1308 at least 1300?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 8*t + 14. Let w be h(6). Solve 3*r - w*v = 8, 2*r + 3*v + 2 - 16 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1628 + 1651. What is the remainder when 225 is divided by i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2189, -3, -4, -6, 1, 4 in descending order.\nAnswer: 2189, 4, 1, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4515*y - 4533*y + 114 = -2*r, -r - 3 = 0 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 10:45 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/65 and -37\/92248.\nAnswer: 461240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -50099314*t**2 + 18133237.\nAnswer: -100198628*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*m + 55 + 75 = 0, -2*m = -4*t + 128. Suppose -5*u - 15 = 0, -t - 13 = -5*v + 3*u. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/5*-1*(-495)\/(-297).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006211 rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8621 is divided by 26.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9207382 rounded to two decimal places?\nAnswer: -0.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 102928 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, -2, -4, 0, 5 in descending order.\nAnswer: 5, 0, -2, -4, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**4\/6 - 2*y**3 - 2579*y**2\/6 + 6377*y - 17836\/3 = 0. What is y?\nAnswer: -52, 1, 14, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-3) - -13*125\/(-15). Let d = -104 - g. Solve -d = -r - 1 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 9*x. Let u be f(2). What is the first derivative of u*n - 18*n - 3 + 4*n**2 wrt n?\nAnswer: 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i = -14*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -6\/11 (c) 0 (d) 18.6 (e) -51\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 774*x**2 + 3097*x - 79. What is n(4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*p - 3*p + 18*p + (-p + 1 - 1)*(-1 + 6 - 1) to the form k*p + x and give k.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**3 - 17*o**2 - 10*o - 16. Let u be d(-8). Suppose u = 2*h + 5*r - 37 - 51, 0 = -4*r. Sort -0.4, -3\/4, h.\nAnswer: -3\/4, -0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a. Let f(x) = 4*x + 3. Let h = 204 + -183. Suppose -17*i + 38*i + h = 0. What is i*f(l) - 2*c(l)?\nAnswer: -2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5430\/93983 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 c when four letters picked without replacement from hhhhhcchhhhh?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2002)\/14300*(-20)\/112*6.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8\/3 (b) -2\/1617 (c) -7 (d) 0.2 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*o**3 + 6*o**3 - 2*o**3)*(2*o - o + 4*o) + (-2 + 2 + o)*(-o**2 - 2*o**2 + 6*o**2)*(-6*o + o + 9*o) as s*o**3 + l*o**4 + a + u*o**2 + w*o and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -49192 + -2.1\nAnswer: -49194.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 17) + (49 - -1) + -9 + -12.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*g + 99 + 69. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -14. Suppose 3*o + r*a = 40, -68 = o - 5*o - 3*a. Solve 5*k + o = -5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -353301?\nAnswer: -353304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 170024045 to the power of 1\/2, to the nearest integer?\nAnswer: 13039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u - 2*u + 0*u + (3 - 3 + 2)*(4*u + 3*u - 5*u))*(5*u - 2*u + 0*u) as f + d*u**2 + r*u and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 105 - 210 + 107. Let j(t) = -2*t + 4. Let d(p) = -2*b(p) + j(p). Let a(s) = 14*s. Give d(a(m)).\nAnswer: -28*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - 0 - (-11 + (-8 - -15)). Let g(q) = 4*q + w*q - 11*q. Let z(u) = u - 8. Let p(a) = 1. Let d(n) = -24*p(n) - 3*z(n). Determine d(g(s)).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((-180)\/(-15) - 18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vqdzdzqzzqq. What is prob of sequence dzq?\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24)\/15 - (-4)\/(-10). Let t = b - -8. Suppose -t*k + k + 235 = 3*d, 2*d - 2*k - 178 = 0. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7073.5 or -0.064?\nAnswer: 7073.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xn when two letters picked without replacement from dnxarnn?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + -1466.248181184?\nAnswer: -1466.348181184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 65 - 58. Calculate the highest common divisor of 147 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**2 + 0*k**2 + 2*k**5 + (-3 - 4 + 12)*(-k**5 + k**2 - k**2) + (-8*k - 2 - 28*k - 4*k)*(4*k**4 - 3*k**4 + 0*k**4).\nAnswer: -43*k**5 - 2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f - f + 3*h + 823, 3*h = -9. Suppose -3 = 5*d - 2*d, 0 = 5*u - 4*d - f. Does 18 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-736)\/(-72))\/(2\/(-18) - (-296)\/(-2664))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*k - 26*k - 3. Put -5, 0, k in decreasing order.\nAnswer: k, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34941146 minus -3?\nAnswer: -34941143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(15\/9) - -9. Suppose 1 = -4*z - 2*j + 9, 2*z = -5*j + m. What is the units digit of ((-7)\/21)\/(z\/(-33))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-8))\/((-1)\/4). Let t = 2.3 - 0.3. Let i = -4 + t. Which is the nearest to -0.1? (a) 2 (b) j (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 11\/(-3) - (-1)\/(-3). Sort 0, k, -5, 3 in decreasing order.\nAnswer: 3, 0, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 6*l**2 - 9*l + 7. Let s(r) = -r**2 + r - 1. Let b(z) = d(z) + 5*s(z). Let j be b(5). Factor y**2 - 12*y + j*y**2 + 2*y**2 + 2 + 8*y**2.\nAnswer: 2*(3*y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/7 + (-3)\/(126\/114). Let u(k) = -k**3 - 4*k**2 - 6*k. Calculate u(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -76415.0455 to the nearest one thousand.\nAnswer: -76000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 20*m - 22*m, r - 3*m = 0. Suppose g - 33*g + 18848 = r. Is g a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 + 34. Suppose -5*z + 3*n = -41 + 14, 3*z + 3*n = 21. What are the prime factors of (t\/(-4))\/(z\/(-444))?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 3:39 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 803 - 803. Suppose b = 5*g - 2178 + 273. Calculate the remainder when g is divided by 96.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t = -11*t + 6. Suppose -t*r - 329 = -p, 0*p + 3*p = -4*r + 935. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -9*w**2 + 15*w + 31. Let p(n) = -7*n**2 + 14*n + 20. Let s(q) = 4*p(q) - 3*x(q). What is s(13)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2332269228 divided by 6\nAnswer: -388711538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 736 - -23?\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 496582.197 + -98.197. Let s = r - 496508.99988. Let t = s - -25. Round t to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 1143527, 1143525, 1143523, 1143521, 1143519, 1143517?\nAnswer: 1143515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = 12*p + 66 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -0*v + 4*v - 26, 0 = 3*v + 5*s - 9. Suppose 0 = v*x - 7*x - 7. Which is smaller: x or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -12*v + 398. What is a(34)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {j: 10, t: 2}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -182138*h**3 + 16*h**2 + 12*h + 52806.\nAnswer: -1092828*h + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5101*a = -5204*a - 3811 for a.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3 - 214275*b**2 - 3826255104*b - 3826040832.\nAnswer: -3*(b + 1)*(b + 35712)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -8777 divided by -5\nAnswer: 8777\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 23, 10, -61, -190?\n\"Answer: -29*k**2 + 74*k - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + m + 5*l = 352, -909 = -5*m + 2*l. What are the prime factors of m?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 15 = 0, 3*r = p + 2*p - 4992. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-153*u - 104*u - 1268 - 125*u + 396*u)*(-2*u - 3*u**2 + 2*u**2 + u) as w*u**2 + q*u + n*u**3 + c and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.27 to the nearest integer.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dldm when four letters picked without replacement from ddllllidllidllldllm.\nAnswer: 55\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 7. Suppose 1 = 5*b + 4*s - 5, 5*b = d*s + 13. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2480*i - 27838. Determine w(11).\nAnswer: -558","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-35 - -9)\/(-3 - -1) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 1412*g**2 - 7. Let c(y) = -705*y**2 + 3. Give -2*b(j) - 5*c(j).\nAnswer: 701*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddaadadaddaaaaaaaa. Give prob of picking 1 a and 1 d.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - q - 1. Let z be -2 - (-1 - 2) - (3 - 1). Let i(k) = -2*k**2 + 3*k + 3. Give z*i(w) - 3*f(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -124837*p**3 + 39 + p**2 - 109 + 124839*p**3 + 2*p to c + a*p**2 + v*p**3 + f*p and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 791720 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: What comes next: 2189, 4379, 6569?\nAnswer: 8759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 19452.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + (0 - 1) + 1. Let h be (-2)\/4*-18 - 0. Let f be 3\/h + 0 + 0. Is q at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -864508 + 2?\nAnswer: -864506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 615247 divided by -3\nAnswer: -615247\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -487834827 > -487834828?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -50, -116, -208?\nAnswer: -326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-217*269\/(-466984))\/(19\/4*-3).\nAnswer: -1\/114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 14) to base 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(425) - sqrt(425)*-1)*3 + 0 + (-5*-2*sqrt(425) - (sqrt(425) + (-2*sqrt(425)*2 - sqrt(425)) - sqrt(425))))*-1)**2.\nAnswer: 187425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 4*h - 6 = 0. Find j such that 9*j**2 + 7*j - 8*j**h - j - 4*j**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.19, 2\/455, -5.\nAnswer: -5, -0.4, -0.19, 2\/455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, m: 2, n: 1, y: 1, b: 1, a: 2}. What is prob of picking 1 b and 1 a?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8165504*i + 64729094.\nAnswer: -8165504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) 37109 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 8.2. What is the third biggest value in 3, -0.3, q?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 11*x - 340. Let d = -47 + x. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 2*y + 124 = 0. Let s be (-1)\/5 + y\/(-10). Let v(w) = 8*w - 8. Is v(s) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - 14\/(-4)*28\/(-49). Let u(w) = 840 - 840 - w**x. Let j(t) = t. Give j(u(f)).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-280))\/((-174)\/609)?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -466014 rounded to the nearest 1000?\nAnswer: -466000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*u - 194*u + 55*u + 47*u + 43*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -7)*8\/80 - 0?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 4ab104?\nAnswer: -4ab100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a day in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rz when two letters picked without replacement from zkpkpbrgzppb?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 36, 76, 116, 156?\n\"Answer: 40*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 3)*(4 + 2 - 4)*(-816*p - 5 - 1 + 6) as u*p + r and give u.\nAnswer: -1632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)\/(sqrt(77)\/sqrt(175) - sqrt(11)) - -2*sqrt(1088)*4)**2.\nAnswer: 1071017\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4416.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(2\/1))\/((-470)\/188).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*m**2 + 367427 - 122471 - 122478 - 122478.\nAnswer: -13*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159*p + 85*p + 83*p.\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 201465 and 4440?\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 2:09 PM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59706 is divided by 196.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -3*-3*((sqrt(567) + 1)*-4)**2)*6.\nAnswer: 15552*sqrt(7) + 490782","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 130031212 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 330 * -13.\nAnswer: -4290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 71 (base 14) to base 5\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 225.6675 and -14.716268.\nAnswer: 210.951232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2695122, -10780515, -24256170, -43122087, -67378266, -97024707, -132061410?\n\"Answer: -2695131*s**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12483.\nAnswer: 3, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/r**(7\/5))\/((r**13\/r)\/r))\/(r*r**(4\/7)*r**(3\/10)) assuming r is positive.\nAnswer: r**(-859\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 115628 and 8018.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*q**2 - q**2 + 28*q**2 to the form z + w*q**2 + c*q and give w.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - 12*l + 624. What are the prime factors of l?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110445054 (base 7) to base 12\nAnswer: -2296216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.00288 take away 631?\nAnswer: -650.00288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 5*i + 4*i**3 - 3*i**3 + 2*i**3 - i to the form b*i**2 + a*i**3 + g*i + j and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n - 3. Let g be y(-7). What is the highest common divisor of g and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50094 rounded to the nearest one hundred?\nAnswer: -50100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 18\/5 of a meter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 155\/(-210)*(-4257)\/29326.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4 - 39569*s**3 + 118713*s**2 - 118715*s + 39572.\nAnswer: -(s - 1)**3*(s + 39572)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o. Let p(z) be the second derivative of -z**3 - 4*z. Determine g(p(x)).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*o + 0*o + 2*o)*(4 - 2*o - 4) - 5*o**2 - 10*o + 10*o)*(2047 + 72*o**2 - 2047).\nAnswer: -648*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1640*f**3*u**2 - 18*f**3*u + 250*f**3 - 738*f**2*u**2 + f**2*u - 3*f wrt u?\nAnswer: 3280*f**3 - 1476*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 6:00 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 12) to base 15\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -157 - -157. Suppose v + 9*v - 1160 = s. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61 - -61.4. Which is the second biggest value? (a) -0.4 (b) v (c) 0.1 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4484.678945 minus -0.08?\nAnswer: -4484.598945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -2*j + 19, -5*s + 3*j + 17 = -j for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 46054 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 7*k - 10 + 13*k - 4*k + 4. Let m be o(4). Let z = m + -38. What is the common denominator of z and -31\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 22. Let x = d - -37. Suppose -x = -3*z - z. Calculate the highest common divisor of z and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 (base 13) to base 6\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of y**10\/720 + y**6\/120 + 16*y**3\/3 - 12. Let k(r) be the third derivative of z(r). What is the third derivative of k(m) wrt m?\nAnswer: 840*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 60 - 84 = 0. Let o be 0 - (2 + 3*-3). Solve -3 = l*j - w, -2*j + 7*j + 2*w + o = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -157266 divided by 17474?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.9 + -17. What is p rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4 + 2*(sqrt(180) + -1 + sqrt(180)))**2.\nAnswer: -288*sqrt(5) + 2920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*g + 0*g - 2*g)*(-3*g + g + g) + 9*g**2 - 8*g**2 + 17*g**2 - 52*g**2 + 656 - 656 to the form x*g + r*g**2 + z and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7114 or 2?\nAnswer: 7114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lk when two letters picked without replacement from {l: 1, t: 3, x: 1, k: 1, f: 3, e: 9}?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 44, -2, 42 in ascending order.\nAnswer: -2, -0.4, 42, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2103 - 2091.9975. Let b = u + 0.0475. Let q = 12 - b. What is q rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104 - (90 - (69 + -9)).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-18)\/(-8))\/((-5)\/(-20)). Suppose 5*x = -3*a - i + 43, -3*a = 3*x - 24. Calculate the greatest common factor of 21 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 5*t - 3270, -4*t = -8*t + 28. Which is smaller: -656 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1246 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 8*z + 17. Let r be o(8). Suppose t + 4*w = -r, 3*t - 8*t + 5*w + 40 = 0. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00026555647 rounded to 6 decimal places?\nAnswer: 0.000266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 13. Suppose j*n = 2*t - t + 15, 5*t - 20 = -4*n. Solve 0 = 4*p - t*p + 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86315246, 86315245, 86315244, 86315243, 86315242, 86315241?\nAnswer: 86315240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1200 + -26391\/22. Calculate the common denominator of 250\/36 - (-4)\/(-6) and q.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1458)\/sqrt(9) + 1)*3.\nAnswer: 9 + 27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212297 is divided by 4937.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 10, j: 2, g: 6, d: 2}. What is prob of picking 2 x and 2 d?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 186, 793, 1812, 3249, 5110, 7401, 10128?\n\"Answer: s**3 + 200*s**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 21*m + 97. Calculate l(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*f**3 - f + 22*f**3 + f.\nAnswer: 203*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4341*y**6 - 15*y**2 - y + 24?\nAnswer: 520920*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-24)\/(-30)*(-2)\/4. Which is the fourth biggest value? (a) n (b) -1\/3 (c) 1 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 7*h + 6. Let l be s(7). Suppose 70 = 5*o - 10. Suppose 10*k + o = l*k. Which is the third smallest value? (a) -1\/5 (b) k (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 + -5)\/(-5) + -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 8*r**2 + 8*r + 5. Let j be c(-8). Let t = 61 + j. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -121746*a**2 + 31 + 60872*a**2 + 1924*a**5 + 60878*a**2 wrt a?\nAnswer: 115440*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.312 - -0.312. What is the fourth smallest value in -1.5, -4, k, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11\/1)\/((-269)\/269)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 251376 and 144.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 14. Let j(x) = -x**3 + 9*x**2 + 10*x + 6. Let r be j(p). Is r not equal to 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 936?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182 + 1190 = -0*s - 84*s for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -686 - 2*v + 2075 - 146 - v**2 + 2100.\nAnswer: -v**2 - 2*v + 3343","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3430528 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*n**2 - 101*n**2 - 12*n**2.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.05*-2401639\nAnswer: -120081.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/3 + 0. Do 0.8 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of j**4\/6 - 4*j**3\/3 - 7*j**2 + 165*j - 5. Let m(r) = 3*r. Let n be m(2). Is k(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 1\/((-2)\/(-26)). Let h be ((-104)\/154 - 4\/22) + 36\/42. Which is the second biggest value? (a) h (b) k (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 3*z - 60 = 0. Let q = z + 16. Suppose -35 = -y - 2*k, q*k = -3*y + k + 90. What is the highest common divisor of 100 and y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -618\/13 or -48?\nAnswer: -618\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 0*b - 2*d + 8, -b - 23 = -5*d. Let y = -6 - -8. Is b*(-1)\/y*-11 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1288 + 0.06?\nAnswer: -0.0688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2886, 5721, 8556?\nAnswer: 11391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4677 is divided by 1549.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 670177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 810242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*12\/(120\/(-95))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhxs when four letters picked without replacement from {x: 1, a: 1, s: 3, m: 4, h: 3, w: 3}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1145451866?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -5870, 0.06.\nAnswer: -5870, 0.06, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0567727 nanograms to kilograms.\nAnswer: 0.0000000000000567727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -442 + 45*u + 442 - 6*u.\nAnswer: 39*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44 - 343*q**6 - 22 + 52*q**2 + 7 - 29 wrt q.\nAnswer: -41160*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -90*i**3 + 3925. Let c(f) = 4*f**2. Determine r(c(l)).\nAnswer: -4320*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (6*3*(-1 + sqrt(245)) - (-2 + -3*sqrt(245))*-6) + 4)**2.\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 322027.42814 less than -0.17442?\nAnswer: -322027.60256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20670, 20610, 20550?\nAnswer: 20490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*i - 1341 = -69*i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 p when three letters picked without replacement from bbbbbbbbbbppb.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35261*c**3*p - c**3 - 9*c**2*p + 3852*c**2 + 89*c*p + 11366 wrt p.\nAnswer: 35261*c**3 - 9*c**2 + 89*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 50 divided by -42\nAnswer: -25\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/(441\/770) + (-4)\/18. Suppose i*y + 12 = 14*y. What is the greatest common factor of y and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -80*d + 108*d + 108*d + (2 + 1 - 4)*(-2*d + d + 2*d) + (1 + 0 - 3)*(-3*d + 4*d + d).\nAnswer: 131*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, x: 7}. What is prob of picking 1 x and 1 v?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19.20937 in 295, 2\/7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245 - 986 = 18*y + 69 for y.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 27*a**2 + 77*a + 387. Determine q(30).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1643 is divided by 339.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 702373 smaller than 702373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4372372.\nAnswer: 2, 59, 97, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3414, 6825, 10236, 13647, 17058?\nAnswer: 20469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 8, c: 6, a: 3, q: 1, m: 2}. What is prob of sequence gcq?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Does 7575 divide 1250867197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -426*s**3*x**3 + 1072*s**3*x**2 - 487*s**2*x**3 - 5025*s*x - 25*x**3 - 2*x**2 wrt x?\nAnswer: -2556*s**3 - 2922*s**2 - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.64952 - -0.35048. Let m = -2.2 + 2. Let u = m + 0.1. Which is the fourth biggest value? (a) 1\/4 (b) -2\/3 (c) u (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5206323?\nAnswer: 3, 19, 241, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r - 1. Let w be j(4). Let o be (w + 2)*(1 - 5). Solve -3*l - 16 = -5*y, 3*y - o = 3*l - 0*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28066 divided by -4606.\nAnswer: -14033\/2303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*l + 1210*l - 141765 = -1226*l for l.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 46 + 187*u**2 - 46 as i*u**2 + l*u + b and give i.\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/((-48)\/8 + 28\/6). Solve -9 = z*i + 6 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) 0 (c) -2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 + (54\/8)\/((-6)\/176). Is (-29)\/(y\/462)*(-14)\/(-4) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 240, 249, 268, 303, 360, 445, 564?\nAnswer: 723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 965851.6m in kilometers?\nAnswer: 965.8516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/1*84\/(-3 + -1). Let s = -1248\/5 + 2809\/15. Let b = g - s. What is the third biggest value in 1, -1, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/32248?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2 - 2*x + 0 - 3*x + x**2. Let o be d(4). Let t(c) = 2*c + 3*c**3 - 1 + 2*c**2 - c - c**3. Determine t(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 439541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/51 and 46\/111.\nAnswer: 1887","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*j**2 - 9*j**2 + 60*j**2 - j - 16*j**2 to the form y + q*j + a*j**2 and give a.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 21*i**3 - i**2 + 8*i - 4. Let q(w) = 2*w**2 - 11*w + 15. Let c be q(5). Suppose -14 + c = -2*s. What is the tens digit of o(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 430 - 466. Let n be (-59 + 1)\/((p\/(-4))\/(-9)). Solve 0 = 113*b - n*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w + 270 = -9*w. What is the greatest common factor of w and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of 0*g**2 + 3\/40*g**5 - 1\/360*g**6 - 3\/8*g**4 - 6 - 22\/3*g**3 + 0*g. Let r(b) be the third derivative of x(b). Give r(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 43\/26 - 843\/562. Is c greater than or equal to 329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1154737903?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 106, -3, 2, -2, 243 in descending order.\nAnswer: 243, 106, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(576) - (2*sqrt(576) + sqrt(576) - sqrt(576))))\/(-3*sqrt(216)\/sqrt(8))*-6.\nAnswer: 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318*g + 52*g + 6480 = -62*g for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-400)\/(-112) - 20\/35.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2991 - -2993. Let w(r) = r - 5. Let j be w(4). Let y(x) = 2*x**2 + 2*x + 1. Let v be y(j). Solve 3*l = l + a + 7, f*l + 5*a = v for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/18)\/(1\/4). Suppose 5*u - 3*s = 0, -2*u - 3*s = -0*s. Which is the closest to 0? (a) r (b) -3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19 - 8*z**6 + 0*z**6 + 2*z**2 - 19 wrt z.\nAnswer: -960*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 0 + 16\/3*x**3 + 0*x + 32\/3*x**2 + 2\/3*x**4 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4901028753 take away -225?\nAnswer: -4901028528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -2 - 1) + -1 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -203e + -26?\nAnswer: -2065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -605*v - 32. Let b be j(-7). What is the second derivative of -4139*i**5 + 51*i - 214*i + b*i**5 wrt i?\nAnswer: 1280*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-3*sqrt(42))\/(sqrt(30)\/sqrt(5)*-2) + 3 + (-2 + sqrt(567)*-1 - -2*(0 + sqrt(567))))**2.\nAnswer: 30*sqrt(7) + 1576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 819611418 by -2.\nAnswer: -409805709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5279703.\nAnswer: 3, 11, 13, 31, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 223325 >= 223328?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -9*o - 189. Let a(n) = -35*n - 154. Let r(i) = -19*i - 84. Let y(s) = -6*a(s) + 11*r(s). Calculate p(y(t)).\nAnswer: -9*t - 189","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 562 and 22761?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -135 and -5698296422.79.\nAnswer: -5698296557.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c - 4411 = 489. Calculate the highest common factor of c and 98.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 1\/4 (c) -0.3 (d) -32 (e) -8\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 342958 and 3451?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*20\/40)\/((-6)\/(-33)).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-1\/3))**(11\/5)*u**(3\/5)*u**(6\/5) assuming u is positive.\nAnswer: u**(49\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbxx when four letters picked without replacement from qsxzzqzzzzssbzsx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8? (a) 20435 (b) 2\/5 (c) -1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + 3*j + 2 + 0*j - 6. What are the prime factors of a(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -16, 6, -1\/4, 2.\nAnswer: -16, -3\/4, -1\/4, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 103*q - 3342. Calculate k(33).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/17964 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -85, 1\/12, -4, 2.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*c - 52*c + 6*c)*(3*c + 2*c - 3*c) - 4*c**2 + 4*c**2 + 2*c**2 + c**2 - c**2 + c**2.\nAnswer: -131*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -879, 1, 4, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**5\/2 + 1772*r**4 + 1571753*r**3 + 3102782*r**2 - 59663219*r\/2 - 31364410 = 0. What is r?\nAnswer: -1771, -5, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -9070, -1\/4, 104?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v\/(((v\/(v*v**6))\/v)\/v))\/v)\/(v**(-1\/7)\/v))**(1\/57)*(((v**(-2\/9)*v)\/v*v)\/(v\/(v**5*v*v)))**(-8) assuming v is positive.\nAnswer: v**(-64691\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ae when two letters picked without replacement from {l: 1, e: 3, u: 1, q: 5, a: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 7*q**3 - 7*q**2 - 7*q. Let l = 8 + -4. Let f(t) be the first derivative of -3*t**4\/4 + 4*t**3\/3 + 2*t**2 - 8619. Calculate l*a(z) + 7*f(z).\nAnswer: 7*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, -6, -7\/13, 0.3 in descending order.\nAnswer: 0.3, -0.02, -7\/13, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 431775330\/135 + ((-32)\/18 - -2). Suppose 0 = -6*n + 1745664 + p. What is n rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.3 - -5.5. Let d = f - -8. Round d to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13420200 - 20?\nAnswer: -13420220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11112 + -11210210222?\nAnswer: -11210122110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a microgram in nanograms?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*c = 4*t - 1880, 35*t - 39*t + 3*c - 120 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.093409 to three dps.\nAnswer: 0.093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4567906?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 26418 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: Simplify (x*x\/((x*x*x**0\/x)\/x)*x)**(3\/4)*(x**1)**(3\/11)*x**(1\/3)\/(x**(-2\/7)*x)*(x**(-1\/4)\/x)**(-4) assuming x is positive.\nAnswer: x**(6599\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -191*z - 1286. What is the remainder when v(-15) is divided by 43?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 2*n**2 - 2*n - 2. Let z be m(4). Suppose -a - 4*o = -5 + z, -4*a = -3*o - 27. Let y(d) = 1 - 5*d**a + 0 - 2*d - 2. Determine y(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282*l = -279*l + 3*u - 1284, 846 = 2*l - 3*u. Solve 4*b = 430 - l for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w = 286 - 539. Let i(l) = 12*l**3 - l**2. Let b be i(1). What is the highest common divisor of w and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -53\nAnswer: 4\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -386.5927 + 393.79. What is z rounded to zero dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 220?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -37*j + 313. Let p(f) = 9*f - 78. Let z(b) = 9*p(b) + 2*t(b). Let a be z(11). What is the biggest value in 2, a, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 116*d**2*z - 2*d**2 - d*z - 7*d - 5*z wrt d.\nAnswer: 232*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 - 974049?\nAnswer: -974053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from pkpkpkpkppkpkkpkpk.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 787929\/237790 + 5\/6794. Let s = 26\/7 - l. Which is the closest to s? (a) -6\/5 (b) 2\/13 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 14*c**2 + 88*c + 954. What is w(-12)?\nAnswer: 1914","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50 (base 8) to base 16.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -0.6727, -3\/4 in ascending order.\nAnswer: -3\/4, -0.6727, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 585 and 158010723.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 4*t + 157, 5*t = 4*w + 7*t + 216. Let z be (-253)\/w + (-4)\/(-10). Suppose -3*b + 20 = -z*o, b = -3*b + 20. Which is greater: -2\/29 or o?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 36?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/7))**(2\/41)*(n*n**(1\/4))**(-1\/13))**20 assuming n is positive.\nAnswer: n**(-6135\/3731)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-114)\/((-138)\/24 + 7 + -2). Is -2\/7 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*k - 2)*(-2*k**4 - 2*k**4 + 5*k**4) + (-2*k**4 + 7*k**4 - 4*k**4 + (5*k**3 + 0*k**3 - 2*k**3)*(0*k + k + 0*k) + 3*k + k**4 - 3*k)*(2 - 2 + 2*k).\nAnswer: 12*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.00007 - -10. Round s to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 43*p - 5. Let k be i(2). What is the common denominator of k\/6*3\/(-30) and 61\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 1, 2, -87 in ascending order.\nAnswer: -87, -0.4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -1. Let o be -5 + 6 - l\/(-2). Solve 0 = -4*b + 21 - 5, -o*x = 5*b - 36 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 10*s - 5*s - 20 = 0, 5*s + 10 = 5*l. Factor 5*n - 3*n**l - 6*n - 9*n**2 + 13*n.\nAnswer: -3*n*(n - 1)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1375 - 35*42\/98. What is the highest common divisor of 1840 and b?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -467 - -466.931. Let y = -0.069 - l. What is the smallest value in y, -56, -3?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hp when two letters picked without replacement from {p: 2, h: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1786 and 5388818.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9458, -18909, -28358, -37805?\n\"Answer: h**2 - 9454*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5368 rounded to zero decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 718?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/28 - ((-221)\/7 + -10 + 81\/9)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-11 - -1 - (17 + 1 - 28))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) 2 (b) -2 (c) 350 (d) -16\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-34 + 55))\/(-26).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v - 7. Let o(k) = -k**2 - 4*k + 7. Let t be o(-6). Let w be d(t). Let i be 2 - 1 - 1 - w. Sort 0, 4, i.\nAnswer: 0, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hgiggihgvii. What is prob of picking 1 i and 1 g?\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55 + -57. Which is the third biggest value? (a) j (b) 22 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/4*(-2)\/(-3). Let p = -2 + h. Solve -4 - p = m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85\/4 of a litre in millilitres?\nAnswer: 21250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + -2)\/2*(74 - 77)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 77, 153, 227, 299, 369?\n\"Answer: -a**2 + 79*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109932*f**2 + 219832*f**2 - 109901*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 115 + 146 - 262 - 566*a. Let k(i) = i. What is k(r(f))?\nAnswer: -566*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 113 (b) -0.2 (c) -4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -7*i - 38. Let s be t(-6). Suppose 20 = 2*b - 0*b - 5*u, 0 = -b - s*u - 16. Solve -4*y = 5*d + 20, -2*y - 3*y - 2*d - 8 = b for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -45*v - 6. Let a be k(-5). Does 13 divide (-3)\/(-15) + a\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49100729 * 0.04\nAnswer: -1964029.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1452, 2919, 4406, 5919, 7464, 9047, 10674, 12351?\n\"Answer: o**3 + 4*o**2 + 1448*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + v - 14, 0*v + 4*v + 29 = 5*t. Let c(x) = x**3 - 4*x**2 - 5*x. Let b be c(t). Suppose b*u + 5*u = 85. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 6*l - 3, -2*l + 147 = 4*r - 5*l. What is the highest common divisor of r and 2893?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 942, 1890, 2836, 3780, 4722, 5662, 6600?\n\"Answer: -b**2 + 951*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1729.349 - 5237.\nAnswer: -6966.349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -11028936 divided by -4?\nAnswer: 2757234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 56 + -84. Let d = 43 + x. Calculate the least common multiple of d and 33.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of 14*f**3\/3 - 11*f. Let r(n) = 2*n. Calculate t(r(b)).\nAnswer: 56*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((-500)\/(-28))\/5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3*2)\/((-6)\/(-4)). Let o = 5.9 - 0.9. What is the nearest to -1 in 0.4, o, m?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -3*a + 3*f, 0*a - 2*f + 16 = 2*a. Is 4 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 865262 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 606 and 33392115.\nAnswer: 66784230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-110)\/12 - (-4)\/(-8) and ((-44)\/726 - 762\/(-990)*-7) + 6.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/168 and 139\/22974.\nAnswer: 91896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) 0 (b) -0.2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, y: 15}. Give prob of picking 1 y and 1 w.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**5 + 360*j**4 + 724*j**3 + 2*j**2 - 723*j - 362 = 0. What is j?\nAnswer: -1, 1, 362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 0) + (-7 - -8). Suppose c*x - 8 - 1 = 0. Suppose t = -x*u + 12, -4*t = 5*u - 0*t - 27. Solve -5*h = 4*b - 11, -3*h - 4 = -b + u for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (8 + (3 - 17) + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-648)\/(-27)*4410\/3920.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1338996?\nAnswer: 2, 3, 241, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.4, -2\/19, -0.0279 in decreasing order.\nAnswer: -0.0279, -2\/19, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 51.60921um?\nAnswer: 0.00000005160921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1 + sqrt(5))**2 - (3 + (sqrt(5)*-1)**2 + sqrt(5)).\nAnswer: 13 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -45. Calculate the highest common divisor of n and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 14) to base 4.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**2*h)**15\/(h**(-5)*h)**(-1\/24) assuming h is positive.\nAnswer: h**(269\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9650\/30 - 4\/6. Let k = -138 + u. What is the smallest common multiple of k and 9?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 49025 and 274540?\nAnswer: 1372700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 205977*-2\nAnswer: -411954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 970 and 34750?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -406*b**2 + b**3 - 2*b**3 + 408424*b - 396882*b wrt b.\nAnswer: -6*b - 812","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of 2\/3*g**3 + 0*g**2 - 4*g - 30. Let s(d) = -19*d. What is s(b(n))?\nAnswer: -76*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4533110 is divided by 266649?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 3*a + 2. Let i be o(4). Let j(m) = -1 + 2 - m + 0 - m**2. Calculate j(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -36 in 0.5, 0.1, 2, -14\/43, -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 360\/105 - (-3)\/(-7). Suppose 4 = r, 2*r = f*t - r - 3768. Suppose 0 = 29*w - 22*w - t. Does 16 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1489 + -121.\nAnswer: -1610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 6*l + 5. Let g be h(6). Suppose -g*n = -6*n + 20. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 30*b**2 + 120*b + 1166. Give k(-21).\nAnswer: 2615","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -38. Let w(v) = v - 1. Let g be w(1). Suppose b = -b + 5*a + 14, g = -5*b + 3*a + 35. What is the remainder when n is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 27*d - 123. Let u(p) = -5*p + 22. Let v(n) = -2*l(n) - 11*u(n). Let w be 8\/(-20) - (-12)\/5. Suppose -w*i + 24 = -6*i. Determine v(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1050625\/25032 + -1399\/1192. Let m = p - 521\/14. Calculate the common denominator of -19\/16 and m.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) -57847 (c) 100\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71, 90, 111, 134, 159?\nAnswer: 186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**0)**26 assuming a is positive.\nAnswer: a**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7923540457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -12, -3*l + 3*f + 21 - 93 = 0. Let q be ((-16)\/(-36))\/((-6)\/l). Let j = -12.2 + 12.3. What is the closest to j in -2, 1, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -11*b + 7. Let m be l(-5). Let a = 67 - m. Let u be (-50)\/8*(-6 + 2). Calculate the highest common divisor of a and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 8 + 1 + 647 + -639 + 33.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -100*t**3 + 4*t**2 - 4*t - 17. Let a(h) = -47*h**3 + 2*h**2 - 2*h - 8. Calculate 5*a(g) - 3*f(g).\nAnswer: 65*g**3 - 2*g**2 + 2*g + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**3 + 140 + 130 + 22*q**3 + 15.\nAnswer: 23*q**3 + 285","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8023714 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -41 + -10 + 3?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -400?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10225, -20615, -31121, -41743, -52481, -63335, -74305?\nAnswer: -85391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.4, 1, 0.086, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2 + 56. Let j(a) = -2. Let z(w) = 5*w**2 - 27*w + 6. Let o be z(5). Let m(s) = o*j(s) + n(s). What is the derivative of m(q) wrt q?\nAnswer: 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001707 rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -16037, -16040, -16057, -16094, -16157, -16252, -16385?\n\"Answer: -z**3 - z**2 + 7*z - 16042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/3 - 16*g**2\/3 - 10*g.\nAnswer: -2*g*(g + 3)*(g + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2193 is divided by 543.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**3 - 112*p**3 + 105*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2*(1212\/168 - 2\/(-7))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -210722551 + -3?\nAnswer: -210722554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 256650 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.962 times -0.01?\nAnswer: 0.00962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 36, -5, 7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8396041 to the power of 1\/3, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -7*o**5\/60 + o**4\/6 + o**3\/2 + 2*o**2 - 35*o + 6. Let w(c) = -13*c**2 + 7*c + 7. What is -5*k(g) + 3*w(g)?\nAnswer: -4*g**2 + g + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2. Let b = 42 - 41. Let s(n) = 21*n**2 - 14*n + 14. Let r(x) = -3 - x**2 + x - 2 + 4. Let q(u) = b*s(u) + 14*r(u). Give t(q(v)).\nAnswer: 49*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/7)*z\/z**1*z*(z\/z**9)\/z**(-7) assuming z is positive.\nAnswer: z**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.169 and -70.77?\nAnswer: 70.601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69\/23*25\/(-5)*-1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a - 74 = -26 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 48\/70 - (-4)\/(-10). Let x = -2.3 - 0.7. Let f = 523\/880 + 1\/176. Put f, d, x in ascending order.\nAnswer: x, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 432 = 3*i, -k + 7*i - 3*i = 144. Let y = k + 146. Solve -y = p - 7 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (8 - 4) + 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.7045 and 0.1?\nAnswer: 0.6045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (121875\/(-6))\/(5\/(-2880)). What is t rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c - 4. Let a(t) = t - 5. Suppose -217*m = -220*m - 12. What is m*r(k) + 3*a(k)?\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -28, -0.047, 2.6?\nAnswer: -0.047","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, o: 3}. Give prob of picking 1 b and 1 o.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 585585*k - 1171173*k + 585589*k. Let z(w) be the first derivative of -99*w**2\/2 - 1. Calculate r(z(h)).\nAnswer: -99*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/1419584 and 151\/21826104?\nAnswer: 174608832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18069 by 93.\nAnswer: 6023\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011100110111101 (base 2) to base 14.\nAnswer: 13485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + k + 7. Let x(u) = u**2 + 1. Let a(y) = -n(y) + 2*x(y). Let l be a(-7). Suppose -3*v + l = 3. Solve 2*b + 3*t + 30 = -2*t, -4*t = v for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37803413*r**5 - 69763866*r wrt r?\nAnswer: 756068260*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -1\/7*j**3 + 0*j**4 + 0 + 1\/7*j**5 + 0*j + 0*j**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -134360000 to the nearest one million.\nAnswer: -134000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**2 + 4*z + 3. Let g(h) = -h**2 + h + 1. Let l(x) = d(x) - 3*g(x). Let y = 5 - 8. What is the units digit of l(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 129, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.066 and -413.\nAnswer: -410.934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7246 is divided by 2362?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -11*x - 4*n + 281, 0 = -3*x + 3*n + 63. Factor 292*h**3 + 0 + 176\/7*h + 1216\/7*h**2 - x*h**4.\nAnswer: -4*h*(h - 11)*(7*h + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 9. Do -1 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42426 is divided by 2357.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 2:35 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10)\/(-30) - (-508)\/6)*-2. Does -170 = t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 0.08 (c) -3 (d) -1 (e) 0.2 (f) -3564\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1215 and 6735.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2 + 19*o + 25. Calculate p(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95034, 95003, 94960, 94911, 94862, 94819, 94788, 94775?\nAnswer: 94786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.173843371205 and -3.\nAnswer: -3.173843371205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 998 and 10744468?\nAnswer: 998","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of g**7\/42 - 7*g**6\/10 + 4*g**5\/5 + 7*g**4 - 40*g**3\/3 - 313*g - 2. Let n(c) = 0. What is c?\nAnswer: -2, 0, 1, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-6))\/(10\/(-4))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -c*i**2*o - 29*c*i*o + 15*c*i + 5*i**2*o + 173*i*o wrt c.\nAnswer: -i**2*o - 29*i*o + 15*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5393*z**4 + 47*z**2 - 124*z**2 - 3705 - 5352*z**4 wrt z.\nAnswer: 164*z**3 - 154*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/16 of a gram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 29*i**3 - 319*i**2 + 64*i - 694. Determine g(11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24643 and 335160.\nAnswer: 434702520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*w**2 + 431*w + 381*w - 812*w - 74 to the form i*w + t + b*w**2 and give b.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 4*z**2 - 4. Suppose 0*p - 5*f + 16 = 3*p, 52 = 5*p + 2*f. Let a(j) = -840*j + 8 + 840*j - 5 + j**2 - 2*j**2 - 2. Determine p*a(g) + 3*o(g).\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 39*k**3 + 3*k**2 - 51*k - 24. Let w(x) = 13*x**3 + x**2 - 17*x - 9. Determine -3*n(i) + 8*w(i).\nAnswer: -13*i**3 - i**2 + 17*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.166+-235107\nAnswer: -235107.166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -7*l. Suppose 1642 = 33*a + 1444. Let x(i) be the third derivative of a*i**2 + 0*i**3 - 1\/60*i**5 + 0*i + 0*i**4 + 0. What is x(v(f))?\nAnswer: -49*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -1, -62\/9, 1\/2?\nAnswer: -62\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36255352 is divided by 81.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 589.4438 + -593.308249. Let p = -3.866 - t. Round p to four decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3336 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63 + -59. What is the third derivative of -i**2 + 7*i**4 - i**2 - k*i**5 + 8*i - 8*i**2 + 2*i**2 + 3*i**2 wrt i?\nAnswer: -240*i**2 + 168*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17.5 - 25. Let z = -7.5 - w. Put z, -0.05, 0.5 in increasing order.\nAnswer: -0.05, z, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21032121 + -40?\nAnswer: 21032031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1441941, -5767777, -12977505, -23071125, -36048637, -51910041, -70655337?\nAnswer: -92284525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 4*a**2 + 2*a + 6. Let s be d(-4). Let i(o) = -3*o + 2. Determine i(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 767438 a multiple of 287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -278, -437, -692, -1037, -1466, -1973, -2552?\n\"Answer: a**3 - 54*a**2 - 4*a - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22090 - 22089. Sort 5, 4, -56, i, -22 in descending order.\nAnswer: 5, 4, i, -22, -56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of j**5\/15 + 11*j**2. Let d(r) = 11*r. Calculate q(d(c)).\nAnswer: 484*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -1. Let l = 3 - m. Suppose -5*q - 1 + q**l + 2*q - 3*q**2 + 6*q = 0. What is q?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(45))\/sqrt(9) + sqrt(5))*3.\nAnswer: 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o. Let z(r) = -7681*r**2. Give z(i(h)).\nAnswer: -7681*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -162*s**3 - 143*s**2 + 50*s**3 - 103*s**2 + 49*s**3 + 56*s**3 as w*s**2 + d*s**3 + h + y*s and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -30562934 - -8795971?\nAnswer: -21766963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35 and 50?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000035951 to 7 dps.\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 141*f**6 + 69*f**4 - f**3 + 22937*f**2?\nAnswer: 16920*f**3 + 1656*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5768, -11537, -17306, -23075, -28844?\n\"Answer: -5769*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -747.58 - 3588549.\nAnswer: -3589296.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*w = -47*w - 525 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -585 + 984. Calculate the greatest common factor of q and 171.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 28f + -6?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 12. Let s = r + 8. Suppose -6*j = -j - s. Sort j, -4, -1.\nAnswer: -4, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 - (-7 + -11) - (1 - 5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 8*h**3 + 10973*h**2 - 4118*h - 2769. What is c(-1372)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 i when two letters picked without replacement from cciclci.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1098 is divided by 393.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 2728?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 167*n = 171*n + 13, n = -2*c - 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9091149423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 15 - 31. Let a(d) = -d**3 + 9*d**2 + 13. What are the prime factors of a(y)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1480*l - 1478*l - 5*w = -52, -10*w + 8*w + 28 = l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of q**7\/1470 - q**6\/280 - q**2 + 6. Let m(u) be the second derivative of j(u). Factor m(d).\nAnswer: d**3*(d - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 divided by 351301?\nAnswer: 130\/351301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -403 - 4?\nAnswer: -407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -4.24 (c) -6034.7 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -10*s + 2. Let x(l) = 3*l. What is x(w(v))?\nAnswer: -30*v + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 4*t - 36, 2*k - 8 = 7*k + 3*t for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 478023.\nAnswer: 3, 7, 13, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6 - -3 - (-1 - 3). Suppose 2*v - 5*c - 34 = -h, -3*v + c = -69. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f - 6. Let u(x) = 5*x - 12. Let o(l) = -7*t(l) + 3*u(l). Let i be o(-4). Suppose -i*q + 14 = 4. Solve -8 = -q*h + h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 2:16 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17861 to the power of 1\/2, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -b**6\/24 - 19*b**5\/120 - 41*b**4\/24 - 30*b**2. Let t(a) be the second derivative of z(a). Differentiate t(w) wrt w.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10511 + 34?\nAnswer: -10455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 132814 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/2894194 and -41\/114.\nAnswer: 8682582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 177 = 2*b + 157, k = 4*b - 10. Calculate the least common multiple of 164 and b.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a, 5*s + 29 = 5*a + 84. What is the least common multiple of s and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-33 + 28)*(-3)\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 554.0838 kilograms to nanograms.\nAnswer: 554083800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -5*t + 66 + 104, 0 = 3*t - 3*m - 132. Calculate the remainder when t is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -66 + 75. Let g(y) = -4*y + 38. Let p be g(h). Find the second derivative of 4*j + 24*j**3 - 4 + p + 3 wrt j.\nAnswer: 144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*n**2 - 16*n**2 + 16*n**4 - 14*n**2 wrt n.\nAnswer: 384*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 20 + (-2 - (-14 - -7 - -1))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = h + 9, -4*v + 6*v + 72*h - 68*h = -3*v - 33 - 12 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 1 + (0 - 67). Let n = 118 + x. Calculate the remainder when n is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (-3 + 76)) + 46.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.023636819 rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 24763423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - (sqrt(171) + sqrt(171)*-2))*-3 + 0 + (-1 + 0 + sqrt(171) + sqrt(171))*6)**2 + (-3*(sqrt(171)*-2*-1 + sqrt(171)) + 2)*4.\nAnswer: -324*sqrt(19) + 6200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**4 + 3*w**4 + 5*w**4 + (-w + 4 + 0*w - 5)*(-5*w**3 + 2*w**3 + w**3).\nAnswer: 7*w**4 + 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zzzzzzzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11548 and 948.\nAnswer: 2736876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwtwww. Give prob of sequence tww.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + m = 16. Suppose 0 = i - 5*i + m*f + 15188, -2*i + 7615 = 5*f. What is i rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 0.072333.\nAnswer: 0.216999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-282)\/(-188))\/(-1)*2\/33.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-45)*(-10)\/36*2.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 0*a - a)*(15*a**3 + 4*a**3 - 5*a**3).\nAnswer: 14*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-130)\/1300*2).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (11 - 10)\/(2\/38). Is 18 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 148023763 to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*d + 21*d + 66 = 11*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**5\/11 + 158*b**4\/11 - 4604*b**3\/11 + 59524*b**2\/11 - 322690*b\/11 + 608350\/11 = 0?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5148*v - 10294*v - v**2 + 5154*v + 13. Determine i(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9, 1678, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -14 - 9\/2*o**2 + 5*o. Let y(r) = -28*r + 16. Let f(q) = 16*n(q) - 5*y(q). Let j(t) = -2*t. Give j(f(i)).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r + 1. Let c(z) be the first derivative of z**2 - 2*z - 243. Calculate -6*c(q) - 13*v(q).\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -3\/4, 2\/19, -7, 2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**1)\/g*g**7)**16 assuming g is positive.\nAnswer: g**128","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-11))\/(-10*((-220)\/(-10))\/1210).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 4*t - 12 = -10*j, -4*t + 4 = 3*j. Which is the nearest to -1? (a) 1 (b) 14 (c) j (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5*q**2. Let m(h) = h**2 + 7*h - 4. Let v be m(1). Let n(k) = -1 - 7*k + v*k - 8*k + 4*k. Give b(n(g)).\nAnswer: -245*g**2 - 70*g - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 104839, 209661, 314475, 419281, 524079, 628869, 733651?\n\"Answer: -4*c**2 + 104834*c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 207 and 483?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 6*a - 12. Let r(w) = w**2 - 3*w + 4. Let q be r(a). Suppose -6*k + q = -2*k. Put 3, k, -4 in descending order.\nAnswer: 3, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 12054, 24088, 36122, 48156, 60190, 72224?\n\"Answer: 12034*i + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 150225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 910*o + 200 = 960*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) + sqrt(48)\/sqrt(2)*-4)\/sqrt(8).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(2\/9))\/(a\/(a*a*a*a*a**(3\/4)\/a)))**(-41) assuming a is positive.\nAnswer: a**(-5863\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 789889619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 756 + 345 - 29 = 134*z for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/6468 and 15\/643027.\nAnswer: 7716324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*2*sqrt(243)*1 + ((3 + 0 + sqrt(243) - sqrt(243)) + sqrt(243) - 4*1*sqrt(243)))*3)**2*-3.\nAnswer: -164268 + 7290*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -2, 57 in increasing order.\nAnswer: -2, 1, 3, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 958\/41 + -244081\/10332. Let s = g + 1\/28. Is s greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33447.\nAnswer: 3, 11149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2494848984 to the nearest integer?\nAnswer: 1356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -7\/10*m**5 + 0*m**2 + 14*m - 3\/2*m**4 + 0 + 0*m**3. Find the third derivative of h(r) wrt r.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 2*g**2 - 2*g + 4. Let t be c(-3). Suppose -20 = -m - t. Let q = 6237 - 6230. What is the remainder when m is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3478, 6953, 10418, 13867, 17294?\n\"Answer: -v**3 + v**2 + 3479*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 99 and 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1810, 3624, 5438, 7252, 9066?\nAnswer: 10880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-1))\/((-9)\/(-6)) - (-14)\/(-3).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2741*w**4 - 569*w**2?\nAnswer: -65784*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7686 = -2*d - 2*p, 0 = 5*d + 19*p - 23*p - 19251. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 2:58 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 190*o**3 - 4*o + 3. What is d(1)?\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2449 divided by 2?\nAnswer: -2449\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 93 - 38 - 28 - 10*m. Let r be g(2). Put 5, r, 0 in decreasing order.\nAnswer: r, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 340 is divided by 265.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8344 + 8343.95. What is the closest to -9 in 0.2, g, 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -4*t**2 - 8*t**3 + 0*t - 11\/2*t**4 - 6\/5*t**5 - 73. Determine d, given that o(d) = 0.\nAnswer: -2, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 p, and 2 n when four letters picked without replacement from ppnipnpiinpqnpi.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ujbtv. Give prob of sequence ubj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*j - 13*j**2 - 4*j + 8*j + j**3 + 37*j**2 to the form d*j**3 + c*j**2 + y*j + m and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126 and 178769682.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1298 + -0.0298. Which is smaller: n or 39?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -552, -1099, -1646, -2193, -2740?\nAnswer: -3287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 8*i**2 - 11*i - 8. Calculate m(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 17*y**2 - y. Let q be c(-1). Suppose -25 = -5*k, 911*k - 169 = -3*s + 906*k. Calculate the greatest common factor of q and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 9:04 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(1700) - (sqrt(1700) + -5)))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cog when three letters picked without replacement from {c: 4, o: 2, g: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -7*c**2. Let o(s) = -37*s - 37*s + 126*s - 37*s - 33*s. Calculate w(o(r)).\nAnswer: -2268*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 4*m - 6, 3*a - 4 = -m - 2. Put a, 0, 7 in decreasing order.\nAnswer: 7, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-360)\/(-243))\/(-20)*(-2)\/(-2)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 2. Suppose 2 = -2*i + 4. Is r - i - (-4 + 2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -10*f + 2. Let j be s(-5). Suppose 4*x - 247 - 91 = 2*o, -3*o - 92 = -x. Suppose -5*m + x = -j. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.536417 to 3 decimal places.\nAnswer: -0.536","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 1:59 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.09569 and 57356586.\nAnswer: 57356587.09569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 175*q**2. Let i(w) be the third derivative of w**4\/24 + 6*w**2 - 10. Calculate i(y(f)).\nAnswer: 175*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2434, -9096, -19980, -35080, -54390, -77904, -105616, -137520?\n\"Answer: g**3 - 2117*g**2 - 318*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(972) + 1*-3*sqrt(972) + sqrt(972))\/((sqrt(48) + sqrt(1200))\/sqrt(12) - sqrt(100)*1))**2.\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 294546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 166 + 157 = -5*x, 2*v = 4*x + 318. Is v a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*h - 236476 + 783902. Let n = h - 35395. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 + (-4)\/2)\/(96\/240). Let y(u) be the first derivative of 3 - 2*u**2 - u + 1\/3*u**3. Determine y(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/((-252)\/(-428)))\/((-96)\/(-1296))*(-6)\/9?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (42\/(-12) - -1)*(-2 - -8). Let q be (2*w\/10)\/(-15). Sort 3, -0.6, 2, q in decreasing order.\nAnswer: 3, 2, q, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3058 and 0.2.\nAnswer: -0.1058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -975.563 + 976. Let h = -0.4369741 + i. What is h rounded to six dps?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 86984 and 260952.\nAnswer: 260952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -154.3 + 153.8668. Let r = -0.0662 - v. What is r rounded to two dps?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-26) + (-15)\/13. Let z be i + 5 - (-28)\/(-7). Solve z*h + 15 = 3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i = -20*i + 25*i. Let z(n) be the second derivative of 0*n**2 + 1\/6*n**3 + n + i. Let r(g) = 11*g**2. Determine r(z(v)).\nAnswer: 11*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/18)\/((-11)\/(66\/(-16)))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.4? (a) -0.3 (b) 7 (c) -285\/2 (d) 2\/7 (e) -0.67\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20507 + -20428. Solve -2*q = b*q + 162 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9c7 (base 15) to base 2.\nAnswer: 100010100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132060 (base 7) to base 12.\nAnswer: 12396","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 190394984 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/15 (b) -5 (c) 8 (d) -1\/4555\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -560 - -581. Let t be ((-4)\/(-8))\/(d\/18 - 1). Solve 0 = v + t for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 0.1 (c) 13 (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -8*q**2. Let u(k) = 7*k**2 - 5*k. Let m(h) = 4*h**2 - 3*h. Let g(y) = -5*m(y) + 3*u(y). Calculate g(a(c)).\nAnswer: 64*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v**2 + 5*v**2 - 3*v**2)*(-2*v - v**2 + 2*v + (v - 2*v + 3*v)*(-v + 3*v + 0*v)) + (-15*v**2 + 46 - 46)*(4*v**2 - 3*v + 3*v).\nAnswer: -36*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h + 18. Let n be u(4). Suppose 2*q - w - n = 4, 5*w = 3*q - 35. Let k(p) = 21*p + q + 28*p - 45*p. What is k(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -44\/653 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 3 = 2*a + c, -28 = 13*c + 37 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 63 = -2*m, m - 24 = -6*p + 7*p. What is the greatest common divisor of m and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/225 - (-4)\/10\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d = 13*d + 231. Calculate the highest common divisor of d and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 19126 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -38 + -1?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15413.83756 + 15414. Round h to 2 decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 25. Let y be 10*5\/(x + 12). Suppose -5*v + 15 = -y*s, -5*s + 3*v - 5 - 10 = 0. Which is smaller: s or -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43721.3*0.4\nAnswer: -17488.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 126223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2708 and 502334?\nAnswer: 1354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 233, 502, 797, 1130, 1513, 1958, 2477, 3082?\n\"Answer: 2*r**3 + r**2 + 252*r - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -4*p**5\/5 + 36*p**4 - 1432*p**3\/3 + 1224*p**2 - 1156*p + 322. Let q(f) = 0. What is f?\nAnswer: 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.8602807ug?\nAnswer: 0.0000000000008602807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 490 a factor of 586585860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2752, 3236, 3720, 4204, 4688, 5172?\nAnswer: 5656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/4 + (-63)\/(-4). Suppose -g = -4*t - 0. Is t a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from yfyffffddfffdfffff?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 24583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-24)*(-5 + (-424)\/(-88)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -g**6\/120 + g**5\/15 + g**4\/2 + g**3\/3 + 61*g**2. Let y be t(6). Solve 2 = y*n - 4*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -x**4\/8 + 22*x**2. Let z(g) = 7*g**2 - 7*g**2 + 2*g**2. What is o(z(n))?\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/1303468 and 113\/483820?\nAnswer: 110794780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 66 - 50. Let c = 6234 + t. Round c to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 48 = 2*p. Let d(h) = 92*h + 26. List the prime factors of d(p).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.2, -14, -0.4, 3 in increasing order.\nAnswer: -14, -1.2, -0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 606, 2433, 5470, 9711, 15150?\n\"Answer: -z**3 + 611*z**2 + z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33220 = -4*h + 4*z, 56*z = -3*h + 51*z + 24891. What is h rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 + -20. Let a be t*(4 + -3) + 1. Suppose 2642 = 112*h - 9*h - 9718. Calculate the highest common factor of a and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -0.62, -4?\nAnswer: -0.62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, -44, 40, -4 in descending order.\nAnswer: 40, -4, -36, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15812740 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1506 - -1493) + -19 + 1?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67313\/9 + 7479. Which is the second biggest value? (a) 19 (b) 43 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 839659?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02679625878 to five decimal places.\nAnswer: 0.0268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -l**3\/2 + 25*l. Let n(v) = 2*v**2. Determine u(n(j)).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 + 54 + 93)*(-53 - 19 + 1)*(3 - 2 + 4*f - 2*f).\nAnswer: -16046*f - 8023","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.783 + -1837.\nAnswer: -1840.783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-64)\/(-6))\/((-16)\/(-6) - 2). Let p be ((-18)\/(-12) + -6)*k\/(-6). Find the second derivative of 6*j**4 - 33*j**4 + 11*j + 18*j**4 + p*j wrt j.\nAnswer: -108*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1057.8 and 0.096?\nAnswer: -101.5488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -123?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2. Let c(m) = 12*m - 222*m**2 + 10*m - 29*m + 7*m. What is c(p(n))?\nAnswer: -222*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 5 = t, -29*t = -s - 46*t + 18*t + 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -39, 14, -3\/8, 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -124\/1107 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 60*k**4 - 195 + k**3 + 10 - k**3 - 135 + 2*k**2 wrt k.\nAnswer: 240*k**3 + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**3 - 640*n**2 + 1907*n + 2548 = 0.\nAnswer: -1, 4, 637","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1315080903 and 303.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i**4 - 2*i**3 + i**2 - 40*i?\nAnswer: -48*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 2.81?\nAnswer: -14.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 3783651?\nAnswer: 4\/3783651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4702452*o - 6250936 wrt o.\nAnswer: 4702452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-7)\/(-2))\/((-6)\/(-12)). Is (5\/2)\/(y\/14) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 396.171 + -396. Let w = -2.829 - x. Let y = 0.04 - 2.04. Which is the closest to 1\/4? (a) y (b) w (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11925301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17075 - 614791\/36. Calculate the common denominator of (-12*14\/63)\/(-4) and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.043 rounded to 1 decimal place?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bx when two letters picked without replacement from {j: 1, b: 2, x: 7, s: 2, h: 1, v: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-204)\/2*(60\/18)\/(15\/6). Let u = -7 - -11. What is the smallest value in 5, u, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**2 + 8*q**2 + 717 - 15*q - 9*q**2.\nAnswer: 3*q**2 - 15*q + 717","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 1\/6*u**3 - 7*u - 13 + 0*u**2. Let y(f) be the first derivative of o(f). Let g(m) = 16*m. Calculate y(g(l)).\nAnswer: 16*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.413 to 1 decimal place.\nAnswer: -6.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w**2 - 1110 - 1153 + 2263 + 39*w**2.\nAnswer: 44*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -6. Let z be 1*(-2)\/w*0. Solve j - 3*j + 8 = z for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-20)\/(-80))\/((-2)\/(-16)). Suppose 26 = 3*u + a*u - 2*g, -4*g - 12 = 0. Solve -u = 7*h - 5*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223*a**3 + 204*a**3 + 223*a**3 - 873*a**3 + 218*a**3.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 6*g. Let m(r) = 13*r. Let q(o) = 14*h(o) - 6*m(o). Let v(b) = 7*b + 10. Let c(s) = s + 2. Let p(u) = 5*c(u) - v(u). What is q(p(w))?\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 918 a factor of 312946200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (216\/135)\/(8\/(-50)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13752, 13803, 13854, 13905, 13956, 14007?\nAnswer: 14058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7852751, 1 in decreasing order.\nAnswer: 3, 1, -7852751","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v - 557*v**3 + 4*v**2 + 556*v**3 + 5 + 2*v. Let z be o(5). Suppose z = -2*f + 7*f - 2570. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-2))\/((-2)\/6). Suppose 7 = 19*g - 5*t, -5*t + 65 = g + 12. Sort -1, y, g, 14 in decreasing order.\nAnswer: 14, g, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44 * -0.71\nAnswer: 31.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-56)\/(-6))\/(5804\/(-13059))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 36 = -6*z. Let y be z\/(-4) - (-1)\/(-2). Let k(r) = 2 + 2 - y*r**2 - r**3 + 0. What is k(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 3:56 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.557338cm in kilometers?\nAnswer: 0.00001557338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3*v + 11 + 5, 3*v = 4*z + 4. Let k(l) = -2*l**3 - 4*l**2 - 5*l - 6. Is 21 a factor of k(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.93983 + -0.09?\nAnswer: -8.02983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 6.76\nAnswer: 6.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1312 and 7421.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6*1\/(4\/4). Suppose -5*a = -r + u - 2, -r + 4*a + 3 = 0. Let y(j) = -j - 1. Let b(f) = 3*f**3 - f - 1. Give r*y(g) + b(g).\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 13\/2 (b) -0.1 (c) 2 (d) -2\/39 (e) 4 (f) 0.108\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -80527, -80526, -80525?\n\"Answer: t - 80528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 2\/13, -101670, 0.4 in descending order.\nAnswer: 0.4, 2\/13, -0.4, -101670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -7. Suppose -2*t - 2 = 11*i - 16*i, 6*i = 5*t - 8. Which is the closest to 0? (a) -2 (b) t (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f**2 + 5*f**2 - 3*f**2)*(119 - 238 + 122 - 7*f) in the form c*f + u*f**3 + r*f**2 + b and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(-23*d**2 + 23*d**2 - 6*d**3) - 2*d**3 + 3*d**3 + d**3.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a. Let l(s) be the third derivative of 261*s**5\/4 + 5901*s**2. Give y(l(j)).\nAnswer: -7830*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*(-6)\/72*8\/(-3). What is the closest to 3\/11 in l, 3, -0.2, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**3)\/n)\/n**(-5\/2)*(n**(-2))**(-13))**(-3\/5) assuming n is positive.\nAnswer: n**(-153\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 3506544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101927?\nAnswer: 7, 14561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 779 - 3892\/5. Let d = -2 - -2. What is the closest to 4 in 1\/4, d, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3\/49 + -89\/147. Let i = 0.7 - 0.5. Let d = -0.04 - -0.14. What is the nearest to d in o, i, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1506 = 21*o - 1443 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11855, 11684, 11399, 11000, 10487, 9860?\n\"Answer: -57*j**2 + 11912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1418358 to the power of 1\/3, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11090 and 22180.\nAnswer: 22180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -13, -32, -59, -94, -137, -188?\nAnswer: -247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 261127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6.11 in 3\/5, -5, 8, -3\/406?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(17) - sqrt(1088))*-4 - sqrt(17))*2 + sqrt(187)\/(sqrt(1617)\/sqrt(3)) + 3)**2.\nAnswer: 2274*sqrt(17)\/7 + 2442338\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 4) + 13 + -7.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 4\/5*5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 16) in base 3?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 11:34 PM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 4*s**2 - 12*s + 4. Let l be q(6). Suppose -3*m + 28 = -5*f, -2*m + 24 = 2*m - l*f. Solve 0*i + 4*i + 14 = -5*t, -t - m = -i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 5 - -2 - (-1 + 6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(245) - (1 + sqrt(245))**2*3) + 2)*2.\nAnswer: 420*sqrt(5) + 8832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.07 - 0.07. Let f = 2.986 - -0.014. Let u = -1 - 2. Which is the nearest to l? (a) f (b) -2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5597 is divided by 1045?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000006405 to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**4 - 5*k**3 + 30*k**2.\nAnswer: -5*k**2*(k - 2)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(40\/5))\/5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 122 (base 8) to base 5\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56 + 59. Solve 2*c = p*j + 19, -4*j + j + 6 = 3*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3944538 * -1\nAnswer: -3944538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -340*u - 1248*u**2 + 340*u - 3092*u**2 to y*u**2 + w + d*u and give y.\nAnswer: -4340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -2*d + 0*d**2 - 1\/4*d**4 + 0 + 0*d**3 - 1\/10*d**5. Find the third derivative of j(r) wrt r.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 67730738?\nAnswer: 474115166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -153, 2, 0.4, -5, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-2) + 21*144\/448. Which is the third smallest value? (a) 1 (b) h (c) 3\/13 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-325)\/39 + 7)*-6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121, -244, -367, -490?\nAnswer: -613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -232 - -347. Calculate the remainder when y is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -3. Suppose -3*i - 3*i = -5*i. Sort i, t, -5 in decreasing order.\nAnswer: i, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44457.6 rounded to the nearest one thousand?\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.2 - -9. What is the third biggest value in i, 2, 1\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/51, 1, -5, 0.2, 0.04?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 906569411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1340*o**2 + 2637*o**2 - 2 + 2 - 1473*o**2.\nAnswer: 2504*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/3 + 415*a\/3 - 7900\/3.\nAnswer: -(a - 395)*(a - 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.9 - 4.9. Let k be (-429)\/5 - (-27)\/(-135) - -2. Let o be (-13)\/12 + (-35)\/k*2. Which is the closest to o? (a) 0.3 (b) q (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1041.343384 + 1.4?\nAnswer: 1042.743384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 478654 a multiple of 295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 95.80639 kilograms?\nAnswer: 95806.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -14 (b) -4 (c) 2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -10. Suppose 0*z + 3*n = 4*z + 20, 3*z + 15 = -5*n. Put z, 3, l in descending order.\nAnswer: 3, l, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 138 and -7.167?\nAnswer: -989.046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11199*j**3 - 16010*j**2?\nAnswer: -67194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5651480?\nAnswer: 2, 5, 17, 8311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 8 - -11 - (-2 + 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 83 + -83.0000539. Round w to six decimal places.\nAnswer: -0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (133\/(-114))\/(3\/(-36)). Suppose -3*r + 183 = -153. What is the highest common divisor of y and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23860098 divided by 554886.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 2:08 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n**3 - 4*n**2 + 36*n. Calculate s(-5).\nAnswer: -655","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 9*j - 3. Let p(l) = l + 1. Let k be p(4). Suppose 0 = 5*t - 0*a - 5*a - 225, -119 = -3*t - k*a. What is the remainder when t is divided by c(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h - 499*h**2 + 5*h - 26097 + 26099 - 143*h**2 to o + z*h + a*h**2 and give a.\nAnswer: -642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 15*b**2 - 286*b + 52. What are the prime factors of g(23)?\nAnswer: 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p**2 - p + 5. Let b(l) = -59*l + 4 - 2*l**2 + 58*l + 4*l**2. Let c be (0 - -3)\/(1\/1). Determine c*q(i) - 4*b(i).\nAnswer: i**2 + i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 - ((35 - 52) + -28).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 0.5. What is the biggest value in n, -5, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1315\/2 + -671. Let p be ((-4)\/64)\/(10\/1239288). Let k = -7743 - p. Calculate the common denominator of k and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1616.52 to the nearest 10.\nAnswer: -1620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4530, 6051, 7572?\n\"Answer: 1521*a + 3009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -85, -163, -239, -313, -385, -455?\n\"Answer: v**2 - 81*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 4*t + t)*((-2*t**2 - 4*t**2 + 4*t**2)*(-54*t + 5*t - 9*t)*(5*t + t - 5*t) + (t**2 + 2 - 2)*(-1 + 2*t**2 + 1) + 2*t**4 + 3*t**4 - 6*t**4).\nAnswer: 117*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 69744737 to the power of 1\/3, to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k**3 + k**2 + 2*k - 4. Give m(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-95)\/(-30) + (-1)\/6. Let k be -1*v - 910\/(-310). Which is the nearest to k? (a) 4\/5 (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, -0.3, 3.4, 45, 3\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 + 443*x - 4. Let k(z) = z**2 + 435*z - 3. What is 3*i(h) - 4*k(h)?\nAnswer: 2*h**2 - 411*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y - 146 = 449. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + f**4 - 2 + (0 + 0 - 2*f)*(-2*f + 9*f + 5*f)*(0*f**2 + 4*f**2 - 3*f**2) as v*f**3 + g*f**2 + k*f**4 + n*f + h and give k.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 6*f**3 - 3*f - 36. Let j(g) = 5*g**3 - 2*g - 37. What is -2*a(x) + 3*j(x)?\nAnswer: 3*x**3 - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4863264 rounded to 3 dps?\nAnswer: -0.486","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -86, 2, 1, -3 in decreasing order.\nAnswer: 2, 1, -3, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*a + 5. Suppose -4*y = 2*u - u - 23, -a = -y. Suppose -j - 71 = -5*t + 2*j, 3*t - u*j - 45 = 0. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -689736 = -2258*u + 2200*u. What are the prime factors of u?\nAnswer: 2, 3, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221482971?\nAnswer: 3, 8203073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 + -2.7. Let f = 0.3 + x. What is the second biggest value in 9, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51643?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -20644036\/3 bigger than -6881344?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -34*b + 1. Determine a(1).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 241, 277, 375, 565, 877?\nAnswer: 1341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -58, 305, 2?\nAnswer: 305","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 2*u + 2 = 4, 0 = -5*i + 4*u + 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 8*y + 404. What is the remainder when c(-35) is divided by 37?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lfmkltn. Give prob of sequence nl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 11001.\nAnswer: 2\/11001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -1077682*c + 1077682*c - 10270*c**2 as a + k*c + l*c**2 and give l.\nAnswer: -10270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vsaspssa. What is prob of picking 1 p and 2 v?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9401382 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21 or -163?\nAnswer: -163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 3*y**2 + 2*y - 3. Suppose -q = 5*c - 12 + 1, 0 = 5*c - 5*q - 35. Let n be a(c). What is the highest common divisor of 27 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000393053097 to seven dps.\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 410 = 8*i. Calculate the remainder when i is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1489*n*w**2 - 1234*w**2 wrt n.\nAnswer: 1489*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (9\/12)\/((-1)\/4) - (-232 - -248)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 4*k - 15, -k + 5*r - 6*r + 6 = 0. Solve a - 5 = -5*p - 0*a, k*a = 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2.3 (b) 5 (c) -4\/169\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13342 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-66)\/(-9) + (0 - 2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5*(1 + 1 + -1). Suppose l + 2*l - 3*r = -30, 5*l = -4*r - 14. Let x be 2\/l + (-7)\/6. What is the nearest to -2\/7 in x, -2\/7, p?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(1088)*1 + 0 - (sqrt(1088) - 3*(sqrt(1088) + -1)) - 2*(1 + -3*(sqrt(1088) + sqrt(1088)*-1)))**2 + 4.\nAnswer: -240*sqrt(17) + 9824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*z**2 + 41*z**2 + 52*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9 - 7) + (1 - -1). Solve m*a = 5*f - 18, 3*a + 4*f - 4 = -f for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 8225*g + 1. Let z(s) = -45*s. What is z(c(f))?\nAnswer: -370125*f - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, i: 3}. Give prob of sequence ir.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 s when three letters picked without replacement from zqsnjjszzsuzzj.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -330 + 359. Suppose -5*a - 35 = -x, z*x + 48 = 31*x + a. Solve 0 = -5*d + x for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 617, 4800, 16101, 38078, 74289, 128292, 203645?\nAnswer: 303906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1519*n*o**2 - n*x**2 - 8*o**2*x**2 + 297*o**2 with respect to n.\nAnswer: -1519*o**2 - x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/4975 and -38\/4975.\nAnswer: 4975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -173\/4 and -42 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 571 + 510 - c - 1081.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 135 + -1756\/13. Let h(i) = -i + 14. Let o(q) = -13*q. Let d be o(-1). Let s be h(d). Which is greater: s or a?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.082 * 19.\nAnswer: 153.558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 + -1.3. Let x = 1 + n. Let h = 0.3 + x. Which is the biggest value? (a) 0.5 (b) h (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 247.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -811199 and -811191 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 6*z**3 - 59*z**2 + 135*z + 5. Determine x(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -476*f + 8. Suppose 3*c - 8 = -g, -5*g + c + 2 = -3*g. Let z be j(g). Let t = 3277 + z. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(-6 - (0 - -1)). Suppose 0 = -165*o + 161*o - 36. Let c be o\/(3\/1) - b. Solve 0 = -c*a + 5 + 7 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*c + 4*c - c**2)*(-20 - 19 - 30)*((-1 - 1 + 3)*(2*c + 0*c + 0*c) + 3*c - 6 + 6) as g*c + v*c**2 + s*c**3 + r and give s.\nAnswer: 345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - a = -9, 0 = 5*h - 5*a + 1505. Let x = h - -473. Suppose r + x = 6*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -9*i**2 + 44*i - 44. Let l(b) = 9*b - 29 - 2*b + 22*b + 12*b**2 - 18*b**2. Let f(z) = 8*l(z) - 5*r(z). Factor f(n).\nAnswer: -3*(n - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 5*d - 25. Suppose -5*s + 3*z - 43 = 6*z, z + 33 = -4*s. Let c be y(s). Let i = 3125\/14714 - -2\/1051. Is c at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27 in 19, -5, -0.2, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*i = 8. Suppose -l = 0, z - 78 = -i*z - 4*l. Let p = 51 - z. Is 4 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 7. Suppose -56 = -h*b - 0*b. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -8*k**2 - 440*k + 505. Calculate i(-56).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of 33*w**5\/20 + 5*w**4\/12 - 7*w**3\/6 + 11*w**2\/2 - 2*w - 13. List the prime factors of l(2).\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(84)*2)\/sqrt(12).\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1485792629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -20203021 (base 5) to base 16\nAnswer: -27c46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -82368 times 3\nAnswer: -247104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u. Suppose 4*v + 5*q + 7 = -0, -3*v = -2*q + 11. Let n(f) = -f. What is v*j(g) - 12*n(g)?\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 722658*a**3 - 32 + 32 - a + a - 722668*a**3.\nAnswer: -10*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(324\/(-6579)) + (-2)\/(-8). Suppose 0 = 177*a - k*a. Sort 1, 178, a in increasing order.\nAnswer: a, 1, 178","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 243*a**2*f**3 + 4*a*f**3 + a*i + 134*f**3*i - 2*f*i wrt a.\nAnswer: 486*a*f**3 + 4*f**3 + i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 428976.8um to centimeters.\nAnswer: 42.89768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w + 2. Let n be g(0). Suppose 0 = -3*j + n*l + 11 - 4, 4*l = 3*j + 1. Let m be j + 1*(-3 - -2). Solve 8 + m = 4*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3 + 6 = 0. What is the remainder when 53 is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.048 + -2364871.69.\nAnswer: -2364871.642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 209 * 0.01.\nAnswer: 2.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o. Let l(m) be the third derivative of m**6\/360 - m**3\/3 - m**2. Let s(i) be the first derivative of l(i). Determine x(s(h)).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1+-8651\nAnswer: -8650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6540 rounded to the nearest 100?\nAnswer: -6500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dzzqdzdqzzq. Give prob of picking 1 q and 1 z.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o - 855 = 4*o. Calculate the remainder when o is divided by 51.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 2, 1, 3\/4, -2\/13 in ascending order.\nAnswer: -2\/13, 1\/2, 3\/4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/12 and (-6)\/2 + 102\/(-32).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 10:15 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - -7. Suppose i + t = 5*i. Let l(d) = 4*d**2 - 3*d + 3. Let v(a) = -9*a**2 + 7*a - 7. Give i*v(j) + 7*l(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2010*j + 14. What is b(0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 51211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -2\/9 (c) 2\/11 (d) 3.65 (e) -0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4.768 from -54492521.\nAnswer: -54492525.768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 9*w**2 + 43*w - 28. Let s be c(12). Suppose i - 93 = -2*g, 53*i - 4*g = s*i - 285. What is the smallest common multiple of i and 36?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and -2079317.7817719.\nAnswer: -2079321.7817719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 85 + 4 = 4*h, -121 = -5*h - 2*c. Calculate the remainder when (-6)\/21 + (-478)\/(-7) is divided by h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -21*g + 16*g. Solve 6 = g*j - 4*a + a, 5*j = a + 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1932\/18*(-72)\/(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 25, 4, -619.\nAnswer: -619, 2, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00019013 to 5 decimal places.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208379 is divided by 409?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**4\/2 + 6483*n**3\/2 + 3486177*n**2\/2 - 17593335*n\/2.\nAnswer: 3*n*(n - 5)*(n + 1083)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -p**6\/6 + 4*p**5\/5 + 3*p**4 + 2*p**3\/3 - 11*p**2\/2 - 6*p + 423. Factor g(u).\nAnswer: -(u - 6)*(u - 1)*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71541274867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6832 + -1?\nAnswer: -6833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 110 - 49. List the prime factors of n.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -30, -3, 42, 23 in ascending order.\nAnswer: -30, -3, 1, 23, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -461 take away 1.75?\nAnswer: -462.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -213*v**2 + 268*v - 268*v to l + a*v + s*v**2 and give s.\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**3 + 5*k**3 + 22*k**3)*(3*k - 2*k + k)*(-k + 2*k - 3*k).\nAnswer: -96*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**2 + 5*w - 32*w**4 - 2*w**3 + 4*w**3 + 34*w**4 as s*w + u + n*w**4 + k*w**2 + v*w**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n**3*t**2 - 335753*n**3*t - 8*n**2*t + 474431600*n*t**2 - 47*t wrt t?\nAnswer: 4*n**3 + 948863200*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1000011 (base 2) to base 11\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 15 - 18)*(-1 - 1 + 3)*((-2*b + 1 - 1)*(-1 - 2 + 1) - 3*b + 2*b - 7*b).\nAnswer: 184*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 29*z**4\/4 + 9*z**2\/2 - 1683*z + 2089. Differentiate u(c) wrt c.\nAnswer: 87*c**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 258\/13 - (-12)\/78?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 14 = g. Sort g, -21, 3.\nAnswer: -21, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 8 + -4*9\/12. Solve 0 = j - r*j - 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t**2 - 17*t - 7. Let r(z) = 13*z**2 - 55*z - 21. What is -2*r(g) + 7*w(g)?\nAnswer: 2*g**2 - 9*g - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -881 or 9?\nAnswer: -881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -31013112221 (base 4) in base 13?\nAnswer: -934b20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 4431.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 6964 = p, 5*p = -8 + 28. Suppose -17*g + 27*g = c. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -316034\/45 + 7023. Is -0.122 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -0.2, -2\/43, 35\/6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + 1. Let t(q) = 4*q**2 + 6*q - 1. Calculate -2*g(i) + t(i).\nAnswer: 4*i**2 + 8*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.2763273 to two decimal places.\nAnswer: 20.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 6*p - 1. Solve p = -8*n + 13*n - 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 91.0136891 to the nearest integer.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/((h**(-1\/4)\/h*h)\/h)*h*h)**(5\/16)*(h*h\/h**(1\/2))\/h*(h\/(h**(-1)\/h*h))\/h*(h\/h**(2\/17))\/(h\/h**(-3))*h**(-6)*h**(1\/8)\/h assuming h is positive.\nAnswer: h**(-7455\/1088)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3555 and 69622305.\nAnswer: 1185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 494*q**2 + 353*q**2 - 141*q**2 + 469*q**2 - 143*q**2.\nAnswer: 1032*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 480609?\nAnswer: 3, 53401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 6:53 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p**4 + 0*p**3 + 65 + 2*p**3 - 64 + p**2 to y*p**4 + r + g*p**2 + h*p**3 + t*p and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-27)\/((1 - 2)*1) - 4. Calculate the highest common factor of i and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1698 - 2007. Is -310 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qo when two letters picked without replacement from zcnmqooc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 - 67 - (-6 + -18 + 4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -13051043301?\nAnswer: -13051043300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*w - 0. Suppose -4*z + 4 = -0*z. What is the remainder when w is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33449 + -0.731\nAnswer: -33449.731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -545 + 410. Let a = 134.9919 + m. What is a rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hsy when three letters picked without replacement from hmshqpqys?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2 - 15*x - 7. Let o be m(7). Let u(p) = p + 11. Let z be u(o). Let v be (-60)\/(((-6)\/z)\/(-2)). What is the highest common factor of 24 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 7*a**2 + 3*a - 3. Let x be y(-3). Suppose -5*m = 12*m + x. Let z(q) = -2*q**3 - 3*q**2 + 3*q + 9. What is the units digit of z(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64*((-7)\/(-35))\/(8\/(-10))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22714 at least as big as 16039?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -781583 * 0.114.\nAnswer: -89100.462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h - 3*q + 34, 4*h - 128 + 122 = -2*q for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7234 + -7233. Put 5, 3, g, -3 in descending order.\nAnswer: 5, 3, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1769671089?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3905804 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 238 a factor of 318802935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 10, 4*v + 5*p - 11488 = 2*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**2 - 18*b + 25. Let z(q) = -q**3 - q**2 - 14*q + 20. Determine 4*m(s) - 5*z(s).\nAnswer: 5*s**3 - 3*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -23*d**3 - 1. Let w be f(-1). What is the highest common factor of w and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + 4. Let d(f) = 5*f**2 - 2*f. Let r(g) = -2*g**2 + g. Let v(u) = u**3 - 3*u**2 + 2*u - 2. Let i be v(3). What is i*d(y) + k*r(y)?\nAnswer: 2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(24\/50)*15\/(-50). What is the nearest to 0.1 in l, -4, 7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -1 + a**2 - 4 + 3. Let z be 15\/(-7) + 9\/63. Calculate c(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1780552441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 233*b**2*s**2*t**2 - 1333*b**2*s*t**2 - 3*b**2*s*t + 5*b**2*t**2 + b*t + b - 148199*s**2*t**3 + s*t**3 - s*t wrt s?\nAnswer: 466*b**2*t**2 - 296398*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 46952.66 millilitres in litres?\nAnswer: 46.95266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33136 + -0.2.\nAnswer: -33136.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 13\/8)*(-18 - (-572)\/33)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*l = -649 - 335 for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 460519 is divided by 290?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 60 = 4*j, -3*s + 5*j = -s - 24. Suppose -760 = -5*q - 0*q. Calculate the remainder when q is divided by s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + n. Let r be (20\/6 + n)*3. What is the greatest common divisor of r and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -136, -497, -1092, -1915, -2960?\n\"Answer: l**3 - 123*l**2 + l - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12556877371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cacajcajcaacc. What is prob of picking 1 j and 2 a?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*i**4 + 3*i**4 + 20*i**4 + (-2 + i + 2)*(-1 + i**3 + 1) + 0*i + 10*i**4 + 0*i - 2*i**3.\nAnswer: 46*i**4 - 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 363 - 353. Suppose 2*x - 2 = x. Suppose -x*b + 5 = 3*d - 1, -3*b = 0. Solve 3*r = -d*r + t for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 3 + 1. Let j = 95 + -99. Let g = 823\/11 + -75. Which is the third smallest value? (a) m (b) j (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 260 + -74. Suppose 131 = 3*t + 2*b, -3*t = 4*b + 47 - q. Is 30 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 91963, 105803, 119631, 133441, 147227, 160983, 174703?\n\"Answer: -h**3 + 13847*h + 78117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (294\/36)\/7*-6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/9 + 23180*x\/9 - 23182\/9.\nAnswer: 2*(x - 1)*(x + 11591)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14244 and 75904.\nAnswer: 270294144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 21\/6 - 5\/10. Suppose -h*s = -7779 + 606. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 415026.9ug to milligrams.\nAnswer: 415.0269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -660829, -660834, -660843, -660856?\n\"Answer: -2*x**2 + x - 660828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 9:46 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 152 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*c - 14. Suppose 6*u = c*u. Suppose u = -4*t + 2*t + 20. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3768953487 to the power of 1\/3, to the nearest integer?\nAnswer: 1556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -4304.1031?\nAnswer: 4303.1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 11*i**2 - 6*i - 68. Let c be a(13). What is the greatest common divisor of 108 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7 + -1 + (0 - 1). Suppose 2*z - 6 = -l - 2, 0 = -3*z + m*l + 32. Let q(j) = j**3 - 5*j**2 + 2*j - 3. Give q(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2714 divided by -49\nAnswer: -2714\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 9. Solve p*b = -g + 2*g - 24, 5*b + 4*g + 4 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 716\/(-320) + 2 + (-1)\/(-4). Let s(u) be the second derivative of 1\/24*u**4 + w*u**5 + 0 - 1\/4*u**2 - 4*u - 1\/24*u**3. Factor s(g).\nAnswer: (g - 1)*(g + 1)*(g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 668506 greater than 668504?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -1794*y. Let r(z) = 2*z**2. What is r(f(d))?\nAnswer: 6436872*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17*f**2*h + 2619*f**2 - 25*f*h + 2*f + 1 wrt h.\nAnswer: -17*f**2 - 25*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1038329, -1 in decreasing order.\nAnswer: 1038329, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n + 0*n + 2 + 0*n. Suppose 0 = -3*w - 2*w. Let t = -4 + w. Give u(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d + 2 + 0 - 3 - 2. Let x(o) = -5*o + 4. Let u(p) = 3*x(p) + 4*y(p). Let n(z) = -z. Determine u(n(l)).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8707 + -4910. List the prime factors of f.\nAnswer: 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35491*y**3 + 16755 with respect to y.\nAnswer: 106473*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -912, 31?\nAnswer: -912","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 5*c**2. Let f(m) = -65*m**2 + 35*m - 110. Let b(a) = -11*a**2 + 6*a - 19. Let l(k) = -35*b(k) + 6*f(k). Give d(l(n)).\nAnswer: 125*n**4 - 250*n**2 + 125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/2*((-1 - -6) + 1137\/(-225)). Let c = 72 + -68. What is the biggest value in c, -0.1, 5, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 545, 8, -102, -1, 2, -2 in descending order.\nAnswer: 545, 8, 2, -1, -2, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 35*u - 19. Let t be m(3). Suppose -3*l = -3*x - 8*l + t, 4*x - 72 = 4*l. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/214 and (2\/(-20))\/((-7)\/574).\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -12*i + 9. Let n(o) = -8*o + 6. Determine -5*a(p) + 8*n(p).\nAnswer: -4*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -3*l - 12, 175 = 4*a + 211 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07704675438 - 5?\nAnswer: -4.92295324562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 8*l + 22. Let s be d(-10). Let g be 1\/1*((1 - 0) + s). Solve 3 = g*v - 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -112 + 113. Let u = -10 + 6. Which is the closest to 0? (a) u (b) 1\/3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/17 != 2\/129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -27.1, 0.3, -4\/5, 0.4, 3 in ascending order.\nAnswer: -27.1, -4\/5, 0.3, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.6 or -0.1216?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5257002?\nAnswer: 2, 3, 223, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88 - (28 + -43 - 33 - -42).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - -1. Let j = c - 11. Let h = 8 - 8.3. What is the biggest value in j, h, 0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/240 and -3\/8.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - -6 - (-2 + -16) - 3. Suppose 4*l - z = -2. Suppose 0 = -l*u + 5*n + 136, -4*u = -u + 3*n - 129. List the prime factors of u.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7\/(-3))\/((-508)\/(-4191)) + 1\/4. Let l(h) = -h**3 - 19*h**2 + 2*h + 33. Give l(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2. Let u(h) = -835755496*h. What is t(u(l))?\nAnswer: -698487249094206016*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -15. Calculate the remainder when 23 is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 5*l - 20. Let i be u(-8). Suppose 3*a = 3*k - 9, i*a + 16 = 2*k + 6. Put k, 2, 4, 7 in descending order.\nAnswer: 7, 4, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17884413.\nAnswer: 3, 1987157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1058*q - 532*q - 530*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.299 and -5.87052?\nAnswer: 5.57152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -233*q**2 - 67*q**2 - 127*q**2 - 160*q**2 + 49*q**2.\nAnswer: -538*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -131 + 62 + 68 + 11*n - 3*n**2 - n**2 - 2*n**3. Let g be r(2). Put -1, g, -4 in increasing order.\nAnswer: g, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9119 = 45*q + 17026. Let o = -576 - q. Solve d + o*x = -25 + 2, 1 = d - x for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 19*u - 97 = 0, -14582*k + 14579*k - u = -1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 134*b + 1759. Let f be q(-12). Let i(y) = 2*y**2 - 3*y - 2. Let w be i(-2). Solve 0 = -w*s + f*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 5*o + 45, -2*u - 3*o + 3 - 10 = 0. Suppose -5*a = -4*f - 148 - 307, 115 = a + u*f. What is the remainder when a is divided by 31?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9524.\nAnswer: 2, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yc when two letters picked without replacement from wyccb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1212*w - 2925 + 1770*w + 170 + 3263*w wrt w.\nAnswer: 3821","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*h + 3. Let v(z) = 2*z**2 + 4*z - 1. Let s be v(-3). Solve -s*g + 2*m + h*m = -13, 10 = -5*m for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*n - 51*n - 43*n - 102 = 5*i, 0 = -n + 5*i + 33 for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2464 divided by 308.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 47*y**3 + y**2 - 2*y + 1. What is the units digit of c(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence unw when three letters picked without replacement from {a: 1, g: 2, u: 1, w: 2, v: 1, n: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 28287209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + 1)**2*-1 - (sqrt(720)*-3 + -5).\nAnswer: -716 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214*z + 6512 = 25986. Solve 6*y = 43 - z for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 2*n + 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 1, 3\/8, -33, 0.01, -4.\nAnswer: -33, -17, -4, 0.01, 3\/8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 20*l**2 - 22*l + 56. Let k = -198 - -217. Let c be g(k). Let i be (-46)\/(-14) - (-4)\/(-14). Sort -4, i, c in descending order.\nAnswer: i, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -233594059 and -3.\nAnswer: 700782177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**2. Let d(k) be the first derivative of 4*k**3\/3 - 1. Give d(n(q)).\nAnswer: 16*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y. Let q(s) = -70*s**2. Determine c(q(r)).\nAnswer: -140*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.1 - -3. Let t = 432\/7 + -62. Let v = -3 - -3.4. What is the second biggest value in z, -5, v, t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 2 - 17. Suppose -5*r + 18019 = -3*y, y + 10821 = w*r + 4*y. Suppose -l + 6*l = r. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a tonne in kilograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 1. Suppose -4 = 4*w, 3*v - n*w + w = 43. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 659529 divided by 50733\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 680 is divided by 54?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25805083.\nAnswer: 107, 241169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 85*w**3 - 33*w**2 + 11*w + 24. Determine u(1).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6443 (base 8) in base 13?\nAnswer: 16b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 950 divide 74092400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -476c?\nAnswer: -4772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/sqrt(176)*3 + ((sqrt(280) + (sqrt(280) - sqrt(280)*-1))\/sqrt(8))\/sqrt(5).\nAnswer: 15*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011011111111 - 11111100?\nAnswer: -101011111111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b - 6. Let j = 7 + -14. Let c be u(j). Is -1\/13 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1519189522 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 34505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5663.362 nanograms to grams.\nAnswer: 0.000005663362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**3 - 7*h**2 - 4*h - 3. Let b(x) = 5*x**3 + 20*x**2 + 11*x + 8. What is -3*b(j) - 8*s(j)?\nAnswer: j**3 - 4*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -2 - 0) + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 1. Let z(c) be the first derivative of 9*c**2\/2 - 4*c - 556. Determine 5*r(y) + z(y).\nAnswer: 9*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(4\/9*(-6)\/24). Suppose 0 = -27*y + f*y + 6858. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2982*q - 2905*q + 4*q**4 - q**4 to the form i*q + d*q**4 + w*q**3 + o + k*q**2 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - (-4 + -11 + 2). Solve 0 + 8 = -2*v + 5*r, r + f = -4*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*h, -2*x = 2*x + 3*h - 27. Calculate the least common multiple of x and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 7. Suppose -v + w = -6. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**2\/3 - 62*z\/3 - 308 = 0?\nAnswer: -11, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 60, 5, 10, -2, -4 in increasing order.\nAnswer: -4, -2, 3, 5, 10, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32 - (1 + -1 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2066544813?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 0*x. Suppose -w + g + 3 = x, -5*w + 2*g = -6*w + 18. What is the remainder when 23 is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b2 (base 15) to base 16.\nAnswer: -269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16512 is divided by 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jijjiijgjjijjiigji. Give prob of sequence jgjj.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((-22)\/(-20) + -1). Let s be (-284)\/14 - b\/(-35). Let a = 59 + s. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59\/135 - -1\/27. Which is the closest to w? (a) 3 (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**3 - 7 - a**4 + 44*a**2 + 0 - 43*a**2 in the form p*a**4 + x*a + g + r*a**2 + m*a**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4 + -0.56. Let r = s - -0.16000051. Round r to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 = -2*w + 5*b, 4*w + 2*b - 6*b = 228. Let f = w + -48. Suppose -f*h + 343 = -13. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15461565*i**4 - 8451319 wrt i?\nAnswer: -61846260*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -11. Let v be 2 + c + 2 + 1. Let n = 7 - v. Calculate the remainder when 3 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -x + 5. Calculate the remainder when ((-106)\/(-9))\/((-2370)\/54 + 44) is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0.4 (b) -4 (c) -0.4 (d) 7\/5 (e) -2153\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 5*n + 320. Let v be n\/10 + (36\/(-30) - -2). Suppose x - 5*t - 24 = 0, v*t + 3 = 2*x - 45. Calculate the highest common divisor of x and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 11:43 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + (-22)\/4 + 2568\/321. Factor 1\/2 - l + d*l**2.\nAnswer: (l - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107342681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/25 (b) 2 (c) 0 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-71808)\/138240 + 320\/72 + -4.\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 93, 198, 345?\nAnswer: 534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23\/7 + -73\/14. Let n = -12372\/3179 + -5\/289. Find the common denominator of n and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 4, -1, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333*y - 110 = 355*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-15)*10\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -400195.488 to the nearest one hundred.\nAnswer: -400200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185 = 43*c - 48*c. Suppose 420 = -42*y + c*y. Which is smaller: y or -83?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1069242455874 and -4.\nAnswer: 1069242455870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 1021061?\nAnswer: 1021061","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2.4819, -0.2, 20\/69, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 6*b**3 - b - 1. Let h(j) = j + 1. Give -4*h(f) - 4*p(f).\nAnswer: -24*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.6 - -6. Let k = v + 1. Sort -1, 9, k in descending order.\nAnswer: 9, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**4\/3 - 2884*a**3\/3 + 76128*a**2.\nAnswer: -4*a**2*(a - 72)*(a + 793)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 708, 5397, 18106, 42843, 83616?\nAnswer: 144433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.11219 + 0.31219. What is the nearest to -6 in -1, c, -3, -2\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 l when four letters picked without replacement from llluuus?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 11\/19?\nAnswer: 11\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17964149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7088 is divided by 116?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 171968 to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 - 34 - 2*1\/(-4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((-1*sqrt(304) + 5 - (2 + -1*sqrt(304)))*-6 + -1))**2.\nAnswer: 1444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.031 take away 388?\nAnswer: -387.969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*l - 7*l + 8*c + 20, 15 = -5*c. Solve -5 = -z, l*z - 19 = q - 0*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3123354, -6246709, -9370064?\n\"Answer: -3123355*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 2:07 PM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of b**3\/3 - 4*b**2 + 5. Let a be l(8). Let q be (-3)\/4 + (-63)\/(-52). Which is smaller: q or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a + 3*a - 12 = 0, 0 = 2*h + 4*a - 22 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 568 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -14, -52, -110?\nAnswer: -188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*h = -3*y - 2, -5*h = -2*y - 23. Suppose m = -5*q - 25, -m = -h*q + q - 20. Solve -4*z - 7 = a, m*a = -z - 2*a for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 52. Suppose 3*o = -o - 7*o. Let w be q(o). What is the greatest common factor of 130 and w?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j*u**4*w + j*w + u**5 + 28*u**3*w**2 + 2*u**2 + 2*u*w**2 wrt u?\nAnswer: -24*j*u*w + 60*u**2 + 168*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 13, f: 5}. What is prob of sequence ftf?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70615092 by 793428.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 1*9 + 0. Suppose 77*y + 168*y = 15264 - 1789. Calculate the greatest common divisor of y and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2161281363 a multiple of 404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2 + 3. Let g(h) = -8*h**2 - 64*h - 7. Is 12 a factor of g(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32.299997535 - 32.3. What is o rounded to seven dps?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -102 by -51.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-66)\/(-88))\/(4\/(16\/(-6))). Which is the biggest value? (a) -17 (b) -0.2 (c) -0.3 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36 - -15. Let u = q + 48. Let h = u - 26.5. What is the nearest to 1\/2 in h, 3\/8, 0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0 + 1 + 3 - 5 + (-3 + 2 + 3)*(3 + 1 - 3) - 5 + 0 + 3 + (2 - 4 - 3)*(-2 - 3 + 4))*(-b**2 - 2*b**2 + b**2).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2 - h + 2. Let a(k) = 1093*k**3 - 8744*k**2 + 4372*k - 8744. Calculate a(p) + 4372*y(p).\nAnswer: 1093*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 251019505.\nAnswer: 5, 11, 29, 337, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h**2. Let l(u) = -2426*u. Determine t(l(f)).\nAnswer: 23541904*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-34)\/(-6) - (-2)\/(-3). Let l = i + -9. Let d be (l\/(-2))\/((-10)\/2). Which is the closest to d? (a) -1 (b) 1\/2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/sqrt(600))\/(-1*sqrt(1210)).\nAnswer: -sqrt(3)\/110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/(-6) - 1)*-3. Let q be r\/(((-3)\/(-18))\/(-1)). Let w = 4415 + -4412. Solve 2*y = -5*m - 1, -m = q*y - w*y + 8 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -12*c**3 + 3*c**2 + 7*c + 8. Let h be o(-5). Suppose -20*w = -2*w - h. What are the prime factors of w?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71, 155, 247, 353, 479, 631, 815?\nAnswer: 1037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 3. Let u be (3\/18)\/(21\/(-63)) - -2. Which is the nearest to u? (a) 4\/7 (b) -3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -77*m - 454. Let w be c(-6). Let t(r) = -r**2 - 5*r + 8. Let a be t(-6). Suppose -w = -0*f - a*f. Are f and 4 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*(-1 + (-6)\/(-4)). Suppose -4 + 6 = s. Suppose 5*o - s*o - 66 = a. Does 11 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4608b38 + -6?\nAnswer: 4608b32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -4\/3 (c) 3\/409 (d) 0 (e) 1 (f) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -13169*g**4\/12 + 2469*g**2\/2 - 3268*g - 2. What is the first derivative of t(z) wrt z?\nAnswer: -26338*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8 - (0 - (-8)\/(-4)). Let h(d) = -2*d**2 + 0*d + d**3 - t + d + 8*d**2. What are the prime factors of h(-5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - 3 - (-2 + 0). Let o = z - 0. Suppose o = -3*n - u - 5 + 22, 11 = 4*n - u. Solve -l - 3 = -n for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + k + 75 = 0, 0*k = x - 5*k - 39. Find the third derivative of 6*m**5 + 6*m**2 - 23*m**5 - x*m**5 + 4*m**2 wrt m.\nAnswer: -1860*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2\/5 (b) -11256 (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 435?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 10552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 36*c - 1584. Let u be h(44). Solve u = -13*m - 70 + 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.02 - -0.22. Let b = q - -0.3. Let p = 3.5 - b. Is p less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22000 divided by 2\nAnswer: -11000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23431752?\nAnswer: 2, 3, 503, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29064 by -42.\nAnswer: -692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, g: 1, p: 1, c: 1, r: 1}. What is prob of sequence grpc?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2 - y - 2. Let r be n(-2). Suppose 0 = 3*c - 5*c. Suppose c = -w + 4*w - 24. Is w >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z - 118 = 79 - 93 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -529\/6 + 88. Let h be (-21)\/49 + 146\/14. Let j be (-8)\/16*h\/(-3). What is the smallest value in q, j, 4\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.47 - 0.07. Let q = 963.919 + -964. What is the biggest value in o, q, 2\/19?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -432 + 428. Let q = 3.6 + 0.4. Let y = 6 - q. What is the closest to 0 in -1, y, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7, -27, -57, -103, -171, -267, -397?\n\"Answer: -l**3 + l**2 - 16*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pgp when three letters picked without replacement from psssppusbgps.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 6*s**2 + 5*s - 8*s**2 - 4*s + 24*s**2 - 42. Let v be u(22). Let m = -17 - v. Solve m*x = 5*q + 34, -x + 5*q + 28 + 0 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 172 + -179. Let b(z) = -5 - 3*z - 6 + 2*z. Let k be b(r). Put -3, k, 5 in increasing order.\nAnswer: k, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/21)\/p)\/(p\/(p**(2\/3)*p))*(p**(-1\/9)*p)\/p*p**(1\/13)*p)**(-20) assuming p is positive.\nAnswer: p**(-8800\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b. Let o(i) = -i**3 - 13*i**2 + 13*i + 6. Suppose 5*v = 32*k - 29*k + 37, -5*v = k + 19. What is the lowest common multiple of z(4) and o(k)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = 4*n - 5*y + 22, 4*n + 3*y - 52 = 0. Suppose -4*a + 0*a = -n. Solve -l - 5 = -a for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74.3 - 74.4. Which is the closest to 0? (a) 3 (b) -3\/2 (c) t (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7421 and -42?\nAnswer: 311682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 4*o + 4. Let g be a(6). Let c = g - 44. Let p = 45 + c. What is the remainder when 32 is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4294, -8515, -12654, -16711, -20686, -24579, -28390?\nAnswer: -32119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2. Suppose -2*b + 4*u = 3*b - 290, -4*b + 4*u + 228 = 0. Let c be ((-31)\/62)\/((-2)\/12). Let x(v) = -62 - c*v + b. Calculate z(x(l)).\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*b - 1. Let a(n) = 30*n**3 - 3*n**2 + 3*n - 3. Let u be a(b). Let j = u - -1640. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.7 + -0.7. Let f = 5 + y. Which is the third smallest value? (a) 0.4 (b) 0.5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 6 + 4. Let j(t) = t - s*t + 3*t. Let f(z) be the second derivative of -11*z**3\/3 + 17*z - 38. Calculate j(f(x)).\nAnswer: -44*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -21 (b) 3 (c) -358 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8421111497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 4. Solve -5*o - t = 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of d**4\/4 - d**3\/3 + 2*d**2 - 4*d + 10. List the prime factors of s(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 319056 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0\/(v**0*v)*(((v**0\/v)\/v*v)\/v)**49)**38)**49 assuming v is positive.\nAnswer: v**(-184338)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -8. Let b = -3 - o. What is the closest to b in -3, 1\/4, -1\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1854 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 440 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + m - 39. Let s = -13 - m. Suppose 3*l + s*x - 58 = -5*x, -4*x = 16. Is l a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5149*g**3 - 9*g**2 - 111*g + 1?\nAnswer: 30894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10651961833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64368 is divided by 298?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7.2 - 7.21. Let j = -673 - -668. What is the fourth smallest value in 1\/5, j, b, -1\/6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a micrometer in nanometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 159014049*c + 539986347 wrt c.\nAnswer: 159014049","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36110 is divided by 75?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11724 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -9959*l - 3. Let f(r) = -8*r**2. Give p(f(m)).\nAnswer: 79672*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2a8c - -5?\nAnswer: -2a87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -302, -626, -976, -1364, -1802, -2302, -2876?\n\"Answer: -2*g**3 - g**2 - 307*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -10*q**2 - 11*q + 62. Let c(i) = -3*i**2 - 3*i + 20. Let z(r) = -7*c(r) + 2*p(r). Determine z(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u*u**(2\/5))\/u*u)\/u)**20*(u*u\/(u*u**(-11)*u*u))\/u**10 assuming u is positive.\nAnswer: u**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1437, -2855, -4291, -5757, -7265, -8827, -10455, -12161?\nAnswer: -13957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 69954 and -7.946.\nAnswer: -555854.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzuzzzz. Give prob of picking 2 z and 1 u.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -528647, -528645, -528643, -528641?\n\"Answer: 2*u - 528649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 2*n - 13 = 3*n, 5*d - 4*n = 40 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -497 - -500.78. Let h = k + -3.779545. What is h rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -27, -231, -15, -2, -3 in ascending order.\nAnswer: -231, -27, -15, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -216\/7 - -31. What is the nearest to s in -0.4, 4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 10 - 4. Let p be 0\/(-2 + -2 - t). Find the third derivative of w**5 + p*w**5 + w**2 + 2*w**5 wrt w.\nAnswer: 180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**2 - f - 3. What is z(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*l = -252. Let v = -195 - -97. Let r = l + v. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 53*r**3 + 923*r**2 + 1222*r + 352.\nAnswer: (r + 1)*(r + 16)*(53*r + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -5*a + 4, -2*w - 5*a + 4 = -9. Calculate the highest common factor of w and 288.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/(sqrt(288) + (sqrt(288) - (-1*sqrt(288) - sqrt(288)))))**2.\nAnswer: 17\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3595 = -5*n - 3570 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1502701*q**2 - 29*q + 5*q**3 - q**3 - 1502699*q**2 in the form i*q + b*q**3 + w*q**2 + d and give i.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-3)*a**7\/a)\/(a\/a**(2\/3)*a\/a**7))\/(((a\/a**(1\/2))\/a)\/((a\/(a\/((a*a*a\/((a\/a**(-1\/5)*a)\/a)*a)\/a)))\/a))**(-10\/3) assuming a is positive.\nAnswer: a**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 337877663 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65847?\nAnswer: 3, 47, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -89, -4, -2\/9, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**2 - 3*z**3 + 7*z**2 + z**2 + 2*z**3 + 1 - 7*z. Give u(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -863, -1727, -2595, -3467, -4343?\nAnswer: -5223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 7*x - 9. Let s be a(6). Let b = 63 - s. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30686 at least as big as 8453?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 284634767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1035 + 1107. What is the greatest common divisor of 162 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 19*i**2 - 37*i + 14. What is z(16)?\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/5)*b)**(-5\/8)\/(((b**(-8)*b)\/b)\/b**6) assuming b is positive.\nAnswer: b**(55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6041, 6034, 6027, 6020?\nAnswer: 6013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 2004*l**2 + 3944*l + 120116. Determine f(2002).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*t**5 - t**4 + t**4 - 120*t + 96*t wrt t.\nAnswer: -300*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 352.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 6:35 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 72115 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b472 (base 16) in base 6?\nAnswer: 3444402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + sqrt(52)\/sqrt(4) + -2)**2 - sqrt(13)*-1*-3)*3.\nAnswer: -33*sqrt(13) + 168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282511.\nAnswer: 19, 14869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 6*a - 11 + 17.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/5 = 3\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/9889 and -37\/8990?\nAnswer: 98890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 10. Let l(k) be the third derivative of k**5\/12 - 474*k**2. Determine a(l(w)).\nAnswer: -25*w**4 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -165 - (-375 + (107 - -43))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/73 (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 6658*a - 1684435. What is b(253)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 31500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11.241 - 11.031. Sort l, 0.2, 4, 2\/43, -4.\nAnswer: -4, 2\/43, 0.2, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 167 and 306.6583?\nAnswer: 139.6583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 5*i**2 - 9*i - 15. Let n be r(-4). Suppose 4*t - t = 0. Suppose t*f = -f. Sort 3, f, n.\nAnswer: f, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 9:23 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 4*p. Let a(s) = 15680*s. Give a(o(c)).\nAnswer: 62720*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3144068?\nAnswer: 2, 786017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 210872 (base 10) in base 16?\nAnswer: 337b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 265 - 136. Let m be ((-192)\/(-9) - -2)\/((-14)\/42). Let r = m + f. List the prime factors of r.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x + 14*x + 10 = 0. Let t be (-1)\/((-12)\/(-8) - x). Suppose -158 = -t*r + 54. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 671 - -16930?\nAnswer: 17601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**5 + 2*f**5 - 4*f**5 + (-3*f**2 + f**2 + f**2)*(2 - 2*f**3 - 2) - 2*f**4 + 2*f**4 + f**5 - f**2 - 61*f**4 - 16*f**5 + 115*f**4 - 53*f**4.\nAnswer: -15*f**5 + f**4 - f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/4*(-79)\/126. Let g = 1\/36 - n. Let f be -16*(-3 - ((-232)\/16 - -11)). Which is the second biggest value? (a) g (b) 5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1324146 and 4378?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136 = 27*b - m, 2*b + 236*m + 98*m - 336*m + 12 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10319280 and -388624.\nAnswer: 9930656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 6*l**2 - 15*l + 3. Let u = 23 - 13. What is the remainder when r(4) is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q. Let f be x(6). Let s be (-369)\/f - (-1 + 2\/4). Let y = s + -49. What are the prime factors of y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 12 (b) 5 (c) 181\/231 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 13*w**2 - 7*w - 59. Let d be t(-13). Suppose -n - 140 = 4*n. Let i be 2232\/10 - n\/35. What is the highest common factor of d and i?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 22 + -3781076?\nAnswer: -3781054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqqyygsp. What is prob of picking 1 s and 1 g?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 37433862 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 91.1 + -87. Let r = -0.01 - -4.01. Let v = r - m. Which is smaller: 2\/3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23533 and 14679.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(2\/5))**(-28)\/(f**(-6)*(f**(-1\/8)\/f)\/f))**(-1\/5))**(1\/57) assuming f is positive.\nAnswer: f**(347\/11400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 7:25 AM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22182 - 22185. Which is the closest to -0.1? (a) -0.329 (b) 5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -326500+-1918409\nAnswer: -2244909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eze when three letters picked without replacement from eouz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 5*c**2 - 5*c - 8. Let g(q) = q**2 - q - 1. Let l(a) = 6*g(a) - p(a). Let y(i) be the first derivative of l(i). What is the derivative of y(f) wrt f?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(2736) - ((sqrt(2736) + 0 - sqrt(2736))**2 - sqrt(2736))) - (sqrt(2736) + -1 - sqrt(2736) - sqrt(2736))*-4 - (sqrt(2736) + 0 + 1 + 4).\nAnswer: -9 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**3 - 384*c**2 - 2230*c + 199. Calculate u(-186).\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4, -25, -70, -151, -280, -469?\n\"Answer: -2*o**3 - 7*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1757 - -2327. Which is the second biggest value? (a) 0.5 (b) x (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/6 at least as big as -220?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of 3*r**6\/8 - 359*r**5\/6 + 8900*r**4\/3 + 8000*r**3\/3 - 8*r**2 + 32*r. Factor l(t).\nAnswer: 5*(t - 40)**2*(9*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (4 + -2 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l + 14*l**3 + 6*l + 17*l**3 + 23*l**3.\nAnswer: 54*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3999091\/19032 + -1681\/8. Let g = y - 135583\/47580. Let u = -88\/85 + -4111\/1530. What is the common denominator of u and g?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14001, -56000, -125999, -223998, -349997, -503996, -685995?\nAnswer: -895994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.3, 5, 9, 2, 1, -8\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/(-120) + -62*3\/(-45). What is the third smallest value in s, 0, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168177309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-33)\/(-22))\/((60\/8)\/(-5))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145 = 2*n - 21*b, -n + 0*n + 236 - 281 = -5*b for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2612073 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c - 9*c**2 - 2*c + c**3 + c**2 + 5*c + 8. Let r be d(7). Let v = 0 + 0.1. What is the second biggest value in 0, r, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 224.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24.9 - 25. What is the nearest to x in 0, -0.4, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0731 + -105.5269. What is c rounded to zero decimal places?\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((200\/(-32))\/5)\/((-795)\/(-424)))\/((-2)\/(-327)).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -238 or 2\/35?\nAnswer: -238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 26 = -2*j, -2*a - 9 = -5*j - 4. What are the prime factors of (-19)\/((-1 + j)\/(-2))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 40 = 3*k + 2*k, 4*b - 20 = 0. Put -3, -1, 5, k in descending order.\nAnswer: 5, -1, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7\/1565 + -577\/10955. What is the biggest value in -1, -2, u, -2\/17, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.611 + 0.607. Let i = 3.82 + -6.636. Let w = i + v. Round w to one decimal place.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 5*m + 55. Let d(c) = 6*c**3 + 76*c**2 - 33*c - 86. Let r be d(-13). Give s(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**(-1\/2))\/u)**3*u**(-6)*(u*u**0*u*u)\/u assuming u is positive.\nAnswer: u**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 723 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 10)*(19*f - 75 + 75) to the form p*f + i and give p.\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l - 3. Let g(f) = -4*f + 4. Let v(y) = 5*g(y) + 7*i(y). Let j be v(1). Let h = 215 + -1933\/9. What is the second smallest value in j, h, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.41 - 432170?\nAnswer: -432172.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 5:37 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/3)\/(-1) - 2\/(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, -3, 21, 1300, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, z: 7}. What is prob of sequence zz?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.009 + 42.009. Let c = v + -55. Let p = c + 8. What is the nearest to -2\/3 in -2\/7, p, 0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24385 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10273 is divided by 603.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 544257194.\nAnswer: 2, 13, 73, 286753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, q: 4, n: 1, c: 9, l: 2}. What is prob of sequence llq?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-8)*-1)\/(36\/24)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1404?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 106*c. Let o(q) = -117*q + 8. Let u(y) = 73*y - 5. Let h(b) = 5*o(b) + 8*u(b). Give p(h(x)).\nAnswer: -106*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3101*j - 70. Let y(p) = -1922620*p - 43414. Calculate -3101*l(f) + 5*y(f).\nAnswer: 3101*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4541001 - 4540987.000007. Let j = 14 - v. Round j to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 2354.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from nnnnnuununnnnnnunn.\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w - 24*w**2 - 4*w + w + 39*w**2.\nAnswer: 15*w**2 - 11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 33 = -l, 215492*v - 215489*v - 150 = -4*l for l.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 79\/3 of a year in months?\nAnswer: 316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -4322?\nAnswer: -4325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 799, -5, 5, 872 in descending order.\nAnswer: 872, 799, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 113 and 18871.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4081823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 5*s - 3*s + 28, -n - 3*s + 14 = 0. Suppose -4*l = -2*h - n + 38, -2*l = -5*h + 84. Solve -3*x - 5 = f - 2*x, 2*f + 4*x = -h for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.19, -1, -17?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-12))\/(2\/15). Suppose 4*u = 2*l - 82, 6*l - x*u = l + 205. Suppose 24 = z - l. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c18 (base 14) to base 10.\nAnswer: -2374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 108*q**4 + 1728*q**3 + 1656*q**2 + 544*q + 60.\nAnswer: 4*(q + 15)*(3*q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1174, 4642, 10306, 18076, 27862, 39574, 53122, 68416?\nAnswer: 85366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 110*n + 2054. Determine q(-86).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-385)\/20 + -30 + (-1452)\/(-48).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 - 10 + 9*m**2)*(50*m**2 - 10 + 13 + 13*m**2) as k + c*m**3 + y*m**2 + d*m + i*m**4 and give i.\nAnswer: 567","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in sixty-seven quarters of a kilogram?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -85 + (81 - -111) + -151\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2\/11 (b) -1\/31 (c) 0.3 (d) -0.03 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1444 - -1441. What is the second biggest value in 2, w, -2\/5, -32?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (17 + (-7 - (7 + -10)))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2600)*2 - sqrt(2600))\/(sqrt(98) - -4*sqrt(98))*-2*-5 + 5)*-6.\nAnswer: -120*sqrt(13)\/7 - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -6, 5*u - 4*j - 7*j + 19 = -22*j + 9*j for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, g: 3}. What is prob of picking 4 o?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*x)*(6*x - 3*x - 2*x) - 2*x - x**2 + 2*x + (-x + 0*x + 3*x)*(6 - 2 - 3)*(-2*x + 3*x + 3*x).\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 115 = 35. Let a be 2\/6 - m\/(-6). Solve -8 = -v - a for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73274.\nAnswer: 2, 36637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - b - 5 = 0, -15 = 2*d - 0*b + 3*b for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 2236.\nAnswer: 1\/559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 265972 and 2362773.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 e when two letters picked without replacement from {n: 5, e: 1, j: 1, o: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -23*b - 2. Let h(q) = 2898*q + 253. Give 2*h(f) + 253*o(f).\nAnswer: -23*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - r - 1. Let d be y(3). Let f be d*(-11)\/(-1 + 0). What is the highest common factor of f and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 3.2. Let n = 331 + -663\/2. What is the third smallest value in k, n, -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 17\/(-12) + 3\/4. Let p = 0.04 + -0.07. Let v = 0.17 - p. Which is the third smallest value? (a) v (b) 0.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(189\/9)*(-5)\/(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k - 9 - k - 21*k**2 + k**3 + 22*k**2. What is j(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -8, 5\/2, -308, -1\/6.\nAnswer: -308, -8, -5, -1\/6, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 4*r - 8*r + 16, -5*l + 3*r = -23. Suppose o = -l*o + 40. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 111336 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b**3 + 11*b**2 - 11*b + 11. Suppose 5*g - 4*g + 11 = 0. Let r be (g + 3 - -4) + 0. Let w(k) = -k**3 - 4*k**2 + 4*k - 4. Give r*t(p) - 11*w(p).\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.003 and 37389819.\nAnswer: 37389819.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 9:44 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -w**5\/60 - 11*w**4\/8 - 25*w**3\/3 - 118*w**2. What is the smallest common multiple of 1 and x(-31)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*x + 21*x + 3 = 0. What is the first derivative of -9 + x + 30*m - 17*m - 24*m wrt m?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - -315?\nAnswer: 31c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*l - r - 290 = 23*l, 146 = -2*l - 2*r + 166 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of d**4\/4 + 4*d**3\/3 - 3*d**2\/2 + 2*d - 395. Give n(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -395 divided by -2.\nAnswer: 395\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 86041116 divided by -21\nAnswer: -4097196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(90))\/sqrt(5))\/(-3*sqrt(324) + sqrt(324)).\nAnswer: -sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 0.03, 1\/326?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - 14. Let w be (-11)\/10 + (-6)\/(-10). What is the nearest to 0.1 in w, -2\/5, p?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y\/(y*((y\/((y*y**(-1\/6)*y)\/y))\/y)\/y))\/y*y)\/(y\/(y\/(y*y**(-2)*y)))*(y**0\/y)**(-20)*((y*y\/(y\/y**(-4\/7))*y)\/y**(3\/2))**(-15) assuming y is positive.\nAnswer: y**(502\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -0*c + 4*d - 218, 0 = 5*c + 3*d - 356. Calculate the smallest common multiple of c and 21.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7084308 and 263296?\nAnswer: 8228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -5 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -269, -557, -845?\nAnswer: -1133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -205 (base 13) to base 9\nAnswer: -421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 3*y**2 - 9*y + 18. What are the prime factors of l(7)?\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u - 63 - 59 + 181 - 62 to the form n*u + l and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 115, -4, -159, -5, 3 in decreasing order.\nAnswer: 115, 3, -4, -5, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -548 - -548. Suppose -2\/7*t**3 + 0*t + u + 2\/7*t**2 = 0. Calculate t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 209 divide 21572771?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t. Let q(g) = 21*g**2 - 2341. What is c(q(a))?\nAnswer: 63*a**2 - 7023","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v**3 - 2*v**3 + v**3)*(-132 + v + 309 + 528) to c*v**3 + m*v**4 + x*v**2 + y*v + i and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c + 11. Let j be u(-6). Let h be 24\/(-36)*(j + 2). Let v = -2 - -7. What is the third biggest value in -0.2, h, v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474713 - -5?\nAnswer: 474718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 28*y**2 + 27*y - 3. Let a be x(3). Let j be (-44)\/a + 104104\/30. What is j rounded to the nearest 100?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(9\/5)\/v*v)**(-11)*v**(3\/10)\/v**(-14\/9) assuming v is positive.\nAnswer: v**(-521\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 58565177 to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -805985\/24 - -101686\/3. Suppose 0 = -39*a + 38*a - 313. Let f = w + a. Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**5 - x**5 - x**5 + (0*x**5 + 8*x**5 + 4*x**5)*(2 - 2 + 2).\nAnswer: 22*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3133301 millimeters in micrometers?\nAnswer: 313.3301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 7*a + 14 = -5*a, 2*a = z - 16. Let l = z + -3. Suppose 0 = v - 16 - l. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 6*n + 6. Let x be y(7). Let g = 354 - 345. Suppose 6 + 30 = -g*p. What is the smallest value in -0.5, p, x, -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z + 7*z - 5*z. Let f(d) = -5*d. Calculate -6*f(v) - 26*u(v).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 22. Let v be ((-14)\/21 - w\/(-12))\/(-2). Which is the second smallest value? (a) 3\/4 (b) v (c) 5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11 + -2 + -4*(-3 - 152\/(-32)). Let g(v) = 0*v - 1 + 2*v + 3 + 2*v. Let l(m) = -3*m - 3. Let a(p) = 3*g(p) + 2*l(p). Determine a(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-1*282*1170\/10530.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 25 = 7*z. Let c be (z - (8 - 4))\/(-4). Let r = -892 - -897. Solve -4*x - 6*q = -q + 12, 2*x + r*q + 6 = c for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 14*m**2\/3 + 10226*m\/3 - 392704\/3 = 0.\nAnswer: -767, 256\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -203, -1232, 7 in decreasing order.\nAnswer: 7, -203, -1232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.14, 0.4 in descending order.\nAnswer: 3, 0.4, 0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 143 divided by 6\nAnswer: 143\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*m + 2. Calculate the remainder when m is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -48*o - 34. Let g(t) = -16*t - 12. Let k(d) = -17*g(d) + 6*h(d). Let w(p) = p. What is w(k(a))?\nAnswer: -16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 9*i**5\/5 + 150*i**4 - 1269*i**3\/5 + 102*i**2 = 0.\nAnswer: -85, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yfybywyyfiqybfff. Give prob of picking 1 i and 2 b.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 7*n + 6. Let o be f(6). Suppose 5*d - 19 = -3*v, -d + 5*v + 15 = -o*d. What is the third derivative of -u**2 + 0*u**2 + 4*u**5 - 3*u**d wrt u?\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 337, 453, 545, 619, 681, 737, 793, 855?\nAnswer: 929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/42*6\/4.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5722.4 + 5718.4. Let f be -2 - (1 - 25\/9). Let k = -0.08 + 4.08. Which is the fourth smallest value? (a) k (b) f (c) u (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-9 - -8) + -4 + (-13 - -15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 l when four letters picked without replacement from {f: 10, l: 8, a: 1}?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fourty-seven quarters of a meter?\nAnswer: 1175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sqkb when four letters picked without replacement from bekkebkqsebebetbqkkk.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z - 237 = 3*h - 207, -2*z = -5*h - 26 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 189682 - 189682.00000162997. Round u to 7 decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1056637893?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6128 and 16.\nAnswer: 6128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -12 + 19 - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*q = -262 - 188. Sort 5, 15, q, -4 in ascending order.\nAnswer: -4, 5, q, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 5*r + 20. Let y(w) be the third derivative of 0*w + w**2 - 1\/4*w**4 - 5\/6*w**3 + 0 - 1\/60*w**5. Determine y(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -2, 4303, 7, 5, 2 in descending order.\nAnswer: 4303, 7, 5, 2, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78954503 and 2488.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -150, -110, -70?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 279467 * -1.1.\nAnswer: -307413.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 166 and 5976.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94517*f**2 - 189139*f**2 + 94619*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - (-26)\/(-1))*-1*(2647 - 2640). Is -15 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 2*c - 19. What is k(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/493 and 80\/2667159.\nAnswer: 45341703","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + 12.8.\nAnswer: 13.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 421 and 63992?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((11 + 5 - 6)*(1 + 1 + 4) - 3 - 2 + 4)*(12*z + 11*z - 2*z) in the form w*z + g and give w.\nAnswer: 1239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4866036.\nAnswer: 2, 3, 7, 53, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7*16.\nAnswer: -11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1\/(-30))\/((-52332)\/(-83660)) and -4\/51?\nAnswer: 14994","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(2156)*4 - sqrt(2156))\/((sqrt(32)*2)\/sqrt(8) + -2*sqrt(64) + sqrt(64)).\nAnswer: -133*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 12*j**2 + 5*j - 5. Let p be u(12). Let q = p - 67. Is -21\/2 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 950?\nAnswer: -4\/475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 907 times 390.51?\nAnswer: 354192.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*f + 39. Calculate the remainder when (30\/8)\/((-60)\/(-160)) is divided by f\/10*(-60)\/(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 34?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/(-6) - (73 + -1). Let i be (12\/(-36))\/((-1)\/f). Is i < -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.052 (b) -1\/328 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.3649506 rounded to zero dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1769*i - 3788*i - 5135*i.\nAnswer: -7154*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 15 = 4*d. Let w = 186 + d. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**3\/17 + 21802*o**2\/17 + 15076880*o\/17 + 2695763616\/17 = 0.\nAnswer: -10173, -364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.007, 4\/3, -7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, t: 2, v: 1}. What is prob of sequence tv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7227*j + 14517*j - j**2 - 7288*j.\nAnswer: -j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -23*h + 129. Calculate a(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 71769 and 3563.\nAnswer: 502383","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 73685221 + 1?\nAnswer: 73685222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45204.\nAnswer: 2, 3, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -5*u**2. Let b(v) = 46*v. Give b(h(m)).\nAnswer: -230*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -3\/5 (c) -104 (d) 21445 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1990575 and -106.551.\nAnswer: -1990681.551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 406*w - 2396. Give a(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 32869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(90)\/sqrt(3))\/sqrt(10) - sqrt(48)*2 - sqrt(432)*-4))**2.\nAnswer: -328*sqrt(3) + 5059","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4*v + 99 = -205, -5*v = 4*u + 295. Let l be (-16)\/10*u\/2. Let x(p) = -3*p - 3. Let s be x(-5). Calculate the highest common factor of s and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -0.22.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 2*w + 36. Suppose 3*n = w - 0. Solve -n*x = 2*f - 0*x - 12, 4*f + 12 = 3*x for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 5*w + w)*(-5*w - 3*w + 5*w)*(-4*w + 3*w - 6*w).\nAnswer: -84*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 9*j - 18. Let d be w(3). Let i be (-2 - d) + 1 - (-4)\/16. What is the third smallest value in -0.5, -0.4, i, 0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 460 + -460. Suppose y = -9*p - 7 + 151. Calculate the remainder when 93 is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 4*b + 80. Let w = b - -60. Let d = 2 + -2. Solve d*s = 5*s + w for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k. What is the remainder when 38 is divided by g(20)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 38 = 5*p + 3, -7 = -p - 2*h. Does 12 divide (-1)\/(-2)*(14 + 8)*p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 14*g**2 + 17*g - 11. Let n be a(15). Solve 0 = 13*u - n*u - 18 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*w - 7. Let p = 3 + w. Let u be (-1)\/p*2 + 7. What is the greatest common divisor of u and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*h = -631*h - 573*h + 12159 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 80 - 80.39. Let i = o + -8.61. Which is the biggest value? (a) i (b) -4 (c) 1 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -396, -625, -854?\nAnswer: -1083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k**3 - 269*k**2 - k - 3023 with respect to k.\nAnswer: 3*k**2 - 538*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -5088881\nAnswer: 11\/5088881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13540000 rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c + 8*c + 0*c)*(-32*c - 16*c + 2*c)*(-2*c + 3*c - 3*c).\nAnswer: 184*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2686 + 2692. Solve -k*s = -694 + 664 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 5 (b) -2 (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 54643.9 and 0.21?\nAnswer: 11475.219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of x**6\/200 + 2*x**5\/25 + x**4\/8 - 5*x**3 + 83*x**2. Factor q(r).\nAnswer: 3*(r - 2)*(r + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + t**2 + t. Let s(l) = 6*l**3 - 11*l**2 - 2*l - 3. Let k(q) = -s(q) - 7*y(q). Determine k(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 638095 is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 11:37 AM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -155617.2525 to the nearest ten.\nAnswer: -155620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 775*y - 3942. Determine u(5).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41657\/6 + -6976. Are -33 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1369.7*-0.3.\nAnswer: 410.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 8) + -2 + -45 + -10 - -8 - 12?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3 + ((sqrt(95) - -5*-1*sqrt(95))*4)\/((sqrt(5) - -1*sqrt(10)\/sqrt(2)) + sqrt(80)*-1)).\nAnswer: 9 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3086834468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.6119ns to days.\nAnswer: 0.00000000000033115625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-23)\/(-18) + -2 - (-1)\/2. Sort o, 23, 1\/2 in descending order.\nAnswer: 23, 1\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5b4 - 3?\nAnswer: -5b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -14*x**2. Let m(q) be the first derivative of 2*q**3\/3 - 9*q - 1718. Determine w(m(f)).\nAnswer: -56*f**4 + 504*f**2 - 1134","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.16433 rounded to zero decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43068835?\nAnswer: 5, 311, 27697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 720492667 to the power of 1\/3, to the nearest integer?\nAnswer: 896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1662 is divided by 128.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 317044 to the nearest integer?\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -59*l**6\/30 + 4*l**4 - l**3\/6 - 85*l. What is the third derivative of z(n) wrt n?\nAnswer: -1416*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 times -10071.14?\nAnswer: -664695.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 15 = -2*i - 4, -4*i + 4 = 4*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5127148\/111 smaller than 46191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (368\/(-6440))\/(12\/63).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -286272*-9.57.\nAnswer: 2739623.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 8*s**2 - 5*s + 1. Let c(q) = 17*q**2 + 0 + 7 - 4 - 11*q. Let t(w) = -3*c(w) + 7*v(w). Does 4 divide t(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, k: 7, t: 2, z: 4, b: 1, r: 4}. What is prob of sequence kbtt?\nAnswer: 7\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 - -217627117852.2.\nAnswer: 217627117782.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-9)*(15\/50)\/(754\/130).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00046312 to six decimal places.\nAnswer: 0.000463","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -38*x**3 + 8*x**2 - 5*x - 5. Let f(o) = 39*o**3 - 9*o**2 + 6*o + 6. Calculate 5*f(h) + 6*r(h).\nAnswer: -33*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1, -4, -11, -26, -55, -104, -179, -286?\n\"Answer: -m**3 + 5*m**2 - 13*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + -4 - (-1 + 2). Let y be (12\/(-8) + 2)*1*0. Is n not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*2\/952*4.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 5:10 AM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 55*r**6\/3 + 9*r**2\/2 + 2*r - 97. Find the second derivative of l(n) wrt n.\nAnswer: 2200*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**2 - t. Let c(l) = 3*l**2 + 67*l - 280. Let h be c(-26). Determine m(h).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -o**4\/60 + 7*o**3\/30 + 8*o - 4. Factor r(i).\nAnswer: -i*(i - 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 10 = -2*x, 0*x - 3*c = x - 6. Suppose 0 = 3*m + 3, h + h - 7 = -x*m. Solve 0*u**2 + 2\/3*u**4 + 0*u**3 + 0 - 1\/3*u**h + 0*u = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 136*c - 859. Let a(i) = 2*i. Determine a(t(w)).\nAnswer: 2*w**2 + 272*w - 1718","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*c + 35 - 1818 = 4265 for c.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -382 - -407. Calculate the remainder when 46 is divided by f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144 divided by 48.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((468\/(-1053))\/((-4)\/6))\/((-60)\/2592*-8)?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6057 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/30146 and 27\/20.\nAnswer: 301460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(28\/4)\/7)\/(9\/(-81)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52908 is divided by 3777?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2238 - -0.2\nAnswer: -2237.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 676683 divided by 63\nAnswer: 10741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*f = -56*f - 62 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -4, -9, -1.\nAnswer: -9, -4, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225*c + 253*c + 214*c = 41719296. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**5 - 12552*x**4 - 37674*x**3 - 37680*x**2 - 12561*x.\nAnswer: 3*x*(x - 4187)*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c25 (base 16) in base 8?\nAnswer: 16045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12082044 a multiple of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4561 + -4561. What is the nearest to 1 in -0.2, -2\/11, z, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -171611\/303 or -566?\nAnswer: -566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 533006 is divided by 1129.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 228744.78 hours?\nAnswer: 9531.0325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -8*x**3 + 219*x**2 - 295*x + 179. Determine z(26).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 1 (b) -3\/7 (c) 3 (d) -185 (e) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -78*l*p - 516*l - 413210*p wrt l?\nAnswer: -78*p - 516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -6. Is 22 a factor of ((-3 + 1)*-22)\/z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, h: 6, k: 5, a: 1, q: 3, m: 3}. What is prob of picking 1 k and 1 a?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1135607.\nAnswer: 11, 103237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/10376094 and 46\/1729349.\nAnswer: 10376094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**4 - 2*q**4 - 2*q**4 + (-9059*q**3 + 455173 - 455173)*(-q - 4 + 4) to g*q**3 + y*q**2 + o*q + i*q**4 + u and give i.\nAnswer: 9057","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.03 - 0.04. Let d = -4.99 + q. Let y = 41 - 38. Which is the biggest value? (a) -0.4 (b) y (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 405 = -2*d, 2*d = -0*a - a - 135. Suppose 3*m + 4*p + 6 = 0, -3*m - 5*p = -5 + 11. What is the tens digit of (a\/6 - 2)*m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1\/2)*g)**(-1\/95)\/((g*g**7)\/(g**(-4)\/g))*(g\/((g*g**(-4))\/g)*g*g\/g**(-5)*g*g*g)**6 assuming g is positive.\nAnswer: g**(14627\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 0. Suppose 5*i - 3*l = -5*l + 16, c*i + 2*l = 8. Suppose -62 - 474 = -i*o. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47 + 60. Let n = -40 + a. Calculate the remainder when n is divided by (1 + -4)\/((-24)\/232).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -436746 + -0.01204.\nAnswer: -436746.01204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2038113067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -6*z + 23. Let s be l(3). Let c(y) = -75008*y + 40. Let f be c(s). Round f to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + c + 46 = -0*c, 0 = -4*s + 2*c + 44. Suppose 0 = -9*q + s*q + 276. Let g be 3\/(-2)*q\/6. Which is smaller: g or 24?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1942372654?\nAnswer: 2, 9029, 107563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + h + 2577 = 0. Let y = h - -1590. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 446502323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {y: 6, q: 5, f: 4, j: 4}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.0607 - 6557\nAnswer: -6556.9393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -0*p - 2*p + 4*m, 7 = 5*p + 4*m. Suppose -5 = -5*t - 30. What is the second smallest value in t, 3\/7, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 409*n - 126*n - 18 - 219*n to f*n + h and give h.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in -0.3, 1.3, -5\/6?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 5*a + 155, -a + 210 = 4*u + 25. Calculate the remainder when 48 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - r**2 - 1. Let a(v) = -9*v**4 + 6*v**3 - 2*v**2 - 6. Let c(f) = a(f) - 6*l(f). What is the third derivative of c(x) wrt x?\nAnswer: -216*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 141111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**20\/p**30)\/(p**(-9)\/p*p)**(-13))**(5\/12) assuming p is positive.\nAnswer: p**(-635\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 69 + 41. Suppose r + 240 = 7*q. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -10 (c) 2\/7 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -7*s**2 + 1. Give a(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.01, -1, 0.7, -27\/4 in ascending order.\nAnswer: -27\/4, -1, 0.7, 2.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 38475 + -13?\nAnswer: 38462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 18 + 13)*(-5*b**4 + 4 - 4) + 58*b**3 - 9 - 2*b**4 - 58*b**3.\nAnswer: -147*b**4 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away -44707.6?\nAnswer: 44707.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 4 + 8 - 9*j + 57 + 8*j. Suppose 7 = -5*w + 152. Calculate the smallest common multiple of s(w) and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 590, 770, 94, -1 in descending order.\nAnswer: 770, 590, 94, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 6:59 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*1\/(-32)*2. Let s be (3 + -7)\/(-7 - 3). What is the closest to -1\/2 in v, s, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 7, -5.66, 1.77?\nAnswer: -5.66","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) 0 (c) -13470\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12215930 and 7329558.\nAnswer: 36647790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 93, 229, 433, 741, 1189?\n\"Answer: 6*r**3 - 2*r**2 + 100*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s**3 - 60*s**2 + 64*s - 581. Is g(-39) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14936 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(3 + sqrt(396)) - sqrt(396))*-6 + 2 + 0)*3 + 4.\nAnswer: 334 + 756*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/3 + 1952*y - 34920.\nAnswer: -2*(y - 2910)*(y - 18)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 12) to base 9\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 110364822 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 19*i**2 + 15*i + 118. Determine u(20).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 18*b. Suppose 4*i - 5*y - 474 = 488, 0 = 5*i + 2*y - 1219. Let d(v) = -3*v - 243 + 0*v + i. Give t(d(l)).\nAnswer: -54*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66 - 1 - 32 - 8*j**2 - 33.\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 0 = 2*u + 16 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-1\/4)\/b)\/(b*b*(b**(-2\/27)*b)\/b))**(2\/11))**(-10) assuming b is positive.\nAnswer: b**(1715\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 17*p. Let y(f) = -17*f. Give 4*q(u) + 5*y(u).\nAnswer: -17*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17695\/722 - -3\/361. Calculate the common denominator of u and ((-252)\/(-30))\/14 - 54\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -544, -2184, -4962, -8914, -14076?\n\"Answer: -6*f**3 - 533*f**2 + f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1041 - 4?\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6786 and 1276.\nAnswer: 149292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + k**2 + 2*k. Let f(s) = s**2 + s. Let x = 4 - 10. Let w(b) = x*f(b) + 3*y(b). Find t, given that w(t) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/3 and 3\/((-36)\/31) - (-5 + 6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 79.17 + -0.17. Let w = s + -94. Let o = w - -6. Is 4 >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**4\/h)*h*h*h\/(h**(3\/5)*h))**(9\/2) assuming h is positive.\nAnswer: h**(-27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - v - 5, -v = 12*y - 13*y - 3. Find the third derivative of y - 5*b**5 + 531*b**4 - 2*b**2 - b**6 - 531*b**4 wrt b.\nAnswer: -120*b**3 - 300*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 3:57 AM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of a**5\/3 - 3*a**4\/4 - 2*a**3\/9 + 2190. Factor q(c).\nAnswer: c**2*(c - 2)*(5*c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(9\/7)*j\/(j**7*j)*j)\/(j**11)**2 assuming j is positive.\nAnswer: j**(-187\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -31*d**3 + 199*d**2 + 4*d + 16. Let n(c) = 17*c**3 - 98*c**2 - 2*c - 8. Determine -6*k(i) - 11*n(i).\nAnswer: -i**3 - 116*i**2 - 2*i - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 6*f + 3 = 0. Suppose -2*c + 2*h = -16, 0*c + 16 = c - 5*h. Let n = c - f. Is n a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -422, -843, -1264?\nAnswer: -1685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 350 = -10*p. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - sqrt(160)\/(sqrt(200) + sqrt(8)))\/(3*(sqrt(10)*3 + sqrt(10))).\nAnswer: 5*sqrt(2)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1185 in 0, -109\/8, -5?\nAnswer: -109\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15765*m**2 - 15762*m + 3 = 0. Calculate m.\nAnswer: -1, 1\/5255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.139 minus -4?\nAnswer: 6.139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 10) to base 8.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 492191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.7603 + -0.0897. Let k = 3.85 + f. Put k, 9, -5, 0 in decreasing order.\nAnswer: 9, 0, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -15*g + 182 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 576 and 108.\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**3 - b**3 + b**4)*(1622*b + 610*b + 753*b - 309*b + 371*b).\nAnswer: 3047*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2539, -2535, -2529, -2521?\n\"Answer: f**2 + f - 2541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 5*a = -g + 6, 0 = -4*a - 8. Let b = 7.64 + -3.64. What is the closest to 2 in g, -0.4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 2157736?\nAnswer: 3\/2157736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 + 2*j + 13. Let u be q(0). Suppose -u*d = -6*d - 35. Suppose -9 = d*y - 2*y, -v + 15 = -5*y. Solve -3*s - 15 + 0 = v for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n. Let k(u) be the third derivative of 41*u**5\/30 - 2*u**2 + 202. Give j(k(o)).\nAnswer: 82*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of 0*r**4 + 0 + 0*r**3 + 0*r + 1\/60*r**5 - 18*r**2. Let n(y) = 13*y. Determine n(x(p)).\nAnswer: 13*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*z - 3 + (-5 + 0 + 4)*(4 - 4 - 5*z).\nAnswer: 3*z - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1.05 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1479 (base 11) in base 9?\nAnswer: -2542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.103, -7\/4, -0.0428 in decreasing order.\nAnswer: -0.0428, -0.103, -7\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from zzzzzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1490 divided by -298\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 1:31 PM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 - ((39 - 2 - 37) + 19)?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 1045044.\nAnswer: 5225220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3 + 0 + 3*p - 2*p. Let m be 1\/(-3) - 14\/3. Calculate u(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 9*m + 6. Let g be n(8). Let p be (g + 129\/(-3))\/(-1). Suppose 4*i + 3*q - 205 = 0, 3*i + p = 4*i + 2*q. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*l - 12 = 0, -2*a + 2*l - 4 = 4*l. Let n be (0 - (a + 1)) + 5203\/1738. Which is smaller: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mo when two letters picked without replacement from poqomqmmqqqnqoo?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*t + 53*t = 280*t - 4864 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1548)\/(-645))\/(6\/225). Put 10, c, 4, -5 in increasing order.\nAnswer: -5, 4, 10, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of q**7\/11340 + q**6\/1620 + q**5\/540 + q**4\/6 + 2*q. Let s(r) be the third derivative of x(r). Let s(o) = 0. Calculate o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 28*y - 338. Give i(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*136\/12*(-12)\/(-8). Let f(b) be the first derivative of -b**3\/3 - 15*b**2\/2 + 32*b - 1. Let d be f(u). Sort -6, d, -3.\nAnswer: -6, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 8:50 AM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -146 - -776. List the prime factors of s.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7334696.\nAnswer: 2, 916837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72704 = 60*s + 4*n + 72656, 0 = -3*s - 3*n - 48 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6, 4835, 5 in descending order.\nAnswer: 4835, 5, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o**2 - 8*o + 44. Calculate b(3).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 575735302?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21731899 a multiple of 343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 22 = 2*q + 6*b, 0 = 3*q - 4*b - 3. Suppose 244*i - 381 = 107. Suppose -2*a + 20715 = q*m, -5*a + 16579 = 4*m - i*a. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5915 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1379 + 1379.1. Let d = 32 + -35. Let q = d + 3. Which is the closest to z? (a) -1 (b) 1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 8 - 8 + 4*i. Let n(r) = -2*r - 2. Let c(f) = -f + 2. Let o(k) = -2*c(k) - 2*n(k). What is o(h(g))?\nAnswer: 24*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/12*6 - 1. Suppose u = -d - 5. Does 17 divide 380\/(-8)*d\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 452 + -52. Calculate the smallest common multiple of 5 and d.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00020416 to 5 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -5 (b) -13 (c) 23 (d) 2\/5 (e) 0.17861 (f) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63\/188 - 1\/564. Let o = 23 - 24. Sort y, 0.04, o in descending order.\nAnswer: y, 0.04, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -371 - -272. Let n = q - -99.1. Let v be (-27)\/(-28) + (-4)\/(-14). Which is the closest to n? (a) -0.2 (b) v (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-45)\/(-12) - 15\/12 - (-30)\/(-4). Let t = 1 + -0.5. Which is the second biggest value? (a) t (b) 42 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24901474.\nAnswer: 2, 13, 73673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -4*n**3 - n**2. Let m(v) = -v**2 - 9*v - 1. Let d be m(-9). Let z be u(d). Suppose -q + 2*q - 5 = 0. Solve -q*x + z*x = 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9750 and 176875?\nAnswer: 13796250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 40*h - 16*h - 17*h. Suppose -4*s = -11 + 3. Let l(a) = -a + 5*a - s*a - a. Determine c(l(k)).\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, -75, -111, -159?\nAnswer: -219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, 3, 4, 4.7, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -80, -139, -226, -347?\nAnswer: -508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -45 + -2500432?\nAnswer: -2500521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/4*24\/(-15). Suppose 9600000 = g*x - x. What is x rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((17430\/110)\/83)\/(-7)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -3*y**2 + 34 - 12 - 16 - 3*y = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 260*i**2 + 577*i - 857. Calculate l(1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 146 (c) 1 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -223 + 316. Suppose 3*v + 21 = s. Suppose -7*m = -3*m - v. What is the highest common divisor of 66 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - (14 - (-51 - 17) - (10 + -2)).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 6. Let g be (3\/(-7))\/((-6)\/c). Sort -0.1, 1, g in increasing order.\nAnswer: g, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 18*o + 6. Let v be i(-18). Suppose -11*j = -v*j. Suppose j = -10*f + 4*f + 180. Is f a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 3*s - 7. Calculate p(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (-10 - -3 - 14) - -12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23842 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 418?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 428.503 - 428. Let n = y + -0.50300207. What is n rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.06 + 109.94. Let u = -109.999979 + r. What is u rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 85929\nAnswer: 3\/28643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2000202112021 (base 3) in base 10?\nAnswer: -1077847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19739 and 159?\nAnswer: 3138501","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -822*h**2 - 4101*h + 45.\nAnswer: -3*(h + 5)*(274*h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.052 - 1.652. Put -0.32, h, -0.2, 0.3 in decreasing order.\nAnswer: h, 0.3, -0.2, -0.32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 13*m**2 - m - 25. Let v be u(12). Let f(o) = 4 + 3 + v*o - 114*o + o**2. Suppose -2*j - 5*a + 22 = 0, 5 = 5*j + 3*a - 31. What is f(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 160*w**2 + 88\/3*w - 88\/3*w**3 - 484\/3 + 4\/3*w**4 = 0.\nAnswer: -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (4*((2 + sqrt(128))*-5 - sqrt(128))*6)**2)*-3.\nAnswer: -8135427 - 1658880*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 6*z**3 - 3*z**2 - 5*z + 1. Let y(c) = -13*c**3 + 7*c**2 + 11*c - 2. Calculate 7*g(b) + 3*y(b).\nAnswer: 3*b**3 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of 10219*f**8\/336 - f**6\/120 + 425*f**4\/12 - f**3 + 3754*f**2. Find the second derivative of p(o) wrt o.\nAnswer: 204380*o**3 - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*a + 14, -4*t - 5*a + 16 + 37 = 0. Calculate the remainder when t + 70 - (4 + 0) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**2 + 0*i**2 - i**2)*(-3 + 2 - 1 + (-2 + 2 + 1)*(1 + 3 - 2) + 26 - 182 - 186) - 3 - i**2 - i - 1 + 2.\nAnswer: -685*i**2 - i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 430403.7 millilitres to litres.\nAnswer: 430.4037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -13*i - 2. What is s(-10)?\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 30a4366 (base 11) to base 4\nAnswer: 110312223210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 500\/3 + -229. Let t = w - -62. Put 3, -0.074, t in ascending order.\nAnswer: t, -0.074, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9\/5? (a) -684 (b) -1.2 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -34736*d + 1319971. Give m(38).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 300cc33?\nAnswer: 300cc37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -184.3 - -183.8. Let g be (5 + 1)*(-2)\/15. What is the nearest to -0.2 in g, -2\/9, u?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18200 and 98406.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3 + 0 - 2*v + 3*v. Let x be 9 + (-4 - (2 - 6)). Suppose x = 5*g + 34. Determine b(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 966\/15 + 1*(-6)\/15. Suppose -u*x + 10 = -63*x. Suppose 20*i - 19*i = 4. Which is greater: x or i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**2. Let o(t) = -3*t**2 + 185318*t. Give o(r(l)).\nAnswer: -12*l**4 - 370636*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1158 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v. Let o(r) = -7 + 4 + 15*r + 3 - 2. Let q(u) = -481*u + 65. Let m(x) = -65*o(x) - 2*q(x). What is g(m(f))?\nAnswer: 13*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1773720479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 2973 divide 680953078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -1277*p - 620. What is the hundreds digit of g(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*b + 3*p = -57*b + 141, 5*p = -4*b + 105. Calculate the highest common divisor of b and 63.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90207 and 6.\nAnswer: 180414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 7*x - 6. Let p be (-6)\/(-9)*(-12 - 0). Let i be u(p). Suppose -2*h = 2*f - 14, i*h = 5*h + f - 13. Put h, 2, -3 in ascending order.\nAnswer: -3, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 19*n**2 + 19*n + 14. Let d be k(-18). Sort d, -21, -2 in descending order.\nAnswer: -2, d, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -147.2 plus -140698393428?\nAnswer: -140698393575.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/1 - 31\/(-9). Sort v, -0.2, -5 in decreasing order.\nAnswer: v, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0*h = 4*x - 48, -3*h = -12. Suppose -x = -3*a + 8. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 5*f - 12, -13*f - n + 3 = -11*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.399 - -8.801. Let b = c + -9.1. Sort -11\/5, -0.4, b.\nAnswer: -11\/5, -0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19551*k = 19555*k - 24 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wweeeweelewewell. What is prob of sequence wwle?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.5 + 2.6. Let b = 20601 - 61805\/3. What is the third biggest value in 0.05, b, d, 4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(192) + sqrt(192)*-3 + sqrt(192))**2 + sqrt(3) + 1 + 3)*-5.\nAnswer: -970 - 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 5:22 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x - 1. Let p(w) = -267*w**2 - 4*w + 2. Calculate -p(b) - 4*r(b).\nAnswer: 267*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -23359.2 plus -0.076?\nAnswer: -23359.276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 + 3*k**2 + 2*k**3)*(-2*k + 0*k + 4*k) + k**4 + 0*k**4 + 2*k**4 + 624*k**4 + 15*k - 622*k**4 - 14*k + 3 - 31*k**3.\nAnswer: 9*k**4 - 31*k**3 + k + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33.7 - 37.5. Let b = -16.3 + 18. Let c = b - q. What is c rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.4 - 3.4. Let i = -114 + 116. What is the nearest to i in -5, 1\/3, b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gjjj when four letters picked without replacement from jjgjjgjj?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 106565?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -1, 4, -256\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*n - 71 = -428. Let v(w) = 2*w**2 + 33*w + 11. What is the tens digit of v(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/5)*o\/o**2)\/(o**(1\/5))**(2\/17) assuming o is positive.\nAnswer: o**(-104\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -72 + 72. Which is the closest to 0.2? (a) -0.6 (b) h (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 7*m**2 - 5*m + 4. Let r(x) = 15*x**2 - 11*x + 9. What is 9*c(i) - 4*r(i)?\nAnswer: 3*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -1402*y**4 - 2105*y - 7. Let f(h) = -467*h**4 - 702*h - 2. Let z(q) = 7*f(q) - 2*i(q). Find the second derivative of z(n) wrt n.\nAnswer: -5580*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 393 - 585 = 8*o for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.111 (b) -1\/3 (c) 0 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 577583 and 577583 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -288 - -140. Let q = 147.9 + f. Is 34\/5 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 2*f**2 + 1694*f + 118. Give p(-40).\nAnswer: -442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 7 = -6*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/5 or -7838492?\nAnswer: -7838492","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7 or 1556\/255?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 773 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 662 in 5\/7, 0.1, -1.6?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 23, 23, 15, -7, -49, -117?\n\"Answer: -d**3 + 2*d**2 + d + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/58 and -22\/107.\nAnswer: 6206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -21*(-20)\/(-56)*20\/(-25)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1343, 5482, 12381, 22040, 34459, 49638?\n\"Answer: 1380*r**2 - r - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 3:01 AM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 12:04 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 206 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 857.9273 millilitres?\nAnswer: 0.8579273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.018 in 3, -0.5, -0.09, 4, -1\/3, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-3) - (-10)\/3. Solve -g = -h - 2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5\/4 (b) 2 (c) -8\/3297 (d) 8 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16661 and -3.\nAnswer: 49983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 131247 and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55 - 117. Let h = 66 + l. Suppose 0*a + t = a - 67, -2*t + 280 = h*a. What are the prime factors of a?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -54 + 52. Is -6 + (r - -5) + 676 + 0 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -397*x**6 - 4*x**2 + 86*x wrt x.\nAnswer: -47640*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t - 4. Suppose 12 = 44*k - 40*k. Determine w(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 175 and 133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 15318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssn when three letters picked without replacement from msnmmskkik.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003244883 rounded to five dps?\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 29*v**2 + 2*v + 1. What is the hundreds digit of r(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*k - 189*k + 275 = -175 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a + 7*a**2 - 4*a + 8*a.\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -25*s**3 - 5*s - 7. Let r(w) = -13*w**3 - 6*w**2 - 4. Let x(b) = -39*b**3 - 16*b**2 - b - 12. Let d(j) = 8*r(j) - 3*x(j). What is 7*d(t) + 4*g(t)?\nAnswer: -9*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21184*a*d**2*v - 2*a*d*v - 17*a - 38*d**2 + 7697343*v with respect to d.\nAnswer: 42368*a*d*v - 2*a*v - 76*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.012, -5\/21, -3\/7, -0.5, -0.3 in descending order.\nAnswer: 0.012, -5\/21, -0.3, -3\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 9:15 AM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - 0. Let r = 1 + f. Let x be -1 + (-2)\/2 + 7. Solve r = -0*o + x*o - 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5*16\/(-100))\/(4\/10). Suppose -f*i - 3*z = -i - 1532, 0 = -z - 1. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1708026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/(sqrt(60)\/sqrt(432)) + -1 - (-2*sqrt(320) + -5 - sqrt(320) - (1 + sqrt(320))*6))**2.\nAnswer: 1560*sqrt(5) + 30520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*m + 2106 + 707 + 667. What is the highest common divisor of m and 1392?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12068347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3888*y - 554400 = -2272*y for y.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 7*x = 267. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((11110\/330)\/101)\/(-2 - 29\/(-15))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55047164.\nAnswer: 2, 13761791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**3 - 5*m**2 - 2*m + 1. Let f(i) = 7*i**3 - 9*i**2 - 5*i + 1. Determine -2*f(b) + 5*y(b).\nAnswer: b**3 - 7*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1212953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.828166458 to two dps.\nAnswer: -0.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + (0 - -2 - 0). Suppose -2*s - 4 + w = 0. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1828 - -26113. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*c - 12 = -19*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 313 + 41. Suppose o*h - 114 = 155*h. Let p(b) = -b**2 - 5*b + 13. Calculate p(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 3*x**3 - x + 3*x + x**4 - 8*x as z*x**4 + j + f*x + a*x**3 + s*x**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 11*w**3 + w**2 - 1. Let q be g(1). Let u = q + -9. Does 6 divide u - -58 - (-4)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 6*q**2 + q - 2. Let p be x(6). Sort p, 0, 5 in increasing order.\nAnswer: 0, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(425) + 1 + sqrt(85)\/(1*sqrt(5)) + sqrt(17) + (-1*(sqrt(119) - -3*sqrt(119)))\/sqrt(7).\nAnswer: 1 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -111042 + 294549. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5 = 2*h - 0, 0 = 2*h - 4*d + 20. Which is bigger: -0.07 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -1\/8 (b) -2\/9 (c) -44.47 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + (-21)\/9 + 5798\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4*l**2 + 2*l. Let y(k) = 3*k**2. Calculate t(y(c)).\nAnswer: -36*c**4 + 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 308\/29, 0.07, -3?\nAnswer: 308\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/147 in 2\/3, -1, 3\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4*c**3 - c**2 - c + 1. Let f be m(1). Let n be (4\/1)\/(f + -1). Find the second derivative of -n + 2 + q**2 + 2*q wrt q.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -945*z = -942*z. Suppose -5*x + x + 2*n = 0, 5*x - 4*n = z. Solve x = 2*f - p + 4, 5*f + 2 = 2*p - 6 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -29 (b) 1\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -0.2, 1\/7 in ascending order.\nAnswer: -31, -0.2, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*t - 4 - 1)*(-1 - 3*t + 1).\nAnswer: -6*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26940 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(147) + 2 - sqrt(147) - sqrt(147)) + 5 + 2 + (sqrt(147) - (-2 + sqrt(147) + 3)))**2.\nAnswer: -154*sqrt(3) + 268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -57 - 2*j - 50 + 0*j - 99 as n*j + f and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.302 + 0.698. Let w = -1.84 + -0.16. What is the second smallest value in -1\/7, w, q?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102 - -2?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 12:35 AM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 303 - 301. Let u be (-4)\/v - (-7)\/(35\/85). Let s(z) = z**3 + 2*z - 2. Let a be s(2). What is the highest common factor of a and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1179492 to the power of 1\/2, to the nearest integer?\nAnswer: 1086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 12*v**2 - 7*v - 14. Let h = -32 + 45. Calculate the remainder when n(h) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3155879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - u + 149 = 0, -2*a = -u - 46 - 101. Suppose -13*k + 11*k = a. Let g = 37 + k. Solve g*v - 10 = -2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 2*m = 5, -14*d + 15*d + 3*m = -4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 y when four letters picked without replacement from ooyooyooooyooooyoooo?\nAnswer: 64\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m - 5*m**3 + 1 - 6*m + 4*m + 0*m to the form g*m**2 + z*m**3 + x + b*m and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -q**5\/12 + 25*q**4\/6 - 250*q**3\/3 + q**2 - 8*q. Determine z, given that g(z) = 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 758 = t - 3*n, 5274 - 1484 = 5*t - 5*n. Let w = t + -538. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z. Let g(k) = -314359*k**2. Determine h(g(w)).\nAnswer: 943077*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 8*g - 3. Suppose -7748 + 1164 = -4*o - 2*b, -g*o = 3*b - 4938. Let u = 105 + o. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 1111100100?\nAnswer: -1111100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 17*l - 36. Determine g(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7054508 to the nearest integer?\nAnswer: 2656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 0.03 (c) 2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 843 - 499. Suppose r = 5*i + 3*y, -i + 2*y - 140 = -3*i. Is i a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2 - 7*h - h - 13*h. Let l be c(-2). Suppose j + 9 + 3 = -5*s, -4*j + 3*s + l = 0. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 - -45. Find y such that 15*y**2 + 9*y**2 - 34*y**g - 4*y - 2*y**3 + 16*y**4 = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*p - 15. Suppose 12 = p*b - 3*b. Let r = 21 - b. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45609 + 28093 = 37*h - 51062. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 times -7.52451?\nAnswer: 624.53433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 12*z**4 - 147*z**3 - 7416*z**2 + 147819*z - 649740 = 0.\nAnswer: -28, 7, 65\/4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.115 + -15863448028.\nAnswer: -15863448028.115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (378\/(-105) - (12\/5)\/6)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) -0.339 (c) 3 (d) 33 (e) -12\/11 (f) 4 (g) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1189\/2 - -629. Find the common denominator of 231\/220*(-7735)\/(-2457) and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -355 - -535. Suppose -3*a - 2*a + o = 0. Suppose -2*p + 26 + a = 0. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 2:04 AM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 5*u + 1 - 1. Let a(t) be the first derivative of -t**6\/360 + 5*t**3\/3 + 1. Let w(m) be the third derivative of a(m). Determine h(w(p)).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 34351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -k**3 - 2*k**2 - 6*k - 3. Let q(j) = -2*j**2 - 4*j - 5. Let d(s) = 3*b(s) - 4*q(s). Let l = 11 - 8. Calculate d(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2027.1 and 0.1.\nAnswer: -202.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 11:20 PM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 5*x - 22. Suppose -3*q - q + 3*o + 8 = 0, -2*q + 6 = -o. Let d(f) = f**2 - 5*f - 21. Let w(s) = q*d(s) - 4*l(s). Is w(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h - 15. Let o be y(11). Let m = -38 + o. Is 14 a factor of m\/(-90) + (-320)\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 54*j - 24. Let r be h(30). Let k be (r\/(-30))\/((-6)\/(-15)). Round k to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -8*h**2. Let l(m) = 4*m. Let g(c) = -231*c. Let i = 215 - 270. Let z(n) = i*l(n) - g(n). Give p(z(v)).\nAnswer: -968*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2. Let w(y) = -24*y - 5. Determine d(w(j)).\nAnswer: -576*j**2 - 240*j - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -377*i + 14325. Determine g(38).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22824 and 137112.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -12.3, -2 in increasing order.\nAnswer: -12.3, -2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 1) + (-9 - -6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -11889 and -2.271.\nAnswer: -11891.271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 940651.3 litres?\nAnswer: 940651300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -28493 divided by -3228?\nAnswer: 28493\/3228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-18) - (220\/36)\/5. Let w = -33 + 35. Put -2, 13, q, w in increasing order.\nAnswer: -2, q, w, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*h + 5701 + 11825 = 0. Solve -36 = -h*b + 372*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120 (base 5) to base 12\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**2 + 2*t - 3. Let x be z(-5). Let m = x - 121\/2. Let g = -5\/219337 + -14256875\/1316022. Calculate the common denominator of g and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -34, -114\/11, -14?\nAnswer: -114\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**2 + j**2 - 6*j**3 - 11*j**2 + 5*j**3 - 26*j**3 - 8*j**3.\nAnswer: -35*j**3 - 6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-4 + sqrt(80) + 1 + sqrt(80) - sqrt(80))**2 + -2*(0 + sqrt(80)).\nAnswer: -32*sqrt(5) + 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i - 5*b + 30 = -5*i, 2*i + 4*b = 14 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/2 + 1 + 34\/(-4). Let w be (-40)\/(-180) - (-2)\/v. Put w, 5, -3, -2 in descending order.\nAnswer: 5, w, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-5))\/w**(-6\/5))\/(w*w**0*w**(-4))*(w**(2\/7)*w\/w**(2\/17))**(12\/11) assuming w is positive.\nAnswer: w**(75099\/6545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-132)\/(-10) + (-5)\/25. Suppose -17 = -5*c + x. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 29*v**2 + 2*v - 58. Let a be o(29). Let g = 17441162\/905 - 19272. Which is bigger: g or a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.02328 or 16.8?\nAnswer: 16.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7dd8 (base 14) to base 16.\nAnswer: 55ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, -2, -19, -40, -65, -94?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1120 + 20122?\nAnswer: 22012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -1\/2, -7, -2356, 28.4 in ascending order.\nAnswer: -2356, -7, -1\/2, 0.4, 28.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*c - 9*c - 20364 - 8*c.\nAnswer: -c - 20364","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -126 divided by 148\nAnswer: -63\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2392919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((0 + sqrt(128))*5 - sqrt(128))**2*6)*-1 + 1.\nAnswer: -12285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*d - 3, -3*s + 3 = -5*d - 1. Which is the closest to -0.3? (a) -3\/4 (b) d (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 60, 125, 258, 483, 824, 1305?\nAnswer: 1950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-6)*4012\/(-354)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(13)*-4 - (-2 + 3*sqrt(13)).\nAnswer: -15*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*w**3 + 41 - 41.\nAnswer: 14*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v - 6 = 2. Is 18 a factor of ((-26)\/39)\/(v\/804)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171557 smaller than 171505?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 2*o + 2441 - 2501, 18 = 2*k + 2*o for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 p, and 1 j when three letters picked without replacement from {z: 4, g: 3, l: 2, x: 1, p: 1, j: 1}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-14 + 5) - (12 + -3 + 8 + -10)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42223 (base 8) in base 14?\nAnswer: 657d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + (6*(sqrt(128) + sqrt(128) + -1 + -2 + sqrt(128)) - (3 + sqrt(128)*-3*-3)))**2.\nAnswer: -10624 + 2304*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - o = 6, 3*b + 2*o + 1 + 0 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mdddffmmmmdmmmddmdd. Give prob of sequence mf.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, w: 9, g: 5, o: 3}. Give prob of picking 2 w and 1 d.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1 + sqrt(612) + -3)**2 + -3.\nAnswer: -108*sqrt(17) + 690","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uccsgbkkkckkusc. What is prob of picking 1 u and 1 c?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 7 = 4*q, 3*q - 11 = 6*q + 2*p. Let m = 67 - q. Calculate the greatest common factor of 10 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 2091371.\nAnswer: 2\/2091371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**(1\/5)*x)\/x)\/x*x)**(-5\/14))**(2\/39) assuming x is positive.\nAnswer: x**(-1\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 87750.\nAnswer: -11\/87750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 5*g - 10 - 11, -2*w - 3*g = 5 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.12 (b) 0.8 (c) 1\/2 (d) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 7*r - 3. Give o(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 51615 and -0.6.\nAnswer: -30969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pnpn. Give prob of picking 1 n and 1 p.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 15*y**2 - 7 - y**2 - 17*y + 5*y - y**3 - 4. What is the least common multiple of 10 and t(13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r + 1. Let y be s(-5). Let o(q) = 2*q**2 + 6*q + 4. What is the tens digit of o(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 0. Let z = 3 - -1. What is the remainder when (-12)\/((g*1)\/3) is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d**2 - 6*d + 6. Let u(x) = -3*x - 2*x - 5*x + 3*x + 4*x**2 + 7. Suppose -5*i - 5*a + 631 - 581 = 0, 2*i - a - 5 = 0. What is i*u(k) - 6*s(k)?\nAnswer: 2*k**2 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.51 - 10.1. Let g = -454 + 437. Let i = g - l. What is i rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((435\/348)\/((-3)\/(-4)))\/(-1)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38 and 13034.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 3*q**2 + 4*q - 1. Let i be f(-4). Let l = 4 - i. Solve -28 = -z - l*j - 9, 3*z - 5 = -2*j for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h**20\/h)\/h))\/h*h**(-7) assuming h is positive.\nAnswer: h**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11.024 - -11. Round b to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.086672 and -884.\nAnswer: -76.618048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*v - 3*f, 0 = 930*v - 926*v + 2*f. Let o(n) = 2*n + 8. Let k(a) = a + 4. Let h(i) = -7*k(i) + 4*o(i). Calculate h(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1481*g - 424*g - 113*g + 3)*(4 - 4 + g)*(-6 + 0 + 8) to the form n*g + f*g**2 + h and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -618 + 1133. Suppose 1136 = p + 5*x, 5*p - 5111 = 2*x + z. Let c be 8\/(-12) + p\/6. What is the highest common divisor of c and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -867 - 885 = -3*w. Suppose 0*i + w = 4*i. What is the common denominator of 85\/6 and 3\/6 - i\/44?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 4. Let t(c) = -12*c**3 + 756*c**2 - 3*c + 185. Let k be t(63). Sort k, n, -81 in increasing order.\nAnswer: -81, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 115802901?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -24*i + 23*i + 6, i + 18 = -5*z for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12672 = -182*c + 191*c. Is 22 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 4*c + 25 = 0, 23*c = -4*r + 19*c - 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -553 (base 6) to base 13.\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -360, -250, -66, 192, 524, 930?\n\"Answer: 37*l**2 - l - 396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -b - 2. Put b, 2, 3 in ascending order.\nAnswer: b, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (20\/15)\/(2\/6). Let s = 4 - x. Which is the nearest to 2\/7? (a) s (b) 0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 134 + -6. Let w = -22 + d. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**3 + 9*w**3 + 0*w**3 + w**3.\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -1\/3 (c) -8\/7 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 925195250 to the nearest integer?\nAnswer: 30417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rqqqqqqrqqq. Give prob of sequence rqr.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2221 (base 3) to base 8.\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -9841*t - 9832*t + 65*t**3 + 19672*t - 3*t**2 + 1 as o*t**2 + w*t**3 + d*t + f and give w.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-960)\/3456*((-168)\/35 - -2)?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.68231 millimeters to centimeters.\nAnswer: 4.968231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 17 = z + 6*y, 5*z + 3*y = 19. Solve z*n = 5*k - 3, k + k = -2*n + 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*u - 2934 = -4716 for u.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80, 159, 238, 317?\nAnswer: 396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4*(-1)\/(-8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - m**2 - 3*m)*(9*m**3 + 3*m**3 - 5*m**3 + (-3*m**2 - m**2 + 2*m**2)*(4*m - 3*m + 0*m) - 1 - m**3 + 1 - 7*m**3 + 2*m**3 - 3*m**3).\nAnswer: 4*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 t when two letters picked without replacement from {j: 17, t: 2}?\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 5*i**3 + 225*i**2 + 2830*i + 6600 = 0.\nAnswer: -22, -20, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 214 minutes after 2:29 PM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 11:53 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/247, 16.5, 4, 5, -0.1, -804 in increasing order.\nAnswer: -804, -0.1, -2\/247, 4, 5, 16.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 = -2*b - 41. Let o = b - 24. What is the least common multiple of o and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18602 - 10*m**3 - 33826 + 15224.\nAnswer: -10*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 n, and 2 i when four letters picked without replacement from ncjdiiinijj?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1382536\/9 less than -153614?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f**2 + 12*f - 11. Let m be k(-6). Solve -b = -4*l + 21, -3*b - m = 2*b for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 + 110*u - 3009.\nAnswer: -(u - 59)*(u - 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 250 - 248. Solve 2*u + 8 = d for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 908.8955nm?\nAnswer: 0.0000009088955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 1. Suppose w - d*w = 0. Suppose -2*u + 5*u - 201 = w. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*q - 284 = -23*q + 134 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1767, 1930, 2169, 2490, 2899, 3402, 4005?\nAnswer: 4714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -991368, -1982760, -2974152, -3965544, -4956936?\n\"Answer: -991392*z + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 634580 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -22*u**2. Let d(z) = 1263285*z. Give t(d(h)).\nAnswer: -35109557806950*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 980 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 6*g**2 + 2*g + 2. Let k be ((-3)\/(-9))\/(1\/18). Let f be r(k). Solve 4*d + 4 = 2*x, -2*d = -2*x - 7*d - f for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337435101167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1018 and 442.\nAnswer: 224978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (25744 + -1)*(7 + 12933\/81). Round p to the nearest 10000.\nAnswer: 4290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12434760?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 336?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - 2. Let l = 3 - 2. Let d = 0.12 - -4.88. Which is the closest to w? (a) d (b) -2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59 + 88. What is the remainder when a is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1911.6 + -1847.284. Let h = p + -65. What is h rounded to 2 dps?\nAnswer: -0.68","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 287, 670, 1053, 1436?\nAnswer: 1819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.22, 422.6, -1\/3, 0.07 in decreasing order.\nAnswer: 422.6, 0.07, -0.22, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -20*y**3 - 513*y**2 + 205*y + 599. Give m(-26).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 111079 and 7119?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16867*m - 27194*m + 13737*m - 2 + m**3 - 2547*m**5 wrt m?\nAnswer: -50940*m**3 + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -q**2 - 1\/20*q**5 + 1\/3*q**3 + 0 - 5*q + 1\/6*q**4. Suppose 2*k - 5 = 2*f - 3*f, -k = 4*f + 1. What is d(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b2 (base 14) to base 11.\nAnswer: -2a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -1671*l**3\/2 - 3057*l. Let u(w) = w**2. Give s(u(z)).\nAnswer: -5013*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 - 23. Let d = 93 + r. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -265147 + 201511599\/760. Calculate the common denominator of t and 107\/60.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3 + 16872*q**2 + 218895*q + 370326.\nAnswer: 3*(q + 2)*(q + 11)*(q + 5611)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1410*x**5 + 226*x**5 - 6*x + 2974 + 368*x**5 + 5*x wrt x.\nAnswer: -16320*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1303\/9 + -145. Suppose -24 + 8 = 4*w. Which is the closest to -0.1? (a) w (b) o (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 14, c: 1, i: 1}. Give prob of sequence cji.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rhj. What is prob of sequence jr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.959 and -3357.\nAnswer: -3219.363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.019713 * 13.\nAnswer: 0.256269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -7*x**5\/30 - x**3\/6 - 8*x**2. Let v be (4 + 33\/(-9))*9. Suppose -3 = v*j - 0. Calculate b(j).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21984247 to the power of 1\/2, to the nearest integer?\nAnswer: 4689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z + 1. Let i(k) = -1. Suppose 6*g + 6 + 6 = 0. Calculate g*i(b) - a(b).\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2*v + 2*v - 92, 0 = -4*r - 3*v + 125. Suppose r*u = 27*u + 170. What is the remainder when u is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -10*n + 3. Give t(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 3*n**3 - 8700*n**2 - 61029*n - 52326 = 0.\nAnswer: -6, -1, 2907","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -5*o + 8. Let u(s) = 0 - s**o + 3 + s**3 + 0*s + 2 + s. Let d be u(0). Solve 3*v + 6 = 3*p, p + d = 4*v + 16 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 + a95?\nAnswer: a9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001193 rounded to 7 dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b + 1. Suppose 10*g = -418 + 478. Calculate n(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1429389648 a multiple of 1104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yuofwoy. Give prob of sequence oo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2195858853 to the power of 1\/5, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1118 + 0.3118. Which is the closest to 0? (a) s (b) -2 (c) -3 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of d**4\/4 - 7*d**3 + 11*d**2 - 36*d - 15. Let i be l(20). Differentiate -21*m**4 + 0 + 24 + 2 + 5*m**i with respect to m.\nAnswer: -64*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 10:54 PM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/(-9))\/(6\/846) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 127404?\nAnswer: -50961.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -0*r + 3. Let t = 46 + -44. Let m(q) = -10*q**2 - r*q**2 + 5*q**t. Let d(l) = -2*l**2. Determine m(d(y)).\nAnswer: -32*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 5*l + 4. Suppose 6 = -2*h + h. Let a(z) = -z**2 + 6*z - 5. Let x(f) = h*v(f) - 5*a(f). Differentiate x(t) with respect to t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -859 - -866. Let m = -6 - -8. What is the smallest common multiple of m and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 500, 445, 390, 335, 280, 225?\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qnnz. What is prob of picking 1 z and 1 n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7068 + 7070. Solve 3*w = 5*i - 30 - 10, -25 = r*w - 3*i for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 3*a + 591000. What is a rounded to the nearest 10000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 7*h - 6. Suppose -3*v + 2*s = -4, 2*v - h*s + 4 = s. Let x = 13 - v. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + x. Let s be k(2). Solve -2*g - s = m, -7*g = 5*m - 4*g + 16 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.116592 rounded to two decimal places?\nAnswer: -4.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 488857 - 687847. Round t to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (38*147\/1596)\/((-1)\/(-2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -446, 4, 1, 24, -2 in decreasing order.\nAnswer: 24, 4, 1, -2, -3, -446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2460, -1482, -504, 474, 1452?\n\"Answer: 978*c - 3438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -o**8\/224 - 16*o**7\/35 - 361*o**6\/20 - 326*o**5 - 2300*o**4 - 8000*o**3 + 2*o**2 + 74*o. Let h(d) = 0. What is d?\nAnswer: -20, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218 + 0*p + 25 - 245 + 0*p**3 + 0*p - p**3.\nAnswer: -p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-141*j**2 - 32*j**2 - 101*j**2)*(-3 - 4 + 3).\nAnswer: 1096*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p - 3. Let u be k(2). Suppose 26 = 5*g + u. Does 2 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 5 + 15 + 2*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -4. Let u = 7 + m. Let z = 2.044 - 0.044. What is the third biggest value in -0.5, u, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y**4 + 3*y - 3*y + 2*y - 1)*(191 - 103 + 190) to the form j*y**2 + q + a*y + p*y**4 + d*y**3 and give a.\nAnswer: 556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -2. Suppose -2*z + 2*f - 76 - 10 = 0, -4*f = 4*z + 140. Let b be z\/63 - (-2)\/6. Which is bigger: b or k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 929664 and 53223264.\nAnswer: 212893056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**4 + 7*j**3 + 60*j + 69*j - 6*j**3 + 67*j + 2*j**2 as z + h*j**2 + g*j**4 + k*j + v*j**3 and give k.\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16\/15 - 26\/15. Let x = 2.6 + -2.9. Let n = 5 + -27\/5. Which is the nearest to n? (a) x (b) -3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -3\/2, 2066.1, -1\/3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 3\/2, 0.0367 in decreasing order.\nAnswer: 3, 3\/2, 0.0367, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2174986745 to the nearest integer?\nAnswer: 1296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7673\/28 - 274. Let m = t - -11\/28. Sort 5, m, 4, 2\/13 in ascending order.\nAnswer: 2\/13, m, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1017*f**2*y**3 + 12*f**2*y**2 - 3*f**2 + 2*y**3 + 6 wrt y?\nAnswer: 6102*f**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 != -26\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401 is divided by 78.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-985 + 380*m + 985 - 23*m)*(4*m - 3*m + 8*m).\nAnswer: 3213*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.86 and 5?\nAnswer: -34.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -998 - -998.7. Put 0.08, n, 5 in increasing order.\nAnswer: 0.08, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -56297.741\nAnswer: -112595.482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11220445?\nAnswer: 5, 149, 15061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 9 - 29 = 0. What is the greatest common divisor of r and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1341 and 12.\nAnswer: 5364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (185 - 20 + 14)*(-5*a + 3*a + 0*a) + 3*a - 5*a + a.\nAnswer: -359*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (763330\/240)\/(1\/2). Suppose 19058 = 3*w + 2*j, -w - 3*w - 4*j = -25412. Let y = w - q. Find the common denominator of y and -83\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f + 41 = 821. Let b = f - -150. Calculate the remainder when b is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -155adba?\nAnswer: 155adbc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eighteen fifths of a minute?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 11\/4 of a millennium?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -38190373, -76380748, -114571123, -152761498, -190951873, -229142248?\n\"Answer: -38190375*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 61 = -2*i, -i - 3*i = 4*p - 88. Suppose -c - p = -4*c. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = 24654*q - 24650*q - 2*z, 0 = -3*q + 3*q + 4*z + 8 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 8594, 0.2 in decreasing order.\nAnswer: 8594, 0.2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(10)*-1)\/sqrt(5))**2 + (sqrt(2)*1*5 - sqrt(2)) + 3.\nAnswer: -3 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1)\/b**(-1\/5))\/(b**7*b**(-1\/4)\/b) assuming b is positive.\nAnswer: b**(-131\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5212 is divided by 744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10\/97 or -1?\nAnswer: -10\/97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*s + 80 = -285*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(637) + -1 + sqrt(637) + 2 - (sqrt(637) - -3*sqrt(637)*2)**2.\nAnswer: -31212 + 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*f**5 + 13648*f**2 - 81773*f?\nAnswer: 60*f**3 + 27296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -4. Suppose 6*z - k = 2*z. Solve 3*y = -n + 1, 5*n - n + 6 = -z*y for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2 - 0. Let w = 2 + a. Factor 3*d**2 + 0*d**w - d**5 - d**2 - d**4 - 1 - d + 2*d**3.\nAnswer: -(d - 1)**2*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1398182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {c: 1, i: 6, e: 2, l: 3, f: 3, j: 4}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -3*g - 18, 2*g - 7 = 2*q + q. Let r be 3\/(-9)*6\/g. Suppose 0 = -3*a - r*a + 45. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 636*j - 1281*j + 679*j. Let r(k) = -2*k**2 - 3*k - 3. Let h(w) = -w**2 - 2*w - 2. Let c(n) = 3*h(n) - 2*r(n). Calculate x(c(g)).\nAnswer: 34*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 476 and 340.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 2*c + 9, -5*c - 3*y = 20 - 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -757.8877 - -758. What is h rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(12) + 2*1*sqrt(12)) - (sqrt(3) + 0 + sqrt(75) - (sqrt(66)\/sqrt(2))\/sqrt(11)).\nAnswer: -14*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51 + 198. Let t be (10 - k\/14)*2*-1. Sort 139, -4, t in increasing order.\nAnswer: -4, t, 139","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 2*d - 121, -5*d = 4*h - 71 + 81 + 67 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o - 10. Let n be h(8). Suppose -n + 1 = 5*i. Is 91 - ((1 - i) + 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -2*z**3 + 135*z. Let p(w) = -2*w**2 - 291*w. Give p(u(g)).\nAnswer: -288*g**2 + 3492*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 9 = -15. Suppose 5*s = 7*s - 16. Let c be (-2)\/s + (-66)\/(-8). Calculate the highest common factor of t and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/((-6)\/7)*-3. Let w(q) = g*q - 5*q - 13*q - 7*q - 2. What are the prime factors of w(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q. Let n(a) = -7*a + 524. Calculate n(j) + p(j).\nAnswer: -5*j + 524","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**3 + 0*k**2 + 0*k**2)*(2 - 1 + 0 + (0 + 1 - 2)*(-1 - 2 + 5) + 0 - 3 + 0 + (-6 + 0 + 0)*(-1 + 0 - 1)) + 3*k**3 - 4*k**3 + 0*k**3.\nAnswer: -9*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 921*x - 707*x - 428 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k - 10 = 2*b - 4*k, 3*b + 3*k = -6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2 + 2*b. Let z be d(-2). What is the second derivative of z*v**4 + v**3 - v**3 - v - 2*v**4 wrt v?\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 5, 31, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 8:51 PM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 <= -71968?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 17642089 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 598.\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/14 + 3\/7. Which is the nearest to o? (a) -3\/5 (b) -0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 + -31.037. What is d rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b*w**3 + 2*b - 2*w**4 - 6*w**2 + 16*w wrt w?\nAnswer: 12*b*w - 24*w**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -19.51 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0.4, 9, -5, -0.3, 4, -3\/172, 5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 115*h**3 + h**2 - 36.\nAnswer: 690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + -2. Let y = 9 + f. Suppose -10 = -3*r + 2*c + 20, 0 = y*c + 12. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36041?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 301643441*l - 266901846?\nAnswer: 301643441","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2*d + 7. Let b = -4 - d. Solve 4*i = 3*i - b for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 h when two letters picked without replacement from {x: 5, e: 1, h: 5, p: 7}.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooor when four letters picked without replacement from {r: 9, o: 7}?\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5259620 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1.314445 times -254\nAnswer: 333.86903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 3090?\nAnswer: 33990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 (base 6) in base 14?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-5))\/(8\/(-10))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 558 + -5?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 152.2 - 104. Let k = -44.2 + u. Which is the closest to 1\/3? (a) -44 (b) 0 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/15, -0.4, 2\/19 in descending order.\nAnswer: 2\/19, -4\/15, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l. Let r be p(-6). Let j = r - -9. Suppose 16 = 4*d, 0*t - 222 = -2*t - j*d. What is the greatest common factor of 15 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/168 and -163\/6489810.\nAnswer: 181714680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(-2 + 7 + 1)*(3*h - 7*h - 2 + 0).\nAnswer: 48*h + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1699 + 1703. Let k(s) = -s + 20. What is the remainder when k(6) is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 452751?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 630894993?\nAnswer: 3, 6277, 33503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.37865 to two decimal places.\nAnswer: -15.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 - 29. Let i(w) = -2 - 5*w + 4 + 4*w. Calculate i(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 1. Let y be -2*(-7)\/(-28)*-14 - 5. Let c(w) be the first derivative of -2\/3*w**3 + 0*w**y + w + 1. What is -4*c(l) + 4*n(l)?\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 8:31 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*x - 4*x. Suppose -x*i + 31 + 80 = 0. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u - u - 7*u - 17*u**2. Let b(y) = -y**2 + 3*y**2 + 0*y - 5*y - 10*y**2. Let d(x) = 13*b(x) - 6*v(x). What is the second derivative of d(m) wrt m?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 17 - 9. Suppose 0 = -4*m - 0 - q. Let i be (4 - 3)\/(m\/(-10) + 0). Solve 0 = i*w + 18 - 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/4*18\/54*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**2*n**2 - 2*f**2 - 52*f*n**2 - 6*f*n - 2*n**3 + 13*n wrt n?\nAnswer: 4*f**2 - 104*f - 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -13222120200 (base 4) to base 3\nAnswer: -10210001021220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -246.584 rounded to zero dps?\nAnswer: -247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/17 (b) -2 (c) -2\/15 (d) 789\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48\/23 + 813\/92. Calculate the common denominator of b and (-3)\/(-4)*1 - 19701\/(-3980).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bi when two letters picked without replacement from {b: 2, i: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 21*q**2 - 6*q - 72. Let l be v(-21). Solve -48 = 2*t - l for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*o**4\/2 + 2120645*o**3\/2 - 18026005*o**2 + 84829040*o - 67863360 = 0. Calculate o.\nAnswer: -424146, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1592 + 52096 + 221756 = 4*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 3*u + 16. Let c be k(2). Solve 5*v - 3 = c*l, 2*l + 0 = 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 213808 or 294?\nAnswer: 294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 7042 * -0.3\nAnswer: -2112.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 103839536 and 211718.\nAnswer: 1349913968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/3*(3 - 12). Let b = y - -12. Let m(a) = a**3 - 9*a**2 + 3*a + 6. What is the tens digit of m(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 6*i - 1. Give c(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from powoyppkykwozwo. What is prob of sequence oy?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/1 + 122 + -122)\/(16\/12). Let l(t) be the first derivative of 15 + 0*t**3 + c*t + 3\/4*t**4 + 0*t**2. Find the first derivative of l(w) wrt w.\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 175 + -12. Let u(d) = 5*d**2 + 5*d - 7. Let n be u(5). Suppose -l = -5*v - g, 5*g - n = -4*v - 0*v. Is v a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -10*d + 52*d**2 - 50*d**2 + 7 - 3*d**3 + 6 + 4*d**3. What is the remainder when 62 is divided by x(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1474 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -115 + -18. Let z = 97 - x. Let c = 328 - z. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g - 24. Let f = 248 - 233. Let q be i(f). Which is smaller: q or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -433715*m**2 + 160480*m.\nAnswer: -867430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12929b2 - -18?\nAnswer: -1292996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pb when two letters picked without replacement from {t: 3, a: 6, b: 1, p: 3}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*x**4 - x**3 - x - 520*x**2 + 520*x**2 to the form y*x + f + s*x**2 + g*x**3 + p*x**4 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*b - 40*b - 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5*h - 2 - 62 = 0, -4*z = -h - 151. Solve -69 = -z*b - 342 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sskzzzsshhshzsg. What is prob of picking 2 h, 1 s, and 1 g?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((10\/(-4))\/5*15)\/((-12)\/24)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -190, -187, -184, -181, -178?\n\"Answer: 3*m - 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -5*m**2 - 3*m. Let y(z) be the third derivative of 3*z**5\/20 + 5*z**4\/24 - 2*z**2 + 132*z. Let s = -85 + 88. Calculate s*y(p) + 5*x(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 113091036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (0 + -4 + -3 - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -0.01, 2\/11, 155, -29, -3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, 9, -2\/15, 12, -12\/11, -5 in decreasing order.\nAnswer: 12, 9, -2\/15, -12\/11, -5\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8083\/42 - 1311\/7. Let f = 16\/8265 + 104674\/8265. Calculate the common denominator of f and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/8)\/((-4)\/56).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 p when three letters picked without replacement from pppphpppphhphpphpp?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -271800.7703 + 251330.463. Let i = 20458.2 + d. Let p = 12.1 + i. What is p rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tf when two letters picked without replacement from {f: 2, o: 7, t: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -10 - (0 + 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jgggjjgjjggjgggggg. Give prob of picking 2 j.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a**3 - 17*a**2 + 9*a - 8. Let f = 140 + -153. Is t(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((4*sqrt(70)*-2)\/sqrt(10))**2.\nAnswer: -1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 145 = -n, -2*h = -43*n + 38*n - 75. What is the remainder when 122 is divided by h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 5) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 65479 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: Calculate -48 + 59 + (-7 - -2) - (11 - -3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (9 - (-3 - -7)) - 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 11598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.4, -0.06, 4\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 100\/70 + 120\/(-84). Factor -22\/5*c**3 + k*c - 2*c**5 - 6\/5*c**2 + 0 - 26\/5*c**4.\nAnswer: -2*c**2*(c + 1)**2*(5*c + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 72 = -j. Let r = j + -193\/8. What is the common denominator of 612\/(-8)*1\/6 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -3*f**4\/8 + 23*f**3\/6 - 7*f**2 + 52. Determine b(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -832340 divided by -416170?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53643.18l?\nAnswer: 53643180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 438*16512.\nAnswer: 7232256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 266496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**3 + 12*k**2 - 22*k + 14. What is n(4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -80f9b4 (base 16) to base 3\nAnswer: -120220102200202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 33*m - 1. What are the prime factors of i(25)?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xt when two letters picked without replacement from ehooxotohoeteoooeet.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of s + 1. Let q(t) = -t + 7. Let w be (-22)\/209 - (-144)\/(-76). Determine w*q(m) + 14*l(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 605951796?\nAnswer: 2, 3, 61, 827803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15212*a - 293 - 3757 = -14987*a for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 - 46 = -o, 3*o + 36 = 3*l. Solve 4*h - f + l + 5 = 0, 0 = -3*h + f - 14 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 + 20*d**2 - 19*d**2 + 2*d**2 - 3*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.002*0.04\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*y + 386 = -140534. What is the thousands digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -0 - 2. Let a be (4\/(2 + -4))\/s. Suppose -4*x = b + 10 - 47, -41 = -a*x - 5*b. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -16. Let k = u - -5. Let c = -66 + 76. Calculate the highest common divisor of k and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5030 - -5032. Solve 0 = 4*a - k - 13, a + v*k = -18 + 19 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 3:57 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -58*i**2*u**2 - 1571*i**2 - 150821*u**2 wrt i.\nAnswer: -116*i*u**2 - 3142*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.6938 - -7.7. Round i to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-18))\/(1\/9). Let l = 13 + r. Is l a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28373077*y**2 - 11090282*y + 1 wrt y?\nAnswer: 56746154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3271 - -3271.5. Which is the nearest to 0? (a) -4\/5 (b) l (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 8*t - 20, 0 = -5*c + 4*t - 4. Let h be (-1 - -3)\/(c - -6). Solve 0 = -a - h - 3 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -j**6\/4 - j**5\/20 + j**4\/8 - j**3\/2 + 7355*j**2. Let d(v) = 31*v**3 + 4*v**2 - 4*v + 4. Give 3*d(x) + 4*w(x).\nAnswer: -27*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3166 (base 10) to base 13.\nAnswer: 1597","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 418 + -403. Calculate the remainder when 27 is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 9*g**2 - 11*g + 47. Suppose 7*v - 15 = 55. Let f be y(v). What is the highest common divisor of 74 and f?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.03 + -0.03. Let p be 180\/135 + 32\/3. Which is bigger: d or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - k - 16 = -77, 0 = -4*k + 20. Let b be -3 - ((-7)\/p + 225\/(-6)). Solve -32*i - 3 = -b*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -7*m**2. Let b(y) = y**3 + 12*y**2 - 12*y + 16. Let d be b(-13). Suppose 0 = d*u - 5 - 1. Let q(v) = -4*v**u + v**2 + v**2 - v**2. What is h(q(w))?\nAnswer: -63*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away -0.265683?\nAnswer: 0.165683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + m**3 - 21 - 4*m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 5*q**2 + 2*q - 5. Let s be i(-4). Let k = -145.2 - -216.9. Let n = k + -71. What is the third smallest value in n, 0, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 9*r**2 + r - 6. Let z be o(9). Let m(s) = s**2 - 2*s - 46. Let n be m(8). Solve -z = -t + n*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4)*q*q**(-5)*(q*q**(2\/5))\/(q*q**(1\/9)))\/((q**(-10)\/q)\/(q\/q**10))**(-21) assuming q is positive.\nAnswer: q**(-2237\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 369713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 302\/6 - 4\/12. Suppose 8*m - r = 3*m. Suppose m = 3*w - 14. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/607 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27958?\nAnswer: 2, 7, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 96*t**2 + 1670*t - 499. Calculate h(111).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -2*m - 23 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7881131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-10)\/y)\/(y\/(y**6\/y))*(y**(-1\/4))**(-45))**(2\/21))**(4\/23) assuming y is positive.\nAnswer: y**(34\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*c*o*r*x - 8*c*r**3*x + 10*c*r**2 - 2*c + 3*o*x - 2*o - r**3 wrt x?\nAnswer: 2*c*o*r - 8*c*r**3 + 3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17271 and 1526346.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 89*c**5 + c + 37 wrt c?\nAnswer: 1780*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.8 + -2. Let t(i) = -i**2 + 9*i - 3. Let w(l) = l - 1. Let r(x) = t(x) - 4*w(x). Let q be r(6). Sort -3, z, q in ascending order.\nAnswer: q, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 5)*(0*x**2 + 0*x**2 - x**3) - 19*x**3 - 22*x**3 - x**3 + (-x - 3*x + 3*x)*(-2 - 2*x**2 + 2).\nAnswer: -39*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26.952 - 0.048. Let v = f + -44. Let a = 70.51 + v. Is a at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/4, -7\/6, 669, -4.\nAnswer: -4, -7\/6, -1\/4, 0, 669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -64.60858 rounded to 2 decimal places?\nAnswer: -64.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1810 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20\/60 + 11\/3. Solve 4*k - 3*m + 8 = -24, -4 = 4*k + r*m for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -4.894 (c) 1\/2 (d) -1\/9 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 676.80798 + 0.09202. Let z = -677 + u. Let o = 13\/4 + -4. Which is the nearest to 1\/2? (a) o (b) z (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -231095\/41 or -5635?\nAnswer: -5635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of 1\/15*p**6 + 1\/5*p**5 + 0*p**4 - 2\/3*p**3 + 3*p - p**2 + 0. Determine t, given that j(t) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.34 + -9.54. What is the nearest to -1\/3 in l, 7\/5, 10\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 123 - 76. Let y(h) = -h**2 + 7*h + 4. What is the remainder when w is divided by y(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*r - 5*d, -3*d = -d - 8. Let o(x) = x**3 - 294*x**2 + 39*x - 11471. Let j be o(294). Let f = 8 + -5. Sort j, r, f.\nAnswer: j, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -6*c**2 + 4686*c - 104626. Determine i(23).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2489*r - 2314*r - 5950 = 0 for r.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108439 - 25031239.\nAnswer: -25139678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 10, c: 10}. What is prob of picking 1 u and 2 c?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**4 + 4*l**2.\nAnswer: -4*l**2*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**4 + 10*b**3 - 12*b**2 - 10*b + 11 = 0. Calculate b.\nAnswer: -11, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p + 2*p - 3*p + (-p - 3*p + 3*p)*(6 - 3 - 4))*(-1 - 2 + 10) to the form t*p + k and give t.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 8*m**2 - 3*m + 11. What are the prime factors of j(4)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 209 and 3040?\nAnswer: 33440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2346\/(-3060) + (-3)\/(-5).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, j: 1, e: 1}. Give prob of sequence ej.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(1\/4)))**21*a**(-1\/3)\/a**(-1\/12)*a*a**(2\/15)\/a*a**5*((a\/(a\/((a\/((a*a**4)\/a))\/a)))\/a)\/(a\/a**(-1\/2)) assuming a is positive.\nAnswer: a**(109\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*r + 2*i - 12 = 0, 4*r + 4*i = 0. Suppose -3*t = 4*m + 40, 0*t = t + m + 15. What is the smallest common multiple of 4\/(t\/(-15)) - r and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 4:08 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**2*i**3*o - 48*f**2*i**2*o - 990*f**2 - 10*f*i**3*o + 6*f*i**3 + f*o + 81769*i**2*o wrt f?\nAnswer: -2*i**3*o - 96*i**2*o - 1980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 2, o: 2, e: 2, v: 2, p: 1, h: 3}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 344.771 - -0.729. Let l = 315.69 - y. Let z = l + 30. What is z rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 141301 (base 5) to base 7.\nAnswer: 22662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/7, 0.089, -4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -889812 rounded to the nearest ten thousand?\nAnswer: -890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -57979 (base 12) to base 10\nAnswer: -117165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, k: 1, a: 2}. Give prob of picking 1 v and 1 k.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/((-10800)\/60))\/((-1004)\/(-24)).\nAnswer: -2\/251","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = s + 2*s - q, 4*s - 4*q = 24. Let h be -3*s\/(2 - 3). Suppose -23*y - 3*y**4 - 26*y**2 - 3*y**3 - 8 - y - h*y**3 + y**4 = 0. Calculate y.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**2 - o**3 - 2*o**2 + (27*o - 27*o + 21*o**2)*(3*o - 3*o - o) - 9*o**3 - 4*o**3 - 3*o**3 to the form d*o + z + n*o**3 + m*o**2 and give n.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6134*n**5 + 5467*n.\nAnswer: 122680*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -y**5\/60 - y**4\/12 + 107*y**3\/6 + 352*y**2. Suppose -2*q + 6 = q. What is the lowest common multiple of q and k(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 5:21 AM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-3\/8)*r)\/(r**15\/r)*((((r*r**(-12)*r)\/r)\/r)\/r)**(6\/11) assuming r is positive.\nAnswer: r**(-1713\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38.72 + -0.72. Let f = b + -26. Let p = 12.28 - f. What is p rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 6*l - 10. Let u(q) = -15*q**2 - 2*q + 3. Let n be u(1). Let t(p) be the second derivative of p**3\/6 - p**2 + 6*p. Determine n*t(v) + 3*a(v).\nAnswer: 4*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0124061 rounded to four decimal places?\nAnswer: -0.0124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*g**5\/13 + 4594*g**4\/13 + 156684*g**3\/13 + 1458560*g**2\/13 - 20800*g = 0.\nAnswer: -169, -20, 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*x**3 + 23 - 44 + 21.\nAnswer: -40*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 0.099\nAnswer: 0.0198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v = -20*v - 759. Let u = 488 + v. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25965721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 + -59. Which is smaller: 1\/2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 6:15 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -292 + 290. Let y(i) = -i**2 - i + 89. Let h be y(-10). Put -3, f, 3, h in increasing order.\nAnswer: -3, f, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*x - 949 = -295, -2*x = -v - 126. Let d = v - -170. What is the remainder when 41 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/1*(-108)\/(-10). Let d = 1\/1168 + 20431\/10512. Find the common denominator of d and (-10)\/(-15) + (-46)\/o.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 4*l**2 - 4*l - 3. Give q(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/9 + (-33)\/9. Let f be -1 - (-2)\/t*-34. Let v = 23 - f. Calculate the remainder when v is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256*x + 1062 = 259*x. Suppose -x = -2*q + 842. What are the prime factors of q?\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34.9507 + 0.0493. Let w = -34.96448 + i. What is w rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**5\/60 + 2*s**4\/3 + 25*s**3\/6 + 15*s**2. Let n be q(-14). Is -1 - n\/((-9)\/(-1338)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -51.\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/19290 and 107\/1935430.\nAnswer: 5806290","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q + 9. Let p be w(-6). Let m be (-49)\/(-3) - 26\/(-39). Suppose 5*u - 137 = p*h, 4*h + m = 4*u - 99. Solve -3*g - 1 = 5*d - 17, 5*d = u for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8737\/102 + 515\/6. Let r be ((-2)\/(-3))\/(1*51\/(-9)). Is g less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((-6*sqrt(26)\/sqrt(2) + -3)*-1)**2 + sqrt(91)\/sqrt(7) + -5 + ((sqrt(52)*2)\/sqrt(4))**2).\nAnswer: -1048 - 74*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j = 15*j - 3. Let g be (j + 30)*(30 - 23). Suppose -7*x - 3297 = -g. What is x rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 1. Let m be w(1). Let b(u) = -u - 8. Let h be b(-11). Suppose 0 = -a - 0*a. Sort a, m, h.\nAnswer: m, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 7. Let u = -4 + l. Solve u = 2*n - 3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6 - 26)*(290\/8)\/(-5). Suppose 3*g = g + 6. Suppose 0 = -w - 4*y + 40 + 14, g*w - r = 2*y. What is the remainder when w is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 78 + -307. Let u = r + 233. Solve -u*m + 4 = 2*q, 0*m - 11 = -m - 3*q for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/12*-6*5038\/(-916)*10\/11.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -76, -97, -96, -67, -4?\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 180 by 45.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1382491 to the power of 1\/3, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(18)\/sqrt(3)) + sqrt(2))**2*-5.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 9 (c) 92 (d) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 262384488 and 240?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34910379337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1115 - 1124. Let n be -5 - (-19 + (-81)\/m). Suppose 0*l**4 + 0 + 6\/5*l**3 + 0*l + 4\/5*l**2 - 2\/5*l**n = 0. What is l?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d + 8*d - 3*d + 2*d - d - 4*d + (2*d - 3*d + 3*d)*(-10 + 0 - 19) - 5 - 2*d - 5 + 8 to s + j*d and give j.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7393 - -7389. Let r be (-2*6)\/4 + (0 - -4). Put j, r, -12 in decreasing order.\nAnswer: r, j, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -294933*b + 297242*b + 102 - 102.\nAnswer: 2309*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 410 = -5*b + 4985, -5*b = 2*v - 2161. What is the smallest common multiple of v and 4?\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2))**(-3\/31)*(((f\/(f*(f\/f**(1\/3))\/f*f*f))\/f)\/f)**(-32) assuming f is positive.\nAnswer: f**(10930\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 64 (c) 0.18 (d) -0.5 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 20 = -2*x. What is the units digit of x + 1\/(3\/138)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 15*n**2 + 18*n. Suppose -4*u = -o, -4*o = u - 0*o - 17. Suppose 0 = t - 0*t - 18. Let f(b) = -b**2 - b. What is t*f(i) + u*y(i)?\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -211*d**5\/5 + 27*d**2\/2 + d - 22. What is the second derivative of s(f) wrt f?\nAnswer: -2532*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1292084161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -52354 (base 7) to base 13\nAnswer: -5b27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4b7 (base 12) in base 4?\nAnswer: -23023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35*m**4*r + 2*m**3*r**2 + 30*m*r**2 + 2*m*r wrt m.\nAnswer: 420*m**2*r + 12*m*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((22\/(-3))\/(-1))\/(72*(-134)\/72360)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -1, -3, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 574393264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 9 = -2*j, -26*j + 25*j + 5*a = 17. Solve -9*q = -j*q + i - 5, q + 19 = 5*i for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 at most as big as 119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-21)\/(-6))\/(1\/2). Suppose -3*n + 53 = -r. Let w(l) = -l**2 + 23*l - 65. What is the remainder when n is divided by w(19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2 + 5 - 41*n + 36*n - 4*n**2. Let a(q) be the third derivative of q**5\/60 + q**4\/6 - 2*q**3\/3 + 3*q**2. Determine -5*a(x) - 4*f(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*t = -4*p - 210, 3*p - 2*t + 373 = 368 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -6*b**2 - 314*b + 890. What is u(-49)?\nAnswer: 1870","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/12 + (-6612)\/(-36). Let u = 254 + -246. What is the greatest common factor of g and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -182063, -364129, -546197, -728267?\nAnswer: -910339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 3*n**2 - 5*n - 6. Let w be y(-4). Let o = -3 - w. Let u = 4 - -1. Which is the second biggest value? (a) o (b) u (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-291694\nAnswer: 29169.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(-36*v + 30*v**2 - 459*v**2 + 1 + 108*v**2 - 206*v**2).\nAnswer: 1054*v**2 + 72*v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**4\/5 + 8496*l**3 - 1065084*l**2\/5 - 1243432*l - 1021920 = 0. What is l?\nAnswer: -10645, -4, -1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -36 equal to -4545\/122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 73 - 61. Solve -4*w = 4*a - 40, o = -2*w - 5*a + 47 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = u + d + 29, 50 = -5*u - 4*d. Let p be 45\/35 + 4\/u. Let j = p - 0. Calculate the greatest common divisor of j and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18565509*c**3 - 4*c + 3270717 wrt c?\nAnswer: -111393054*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*226978 - 41\/(410\/50) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5680 divided by -5?\nAnswer: 1136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0)**(-46))**(5\/13) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06*3237.702.\nAnswer: 194.26212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 6:16 PM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2942 - 2930. What is the least common multiple of (-1*1)\/(2\/(-4)) and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -17*h. Let d(w) = w. Determine 2*d(f) + y(f).\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5343\/(-1918))\/((-24)\/16).\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -59367248 divided by 1948\nAnswer: -30476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 14*c**2 + c - 13. Let a(v) = 5*v**2 - 4. Give 7*a(t) - 2*j(t).\nAnswer: 7*t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (-2354856)\/(-378) + 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 6*f**2 - 1. Let w be y(-1). Suppose -w*i = -5*a - 140, -i + 0*i = a - 30. List the prime factors of i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/31657 and 87\/10.\nAnswer: 316570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16663577 is divided by 111?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h - 14. Let j be u(-5). Let v = j + 3. Solve -4*m = q - 17, -4 - 16 = -v*m for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*g**2 - 24*g*k - 299*k + 2 wrt g?\nAnswer: 22*g - 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmdvmmdmdvm. Give prob of picking 2 v.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 f when four letters picked without replacement from {d: 2, f: 6}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -328, -1249, -2790, -4957, -7756, -11193, -15274?\n\"Answer: -t**3 - 304*t**2 - 2*t - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 1208*r**2 + 58*r - 284. List the prime factors of p(6).\nAnswer: 2, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -10.26?\nAnswer: 12.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 t when four letters picked without replacement from taaattttaa?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2165443?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**4 + o**2 + 3*o. Let r(w) = -w**4 - w**2 - 2*w. Suppose 0 = 2*z + 3 + 3. Let v(k) = z*r(k) - 2*q(k). What is the third derivative of v(y) wrt y?\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.66 + -19386?\nAnswer: -19358.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 16 = -3*g - 16, -4*g - 5*l - 36 = 0. Which is the closest to 5? (a) 5 (b) 2 (c) g (d) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83880810?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lleflljeejlljeleefl. Give prob of picking 1 e and 1 j.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168710082 and 44397390.\nAnswer: 843550410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*n - 0*n - 10, 2*h = 3*n + 19. Suppose -3*g - 2*z = -16, -3*g + h = g - 4*z. Suppose 2 = -4*d - 2. Sort g, d, -3 in ascending order.\nAnswer: -3, d, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4480003029 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 3 - 1)*(-2*i + 2 - 2) - 3*i + 0 + 0)*(7 + 5*i - 7) as m*i**2 + s + o*i and give m.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1454 + 20?\nAnswer: -1434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 20 + 2 - 3*s - 41. List the prime factors of k(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296 = 59*r - 55*r. What are the prime factors of r?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-21)\/141*12\/1722*-1. Which is greater: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -221996246057128 take away 5?\nAnswer: -221996246057133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1508, 6014, 13530, 24056, 37592, 54138?\nAnswer: 73694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*sqrt(136))\/((sqrt(8) + sqrt(8)*2 - sqrt(8))*-1).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2417263 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 606 = -5*a, -2*a - 71 + 313 = -2*j. Calculate the remainder when 477 is divided by a.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5604719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*n - 0*n. Let h be (-4)\/(-2) - (-3)\/n. Let u be (3\/9)\/((-1)\/h). Which is greater: -1\/3 or u?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -10. Which is the closest to z? (a) -1\/2 (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 244 = 224. Let u be ((-1)\/s)\/((136\/(-32))\/(-17)). Let m = 0 - 0. What is the third biggest value in 0.3, m, u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8\/13, 36, 244\/3?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1141, 4, 0.1, 0.5, -48 in descending order.\nAnswer: 1141, 4, 0.5, 0.1, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -11890700 to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/3)\/(-1)*67\/((-8174)\/(-183))*-140?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 518 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25553 or 1\/433?\nAnswer: 25553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a millennium in decades?\nAnswer: 1275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27715021*m**5 - 60407220*m**2 wrt m.\nAnswer: 1662901260*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31996855?\nAnswer: 5, 11, 19, 67, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of 2*n**7\/105 - 7*n**5\/60 + 14*n**2. What is the third derivative of u(t) wrt t?\nAnswer: 96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/55 in -0.0742, -10, -2?\nAnswer: -0.0742","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38632917 to the nearest integer?\nAnswer: 6216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.9858 + 0.0142. What is the closest to 0 in z, 3, 2\/3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.99012705 rounded to one dp?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 8:59 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7976 divided by 4.\nAnswer: 1994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1414*b**2 - 3*b**3 + 1414*b**2 + 16*b + (-5 - 3 + 6 + 7*b)*(-2*b + 2*b**2 + 2*b).\nAnswer: 11*b**3 - 4*b**2 + 16*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 4*z**2 + z - 1. Let i be n(-3). Suppose r + 106 = 3*s, i*s - 150 = 5*r - 10*r. Let m = s + -21. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 339*s**4 - 6*s**2 - 6*s - 320. Let d(u) = u**4 - u**2 - u. Let p = 251 - 252. Let c(y) = p*g(y) + 6*d(y). Differentiate c(q) wrt q.\nAnswer: -1332*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c + 4. Let f be r(-1). Suppose 896775 = 5*m - 5*x, f*x = -7*m + 5*m + 358730. Suppose d + m = -151641. What is d rounded to the nearest 10000?\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*h - 185, 0 = 3*a - 0*a - 3*h + 579. Let j = 294 + a. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11 - 3?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 4*y = 12, 1 = t - y - 1 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10837223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25.6 + 26. Which is the third smallest value? (a) 1 (b) i (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -22. Let l(o) = o + 8. Let h be l(-8). Suppose h = -f*x + 29 + 31. Is x a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + 1. Calculate the highest common divisor of 72 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, h: 3, v: 7, p: 6}. What is prob of picking 3 p?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 90 - 81 + 233 = 4*x, 45 = 3*x for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 59*r**2 - 2*r - 3. Let h be z(-1). Let u = h + -55. Solve 2*a - 5 = u*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - 2*n + 8. Let v = 5 - 2. Let a = v - n. Let j(s) = -5*s**3 - s**2 - s. Give j(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (0 + sqrt(2299))**2 - 3*sqrt(2299)*5.\nAnswer: -165*sqrt(19) + 2294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/15)\/(d**(-4)\/d)*(d\/(d\/((d*d\/(d**(-1\/7)*d)*d)\/d)))**38 assuming d is positive.\nAnswer: d**(5099\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 114294821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 6233.\nAnswer: -3\/6233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - r + 21 = 0, 39 = 4*x - r - 20. Calculate the remainder when 63 is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 3 (c) 36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 - p + p - 3 + 3 + 3*p + p - 2*p + (5 - 5 + 2)*(-2*p + p + 2*p) + p - 3*p + p + 4*p + 0*p - 2*p - 9*p + 8 + 2*p + 9*p to n*p + d and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 255805436?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4010 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 74\/90 + (-28)\/126. Let a = 27 - 44. Let w = 18 + a. Are w and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, i: 7}. What is prob of sequence iy?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19413537133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -87164*v**3 - 958756*v**2 - 1568424*v + 864 = 0.\nAnswer: -9, -2, 12\/21791","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*j - 4*j - 45 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**2 + d**2 - 3*d**2)*(-2*d**2 + 2 - 2) + (-4*d**2 + 3*d**2 - d**2)*(0 + 0 + d**2) - 3*d**4 + 2*d**4 + 0*d**4 + d**4 - 4*d**4 - d**4.\nAnswer: 5*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 7:48 PM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22122*q**2*x + q**2 - q + 206 wrt x?\nAnswer: 22122*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18697 is divided by 18689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3296 is divided by 1648?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5415955 and 27079775.\nAnswer: 27079775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 662 - 227. Suppose 0 = 4*n - 9*n + l. Let v = n + -30. What are the prime factors of v?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 34 = -4*g. Let w = -3 - g. What is the remainder when 11 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 8*i - 19. Suppose -3*h - 3*g = 0, 4*h - 3*g - 19 + 54 = 0. What is q(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 8, q: 4, h: 2, n: 2, i: 3}. Give prob of sequence ih.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*a**2*z**3 + 24*a**2*z**2 + 8*a**2*z + a**2 + 424*a*z**2 + 2*a*z + 2*a - 8 wrt z.\nAnswer: 24*a**2*z + 48*a**2 + 848*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 11:36 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/2)\/((-10)\/(-1550)). Determine p so that 76*p**2 + 74*p**2 + 15*p - m*p**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*i - 6842 = 0, 2*h - i = 294 - 7121. What is the units digit of 2\/(3\/h*-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 7*g**2 + 7*g + 3. Let h be v(-6). Suppose 2*c + 5*x + 19 = 4*c, -8 = 2*c + 4*x. Put -2, h, c in descending order.\nAnswer: c, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/11 and ((-57)\/(-20))\/(0 - (-1)\/4).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 62953 and 4268.\nAnswer: 251812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -128*r**4\/15 - 2848*r**3\/15 - 3416*r**2\/15 - 394*r\/5 - 42\/5 = 0.\nAnswer: -21, -3\/4, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35.002 - -35. Let z = 600.998092 - 601. Let f = t - z. What is f rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -g**3\/3 - 9. Let r(b) = -12*b**2 - 9*b. Let d(z) = -5*p(z) + r(z). Find the second derivative of d(n) wrt n.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13853*u - 28 = -13849*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 52*y + 187. Let n(k) = -25*k - 93. Let i(p) = -6*c(p) - 13*n(p). Let d be i(-6). Solve 3*t - 1 = -2*g, -5*t + g - 11 - d = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 25*k - 6. Let h be r(-25). Let x be 10\/(-6) + 1 + (-112)\/h. Is 3012\/x*(-6)\/(-4) 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 251162956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*u + 23*u - 50*u + 20697*u**2 - 20676*u**2 + 22*u.\nAnswer: 21*u**2 + 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 12*u + 29. What is s(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 153 - (622 - 541)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(0 + 0 + -1). Let h(g) = 4*g + 1. Suppose c + 10 = 2*c - 2*m, -5*m = -4*c + 49. What is the remainder when c is divided by h(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -7 (b) -4 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -39 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 76246 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1532.5 - 827.9. What is f rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/23 and -19\/46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -665*h = -656*h + 117 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -492 + 72*p**2 + 492 - p as w + b*p**2 + s*p and give b.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 6*m + 4. Let j be h(-6). Suppose 22 - 2 = -j*y. What is the second biggest value in -0.2, y, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -703, -1312, -1795, -2158, -2407, -2548, -2587?\nAnswer: -2530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9\/2*g + 9*g**2 - 15 - 3\/2*g**3.\nAnswer: -3*(g - 5)*(g - 2)*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/1)\/(-6) + 565383\/126 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*f - 5*x = 15, 3*f + 2*x = 11. Suppose -f*b - a + 4*a + 34 = 0, 4 = b - 2*a. What is the lowest common multiple of 20 and b?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q - 114. Let o(n) be the second derivative of -n**4\/12 - 5*n**2\/2 + 42*n - 33. What is o(d(p))?\nAnswer: -4*p**2 + 456*p - 13001","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -4*v + 980, m + m = -v + 236. Let i be (-4)\/(-4) + 692\/(-3 + -1). Let a = v + i. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -13*r**2 + 6*r - 538. Let x(p) = -15*p**2 + 7*p - 537. What is 7*f(m) - 6*x(m)?\nAnswer: -m**2 - 544","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 + 27. Calculate the lowest common multiple of 9 and (i + (-20)\/12)*39.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 6, -1, 3050 in decreasing order.\nAnswer: 3050, 6, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*c + 14*c - 13*c)*(9*c**2 - 2*c**2 - 3*c**2).\nAnswer: -72*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v\/(v*v*v**(-10\/9)*v*v)*v)))**(1\/5))**(-14) assuming v is positive.\nAnswer: v**(112\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 315179381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -3. Suppose 3*x = 5*j - 0*j + 4, 0 = p*j - x - 2. Does 6 divide (24\/60)\/(j\/35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.71 - -1.29. Let m be -3 - (-260)\/45 - 3. Which is the closest to r? (a) -5 (b) -0.4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1981*w - 5*j = 1979*w - 25, -3*w + 4*j - 20 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -3*m**5\/40 - m**3\/3 - 3. Let s(h) be the third derivative of v(h). What is the lowest common multiple of 6 and s(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-99)\/297*36\/(-28).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - n + 15285, 3*i - 15028 = 5*n + 257. Let u = i - 2517. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x + 3*x - 8 + 3*x - 4*x. Let y = 8 + -3. Let s = 1 - y. What is j(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2673887?\nAnswer: 29, 92203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -202 + 1193. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -24163737 and -24163738 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (17 - 2)*208\/40. Let v = q - 73. Let m(p) = p**2 + p - 1. Let y be m(2). Solve 0 - 4 = t - 2*c, -v*c + 10 = -y*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 266 - 138. Suppose -95 - 110 = -a. Let z = a - p. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/88 + 9304\/(-110). Let s = d + 84. Let p = 866.1 + -866. Which is the nearest to p? (a) s (b) -0.5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52023 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 456 + 21*i**2 - 457 + 5*i**2 + 3*i**2 to the form s*i + r*i**2 + n and give r.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -1\/3, 0, -1306 in descending order.\nAnswer: 3, 0, -1\/3, -1, -1306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 15) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/2 - 1 - -4. Suppose 0 = d*b - 3 - 1. Factor -5*f**3 + 3*f**2 + f**2 - 2*f**b.\nAnswer: -f**2*(5*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*d = -186*d - 258 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -3 - (-19 - -14) - -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 840*l + 2. Let g(o) = 61320*o + 147. Determine 147*b(f) - 2*g(f).\nAnswer: 840*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/392*-14*(-8)\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 2:19 AM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 59749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 16, 5, -24, -77, -160?\nAnswer: -279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10445, 21979, 33511, 45041, 56569, 68095, 79619?\nAnswer: 91141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3262*q - 42408. Determine j(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 31 + 2240\/(-28) + 20\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -88*i**5 - 690*i**4 - 1814*i**3 - 1734*i**2 - 306*i + 216 = 0.\nAnswer: -3, -12\/11, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 6*k - 5*k - 23 = 0, 19 = -2*y + 3*k for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of 1864*l**5\/5 - 796*l**3\/3 - l**2 - 2425. Find the third derivative of b(h) wrt h.\nAnswer: 44736*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1672 = 1.1038?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1624 and 76.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, a: 11}. What is prob of sequence fff?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (0 - ((-14 - 1) + (12 - 4))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -95 + 2*x + 96 - 3*x. Let s be n(2). What is the second biggest value in -1\/2, s, 5, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -4*c + 5*a, -2*c - 11 + 1 = -3*a for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - q - 87 = 3*i, -102 = -4*q - 2*i. Let o be (18\/8)\/(9\/q). Suppose 0 = -w + o - 3. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cu when two letters picked without replacement from {u: 4, c: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22243 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 906 + -3401. Let z = -7412\/3 - b. What is the common denominator of z and -31\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 1 - (-126 + 124)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 26*h - 152. Let z be r(31). Suppose 2*t + 1199 = z*t. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3610 = 3*x. Suppose 3*n + 0*n = 2*o - 16, 0 = -5*o + 3*n + 31. Suppose -4*i + x = -o*l - 90, -812 = -4*i - l. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = 7*p + 20. Does 13 divide (0 - p - -4) + 253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.6591844m?\nAnswer: 65.91844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llll when four letters picked without replacement from {l: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4609 (b) 1\/5 (c) 6\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 208 divided by 409.\nAnswer: 208\/409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*u**2 - 35*u**3 + 0*u + 5*u - 5*u.\nAnswer: -35*u**3 - 22*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -39025.1 and -124?\nAnswer: 38901.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (2*sqrt(35)*5 - 2*sqrt(70)\/sqrt(2))\/(sqrt(25)\/(sqrt(500)*2)))**2.\nAnswer: 1600*sqrt(7) + 179225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -668 + -46813\nAnswer: -47481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 329 and -36934 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 271377 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 5278.\nAnswer: -2111.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28275600?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 386\/45 - 76\/9. Let d = r - -1\/5. Let a = -0.12 + 2.12. What is the nearest to d in 3, a, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1082572, 2165162, 3247752, 4330342, 5412932?\n\"Answer: 1082590*q - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34*s**3*y**2 + 1952*s**3 + 26*s**2*y - 9680977*s*y**2 + 2*s - y wrt s.\nAnswer: 204*s*y**2 + 11712*s + 52*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 386*h + 236*h + 32*h - 19008 = 78*h for h.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6131074 is divided by 294?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/12*(-48)\/(-15). Let d = -26\/15 - b. Factor 0*l + 0*l**2 + 0 - d*l**3.\nAnswer: -2*l**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 3\/2, -0.03, -2\/19?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/14 + (33\/21 - -5). Suppose -3*o - f = -4*o. Let v(a) = -a**2 + 4*a + 20. Let g be v(6). Calculate the highest common factor of o and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -27. Let a be (n\/20)\/(6\/(-15)). Let g be a\/15 + 78\/15. Put 2, 0, g in descending order.\nAnswer: g, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 267873, 267853, 267821, 267777, 267721?\n\"Answer: -6*k**2 - 2*k + 267881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(sqrt(12) + ((2*sqrt(120))\/sqrt(10) - sqrt(12)) - sqrt(12)) + (sqrt(1216) - ((sqrt(1216)*-3)**2 + 2)).\nAnswer: -10946 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 11*m + 9. Suppose 7*g - 4*g - 2*g = 6. Let d(j) = -21*j - 17. Give g*d(a) + 11*v(a).\nAnswer: -5*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15.32 - -15. Let q = 0.3199935 + z. Round q to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*q = -60*q + 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1351297 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**5\/8 + 75*l**4\/8 + 649*l**3\/8 + 1245*l**2\/8 = 0 for l.\nAnswer: -5, -3, 0, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of j**4\/12 + j**3\/6 + j**2 - 7*j. Let c(o) = -6*o**2 - 5*o - 10. Let k(h) = 4*c(h) + 22*m(h). What is y in k(y) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + z. Let y = 14 - 7. Let c = -2 - -5. Suppose y = -c*s - 2. Calculate k(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 minus 186?\nAnswer: -186.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -0.4884?\nAnswer: -6.4884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5467 (base 9) in base 3?\nAnswer: 12112021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164631 is divided by 164624.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1*24)\/((-14604)\/3651))\/((-3)\/(-46))?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-40)\/(-12))\/(4\/6). Let a(s) = -1. Let t(q) = -q - 3. Let v(i) = u*a(i) - t(i). Suppose -84*r = 99*r - 366. Give v(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 27.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 93607745?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Expand (32 + 6 - 16)*(f**2 - f**2 + f - f**2).\nAnswer: -22*f**2 + 22*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1011110010011011010 (base 2) to base 9\nAnswer: 647764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of 7*t**6\/360 - t**3\/2 - 3*t. Let u(b) be the second derivative of l(b). Let w(i) = 2*i + 3*i - 3*i. Give u(w(o)).\nAnswer: 28*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s + s**2 - 5*s - 2*s**2 - 7. Let z be h(-7). Suppose 2*c + j - 3 = z, c - 20 + 1 = 3*j. Solve 3*a = n + n - c, -2*n - 16 = 2*a for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(3) + -1) + sqrt(12)\/(sqrt(8)\/sqrt(2)).\nAnswer: -5 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 125155804?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 3*y + r - 113 = 0, 5*r = -3*y + 89. Suppose y - 8 = 4*c. Suppose -3*a + 58 = -5*w, -c*a + 3*w + 88 = -w. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -90 - -210. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 595909426 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (1056\/2816)\/((-15)\/40)*(-2)\/4*-86?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**4\/5 + 19533916*r**3\/5 + 58601724*r**2\/5 + 58601716*r\/5 + 19533904\/5.\nAnswer: 4*(r + 1)**3*(r + 4883476)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5242 (base 8) to base 3\nAnswer: 10201211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1775\/225 + (1 - 2\/(-18)) + 8?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/11)\/o)\/o**(5\/6))\/(o\/o**(-1\/8))**17 assuming o is positive.\nAnswer: o**(-5509\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -2\/7, -3\/7, -0.18, 4, -117?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -7, -4, 7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(2\/(-2))\/(1\/(-4)). Suppose -4*o + 13 - 1 = -3*u, a*u = 0. Solve o*s = 1 + 5 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -242309 greater than -242358?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 136*d**2 - 291*d + 3109. Calculate r(134).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 188, 318, 456, 602?\nAnswer: 756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 86\/(-3320) + (-1731)\/(-34620).\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - 323?\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + q. Let m(j) = -6*j**3 + 4*j**2 + 9*j + 4. Let v(r) = -6*r**3 + 5*r**2 + 10*r + 5. Let h(z) = 5*m(z) - 4*v(z). What is 15*f(l) - 3*h(l)?\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 35549534 to the power of 1\/2, to the nearest integer?\nAnswer: 5962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qa when two letters picked without replacement from aqlqdqbllaqd?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 18377226\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 171352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -67*v + 337. Let q be k(5). Factor -27\/5 + 27\/5*x + 1\/5*x**3 - 9\/5*x**q.\nAnswer: (x - 3)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 4. Let s = -0.8 - 0.4. Let f = s - -1.4. What is the closest to -0.1 in f, 0.5, y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -35216.\nAnswer: 1\/35216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 6408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from twtfvkwwtvw. Give prob of picking 1 w, 1 k, and 1 v.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(19)*-4 - (sqrt(133)\/sqrt(7) + -4))**2.\nAnswer: -72*sqrt(19) + 1555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 4 + 6. Let k(c) = -c**3 + 4*c**3 + 4 - 3*c**2 + q*c - 4*c**3. Calculate k(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-158 - -116) + (4 - 3 - (-1 - 7)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/45*(-4770)\/(-4240)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3\/2 - 21*t**2 - 87*t\/2 + 66.\nAnswer: -3*(t - 1)*(t + 4)*(t + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*1\/4*2. Suppose 5*o - 5 = -5*v, o + 7 = 2*v - 4. Solve v*d - d + 12 = u for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 (base 4) in base 16?\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -9 + -2 + 23?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53 - 53. Suppose r + 101 - 220 = n. List the prime factors of r.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z - 1 - z**3 + 3*z + 3*z - 4*z**2. Calculate r(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 45\/4 of a week?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33542504 divided by -332104?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 346245 and 345?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -51573, -103726, -155879, -208032?\n\"Answer: -52153*u + 580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.23, 22, 107\/4?\nAnswer: 107\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10699 - 10654. What is the highest common divisor of 43245 and c?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 9 = 30. Suppose 366 = 9*k - i*k. Suppose -3*z - 4*c + k = -2*z, 896 = 5*z + c. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 9, o: 3, f: 4}. Give prob of picking 1 o and 2 m.\nAnswer: 27\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h. Let i(v) = -40*v**2 - 19*v + 17. Let t be i(-4). Let r = 546 + t. Determine z(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77999 is divided by 2538.\nAnswer: 1859","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than -4289.93931?\nAnswer: -4290.13931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -4*j - 1. Suppose 0 = 2*l - 4, -3*h - 4*l = -4*h. Suppose -5*d = 3*y + h, y + 3*d + 0*d = 0. What is the units digit of r(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 4*f + 26, 2*d = -2*d + f - 16. Suppose 944 = -187*z + 195*z. Let h = -473\/4 + z. Which is the nearest to 0.2? (a) h (b) 3\/4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 2\/4)\/(437\/(-2622))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5188.539 micrograms to tonnes.\nAnswer: 0.000000005188539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*q = -16414 + 12904 for q.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 9, f: 10}. Give prob of picking 3 s.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 5*t**2 - 91*t - 21. Let o(n) = 4*n**2. Give p(o(w)).\nAnswer: 80*w**4 - 364*w**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 12. Let p(w) be the third derivative of -w**5\/60 - 5*w**4\/24 + 7*w**3\/6 - 2*w**2. Let h(c) = c**2 + 3*c - 4. Determine o*h(v) + 3*p(v).\nAnswer: 2*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 12 = 2*u. Let l = u - 1. Let d be (-8)\/l*20\/(-8). Solve r = d*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1383360 and 1648.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61295 divided by 4.\nAnswer: -61295\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 110136*j**3*t**3 + 2*j**3*t**2 + 829*j**2*t**2 + 10*t**2 wrt t.\nAnswer: 660816*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30.92003 - 0.02397. Round o to zero dps.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11839 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.23 + -5.23. Let d = 1 - 1.3. Which is the nearest to 2\/9? (a) -5 (b) l (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 (base 16) to base 6\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(171)*-4 + -3 + sqrt(19)*-2 - ((sqrt(304) + sqrt(304) + (sqrt(304) - -4*sqrt(304) - sqrt(304)) + -1)**2 + sqrt(304))).\nAnswer: -32844 + 90*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.6 - 5.1. Let z = f - -1. Let b = 0.5 + z. Is b greater than or equal to 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of 4*a**6\/15 - 12*a**2 - 12*a - 20. Let z(i) be the first derivative of d(i). Differentiate z(x) with respect to x.\nAnswer: 32*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -950 - -952. Let d be 4\/6 - (-8)\/(-12). Solve d = u*r - 0*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) 0.5 (b) 0 (c) -2 (d) 3791 (e) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 87*p**2 - 964*p - 32. What is g(-13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*f**2*o**3 + 14516*f**2*o + f*o**3 - 113*o**4 wrt o.\nAnswer: 18*f**2*o + 6*f*o - 1356*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 23 (c) 25\/6 (d) 5 (e) 3\/80\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43646640 by 1840.\nAnswer: 23721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -30*3\/(-4)*2192\/4110\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11842284 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 15. Let h = -14.7 + t. Let m = h + -1. Which is smaller: 2\/3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112 and 56?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 298 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31 - -32)\/(-2 + (0 - -1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**4 - i**2 + i - 1. Let g(w) = -4*w**3 - 6*w**2 - w - 1. Let f(v) = 3*a(v) - 3*g(v). Factor f(b).\nAnswer: 3*b*(b + 1)**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/(-4) + 1 + (-6230)\/(-20)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166.2705 months in centuries?\nAnswer: 0.13855875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 230013708 and 310096.\nAnswer: 920054832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2537781?\nAnswer: 3, 845927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3416874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50139.011 + -50111. Let u = o - 28. What is u rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-10)*12\/18.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.02 - -0.48. Let j = 2\/855 - 103\/171. What is the closest to 0.6 in j, z, -0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvbvsvvvvcbvfvvbvb. Give prob of picking 1 s and 1 c.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 55165.108 to the nearest 100.\nAnswer: 55200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-34)\/(-51) - (-236)\/6. Suppose c + 12 = t. Is 6 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1396*o + 1361*o - 3613*o)*(o**2 + o**2 + 0*o**2) + (-2 + o**2 + 2)*(-2*o - o + 2*o).\nAnswer: -1713*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.92 + -0.08. Let q = d - -7. Let u(w) = w**2 + 5*w + 4. Let i be u(-3). Which is greater: q or i?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ihphihh. What is prob of picking 2 h?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 12 = -2*r. Let d be (-224)\/36 + 9\/((-162)\/(-4)). Let y be ((-65)\/(-30) + (-6)\/r)*d. What is the second smallest value in 0.3, 2\/7, y?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*n - z, n - 5*n + 2*z - 10 = 0. Solve 1 = y + 2*p, 3*p + n*p = 2*y + 19 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of n**4\/6 + 16*n**3\/9 + 3*n**2 - 12*n + 4597. Factor m(w).\nAnswer: 2*(w - 1)*(w + 3)*(w + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47998, -2, -11, 1 in increasing order.\nAnswer: -11, -2, 1, 47998","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -3*d + 138000. What is d rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2228?\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20*(-20 + -5 + 27) + (-1 - -2).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9846 + -9849. Suppose 0 = 3*s + 4 - 1. Put o, 2, s in descending order.\nAnswer: 2, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/(4 + -12) + -5. Suppose -5*p + 3 = 13. Put b, p, 40, 0 in decreasing order.\nAnswer: 40, 0, p, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(30\/(-45) + (-15)\/(-27))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -693082*w - 3*w**2 + 693082*w + 4*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -292 - -295.012. Let d = a + 22.318. What is d rounded to zero decimal places?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/15420 and -79\/27756.\nAnswer: 138780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 13\/4 of a gram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/14)\/(104\/637) - 101\/(-404)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 360*k - 129. List the prime factors of w(6).\nAnswer: 3, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -8, 4\/3 in increasing order.\nAnswer: -8, -5, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 186 + -328. Let o = 2063 + n. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + -3048630142.404.\nAnswer: -3048630158.404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45*(-4)\/((-72)\/6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-166 - -164)*(-1)\/(-97).\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 15*h**3 - 3*h**2 - 3*h - 3. Let r(y) = -44*y**3 + 8*y**2 + 8*y + 8. Let g(p) = -p**3 + 11*p**2 - 18*p - 8. Let t be g(9). Give t*k(x) - 3*r(x).\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 901\/87 - -38\/29. Let r be (-172)\/(-24) - (51 - 44). Is k at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of q**6\/6 + q**5\/4 - 5*q**4\/12 - 5*q**3\/6 + 52*q - 1. Solve s(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -280 - -284. Let j(n) be the second derivative of n**4\/12 + n**3\/2 + 2*n. Let p be j(-5). What is the greatest common divisor of p and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2*r**3 - 7*r**2 - 6 + 4.\nAnswer: -2*r**3 - 7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (-57 - -89) + -79?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 6:12 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 19. Let d = -25 + z. Let w(v) = v**3 + 8*v**2 + 5*v. What is the units digit of w(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3265104 (base 10) to base 9\nAnswer: -6125783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7376, 14084, 20856, 27692, 34592, 41556, 48584?\n\"Answer: 32*i**2 + 6612*i + 732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n + 2*n + n - 3*n + 4 + 4 + 2 - n + 0*n + 2*n + (4*n - 2*n + 0*n)*(5 - 1 - 2) - 4*n + 5*n + n + 2*n + 2*n - 3*n - n + n - 2*n + 2 - 2 + n.\nAnswer: 5*n + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*l**3 + 2*l - 18*l**3 + 60*l**3)*(0 - 3 + 1) to the form o*l**3 + q*l**2 + j + a*l and give o.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3745 = -174*j + 1483 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 163 - -812647?\nAnswer: 8127aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*5)**2*3 + -3.\nAnswer: 8097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1363450 (base 7) in base 10?\nAnswer: 183736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.5, 0, 2\/113, 2\/3693, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: 916a63 (base 14) to base 9\nAnswer: 10183802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u + 6. Let d be t(6). Suppose 0*p + 4*r + 15 = -p, 3*p - 5*r - 6 = d. What is the second biggest value in 0.1, -0.5, p?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 264*b + 286*b + 49*b**2 - 552*b.\nAnswer: 49*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/10*(-7)\/14*3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -6643*x + 6651*x + 35, 2*l - 22 = 4*x for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -162231618 + -2?\nAnswer: -162231620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2020100 (base 4) in base 12?\nAnswer: -5068","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 63293235 to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2485 times -780?\nAnswer: -193.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z + 2*z + 0*z - 367 - z + 4*z in the form u + v*z and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-30)\/9*((-4248)\/(-10))\/(-2). Suppose 5*j + x + 57 = 0. What is the common denominator of 31\/22 and 12\/(-10)*(j\/12 + -1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 1485*k**2 + 2591*k**2 + 0 + 3935*k**2 in the form r + a*k + h*k**2 and give h.\nAnswer: 5041","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 48 = c, 7*m - 2*m - 118 = -2*c. Is m even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3430258063 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.087, -307, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-22)\/v)\/v*v*v)\/(v**(2\/27)*v*v) assuming v is positive.\nAnswer: v**(-650\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -74 + 119. Let f(l) = -123*l**2 - 3*l - 48 + o + 120*l**2 - l**3. Calculate f(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 138 + -692\/5. Let c = 97 + -99. What is the nearest to c in -5, z, -1\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8202, -32595, -73248, -130161, -203334, -292767, -398460?\nAnswer: -520413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -19141, -19143, -19145?\n\"Answer: -2*n - 19139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 66*j - 81. Suppose 0 = -1120*d + 1115*d + 50. What are the prime factors of i(d)?\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3187 divide 1337418176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o - 8. Let n be (-36)\/42*(1 - -6). Let s be z(n). Are -2 and s equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*x - 54 - 2 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = 4*c - 77. Is c a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or 22046?\nAnswer: 22046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.08 + 0.38. Let d = 0.217 - 1.107. Let w = d - -0.49. What is the smallest value in -1, w, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 358 = 2*n, -4*j + 4*n + 357 = n. Let b = 97 - j. Let v(t) = t**2 - t + 4. What is the remainder when v(-4) is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 i, 1 s, and 1 m when four letters picked without replacement from {b: 5, s: 2, m: 5, i: 3, r: 1}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1251 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37.10168 years to months.\nAnswer: 445.22016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6\/137 - -1138\/959. Let i = -1\/1844 + -2719\/86668. Let v = -2435\/282 + i. Find the common denominator of v and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38673.\nAnswer: 3, 4297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12015 at most 1\/10177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -5*w + 3. Determine v(-7).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 18 = 3*z, 0 = 5*z + 6*t - 2*t - 27. Calculate the remainder when 16 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.05 + 0.07. Let x = -0.1207 + f. Round x to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1560427530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6729626773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -570278 = -2*c + 4*j - 128860, 2*j - 882906 = -4*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z - 2 + 14. Suppose 29*i - 310 = -z*i. Calculate the remainder when 66 is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.260428 rounded to one decimal place?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*s = -11*s + 45*s - 710 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -12854 divided by 2\nAnswer: -6427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 + -54. Which is smaller: 2\/7 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-one fifths of a gram?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*v - 3103549 - 95544 = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4606 + 4717. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93405 is divided by 6714?\nAnswer: 6123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4943 + -4942. Which is the nearest to 0? (a) -0.4 (b) -0.1 (c) -5 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 80 = -4*x, -4*x + b + 2*b = 80. Let q be (-2804)\/x + (-1)\/5. Suppose q = 6*d - d. Does 14 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -8*i**3 - 18*i**2 + 9*i + 1. Let s be h(-3). Solve x - s = 8*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1434.873 nanograms?\nAnswer: 1.434873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -624 (base 9) to base 14\nAnswer: -284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**4\/(g**3\/g)*(g*g*(g**5*g)\/g*g)\/g**(2\/3))**(-2\/15) assuming g is positive.\nAnswer: g**(-56\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence or when two letters picked without replacement from bfbrfofrfffhffffhfff?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0 + 8)\/2)\/(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (17401\/(-3))\/((-169)\/39 - 8 - -12).\nAnswer: 17401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3456 + -1715?\nAnswer: 1541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + t - 1. Let l be j(1). Let p be (2\/(2\/(-3)))\/l. Suppose -1 + 3 = 5*i - 4*z, i = 3*z - 4. Solve p = i*g + 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4*n = -60201, -4*f = f + 2*n - 60193. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48 - 44. Suppose 5*u = z*k - 1, 5*u + 4 = 19. Let m = k - -25. Calculate the highest common factor of m and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -178? (a) -5 (b) 4\/9 (c) 3\/2 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 744 = o + 3*f + 761, 3*o - 9 = 3*f for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 12*q**2 + 6*q + 6. Let m(x) = -11*x**2 - 5*x - 5. Let t(j) = -6*m(j) - 5*w(j). Let k(r) = r. Give t(k(n)).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*q + 4*y - y + 10 + 2 = -2, 5*q + 170 = -5*y for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -2)\/((-1)\/(-307)). Let p = -184 + g. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 102 + -93. Calculate the smallest common multiple of 12 and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 40*o - 629. Let y be b(16). Let z(n) = -n**2 + 12*n + 2. Calculate z(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -11*h - 7. Let z(d) = 8*d + 21*d + 15 - 6*d. Let r(o) = -o**2 + 22*o + 61. Let k be r(24). Let b(j) = k*w(j) + 6*z(j). What is b(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 448732355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(198)\/(sqrt(30)\/sqrt(5))*6)\/((sqrt(9)\/sqrt(3)*6 + (sqrt(36)\/sqrt(3))\/sqrt(4))*2).\nAnswer: 6*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 2, 25, 1 in descending order.\nAnswer: 25, 2, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4*i**2 - 40*i + 6. Let b be a(10). Let w(m) be the first derivative of b*m + 8 - m**3 - 3\/2*m**2. Find p such that w(p) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*c - 3)*(c**3 + c**3 + 0*c**3) + 5 - 2*c**4 - 5 + (3*c - c - 4*c)*(-20*c + 20*c - 6*c**3).\nAnswer: 14*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 23*l**2 + 20*l - 38. Let d be y(-22). Solve -9 = -p - 2*p, -q = p - d for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 0 - 4. Let b be p*4\/8 + 12. Solve 4 = 2*h + 5*z - 29, -2*z + b = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -5*x + 36. Suppose 0*q + 20 = 4*q. Suppose -q*f + f = -64. Calculate the least common multiple of x and f.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10001000101000100 (base 2) to base 13\nAnswer: 25ac3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of c**5\/60 + c**4\/4 + c**3\/3 - c**2. Let r be o(-4). Put r, -2, -4 in descending order.\nAnswer: -2, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3200 and 67330240?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -331*x = 2*l - 985, 5*l + 237*x + 26 = 239*x for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 9*a**2 + 8. Let x(j) = j**3 - 8*j**2 + 7. Let q(m) = -4*b(m) + 5*x(m). Let g be q(4). Solve -3*o + 6 + g = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3010 (base 5) to base 12.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 31*q - 2*f = -154, 2*f = -2 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -383*w + 1418 with respect to w.\nAnswer: -383","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.199 and -0.4.\nAnswer: -0.201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.3, 0.6, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 475.8 + -475.8015856. What is j rounded to 5 dps?\nAnswer: -0.00159","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 62051770 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100000001110011 - -11011011100?\nAnswer: -100011100110010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 0*a. Let t be (3 - 4) + (a - -5). Solve 2*r + v - 10 = 3*v, 5*r + t*v - 16 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 5:40 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2042 = -5*v - 4*r, 3*v = 2*r + 2*r + 1206. Calculate the common denominator of (-356)\/v - 20\/35 and 3\/6 - (-89)\/4.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 26044438?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17250 is divided by 227?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 127526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6547 - -6962427427.7?\nAnswer: 6962427428.3547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -p**3\/3 + p**2 + p - 2. Let b be r(-1). Let c be b\/(-2) + -1 + 24. Solve -n + 1 = 5*h - 23, -2*h = 4*n - c for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -m**4\/3 + 35*m**3\/2 - 3*m**2 + 3. Let v be d(10). Solve 6*z - v = 11*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 divided by 9814?\nAnswer: 43\/9814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1 - 1 - 1 + 3 - 2 - 4 + 4 + 0 + 1 + 1 + (3 + 2 - 3)*(-1 - 5 + 4) + 0 - 3 + 1 - 2 + 4 - 1)*(-n**2 + n**2 - 5*n**3) + 5*n**3 - n**3 - 2*n**3.\nAnswer: 17*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -258*v - 246*v - 238*v - 267*v + 967*v in the form m*v + x and give m.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42543*0.4.\nAnswer: -17017.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3*w = 5 + 5, -5*r - 4*w = 12. Let h = r + 2. Let y = h + 2. Solve y = -5*o + a - 11, -2*a = -0 - 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of j**4\/24 + j**3\/6 + j**2. Let h be (-2 - -1 - 1) + 0. Let r be 15\/10*(h - 0). Calculate d(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -963191*f*i**2*u**2*z**3 + 16*f*i**2*u**2*z + 3*f*i*u**2*z + 9*f*i*u**2 + 2*f*i*u*z**2 - i**2*u + i*u**2*z**2 wrt z?\nAnswer: -5779146*f*i**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*r, -4*q + 1842 = 4*r - 6*r. Calculate the remainder when q is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 5:34 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2*f**3\/3 - 320576*f**2 + 4808678*f\/3 - 1923476 = 0.\nAnswer: -480869, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirteen quarters of a micrometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3 = 1. Let i(u) = -u - 3. Let x be i(-3). Let m = v - x. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243122320 rounded to the nearest one hundred thousand?\nAnswer: 243100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(-54) - (-4)\/(-18). Suppose i - 2*i + 2 = v. What is the third derivative of k**2 + 3*k**3 + 2*k**2 - k**2 + k**i wrt k?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -218 + 226. Calculate the highest common divisor of 104 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + -4 + 29 - (2 - (-4 - 22))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -62 + 65. What is the nearest to 0.1 in w, 5\/7, -5?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 212606, 850410, 1913482, 3401876, 5315646, 7654846, 10419530?\nAnswer: 13609752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7296 or -11\/109?\nAnswer: -7296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 10*l. Let m be p(-10). Let i be -2*(3 + m - -65). Let j = i + 267. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 27563*b + 2. Let v(r) = r**2. Determine d(v(g)).\nAnswer: -g**4 + 27563*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3680025*o. Let x(g) = -3*g**2. Determine p(x(q)).\nAnswer: -11040075*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, j: 3, b: 8, d: 3, g: 4}. What is prob of sequence jjgb?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -6. Does 7 divide (-2)\/(17\/19 + u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*m = -31*m + 120 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 6*f**2 + 69*f + 151. What are the prime factors of b(-22)?\nAnswer: 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 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: What is the remainder when 3889541 is divided by 121?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2079\/(-1890)*(-6)\/396*4?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 6 (b) 1\/31 (c) 0.3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0038554 rounded to 5 decimal places?\nAnswer: -0.00386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a century in decades?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 21*b**2 + 12*b + 30. List the prime factors of m(7).\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f - 19*f - 191 + 191.\nAnswer: -23*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 115*r**2 + 3*r + 15. Suppose 3*o - 3*u = 12, -3*o = 3*u + 2*u - 12. Is q(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -455*f + 222868. Determine g(490).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(2*p - p - 2*p + (-4 + 4 + p)*(2 - 4 + 3) - 3 + 3 - 2*p + 9160 - 9160 - 5085*p).\nAnswer: -10174*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4680 and 1218555.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 231\/(-29) - (-35)\/(-1015).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of w**4\/12 - w**3\/2 + 3*w**2\/2 - 57*w. Calculate s(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_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: Calculate prob of sequence bmk when three letters picked without replacement from kmbkkkbmmkmbm.\nAnswer: 25\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -786, -1, -3.\nAnswer: -786, -4, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 12 = -2*k - 2*l, 2*l = 0. Suppose 39 = 3*t - 17*z + 22*z, 0 = -k*t - 3*z + 33. Solve m + 2*f = -2*f - 5, -3*m - 5*f = t for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 43248947?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1057 and 31408755?\nAnswer: 1057","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 c when four letters picked without replacement from oeeeepeoopeeccecee.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -2, 2\/599, 0.08, 1\/12 in ascending order.\nAnswer: -2, 2\/599, 0.08, 1\/12, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*j - d, -j - 3*d + 10 = 19 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 66 + -63. Let i be -3*(-2)\/18 - (-23)\/3. Suppose 4*c = l*a + i, -5*a + 3*c = -3 - 2. Solve 4*g + 22 = 2*m, 2*g - 17 = a*m - 43 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(108)*-4)**2 + sqrt(36)\/(2*sqrt(972)).\nAnswer: sqrt(3)\/18 + 15552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + z + 35440 - 4435, 5*r = z + 155057. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3014 + 2961.58. Round h to the nearest integer.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -8. Let x = k - 6. Let l = 25.8 + -26. What is the second biggest value in -3, x, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28092 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0699969995 rounded to 4 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1102 is divided by 185.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10162801?\nAnswer: 11, 193, 4787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 7*q**2 + 9*q - 4. What is the lowest common multiple of d(-4) and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24+20.8\nAnswer: -3.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -15, -25, -35, -45?\n\"Answer: -10*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8908 - 10040 = -672*x - 4836 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4132261?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21144 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 1:53 PM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06169 - -315.02489.\nAnswer: 315.08658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/12 + (325\/(-30))\/(-5). Solve 1 = r + p, 2*r + f = -5*p + 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5915 + 8286 - 48080 = 1726*z + 28509 for z.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -550?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3584) - sqrt(3584)*2)*-3)\/((sqrt(800) + sqrt(800) + (sqrt(800) - sqrt(800)*2))*-2).\nAnswer: -6*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53719, 53524, 53329, 53134?\nAnswer: 52939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2981, -2970, -2959?\n\"Answer: 11*u - 2992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76327502 = -106*i - 17630320. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 553 <= 510?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 2. Suppose -4*g - 4*h = 20, -4*g + 4*h = g + 16. What is the lowest common multiple of (-5)\/(-2) - (-2)\/g and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 2\/3 (b) -0.1 (c) -1\/5 (d) 2\/21 (e) 35 (f) 0.2 (g) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2*sqrt(243)*3)**2 - (sqrt(9) + sqrt(9) + (sqrt(81) - sqrt(9))*-2)\/(sqrt(27) - sqrt(27)*-1).\nAnswer: -52488 + sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h - 8*r - 53, -r + 0*r - 9 = -39*h - 35*h + 72*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 222866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 8:15 AM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11293765?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 2*m = -10. Let p(n) = 7*n. Let s(y) be the third derivative of 0*y + 1\/4*y**4 + 0*y**3 - 2*y**2 + 0. What is m*p(a) + 6*s(a)?\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((7 - 6)\/((-3)\/15)). Is -16 at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 3071?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 35, 35, 37?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4458125.\nAnswer: 5, 7, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1140 + 1324. Calculate the least common multiple of 16 and m.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 40718, 40662, 40606, 40550, 40494?\n\"Answer: -56*h + 40774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 25 = -12*a + 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f + 35. Let z be a(32). Suppose 0 = -b + 8*v - 4*v + 1233, 0 = -v. Let n = b - 11083\/9. Is n <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 5048 (c) -8\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -0.043, 5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-310)\/6 - 16\/12. Let w = x + 1692. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59 divided by 4\nAnswer: 59\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of -o**3\/2 - 7*o**2\/2 + 9*o. What is the derivative of g(f) wrt f?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in five eighths of a kilometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 31671535 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 401405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of 1\/6*h**4 + h**2 + 0 - 1\/2*h**3 + 1\/60*h**5 + 0*h. Calculate x(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 + -25. Let w = 2 - 3. Let n be w\/(2\/4) + 0. Sort n, 0, q in descending order.\nAnswer: q, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87794709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2)\/h)**5 assuming h is positive.\nAnswer: h**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 320 and 36184288?\nAnswer: 361842880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-9))\/(3\/(-5)). Let i = 43\/45 + l. Let v = 84 + -926\/11. Which is smaller: v or i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and -0.144237005?\nAnswer: 1.855762995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/20 and -57\/2080.\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16981 - 16165. Calculate the highest common divisor of r and 1734.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 8:28 AM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a4 - 28dc22?\nAnswer: -28dcc6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 52494284777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 9:41 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 16. Suppose d*c = 8, c - 308 = 3*y - 1027. Suppose 2*f + 4*v = -f + y, 2*f - v = 179. What is f rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from ktftkkfmkntl?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.803 or 0.738?\nAnswer: 0.738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1 (b) -149 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 8*y**2 + 9*y - 10. Let t be q(7). Let k = t - -2. Does 8 divide k\/(-27)*3*-24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -373, -289, -219, -169, -145?\nAnswer: -153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m**2 + m**2 - 9*m**6 - 12*m**2 + 2*m**3 - 6*m**2 wrt m.\nAnswer: -1080*m**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 0 + -2 + -1*(sqrt(1728)*-1)\/(3*sqrt(100)) + 1.\nAnswer: -1 + 4*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.62 + -4.48. Let h = t - -5. Which is the closest to h? (a) -0.4 (b) 1\/3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -551.7?\nAnswer: -165.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11, 18, 25?\n\"Answer: 7*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1810196811 to the nearest integer?\nAnswer: 1219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 561 and 232881.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 385*b**2 - 101*b + 100. Calculate the remainder when c(1) is divided by 244.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*s - 5*l, -5*s - l = -3*s - 9. Suppose -5*c + 15 = -v, -5*v + 12 = -2*c + s*c. Solve 3*b - 7*b - 20 = v for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6784241 days in microseconds?\nAnswer: 58615842240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 2\/4)\/((-137)\/(-274)). Sort 1, 5, d, 0 in ascending order.\nAnswer: d, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g**4 - 24125*g**3 + 2912725*g**2 + 8907125*g + 5970270 = 0 for g.\nAnswer: -2, -1, 127, 4701","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10216, 20490, 30764, 41038?\n\"Answer: 10274*x - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1096146 is divided by 14235.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 1156 = z. Suppose c + 4*c + 2*s = z, c + 2*s = 53. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 21\/(-11 - 910\/(-80)). Suppose 2*q - 5*q + 4*o = -64, 8 = -2*o. What is the highest common factor of i and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -400?\nAnswer: 3bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -99*y - 48. Let d be (-12 + 10 - (1 - 2))*6. What are the prime factors of j(d)?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4818719 by 9.\nAnswer: 4818719\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 8*x. Let m(d) be the first derivative of -d**2\/2 - 7. Determine m(v(k)).\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/3))**(-50)*(u*u**0*u)**(1\/9) assuming u is positive.\nAnswer: u**(152\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-5))\/((-4)\/(-10)). Let u = 0.0452 + 1.9548. Which is the closest to u? (a) v (b) -2\/17 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16b35 + -689?\nAnswer: 1648a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15044310347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.9, 513942, 0.1, 2\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 4, 0.6, -0.9, -6?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3629 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 6378465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, 2, -2\/5 in descending order.\nAnswer: 2, -2\/5, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**4\/7 + 14762*u**3 + 29526*u**2 - 310014*u\/7 = 0. Calculate u.\nAnswer: -3, 0, 1, 51669","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*f + f**2 - 1\/6 + 7\/12*f**3.\nAnswer: (f + 1)**2*(7*f - 2)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.009217 millennia in months?\nAnswer: 72110.604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.9 + 6.84. Let c = x - 8.7399453. What is c rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 166 and 664.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, b: 12, n: 1, v: 1}. What is prob of picking 1 n and 1 v?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 39972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 9*b**2 + 3*b - 2. Determine q(-9).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/58588 and -11?\nAnswer: 58588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -l**4\/12 + 4*l**2. Let a(o) = -77*o**2 - 5129*o + 1706*o + 353*o**2 + 1709*o + 1714*o. Calculate a(p(x)).\nAnswer: 1104*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**2\/2 - 237*x\/2 - 630 = 0 for x.\nAnswer: -5, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -12, -47, 3 in descending order.\nAnswer: 3, -2, -12, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 6*l - 10. Let j be t(1). Let a be (1 + 1)*(6\/j)\/3. Which is smaller: -9\/8 or a?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5 and -0.19.\nAnswer: 0.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from pqpqmppsqvvvv?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - -1 - (63 + -3 + -21 - (3 + -1)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3000) - sqrt(3000)*-1 - sqrt(3000))\/(-2*sqrt(98)))\/(sqrt(5) - sqrt(35)\/sqrt(7)*4 - sqrt(55)\/(sqrt(11)*1)).\nAnswer: 5*sqrt(3)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.85 + -0.1. Let t = -1625 - -1638.75. Let l = v - t. Which is the nearest to 2\/7? (a) l (b) 2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3117 or -7?\nAnswer: -2\/3117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -8 + (-2 - -6) - 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 4:18 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7493 + 7498. Solve l + 22 = 4*r, i*l + 50 = 5*r + 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -418946 = -555*m + 533*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -5*s - 2225, 5*d = 7*d + 10*s - 938. Solve d - 430 = -19*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -h**8\/336 + h**4\/6 - 21*h**2. Find the second derivative of j(r) wrt r.\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41107, -82810, -124513, -166216, -207919, -249622?\nAnswer: -291325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.7 in 5, -2.586, -11, -5?\nAnswer: -2.586","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 125 - 70. Let s = k + 10. What is the highest common factor of s and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-20)*-27)\/(42\/35)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 141198664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -489, -1 in descending order.\nAnswer: 2, -1, -489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 2. Let i(u) = -1. Let j(c) = -6*c + 28. Let h be j(4). Let m(w) = 4*w**2 + 13. Let l(p) = h*i(p) + m(p). Give 18*d(x) - 4*l(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 12:15 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -682527516*g*w**4 + 45927477*g + 10 wrt w.\nAnswer: -2730110064*g*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 4:57 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 926267 is divided by 20.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*u**3 - 1173 + 545*u**3 - 3*u**2 - 694*u**3 + 1173 + 3*u**2.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/12)\/(5\/45*144\/192)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 98 by 49.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 25.89 (b) -1 (c) 4.9 (d) -0.013\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2611834?\nAnswer: 2, 23, 56779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4e505 + 7?\nAnswer: 4e50c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -49225.91 and -0.229.\nAnswer: -49226.139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 819 = -965*u + 1028*u. Solve -51*w - 192 = u*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(1\/4)))**(-2\/185)*((l\/l**1)\/l)\/l**6 assuming l is positive.\nAnswer: l**(-2591\/370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -5. Let g(x) = 6. Let j(o) = -4*g(o) - 6*h(o). Let f(d) = -5 - 2*d + d - 12. Let q(z) = 6*f(z) + 17*j(z). Let k(n) = -n. Give k(q(m)).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/2095404 and -73\/10826254.\nAnswer: 64957524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 265 by -53.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22 + 68*u - 7 - 11 - 14*u**2 - 8.\nAnswer: -2*(u - 4)*(7*u - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1412 - -1419. Solve -b = 3*d + f, -3*b - 10 = -0*b - 2*d for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/105, 0, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -10224*p + 122684. Give f(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, 36, -1317 in ascending order.\nAnswer: -1317, -67, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -330 = -3*d - 3*j + 1524, -2*j = -3*d + 1844. What is the greatest common factor of d and 440?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/8)\/(y**7\/y))**4 assuming y is positive.\nAnswer: y**(-45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54 by 99.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 2131\nAnswer: -10\/2131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-8)\/(f*(f*((f\/f**0)\/f)\/f)\/f))**(1\/44)*(f\/((f**(-4)\/f)\/f)*f*f\/f**5)**(-2\/5) assuming f is positive.\nAnswer: f**(-98\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -1. Let i be 10 + (-6)\/(0 + 1). Solve d*j - 4 = -k - k, -i*k = 5*j - 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -9*w**2 - 3*w - 2. Let b = 6 - 8. What is the common denominator of ((-1)\/(-8))\/(6\/(-536)) and z(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/5*q**2 - 7\/10*q + 0 + 1\/10*q**3 = 0 for q.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 is divided by (-19 - -13) + 24\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) 86 (c) 4 (d) -0.1 (e) -139\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -105829, -105850, -105879, -105916, -105961, -106014, -106075?\n\"Answer: -4*m**2 - 9*m - 105816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 76 and 423828700?\nAnswer: 8052745300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*y + 3*d - 35, -12*d = y - 11*d - 7 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 702483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 e when two letters picked without replacement from {e: 1, o: 2, f: 4}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 88 = 4*c, -2*t + 5*t = -5*c + 118. Solve -4*p + c = -0*p - 5*f, 3*p = 4*f + 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26284 divided by -4.\nAnswer: 6571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1556578725.5 + 101003464.5. Let d = z - -1455575170.9999853. Let s = d - -90. What is s rounded to six decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.56 times -106?\nAnswer: 2709.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3708 and 618.\nAnswer: 3708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 0)*(49 - 49 - 28*p + (3 - 3 + 1)*(-4*p + 3*p + 0*p) + 0*p - 2*p + 4*p)*(-3 - 4 - 5) to the form i*p + n and give i.\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*g = 22*g + 90. Calculate the remainder when 29 is divided by (1 + 4 + 14\/(-3))*g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - (-1 + 4)) + -2. Let y = 16 + -118. Let a = -107 - y. Sort a, -6, n in increasing order.\nAnswer: -6, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/455 and -37\/6126785?\nAnswer: 79648205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8212 - -24709. List the prime factors of b.\nAnswer: 3, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**2\/5 - 1598194*q\/5 + 20776184\/5 = 0 for q.\nAnswer: 13, 799084","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {v: 2, n: 6, o: 11}?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 246771 divided by 63?\nAnswer: 3917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 3426514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 90 + -7. Suppose 5*j = o + 27. Suppose 0 = -0*w + 3*w + i - 95, -w + 21 = 3*i. Calculate the highest common divisor of w and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 21*w + 30. Let h(s) = 48*s + 2. Let k be h(0). Let i(d) = -4*d - 6. Calculate k*p(r) + 11*i(r).\nAnswer: -2*r - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.3861 (b) 1.7 (c) -4 (d) -142 (e) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.2017 rounded to one dp?\nAnswer: 10.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 76.37 + -76.4414. Round h to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/20*(-160)\/(-264))\/((-24)\/12)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4929975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -451536 to the nearest 10000.\nAnswer: -450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of 12*w - 52*w + 4*w**4 - 5*w - 5*w**4. Let y(x) = 3*x + 4. Let a(g) = g + 1. Let b(j) = -4*a(j) + y(j). Determine b(m(r)).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/285 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -3. Let d(l) = 4*l**2 - 2*l - 1. Let s(b) = -b**2. Let i be 2*-10 - (-6 + 5)*1. Let k be (-1 + 0)\/((-10)\/(-9 - i)). What is c*s(y) + k*d(y)?\nAnswer: y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 14 - 93 = 0. Let t = 45 - c. Let f = 85 + t. Does 51 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + i + 10. Give t(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 17564461700 to the nearest one million.\nAnswer: 17564000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1482, 8.92, 0.5 in ascending order.\nAnswer: -0.1482, 0.5, 8.92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1318154863?\nAnswer: 23, 251, 228331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 7 (c) 0.5 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1936?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -39 in 46, -1\/7, -0.3, -65\/4?\nAnswer: -65\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 344770 = 501540. Let j = i - 111962. Round j to the nearest 1000.\nAnswer: 57000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 10 = 0, -2*u + 7 = -5*u + j. Let w(r) = r**3 + 3*r**2 - 6*r - 14. Let t be w(u). Suppose t*b = -5*b + 8163. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -5*v**2 - 315*v + 23. Does 25 divide x(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(-3 - -2) + 2. Let v be i\/14 - 103\/(-7). Let z = 18 - v. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*c - 3*c + 612. Let k = 54 - c. Let g = 216 - k. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (0 + -2*sqrt(72) + sqrt(72) + (3*(-1 + sqrt(72)) - sqrt(72)))**2 - ((sqrt(8) + sqrt(8) + -1*sqrt(200) - sqrt(64)\/(sqrt(16)\/sqrt(2)))*3)**2.\nAnswer: -1075 - 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 - 156944844*m - 2052640338182028.\nAnswer: -3*(m + 26157474)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 514 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188*o**3 + 223*o**3 - 675*o**3 + 265*o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 7*t**2 + t - 8. Let p be 3 - (-1 - -2)*-4. Let h be r(p). Let s(i) = -7*i + 1. What is s(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09 - 16.54.\nAnswer: -16.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1618, -3227, -4822, -6397, -7946, -9463, -10942?\n\"Answer: a**3 + a**2 - 1619*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/240 + (-1)\/(15\/(-6)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 + 304*t**2 + 6824*t - 14880.\nAnswer: 2*(t - 2)*(t + 30)*(t + 124)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ummmmmmmmmmmm. What is prob of picking 3 m?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 106841149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -21. What is the first derivative of -c**3 - 4 + b*c - 9*c wrt c?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113084723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - 9.669?\nAnswer: -9.169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of 37*o**6\/360 - o**5\/120 - o**3\/6 - 8*o. Let i(m) be the second derivative of u(m). Is i(1) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -533, -833, -1327, -2009, -2873?\nAnswer: -3913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -435709.0133 - -435832. Let f = 123 - n. Round f to three decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w**4 + w**3 - 2*w - 2. Let r(u) = -12*u**4 + 24*u**4 + u**3 - 11*u**4 + 1 - u. Let o(i) = -b(i) - 2*r(i). Let o(h) = 0. Calculate h.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3707678.\nAnswer: 2, 13, 59, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 3*x, -2*x + 4 = -3*g - 1. Let w = 22 + g. Suppose -27 = -l + w. What are the prime factors of l?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d - d - 2*d + (1 - 2 + 4)*(3 + 1 - 2)*(-35*d - 143*d + 35*d) in the form a + z*d and give z.\nAnswer: -859","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 0.6. Let f = 281 + -280.4012. Let v = u + f. What is v rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4113.40416 to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -35, -34, -31, -26?\n\"Answer: q**2 - 2*q - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - g + 181 = 0, 0 = u + 2*u + 3*g - 129. Let m = u - 20. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1424\/17 (b) -8 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (4\/1)\/(-2)*(-1840)\/230\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21815368 divided by 46219?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -4*k + 2*k - 2, -6 = -k + 2*h. Let r = 3497 - 266. Suppose -r = -k*b - b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 81605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 36\/24*(-2)\/(-90). Let g(a) be the second derivative of -1\/5*a**2 + 0 + a + 1\/5*a**3 - 3\/50*a**5 + q*a**4. Factor g(l).\nAnswer: -2*(l - 1)*(l + 1)*(3*l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9541849?\nAnswer: 23, 577, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23614 is divided by 96.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10336 = -1083*q + 437*q for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -17*3\/((-15)\/10). Suppose d = k - 89, 0 = -d - k - 49 - g. Let z = d - -160. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25.9 at least -15\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -432*h**2 + 1052*h**2 - 621*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 38039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z - 5. Let c(f) = f + 3. Let x(n) = 5*c(n) + 3*r(n). Let k be x(3). Let j be (-13)\/(-65) + (-11)\/5. Is k not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21\/26 - 17\/13. What is the nearest to z in 5\/4, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5291591781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1275 + 12690 = -761*k for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24)\/(-9)*423\/4. Suppose -3*u = 3*u - g. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 177*o**2 + o - 3. Let v(y) = 354*y**2 + 3*y - 7. Let p(k) = 9*g(k) - 4*v(k). Let r be p(-5). Suppose -12 = -4*j, 4*j - 14948 + r = -5*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(4) - sqrt(32)\/(sqrt(24)\/sqrt(3)))\/(sqrt(16)\/sqrt(288)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 36 and -1663.\nAnswer: -59868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l. Let m(f) be the first derivative of 38*f**3 + 40*f**3 + 38*f**3 - 125*f**3 + 56. Determine m(k(u)).\nAnswer: -108*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-18)*(-4)\/(-10)*-2.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 3*o + 4*k, o - 8*k + 4*k - 23 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51294 and 10458.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 5*o - 5. Let m be y(3). Suppose p - 9 = -2*p, u - 16 = -5*p. Let j be u\/3 - 4\/(-12). Which is smaller: j or m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 164\/32*-1*(-224)\/28.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -4*d**3 - 24*d**2 - 20*d + 24. Let m be 2\/(-2 + 6 + -3). Let t(f) = -f**2 - f - f**m + f**2 + 1. Let y(q) = o(q) - 24*t(q). Factor y(k).\nAnswer: -4*k*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f + 4. Let u be y(4). Let l be u - (-1 + 1 + 0). Suppose -p - 1 = -b + 4, l = 2*p + 4. Is 3 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1112 is divided by 96?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1819093843.\nAnswer: 7, 259870549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f - 5*f - 252 = 0. Suppose -f*p = 4*p - 13760. Calculate the remainder when p is divided by 72.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3597 and 20361.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 9) in base 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -d**8\/420 + d**5\/120 - 5*d**3\/3 + 7. Let y(s) be the third derivative of k(s). What is the second derivative of y(i) wrt i?\nAnswer: -48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -44*v - 4. Let k(y) = -41*y - 2. Give 3*k(i) - 2*r(i).\nAnswer: -35*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 351839257?\nAnswer: 7, 11, 23, 101, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2*r = 3*r - 1, -5*g - 4*r = 5. Let u(f) = f**2 - 4*f**2 + f**2 + g*f**2. Let t(p) = -42*p**2 + p. Calculate u(t(w)).\nAnswer: 1764*w**4 - 84*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: 10\/(-36)*(-13 + 191\/15)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (33\/(-154))\/1*(-8)\/4. What is the nearest to 0.1 in 0.013, 3, r?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 23847728, 47695451, 71543170, 95390885, 119238596, 143086303?\n\"Answer: -2*n**2 + 23847729*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1325*i + 72326 = -78*i for i.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**5 + 25*q**4 + 34*q**3 + 20*q**2 + 6. Let w(t) = -t**5 + 50*t**4 + 69*t**3 + 40*t**2 + 11. Let s(u) = 11*i(u) - 6*w(u). Factor s(b).\nAnswer: -5*b**2*(b + 1)*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30814 (base 9) to base 8.\nAnswer: -47570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*s = 8*s. Let d(n) be the second derivative of -1\/10*n**3 + s + 1\/10*n**4 + 3\/100*n**5 - 4*n - 3\/5*n**2. Factor d(t).\nAnswer: 3*(t - 1)*(t + 1)*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -415*d - 5796 = 2919 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 56 in -0.1, 3, 0, 6\/11, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8984 + 45*p**3 - 8984 - 11*p**3 - 14*p**3.\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 977397 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 a = 11 - 7. Suppose 0 = w + a*m + 13, 4*w + 0*m = -m + 23. Calculate the highest common factor of w and 70.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 258187257?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-1) + -4 + 1)*15\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 270988, 541972, 812956, 1083940, 1354924?\nAnswer: 1625908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 43 = -142*g + 143*g, -m - 455 = 25*g for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 152*h**2 + 56*h. Let m(b) be the first derivative of 8*b**3\/3 + 3*b**2\/2 + 41. Let z(d) = -3*a(d) + 56*m(d). Determine z(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from ddkkdkkdkk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 70137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1234 + -1233.84. Which is the second smallest value? (a) -2\/7 (b) -3 (c) 1\/3 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26133.\nAnswer: 3, 31, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 195 and 611?\nAnswer: 9165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 82 and -8.\nAnswer: -656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (25\/45)\/((-2)\/(-6)). Suppose 4*q - 3*o = 8*q + 60, -5*q = -3*o + 48. Let z be 30\/100*q\/9. What is the closest to 0.1 in t, -4\/3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -2. Suppose i = -3*g - 10. Let b be (-546)\/(-35) + 3\/g. What is the highest common divisor of 10 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 838089589 to the nearest integer?\nAnswer: 943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, w: 8, r: 7, u: 2}. What is prob of picking 1 u and 3 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/2*(-50)\/(-15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.051550104 - -111?\nAnswer: 110.948449896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**3 + 324*v - 322*v - 2*v**2 - 3*v**3 to the form o*v**2 + k*v + i*v**3 + n and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**2 - 13*t + 12. Let y be u(5). Does 22 divide 38\/(-57)*y*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/5*1050\/(-5460)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 953198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 311245?\nAnswer: 5, 11, 5659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -6516447 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*x - 26 + 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/2 - (-20 + (20 - 163)). Solve 24 = h*b - 154*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n**2 - 2*n**2 - n**3)*(3 + 0 - 4) + n**3 - 6*n**3 + 0*n**3 + n**3 + 2*n**2 - 2*n**2 to d + x*n + u*n**2 + y*n**3 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b**2 - 1 - 5*b**2 + 1. Suppose -5*q = -96 + 6. Let o(c) = 2*c + q + 20 - 38. Determine g(o(h)).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 944 a factor of 43591523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 57\/2 of a micrometer?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-5))\/((-96)\/(-60))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34887 and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -166 by -1013584.\nAnswer: 83\/506792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/(-8520)*71)\/(((-28)\/(-648))\/(-7)).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three eighths of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42040574 is divided by 461984?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2 + 3*(sqrt(55)\/(3*sqrt(20)\/sqrt(4)) + 3))**2.\nAnswer: 16*sqrt(11) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -280 and 219582?\nAnswer: -61482960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/6)\/((-49)\/84)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 + 0.15. Let n = 0.05 + w. Let x = 82\/7 + -307\/28. Which is the nearest to 0.2? (a) 4 (b) n (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3 + 5*y - y**2 - 2*y**2 - 5 + 4*y**2. Suppose 4*p = -30 + 10. Determine r(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18089 is divided by 3001.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g + 8. Let x be r(7). Let t = -16 + x. Let p = -88 - -90. Which is the nearest to t? (a) -5 (b) -2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32031?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10531 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: Suppose 2*q = -5*k + 31, 2*k - q - 7 = -0*q. Suppose 4*l = k*p + 76, p - l + 20 = l. Let x = p + 12. Solve x*b - 4 = b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-4))\/((-2)\/(-12))*162\/1701?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 10, 13, 14, 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 o when three letters picked without replacement from volvollvmml?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1178, -2333, -3482, -4637, -5810?\n\"Answer: -2*r**3 + 15*r**2 - 1186*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 405 - 751. Let c = -145 - j. Calculate the highest common factor of c and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 1033258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.1537912 + 5.157. What is z rounded to four dps?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-8 - (4 + -4))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3874*h**3 + 3923*h**2 + 3*h - 3. Let f(y) = -7747*y**3 - 7837*y**2 - 5*y + 5. Let u(a) = 3*f(a) + 5*t(a). Find the third derivative of u(q) wrt q.\nAnswer: -23226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 1 - (-2 + 4 + -5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-20)*6*15\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**4 + 87*j**3 - 1980*j**2 = 0 for j.\nAnswer: -44, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 23*k**2 + 271*k + 1081. What is n(-4)?\nAnswer: 365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f + 6. Let n be b(-2). Solve 0 = -6*d + 2*d - n for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4*w + 24 = 0, 21 = 5*s - w - w. Let o be 11\/(-3) + 6\/(-18). Let h = s - o. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 699, 2475, 5415, 9519?\nAnswer: 14787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 161328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 75.25951ml?\nAnswer: 0.07525951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - -1. Suppose 0 = -4*h + d - 13, 3*d - 12 = h + k. Let s be ((-76)\/57)\/((-2)\/(-3)). Is s bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - o - 1)*(3*o + o - 2*o) - o + 35*o**2 + o.\nAnswer: 33*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*n**3 + 4*n**3 + n**3 + 142*n**3 - 109*n**3 - 84*n**3 + 5*n**3 - 3*n**2 + 3*n**2 + (-4*n - n + 4*n)*(2*n**2 - n**2 + 0*n**2).\nAnswer: -48*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60956329.\nAnswer: 7, 487, 17881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3699.99992897 - 3700. What is z rounded to six dps?\nAnswer: -0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from ikiikiiiikikik.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) - 6*(sqrt(130) + (sqrt(130) - -3*sqrt(130))) - sqrt(130))\/(sqrt(10) - (sqrt(1210) - sqrt(1210)*-3)).\nAnswer: 30*sqrt(13)\/43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10182 by 6.\nAnswer: -1697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -4. Let p(v) = -6*v. Let k(d) = 25*d + d**2 + 11 + 0*d**2 - 11. Let s(r) = h*k(r) - 9*p(r). Factor s(n).\nAnswer: -2*n*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12542715 + -37136715. Round j to the nearest one million.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - 1*-17 - 2. Suppose 2*w + 4*b + 0*b - 22 = 0, -2*w = -2*b - 4. Suppose -4*r = -w*r + f. Calculate the remainder when 29 is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 9:35 AM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1792 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3702 and 0.3.\nAnswer: 1110.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1116209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -36*j - 321. Let f be m(-9). Which is the second smallest value? (a) 0.8 (b) -2\/51 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 47*d - 245. Let t be i(-36). Sort -2, t, 0 in descending order.\nAnswer: t, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**5\/3 - 21584*t**4\/3 + 301562*t**3\/3 + 2392364*t**2\/3 + 3793696*t\/3 + 1724480\/3 = 0 for t.\nAnswer: -4, -1, 20, 10778","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23525 - -23525. Put q, -300, -4, -1\/5 in ascending order.\nAnswer: -300, -4, -1\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-3) - 189\/324. Let v(m) = m**2 - 6*m + 3. Let d(w) = -w**2 + 2*w + 5. Let k be d(0). Let x be v(k). What is the second biggest value in 5, f, x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5*l**3 + 10*l**2. Let a(j) = -63*j**3 - j**2 + 58*j**3 - 10*j**2. Let i(d) = 3*a(d) + 4*y(d). Find the third derivative of i(k) wrt k.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1ac563 + -392?\nAnswer: -1ac915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - 2*r + 4. Sort r, -3, -5 in decreasing order.\nAnswer: r, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of 6*c**4 + 7*c**3 + 3. Find the third derivative of l(d) wrt d.\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03575 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 11, -7, -0.2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 208 = 2*s, -5*s + 2*s = -12. Let g be 2\/7 + z\/70. Solve -2 + g = -v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 467792 to the nearest integer?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 3 = 3*m. Let a(q) = -q**3 - 2*q**2 + 4*q. What is a(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 10*f**2 + 16*f + 11. Let g be t(-8). Suppose g*c - 2618 + 462 = 0. Is c a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*q**2 + 27*q**2 - 24*q**2 - 7*q - 16*q**2.\nAnswer: -67*q**2 - 7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14671\/12 - -1221. Calculate the common denominator of -7\/172 and b.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28779 divided by -181\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 57517 - 1298*m - 849*m - 57517 to s*m + y and give s.\nAnswer: -2147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.3, -40.8, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 u, and 1 x when three letters picked without replacement from {l: 1, v: 1, u: 1, y: 1, t: 2, x: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3375*d**3 + 2*d**2 + 3*d + 1. Let l be s(-1). Let g be (l\/(-6))\/((-6)\/(-32320)). What is g rounded to the nearest 100000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-2\/17))**3\/(j**(3\/2))**50)**(-5\/7) assuming j is positive.\nAnswer: j**(870\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (36\/(-9))\/((-4)\/(-2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 2 - 28 = 0. Suppose v - r*c = 58, -4*c - 163 = -3*v - 6*c. What are the prime factors of v?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77 = 27*x - 193 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95525725?\nAnswer: 5, 31, 123259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110101001101001100000 + 11001110?\nAnswer: -10110101001100110010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - q - 2. What is the remainder when 54 is divided by n(6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -i**2\/2 + 12*i - 6. Let j be h(9). Suppose 4*n - 7*n + 74 = 4*o, j*o + 3 = 0. List the prime factors of n.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-35)\/((-21)\/3) - (-62)\/(-14). What is the second biggest value in 1\/5, 7, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 80*q**3 - 3*q**2 + 2*q - 1. Is w(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49 - 76. Let q = 32 + l. Solve -q*d + 9 + d**2 + 3 - 6 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -21*s**3 - 21. Let h(n) = 11*n**3 + 10. Give 9*h(l) + 4*t(l).\nAnswer: 15*l**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 f when four letters picked without replacement from qqdjrrqrfjdqqda.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17113, -17115, -17117, -17119, -17121, -17123?\nAnswer: -17125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 400072 to the nearest integer?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7434 + 7584. What is the remainder when 2396 is divided by t?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 46 = 16. Suppose -w = 5*l - 21. Is l even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -35*c**2 - 15*c + 15. Let o(m) = 9*m**2 - 6*m + 2. Let p(i) = -8*i**2 + 4*i - 1. Let x(q) = -3*o(q) - 4*p(q). Give -2*j(v) - 15*x(v).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 w when two letters picked without replacement from jswusououausos?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.371 + 0.085. Let w = -0.014 + t. What is the biggest value in w, -12, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.11 and 322.4.\nAnswer: 322.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6144090 to the power of 1\/2, to the nearest integer?\nAnswer: 2479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 2*x**2 - x. Let u be h(-2). Suppose 3*k - 3 = -3*d, -2*k - 19 = -3*d - k. Solve 4*q + 7 = -4*z - d, -3*z = -u*q - 11 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*b + g = 34*b - 29, 11 = 4*b - 3*g for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1192*y - 1205*y + 662*y - 3 as q + l*y and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 6. Suppose 0 = -5*z + 10 - 0. Suppose 20 = b*v - z*v. Solve v = -p - u + 1, -u = -p - 5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -341 + 1043. Calculate the remainder when i is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 5*j + 555, -j - 2*j - 109 = -i. Does 16 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**2 - 5*r - 4. Calculate s(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v + g - 30, v + 14 = 5*g + 8 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/((d\/d**5*d)\/d)*d)\/(d*d**(-3\/2)*d))**42 assuming d is positive.\nAnswer: d**273","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7859 to the power of 1\/2, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18610 * 106.\nAnswer: 1972660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/15)\/(((-30)\/(-27))\/(-5))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -8*b**2 - 24*b - 28. Determine z(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.11830984 - 0.08\nAnswer: 0.03830984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/(-2))\/(-9)*2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33077?\nAnswer: 11, 31, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/2)\/((-320)\/(-32)).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3\/2 + 147*z**2 - 7245*z\/2 + 6669.\nAnswer: -3*(z - 57)*(z - 39)*(z - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 57*y**2 - 174*y + 179*y - 50*y**2 + 79 wrt y?\nAnswer: 14*y + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**3 - w**2 + 2*w - 2. Let k be f(2). Suppose k*c - 7*c = 28. Suppose 0 = -c*r - 172 + 776. What are the prime factors of r?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 + -14. Sort 4, -5, 2, l in decreasing order.\nAnswer: l, 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 233186964?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1363 - (266\/76)\/(14\/12) is divided by 91.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46660039.\nAnswer: 3517, 13267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.8 - -2. Let i(v) = -v - 41. Let g be i(-13). Let y = -26 - g. What is the closest to b in y, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -277*f**4*y**2 + f**4 - 2*f**3*y**3 + 2*f**2*y**3 - f**2*y**2 - 264*f*y**3 wrt f?\nAnswer: -6648*f*y**2 + 24*f - 12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l - 8. Let t be z(8). Suppose 3*h - 3*y - 21 = t, y - 28 = -4*h - 3*y. Suppose -o - h = -36. What are the prime factors of o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a - a - 3*a + (-2*a + 2*a - a)*(-1 + 3 + 0) + (18 + 4 - 104)*(-a + 2*a + 0*a) + (5*a - a - 5*a)*(-3 - 2 + 4) + 3 - 6 + a + a.\nAnswer: -83*a - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffg when three letters picked without replacement from fgffgfgfgffgff.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 5*p - 110, -3*p - 88 = -2*r + p. Let k = 254 + r. Is 21 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, -0.8, 1\/14, -7, 22\/25?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.669103 micrometers to kilometers.\nAnswer: 0.000000003669103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -22, -35, -36, -25, -2, 33?\n\"Answer: 6*b**2 - 31*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -409368 divided by 102342.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -332780903 by 47540129.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -5*y - 1. Calculate a(-18).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -37.5?\nAnswer: 7.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 84182\/14112 + 2\/((-4)\/14) and -85\/48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 5*f**2 + 3*f + 3. Let t = -3 - -6. Let a be n(t). Let c = a + 14. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-283)\/(-2) + 12\/(-8) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 0 + 8 + 0 + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**2 + 2*u - 1. Let c be k(-2). Let b be ((-20)\/15)\/((-1)\/c). Solve a - 10 = -3*v + 6, -b*a = -4*v + 16 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 1\/3, 1\/5, -23 in decreasing order.\nAnswer: 1\/2, 1\/3, 1\/5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/702)\/(-3*11\/(5148\/12))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(3) + (sqrt(3) + sqrt(3) + -3 - sqrt(3))*-4)**2 - (-2 + (sqrt(9)\/sqrt(3))**2)).\nAnswer: -72*sqrt(3) + 170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 - -111 - 9 - 52?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41559 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 16 - 14 = -3*k, -3*m = 3*k - 9. Suppose 0 = -3*y + k*y - 21. Let w be (-7)\/(2*3\/(-6)*1). What is the highest common factor of y and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-570)\/42 + 15)\/((-2)\/(-196)). Suppose 4 = -v*h + 138*h. Let m = -36 + 109\/3. Which is the third smallest value? (a) 1\/7 (b) m (c) h (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3 - 10220349*y**2 + 20440701*y - 10220351.\nAnswer: -(y - 1)**2*(y + 10220351)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 + -16. Suppose -33*t + 96 = -29*t. Suppose t*c - 90 = 21*c. What is the lowest common multiple of c and i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20532, -41623, -62716, -83811, -104908?\nAnswer: -126007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.595, -280, -3\/5, 0.2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lz when two letters picked without replacement from {l: 2, z: 3, k: 2, u: 4}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 4*f = 24. Suppose m = 7 + f. Let i = m + 17. Does 7 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 - 0.2. Let s = -4 + 8. Let z = 343\/5 - 69. Put s, f, z in decreasing order.\nAnswer: s, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**2 + 1780052*w + 24920336 = 0?\nAnswer: -890012, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 2*q**3 - 3*q)*(0 - 3 + 4) - 4*q**3 - 2*q**3 - 30*q**3 - q**3 + 2*q**3 - 2*q**3.\nAnswer: -39*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 333216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -10*i**2 - 4*i + 25. Let n(h) = -21*h**2 - 9*h + 51. Let o(y) = 9*g(y) - 4*n(y). Differentiate o(k) with respect to k.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1)\/w*w*w**(-1\/4)\/w*w)\/(((w**(-6)*w)\/w)\/w*w*(w\/w**1)\/w) assuming w is positive.\nAnswer: w**(23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - 3067039.88.\nAnswer: -3067037.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/299592 and 17\/9576.\nAnswer: 2097144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(190)*1 + (sqrt(190) + sqrt(190)*2 - sqrt(190))*2)\/(sqrt(1000) + sqrt(1000)*-3*-2 + sqrt(1000))*4.\nAnswer: 2*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, n: 5, g: 2}. What is prob of sequence gg?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*g - 26*g + 18924 = 46*g + 147*g for g.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736)*-2 - sqrt(304)*-2)**2 + (sqrt(171)*-1 + -2)**2.\nAnswer: 12*sqrt(19) + 5039","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/7 + 2*f\/7 + 24\/7.\nAnswer: -2*(f - 4)*(f + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-450)\/(-375)*5\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -10167.\nAnswer: -2033.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 97*i**2. Let k(f) = -375*f**2. Calculate k(l(g)).\nAnswer: -3528375*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 154 and 215876.\nAnswer: 16622452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203 + 203 - 162*f.\nAnswer: -162*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (713 - 713 - 617*d**4)*(-4*d + 4*d + 4*d).\nAnswer: -2468*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -26*y - 14. Let z(c) = 13*c + 6. What is -6*u(x) - 11*z(x)?\nAnswer: 13*x + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, f: 5}. What is prob of picking 3 f and 1 l?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/8 and 11\/34.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 y when two letters picked without replacement from ayayyys.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 4*b = -2. Suppose -63*y - 10469 + 10532 = 0. What is the closest to 0.2 in b, -4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25024 and 884.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, a: 7, p: 4}. Give prob of picking 3 a.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 5*m + 9 = 0. Suppose 0*n + m*n = -5*f + 13, -3*n = -4*f + 5. What is the second biggest value in f, -0.04, -2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 1084, -26 in decreasing order.\nAnswer: 1084, 1, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*c - 22*c + 460 = 37*c. Solve -c*g + 11 + 10 = -p, 0 = -5*p - 25 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 - 2*d. Let n be h(2). Suppose 0 = n*u - 5*w, -4*w = 4*u + w. Which is greater: 4\/9 or u?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2880551?\nAnswer: 31, 92921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 5 + 2)*(-2 - 6454*b + 9353*b + 5044*b + 3) in the form k + h*b and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -329560 divided by 164780?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2904 + 5003. Is 2 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8756, -35015, -78780, -140051, -218828, -315111, -428900?\n\"Answer: -8753*u**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 13) in base 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 1218.\nAnswer: 4872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*j + 1503 = 2974 - 2011 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + (1 + 0)*-2. Suppose -f*h - 3*g + 31188 = 2*h, -23384 = -3*h - 4*g. What is h rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 10*f**2 - 55*f + 11. Let u be k(6). Is u at least as big as 35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 5 (b) 0.5 (c) 4 (d) -17 (e) 42\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -7*y - 7*y - 1 + 3*y - 8*y. Let n be l(-3). Suppose -2*z + n = 5*p, 0 = -3*z - 6*p + 3*p + 66. Calculate the smallest common multiple of z and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fw when two letters picked without replacement from {l: 3, t: 1, w: 1, f: 10, z: 4}.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3330394, 3330400, 3330406, 3330412?\n\"Answer: 6*q + 3330388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jt when two letters picked without replacement from {o: 4, j: 5, t: 8}.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 153 in descending order.\nAnswer: 153, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*z - 9. Let d(k) = k + 2. Let w be d(z). Suppose w*a = -0*a - 15. Which is smaller: a or -18\/5?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02588476076 to five decimal places.\nAnswer: -0.02588","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 5*m - 23 = 0, -24 = -5*t + 2*m - 4. Let u be (-3)\/6 - (-1)\/t. Let d = 10 - 4. Solve 4*p - d - 10 = u for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, s: 1, y: 5, o: 1, p: 1}. What is prob of picking 1 t, 1 o, and 1 p?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 290034 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78098?\nAnswer: 2, 17, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 + -19. Solve k - 3*k + 5 = -3*s, u*k - 20 = -4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19655*h**3 + 39*h**2 - 15*h - 2 wrt h.\nAnswer: -117930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 2232 = -3*v + 5*w, w = 4*v - 2976. Suppose 0 = -4*p - 28 + v. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 11, e: 9}. What is prob of sequence bee?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1038 + 3*f**2 + f - 1038.\nAnswer: 3*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 37*r + 80. Determine i(34).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13604991317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 747528668?\nAnswer: 2, 31, 6028457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 1:49 AM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 446383 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -7, -14, 1\/7, -6?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**4\/3 + 4*t**3 + 14*t**2 + 52*t\/3 + 7 = 0?\nAnswer: -7, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*h, -2*p + 7*p + h - 6 = 0. Let q be (3 + -4)*p*6. Let x(l) = -l**3 - 5*l**2 + 5*l - 3. Let k be x(q). Solve 0 = k*w - 8*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence me when two letters picked without replacement from {t: 6, x: 2, m: 3, e: 1}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-756)\/(-24))\/(2271\/(-6056))\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9*1*(-3)\/(-9). Suppose 3*n - 6 = -3*v, 4*n - n + 2 = v. Suppose v*l = -b*l + 25. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.154, -0.3, -1, -0.1, 5?\nAnswer: -0.154","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*y - 5*g, 2*y - 4*g - 22 = 7*y. Sort y, -0.4, 2\/11 in ascending order.\nAnswer: y, -0.4, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -1 + -16 - -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f**3 - 20*f**2 - 6*f - 12. Does 6 divide n(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22.2 - -22.2. Which is the nearest to r? (a) -4 (b) 3 (c) 0.4 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 30*h - 227. Determine f(-25).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 1272*d - 555. What is q(0)?\nAnswer: -555","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/46 and -8\/207.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -413, -1711, -3891, -6959, -10921?\n\"Answer: -o**3 - 435*o**2 + 14*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34790 greater than or equal to 34772?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-264480)\/(-6080))\/((-3)\/(-2)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**(-13\/2))**(3\/22))**(-6\/17))**(-5))**(-10) assuming n is positive.\nAnswer: n**(2925\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4890855, -9781709, -14672563, -19563417, -24454271, -29345125?\n\"Answer: -4890854*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-12)*6\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 7*x - 8. Let s be j(0). Let q be ((-36)\/s - 4)\/((-1)\/(-6)). Solve -5*h = -2*r + 19, -2*h - 31 = q*h + 2*r for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15086)\/4367 - (-5 + 0 + 1)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1178*w - 485 = 882 - 189 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c**2 + 0*c**2 + 3*c**2)*(41 + 57*c - 41) as l*c + r + h*c**3 + y*c**2 and give h.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 8*u - 7. Let f(i) = -3*i**3 - i**2 + 2*i - 1. Let a be f(-2). Let d be (-42)\/(-35)*a\/2. Let m be b(d). Solve -6 - m = 2*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15261 + 9*p - 15261 - 8*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + (-16 - -32) - -18.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/46679519 and -95\/175652?\nAnswer: 186718076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 6)*1\/(-5). Let i(n) = -73*n**2 + 2*n - 1. Let z be i(a). Let j be (-9)\/36 - 34\/z. What is the third biggest value in j, 0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 2\/3 (c) 129399\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11 times 2259180\nAnswer: -24850980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -p**4\/6 + p**2 + 6*p. Solve u(a) = 0 for a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47 + 467. What is the third biggest value in c, 1, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 9, -4, 17, -5 in decreasing order.\nAnswer: 17, 10, 9, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 4*t - 6*t + 48, 0 = 4*w - 8. Calculate the remainder when t is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 28176768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - m - 116, -40 = 5*y - 7*y + 2*m. Let l = -1.97 + -0.03. Which is the third smallest value? (a) -0.1 (b) 2\/9 (c) y (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34010*m + 34010*m + 2122*m**3 + (-m**2 + 0*m + 0*m)*(0 + 0 + 2*m).\nAnswer: 2120*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((1\/5*3)\/(890\/28925)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37688567 to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of 0*g**5 + 16*g**2 + 0*g + 4 + 77\/12*g**4 - 31\/210*g**7 + 0*g**6 + 0*g**3. What is the second derivative of c(q) wrt q?\nAnswer: -372*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - k - 2*k + 3 = 0, 21 = 2*v + 3*k. Suppose 50 - v = 4*j. Calculate the lowest common multiple of 8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(891))**2 + 5 - (sqrt(275)*6 - (2 + sqrt(396) + sqrt(11)))**2.\nAnswer: 92*sqrt(11) + 122486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1628 * 0.4\nAnswer: -651.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 x, and 2 e when four letters picked without replacement from {l: 2, r: 1, e: 3, x: 1}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -307*a + 40*a + 907*a + 93*a + 569*a to n + f*a and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 53 = -5*w, 5*n = 2*w - 0*w + 91. Let q(s) = 35*s - n*s - 17*s. Let k(h) be the second derivative of -h**4\/6 + 18*h. Give k(q(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 169\/5, 0.02, -0.1?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 188827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62*m**3 - 54*m**3 + m**2 - 3*m**2 + 5*m + 15*m**3 - m to the form b*m**2 + w*m + r + p*m**3 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9604041656 + 9604036788.174957. Let v = a - -4873.125. Let d = v + -5.3. What is d rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -88917\/2 + 44494. What is the common denominator of 103\/9420 and l?\nAnswer: 9420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of h**4\/3 - 220*h. Let k(g) = -13*g**2 + 4. Determine a(k(u)).\nAnswer: 676*u**4 - 416*u**2 + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -97.\nAnswer: -8\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 14*o - 245. Is v(37) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 + 140*k**2 + 135*k.\nAnswer: 5*k*(k + 1)*(k + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1053 + -4?\nAnswer: 1045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 6510 = -y, 5*y - 22*k = -20*k + 32529. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus -44.9?\nAnswer: 43.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3663 and 4477?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, 105, -2, 2, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99450 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -404*n + 419*n - 75 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**2 + 2*s - 1. Let x be -1 + 2 + (6 + -3)*-3. Let u(m) = -5*m**2 - 6*m + 3. Give x*f(h) - 3*u(h).\nAnswer: -h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -2. Let p = 23 + v. What is the remainder when p is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*d = -46*d - 68 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 5:11 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 q when two letters picked without replacement from {m: 1, c: 2, q: 2, t: 1, a: 1, u: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41384 and 5600?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1102811491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 1 - 5 = 0. Let z be 4\/14*(41 + -41 - 1). Which is the second smallest value? (a) l (b) -0.08 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 355 and 15?\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-864)\/(-96))\/(18\/20).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12000021 - -12222100012?\nAnswer: 20011100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-5*-5*sqrt(960) - sqrt(960))\/((sqrt(15) - (sqrt(105)\/sqrt(7) - sqrt(15))*3)\/sqrt(5)))**2.\nAnswer: -552960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 19, 39, 65, 97?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, 56, 182, 328, 500, 704, 946, 1232?\nAnswer: 1568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.04 smaller than -320.342?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5*h = 164. Suppose -2*k - g = 2*g - h, 0 = -g - 4. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (14\/18)\/(((-392)\/(-48))\/7). Factor 0 + 2*k**3 - 2\/3*k**4 - 2*k + b*k**2.\nAnswer: -2*k*(k - 3)*(k - 1)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z + 14. Calculate i(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 38, 142, 332, 614, 994, 1478?\n\"Answer: m**3 + 37*m**2 - 14*m + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11623 - 11563.01. Let o = -60 + g. Which is the closest to -1? (a) o (b) -2\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z = -21*z + 318. Is 6 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*o - 108 + 156 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(300) + (sqrt(300) + sqrt(300) + 0 + sqrt(300))*-3.\nAnswer: -80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from uucqqqqqcuqtttqtcc?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j**2 - 7*j + 2. Let o(r) = 21*r**2 + 37*r - 10. Calculate 2*o(i) + 11*p(i).\nAnswer: -2*i**2 - 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 37 + 3. Let n = d - 14. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**5\/7 + 34*v**4\/7 - 43*v**3\/7 - 2094*v**2\/7 - 6336*v\/7 - 4320\/7 = 0 for v.\nAnswer: -4, -3, -1, 12, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -11, 1\/202, -3\/7 in descending order.\nAnswer: 1\/202, -2\/13, -3\/7, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29474.0000012243 - -29474. Round v to 7 decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14068 - 14068.00037991. What is p rounded to five decimal places?\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 607985219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -3, 2\/13, -8\/7?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -55*l**2 - 2399*l - 474. Let a(o) = -160*o**2 - 7198*o - 1423. Let d(x) = 6*a(x) - 17*v(x). Factor d(y).\nAnswer: -5*(y + 96)*(5*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 1618*j. Let g(l) = -860*l**2. What is g(a(c))?\nAnswer: -2251414640*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2190 = 3*d - 5*m, 0 = 6*d - 9*d - m + 2226. Calculate the greatest common factor of 20 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -y**4\/24 - y**3 - y**2. Let c be w(-5). What is the units digit of c\/((-1)\/7)*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -204 + 2024?\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -5*y**2 - 6*y + 6. Determine j(-4).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 2*s + 2. Let y be j(-5). Suppose -32 = -m - 3*w, -y - 57 = -3*m + 2*w. What are the prime factors of m?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*f - 5*z + 5 = 20*f, 3*f + 4*z = 39 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 4*p + l - 38 = 0, 70*p + 5*l = 66*p + 148 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n - 684 = -33*n - 950 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -17 + 0 - (35 - (24 - -16)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 3*t + 147124 - 147105, 2*s = 6*t - 98 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vvvdvdvvbdvdvvdvv?\nAnswer: 33\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 122177 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10579402681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2033 (base 8) to base 15.\nAnswer: 4a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -459 equal to -452?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -1 - 2 - (-4 - -7)) + 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sszhssqrqhsssshsrsss. What is prob of sequence rzh?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*d**2*q**3 - 58*d**2*q - 82*d**2 - 2806*d*q**3 wrt q.\nAnswer: -84*d**2*q - 16836*d*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -6*n. Let l be 64\/(-210) - (-2)\/5. Which is bigger: l or n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53 + 53.2. Let r = 2\/1075 - 6472\/11825. Let f = 0.3 - 0.2. Which is the smallest value? (a) z (b) f (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4477 and -4476 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-1*((sqrt(6048) - (sqrt(6048) - sqrt(6048)*-2)) + sqrt(6048)))\/(-3*sqrt(6)*3*2) + 4)**2.\nAnswer: 4*sqrt(7)\/3 + 37\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10992 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**3\/m)\/((m**3\/m)\/m))**(-19) assuming m is positive.\nAnswer: m**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 34280.78 centuries?\nAnswer: 41136936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -98019.3 to the nearest one thousand.\nAnswer: -98000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 91 = -6*w. Suppose -5*s + w + 98 = 0. Solve s + 4 = 5*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6887.06 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (16 - (-3 - (-9 + 5))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, e: 2}. What is prob of sequence eerr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5952 + 2\/2 + -2*(-3 + 4)?\nAnswer: 11, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 405 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*n - 2*n, 0 = -3*i - 3*n + 357. List the prime factors of i.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmi when three letters picked without replacement from {z: 2, e: 4, i: 3, f: 3, m: 4}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**2*o\/o**(9\/5)*o*o\/(o*o**(-23)\/o)*o*o**(-7)\/o)**(8\/11) assuming o is positive.\nAnswer: o**(648\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - b. Let t be 81\/(-27) - 46\/(-14). What is the closest to 4\/5 in t, b, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.097 * 0.336\nAnswer: 0.032592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 1. Suppose 3*b = 9, -6*t + 197 = -t + n*b. Let s(i) = 20*i - 1. What is the remainder when t is divided by s(1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(45) + -4*sqrt(320) - (4 + -3*sqrt(605))*-2)**2.\nAnswer: -570*sqrt(5) + 45134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a microgram in nanograms?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*z = 44*z + 42. Calculate the least common multiple of 18 and z.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/3))**28*(r\/(r\/((r*r\/(r\/r**2)*r)\/r)))**(-1\/17))**28 assuming r is positive.\nAnswer: r**(-13580\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 - (-9 + (-6 - 5) + 16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 514706*q + 54 = 514708*q, -4*k + 20*q = -120 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 504991 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 11\/25 (c) 133 (d) -0.01 (e) 18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**3 - 164*a**2 - 51*a - 2503. What is the hundreds digit of z(-82)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 16, 726, 1\/4, -2\/7, -0.04, 2\/23?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 13*s**2 + 9*s + 249. Let o(f) = -6*f**2 - 4*f - 124. Let c(w) = 4*i(w) + 9*o(w). Let l(v) = -v**2. What is c(l(z))?\nAnswer: -2*z**4 - 120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4165.330594 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -40. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1266, 6, 178 in decreasing order.\nAnswer: 1266, 178, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1132101 + 103302202?\nAnswer: 111100303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.493181 litres to millilitres.\nAnswer: 1493.181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 6:41 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21 + 0*s**4 - 10 + 8*s**4 wrt s?\nAnswer: 32*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20448\/65 or -314?\nAnswer: -314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 12664 = 5*d, 5056 = 3*d - d - 4*h. Suppose 2*p + p = d. Is (p\/(-6))\/(20\/(-30)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -50, -53, -56?\n\"Answer: -3*k - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12102, 48296, 108580, 192954?\nAnswer: 301418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t**3 + 3*t**2 - t - 1. Let z be y(2). Let n = -11 - z. Let u(c) = -c**3 - 4*c**2 - 2*c - 5. Let d be u(-4). Solve -n*f = -d*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 10, 4*o + 3*l = 829 - 219. Solve -o*s = -147*s - 56 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -742.36 rounded to zero dps?\nAnswer: -742","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m. Let i = -5834 + 5833. Let n(y) = -3*y + 1. Give i*n(u) - 2*t(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3 = 4*s - 3, -2*i - 5 = -3*s. Solve 2*k + 3 = -s for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 793*o**2 + 797*o**2 + 800*o**2 - 2394*o**2.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 542502 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (81*o + 25*o - 689*o)*(2 - 1 - 6)*(3*o + 2*o + o).\nAnswer: 17490*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**(2\/3)*t)\/t)**45 assuming t is positive.\nAnswer: t**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 5*w - 32, -5*x + 25 = -0*w - 2*w. Solve -3*k + 2 + x = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 3*r + 2. Let t(u) = -19*u - 1. Let p(h) = -15*h - 1. Let x(v) = -5*p(v) + 4*t(v). What is w(d) - 2*x(d)?\nAnswer: -d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by 66.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8104 is divided by 986?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -23*t + 447. Let i be y(19). Solve i*u = -0*u + 20 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of 13*d + 0 - 3\/110*d**5 - 1\/33*d**3 + 0*d**2 - 1\/22*d**4 - 1\/165*d**6. Factor w(z).\nAnswer: -2*z*(z + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1642.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-130)\/(-39) - (-10 - -14)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 45 from -69.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -5*p - 52, 162*p + 475 = -65*p + 45*v - 46*v for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 113 + 323511?\nAnswer: 323624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 92\/3 - 30. Which is the third biggest value? (a) 1\/6 (b) f (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d*n**3 - d*n**2 - 3*d*n + 6*d + 291*n**5 - 47*n wrt n.\nAnswer: 12*d*n - 2*d + 5820*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 342498 bigger than 5822445\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -5*v**2\/2 + 9. Let o be l(2). Let i = 52 + o. Does 21 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence scdc when four letters picked without replacement from ssdcddsxss?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.2012839g?\nAnswer: 201283900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -553 - -400?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 5*g**2 + 19*g + 6. Let x(m) = 2*m**2 + 9*m + 3. Let i(f) = 3*l(f) - 7*x(f). Let z be i(6). Which is the nearest to 0? (a) z (b) 0.4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*3*(sqrt(245)\/(sqrt(175) + (sqrt(175) + sqrt(175) + -1*sqrt(175) + sqrt(175) - sqrt(175))))\/(4*sqrt(77)\/(sqrt(33)\/sqrt(3))).\nAnswer: 3*sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 15405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1883 - 1870. Solve -z + 4*d - 9 = c, -4*z - 2*d = -2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.09? (a) -0.2 (b) -73.5 (c) 12.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 71929.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/4928 and 13\/616?\nAnswer: 4928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*b - 74737 = 51803. What are the prime factors of b?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/44*8\/(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-7\/3)*q\/(q\/(q\/((q**(-14)\/q)\/q*q*q)))*q)**(-23) assuming q is positive.\nAnswer: q**(-943\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, r: 6}. What is prob of picking 2 w?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 11 = -7. Solve q*a + 2*c - 12 = 4*c, 3*c - 22 = -4*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294*q = 263*q + 310 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*j - 19038 = -5032. Solve -20*t + 49 = j for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6456318743 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/4 + 45\/20. Suppose -z + 3*z = -d*u + 6, 7 = 3*z + u. Let f(t) = -5 + 2*t - z - 4*t + t. Calculate f(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 920 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4\/7 - 4*a**3\/7 + 12*a**2\/7.\nAnswer: -a**2*(a - 2)*(a + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k**5 - 6335*k**4 + 61*k**3 - 865254*k**2 - 7 wrt k?\nAnswer: 120*k**2 - 152040*k + 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 40*q - 1512. Let z be v(38). Solve z = -19*k + 21*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f + 511 - 190 + 267.\nAnswer: f + 588","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 9:45 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sjss. Give prob of sequence js.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (315\/84 - 12)\/(3\/(-137560)). Round s to the nearest ten thousand.\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -515.533776 + -0.006224. What is g rounded to the nearest ten?\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17 + 63\/4)\/((-1)\/4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 3. 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: Let a(g) = 202*g**3 - 7*g**2 + 5*g + 28. Let k(t) = -303*t**3 + 11*t**2 - 8*t - 44. Calculate 8*a(n) + 5*k(n).\nAnswer: 101*n**3 - n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.731363 litres to millilitres.\nAnswer: 2731.363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*u**2 - 41 + 15*u**2 + 75*u**3 + 43 + u + 6*u**4 - 25*u**2 to the form c*u**3 + p*u**4 + h + z*u + g*u**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.68 and 0.36543.\nAnswer: 1.04543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27578, -109839, -246808, -438515, -684990?\nAnswer: -986263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 f, and 1 n when three letters picked without replacement from ncmnmnzfnxxxffmfm.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24487\/3 - 8163. What is the fifth biggest value in -5, 2, -1\/5, -0.3, a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 3*z + 17 = 0, 321*z - 324*z - 37 = w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(2185920\/50765716) + (-4)\/30. Let n = 51\/4048 + i. Let b = n + 209. Which is greater: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 t, 1 q, and 1 l when four letters picked without replacement from mqgqtli.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-119 + 240 + 296)*(-i**2 - 29*i + 29*i) as w*i + h*i**2 + t and give h.\nAnswer: -417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2941 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*k + 4864 = 42*k - 16*k for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2710 * -0.18.\nAnswer: -487.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 114816.4mg?\nAnswer: 114816400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -48*v + 676. Let q be h(14). Solve 5*j - 10 = 0, -73*j + 75*j + q = 2*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11221933?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 26*p - 148. Determine b(7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53 by -7999.\nAnswer: -53\/7999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35c2 (base 13) to base 14.\nAnswer: -2aa6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/9)\/2)\/((-1)\/3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - 25. Let z be (14\/(-6))\/((-1)\/6). Suppose -o*i + u = -1 - 5, 0 = -3*i - 2*u + z. Which is the closest to 0.2? (a) i (b) 0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/12)\/(((-15)\/(-7))\/((-744)\/651)).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.7343 and -223931123?\nAnswer: 223931123.7343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.17+0.041759\nAnswer: 0.211759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*s**2 - s**2 + 0*s**2)*(-4094 - 5239 + 2478 - 359 - 9654 - 3641) in the form j + f*s**2 + n*s and give f.\nAnswer: -143563","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 13*p - 28 = 0. Suppose -99 = -p*b + o, -5*b + 92 = -2*o - 157. Calculate the least common multiple of 24 and b.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10724, -9646, -8568?\nAnswer: -7490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 20 = -5*d. Suppose -d*l + l + 4*b = 0, 5*b - 1 = 4*l. Calculate the remainder when 1 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -781 (base 9) to base 15.\nAnswer: -2ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 1 + 11. Let j = -30141\/8 - -3765. Which is greater: r or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d - 3. Let p be s(-3). Let w(z) = 4*z + 1. Let y be ((-24)\/36)\/(2\/9). Let a(i) = 9*i + 1. Let o(j) = y*a(j) + 7*w(j). Give o(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 103? (a) 1 (b) 3 (c) -3\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/27 and 11\/244911.\nAnswer: 2204199","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 172558 divided by -722.\nAnswer: -239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1057 - -3?\nAnswer: -1054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 21441*m + 31. Let f be u(9). What is f rounded to the nearest 10000?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1096456, -1096406, -1096346, -1096270, -1096172, -1096046, -1095886, -1095686?\nAnswer: -1095440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 1061667?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2463586 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*u + 18*u + 1498. Let s = 331 + u. Calculate the highest common divisor of 13 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s - 8. Let b(g) = 44*g - 132. Let j(v) = -b(v) + 4*q(v). Let m be j(2). Factor 0 - 2\/15*d - 2\/15*d**m - 2\/5*d**2 - 2\/5*d**3.\nAnswer: -2*d*(d + 1)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10076 = -10*r + 36262 + 58524. List the prime factors of r.\nAnswer: 43, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**3 - 101*k**2 - 149*k - 91. Determine o(-49).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -41?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/6*49\/(-196).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 2 = -a, 19*a - 4*u - 351 + 358 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x + 2*x**3 + 5*x)*(2*x**2 + x - x) - 544263*x**4 + 544263*x**4 - 846*x**5.\nAnswer: -842*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 7 = 10*c. Suppose -c*a = -0 + 21. Let h be 3\/(-36)*a*-4. Let x(d) = -d**2 - 2*d - 1. What is x(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 505 and 335.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 + 29. Solve 4*u + o - 2 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 106ba99 (base 12) to base 14.\nAnswer: 5b7045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (1 - 1) + -50 + 52 + -32.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-103)\/(-618))\/((-2)\/156)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2668)\/145)\/(30\/75).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -2302137?\nAnswer: -230213b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 6) in base 14?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3*q = 0, -3*c + 32 = -5*c - 18*q. Put -19, 5, c in descending order.\nAnswer: 5, c, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22282125 rounded to four dps?\nAnswer: -0.2228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y + 10737. Let m be j(0). Let f = 7411 - m. Let r = -1849 - f. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -2\/750369?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 6*h**2 - 5*h + 2. Let j be l(5). Suppose -4*p - 20 = -2*y - j*p, 3*p + 60 = 5*y. Suppose 2*t = -3*t + y. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 338977329 to the nearest integer?\nAnswer: 18411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 15814 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*7\/(-4)*14. Suppose 134*d + 120 = 388. Factor 149*u**d - 65*u - 291*u**2 + z*u**2.\nAnswer: 5*u*(u - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116333103 is divided by 58166537?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41 - 52. Let n = m - -13. Suppose 0*q - 2*q - 10 = -5*g, 0 = -5*q - 5*g + 10. Solve -n*f + q = -6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b - 1. Let v(n) = 5*n - 4. Let u(d) = -6*h(d) + 2*v(d). Let z(x) = -3*x + 1. Let k(t) = 2*t + 3 - 3. Let c be k(3). Give c*z(q) + 4*u(q).\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-48)\/(-72))\/(2\/(-42)). Let v = -8255 - -165179\/20. Calculate the common denominator of h\/(-91) - 1167\/(-104) and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -4 (b) 0.1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/5 (b) 1\/70 (c) 35 (d) -22 (e) -2\/3 (f) 16 (g) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) -5 (c) 5 (d) 0.6 (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 117*v**2 - 818*v - 5277. Give d(-110).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z - 4. Let s(n) = 1. Calculate -f(h) - 6*s(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**5 + 2*a**4 - 330724*a**3 - 1182820*a wrt a?\nAnswer: 20*a**3 + 24*a**2 - 1984344*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -24*a + 266. Determine i(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oqgggqgkgqoqggp. What is prob of picking 1 k, 1 o, 1 q, and 1 p?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 517494?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + -5 - (0 - 2175)\/5. Let p = n - 148. Are 283 and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*((l*l**(-1\/6))\/l*l)\/l)\/l**(2\/17))\/(l**2)**(-2\/5) assuming l is positive.\nAnswer: l**(773\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**3 + 6*h**2 - 4*h + 3. Calculate the remainder when a(2) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + x = 4. Sort -4, 16, x in descending order.\nAnswer: 16, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(48\/580)*-10. Suppose 5*l + 130 - p = 0. Suppose 0 = -0*c + 2*c - 60. What is the remainder when l is divided by c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 n when two letters picked without replacement from {x: 5, n: 5, p: 1, f: 5}?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 5*s - 1. Let q be g(-3). Let o = -2 + q. Suppose -32 - 28 = -o*p - 5*y, 24 = p + 3*y. Is 5 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 6:29 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 130478.84205 from 42.1.\nAnswer: -130436.74205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (5 - ((-8 - -12) + 5)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 47872429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 417 + 416 - 1255 - 94*j + 422.\nAnswer: -94*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 2:42 AM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-48 + 45) - 45\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) 2 (c) 4\/3 (d) -6824\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 1372474560?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_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: Calculate the greatest common factor of 72 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -223, -440, -659, -880?\nAnswer: -1103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/122679 and 65\/380421.\nAnswer: 120593457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -20*k**3 + k**2 + k. Let d be c(-1). Suppose 5*z + 38 = -x - 3*x, d = -5*z + 5*x. Is z greater than or equal to -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -i**3*x + 25075*i**3 + 2*i*x**3 - 8382*x**2 wrt x.\nAnswer: -i**3 + 6*i*x**2 - 16764*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 - 65*q + 2. Let p be v(32). Let s = p + 38. What is the smallest common multiple of s and 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-14451)\/(-6)*(-30 - -32)\/(1\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -330*a**2 - 7*a + 7. Let o be d(11). What is o rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.8 and -7.\nAnswer: -5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*q**2*u + 2*q**2*x + 9*q - 150*u**2*x + 26*u**2 with respect to x.\nAnswer: 2*q**2 - 150*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**2 - 6*p - 5. Let h be 18\/14 + 8\/(-28). Let k(g) = g + 1. Determine h*m(q) + 4*k(q).\nAnswer: -2*q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((-6)\/(-4)) + 28\/(-42). Suppose s = -21*r + 14*r + 1232. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12\/17 in 1\/3, 4\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1140 divided by 114\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 - 7 + 2 + 3)*(-c**2 + c**2 + 6*c**2).\nAnswer: 6*c**4 - 12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 279 + -79 + (-22 - 53).\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, i: 8, q: 1, a: 2, f: 1, g: 1}. Give prob of sequence qa.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 633 - 631. Let c(v) be the third derivative of 5*v**l + 0*v**4 - 1\/20*v**5 + 0*v + 0 + 0*v**3. Let n(w) = 3*w. What is n(c(b))?\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of v**7\/630 + 19*v**6\/540 - v**5\/18 + 139*v**3\/6 + 7*v + 8. Let f(y) be the second derivative of k(y). Factor f(d).\nAnswer: 2*d*(d + 10)*(2*d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -238 divided by 7?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = v - 57, -7*v + 4*u + 165 = -2*v. Suppose 2*x - 3 = v. Is (3\/2)\/(2\/x) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a tonne in kilograms?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2*c = -19206, c - 4866 = 4*i - 43266. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/29, 0.1, -0.4, 8?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 124 - -5625174?\nAnswer: 5625320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -73*u**3 + 11*u**2 + 9*u - 76. Determine o(-3).\nAnswer: 1967","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 119*j**2 - 766*j + 26. What is c(6)?\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(833) + (sqrt(833) - -2*sqrt(833)) - sqrt(833) - sqrt(833)) + 2)*-2)**2 + 2.\nAnswer: 560*sqrt(17) + 13430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.1 - 13.7. Let n = 8.123 + g. Round n to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 581 is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/6 + (-28)\/(-12). Let r(b) = b**3 - 2*b**2 + 2*b. List the prime factors of r(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/8 + (-69)\/(-12). Suppose -8*c = -10*c + 14. Let q(u) = -c*u**2 - 6*u + 9 + 8*u**2 + 0*u**2. Calculate q(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 + 0 + 2)*(d - d + d**2 + (-2*d + 5*d - 4*d)*(1 - 1 - d) + d**2 - 7 + 7) to f + m*d + h*d**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*f - 6, 2*s - 4*f + 7 = 5*s. Let n = -6.8 + -1.2. Let t = 9 + n. Put s, -5, t in ascending order.\nAnswer: -5, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(-10) - (58\/4)\/(-1). Suppose y = 3*x + 3. Suppose 0 = -8*a + x*a - 16. Put a, -0.1, -2\/7, 4 in descending order.\nAnswer: 4, -0.1, -2\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 452463 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 4. Let s be 7\/1 + 3 + -4. Let m be (s*-1)\/(1\/1). Let z be g(m). Is -1 not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75)\/(2*sqrt(5) + sqrt(5)))\/sqrt(5) - ((-2*sqrt(108) + sqrt(108))**2 + 1 + -1*sqrt(3))) + 4.\nAnswer: -105 + 4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62084 - 62085. Let t = 2\/5 + -1\/15. Which is the fourth smallest value? (a) g (b) t (c) -0.2 (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1*2*-2)\/(-2). Let t(y) = -2*y - 4*y**2 - y**3 + w*y - y + 1. Determine t(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r - 2*r + 14 - 5 + r**3. Let f be (0\/(7\/((-7)\/(-2))))\/2. Suppose f = -71*a + 63*a. What is c(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w + 1. Let p(o) = o**3 - 6*o**2 + 7*o - 2. Let c be p(4). Let v be u(c). Let d = v + 26. Solve -3*z + 3 = d for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 23\/7, -0.012, 77.48?\nAnswer: 23\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 251677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93 = -153*h - 366 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*d + 5*d. Suppose -2*u = -8 + d. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 28 - 3 = 5*m, 2*m - 17 = -3*n. Suppose 9*w - n*w = 0. Solve w = 5*u - 0*u + 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15423 and 4770.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 28*l - 54. Let a be p(22). Let i be 6*2\/968*104\/a. Is i at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h**2 - 118376 + h**2 + 118377 + h**2 - 2971*h to the form l + m*h**2 + k*h and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 920.866 minutes to microseconds.\nAnswer: 55251960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-10)*-5)\/((-3)\/20). What is the common denominator of 7\/18 and -254*(15\/q + (-34)\/(-24))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18835605, -37671205, -56506797, -75342375, -94177933, -113013465, -131848965, -150684427?\nAnswer: -169519845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/16 and -43\/57108796.\nAnswer: 228435184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2 - 3 - 3*u - 20*u. Let a(x) = -12*x**2 - 14*x + 49. Let v(p) = 5*p**2 + 6*p - 21. Let c(d) = 3*a(d) + 7*v(d). Determine m(c(g)).\nAnswer: 23*g**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -70*o - 219. Let z be c(-8). Suppose -2*u - z + 349 = 0. Solve -2*p - 3*l - 17 = 0, p + u*l + 24 = -2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + 1. Let i(a) be the third derivative of a**4\/8 - a**3 - 19*a**2. Let b be i(2). Solve b = s*w - 13 + 3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -220002331022 (base 4) in base 13?\nAnswer: -2237372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9420489 or -9420485?\nAnswer: -9420489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2649 + 2649. Solve 3*n - 2*k = -6, s = 5*n - 6*n + k - 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 349513475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g**3 - 3*g**2 + g + 1. Let a be n(1). Solve -v + a*v = -2*d - 1, 0 = -v + 2*d - 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t + 8*t = -19*s + 10, 3*t - 3*s + 178 = 148 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 - -46. Let k = t - 19. Suppose -2*v + k*p + 43 + 85 = 0, 3*p = 5*v - 324. List the prime factors of v.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -12. Let f be m + (-5)\/(10\/4). Calculate the common denominator of 41\/2 and 17*f\/(32\/(-5)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32381048?\nAnswer: 2, 7, 73, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g + 3. Calculate the remainder when r(3) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2. Suppose -3*g = -5 - 1. Suppose -2*u = -u + g, u + 8 = 3*a. Let k(q) = 14*q**a - 3*q**2 - 3*q**2 - 4*q**2. Give k(s(w)).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -122011 (base 3) in base 13?\nAnswer: -298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 98, 0, 1 in decreasing order.\nAnswer: 98, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 25410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 865628.3 millilitres?\nAnswer: 865.6283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -83, -5, -4, 8575 in ascending order.\nAnswer: -83, -5, -4, -2, 0, 8575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, k: 2, v: 2, j: 1, d: 1}. Give prob of sequence vvg.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c**3 + 5695*c**2 - 315720*c - 94225680 = 0.\nAnswer: -1179, -108, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10581211, -10581209, -10581207, -10581205?\nAnswer: -10581203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3221 is divided by (-8)\/(-40)*75 - -16?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1515719 + 1516247. Let -484\/5*k**5 - g*k**4 - 5512\/5*k**2 - 5492\/5*k**3 - 512\/5 - 2688\/5*k = 0. Calculate k.\nAnswer: -2, -1, -8\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of y**3\/6 + y**2\/2 + 11*y. Let r(j) = -4*j**2 - 22*j - 18. Let z(n) = -r(n) - 10*x(n). Determine q so that z(q) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 1. Let h = -2 - -10. Let x = -10 + h. Which is the nearest to x? (a) -1 (b) i (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4*s - 14 = 0, w + 4*w - 25 = 5*s. Suppose -1 = 2*y - w. Suppose y*g + 1536 = 4*g. Calculate the greatest common divisor of g and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (1 - -31) + (3004 - 2941)\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j + 1. Let l be h(-2). Let c(q) = -6*q**2 + 4*q - 4. Let u(x) = 7*x**2 - 5*x + 5. Let b(a) = l*c(a) - 4*u(a). Let f(y) = 4*y**2. Determine f(b(d)).\nAnswer: 16*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j**2 - 5*j**2 + 0*j**2)*(4 - 10 + 0)*(-25 + 399 - 13)*(j + j + 0*j) in the form g*j**2 + p*j**3 + z + k*j and give p.\nAnswer: 25992","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*q**2 - 78*q + 16*q + 15*q + 1484 + 21*q - 280*q**4 + 24*q wrt q.\nAnswer: -3360*q**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1899*a - 2679*a + 3797*a.\nAnswer: -781*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1440)\/sqrt(2) - sqrt(20)) + sqrt(20) + -5.\nAnswer: -5 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4219 is divided by 900.\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73358924?\nAnswer: 2, 19, 965249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b**3 + 11*b**2 + 3*b + 11. Let v(k) = 10*k**3 - 34*k**2 - 10*k - 34. Let h = 290 - 283. Let q(t) = h*x(t) + 2*v(t). Determine q(9).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30621143 by -4374449.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/4 of a millennium?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -827.4547 - -5.1647. Let y = 837 + t. What is y rounded to zero decimal places?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29490780 and 3135.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 2*l + 2. Let z be y(3). Suppose -2*k + 3 = -z. Suppose -k*p + 50 = p. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1302396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**5\/13 + 946*v**4\/13 + 6488*v**3\/13 - 16776*v**2\/13 = 0.\nAnswer: -466, -9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 64553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 192 + 11 = 2*n, 124 = 2*p - 2*n. What is the least common multiple of p and 8?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/3)*v\/((v\/(v\/v**(-2\/15))*v)\/v))\/(v**11\/v**(2\/5)) assuming v is positive.\nAnswer: v**(-137\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -42419*g - 44 + 42421*g + 27. Let t(w) = -2*w + 18. Give 5*t(s) + 6*z(s).\nAnswer: 2*s - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 5)*(0*p + p + 0*p)*(-2465042*p**3 + 2465044*p**3 - 174*p**2 - 7*p**2).\nAnswer: 4*p**4 - 362*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1496910034411 - 0.05.\nAnswer: -1496910034411.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 7 (c) 48.6 (d) 0.3 (e) -4\/3 (f) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-12))\/(((-1610)\/(-21))\/23).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -6*b**2 + 3*b - 4. Let z(a) be the third derivative of -7*a**5\/60 + a**4\/6 - 5*a**3\/6 - a**2 - 44*a. Give -4*s(l) + 3*z(l).\nAnswer: 3*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 8 = q, 4*q - 3*f = 2*q + 13. Solve -4*o + 10 = -q*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*l + 89. Let i = 46 - l. Is i a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -5*m**2 + 60*m + 123. Determine w(15).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46*f**3 + 5989 + 460*f**3 - 6035 with respect to f.\nAnswer: 1242*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -37\/6 (c) 0.107 (d) -2\/101\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Round 975038.751 to the nearest 100.\nAnswer: 975000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -7. Suppose 17 = 4*q - k*q. What is the remainder when 65 is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 2*t - 2*t**3 + t - 4*t - 2*t**2 + 4*t**4 to k*t + j*t**4 + i + b*t**2 + q*t**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (198\/2)\/3*1 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 12*r**2 - 13*r + 8. Let o be i(13). Solve -2*h + o = 2 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 10) in base 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.0462064 days?\nAnswer: 3992232.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10425209352*a**2 + a**3 - 10425209352*a**2.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3562 and 59?\nAnswer: 3503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0268443 nanoseconds to hours.\nAnswer: 0.00000000000000745675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43809 - 4801. Let a = h - 20342. Let n be 0 - -2 - (1 + -4)*a. What is n rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/15 of a day?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2443687519?\nAnswer: 7, 13, 26853709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of f**4\/24 + 635*f**3\/6 - 5*f**2. Is y(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8703862.\nAnswer: 2, 19, 199, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 20\/(-10))\/((-120)\/(-1770))*4\/10.\nAnswer: -59\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8966)\/(-26) + (-7 - (-651)\/91). Let r be (18\/d)\/6*14. Let a = -1\/46 + r. Sort 5, 0, a in descending order.\nAnswer: 5, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 0 + -10 + 6 - 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88004 and 4816.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2838767?\nAnswer: 2838767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of b**2*q*s - 16*b**2*q - 2*b*q + b*s - 2903*q*s wrt b?\nAnswer: 2*b*q*s - 32*b*q - 2*q + s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(3 - (-32)\/(-12)) + -4. Sort -3, -2, 4, a.\nAnswer: -3, -2, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/18)\/((-3)\/3). Let h = -54 + 52. Is h less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 329037786 to the nearest integer?\nAnswer: 18139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 621 and 0.2.\nAnswer: 621.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -1, 1414 in descending order.\nAnswer: 1414, 7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 13481 from -4553.\nAnswer: -18034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x**2 + x - 3. Let v(d) = -7*d**2 - 399*d + 1. Give v(i) + 2*w(i).\nAnswer: -i**2 - 397*i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -29703*x + 3623753. Give y(122).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t**3 + 4*t**2 + 4*t + 11. Give s(4).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 10:46 AM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.513412 to three decimal places.\nAnswer: -4.513","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/28 and -29\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (108\/24)\/((-78)\/208)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*y + 80 = -44 + 12 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1191, 1222, 1257, 1296, 1339?\n\"Answer: 2*a**2 + 25*a + 1164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a factor of 20273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 6*p = 4*x + 6, 0 = 5*x - 5*p + 15. Suppose x = 10*b - 577 - 373. Is b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110010 - 11011?\nAnswer: 11010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 113*l**3 + 3*l**2 - 12. Let h(f) = -3*f**3 - f**2 + 1. Determine g(s) + 3*h(s).\nAnswer: 104*s**3 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 - 127*u**2 + 1345*u - 3425.\nAnswer: -(u - 5)**2*(u + 137)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 123.\nAnswer: -1, 1, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*g - 8*g - 2*g + 5*g - 3*g + 0*g + (-2*g + g - g)*(0 - 1 + 0))*(3 + 1 - 3) to w + d*g and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14854.\nAnswer: 2, 7, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z*z*z**(-16\/5)*z))*z*(z\/z**(-4\/11))\/z)\/((z*(z\/z**(-2)*z)\/z)\/z)**12 assuming z is positive.\nAnswer: z**(-1916\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-46*s + 31*s - 21 + 24*s)*(2*s**2 - 4*s**2 + 0*s**2) to o*s + n*s**3 + d*s**2 + j and give n.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/12)*k)**(-30) assuming k is positive.\nAnswer: k**(-65\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22412 is divided by 489.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -7\/2*t**2 + 1 + 0*t. Let n(f) be the second derivative of f**3\/6 + 3*f + 23. What is n(w(m))?\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 654.653 millilitres in litres?\nAnswer: 0.654653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*s**2 + 21*s**2 + 2*s - s.\nAnswer: 11*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2721852 rounded to two decimal places?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.812721 hours in microseconds?\nAnswer: 2925795600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 62.1 * -10.7.\nAnswer: -664.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87345 divided by 4.\nAnswer: -87345\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssrrrrrdsd. Give prob of picking 1 s and 1 r.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 8*p**3 - 17*p**2 - 17*p. Let o(w) = 5*w + 21. Let y be o(9). Let x = 117 - y. Let j(l) = l**3 - 2*l**2 - 2*l. Give x*j(q) - 6*d(q).\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3 - 5 + 4 + g. Let w be i(7). Let s(y) = y - 2. Let a be s(3). Put -2, a, w in ascending order.\nAnswer: -2, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 - (98 + -101 - -67)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 274 (base 10) to base 12\nAnswer: 1aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 36.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1481 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 82891?\nAnswer: 82891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 3 - 3)*(2 + 3 - 3)*(-1 + 1 + s)*(0*s + 5*s + 5*s + (4*s - s - 5*s)*(-2 - 6 + 3)) in the form l*s**2 + c + w*s and give l.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + 37 - (-1 - -8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 9*i - 51 = 0. List the prime factors of i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 46*j + 1. Let g(d) = -2*d - d - d**2 - 1 - 2*d**3 + 2*d. Let a be g(-1). Is r(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2915 - 2891. Calculate the remainder when 7533 is divided by v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(465\/(-1389)) + -120 + 105?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3\/2 - 30*h**2 + 105*h\/2 - 25.\nAnswer: 5*(h - 10)*(h - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*b - 12 = -15*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 + 27. Which is the second smallest value? (a) m (b) -3 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (-48)\/6 + 5. Let q(l) be the third derivative of l**6\/120 + l**5\/30 - l**4\/8 - 2*l**2. Give q(u).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1343 - -2560. What is the tens digit of (k + 0 - -4) + (-10 - -12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (-2 + 1 + (-612 - -619))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7060624 or -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 24.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6038665.\nAnswer: 5, 83, 14551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5772356?\nAnswer: 2, 23, 62743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 0 - (24 + -11)) + -1 - -23?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 12:49 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5013957?\nAnswer: 3, 13, 128563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -3. Suppose m = k - 4. Suppose -15 - 6 = -7*o. Is o at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*u, -4*b + 14 = 2*u - 4*u. Suppose b*v + 12 = 7*l - 2*l, -15 = -5*l. Let g(h) = 46*h**3 + h**2 - h + 1. What is the tens digit of g(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6347743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*z - 424 = -22*z. What is the highest common divisor of z and 128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-4)*(-748)\/(-33). Let t(c) = 34 - d + c. Let n be ((0 - -1)\/1)\/(-1). Let h(l) = 2*l. Determine n*h(w) - t(w).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 6119997?\nAnswer: 18359991","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.955034 months to decades.\nAnswer: 0.14129195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25 + 25 - w**2 + (-5*w**2 + 0*w**2 + 3*w**2)*(-1 - 1 + 1) - 9*w**2 + 8*w**2 + 2*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.5995652*-0.2.\nAnswer: 0.51991304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-7)\/(-14))\/(2\/(-8)). Which is the nearest to -1? (a) d (b) 2 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**5\/60 + h**4\/8 + h**3\/6 + 17*h**2. Suppose 0 = x + 2*l - 7*l + 12, 6 = -5*x - 2*l. What is r(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8068752 (base 10) to base 13\nAnswer: 1896813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1046 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 125 - 82 - (-15 + 51)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15780000 rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + o**2 - 1. Let h(r) = -10*r**3 - 5*r**2 + 5*r + 3. Give -h(b) - 3*q(b).\nAnswer: 7*b**3 + 2*b**2 - 5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, z: 3}. Give prob of sequence zwzz.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xzzqqtqzqtqtqtzzzq. Give prob of sequence zt.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -63025 < -63022?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 171*4\/900*-5 - 7?\nAnswer: -54\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.01 - 0.01. Which is the closest to 1? (a) y (b) -4\/9 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62, 9, 1, 45, -2 in descending order.\nAnswer: 62, 45, 9, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425) + (0 + (sqrt(425) + -1 + sqrt(425) - sqrt(425)) - sqrt(425)) + sqrt(425) + sqrt(425) + -1 + -1)*-1)**2.\nAnswer: -90*sqrt(17) + 3834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20\/(-5) + 4)\/1. Suppose -2*q + 3 + 433 = t. Let r = q + 253. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 1, 10905 in decreasing order.\nAnswer: 10905, 1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.04, -107130 in ascending order.\nAnswer: -107130, 0, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -4*c**5 - 3500*c**4 + 93132*c**3 - 514612*c**2 + 684760*c = 0.\nAnswer: -901, 0, 2, 5, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/65)*(z\/(z**13\/z))\/z)\/(z**(-3)*z**6*z) assuming z is positive.\nAnswer: z**(-1042\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 11:00 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 10:12 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 2:19 PM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 10:58 PM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1783877 to the power of 1\/3, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 - -32. Suppose -5*w - 7 = 4*u + 3, -u = g*w + 4. Suppose u = 3*o + 4*o - 112. Solve 4*x + 0*x = -o for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26145055 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 16*k**2 - 26*k - 36. Let t be h(-17). Let i = t - 114. Let r(a) = -a**2 + 2*a - 3. Give r(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -587 + 600. Solve -7*z = 15 + k for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xttswtttttwtttxwxfx. What is prob of sequence xtfx?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*x + 84 + 177. Suppose 0 = x*j - 120 - 170. What is the greatest common factor of j and 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21.4 + 24.4. Sort u, 4, -2\/9.\nAnswer: -2\/9, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18258d (base 14) to base 4\nAnswer: -3033330201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-108))\/((-414)\/1656)?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sptt when four letters picked without replacement from {p: 1, x: 1, s: 1, e: 2, t: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20473 + -64?\nAnswer: -20557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 2*v + 16 - 5, 0 = n - 2*v + 5. Suppose 5*s + 5*x = -725, n*s - x + 112 = -315. What is the hundreds digit of 4\/(-26) - 14894\/s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 543*h - 409*h - 743*h + 24360 for h.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21031 >= 21030?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 247 = z + 2*a - 200, 4*z - 3*a = 1821. Which is smaller: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 12*u.\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -10. Let p(d) = d**2 - 8*d - 3. What is the remainder when p(9) is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -g - 19 - 180, 71 = a + 4*g. Suppose -4*u + a - 17 = -5*j, 4*j - 16 = -4*u. Let r = u - 34. Round r to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 20776, 41427, 62078, 82729, 103380?\n\"Answer: 20651*s + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 60486500, 120973000, 181459500, 241946000?\n\"Answer: 60486500*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57410.44cm to kilometers.\nAnswer: 0.5741044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 - 4*z**2 + z**2)*(-2 - 2*z + 2) + z**3 + 3*z**3 - 3*z**3 + (-z - 9*z - 5*z)*(-2*z + 2*z - z**2).\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 229*o - 31*o**2 + 229*o.\nAnswer: -31*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 107444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8181 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o - 5. Let k(p) = 1. Let x(a) = -6. Let s(m) = -11*k(m) - 2*x(m). Suppose -i = -5*v - 10, -5*i + 2 = 28*v - 29*v. Give v*t(w) - 10*s(w).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, g: 1, t: 2, c: 1, e: 1, m: 2}. What is prob of picking 1 g and 1 t?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 19 + 6 - 30.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -280315, -280304, -280293, -280282, -280271, -280260?\n\"Answer: 11*p - 280326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16.1 + -11.1. What is the second smallest value in -4, -9, k, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 0, 0 = -5*d + 2*k + 10 + 115. Suppose d*i - 359082 = 7*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 112987, 112981, 112975, 112969, 112963?\n\"Answer: -6*l + 112993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*(2*l - 2*l - l)*(7 + l - 3*l + 4*l).\nAnswer: -4*l**2 - 14*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -156 (base 10) to base 3\nAnswer: -12210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 12) to base 11\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28519 and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 2. Let u be 2 - 2 - (b + -5). Suppose -4*k = -9*k + 140. What is the greatest common divisor of k and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6368, 6394, 6420, 6446, 6472, 6498?\nAnswer: 6524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5970, 5850, 5512, 4848, 3750?\n\"Answer: -18*o**3 - o**2 + 9*o + 5980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -251.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 48*a - 1105. Give n(22).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirty-one halves of a kilogram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((-6)\/5 + 1). Let p(c) = c**2 + 4*c - 2. Let x be p(o). Let u(q) = 4*q - 4 + 5*q + 2*q**2 - q**3 - 5*q. Determine u(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.245968us in nanoseconds?\nAnswer: 6245.968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-1\/3))**11\/((h*h**1\/h)\/(((((h*h**(-2))\/h)\/h)\/h*h)\/h)) assuming h is positive.\nAnswer: h**(29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142754.\nAnswer: 2, 137, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25536*y - 2369 = 25585*y + 375 for y.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48234.\nAnswer: 2, 3, 8039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 263 divide 12716905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 47? (a) 0.3 (b) -2 (c) -7 (d) 4 (e) 217\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3 - 4*b**3 - 3*b + 4*b + 3*b**3. Suppose 11 = -4*s + 2*a - 5*a, 0 = 4*s + 5*a + 5. Let t(w) = -w**3 + 2*w - 5. Let z = -2 + 5. Give s*q(p) + z*t(p).\nAnswer: 2*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 15*k + 59. Suppose -j + 2 = -0. What is the second biggest value in j, k, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1 + (sqrt(30)\/(2*sqrt(10)))**2 + (5 + sqrt(147)*-1 - (1*sqrt(147)*2)**2))*4.\nAnswer: -2329 - 28*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 16) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, m: 5, p: 2}. What is prob of picking 2 x and 1 m?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 10) + 6 + 5 - 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 + 73 = 5*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.316462878 rounded to 3 dps?\nAnswer: -1.316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -25, -28, -21, 2, 47?\n\"Answer: a**3 - a**2 - 7*a - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.21 in -3\/2, 8, -13, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-4) - -3 - 35\/(-14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 128 - 121. Let m = -3 + i. Suppose -z - w = -3 - 0, 5*z - 16 = -m*w. Solve -z = -0*g + g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.02 - -0.09. Let f = -2.93 - h. Let p = f - 2. Which is the third biggest value? (a) 2 (b) p (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 40 = -5*z + 3*v, 0 = 4*z - v - 32. Suppose -2*t + 2*o = -22, 36 = 2*t + t - 4*o. What is the lowest common multiple of t and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.3, 318, 1\/2, -142?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2)*(29 - (7 + 20))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7 is divided by 6\/4*-4*(-1 + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1050*v**2 + 0*v - 1048*v**2 - 4 - 18*v**3 + 0*v - 29*v**3 to p*v + w*v**2 + u*v**3 + i and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17923 is divided by 148?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in -0.4, 1, -2\/25, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -157.28969218 - -157.29. Round b to 6 dps.\nAnswer: 0.000308","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -201 - -205. Suppose 0 = -m*h - 4*b + 2608, 0*h = -2*h + b + 1289. Is 66 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -4*a**2 - 3*a + 3. Let t(b) = b**2 - b + 1. Let v(k) = 2*k**2. Let q(l) = -t(l) + v(l). Let r(g) = -j(g) - 3*q(g). Let m(f) = -18*f. Give m(r(c)).\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-2*(sqrt(2) + sqrt(16)\/sqrt(8))**2*5.\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = n - 3, -2 = -3*x - n + 9 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -7. Let a = -4 - -7. Suppose c = -k*d + 3, c - 6 + a = 0. Is -2 != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (20\/15)\/(8\/6) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 20 and 574.1275?\nAnswer: 554.1275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/12)\/c**(-2\/13)*(c**(-3\/13)*c)\/(c\/c**(-9)*c) assuming c is positive.\nAnswer: c**(-1559\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**3 - 9*z**2 + 5*z - 8. Let u be q(6). Suppose 116*g = 113*g - 4041. Let p = u - g. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-99)\/(-36) - 1\/(-4) - -100.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + c**2. Let g be b(1). Suppose g = 5*r - 4*y - 7, -4*y = 5*r - 14 - 9. Suppose -2*u - r*u - 5 = 0. Let f(i) = -4*i + 1. Calculate f(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) 5 (c) 6\/7 (d) -2 (e) -5555\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*n + 1225 - 1544 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of 4433*l**5\/60 + 103*l**4\/6 + l**3\/3 - 2*l**2 - 37. Find the second derivative of u(w) wrt w.\nAnswer: 8866","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*y - 907986648 + 907986648.\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16815604 is divided by 16815602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -4. Which is the nearest to 1? (a) 0.3 (b) 3\/7 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 + 708 = 19*z. What is the greatest common divisor of 84 and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n**2 + 1 - 1)*(-2*n**2 - 25*n**2 - 14*n**2) as w*n**2 + x*n**3 + s + r*n + p*n**4 and give p.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 806459?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1861567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-834)\/1112*(-20)\/((-12)\/(4*-1))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h + 20 = -7*h + 4*k, -4*h - 38*k = -168 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {q: 4, k: 4, m: 4, l: 2}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 855, 1725, 2581, 3423?\n\"Answer: -7*l**2 + 891*l - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/1308 and -59\/6213.\nAnswer: 24852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 690008549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*s = -92*s - 160069. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4501 + -4497. Which is the closest to 2\/15? (a) -2\/87 (b) v (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*z - 416 = -16*z. Sort -6, z, -5, 0 in ascending order.\nAnswer: z, -6, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -522, -3, -4, -2, 63 in descending order.\nAnswer: 63, -2, -3, -4, -5, -522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8346 is divided by 571.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*(-32)\/(-240))\/((-24)\/(-1728))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1*2)\/2)\/((-11)\/8789). Let u = 268 + g. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 29 = -14*l + 19*l, m = 5*l + 8. Let n(q) = 5*q - 3. Let p(u) = 3*u - 1. Calculate m*p(i) + 4*n(i).\nAnswer: -i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 171 - 156. Calculate the remainder when 29 is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((-7)\/2 - -3). Factor 1 + 2*d - 3*d - 7*d**3 + 8*d**3 - d**w.\nAnswer: (d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136177121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (-10 - (-20 - -8)) + (-4 - 2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(231\/(-51)) - 3476\/9559\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -120?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2357*b - 2345*b. Suppose -4*g + 15 = -5. Let p(u) = b*u + 18*u - u - g*u. Calculate p(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18913346.\nAnswer: 2, 641, 14753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.07851 from 0.1.\nAnswer: 0.17851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -896.\nAnswer: -1\/896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 2:45 PM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -36497.\nAnswer: 4\/36497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.06818541 * -1.\nAnswer: -8.06818541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 360, -16, 2\/11, 2\/5, 13\/2 in decreasing order.\nAnswer: 360, 13\/2, 2\/5, 2\/11, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005053246926 to 7 decimal places.\nAnswer: -0.0050532","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 224758 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1631083\/12 + -135688. Let t = -79273\/336 + w. Find the common denominator of t and 39\/4.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*y - y. Solve -3*a = 2*a + y for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - j = 32, -37 = -3*m + 2*j - 0. Let q be (-2)\/7 + 74\/14. Suppose p - 4 - m = -4*b, -5*b + q = 0. Calculate the remainder when 26 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**4 - 12*n**3 + 528*n**2 - 2624*n + 3840.\nAnswer: -4*(n - 4)**3*(n + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -2\/7 (c) 2\/7 (d) 7 (e) 357 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.8 + -3. Let r = 338\/7 + -48. Which is the nearest to u? (a) -2 (b) 0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -f + 24. Let d = -9 - f. Suppose -3*m - 30 - 24 = -d*x, 5*x = -4*m + 45. Calculate the remainder when 22 is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*b - 25*b + 1 - 3 - 2*b**3 + b**3 - 2*b**2 + b**4 to q*b**4 + o + r*b + l*b**3 + h*b**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 0 - 1 + k**2 - 4 + 4. Let j be q(-1). Solve -5*y + 5 + 5 = j for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25687973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 121536422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -121 + 79 - (29 + -30 - (4 + 1 + -2))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*l + 11 - 5*l + 8*l)*(-3 + 2 + 3)*(-2 - 2 + 6)*(2*l - l + l).\nAnswer: -32*l**2 + 88*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4 + 29*f**3 + 717*f**2\/4 - 899*f\/2 + 961\/4.\nAnswer: (f - 1)**2*(2*f + 31)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 155 or 153?\nAnswer: 155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 87148682 to the nearest integer?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 6:17 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 5*o - 2*o - 1512, 0 = 4*o + 16. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-2)\/3)\/1)\/((-24)\/72). Suppose 4*q + 4*q = k*q. Which is the third smallest value? (a) 0.4 (b) q (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**9\/z)\/z**(-4)*(z\/((z\/z**(2\/15))\/z*z))\/z**4 assuming z is positive.\nAnswer: z**(122\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 29093 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0290592mm to meters.\nAnswer: 0.0000290592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*h - 8*h - h**4 - 2*h**2 - 45 + 46 to the form d*h**4 + w*h**2 + n*h**3 + s + v*h and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/492 and -67\/4.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0324 - -0.29912606.\nAnswer: 0.26672606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 8 = 4*a, 9 = a - 5*q + 33. Is -38*1*2\/a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/27 and 73\/255?\nAnswer: 2295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 380 - (181 - -300) - (0 - 38)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*t + 80*t - 1260 = 0. Does 15 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -13, -1, -2\/93?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6437, -3, -21.\nAnswer: -6437, -21, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**4 - 14*c**3 + c**2 + 20*c. Let l(v) = 15*v**4 - 225*v**3 + 15*v**2 + 321*v. Let s(o) = -33*i(o) + 2*l(o). Factor s(d).\nAnswer: -3*d*(d - 3)*(d - 2)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 - 8. Let t = -16 + o. Calculate the highest common divisor of t and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 1138 + 270 = 0. Is s a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 400398 and 454?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 154\/27 - -80\/27. Let p be (-10)\/(-9)*348\/145. Find v such that -y*v**2 - 2\/3*v**4 - p - 8*v - 4*v**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-20)*s**13*s**(-4\/23)*s**5*s**(-3) assuming s is positive.\nAnswer: s**(-119\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.04274 (b) -0.4 (c) -0.3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) 0.19 (c) 0.061\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 4104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-two fifths of a centimeter?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3702 divided by -1851.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7884.8905 + -1.\nAnswer: 7883.8905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27? (a) 3.92 (b) 5 (c) 0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 107567 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1200810.5 to the nearest one thousand.\nAnswer: 1201000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -5.224, -0.4?\nAnswer: -5.224","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 4:18 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244552917.\nAnswer: 3, 7, 263, 44279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 90, 175, 262, 351, 442, 535, 630?\n\"Answer: b**2 + 82*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/14, 5\/4, -4, 3, -376, -2\/19 in descending order.\nAnswer: 3, 5\/4, -2\/19, -3\/14, -4, -376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirteen eighths of a tonne?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 28\/7 + (-33 - -46)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 l, and 1 o when three letters picked without replacement from {d: 5, e: 2, l: 3, h: 3, o: 1, w: 1}.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rewr. Give prob of picking 1 w and 1 r.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - n = -6, -2*n + 0*n - 12 = -4*u. What is the greatest common divisor of 13 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/(-12) + 2\/(-8). Suppose h + 9 + 11 = 0. Let r be h\/(-6) - (-4)\/18*3. Put r, v, 3\/4 in decreasing order.\nAnswer: r, 3\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2375, 2360, 2327, 2270, 2183, 2060?\nAnswer: 1895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6000 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 45*-6\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.813 - -4.313. Which is the second smallest value? (a) v (b) 0.06 (c) -2\/15 (d) 0.4 (e) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -l**3\/3 - 3*l**2\/2 + 2*l + 4. Let z be t(-3). Let a(o) = -3*o + 0*o + 4531 - 4529 + 4*o**2. Calculate a(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -865265 less than 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 980.1066m to micrometers.\nAnswer: 980106600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -10 - -10 - -8) + -5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - ((7 - 0) + -13)) + 12 - 22\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 609.\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 2:09 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 875037 (base 12) to base 16.\nAnswer: 20b8eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 128\/(2\/(-56)*-7). Suppose -f = -29*z + 13*z. Calculate the highest common factor of 52 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x - 10*x**3 + 9*x - 5*x - 5*x)*(-20 - 24 + 9) in the form a + v*x**2 + i*x**3 + t*x and give i.\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6313384.\nAnswer: 2, 7, 11, 37, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 61.06 + -59. Round a to 1 decimal place.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - -1. Let f be (-3)\/(-9) - 74\/9. Let i = f + b. Calculate the common denominator of -1\/7 and i.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18*((-13)\/78 + 4\/6). Suppose 0 = c - 4*m + 17 - y, -m = 4*c - 19. Solve -t = -5*n + 3*t + 13, c*n = -2*t for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45180610?\nAnswer: 2, 5, 4518061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*s + 7*s - 5 + 3 in the form t + u*s and give u.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence flg when three letters picked without replacement from {h: 2, i: 1, g: 1, l: 8, f: 3, w: 2}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - 1\/(2\/4). Let u be 2539\/i + (-6)\/(-12). Suppose 2*q - u = -0*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 620342?\nAnswer: 2, 37, 83, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6752 and 1966520.\nAnswer: 1688","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 15*l**2 - 24*l - 3. Suppose 1 - 17 = 4*z. Let y be 3 + 129\/12 + 3\/z. What is the tens digit of c(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 8977, -4.\nAnswer: -4, 0, 8977","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 147077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -15*u**3 - 5*u**2 + 5*u - 9. Let o(v) = 15*v**3 + 6*v**2 - 6*v + 8. Let s(y) = 3*d(y) + 2*o(y). Is s(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/11 + 1512*h**2\/11 - 3666*h + 264316\/11.\nAnswer: 2*(h - 13)**2*(h + 782)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15008\/(-268)*(-2)\/(-8).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -19\/1483?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 5*v - 132 + 45 = -0*v, -10*n - 2*v - 5 - 169 = 0 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*f + 1, 2*r + 4*f = 226. Suppose -269 = -65*x + r. What is the greatest common divisor of 120 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1068, 1053, 1022, 969, 888?\nAnswer: 773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**3 + 64*c**2 + 302*c - 13804 = 0.\nAnswer: -14, 17, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*s - 13 = 6, -5*s = -3*f + 31. Let t = 2 - 4. Let u = t + 6. Calculate the remainder when u is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 804.887 rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50960597?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1563874, 1563880, 1563890, 1563904?\n\"Answer: 2*q**2 + 1563872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(4000)*-3*-1)\/(-6*sqrt(72)\/(sqrt(45)\/sqrt(5))))**2.\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 555.2001 centimeters in meters?\nAnswer: 5.552001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*x**2 + 5*x**2 - 2*x**2)*(-2 + 3 - 2) - 5*x**2 - 34 + 34 as q*x + k + d*x**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2\/4 + 315*t\/4 + 999\/2.\nAnswer: -3*(t - 111)*(t + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 20. Let m be 23\/g + (-2)\/7. Suppose -m*k + 9 = -0*k. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 23*c - 410. What is w(17)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 10371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 160 by 1014.\nAnswer: 80\/507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kyykkkkkykdykkykk. Give prob of sequence dkyy.\nAnswer: 11\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -7*g - 4*z + 132, 3*z = -4*g + 105. Suppose 0 = -3*h - 41 - 22. Let y = -8 - h. What is the remainder when g is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/((3 - 2) + -2). Suppose -4*v + 4*x = n, 7*x + 12 = 4*x. Let w(g) = g**2 + 2*g - 2. What is w(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 16 = t + 2*s, -5*s + 105 = 5*t. What is the remainder when 99 is divided by t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 15*m - 21. Let z(h) = -h + 1. Let k(y) = -a(y) - 2*z(y). Give k(13).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 971 is divided by 327?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**6\/d)*(d*d\/(d**(-1\/4)*d)*d*d)\/d)\/(d*d**4*d*d\/d**(2\/9)) assuming d is positive.\nAnswer: d**(-343\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 28*r. Let x(y) = -74867*y. Let p(u) = 2658*n(u) + x(u). Let b(w) = 2*w. What is p(b(i))?\nAnswer: -886*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 4*v**2 + 2*v + 6. Let s be n(-4). Let m = -6 + 6.6. Let k = 0.7 - m. Which is the closest to 1\/2? (a) s (b) -1\/7 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 + -25.8. Let w = -1.2000162 + j. Round w to 6 decimal places.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**3\/7 + 1207*o**2\/7 - 102896*o\/7 - 239196 = 0.\nAnswer: -1286, -14, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, x: 3, z: 4, y: 2, e: 3, b: 1}. What is prob of picking 1 z and 1 v?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -464 - -2300. Calculate the remainder when h is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -0.096204\nAnswer: -0.048102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9720628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1026 to the nearest 10.\nAnswer: -1030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 7 + -7 - (-9)\/8. Let x = -2 - -3. Suppose -x = -y + 3. Sort -1, y, d.\nAnswer: -1, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 486221059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13937880, -27875758, -41813638, -55751520?\nAnswer: -69689404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -17. What is the remainder when 45 is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 255*b**2 - 540 + 619 + 5*b - 81.\nAnswer: 255*b**2 + 5*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of n**6\/45 + n**5\/6 + n**4\/3 - 4*n**3\/9 - 8*n**2\/3 - 2*n + 6. Let s(q) be the first derivative of v(q). Factor s(d).\nAnswer: 2*(d - 1)*(d + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6066 - 6044. What is the highest common factor of t and 5654?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 760 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 57\/146?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -2*u**4\/3 + 670*u**3\/3 + 30764*u**2\/3 + 26048*u\/3 - 60160 = 0.\nAnswer: -40, -3, 2, 376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*p - 192*p + 124*p = -250 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103284, 206823, 310618, 414669, 518976?\nAnswer: 623539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -187\/4 - -47. Which is greater: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**7\/(w**(-1\/3)\/w))\/(w**(-2\/7))**(9\/5) assuming w is positive.\nAnswer: w**(929\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-6)\/(-4))\/(-3))\/(261\/116). What is the second smallest value in -0.1, 3, 2\/3, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 190 + -2468\/13. Sort -1\/6, x, 1.1 in increasing order.\nAnswer: -1\/6, x, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/3 + 6358646*a\/3.\nAnswer: -a*(a - 6358646)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**3 + 3*t**2 - 3. Let z be g(-3). Let x be (-6)\/21 + z\/(-7). Suppose -17 + 2 = 5*a. Put 1, x, a in descending order.\nAnswer: x, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/66440 and 127\/996600?\nAnswer: 996600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 110011101010 (base 2) in base 12?\nAnswer: 1ab6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 6*c + 33. Let g be l(-5). Suppose 0 = -g*n + 404 + 313. Suppose -23 - n = -2*r. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 < 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.369 - 2065.631. Let p = s - -2056.99. What is p rounded to 0 decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16.5 + -16. Let t = 17 - 25. Let u be 2\/(-4)*t\/(-6). Which is the nearest to -1? (a) u (b) 0.1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - v + 5, -4*x = -4*v + v - 25. Let k(p) = p**3 - 5*p**2 + 2*p + 2. What is k(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 421 + -297. Calculate the greatest common divisor of 93 and k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 346820?\nAnswer: 1040460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**30*d*d**(-29)*d*d**(2\/15)*d*d**(-2\/39) assuming d is positive.\nAnswer: d**(796\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22155 + -642499\/29. What is the fourth smallest value in 2, 3, y, -12?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -2*w - 15. Let n(u) = 3*u**2 + 2*u - 2. Let t(o) = -7*o**2 - 5*o + 5. Let k(d) = w*n(d) + 2*t(d). Let y(l) = 3*l. Calculate y(k(r)).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 918928693?\nAnswer: 17, 127, 157, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/4 (b) -6\/7 (c) -0.06 (d) -0.03 (e) -1\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (170*y**4 + 360*y**4 - 55*y**4)*(3 - 3 - 2)*(1 - y - 1)*(1 - 3 + 0).\nAnswer: -1900*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7\/30 - -1\/10. Let z be 2 + 16\/6 + -4. Factor z*x + 1\/3 + o*x**2.\nAnswer: (x + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(448) + 4 + 1*sqrt(448) + sqrt(448) + -1 + 0)**2.\nAnswer: 48*sqrt(7) + 4033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 4:30 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1925.407 - 1927. What is y rounded to two decimal places?\nAnswer: -1.59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkw when four letters picked without replacement from {w: 2, k: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -994355650 rounded to the nearest 100000?\nAnswer: -994400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**2 + 43*x - 14. What is n(21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -19995 equal to 2674?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**2\/19 + 923271292*x\/19 + 106553734828918658\/19 = 0. What is x?\nAnswer: -230817823","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 12*x**2 - 32*x + 41. Suppose -12*o + 4*o = -128. What is the units digit of j(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20486493?\nAnswer: 3, 37, 20507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -65, -162, -271, -398, -549, -730?\n\"Answer: -z**3 - 90*z + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10349 is divided by 3429?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 divided by -3?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1780503?\nAnswer: 3, 593501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -116*(32\/(-160))\/(32\/40).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o - 8. Let c(f) = -6*f + 15. Let u(q) = -3*c(q) - 5*x(q). Suppose 4 = -4*b + 20. Let h(l) = 2*l - 4. Give b*u(d) - 5*h(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 24 + (5 - -1) + (-19 - (-10 - 7)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -16 - 3\/8*g**4 + 4\/3*g**3 + 0*g - g**2. Factor m(n).\nAnswer: -n*(n - 2)*(3*n - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 5*t = -p - 20, -t = 4*p - 38. Let f(n) be the second derivative of -n**3\/6 + n**2 - 5*n. Calculate the least common multiple of f(-4) and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -367 + 362. Is 21\/(l - 2) - (-1196 + -5) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 11*t**2 + 2*t - 2. Let g be k(2). Find the third derivative of 44*z**5 + 106*z**6 + 2 + 51*z**5 - 97*z**5 - g*z**2 wrt z.\nAnswer: 12720*z**3 - 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48.23955 weeks to minutes.\nAnswer: 486254.664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*z - 84*z + 247246 + 107984 = 0. What is the hundreds digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(17) + sqrt(68) + 1))**2.\nAnswer: 150*sqrt(17) + 3850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 45 - 5*v**2 + 53 - 58*v - 70. Determine m(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**4 - 3*i**4 - i**4 + (10*i**2 - 2*i + 2*i)*(0*i**2 - i**2 + 2*i**2).\nAnswer: 7*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-5 + 6 + 0 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01384 rounded to three dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -72 + 64. Let h = -13 - v. Which is the fourth biggest value? (a) -2 (b) h (c) -0.2 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2\/19, 0.128, 4.4, -2.\nAnswer: -2, -0.2, -2\/19, 0.128, 4.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 26576 divided by 11?\nAnswer: 2416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -275116, -550234, -825352, -1100470, -1375588, -1650706?\nAnswer: -1925824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 32 and 0.85.\nAnswer: 27.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 81 - 79. Solve -j + 18 = 4*w, -2*w + 15 = -o*j + 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1114 * 8.\nAnswer: -8912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.53024l to millilitres.\nAnswer: 3530.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c - 161. Let s(m) = m + 53. Let d(q) = -4*b(q) - 11*s(q). Determine d(20).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, u: 1, m: 2, f: 3, v: 3, n: 1}. What is prob of picking 1 n and 1 m?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - a + 6. Let k be i(7). Let z(y) = y + 1. Let s be z(-1). Suppose -3*w - 5*h + k = -s*h, -8 = -w + h. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -24*t**2 - 2 + t**2 - 2 wrt t?\nAnswer: -46*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/28 - (-8)\/(-56))\/(9\/(-21)). Let z = 0.1 - 3.1. Which is the closest to j? (a) -0.2 (b) z (c) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 91*c**2 + 4*c - 26. Let q be h(10). Let n = q - 6193. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**2 - 71*l**2 - 61*l**2 - 60*l**2 + 40*l**2.\nAnswer: -152*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 11:10 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 969811265\/852 - 1138276. Find the common denominator of n and 43\/36.\nAnswer: 2556","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3284?\nAnswer: 2, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(3\/19))\/k**(-2\/25)*((k*k*k**(-2\/43)*k)\/k)**(-24) assuming k is positive.\nAnswer: k**(-938766\/20425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -7. Let i be (14\/4 - -3)*k. Let h = 25 + i. Solve -z - 5 = -2*t, 0 = -4*t - z + 7 + h for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gca when three letters picked without replacement from jacaaaooogjaajbjbb?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -28.2, 1, 2\/9, -4?\nAnswer: -28.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 508 + -500. Let f(n) = 75*n + 33. Is f(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-378))\/((12\/3)\/(-36)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 4 (c) -2 (d) -0.5 (e) -2\/11 (f) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 140 + 52 = 0. Calculate the greatest common factor of i and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 122866, 122878, 122912, 122980, 123094?\n\"Answer: 2*h**3 - h**2 + h + 122864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of -16 + 6 - -75 - 4\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29 - 1230\/(-41))\/(36\/38 + -1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -723 at most 0.23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4*i. Let o(y) = 127935*y**2. Calculate o(a(p)).\nAnswer: 2046960*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(33)\/(sqrt(3) + 4*sqrt(3)))**2.\nAnswer: 44\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3739963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -4*v - 12, -2*v + w + 3 = -3*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 94279.08194 and -45?\nAnswer: 94324.08194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + -2 - 8 - -3. Let p = y - -10. Find the common denominator of p\/(-4) + -1*3 and 89\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231 is divided by 62?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7 + (0 - 1) + (-6)\/(-3). Solve -4 = 2*a - b for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7542 is divided by 3747.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.026 + 0.05. Let r = 0.0727 - z. What is r rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1073754?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d + 4. Let i be p(6). Let q be (-90)\/(-20) - (-3)\/i. Let c be 5 + 1*(2 - q). Solve 3 = 2*k - 4*u + 15, -4*u = 2*k + c for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110001010011001 - -10?\nAnswer: -10110001010010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 2138 and 2151 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38864507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 + 0. Let b = -52.7 - -53. What is the nearest to 2\/3 in 1, s, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3727 - 51065.\nAnswer: -51064.6273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -132 - -134. Suppose 17*r = u*r - 6975. What is the common denominator of 119\/20 and 0 + 3 + r\/174?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 8*l - l**2 - 6*l**2 + 1 - l**3 - 11 - 2. Let o be q(-8). Let a(s) = -s + 8. Calculate the lowest common multiple of 22 and a(o).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 11 = -3*b + 2*o, 3*o + 7 = -4*b. Suppose -b*s = -3*j - 954, -8*j + 4*j - 1433 = -3*s. Does 21 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 24 = 4*z. Let u = -1 - z. Is 5 greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 278306666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*w**4 - 1785*w**3 + 7890*w**2 - 10460*w + 3480 = 0. Calculate w.\nAnswer: 1\/2, 2, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6285483?\nAnswer: 3, 698387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-9))\/(6*70\/(-189)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -8) + 3 - (25 + -30)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 17951641, 17951591, 17951541?\n\"Answer: -50*g + 17951691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.03 - -4.03. Let d = -47 - -41. Let z = y + d. Which is bigger: -3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 5:13 AM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17 and 4.784013.\nAnswer: 81.328221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-18) - (-86)\/18. Suppose 2*l - 4*a - 54 = 0, 4*a - 29 = -l + 8*a. What is the highest common divisor of h and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2219547593 to three dps.\nAnswer: 0.222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 410*b - 147 = 431*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -1\/5, -2, 4\/5, -0.06, -21?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of 5*k**4\/2 - k**3 - k**2\/2 - 3*k + 923. Let u(p) = -p**3 + p**2 + p + 1. What is d(x) + 3*u(x)?\nAnswer: 7*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g - g + g)*(-3*g**2 + 10*g - 10*g) - g**3 + 0*g**3 + 4*g**3 - g**3 + 4*g**2 - 4*g**2 to the form n + l*g + a*g**3 + m*g**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -4*r**8\/21 + r**4 - 3*r**2 + 4*r. What is the second derivative of o(f) wrt f?\nAnswer: -1280*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s**2 - 5*s - 2. Let o be i(-3). Let b = o - -12. Let z be 1 - (-2)\/((-88)\/b). What is the fourth biggest value in z, 5, -10, -1\/2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50610529 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-3 + 90))*((-1386)\/168)\/33\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of r**7\/840 - r**5\/80 - r**4\/48 - r**2 - 10*r + 30. Let p(j) be the second derivative of a(j). Factor p(n).\nAnswer: n*(n - 2)*(n + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15396 by -6.\nAnswer: -2566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -487*a**2 + 319*a**2 + 174*a**2.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 60, 74, 90, 108, 128, 150?\n\"Answer: m**2 + 11*m + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -13. Let r be -1 + (0 - -1) + 9. Suppose 2*z + 2*u + 2*u - 26 = 0, d = -z - 3*u + r. Is 15 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.028 and 0.026.\nAnswer: 1.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/(-15))\/((-2)\/25). Suppose n = -2*q - 0. Let o(f) = f**2 + 8*f + 5. Calculate o(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 5:14 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7\/183 + -13\/183. Does y = 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by -119\nAnswer: 26\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5.16752 days?\nAnswer: 124.02048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39158, 156638, 352438, 626558?\nAnswer: 978998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*f + 32*f = -8. Let o be 1 + (5\/(-3) - -1). What is the smallest value in f, o, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, 0.3, 0.69, 0.22 in ascending order.\nAnswer: -4\/5, 0.22, 0.3, 0.69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 15*k - 6. Let z(l) = 7*l - 2. Let h(d) = 4*s(d) - 9*z(d). Let m(x) = 5*x + 11. What is -11*h(a) - 6*m(a)?\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from buyuufbuw. What is prob of sequence wb?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24.98 + 24. What is u rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + k - 0*k, 0 = 4*u - k. Suppose -5*o + 21*r - 25*r + 80 = u, -r + 65 = 5*o. Solve -3*s = -z - 0*z - o, 4*z - 17 = -s for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31\/96010 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mkkmkkmkkk. Give prob of sequence kmmm.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 34\/(-68) - 758\/(-1532). Let j = 11933\/11490 + y. Calculate the common denominator of j and 3\/(-12) + 172\/432.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.913 + 0.087. Which is the nearest to k? (a) -0.11 (b) 3 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 1\/5, 2\/507, -4\/3, -18?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -17282244 and -253.58?\nAnswer: 17281990.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - -13. Suppose -5*c + l + 18 = 0, 2*c - l - 2*l = 2. Let f = c + d. Solve 2*k + 22 = -5*y, -f*y - 3*k - 6 = -5*k for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -71\/9 - -5. Calculate the common denominator of j and 56\/33.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**3 + 3*x**2 - 3*x + 2. Let f be b(2). Let k = 17 + f. What are the prime factors of (k - -3)\/4 + 40?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8398*r + 8416*r - 2 + 3)*(2*r**2 + 0*r**2 - 3*r**2)*(-19*r - 2*r - r).\nAnswer: 396*r**4 + 22*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009 rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/4 (b) -0.03 (c) 15 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + (-23 - 39 - -13 - -6) - (2 + -2)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**2 - 12*g - 10. Determine z(-7).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309 is divided by 115?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 + -68 + 4 - (-1 + -18).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 9}. Give prob of sequence vv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3882 + 3697. Which is the biggest value? (a) -5 (b) 10 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -10. Suppose -3*o - 133 = -3*q - 2*o, -j*q = 4*o - 98. Let k = q - -178. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/236 and 28\/177?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k**2 - 21*k**2 + 18*k**2 - 3*k**2 + 2*k**2 - 10*k**2.\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2.58, 35, 1, -7\/4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -2, -40 in descending order.\nAnswer: 4, -2, -5, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2804245, -2804235, -2804225, -2804215, -2804205, -2804195?\n\"Answer: 10*v - 2804255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 - 3301?\nAnswer: -3330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*p**3 - 7*p**2 + 7*p**2 + 3*p**3 + 8*p**2 - 8*p**2 + (0 + 0 + 2*p**2)*(0 + 0 + p).\nAnswer: 16*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 6 + 0 = 0, d - 5*j - 20 = 0. Suppose -4*u + 615 = d*l, -4*l + 151 = 5*u - 611. List the prime factors of u.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three fifths of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + (sqrt(162) - (sqrt(162) + 1 + sqrt(162) + sqrt(162))**2))*-4 + sqrt(162) - (sqrt(162) + ((-2 + sqrt(162))*6)**2).\nAnswer: -140 + 1440*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 225 divided by 2?\nAnswer: 225\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -75378 and 4078.\nAnswer: -307391484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1361 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 10*a**3 - 2*a**2 - 6*a. Let u(y) = -29*y**3 + 8*y**2 + 16*y. Let m(w) = -8*k(w) - 3*u(w). Let p(o) = -14*o**3 + 15*o**2. Give 11*m(q) + 6*p(q).\nAnswer: -7*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + n + 555 = 6*n, -n = 4*g - 723. Suppose i = 4*i - g. Let a = -5 + 17. What is the highest common factor of a and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183 = 9*z - 552. Suppose 12 = 3*r, -2*r + r - z = -5*q. Let b be q - (-5)\/(25\/(-10)). Solve b - 2 = -5*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15975 + 16415. Calculate the highest common factor of 1160 and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 7*s - 9. Let w be z(6). Sort -5, w, 3.\nAnswer: -5, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-7)*42\/(-63).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -28, -55, -82, -109, -136?\n\"Answer: -27*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u**3\/3 - 1760*u**2 + 67795*u\/3 = 0.\nAnswer: 0, 13, 1043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/5 - 3\/(-5). Suppose 91 + 53 = a*q. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((70\/10)\/(-105))\/((-264)\/(-99))\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1247.69 at most as big as 3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/15 or 14086231?\nAnswer: 14086231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -103\/3 + 34. What is the smallest value in -0.4, 3, n?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11112202001020 - 210222?\nAnswer: -11112202212012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 3*n - 8. What is the remainder when 17 is divided by d(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1705 and 275.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzyrazrzzzyyzzszz. What is prob of picking 1 s, 1 r, 1 a, and 1 y?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-36)\/(-8)*8\/6. Suppose 3*m = 4*d + 19 + l, -5*d - 2*m - 14 = 0. What is the second biggest value in -3, -2, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7736 or 7743?\nAnswer: 7736","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*c + 7 = 0, 7*d + 16 = 8*d - 3*c. Let v be 0\/(8 + -6) - (-2 - d). Solve 3*a = g + 2, -5*a + g = -v - 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.8538 rounded to zero decimal places?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 11*n**2 + 11*n - 17. Let i be v(-12). Sort i, -2\/5, 12, 1.\nAnswer: i, -2\/5, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 12 = -2*f. Differentiate -3*l**3 + 1 + 0*l**f + 2 - 6 with respect to l.\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*p - 13477 + 13426. Calculate the greatest common divisor of 1341 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -43802 or -43798?\nAnswer: -43798","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58230890 to the nearest integer?\nAnswer: 7631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 6:20 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 6:53 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/3)\/(12\/(-1098)) + 0. Suppose 320*m - h*m = 75. Solve -16*v + m = -15*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149*x**3 - 10 + 10 + 18101*x**2 - 18101*x**2.\nAnswer: 149*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 198692591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13256 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 1 = 5. Let v be ((-1)\/(-2))\/(2\/(-12)). Let d be v\/(-6) - (-9)\/y. Let s(k) = -2*k + 2. Determine s(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -4. Let c be 2\/(2 + (-1 - w)). List the prime factors of c + -4 - (8 + -36).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148129 divided by 10.\nAnswer: 148129\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 104 + (-1 - -1)*6\/(-12). Let h = 154 - r. Suppose -125 = -5*m + h. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 48142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*13614233.\nAnswer: 4084269.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ygwwtyw. Give prob of sequence gyt.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1072\/7 - (6 - 328\/56). What is the greatest common divisor of 17 and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*r + 0*r + 4*r)*(-12*r + 5*r**3 + 12*r) + (-2*r + r**2 + 2*r)*(-15*r**2 + 4*r**2 + 4*r**2) to w*r + x*r**2 + b*r**4 + g + n*r**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -62 - 5?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1057*x + 2243 - 59321 = 0 for x.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -5*o - 14. Let k be a(-3). Let j be 4\/(-18) - 190\/(-45). Suppose 0 = j*s - 17 + k. Solve m = s*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 485021200 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(168)\/sqrt(16))\/(sqrt(96)\/sqrt(4)).\nAnswer: sqrt(7)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2132 and 8036.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(1\/(-2)*2). Let y(a) = -a**3 + a**2. Let p(q) = 6*q**3 - 5*q**2 - 2*q - 1. Give w*p(g) - 5*y(g).\nAnswer: -g**3 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 20 = -2*i - 4*g, 5*g + 25 = 5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -5) + -4 + -3 + (8 - 12).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/4925 + 339889\/157600. Let g = -2373447\/616 + 3853. Let a = g - 4159\/616. Calculate the common denominator of a and k.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**3 - 15*a**2 + 10*a - 49. Calculate j(6).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 2*m - 5, -2*m = t - 7*m - 11. Suppose 4*h + t = -11. What is the second smallest value in 0.6, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 304 divide 1139392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.9 - -0.1. Let c = -4.4 + j. What is the biggest value in 0, c, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 70 + -65. Suppose -u - 4*u - 3 + 8 - 10*u**2 + 5*u**4 - 5*u**g + 10*u**3 = 0. Calculate u.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oninninono. What is prob of sequence oi?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*k + 587 + 534 = 1310 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/354702 and -76\/1209.\nAnswer: 4611126","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2 - 12*z + 12. Let j be s(6). Is 1894\/j - (-7)\/42 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1243, -5238, -11917, -21298, -33399?\nAnswer: -48238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 28096222?\nAnswer: 1\/14048111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*p = 129*p + 299 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 0. Let p = -3 + 1. What is the closest to p in 2, -0.2, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-6)\/(-36)*3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51597054 divided by -4.\nAnswer: -25798527\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/8380 and -43\/557270.\nAnswer: 1114540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -0.5 (c) 26 (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or -236?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76351 and 252769.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-9*(-5)\/45)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/(-35) + 1109\/5. Is r < 222?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3185 (base 11) to base 7\nAnswer: -15160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 275704555 and 27160?\nAnswer: 3395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 5*h, -5*y = 52*h - 57*h. Suppose -106*t + 111*t - 50 = y. Solve 0 = -6*s + s + t for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5*(5 + (sqrt(468) + sqrt(468) + 1 + 2)**2).\nAnswer: -9434 - 360*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2287ca (base 14) to base 2.\nAnswer: 100011111000110101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 4*f**2 - 3*f - 3. Let u = 12 - 16. What is w(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33363, 66717, 100073, 133431, 166791, 200153?\nAnswer: 233517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10567 - -10571.9896. Let h = -4.9 - 0.1. Let u = c + h. What is u rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 5*t - 14. List the prime factors of u(11).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21.751 - 2.26.\nAnswer: -24.011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.025680632 to 6 decimal places.\nAnswer: 0.025681","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (69\/161)\/(123\/205)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/5))**(39\/2)\/((c*c**(-2\/5))\/c**(-4))*((((c\/(c\/c**(-2\/9)))\/c)\/c)**(-22\/7))**(-2\/19) assuming c is positive.\nAnswer: c**(14752\/5985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 142?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001077 rounded to six dps?\nAnswer: -0.000108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/151621 and 163\/92460.\nAnswer: 209236980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -725 by -5.\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, t: 3}. What is prob of picking 4 c?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3275?\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-5))\/(q*q\/((q**(-7\/2)*q)\/q)))\/(q**(-2\/7)*q)**(1\/3) assuming q is positive.\nAnswer: q**(-409\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 16*j**4 - 104*j**3 + 132*j**2 - 62*j + 10 = 0?\nAnswer: 1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*a**3 + 8*a**2 - 19 - 7*a + 7*a - 4*a + 20 to t*a + s + j*a**3 + i*a**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 2:12 PM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p + 2*p + d = 5, -4*p = -3*d + 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6572463*q**4 - 24*q**3 + 838292142*q**2 wrt q?\nAnswer: 157739112*q - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30240 divided by -135?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 6 - 14 = 0. Let x(g) = 1 + 4 - 6*g - 1 + 2*g. Let y be x(-4). Calculate the highest common divisor of y and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -3, 8906, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 19 + 2334.03065\nAnswer: 2353.03065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 3*b + 1 - 2*b + 0*b + 0*b**3 + b**2. What is the units digit of o(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254 smaller than 256?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1227*b = 48701 - 148088 for b.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 106449 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: Calculate the remainder when 238 is divided by 116.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vi when two letters picked without replacement from ttlllvwttllvliltllwe?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1427263.\nAnswer: 367, 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/2 - (-1 - -2). Let a = -3 + 8. Suppose -2*r + 14 = 2*p - h*r, p - a*r = -23. Solve -3*y - 2 = -p*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17537098 is divided by 700.\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 3 + (48 - 35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.7558594 to 3 dps.\nAnswer: -7.756","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n**(-1\/4))*n*n\/(n**4\/n))\/((n\/n**(-4))\/n**(-1)))**(-4\/15) assuming n is positive.\nAnswer: n**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5.9645 + -18.87\nAnswer: -12.9055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12.684255 or -0.19?\nAnswer: -12.684255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1051473?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5942 by -159.\nAnswer: 5942\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 316 and 8058.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-2)*2\/(2*6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38986.\nAnswer: 2, 101, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*u**2 + 2*u**6 + 12*u**2 - u**6 wrt u.\nAnswer: 120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -149*o**4\/4 - 4*o**3\/3 + 3*o**2 - 5*o - 14. Let t be a(5). What is t rounded to the nearest one thousand?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 229 + -2506?\nAnswer: -2299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 0. Let l(o) be the third derivative of -o**5\/60 + 7*o**4\/24 + o**3\/6 + 3*o**2. Let n be l(7). Is n equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 10*h**2 + 18*h - 9. Let x(o) = 13*o - 183. Let v be x(15). Is 45 a factor of l(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 0 + 2 - 1)*(2 - 2 + 3)*(-5*j**2 - 14*j**2 + 5*j**2).\nAnswer: 168*j**3 - 42*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 241 (base 8) to base 15\nAnswer: ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32060171, -32060169, -32060165, -32060159?\nAnswer: -32060151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 5*i - 280. What is the highest common factor of 4 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -0.41, 0.\nAnswer: -0.41, -1\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -790*o**3 + 1312*o**3 - 515*o**3.\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c**(-1\/2)\/c)*c**(-2\/51)*c**(-5\/7)*c\/(c\/((c*c**(19\/2)*c)\/c)*c) assuming c is positive.\nAnswer: c**(4015\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1438271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256746?\nAnswer: 2, 3, 7, 6113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 121 - 76. Let t = 6 + f. What are the prime factors of t?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71.6 + 72. Sort f, -7\/8, -0.1 in increasing order.\nAnswer: -7\/8, -0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 23 + 25 = 0. Let s(u) = 2*u + 1. Calculate the remainder when 36 is divided by s(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.153634 rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 1. Let m(j) = -6*j**3 + 6*j + 24. Determine 5*k(z) - m(z).\nAnswer: z**3 - 6*z - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -374.98 * 1.\nAnswer: -374.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 15*k**2 + 9*k + 70. Give c(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -393, -267, 63, 699, 1743, 3297, 5463, 8343?\nAnswer: 12039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (24 - (-23 + 27)) - 75?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 12844 = 1291. What is the remainder when b is divided by 22?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -o**6\/540 + 7*o**4\/108 - 2*o**3\/9 + 36*o**2 - 148*o. Let b(m) be the first derivative of u(m). Factor b(n).\nAnswer: -2*(n - 2)*(n - 1)*(n + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fdj when three letters picked without replacement from {j: 3, y: 2, d: 1, u: 1, f: 3}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 619440.1 nanoseconds in microseconds?\nAnswer: 619.4401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -62*p**2 - 12272*p - 36278. Calculate z(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -312261 + -55?\nAnswer: -312346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-2)*(-284)\/2. Let b = -923 + 922. Is b*i\/(4 + -3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*m = 50 - 76 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4845 divided by 969.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/sqrt(2)*-5 + (sqrt(7) - (sqrt(7)*-1 + -5)) + sqrt(378)\/(2*sqrt(6)) + 2 + 0.\nAnswer: -3*sqrt(7)\/2 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 25718.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 438418855 to the power of 1\/3, to the nearest integer?\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -o - 8, 152*o = 148*o - 5*p - 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 - 39254*x**2 - 385258380*x - 770359752.\nAnswer: -(x + 2)*(x + 19626)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 6 - 1 + w - 5. Give t(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwffffwwfwbwwbbff. Give prob of sequence bff.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43 - -33. Let n(f) = f**2 + 8*f + 31. Let v be n(z). What is the first derivative of 36*d**2 + 12 - v - 27*d**2 - d wrt d?\nAnswer: 18*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 15 = -35, -3*x = -q - 11 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -65188\/175 + -537\/175. Let t = q - -379. Find k such that -t*k - 12\/7*k**2 + 3\/7*k**4 + 6\/7*k**3 + 0 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -0.393578?\nAnswer: 0.196789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*f = -9, 8*f + 20 = 3*d + 3*f. What is the third derivative of 0 + x**3 - 5 + 2*x**2 + d wrt x?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z**2 + 4*z**2 + 3*z**2 + 7*z**2.\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -3*a - 1426*p + 1431*p, -4*p - 30 = -3*a for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -711, -710, -709, -708?\nAnswer: -707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 22319, 92045, 208255, 370949, 580127, 835789, 1137935?\n\"Answer: 23242*d**2 - 923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 5)*(7*w**2 - 3 + 3)*(-4*w + 2*w + w).\nAnswer: -28*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -12\/13 (b) -0.4 (c) -3 (d) -2\/19 (e) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 4*d. Let p be b(-2). Suppose -v = -o - 0*o + 58, -4*o + 2*v + 238 = p. Calculate the remainder when o is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -1. Let c be (2 - 0 - p)\/(-2). Find the first derivative of -3*k**2 + 0*k - 3 + c*k wrt k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -102*j + 6. Let x(f) = -f**2. Calculate z(x(o)).\nAnswer: 102*o**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -574 - -573.5. Which is the third biggest value? (a) -8\/7 (b) 4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-208)*-4*(-28)\/(-21)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*1*sqrt(350) - sqrt(350))\/(-4*sqrt(30)\/sqrt(3)))\/(-1*sqrt(343)*1 + (-2*((sqrt(343) - (sqrt(343) - sqrt(343)*-1)) + sqrt(343)) - sqrt(343))))**2.\nAnswer: 5\/784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18133721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 + 31. Let v(u) = 2*u + 8. Let s be v(7). Let r = f - s. Does 17 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/13)*l)**(-1) assuming l is positive.\nAnswer: l**(-11\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -2318666\nAnswer: 231866.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 724*h**2 - 507*h**2 - 3236*h**2.\nAnswer: -3019*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-26)\/(-8) - (75\/20)\/(-5). Let s(j) = -j + 1. Let v be s(4). Let u = 46 - 48. Put u, l, v in ascending order.\nAnswer: v, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 6*z - 31. Let c be v(6). Suppose -5*q - 75 = c*r, 5*r - 2*q + 67 = q. Does 25 divide (-7)\/(r\/132) - -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 357\/9 - 6\/(-18). Suppose k = 6*s - s. Let o = s + -5. Calculate the greatest common divisor of o and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 9 = -3*a, -9 = a - 4*p + 3. List the prime factors of -1*(2 - (403 + a)).\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 935787200 a multiple of 1180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -90.6 - -91. Which is the second biggest value? (a) w (b) 3\/7 (c) -3.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4738 and 21119635?\nAnswer: 2369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 15*x**2. Let k(w) = -w**2 - 211 + 211. Calculate g(k(v)).\nAnswer: 15*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1677495795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 94 - 93. What is the units digit of 1582\/10 - p\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of 0*c**5 - 131\/6*c**3 + 0 + 0*c + 0*c**4 - 45*c**2 - 1\/30*c**7 + 1\/120*c**6. Find the first derivative of w(u) wrt u.\nAnswer: -28*u**3 + 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z**2 - 3*z**2 - 22*z**3 + 4*z**2 + 44*z**3.\nAnswer: 22*z**3 + 7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 48048.858 seconds in hours?\nAnswer: 13.346905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (1*sqrt(11)*-6 + 5 + 5 + sqrt(11) + 0 + 3)**2*6)*4.\nAnswer: -3120*sqrt(11) + 10640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*h + 37*h - 3, 3*h = o - 23. What is the greatest common divisor of 3020 and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9414 + 10130. Is z a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(242) + (0 + sqrt(242))**2 + 4.\nAnswer: 11*sqrt(2) + 246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**3 - 160*b**2 + 4*b + 160 = 0. Calculate b.\nAnswer: -40, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, g: 3, p: 5, f: 1, c: 2}. What is prob of picking 1 c and 1 g?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 31, 23, 1, 15 in ascending order.\nAnswer: -4, -1, 1, 15, 23, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -s**3\/6 + s**2\/2 + s - 3. Let a(j) be the first derivative of b(j). Suppose -3*t + 10 = -t. Calculate a(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(1395\/(-6))*50\/10?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-163)\/12*(-4)\/(-2). Let g = v + 6025\/222. Is g at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 4 - k**5 + 174*k + 0 - 148*k. What is the derivative of n(y) wrt y?\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3688517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191490901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 9566396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1171 - 1867*r + 1180 + 1171 - 3522.\nAnswer: -1867*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.6 + 0.4. Let j be ((-4)\/(-6))\/((-2)\/4). What is the nearest to 0.3 in a, j, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - ((-10 - -1) + 6)) + 4 - -18?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*m - 16 = 0, -4*k + 7 = 5*m - 15. What is the greatest common factor of k and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.17845 litres?\nAnswer: 1178.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 569275 (base 11) to base 13.\nAnswer: 259156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**3 + a**2 - 2*a. Let i(b) = b**3 + 4*b**2 + 3*b - 5. Let t(o) = -o**3 - o**2 + 1. Let k(l) = -i(l) - 5*t(l). Determine 4*k(m) - 5*w(m).\nAnswer: m**3 - m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d - 10*d - 50 = 17*h - 13*h, -41*d + 2*h + 313 - 48 = -2*h for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 7:02 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -63050 - -102974. What is the ten thousands digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*f)*(-2*f**4 + 2*f**4 + 2*f**4) - 65*f**2 - 19*f**5 + 65*f**2.\nAnswer: -15*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -34*m + 37*m + 73049, -2*m = 5*k - 182613. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1322*i*m**2*t**2 + 5*i*m**2 + 14*i*t**2 - 512*m**2 - 94*m*t**2 - 10*m + 6 wrt m.\nAnswer: 2644*i*t**2 + 10*i - 1024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68) + (-4 + 3*sqrt(68))**2 + -1*sqrt(68)*1.\nAnswer: -48*sqrt(17) + 628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12192292 to the power of 1\/2, to the nearest integer?\nAnswer: 3492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 53 (b) -5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 469 - -1085. List the prime factors of m.\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 2 - 2)*(0 - 6 + 4)*(-2 - 2 + 0)*(6 + 3 - 5)*(4 + 2 - 1).\nAnswer: 320*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -365, -1269, -3677, -8327, -15957, -27305, -43109, -64107?\nAnswer: -91037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/40*36*21\/567\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111 + 11000011001?\nAnswer: 11000000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3027312 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 29*n**2 + 97*n - 8. Let k be i(-4). What is the nearest to -0.09 in 5, k, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 18 + 6 = 0. Is 6 a factor of (-7)\/((-14)\/x)*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-31)*49\/(-2254). Which is bigger: l or 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80686009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*a + 9. Let o be a\/2*(-10)\/(-6). Factor o - 2*l**2 - 5 + l**3.\nAnswer: l**2*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -576*y**2 - 730. Let c(m) = 2*m**2. Give c(k(g)).\nAnswer: 2654208*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**2 + k**2 - k**5 - 6*k**5 + k**5 - 6*k**5 - 3*k**5 + 2*k**5 + 3*k**5 + (-k**3 - k**3 + k**3)*(-3*k**2 + 3*k**2 - 2*k**2) - 4*k**3 + 4*k**3 + 2*k**5.\nAnswer: -6*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 29*p + 13. Let v be c(16). What is the highest common divisor of 17 and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1.8, -1.3, 2\/45, 5?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 228462 and 1066156?\nAnswer: 3198468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + i**3 + i)*(-1 + 0 + 3) + (-i**3 - 3*i**3 + 2*i**3)*(4 - 6 - 1)*(4 + 8 + 8).\nAnswer: 122*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8276385?\nAnswer: 3, 5, 13, 42443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10386, 10411, 10464, 10551, 10678, 10851, 11076?\nAnswer: 11359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**2 - 17*p + 6. Let k(i) = i**2 + 8*i - 3. Let w(u) = 5*k(u) + 3*x(u). Let l be w(-11). Solve l = 4*b - 5*h - 14, -2*b = -5*h - 21 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -3\/4*b**4 + 0*b**2 + 0*b**3 + 0 + 0*b**5 - 1\/15*b**6 - 3*b. Find the third derivative of f(h) wrt h.\nAnswer: -48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 354\/21 - 180\/210. Suppose 5616 = f*l + 2*l. Calculate the highest common divisor of l and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - -1) + -1 + 4. What is the units digit of 100\/y*(-39)\/(-26)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 2*z - 1083 + 381, -z = 4*i + 1414. Let n = i + 353. Let q(r) = r**2 - 19. Determine q(n).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) -7 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 157*v + 6. Suppose 6*l - 13*l = 7. Let i(f) = -1. Let k(h) = l*j(h) + 3*i(h). Does 61 divide k(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3*f = -84, -5*c - 8*f + 12*f = -140. Solve 0 = 5*o - 4*u + 6*u - 15, c*o = u + 84 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 22*a + 23. Let p be u(-21). Suppose -m - 9 - 1 = -p*i, -4*i - m = -14. Factor -3*d**i - 5*d**4 + 5*d**5 + 3*d**4.\nAnswer: 5*d**4*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37 - -55. Let v be 2 + (-58)\/y - -1. Let g be -2*1*(-2)\/4. What is the smallest value in v, g, -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 395*d**2*m**2 - d**2 - 80*d*m - 6*m**2 - 3*m wrt m?\nAnswer: 790*d**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/1277 + 90679\/7662. What is the common denominator of c and (-182)\/15*(-6)\/(-8)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 258*f**2 + 6*f - 74. Let x(u) = -52*u**2 - u + 14. Calculate 3*i(y) + 16*x(y).\nAnswer: -58*y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iifl when four letters picked without replacement from {f: 5, i: 3, l: 1}.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -91*r + 61*r - 30. What is the closest to r in 5, 2\/11, 14?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w + 10. Let a be d(-6). Suppose -4*c - 12290 + 45854 = 0. Suppose -a*q + 4*u - c = u, -q - 2115 = 5*u. What is q rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186370 is divided by 92876.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9175775 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.94 - -0.54. What is the second biggest value in -1\/4, d, 3\/8, -7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25434 and 1268874?\nAnswer: 2826","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20802, -20799, -20796, -20793, -20790?\nAnswer: -20787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 326 + 4*r - 112 - 213. Let c(f) = 9*f + 3. Let g = -17 - -15. Give g*c(z) + 5*j(z).\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/(-72) + (-29)\/(-9). Suppose 5*c - 9 = -i*o, -c + 12 = 3*c + 4*o. Suppose 0 = -6*l - c*l - 18. Let b(x) = 5*x + 4. Calculate b(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of n**9\/63 - 11*n**5\/60 + 4*n**2. What is the third derivative of b(c) wrt c?\nAnswer: 960*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 168145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 12, 3*h + 4*f = 2*h - 20. Let k(m) be the first derivative of m**4\/4 + 3*m**3 + 9*m**2\/2 - 3*m + 9214. Give k(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 12) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + z = 4. Let x = 0.6 + 0.4. Let g = x + -1.1. What is the nearest to g in -0.1, 2, z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -16999 = -17010?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*n**2 + 0*n**3 + 3*n**3 - 5*n**3 - 2*n**3 + n as a*n + c + b*n**2 + g*n**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 1 - -5 - -5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) -558\/13 (b) -1 (c) -3 (d) -1.37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 6. Suppose -r*n = -0*b - 5*b + 22, 3*n = -2*b + 24. Solve -b = -4*i + 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 2*z + n + 23, -4*z = 3*n - 51. Let o be 0 - (-3 - z\/3). What is the second derivative of a**2 + 13*a + o*a - 22*a wrt a?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 5*p = 20, -4 = -4*k + 2*p - p. Suppose 23 = -5*j + 3. Let c = k - j. Solve -c*x = -0*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*j - 12*j. Suppose j = -f + u - 3 + 5, -f + 27 = 4*u. Suppose -12*o = -f*o - 1355. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 1 + 174525\/3. Let b = z - 34084. Suppose 2*v + b = -5108. Round v to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(756)*-1 + sqrt(21) - -4*sqrt(126)\/sqrt(6))\/(sqrt(28)*-3 + sqrt(448)*-1).\nAnswer: sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*v - 24*v = -6. Let p(t) = -13*t + 8. Let g be p(v). Calculate the greatest common divisor of 17 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*t - 7. Let j be 210\/49 + (-2)\/t. Suppose j*m - 56 = -d, -5*d + 14 = -0*m + m. Is 14 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13123234 + 0?\nAnswer: 13123234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 10460184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of 0*t + 0 - 4*t**2 - 1\/12*t**5 - 7\/24*t**4 + t**3. Solve p(r) = 0 for r.\nAnswer: -2, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**5 + 3*d**5 - 4*d**5 + (3*d**2 + 14*d**2 + 7*d**2)*(2*d**3 + d - 2*d + 3*d).\nAnswer: 47*d**5 + 48*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45955 by -455.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -2432?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -8*o**2 - 21. Let d(i) = -8 - 3*i**2 + 37 - 29. Give d(x(m)).\nAnswer: -192*m**4 - 1008*m**2 - 1323","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 28*t. Let y(f) = 85*f. Determine -7*d(i) + 2*y(i).\nAnswer: -26*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 2*p + 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 27*r**4 + 251*r**3 - 234*r + 39488946?\nAnswer: 108*r**3 + 753*r**2 - 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -32. Let v = -85 - -122. Let q = v - d. Is q a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -g**5\/60 - 11*g**4\/24 - 2*g**3 - 121*g**2. Let c be a(-10). Sort c, -1, -19.\nAnswer: -19, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 520999129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vmsvvxsvvvxvovvv. What is prob of sequence oxs?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 149 + 100. Suppose -5*k = -243 + f. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 834181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 5, 10577 in increasing order.\nAnswer: -4, -1, 5, 10577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4*d + 12. Suppose -4*b + f + 3 = -d, b = 2*f. Which is smaller: -1 or b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -599? (a) -0.4 (b) 2 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35706677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 357 + -350. Calculate the least common multiple of 24 and d.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-13 + 8)) + 7\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 4*u**2 - 18*u - 7. Let k be (8\/24)\/(2\/(-18)) - 5. What are the prime factors of r(k)?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/453258 and 173\/16921632?\nAnswer: 50764896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**(-29)))\/(g**(-1\/4)\/g) assuming g is positive.\nAnswer: g**(-111\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmm when four letters picked without replacement from {m: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 7*m - 2*m + m - 6*m**3 - 12*m**3 + 19*m**3 + 4*m**2. Give h(-4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**2 + a**2 - 3*a**2 + (-5*a**2 + 3*a**2 + a**2)*(0 - 4 - 7).\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4 - 19*l**3 - 99*l**2 - 81*l.\nAnswer: -l*(l + 1)*(l + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37664 and 1111?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -515 + 540 = -5*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**5 + 18*d**4 + 48*d**3 + 32*d**2 = 0?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 + 34 - q**2 + q**3 - 2*q**4)*(-2*q - 2*q + 0*q).\nAnswer: 8*q**5 - 4*q**4 + 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 0 - 3 - (0 - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqqqqgqgg. What is prob of sequence ggq?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*g + 14 = 5*j, -5*j = -4*g - 11. Solve -5 + j = 2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 455370 and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 458591 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**2 - 3*m**2 + 2*m**2 + (-2*m**2 + 4 - 4)*(-6 + 3 + 1) - 1 + 0 - 5 + 2*m**2.\nAnswer: 4*m**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 6703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**2. Let x(q) = 292*q**2 - 4*q - 1770. Give x(w(m)).\nAnswer: 1168*m**4 - 8*m**2 - 1770","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.05 and -6669?\nAnswer: 6668.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 6 - 4 = 0. Let x be 8 + -7 + (1 - b). Suppose w + 69 = x*w. Is 23 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 4*a**3 - a**3 - 4*a**3. Let w = -5 + 6. Let c(r) be the second derivative of -r**5\/20 + r**4\/6 + r**2\/2 + r + 344. Determine w*c(q) - 2*t(q).\nAnswer: q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -38201596 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 - 3*q - 9 - 31 - 43 + 12 to the form c + y*q and give c.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 930566.7 micrometers in kilometers?\nAnswer: 0.0009305667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*d + 296 + 629 + 894 = 0 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1945798 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1774\/5, -1\/10, -3\/4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + 0.4. Let n = -36 + 39. Which is the third smallest value? (a) 0.3 (b) i (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-1) + -7 + -4 + 5 + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -5*q**2 + 7*q - 3. Let m(k) = -12*k**2 + 13*k - 7. Let z(a) = 2*m(a) - 5*v(a). Determine z(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 - 4*b**2 + b**2)*(-127*b - 2*b - 14*b).\nAnswer: 286*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 3128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*(m**(-11)*m)\/m)*m**(-1)*m)\/(m**(-4)\/m**(-5\/4)))**(-20\/3) assuming m is positive.\nAnswer: m**(-275\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 373 + 66. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2\/7 - 8*u\/7 + 11660\/7.\nAnswer: -4*(u - 53)*(u + 55)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55045 (base 9) to base 12.\nAnswer: -1914b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(500))\/((sqrt(484) + sqrt(4))*-4).\nAnswer: -5*sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43652?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-eight fifths of a millennium?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2297 rounded to two dps?\nAnswer: 1.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 45957595 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(-4))\/(6\/8) - 4698\/(-2160). Let x(c) be the third derivative of w*c**6 + 22*c**2 - 7\/10*c**5 + 2\/35*c**7 + 0*c**3 + 0 + 3\/8*c**4 + 0*c. Factor x(j).\nAnswer: 3*j*(j - 1)*(j + 3)*(4*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b00 - -3727?\nAnswer: 2827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 4222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 2*s - 52, s + 2 = -u - 9. Suppose -j = -3*j + 104. Calculate the lowest common multiple of 14 and 4\/u - j\/(-5).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38 + -153\/4. Suppose -4*g + 23 = -3*f, 3*f + 2*f + 33 = 4*g. Let d be (g\/36)\/((-7)\/56). Which is the third biggest value? (a) d (b) 3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6950 is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 0*u - 3*u)*(2*u - 2 + 4 + 1).\nAnswer: -8*u**2 - 12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -7*n. Let k(g) be the first derivative of -4*g**2 - 3*g + 130. Determine f(k(y)).\nAnswer: 56*y + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 602392 to the power of 1\/2, to the nearest integer?\nAnswer: 776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((-4)\/(-21))\/(54\/(-81)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1111442418 to the nearest integer?\nAnswer: 33338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110, -253, -424, -623, -850?\nAnswer: -1105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + (-5)\/(-35)*(31 - 4). What is the second biggest value in 4\/7, i, -4, -30\/47?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*o**2 + 39*o**3 - o**2 - 56*o**3 wrt o?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(((-819)\/14)\/(-39))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.12, 2\/13, 17?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1827?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96830 and 322?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 5\/8 (b) -6\/11 (c) 0.2 (d) -4\/125 (e) -1\/10 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.9949 grams to kilograms.\nAnswer: 0.0129949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + -68. Let d = k + 250\/3. Let q = 47\/44 - 9\/11. Which is the biggest value? (a) -5 (b) d (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15881823 a multiple of 1059?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by -5 - -2 - (3*16)\/(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 20. Let r = 7 + s. Suppose 2*z = r + 6. Solve z*x - x = 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -56, -86, -148, -254, -416, -646, -956?\n\"Answer: -2*o**3 - 4*o**2 - 4*o - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 362 - 355 - (2\/8 - (-1)\/(-4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 9*j + 7. Suppose -5*g = j*d - 67, -3 - 1 = 2*d. Is 7 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18140859.16 - -154.97?\nAnswer: 18141014.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.279805 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -38886 - -4783765737\nAnswer: 4783726851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 4*a**2 + a + 2. Let m(b) = b**2 - b + 2. Let d be m(2). Let h be v(d). Suppose -3*z = -h*z. Solve -5*p + p - 16 = z for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 9) to base 2\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 9) in base 15?\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 158 + -85. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 2*g - 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 11*j**2 - 40*j + 192. Give n(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 2:39 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 9 - (760 + -809).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -50464*p**2 - p**3 + 50449*p**2 - 2 - 4*p + 22*p. Calculate j(-16).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.082329486869 - 0.4.\nAnswer: -0.482329486869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2930885, 2930653, 2930435, 2930237, 2930065, 2929925?\nAnswer: 2929823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h - 15. Let m be t(14). Let b be (1\/37)\/(m\/(-1) - 2). Which is greater: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24\/19 + 98\/19*s - 8\/19*s**2.\nAnswer: -2*(s - 12)*(4*s - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x = -19 - 41 - 57 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 31 (b) -6 (c) -2 (d) 46\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b**3 - 6*b**2 - b**2 + 7*b**2.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*w - 63*w**2 + 60*w + 62*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 l when two letters picked without replacement from lxflfjklkxkt?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 161\/502944 and -25\/1176?\nAnswer: 24644256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -712148, -712156, -712162, -712166, -712168, -712168, -712166?\nAnswer: -712162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -762, -768, -760, -732, -678?\n\"Answer: g**3 + g**2 - 16*g - 748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2353428127.\nAnswer: 409, 5754103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-6) - 7\/(-3). Suppose -w*h = -6*h + 56. Suppose 96 = 4*x + 2*l, -4*l - h = 2. Does 8 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-33))**20*g**(-18)*g**(-5\/3))**(-3\/13) assuming g is positive.\nAnswer: g**(2039\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -0.7.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -163.1 - -163. What is the nearest to k in -3, -0.2, 10?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -242113.3404582581 - -13.0403822581. Let m = -242098 - b. Let h = -2.3 + m. What is h rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1904 and 115920.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, i: 7, e: 3, r: 1, x: 4}. What is prob of sequence em?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 10*n - 50. Let q be n\/(-4)*(-5 - -3). Suppose -62 + 2 = -q*b. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.6 + -2. Let g = -1 + l. Let b be ((-10)\/35)\/((-6)\/14). What is the biggest value in b, 3\/5, g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*t**2 - 2*t**3 + 3*t**3 + t**3 - t**3.\nAnswer: t**3 + 59*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0)**(-5\/11)*(q\/(q\/(q\/(q*q*q**(-1\/4)))))\/(q*q**(-2\/15)*q))\/(q**(-1)\/q*q\/q**(2\/7)*(q\/(q**1\/q))**(-27)) assuming q is positive.\nAnswer: q**(10781\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 287808 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 711 and 1229793?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27330030 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: Suppose 2*x**2\/7 - 5378*x\/7 - 5380\/7 = 0. What is x?\nAnswer: -1, 2690","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -7*t + 25*t - 12*t + 1 - 5*t. Let p(b) = -2*b**2 - 2*b - 2. Determine -p(z) - 2*s(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -2*x + 14, -5*d + 20 = -11*x + 16*x. Suppose -3*z - 21\/2*z**x + 0 = 0. What is z?\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -f**6\/10 + f**5\/15 + f**4\/6 + 7*f**3\/6 - 17*f**2. Find the second derivative of p(z) wrt z.\nAnswer: -72*z + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 916, -2, 2 in ascending order.\nAnswer: -5, -2, 0, 2, 916","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356 is divided by 27.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of 2*v**2 - 1\/24*v**4 + 0*v + 0 + 3\/2*v**3. What is q(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by 5552.\nAnswer: 1\/347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 + 600*u**2 + 10805*u + 10200.\nAnswer: -5*(u - 136)*(u + 1)*(u + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 6470000 to the nearest one hundred thousand.\nAnswer: 6500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6517996 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-987)*(-90)\/(-120).\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 0 + -26 + 36 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 19956, -3, 2\/857?\nAnswer: 2\/857","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1656546 to the nearest integer?\nAnswer: 1287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**2. Let k(p) = 20*p - 11. Let i(v) = 4*v - 2. Suppose 0 = -q - 2*x + 28, -3*x + 4*x = 3*q - 63. Let r(g) = q*i(g) - 4*k(g). Determine r(j(m)).\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w - 2. Let s be 1*-2 - 27\/3. Let p(t) = -t - 1. Let l(c) = -c**3 + 6*c**2 + 7*c + 4. Let u be l(0). Give s*p(b) + u*h(b).\nAnswer: -b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) -1\/7 (c) 4 (d) -58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 1 - 10*f + f + f**2 - 8*f + 2*f. Let o(i) = i - 7. Determine 13*o(u) - 6*s(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ptpp when four letters picked without replacement from ppptpppppt.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.8394809 rounded to one decimal place?\nAnswer: 23.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 1 - 13*j**2 - j**3 + 13*j - 6 - 2. Calculate the smallest common multiple of 2 and v(-14).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14128 - -14588. Solve -450*c + i*c + 20 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - -1165369649462\nAnswer: 1165369649450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*z = -135 - 489 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.21 + 0.21. Let q = -127 + 2919\/23. Which is the nearest to q? (a) -1 (b) n (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11807 <= 2\/641?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 711 - g**2 - 5*g**2 - 755 as i*g + b*g**2 + r and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 3028.426244 to the nearest 10.\nAnswer: 3030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1304925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 10 + 2 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1712.7 - 1541. Let b = i + -179. Let t = b - -7.2372. Round t to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 29*c - 5. Let a(u) = 57*u - 11. What is -3*a(y) + 7*k(y)?\nAnswer: 32*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q + 11. Let b be p(-8). Suppose -u = -b*u + 20. Let f = u + -2. Is f a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/11 + 18733720*j\/11 + 43869033129800\/11.\nAnswer: 2*(j + 4683430)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 - -49. Which is the closest to -1\/4? (a) -5 (b) v (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6*10\/(-60)*-1. Put 0, 3, c, 6, 2 in increasing order.\nAnswer: 0, c, 2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 32, -1\/4, -1\/6?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -253*a*t**2 - 1608061*a - 143*t**3 wrt t?\nAnswer: -506*a*t - 429*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**3 - 15*a**3 - 5*a**3 - 12*a**3.\nAnswer: -36*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/(-10)*(-50)\/(-225)*20\/(-16). Factor -1\/4*j - n*j**2 + 0*j**3 + 1\/2*j**4 + 0 + 1\/4*j**5.\nAnswer: j*(j - 1)*(j + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 152013.85 to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-2\/13))\/v*v*v\/(v*v**(-2\/9))*v)**(-8\/7)*(v*v\/(((v*v\/((v*v*v**(-3\/5))\/v))\/v)\/v)*v*v*v*v**(-8)*v)**22 assuming v is positive.\nAnswer: v**(-155264\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = u - 2*u + 6, -9 = 2*u + 3*g. Let f(x) = x**2 + x - 4. Let l be f(u). Let c(q) = 2*q - 4*q + q**2 + 3 + 6*q. Give c(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 1458.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 163 in 0.4, 0, -0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o + 0*o + o + (15 + 3 - 9)*(5 - 5 - 3*o) as u + h*o and give h.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 81248*d + 32. Let r be q(16). Round r to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10725 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of u**4\/24 + 161*u**2 + u. Let f(m) = -1748*m**2 + m - 1. Calculate a(f(v)).\nAnswer: -1748*v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.1, 14\/13, -46?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, l: 1, d: 1}. Give prob of picking 1 l and 1 v.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 119\/42 - 2\/(-12) and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 13. What is the third smallest value in -4, b, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 461\/80 + -41\/80. Let r(d) be the first derivative of x*d**4 - 36 + 0*d**3 + 20*d**2 + 0*d. What is the second derivative of r(h) wrt h?\nAnswer: 126*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {x: 3, q: 5, o: 4, m: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9392 + -372?\nAnswer: 9020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 134069828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 17*f - 5. Let c be b(-17). Let m = -0.1 + 0. What is the smallest value in m, c, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q**3 + q - 3. Let k(i) = 20*i**3 + 3*i**2 + 8*i + 2. Calculate -6*c(d) + k(d).\nAnswer: 2*d**3 + 3*d**2 + 2*d + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -3911 and -3912 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/(-130) + -3662*2\/(-52). Suppose 33 = 2*x - c + 31, -5*x = 2*c - 23. Calculate the highest common factor of a and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (16 - 15)\/((-2)\/8). Let f = 6007 + -66157\/11. Let v = f + 604\/77. Put 1\/6, z, v in decreasing order.\nAnswer: v, 1\/6, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6735 minus -4?\nAnswer: -6731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 719.073895 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 9 = -3*y, -3*y - 2*v + 3 + 3 = 0. Suppose y*j = -2*j. Suppose 4*i + 2*w + 0*w - 30 = j, 0 = -5*w - 15. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 40*g**3 + 26*g**2 - 20*g + 33. Let j be v(12). Suppose -19*n + 41780 = -j. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 7:02 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 8:39 AM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/11)*(z\/((z\/(z*z\/z**(-3)))\/z)*z)\/(((z**2*z)\/z)\/z))\/(z**(-44)\/z**27) assuming z is positive.\nAnswer: z**(849\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pm when two letters picked without replacement from {p: 2, t: 1, g: 4, m: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -59052086 <= -59052087?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -4*p - 15, -122*p = -4*l - 124*p - 12 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + q + 1 - 175*q - 140*q + 93*q + (-4 + 4 + q)*(4 - 2 - 1))*(-2 + 7 + 2) as r*q + c and give r.\nAnswer: -1540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2570*s + 0*s**3 + 2565*s + s**3 - 5135*s.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -48769\/111 - -1318\/3. What is the third smallest value in -0.08, q, -3, -0.4?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-16))\/(-1) + (-36948)\/(-96). Calculate the greatest common factor of 105 and j.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000062 to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 744 and 2292.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ydyd when four letters picked without replacement from dtdtykttddd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 6 = 5*a, -14*k - 13*a - 31 = -19*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12184778?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3593.46 times 0.3?\nAnswer: -1078.038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**2 + 13*l - 36. Let x be f(-8). Let d = x - 43. Solve 2*a = -4*c - 3*a - d, -2*c + 18 = -2*a for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.53*227458.\nAnswer: 120552.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1.6277 * -0.3\nAnswer: -0.48831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 10:41 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.4737339 tonnes?\nAnswer: 473733.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -488243 divided by -123\nAnswer: 488243\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -560*m**2. Let p(n) = 27*n. Calculate p(t(b)).\nAnswer: -15120*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, m: 7, j: 3, x: 5, l: 1}. What is prob of sequence xljj?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*l + 45*l - 6588. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 6*r + 21. Let f be n(-11). Let j be f\/35*6\/45. Which is bigger: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cnc when three letters picked without replacement from {n: 6, c: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 4*l**3 + 6*l**2 + 5*l. Let m(k) be the third derivative of -1\/60*k**5 + 0*k + 0*k**3 - 42*k**2 - 1\/120*k**6 - 1\/24*k**4 + 0. Determine 6*m(y) + o(y).\nAnswer: -2*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -31ad2 - 16?\nAnswer: -31ae8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Convert -2bc (base 15) to base 14.\nAnswer: -32b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 3 = 2*o, -576*w - o + 1 = -574*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 29*x**4 - 2*x**3 - 3*x**2 - 65*x - 2. Let p(n) = 2*n**4 + n**3 + n**2 + 1. Let f(s) = a(s) + 2*p(s). What is the second derivative of f(m) wrt m?\nAnswer: 396*m**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 15 = k, 2*k + 4*p - 6*p = -2. Let s be 144\/k - (-12)\/15. What is the common denominator of 8\/s - (-964)\/42 and -3\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -25*b**2 + 5*b. Let p(u) be the second derivative of -u**4\/12 + 844*u. Calculate p(x(t)).\nAnswer: -625*t**4 + 250*t**3 - 25*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 1)\/((-6)\/18). Let l = h + 3. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2316*g - 4591. Is h(-20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -36594*c. Let x(l) = l**2 + 2. Give i(x(k)).\nAnswer: -36594*k**2 - 73188","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 44 = -2*q - 66, 0 = 4*q + 20. Let s = -43 - c. Solve 0 = 4*a + 3*j - s, 0*j - 4*j = -20 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*-0.326\nAnswer: -1.956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (m + 2*m - 5*m)*(-5 - 1 + 5)*((0 - 2*m + 0)*(-4 + 1 + 0) - 4*m + 2*m + m) as f*m + w + d*m**2 and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9*-1893.8.\nAnswer: -1704.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -69.47 + -1.53. Let p = -66.9 - y. Let q = -4.09978 + p. Round q to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3697 + -1?\nAnswer: -3698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/5)*h**(-1\/4))**(-2\/27) assuming h is positive.\nAnswer: h**(1\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2461 - -9863. List the prime factors of m.\nAnswer: 2, 3, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -7*n**2 - 2*n + 1. Suppose -13 + 13 = 2*d. Let g = d - -1. What is b(g)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*c = -6, 3*t - 12 = -5*c + 10. Let j(b) = -b + 19. Let x be j(t). Solve -x*k = f - 12, -f + 6*f = k + 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (75\/(-6) + -1)\/(7\/(-42)). Suppose 3*g + v = 4*g. Is 7 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7163\/5340 + 9\/356. Find the common denominator of o and -119\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 14*a + 1. Let m be p(0). Solve -4*t = q - 17, -5 - m = 2*q for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 61938071*j**3 - 9969*j**2 - 4260*j?\nAnswer: 371628426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 5 = -2*o - 3*s, -4*o + s = 4. Let u be (120\/(-225))\/(o\/(-21)). Let x = -127\/20 - u. Which is smaller: x or -2\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/19 (b) 13106 (c) -2\/5 (d) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -6*r + 22. Let f be g(5). What is the remainder when (-1)\/(4\/f) + 65 is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*q**2\/11 - 1644*q\/11 + 144\/11 = 0. What is q?\nAnswer: -12, 2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 695, -11, -3 in descending order.\nAnswer: 695, -1, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -252546423 - 4?\nAnswer: -252546430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 361934291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 142650.7l in millilitres?\nAnswer: 142650700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -194 - -191.53. Let m = 1.47 + h. Which is the nearest to -2\/9? (a) 0.5 (b) m (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 21*v**2 - 9*v - 4. Let z be i(4). Let j = 571\/2 - z. Calculate the common denominator of j and -59\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38\/(-19))\/(11\/((-198)\/(-12)))*427\/(-2013)?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -447, -1789, -4019, -7131, -11119, -15977?\n\"Answer: n**3 - 450*n**2 + n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 2\/11, 0.051?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.8 minus 13637995363?\nAnswer: -13637995325.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 5*i = -10, -5*h - 3*i - 29 = -4*i for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {e: 3, x: 1, n: 9, s: 1, v: 3, d: 2}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 44*c + 26*c - 24*c - 782 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -1314*i - 42901. Determine h(-33).\nAnswer: 461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001 (base 2) to base 12.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26.37 + -26.43089. Let b = -0.71 + 0.648. Let j = l - b. What is j rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 379 - 374. Sort w, -12, 0.\nAnswer: -12, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -824 - 2*b**3 + 499 + 325.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1318223826 to the power of 1\/2, to the nearest integer?\nAnswer: 36307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -100053 + 535?\nAnswer: -55114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 279.4 - 222. What is w rounded to 0 dps?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1439*a**3 - 5*a - 278?\nAnswer: -8634*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(13)*1*5)*-5.\nAnswer: -25*sqrt(13) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c + 2. Let n = 156 - 149. Let k be d(n). What is the second biggest value in -2\/3, k, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.8 + 190946\nAnswer: 190942.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-5 - (3 + (-2 - 3))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/13 - 3252*q**2 + 84558*q\/13 - 42280\/13.\nAnswer: -2*(q - 1)**2*(q + 21140)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 77955?\nAnswer: 389775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (sqrt(210)\/(sqrt(7) - (sqrt(14)*2 - sqrt(14))\/sqrt(2) - sqrt(7)))\/(5*sqrt(72)\/(-1*sqrt(12))))*5)**2.\nAnswer: -20*sqrt(5) + 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.2 - 1211.8. Let g = 1221.99999181 + u. What is g rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 + 1092*j.\nAnswer: -3*j*(j - 364)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -33, 55, -12, 1, -5, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 25*r**2 + 18*r - 34. Suppose 66*t = 63*t - 72. What are the prime factors of v(t)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 27*x**2 + 3*x - 60. Give v(27).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**3 + 18*l**2 - 38*l + 100. Determine b(6).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -50?\nAnswer: 4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -934665*a**3 - 1154751*a**2 wrt a?\nAnswer: -5607990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u**3 + 1775*u**2 + 1190*u = 0. Calculate u.\nAnswer: -2\/3, 0, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33005?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wgbjajgaahj. Give prob of picking 1 g, 1 w, and 1 a.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 19. Let j(m) = -2*m + 3*m**3 + t*m**3 - 6*m**2 - 9*m**3 + m**3. Let p be -6 + 1*(-1 + 1). Give j(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 599 + 3?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6209.\nAnswer: 7, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is d0 (base 15) in base 11?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 6*a**2 + 13*a - 28. Is 2 a factor of g(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 229431, 229430, 229429, 229428?\n\"Answer: -t + 229432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123815 divided by 41.\nAnswer: 123815\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 17 + -5 + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 0*j + 3*j)*(-j + 2 - 2)*(6 - 6 + 4*j).\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-s - 3*s + 5*s)*(4 - 2 + 0) - s + 0 + 0 + 2 - 2 - 4*s + (-s - 3*s + 5*s)*(2 + 1 - 2) + 3*s - s - 5*s)*(-37 - 24 - 23).\nAnswer: 420*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.2 (b) -1.5 (c) -3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.07 (b) -1\/16553 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*c + 5*m = 59, 2*c - m = 118. List the prime factors of c.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + 6. Let n be 1*-1 + 20\/m. Solve 0 + 1\/4*g**2 - n*g = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60488021?\nAnswer: 11, 379, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1.8 (b) -18 (c) 0.4 (d) 0.3 (e) 6 (f) 0.44 (g) 0\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 74312 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 291184900 to the nearest one million.\nAnswer: 291000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1051*n + 33*n + 272*n - 585*n.\nAnswer: -1331*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -178, -151, -110, -55, 14, 97, 194?\nAnswer: 305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*f - 4 + 57*f + 4.\nAnswer: 35*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 23123 (base 5) in base 2?\nAnswer: 11001111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1778 and 9?\nAnswer: 16002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1262173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/11)\/(9\/(-6)) + (-168)\/(-77)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -6*g - 1. Let v be b(-1). Suppose 4*o + o - v*p = 115, -o = 2*p - 32. Calculate the lowest common multiple of (-124)\/(-6) + (-6)\/9 and o.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*h + 20 + 74*h - 475 + 81*h.\nAnswer: 96*h - 455","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1141301024 + 2313?\nAnswer: -1141243211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 989309 is divided by 735.\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0648 - 0.1252. Let o = 0.4604 + b. What is the second biggest value in o, -3, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0099769 times 7.08\nAnswer: -0.070636452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1872700752 and 3824.\nAnswer: 3824","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*a**3*b**2 + 697*a**3*b - 2*a*b**4 + 38*b**3 wrt b?\nAnswer: -6*a**3 - 24*a*b**2 + 228*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -0*g + 5*x - 13, 3*x - 11 = -2*g. Suppose -25 = -9*n + g*n. Which is bigger: n or 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -201?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 4*c**2 - 4*c - 4. Suppose 5 = x + 9. Let s be b(x). Suppose s = 4*p - 0. Calculate the remainder when p is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3 + 80*u**2 - 555*u - 630.\nAnswer: 5*(u - 6)*(u + 1)*(u + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*b + 55*b = 476 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ucnx when four letters picked without replacement from rnnxcexnrux.\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19\/11 in 2\/25, -2\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 1692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 9*n - 2*n**4 + 6 + 4*n**3 + 10*n + n**2 - 7*n**2 as y*n**3 + z*n**2 + g + k*n + j*n**4 and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 285722 divided by 6.\nAnswer: 142861\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h = -3*h - 3*z - 4, 2*z = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 423 and 355320?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -12*j - 93. Let f(t) = 2*t**2 + 15*t - 12. Let l be f(-7). What is the remainder when h(l) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of 0 + 1\/120*v**6 - 17\/24*v**4 - v**2 + 1\/4*v**5 + 43*v - 23\/6*v**3. What is s(-16)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-5 - -2) - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 6*z**2 + 4. Let d(r) = -5*r - 168. Let y be d(16). Let m = 242 + y. Calculate n(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11487883457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (5 - (3 - 1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 32, 58, 68, 56, 16, -58?\n\"Answer: -i**3 - 2*i**2 + 39*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/36)\/(2\/(-4)) + 51\/108?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one tenth of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 130502, 260846, 391190, 521534, 651878, 782222?\nAnswer: 912566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(18\/4) + 20\/15. Factor 8*u**3 + 68*u**2 + u**4 + u**4 - 62*u**f.\nAnswer: 2*u**2*(u + 1)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11010001001000 (base 2) to base 9\nAnswer: -20321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-5*(-7)\/21*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 14 = -5*l. Let a be l\/8 - 19\/(-4). Put 0.3, -4, a in descending order.\nAnswer: a, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 387 is divided by 73.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**3 + 212*p**2 + 47*p + 491. Calculate j(-106).\nAnswer: -4491","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(972)*-2)\/(((-4*sqrt(45) - sqrt(45)) + sqrt(45))\/sqrt(5)))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -344.9.\nAnswer: -172.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 130016, 259944, 389788, 519548?\nAnswer: 649224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2 - 61*b - 29. Is d(-24) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of 0*c - 7*c**2 + 2\/3*c**3 + 0 - 1\/60*c**5 - 1\/12*c**4. Determine g(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/25 of a millennium?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 34 = 4*b + 2*x, 3*b + 2*x = -22. Let l be b + 4 + 2 + 3. Suppose 0 = -l*t + 12, -31 = -2*q - 5*t + 25. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5 - -0.9. Let d = -2 + 6. Let q = -0.0265689 + 0.0265689. Which is the nearest to q? (a) -3\/2 (b) d (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10025 - -571411\/57. Find the common denominator of -77\/30 and k.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*j + 28 = -136*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 divided by 18.\nAnswer: 31\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 7*x**2 - 8*x - 6. Let t be z(5). Suppose -t*o = -f - 44, -3*o + 0 = -2*f - 28. Find the third derivative of -12 + o + 2*a**5 + 7*a**2 wrt a.\nAnswer: 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2275*j**5 - j**4 - j**3 + j**2 - 1354*j + 1?\nAnswer: 136500*j**2 - 24*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 478*c**2 - 16361973 + 16361973.\nAnswer: 478*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h - 5. Let x = 14 + -27. Let c = x - -17. Suppose -c*g = -0*g + v + 20, -4*v = 16. Determine j(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7957 + 7979. Solve 5*b = x - 10, -2*x + f = -2*b + 10 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y + 0*y + 2*y + (0*y - y + 3*y)*(-1 + 0 + 3))*(y**3 - 4*y + 4*y) to m*y**2 + a*y + v*y**3 + s*y**4 + o and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*x, -22*r + 18*r = -5*x - 193. What is the lowest common multiple of r and 156?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 8:49 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -69, -67, -65, -63, -61?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-5)*f*f*f*f**(-3)\/f*f*(f**(-1\/3))**36 assuming f is positive.\nAnswer: f**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 r when three letters picked without replacement from iiiiiirrirrirrir?\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 2*s + 3. Let t be a(-2). Let r = -3 - t. Factor 2*j + j**3 - j**3 + 3*j**2 - j**2 - 2*j**3 - r.\nAnswer: -2*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + 7 + -24 - 17.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.606705 kilograms in tonnes?\nAnswer: 0.001606705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s - 4. Let y be k(-6). Let d = 15 - y. Suppose 3*a = d + 2. Solve -2*o - z - a*z + 24 = 0, -2*o - 11 = -3*z for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 802234367?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + 0.9. Let d = 1.2 + 0.5. Let p = d - 4.7. Is t less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1072\/(-335) - (-3)\/15\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k + 5*k - 5*k + (0*k + k + k)*(0 - 3 + 2) - k - k - 2*k.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -46*f - 38. Let i(s) be the first derivative of -31*s**2\/2 - 25*s + 7. Let v(r) = 7*i(r) - 5*o(r). Find the first derivative of v(a) wrt a.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 6:38 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-10)\/q)\/(q**2\/q*q))\/(q**(-3\/5))**32)**(-9) assuming q is positive.\nAnswer: q**(-279\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 958496237 + 1.\nAnswer: 958496238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.3 - 0.3. Let a = -0.3 + -2.5. Let n = 3 + a. What is the biggest value in n, -0.5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/20 and 47\/11758.\nAnswer: 117580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*m = 132, 428 = 4*b + 6*m - m. Calculate the remainder when b is divided by 33.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 105*o**4 + 42*o**3 - 105*o**2 - 60*o. Let a(b) = 30*b**4 + 12*b**3 - 30*b**2 - 17*b. Let r(c) = 18*a(c) - 5*i(c). Factor r(n).\nAnswer: 3*n*(n - 1)*(n + 1)*(5*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 206 = -2*b, -12*p = -6*b - 19*p + 10*p - 117 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1572 times -1660?\nAnswer: -2609520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -1. Let n = 2088157\/9 + -232017. Which is the nearest to -0.4? (a) n (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*o - 32*o + 11*o**2.\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*c - n, -4 = 7*c - 2*c - 4*n. Let s = 453 + -449. Let f be s\/(-10) - ((-536)\/(-160) - 5). What is the closest to c in f, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(3\/(-7))\/(54\/36)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - 0.16798?\nAnswer: -17.16798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 13*b = 18*b - 570, 0 = -3*b. Let d = -170 + y. Solve d = 27*u - 23*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13585141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -235, -434, -633, -832?\nAnswer: -1031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + -15052494245.\nAnswer: -15052494242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p + 61. Let t be g(16). What is the units digit of (t + -48)\/(-1 - 8\/(-9))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b*o**4 + 8*b*o**2 - 2*b*o + 3*b + 150*o**5 - 7906*o wrt o?\nAnswer: -12*b*o**2 + 16*b + 3000*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 31438 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**3\/3 - 595*j**2\/3 + 2401*j\/3 + 2995\/3 = 0.\nAnswer: -599, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 256 and 5456?\nAnswer: 87296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/60)\/(0 - 3\/9).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -80 (b) -4\/7 (c) -1\/11 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 5 = k, 5*k - 8*d - 445 + 392 = 0 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1287*f**2 + 3*f - 3*f - 499*f**2 - 2*f.\nAnswer: 788*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200*a**2 - 151*a**3 - 200*a**2.\nAnswer: -151*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 55 + -53. Let r be u\/4 - (-2)\/(-4). Solve r = -4*o - 5 + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 240409 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 4*i - 282 + 106 = 0, 291*s - 30*i + 33*i + 1047 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*s**3 - 44345886*s**2 + 47722561*s.\nAnswer: 12*s - 88691772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 0.06, 16, 3\/8, 3, -506?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/2 of a micrometer in nanometers?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35292278 to the nearest integer?\nAnswer: 5941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 71\/5 of a millennium?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61 (base 13) to base 15.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r - 20. Suppose 0 = -83*c + 68*c + 150. What is o(c)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 7:20 PM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -54 (b) 5\/2 (c) 11 (d) -2 (e) -4 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 7*m**2 - 8*m - 9. Let r be c(-6). Suppose -g - 4*o + 11 = 2*g, 4*g - r*o = -2. Is -14*(g - 6\/4) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -7*x**2 + 184*x + 33. What is the lowest common multiple of q(26) and 35?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i - 1. Let l(x) = -2*x**2 + 11*x - 12. Let r(o) = 6*g(o) - l(o). Let c be r(4). Calculate the highest common factor of 126 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + (3\/3 - 3). Suppose 3*s - 5*s - t = 0. What is the units digit of (-2 - s)*(-5 + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 289*x = 318*x - 116. Solve 3*t + 3 = 2*f, x*t = 5*f + 1 + 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -2 - (3\/(-2))\/((-6)\/(-56)) and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s**5 + 616*s**4 - 596*s**4 - 110*s**2 - 680 + 800 - 10*s**3 + 25*s**3 + 20*s = 0. Calculate s.\nAnswer: -2, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 75*w - 432 = 0 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of b**7\/252 - b**5\/30 - 36*b. Determine o, given that j(o) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 72, 107, 142, 177, 212?\nAnswer: 247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that w**3 + 26*w**2 + 45*w - 72 = 0.\nAnswer: -24, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 - (-4 + (-34 - 12)) - (-19 + 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 6*f + 777. Let b be o(-129). Let c(m) be the first derivative of -m**3\/3 + 2*m**2 + 2*m + 1. Determine c(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r + 3*r = -4*k + 50, 5*k + 6*r - 67 = 0 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200*r = -195*r + 60. Calculate the common denominator of -47\/48 and ((-45)\/108)\/(r\/(-171)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/36*26 - (-9)\/(-81).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 277 + -212. Suppose 433 + i = 6*f. Let x = 0 - -28. What is the remainder when f is divided by x?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4797697, 9595395, 14393093, 19190791?\n\"Answer: 4797698*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -2. Suppose 15 = z + p*z. Solve 4*l + 11 = c, -2*c + z*l = 2*c - 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 7 + 0 + -3 + 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 44*d + 14. Let i be p(2). Suppose -485*f + i = -479*f. Calculate the highest common divisor of f and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w + 31 + 50 = 0 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2731, 3800, 5581, 8074, 11279, 15196?\n\"Answer: 356*r**2 + r + 2374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 62277127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**3 + 0*s**4 + 4*s**3 - 11741 + 11549 + s + 2*s**4 as a*s**3 + l*s**4 + q*s**2 + m*s + t and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 103 - 102.815. Let y = -0.085 + g. Suppose -4*k - 45 = -217. Put y, k, -1 in descending order.\nAnswer: k, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-10) + 6467\/1885 + -8 - -3. What is the smallest value in 1, -0.02, -4, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 523696546?\nAnswer: 2, 261848273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of 4\/5*h**5 - 14\/3*h**3 - 6*h + 0 + 4*h**2 + 4\/3*h**4. Factor a(d).\nAnswer: 4*(d + 2)*(2*d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11 or 2510479?\nAnswer: 2510479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c**2 + 5*c - 6. Let t be k(1). Find the second derivative of 10*n**4 + n**2 - 9*n**t - n**2 - 13*n**3 + 2*n wrt n.\nAnswer: 12*n**2 - 78*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4*w - 3596 = 6*w, -4*w = 5*n - 8981. Suppose -n = 2*m - 687. Let v be 96\/m + (-1)\/(-5). Is 1 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -579 <= -579?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -74, -111, -124, -113?\n\"Answer: 12*w**2 - 73*w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 3316635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -275*p + 1168*p + 1626*p + 1 - 3.\nAnswer: 2519*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 3 = 0, -l + 4*l = 3*p + 12 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 8 = 11. Let j be (-1)\/z + (-15)\/(-9). Suppose -7*m + 285 = -j*m. Is 13 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-120)\/(-96))\/((-2)\/(-8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 23 - 8 = -3*s, 5*m + 25 = 0. Suppose 3*d - 2081808 = s*d. Suppose -d - 358192 = 4*h. What is h rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40937 by 871.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*a + 3*d - 284 = 0, 2*d = 5*a - 294. Let h = -95 - a. Calculate the remainder when (2\/6)\/((-3)\/h) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 1 - 3)*(-6 + 3 + 1 - a) to the form u + s*a and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 7*h. Let y(f) be the third derivative of 31*f**5\/60 + 2*f**2 + f. What is y(a(r))?\nAnswer: 1519*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (1 - -2) - ((-19 - -58) + -37)) + -48\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 215, 225, 247, 281, 327, 385?\n\"Answer: 6*w**2 - 8*w + 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 0.32?\nAnswer: 0.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6763431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -10*q**3 - 13*q**3 + 15*q**2 + 50*q + 44*q**3 - 5*q**3 - 15*q**3. Calculate z(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 + -0.6. Let g = 0.085166 + 0.2148324. Let y = t + g. What is y rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*t**2 - 34492*t + 1 + 1 - t**3 + 34475*t in the form h*t**2 + u*t + l*t**3 + s and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 4. Suppose y - 2*y**3 + f*y + y**2 + y - 3*y**2 + 2 = 0. What is y?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42 + -28. What is the lowest common multiple of o and 184\/10 + (-4)\/10?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkykddlbdddydbbkklu. Give prob of picking 1 b and 1 u.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 714207?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 79 - 136 - 7*f**2 + 19*f**2 + 79 + 58*f**2 to q*f + d + v*f**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1508 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30.52 + 1.22. Let k = i + -31. What is k rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3\/19157 - -1130215\/306512. What is the common denominator of (-1)\/2 - (-130)\/32 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 3, 7, -1, -3\/35?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30237847 + 30237847 - 22*x + 6*x.\nAnswer: -16*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1aa0b5a (base 13) to base 6.\nAnswer: -513111015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 18526256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from otoooooohhhoootah. What is prob of sequence ha?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 794*j**3 - 7*j**2 - 12*j + 15. Is m(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 48*k - 46. Let r be f(-23). Put 2, 4, r in ascending order.\nAnswer: 2, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + 12132.7249.\nAnswer: 12135.7249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - 49842.34\nAnswer: -49842.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u - 5. Let n be c(-8). Suppose -465996 = 5*v - n*v + m, 3*m - 932012 = 4*v. What is v rounded to the nearest ten thousand?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 327307499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.8 + 2. Let q = -2353\/24 + 98. Let l = -53\/120 - q. Which is the closest to -2\/5? (a) j (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 420a67?\nAnswer: -420a6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(64) - sqrt(4)) + (sqrt(15)\/sqrt(3))**2*-6.\nAnswer: -30 + sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1484 and 2332?\nAnswer: 16324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1223752 by -1.\nAnswer: -1223752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 1 + 6 = -31*w - 3, 2*w + 3 = -4*c - 17 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 47577885 + -0.144.\nAnswer: 47577884.856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184222214?\nAnswer: 2, 11, 19, 440723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 6*h - 5*h - 110, -4*w + h = -97. Let s be 0 + 1 + 0 + 183. What is the highest common factor of w and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kdkddnkdnkdd. What is prob of picking 1 k and 2 d?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 7*z**2 + 2*z - 12. Let i be k(7). Find the third derivative of -2*m**i - 2*m**2 - 7*m**2 - 3*m**3 + 2*m**2 wrt m.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2778*d**2*h**2 + 2*d**2*h + 2*d*h**2 - 7488*h**2 - 2 wrt d?\nAnswer: -5556*d*h**2 + 4*d*h + 2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 + (-5 - -31) - 18 - 9?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9 + -9 - ((-15)\/(-9))\/((-8)\/24). What is the smallest value in -2, 32, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o - 405 = -12*o. Suppose 0 = -13*z + o*z - 830. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of n**6\/150 + 2*n**5\/75 + n**4\/30 + 9*n**2. Factor k(h).\nAnswer: 4*h*(h + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*k - 101 - 822 + 113 = -433*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/5*(5 - 125\/15). Let k = 1 + 2. Solve -k*b - 4*u + 8 = -5*b, a = -b - u for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*q = -215*q + 156 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(1377) - (-4*(sqrt(1377) + -1) + sqrt(1377)))*4)**2.\nAnswer: -352768 + 4608*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 11*f**2 + 5*f - 36. Give x(-12).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1509545.\nAnswer: 5, 31, 9739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-878)\/14630 + (-7053)\/(-181027)\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*((l\/(l**(-2)\/l))\/l)\/l)**(-42)*l**8*l**9)\/(l**(4\/3)\/(l**(-1\/14)\/l*l)*(l*(l**0\/l)\/l*l)\/((l*l**(-3)*l*l)\/l)) assuming l is positive.\nAnswer: l**(-4679\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1046.\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 + 47. Suppose -4*c = 4*l - 2*l - t, -c + 4*l + 23 = 0. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 5*p = -4188. Solve -7*m - p + 342 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 378442 is divided by 388?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -22. Let a(n) = n + 3. Let i be a(d). Suppose -4*w = -5*w + 5. Solve -b + w = -i*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100331 (base 4) to base 9.\nAnswer: -7086","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-220)*((-16)\/68)\/((-6)\/85)\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 895 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39632095?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1379188, -4, -1, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -22653 and -22652 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*m**2 + 16*m + 21*m + 55*m - 22*m**2.\nAnswer: -4*m*(m - 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uzczgzgzzg. What is prob of picking 1 g and 1 z?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 791 is divided by 755?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5048918868 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*t**2 - 22*t**2 + 20*t**2 + 981 - 33*t**2 + 19*t**2 to the form k*t + d + m*t**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 618 - 594. Let d(x) = -23 - 3*x - t + 97 - 19 - 24. What is d(-5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 123 or -143?\nAnswer: -143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 551.3 + 118.7. Let d = 670 - q. Which is the biggest value? (a) -0.4 (b) d (c) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 2:03 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48021 + -45326. What is the smallest common multiple of i and 3080?\nAnswer: 21560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 40 and -18815872637.7.\nAnswer: -18815872597.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 783 + -751. Solve 0 = 4*x - 5*o - 5, -5*o + o + c = 4*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-4)*4\/3. Suppose -61 = 3*k - 49. Sort k, i, 1.\nAnswer: k, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by -59?\nAnswer: 21\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -15*b - 33. Let k be c(-4). Let x(t) = k*t - 59*t + t**2 + 32*t. Let h(l) = 74*l + 2. Determine x(h(o)).\nAnswer: 5476*o**2 + 296*o + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -3.1. Let m = 4.73 - 5.23. Which is the nearest to 3\/7? (a) f (b) -2\/7 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (297*v**3 - 2854*v + 2854*v)*(5 - 2*v**2 - 5) + (2 + 3 - 6 - 2*v**2)*(-1 + 1 - 2*v**3) + 4*v - 4*v - v**5.\nAnswer: -591*v**5 + 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -14359, -14208, -13955, -13600, -13143, -12584, -11923?\n\"Answer: 51*b**2 - 2*b - 14408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - r + 3*a + 662169, -r + a - 220729 = 0. Find the common denominator of 99\/10 and (-11557)\/r + 2\/11.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*d**6*v**2 - 21*d**4*v**3 + 81*d**2*v**3 - 2*d**2*v**2 wrt d?\nAnswer: 3360*d**3*v**2 - 504*d*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1.982 times 10.33\nAnswer: 20.47406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3741920 divided by 20\nAnswer: -187096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rn when two letters picked without replacement from {n: 2, g: 1, b: 2, d: 2, r: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5125 + -5126. Which is the nearest to j? (a) -0.2 (b) 2 (c) -0.7 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -414*w**3 - 10675*w**2 - 24413364 wrt w?\nAnswer: -1242*w**2 - 21350*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 10 = -5*u. Let j = -11 - -8. Let p be ((-1)\/j)\/((-4)\/6). Which is the nearest to 2\/7? (a) p (b) u (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**2 - 6*b**2 + b**3 + 3*b**2 + 4*b + b**2.\nAnswer: b**3 - 2*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(275)*1 + sqrt(176) + (sqrt(176) + (sqrt(176) - (sqrt(176) + -1)**2) - sqrt(176)).\nAnswer: -177 + 21*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4\/4 - 94*o**3 - 3451*o**2\/4 - 2695*o\/2.\nAnswer: o*(o - 385)*(o + 2)*(o + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/19 (b) 0 (c) 0.3 (d) 4739704 (e) -0.1 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3*q - 17, -6 + 3 = -2*b + 5*q. Let f(p) = -p + 6. Let s be f(b). Find the third derivative of 2*i**6 + i**6 + 3*i**s - 3*i**3 + 3*i**3 wrt i.\nAnswer: 360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.8 (b) -3 (c) -2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 18 + 204 = 0. Let p = -65 + z. What is the remainder when 642 is divided by p?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5519\/3 + -1838. Let 5\/3*f + 5\/3*f**2 - 5\/3 - o*f**3 = 0. Calculate f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42592?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 751*x**2 + 985*x**2 - 1749*x**2.\nAnswer: -13*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 22919, 3\/5 in descending order.\nAnswer: 22919, 3\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17299 + -17312.38. What is u rounded to zero dps?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/721 and 157\/60816?\nAnswer: 6264048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/4)\/p)**15\/(p\/(p*p*p**(-2\/7)*p)*p*p*p)**(4\/5))\/(p**(-1)\/(p*p*p**(2\/21))*p*p**1*p*p*(p\/p**(2\/7))\/p*p*p) assuming p is positive.\nAnswer: p**(-6257\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -363, -410, -503, -660, -899, -1238?\nAnswer: -1695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3135 plus -0.055?\nAnswer: 3134.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 63577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 9:30 PM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/(-810))\/((-6)\/9).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18376749, 18376748, 18376747, 18376746, 18376745, 18376744?\nAnswer: 18376743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 307, 12\/13, 3\/8, 13?\nAnswer: 307","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-3 - -2) + 5 + (3 - -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52 - 38. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-4))\/((-6)\/24). Let l(k) = -1 + 2 + 2 - z. Let a(o) = o + 3. Let x(m) = -a(m) + 3*l(m). Let n(t) = 3*t**2. Give x(n(u)).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -71 + 231. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*g**5\/9 + 1696*g**4 + 19592*g**3\/9 - 1212*g**2 - 19606*g\/9 - 484 = 0. Calculate g.\nAnswer: -1089, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8 + -2)\/(184\/160 + -1). Suppose v = 46*t - 26*t. Solve 0 = -0*j + j - t*l + 11, -3*l = -5*j - 27 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -309368?\nAnswer: -123747.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 0 (b) 2\/17 (c) -5 (d) -9 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 10:45 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -l - 0*l. Let d = -2 + l. Let p = 2\/339 + -347\/1356. Is d at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -3. Suppose q = -3*y + 2*x + 50, 3*x - 22 = -y - 9. Suppose -5*s = -3*s - y. Solve -5*u - 4*o = -2*o + 2, -2*u = -o + s for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10 + -14)*(-2421)\/(-4). Let f = y - -3827. Suppose 4*d - f = -138. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5\/7 + -47\/56. Let w = 1018 + -1017.6. Which is the closest to 0.4? (a) -5 (b) o (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**2*d**1)\/(d**0*d**(-2\/5))*(d**(-2\/7)\/d**5)\/(d**(3\/7)\/d**2) assuming d is positive.\nAnswer: d**(-11\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 6. Suppose 16 = 2*u - t. Suppose -z = 4*z + 4*l - u, 3*l = -3*z + 3. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 332*w**2. Let i(t) = 6*t**2. Determine y(i(r)).\nAnswer: 11952*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2*w - 127, 488 + 32 = 4*k - 5*w. Let h = -1083\/8 + k. Let t = 3 + -3.2. Which is the closest to -2\/7? (a) t (b) h (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c**(1\/4)*c*c*c))\/c*c*c*c*c\/c**(-1\/3)*c)\/(c**(-6\/7)\/((c**(-3\/2)*c)\/c)))\/((c**(-1))**(-2\/51)\/(c**(-1\/4)*c)**4) assuming c is positive.\nAnswer: c**(2095\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of p**6 - 13*p**3\/2 - 41*p. Find the second derivative of l(z) wrt z.\nAnswer: 360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -100002572*y - 1625*y**3 - 8*y**2 + y**4 + 100002685*y + 0 - 2 wrt y.\nAnswer: 24*y - 9750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.59 - -1.19. What is the closest to -0.6 in 1\/3, t, -5, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174739798 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26031?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 305742 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4*k**2 - 1529*k - 28829. What is f(-18)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -2*o**6\/75 - o**5\/30 + o**4\/20 - 143*o**2. Factor s(z).\nAnswer: -2*z*(z + 1)*(8*z - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2054 - 2028. What is the highest common factor of 21 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3425319841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 11*t**2 - 11*t - 3. Let f be k(-8). Let q = 205 + f. Suppose -14*j = -15*j + q. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*y - 158 - 129. Let b(i) = 10*i + 13. Let a(q) = -7*q - 4. Let c(h) = -8*h - 4. Let f(l) = -5*a(l) + 4*c(l). What is y*f(r) - 2*b(r)?\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 4*k + k - 35, -5*r = -25 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -3*h - 20 - 88, -5*x + 95 = 5*h. Solve 2*i - 29 + 15 = z, x = 3*i for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 232.7663 centuries?\nAnswer: 23276.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1714 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 140800 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (3519\/18768 - (-227)\/(-16))*24\/(-7)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1427 + 40080. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p - 6. Let f be a(7). Suppose f*d - 3*d = 175. Calculate the greatest common factor of d and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**6*r)*r**3)\/(r*r\/r**(-1))**(2\/3)*(r*(r*r**(-1)\/r*r)\/r)\/(((r*r*r\/r**(3\/4))\/r)\/r)*r**(-2\/11)\/r**(-6) assuming r is positive.\nAnswer: r**(25\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 52\/14 + 6\/21. Is -266*2\/w*-1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355443163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1 + sqrt(1300) - sqrt(1300)) + 5)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a year in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b, 4*i = -7*b + 2*b + 108. Suppose -4*l + o = -64, 2*l - 3*o + 2 - 14 = 0. What is the smallest common multiple of i and l?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1\/2, 18\/19, -3\/77?\nAnswer: -3\/77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22140 + -3227. List the prime factors of g.\nAnswer: 18913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2301 (base 4) in base 5?\nAnswer: -1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 11 = -4*w, 53 = -4*w - v + 68 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*d. Suppose d = 2*g - 2*o - 154, -4*o = -g - 0*o + 77. Suppose 0 = w - 44 - g. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49351170 and 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 125, 320, 645, 1130, 1805?\nAnswer: 2700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c - 5*c - 2*c - 10*c to z*c + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 10*x**2 + 29*x + 362. Suppose 394 = -2*r + 4*r. Calculate the remainder when r is divided by v(-9).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/7))**12*z\/(z*z*((z**(-2)\/z)\/z)\/z*z)*z*(z**29*z)\/z*z)**(1\/41) assuming z is positive.\nAnswer: z**(262\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-4)*-2*85\/(-51).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + k. Let j(n) = -2*n**3 + 4*n**2 + 4*n + 6. Let z(y) = -6*a(y) + j(y). Let o(f) = f**3. Let t(x) = 5*o(x) - z(x). What is t(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1399 - -1230)*7\/91?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63 + -125\/2. Which is the second smallest value? (a) l (b) -1\/4 (c) 5 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 + -0.17097.\nAnswer: 6.82903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -11034*i**2 - 22*i + 2. Let h(z) = -7*z**2. Determine s(h(t)).\nAnswer: -540666*t**4 + 154*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -1\/2*v**5 + 0*v + 1\/210*v**7 + 1\/2*v**3 - 158*v**2 + 1\/12*v**4 + 0*v**6 + 0. What is the second derivative of m(t) wrt t?\nAnswer: 12*t**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.6871um to millimeters.\nAnswer: 0.0996871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 315 = 5*v, -2*v = v + 2*a + 185. Let j = v - -102. Suppose -j = -7*n + 5. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/(-2)*-1)\/((-54)\/(2700\/(-50))).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u - 3*u + 21. Let h = u + -11. Let i = 3\/7 + 1\/14. Which is the nearest to 2? (a) 0 (b) i (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*h. Let w be (0 + -1 + h)*-5. Solve w*d - z + 0*z = 21, -3 = -2*d - 5*z for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 164 + -161. Let d(h) be the third derivative of -h**6\/120 + h**5\/30 - h**4\/6 - h**3 + 10*h**2. Let m(g) = g**2 - 3*g - 5. Determine n*d(p) - 4*m(p).\nAnswer: -3*p**3 + 2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 366, 600, 654, 504, 126, -504, -1410?\n\"Answer: -4*w**3 - 66*w**2 + 460*w - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16991, -61428, -135491, -239180, -372495, -535436?\nAnswer: -728003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 + 5*k + k + 9*k**2 + k**2 - k.\nAnswer: 5*k*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1271, 1265, 1273, 1301, 1355, 1441?\n\"Answer: y**3 + y**2 - 16*y + 1285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 96137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a century in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -13. Does 9 divide d\/15 - (-73)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/5368 and -47\/22.\nAnswer: 5368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 7 + 28)*(-6 + 6 + 10*s)*(0 + 2 - 3) to q*s + g and give q.\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l + 42757*l**2 - 6367*l**3 + 205 + 314 - 42754*l**2 wrt l?\nAnswer: -38202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(9\/(-6)*1). Factor 6*i**4 - 10*i**3 - 2*i**5 + 2*i**4 + 2*i**2 + s*i**2.\nAnswer: -2*i**2*(i - 2)*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 + -7. Let n = 23 - p. Suppose -4*s + 2*q + 194 = 0, -3*s + s - n*q = -85. Does 16 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/63*(-210)\/280.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 10*f + 2. Let o be l(10). Suppose -2*k - 2*k - 24 = 0. Is 13 a factor of 13\/o*(12 + k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/8 of a week?\nAnswer: 147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 10*o**2 + 17*o + 8. Let f be d(-8). Let k = -13 + f. Let j = k + 15. Solve -4*t + 7 = j*y - 5*y, -4*t - 8 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 8:27 PM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**4\/13 - 64*o**3\/13 + 418*o**2\/13 + 484*o\/13 = 0. What is o?\nAnswer: -1, 0, 11, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y*y**15)*(y\/(y*y*y\/(y\/(y\/(y*y**(-1))*y))*y))\/y)**(-2\/35) assuming y is positive.\nAnswer: y**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 50*w**2 + 573*w + 97. Give t(32).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (-1152)\/80 + (-84)\/90*-39?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fwfkfwkfmw. Give prob of sequence wkmm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -12a0 (base 11) in base 3?\nAnswer: -2022100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 - 1)*(-2*l - l + l)*(3*l - 6 + 6) in the form x + h*l + v*l**2 and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -262\/5 + 53. Let p be (-14)\/77 + (2 - (-147)\/(-99)). Let t = -3 - -2.8. What is the nearest to t in m, 2\/15, p?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.5 times -0.029?\nAnswer: -0.3335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 10441*r + 43. Let h(a) = 2*a + 94. Let u(f) = -5*h(f) + n(f). Let z(w) = 122*w - 5. Give -5*u(y) + 427*z(y).\nAnswer: -61*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -61*n - 106*n + 43*n - 1 + 14. What is the units digit of t(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 168\/(-77) - (-1 + 27\/33). Suppose -4*a + 2*i + 110 = 0, -5*i = 5*a - 107 - 8. Is (6*1 + m)*195\/a a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3 + z**3 + 4 + 10*z**2 - 1 - 5 + 7*z. Give s(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*m + 72 = 7*c + 150*m, 2*c - 3*m - 28 = 0 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 170331241?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -t**6\/15 - 4*t**5\/25 + 2*t**4 - 16*t**3\/5 - 133. Factor u(o).\nAnswer: -2*o**2*(o - 2)**2*(o + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 8*i. Let s be z(-7). Suppose s*l**3 - 3 - l**3 + 12*l**2 + 0*l**2 - 4*l**4 - 6*l**5 - 5*l**4 = 0. What is l?\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6*1*(-1)\/3. Suppose 3*j - 18 = 3*q, j = -w*q - 0*q. Let y(h) = h**3 - 3*h**2 - 5*h + 3. Let k be y(j). Are -1 and k nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2 = -0*g, -3*g + 20 = w. Calculate the remainder when 83 is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pty when three letters picked without replacement from {t: 2, i: 7, r: 1, p: 6, y: 3}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10785 divided by 3.\nAnswer: -3595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 0. Let y be (-58)\/(-5) - 6\/(-15). Solve 2*b - y + j = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 660, 1410, 2162, 2916, 3672?\n\"Answer: x**2 + 747*x - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -43708273*d. Let b(h) = 37*h. Determine b(u(w)).\nAnswer: -1617206101*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6, -8, 4, 10, 2.\nAnswer: -8, 2, 3, 4, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -8*u. Let j(l) be the third derivative of 5*l**4\/24 - 2*l**3\/3 + 4*l**2. Let v(a) = -a + 1. Let z(r) = -j(r) - 4*v(r). Calculate z(h(n)).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*v - 60*v + 15*v + 16*v.\nAnswer: -13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 80*h**2 - h + 6. Let v be d(3). Let a = 29867\/42 - v. Let r = a - -31\/14. Find the common denominator of -73\/30 and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of g**3\/3 + 23*g**2\/2 + 142*g. What is j(-13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4136 - -0.4. What is t rounded to 3 decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173736 is divided by 87?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.5 - -3.5. What is the second smallest value in r, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 877732.7nm to millimeters.\nAnswer: 0.8777327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 15 = 81. Suppose 0 = -r*m + 22*m. Solve -2*q + m*q = 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6805 bigger than 6804?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 519053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 47*m**2 - 13 + 13 to the form z*m + u + p*m**2 and give p.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -857 - -1233. Which is smaller: 378 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(171) + -3 + sqrt(171) - sqrt(171))*-1 - -4*(1*(-3*sqrt(171) + sqrt(171) - sqrt(171)) + sqrt(171)))*5)**2.\nAnswer: -10800*sqrt(19) + 347875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -119 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 20615178 to the nearest one million.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -427*g**2 + 627*g**2 + 299*g**2 + 466*g**2 as z + v*g**2 + c*g and give v.\nAnswer: 965","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2707029510 and 0.3211.\nAnswer: 2707029510.3211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23169 is divided by 3633?\nAnswer: 1371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of y**9\/1512 + y**5\/120 + y**3 + 2. Let k(f) be the third derivative of o(f). What is the second derivative of k(s) wrt s?\nAnswer: 40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9667293 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 947, 948, 949, 950?\n\"Answer: b + 946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57 and 16055.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o - 3. Let r be a(-3). Suppose r*h = 2*h - 9. What are the prime factors of 104\/3 - (-6)\/h?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 3*z + 6, -3*x - x - 20 = z. Let p be -1 - (-9)\/x - -3. Which is the nearest to -1? (a) -2 (b) p (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2635 and 340.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4333730 + 4333513.9693. Let b = -0.805 - 215.195. Let h = u - b. Round h to 3 decimal places.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -94 - -52. Let t = u - -58. What is the remainder when t is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 189311016 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4415*s - 17624. Determine g(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9729492629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 34, -34, -190, -464, -886, -1486, -2294?\nAnswer: -3340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2916769 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -31?\nAnswer: -5\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 4*j + 3*x = 0, 4*j + x - 11 = 0. Suppose -5*u = -j*f - 289, 4*f + 4*u = f - 244. Which is smaller: f or -349\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-156)\/18*(-3)\/2. Let f be 1 + -3 - (0 - v). Solve 14 = -5*i - f for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**4\/6 - 113*l**3\/3 - 6602*l**2\/3 - 8029*l + 20535\/2 = 0.\nAnswer: -111, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42633?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2*p**3 - 3982*p**2 - 52240*p + 272544 = 0.\nAnswer: -17, 4, 2004","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.125, -7, -3, -0.3 in decreasing order.\nAnswer: -0.125, -0.3, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 387876529 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.690839um in kilometers?\nAnswer: 0.000000003690839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13269 - 13682 = 896*g + 17111 + 4322 for g.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*((a\/(a*(a\/a**(1\/15))\/a))\/a)\/a)\/a)**(2\/37)\/((a\/a**(-1\/32)*a*a)\/(a\/(a\/a**(-2)))) assuming a is positive.\nAnswer: a**(-91211\/17760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.009 + 0.091. Let y = 15.1 - k. Which is the second smallest value? (a) -3 (b) 4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 + 40. Suppose -1764 = -7*c - 203. What is the remainder when c is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -72009.2 + 72010. Suppose -2*u - 4 = -0*u. Which is the closest to u? (a) -2\/3 (b) -0.4 (c) 0 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 118 + -108. Solve 0 = -3*i - 5*o - 14, o + b + 3 = -4*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 514408176?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 400 and 103750.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 80 and 32775?\nAnswer: 2622000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -8 (c) -1 (d) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266*d + 4*d**3 + 266*d + 230*d + 260*d - 1022*d.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 6*k**2 + 3*k. Let z(h) = h - 5595. What is u(z(f))?\nAnswer: 6*f**2 - 67137*f + 187807365","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -59?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003890166 to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -393 + 360.3. Let n = j - -33. Is 4 > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ko when two letters picked without replacement from {k: 1, o: 1, g: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -126 - -1834?\nAnswer: 1708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 59471 divided by -1\nAnswer: -59471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2667*g**4*r**3 + 1415*g**4*r + 2*g**2 + 2350695*r**3 wrt g.\nAnswer: 64008*g*r**3 + 33960*g*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 18, 77, 1\/4, 0.42, 4, 2\/23, 12?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1108269 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c + 0*c - 22 - c**3 - c + 19*c + 12*c**2. Let z = 115 - 102. Let k be s(z). What is the highest common factor of 45 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from azmdmgmadazadm. Give prob of sequence gdz.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31 by -55.\nAnswer: 31\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120192 and 10196288?\nAnswer: 61177728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -1520*x + 7557. Determine w(5).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 4468022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-57 - -11) + 540\/8.\nAnswer: 43\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6024 and 78188508?\nAnswer: 3012","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p**3 + 5*p**2 + p + 1. Let d be l(-2). Is (-1777)\/(-2)*(-26)\/d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 10 - 6*z + 3*z - 12. Give h(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -187 divided by 8.\nAnswer: -187\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 * 3.9\nAnswer: 0.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -9612 (base 10) to base 3\nAnswer: -111012000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 3*o - 4*z, 0 = o - 4*z + 3 - 33. Let c = o - -6. Calculate the remainder when c is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**2 + c**2 - 5*c**2 - 1 - 734*c - c**2.\nAnswer: -c**2 - 734*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 8:30 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14.96 + -0.96. Which is the biggest value? (a) t (b) 2\/15 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (18\/(-8))\/((-27)\/7056).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10681, 21361, 32045, 42733?\n\"Answer: 2*f**2 + 10674*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -274.\nAnswer: 27.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -11*i**2 - 207*i + 23199. Let q(g) = -5*g**2 - 92*g + 11599. Calculate 9*q(j) - 4*u(j).\nAnswer: -j**2 + 11595","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of q**5\/20 + 5*q**4\/12 + q**3\/6 - 2*q**2 + 16*q - 2. Let m(s) be the first derivative of v(s). Determine m(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmcaawcrwuwc. What is prob of sequence uaa?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 16. Let t(a) = a**3 - 7*a**2 - a + 10. Let k be t(g). Let f(w) = 168 - 168 + 6*w**k. Determine f(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m + 3*a + 73 = 0, 33*m - 30*m + 8*a + 238 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5111, -10221, -15331, -20441?\n\"Answer: -5110*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/75)\/(1*(-3)\/15).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -52156*w + 782346. Determine v(15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*s - 4533 + 1175. What is the biggest value in 5, 0.9, s?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -704 or -705?\nAnswer: -705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 4*v + 2. Let y be h(-4). Suppose f + y*f - 3*z - 426 = 0, 5*z = -20. Suppose -t = 2*t - f. Solve -i + o = 7, 3*o - t + 17 = 5*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 3*i + 15, w + 3*i - 4 - 8 = 0. Let t = 2660 - 2655. Solve -w*j = -t*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**3*v**(13\/4)*(v*(v*v\/(v\/((v**(-1\/11)*v)\/v)))\/v)\/v**(1\/3) assuming v is positive.\nAnswer: v**(901\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 12 + 3 = -5*l, -3*p + 12 = -4*l. Let w(v) = v**3 + 2*v**2 + 2*v + 230. What is the units digit of w(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1596739.\nAnswer: 1596739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.411414ng?\nAnswer: 0.000000411414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 greater than 31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((((sqrt(112) + 1)*-5 - sqrt(112)) + 5)*-3)**2 + 5.\nAnswer: 36294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, 31, -13282?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 1:15 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -2*r + 3425 + 459, 3*r = 3*s - 2913. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 4 + 0)*(-4*k + 3*k + 2*k) - k + 0 + 0)*(-1 + 1 - k)*(2*k**2 + 0 + 0).\nAnswer: 16*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w + 2. Let y be h(0). Suppose 2*r = -4*i + 84, y*i = 2*r - 0*i - 78. Calculate the greatest common divisor of 60 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23.4 - -21. Let m = 2.3 + q. Put 2, m, 2\/5 in decreasing order.\nAnswer: 2, 2\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 575769847 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n**2 - 112*n**2 - 67*n**2)*(11029*n + 119*n**2 - 11029*n) in the form q*n + i*n**3 + x*n**2 + g*n**4 + s and give g.\nAnswer: -21539","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248450.\nAnswer: 2, 5, 4969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3398 is divided by 3137?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 6 + 1)*(41 - 21 - 263*t - 20) as y*t + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1214, 1224, 1236, 1250, 1266, 1284, 1304?\nAnswer: 1326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -290 + 290 + 2388*u**3 - 4768*u**3 + 2383*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 12 - 4 = 0. Suppose 2*m = -i*m + 36. Is 13 a factor of 2413\/95 + m\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.02713 millennia to decades.\nAnswer: 4902.713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 <= -196518915?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t. Let v(w) = -8*w**2 - 12*w + 8. Calculate v(d(u)).\nAnswer: -8*u**2 - 12*u + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001408736 rounded to 7 decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 648 and 324?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -1.7, -4, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1270779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2639448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 12*u - 2. Let i be 5\/10 - (-46)\/4. Let g be n(i). Is -4\/3 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/3 - 2 - (-9)\/2. What is the third biggest value in -3, w, -2, -0.06?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 5*w + 2. Let b(v) = 2*v**3. Let q be b(1). Suppose -4*m + 18 = -q. Is 8 a factor of z(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 16*p - 194 - 235 = 0. Let a(u) = 25*u - 7. Let v(j) = 4*j - 1. Calculate p*v(x) - 6*a(x).\nAnswer: 6*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11336 and 562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**12)\/u)**(-1\/14)*(u**(5\/6)\/u)\/u**(14\/3) assuming u is positive.\nAnswer: u**(-239\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -30*z**3 + 12*z**2 + 20*z - 3. What is the least common multiple of 980 and m(-2)?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 11652*i + 116515. Give o(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -13336*p**2. Let g(k) = 11*k. Determine g(h(d)).\nAnswer: -146696*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/154258925 and 113\/14.\nAnswer: 2159624950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 10 = 0, 4*q + 5*l - 12 = l. Differentiate -q + 7*f**2 + 3 - 3 with respect to f.\nAnswer: 14*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3830408582 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 60830 (base 9) in base 5?\nAnswer: 2240131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-914)\/(-6)*(-9495)\/(-211).\nAnswer: 3, 5, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-9)\/(d*d\/d**(-3)))**(2\/47) assuming d is positive.\nAnswer: d**(-28\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 10196?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 6*z**3 - 10. Let i(y) = 88*y**2 - 177*y**2 + 3 - y**3 - y**3 + 89*y**2. Calculate -6*h(r) - 20*i(r).\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19967748\/13 or -1535982?\nAnswer: -19967748\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, s: 2, y: 4, l: 3}. What is prob of picking 1 u, 1 y, and 1 s?\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 176 divided by 22.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -10*v**2 - 2*v - 4. Let f be u(-4). Let i be 3\/(f\/(-76) - 2). Let l = -25 + i. Calculate the highest common divisor of l and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/207 + 476\/6417. Let j = 24 + -25. Is n != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3974 and 3.\nAnswer: 1.1922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 2, 4*o + 628 = 2*q. What are the prime factors of q?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(((j**(-1)\/j)\/j*j)\/j)))\/(j*j**(-1\/10)))**(-4\/5)\/((j\/(j*j**8)*j)\/j**12)**(46\/5) assuming j is positive.\nAnswer: j**(4448\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 243038 and 1093671?\nAnswer: 2187342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 941.6998 millilitres in litres?\nAnswer: 0.9416998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-264)\/72 - 376\/(-24)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -1004*a**2 - 52*a + 16. Let z(k) = -60*k**2 - 3*k + 1. Give -3*i(w) + 52*z(w).\nAnswer: -108*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 0*j**2 - j**2 + 68*j - 74*j - 7. What is p(-7)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -10*g**4 + 23*g**3 - 69*g**2 + 63*g. Let r(s) = -6*s**4 + 12*s**3 - 34*s**2 + 32*s. Let f(a) = 4*k(a) - 7*r(a). Factor f(b).\nAnswer: 2*b*(b - 2)*(b - 1)*(b + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 214698213 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -253 - -253.886. Round t to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2100122 - -2012122202?\nAnswer: 2010022010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - (-3)\/(-6)*6. List the prime factors of -1 - j - (3 - 15).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 244990228.\nAnswer: 2694892508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 66086989?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 12:59 PM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34745 + 97588 = 5*k - 3*h, -9*h = -5*k + 62849. List the prime factors of k.\nAnswer: 2, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -14*d + 32. Suppose d*s - 144 = -2*s. What is the smallest common multiple of s and 68?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 875.958 - 837. Let v = 0.042 + c. Let k = 39 - v. Is -3 greater than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50.069382 + -0.042382. Let l = -50 + q. What is l rounded to three decimal places?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 2*b + 1. Let g(l) = -l**2 - 6*l**2 - 1 + 4 + 3*l**2 - 7*l. Calculate 2*g(q) - 7*v(q).\nAnswer: -q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 15, 2.\nAnswer: 2, 10, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/11 (b) 0.03 (c) 36\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29.00000044 + 29. Round u to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -511.001473 - -511. What is z rounded to five dps?\nAnswer: -0.00147","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.034 + 2.666. Let q = c - 2.7. Which is bigger: q or 0.88?\nAnswer: 0.88","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.28948 times -3034?\nAnswer: 878.28232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4101 is divided by 79?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -1 - (3 + (0 - 4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/3 (b) -1\/36 (c) -0.4 (d) -86\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 81465.1\nAnswer: -81465.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 18*z + 8. Let g(k) = -16*k**2 + 53*k + 50. Let p be g(-1). Give s(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 514 + 3?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 271*g - 1908. Determine f(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2*(-5)\/(-20)*382?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h - 7. Calculate u(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x**2 + 12*x + 11. Let p(w) = 3*w**2 + 11*w + 10. Let g(f) = 2*o(f) - 3*p(f). Calculate g(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 14 + 3 - 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 36495.2 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wgygcsspy. Give prob of picking 1 c, 2 s, and 1 y.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2015120213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 4:49 AM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2 + 11*u + 12. Let d be w(-6). Let r be (96\/d)\/((-4)\/(-6)). Is (3\/(12\/(-2294)))\/((-4)\/r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102 divided by 7\nAnswer: -102\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of n**3\/3 + 6*n**2 - 7*n. Let y be m(-5). Find the third derivative of 12*a**y - 10*a**5 + 2*a**3 - 2*a**3 wrt a.\nAnswer: -600*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -887*a - 20058 - 11874 = 0 for a.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105799566 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + (-23)\/((-230)\/(-20))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6147320 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**2 + 7445*v - 22290 = 0.\nAnswer: 3, 1486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 12 - 10 - (-15)\/(-6)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45*s**5 - 2*s**3 - 4797*s**2 + 55794703*s.\nAnswer: 900*s**3 - 12*s - 9594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 56960.95489 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 12:36 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 + 990*c - 7175.\nAnswer: 5*(c - 7)*(c + 205)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 557*v**2. Let j(x) = -5*x + 4. What is b(j(u))?\nAnswer: 13925*u**2 - 22280*u + 8912","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -588*l = -616*l - 112. Let w = 0.18 + -0.38. Which is the nearest to -2? (a) w (b) l (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 - 2)*(1 + 1 + 2)*(-2 + 0 + 0)*(0 + 0 - 3*f) to the form c*f + u and give c.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of r**5\/60 + 5*r**4\/12 + 25*r**3\/6 + 1691*r**2. Factor i(m).\nAnswer: (m + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3 - 140*h**2 + 500*h - 480.\nAnswer: 5*(h - 24)*(h - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in -4\/9, 4\/7, 5?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7658 and 9919?\nAnswer: 10851386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 293370588 divided by 32596732\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 5, 2\/5, 61, -8 in ascending order.\nAnswer: -8, -2\/9, 2\/5, 5, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/3 and 61\/80836.\nAnswer: 242508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354 is divided by 37?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -99 + 144. Let k be (-4 + 2)*(-5 - 0). Let m be 16\/k*15\/6. Solve a = -4*a + 5*b + s, m*a - 5*b = 41 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(176) + 1 - sqrt(176))**2 + -5 + 1*sqrt(176) + -5.\nAnswer: -10 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + p = -4*j - 70, 0 = -4*p + 5*j + 247. Suppose -5*f - m + p = m, f + 5*m = 7. Calculate the remainder when 22 is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 112*n - 1113. Calculate o(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30299*r**2 + 2*r**3 + 115 + 30299*r**2.\nAnswer: 2*r**3 + 115","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -461271*i. Let u(s) = 5*s. Calculate m(u(l)).\nAnswer: -2306355*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 2:40 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 351*a**3 - 179*a**3 - 2 - 8*a**2 - 175*a**3 to the form f*a + h*a**3 + b*a**2 + y and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 1831 and 3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-26)\/(m**(-28)*m*m) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v - 275*v**2 - 3*v**2 - 2*v.\nAnswer: -278*v**2 - 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1152344 to the nearest integer?\nAnswer: 1073","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 740 = -6*f + 3*k, 0 = -2*f - 4*k + 296. Calculate the lowest common multiple of 7 and f.\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2 + 2 - 2*q. Let h(r) be the second derivative of r**3\/3 - r. Give h(j(w)).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 x when three letters picked without replacement from jxgjopjxxtpjoox.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 1. Let s(t) = -t**3 + t**2 + 2. Let n(f) = -s(f) + 3*u(f). Let g be n(1). Suppose 88 = g*y + 8. What is the highest common factor of y and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*l + 2*l - l)*(1 - 2 - 7)*(6 - 4 + 0)*(-1 + 2 + 1) in the form d + p*l and give p.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-75))\/(12\/30)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (1105\/663)\/(8538\/1224 - 7)\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 0.215.\nAnswer: -0.043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/19 < -5\/3754?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 6:27 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 1320.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -21814, -42983, -64068, -85069, -105986, -126819?\n\"Answer: 42*z**2 - 21295*z - 561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -2*s - 9, 12*s - 15*s - 4*f = 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-147)\/196 + 22\/8. Let w be (-4)\/(-22) - (128\/110)\/s. Is w greater than -4\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/3 - 22*v - 520\/3.\nAnswer: -2*(v + 13)*(v + 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4)\/m*m*m\/(m*m**(-8)))**37\/((m\/(m*(m*((m*m*m**4*m)\/m*m*m)\/m*m)\/m))\/(m\/(m*(m\/m**(5\/3)*m)\/m)*m)*(m\/(m**6*m))\/m**(-3)) assuming m is positive.\nAnswer: m**(482\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1566 and 232?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + p + 1. Let w = 6 + -3. Let m(q) = 3*q + 3*q**2 + 7*q**2 + 7 + q - 3 + 15*q**w. Let i(z) = 4*b(z) - m(z). Suppose i(s) = 0. What is s?\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1877 is divided by 464?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 227, 413, 601, 791?\n\"Answer: h**2 + 183*h + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 133\/(-152)*(-4 + (-130)\/(-35)). Which is the fourth biggest value? (a) -121 (b) p (c) -0.1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -70.\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxqhddqqqthqhhhhg. Give prob of picking 2 h.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/4950 and -117\/95150?\nAnswer: 856350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -52, -113, -174, -235?\n\"Answer: -61*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1*(-2)\/(-4)*-2 - -1082 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d. Let k(a) = -646*a. Determine k(j(g)).\nAnswer: -646*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 602224 a multiple of 1064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -2, 1\/8, -0.1548?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 3:58 PM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -7*s**3 + 3*s**2 - 3*s + 6. Let z(v) = 8*v**3 - 4*v**2 + 3*v - 7. Give 6*k(b) + 5*z(b).\nAnswer: -2*b**3 - 2*b**2 - 3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -1 - 60954*m**2 - 4 + 3*m + 60956*m**2. Let z(i) = -3*i**2 - 4*i + 6. Calculate -7*k(w) - 6*z(w).\nAnswer: 4*w**2 + 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of j**3\/3 - 9*j**2\/2 + j + 37. Is v(15) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -183125 - 1208?\nAnswer: -184334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 7*f**2 - 1)*(-f - f + f) + 0*f**3 - 3*f**3 + f**3 + (-3*f + 3*f + f**2)*(-2 - f + 2).\nAnswer: -10*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g + 3. Let i(o) = 5*o - 4. Let c(q) = 4*q - 4. Let k(r) = -6*c(r) + 5*i(r). Let f(d) = 2*k(d) - 3*l(d). List the prime factors of f(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s + 8. Suppose -41 = -4*n - 5. What are the prime factors of d(n)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -19. Let w(l) = -l**2 - 7*l - 10. Let d be w(g). Calculate the remainder when (-7)\/(d\/176) + -1 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1130 - 1128. Is m less than 84\/55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3018421 (base 10) in base 9?\nAnswer: 5610441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111000000000110111110001 + -100101?\nAnswer: -1111000000000111000010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -189400563 by -33.\nAnswer: 5739411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + -24 - 47 - -23?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**2 - r**2 + 0*r**2 + (5*r + 7 - 7)*(-r + 3*r + r) as v*r + x + f*r**2 and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(22\/5)*(g\/(g\/(g*g*g*g*g\/g**26*g*g)))\/g)\/(g**17)**(-28))**(-3\/2) assuming g is positive.\nAnswer: g**(-6789\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 + 2)*(-3*f + 5*f + f)*(3 - 1 - 1)*(22*f + 31*f - 5*f).\nAnswer: 288*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 260 divide 1384805760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0678 rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.97 - 0.03. Let v = -7 - s. Let z be (-2)\/10 + 5\/15. What is the third biggest value in v, 4, z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3737\/3726 - -45\/46. Is 0 > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 286 (c) 32 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 516.042528 to the nearest ten.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 387549957 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 30*t - 405. Give g(13).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zs when two letters picked without replacement from {p: 6, k: 5, f: 1, s: 2, z: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i - 74*i + 13*i - 88*i.\nAnswer: -153*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -10*h + 7. Let d(b) = 3*b - 2. Let f(t) = 2*a(t) + 7*d(t). Let y(w) = -4*w**2. Give y(f(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ktkt when four letters picked without replacement from {k: 7, t: 6}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*u - 5*x + 34, 2*u + 5*x = 29. Solve -4*n - u = -a + 1, -5*a - 3*n = 31 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1705799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*t**2 - 12*t**2 + 14*t**2.\nAnswer: -17*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 338881725 to the power of 1\/3, to the nearest integer?\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/(-33) + 23\/22. Which is the biggest value? (a) 8 (b) 0.12 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 + (5 - (4 - (-1 - 11)) - (-1 - 3))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*z**2 + 105 - 43*z - 45*z - 2*z**2 - 15.\nAnswer: -2*(z - 1)*(z + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 7*i + 2. Suppose -1 = -l + 4*v - 2, -2*v - 1 = -l. Let d = -50 - -55. Let h = l - d. Calculate j(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - k + 20. Let r be l(-5). What is the greatest common divisor of 10 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, i: 2, e: 1, z: 1, q: 4}. Give prob of picking 1 e, 1 x, and 1 i.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (165 - 455 - 450)*(3 + 4*h**3 - 7*h**3 + 11*h**3) in the form w*h + n*h**3 + y*h**2 + o and give n.\nAnswer: -5920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 786*r**5 + 201*r**5 - 252*r**5 + (5*r**5 - 2*r**5 - 4*r**5)*(2 + 1 - 1) + 0*r + 0*r - 2*r**5.\nAnswer: 731*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 11*v**2 - 3*v + 37. What is w(-8)?\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (1 - 10)) + (-31 - -73) + -34?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -33.4721714 to one decimal place.\nAnswer: -33.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 8) in base 4?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 48\/13? (a) -7.6 (b) 3\/10 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 - -3. Suppose -3*t + y = -23. Let g = t - 7. Is g a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/16377895 and 83\/32755790?\nAnswer: 32755790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -27*u**3 + 47*u**2 - 13*u - 26. What is the remainder when b(-8) is divided by 112?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {p: 8, k: 5, n: 4}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in kilograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*j - 404 = -67*j. Let p = -89 + j. Is p less than or equal to 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 4, 755, 5\/3, -4.\nAnswer: -4, 0.3, 5\/3, 4, 755","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + -2 + (-335)\/(-5). What is the greatest common factor of m and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -18 (b) -3\/5 (c) 0.5 (d) -6.9 (e) 7068\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) -2\/9 (b) 3952 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*p**3\/5 + 209049*p**2\/5 + 24879*p\/5 - 9954\/5 = 0. What is p?\nAnswer: -1659, -2\/7, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3904 and 584746?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14.9 + -69.1. Let c = -54 - l. What is the smallest value in 5, c, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 7*c**3 - 6*c**2 + 2*c - 2. Let f(d) = -90*d**3 + 78*d**2 - 27*d + 27. Let t(v) = 2*f(v) + 27*u(v). What is the third derivative of t(n) wrt n?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4846 + 4855. Let j be ((-3)\/2)\/(9\/8). Sort o, j, 4\/7.\nAnswer: j, 4\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*k + 8*k - 30*k = 126. Which is smaller: k or 2\/4483?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from stscstspspspscs.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 - 3 - (0 + 0). Let w = -4140 - -4139. Is w != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4059 and 1353.\nAnswer: 4059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 69*x**3 - 972*x**2 + 2361*x - 198 = 0.\nAnswer: 2\/23, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -23122114.5 and 0?\nAnswer: 23122114.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 721346*z**4 + 7*z**2 - 404060*z - 4 wrt z?\nAnswer: 8656152*z**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 - (69\/(-10) + 2). Let m = r + 17\/10. What is the common denominator of m and -117\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40 - -37. Let m be s\/(3 + 12)*2. What is the closest to -2\/5 in -5, 2\/15, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 231401858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12204 - 0?\nAnswer: 12204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -27, 4, 10 in ascending order.\nAnswer: -27, 2, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2256*o*x**3 + 17*o*x**2 - 28*o*x - x**3 - 559509 wrt o.\nAnswer: -2256*x**3 + 17*x**2 - 28*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/11 in 2\/19, -3\/7, 1\/15?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*v**2 + 3*v**2 + 2*v**2.\nAnswer: -13*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1716978*z**4 + 7*z**3 + 1010*z**2 - 3304*z wrt z.\nAnswer: -41207472*z + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 37601825 to the power of 1\/2, to the nearest integer?\nAnswer: 6132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80)\/(-403 + 3) + (-590)\/325 + 1.\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/12*2*8\/(-48)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 312*k + 31837. Give j(-81).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 488*h - 20 + 8 as d + t*h and give t.\nAnswer: -488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -513376*n**2. Let x(q) = -q. Calculate x(k(r)).\nAnswer: 513376*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -342*i = -340*i + 444*i + 340*i + 17292 for i.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*2*sqrt(200) - (1 + -1 + sqrt(200)))**2 + (sqrt(200) - (sqrt(200)*2*-2 + sqrt(200)) - ((sqrt(200) - (sqrt(200) + 0 + sqrt(200))) + -4)**2))*1.\nAnswer: -40*sqrt(2) + 4784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -5*l - 19, -4*n + 8*n + 7 = -l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/1793194 and -21\/340?\nAnswer: 17931940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -106, -75, -30, 35, 126, 249?\n\"Answer: z**3 + z**2 + 21*z - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22650 and 200?\nAnswer: 90600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 13*i**2 + 120*i - 1716. Determine v(13).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 3\/3358?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1814*n**3*q**2 + 2*n**3 - q**2 + 89*q wrt q?\nAnswer: 3628*n**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*o - 12*o - p - 25253, 2*o - 5*p - 10115 = 0. What is o rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68728 != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2318730, -2318728, -2318726, -2318724, -2318722?\nAnswer: -2318720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 75 = -21. Suppose 3*x + 3*i = 42, 22*x - 3*x = -3*i + 266. What is the remainder when m is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -9*n**5\/20 - n**4\/4 - n**3\/6 - n**2 - 2*n. Let q be x(-2). Suppose 8*a - 10*a + q = 0. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 923721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2886.2801 or 0?\nAnswer: 2886.2801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59.95 + -60. Let h = 741 - 746. What is the second smallest value in n, h, 0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/50 and -4 - 108\/(-10) - (-30)\/(-18)?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18973845?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 9*w - 13. Let n be i(7). Let a be 9 - 1*(n - 2) - 0. Solve -u - u = a for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/6 and 57\/359188696.\nAnswer: 1077566088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 + (-19)\/4 - (-38)\/8. Suppose -4*t + 354 = 2*i, 168 = -2*i + 3*i + c*t. What are the prime factors of i?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -22*x**3 - 40*x**2 + 33*x + 4. Let j(k) = -5*k**3 - 10*k**2 + 8*k + 1. What is 9*j(q) - 2*y(q)?\nAnswer: -q**3 - 10*q**2 + 6*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2116*h**3\/7 + 173520*h**2\/7 + 2015088*h\/7 + 1088 = 0 for h.\nAnswer: -68, -14, -2\/529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 108 = -3*k, 30 = 2*m - m + 5*k. Let i = m - 5. Suppose 0 = 5*f - i - 20. Does 10 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 184 and 902152?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55 + -50. Let f(n) = -n**2 + 17*n. Let g be f(13). Let j be (g\/(8\/(-4)))\/(-1). Solve l*h + 4*y - 5 = j, 12 = 3*y for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*j = 25, 5*q - 3*j = -7*j + 125. Let g be (-4)\/3*75\/10. Let d = q + g. Solve 2*p + 20 = -2*p, -2*s + 5*p = -d for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13205*d**3 + 462*d**2 - 462*d**2 - 43164*d**3.\nAnswer: -29959*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/5? (a) 10 (b) 0.2 (c) -58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -82\/28215 and -49\/5791698.\nAnswer: 1650633930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 8. Let f(l) = -l**2 - 5*l + 2. Let x be f(s). Suppose 5*c - 25 = 0, -2*c - 3 + 7 = -x*n. Solve 2*p + n = p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4064 = -8*h + 248. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(65) + -5*sqrt(65)) - (-3*(sqrt(65) + sqrt(65)*3 + sqrt(65) + sqrt(65)) - sqrt(65)))\/(-5*sqrt(320)*4*1).\nAnswer: -31*sqrt(13)\/160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = x - 14, p + 5*x = 2*p - 8. Solve 3*j + 0 - p = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28*a - 36*a + 72*a)*(-1 + 8 + 4 - 2) in the form d*a + b and give d.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from 26.6078531737.\nAnswer: 26.5078531737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1074, -2127, -3172, -4209?\nAnswer: -5238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16766*j**3*y**2 - 2*j**2*y**2 - j*y**2 - 241*j - y**2 - 6*y wrt j?\nAnswer: 100596*j*y**2 - 4*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 7. Let j(t) = -2*t**2 - 12*t. Let g be j(-7). Let z = g - -12. Is z > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3664 - -40259\/11. Find the common denominator of h and (-4)\/30*(-7 - 1055\/40).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of (2\/(-6)*-1)\/(15\/19170)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*b**2 + 11*b**2 + 20*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -331022.75636 + 331013. Let x = n + -0.04964. Let v = -9.9 - x. Round v to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 - 4476*o**2 + 6106752*o - 1480301568.\nAnswer: -4*(o - 432)**2*(o + 1983)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 177776789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 198, 802, 1806, 3210, 5014, 7218?\nAnswer: 9822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -0.569.\nAnswer: -0.2276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 2 + 5)*(g + g - 3*g)*(7*g + 2*g - 10*g) as a + i*g + b*g**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 17*j**2 - 34*j + 69. What is l(-19)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-15)*3\/(-8).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - k - 32 = 0, l + 29 = 2*l + 5*k. Suppose -21 = -3*o + 6. Let i(n) = -l + o + n**2. Let q(p) = -4*p**2. Calculate q(i(a)).\nAnswer: -4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - 12*b + 16. Suppose 26*c = 16*c + 30. Suppose -169 = 10*o + c*o. Let k be p(o). Solve i + 2*z - 1 = 6*z, -z - 3 = -k*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40*19\/1520*30?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 12*g - 23. Let y be d(-9). Suppose 0 = 2*x - 3*x. Solve y = k - x for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 664*t + 784 = -17*u + 14*u, -t - 81 = 2*u for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 24460692 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q*q\/(q\/(q\/(q**(-3\/7)\/q)))*q))\/q)**36)**(-1\/28)\/(((q*q\/(q*q\/q**(-1)))\/q)**(9\/4))**(-3) assuming q is positive.\nAnswer: q**(-765\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 294957 and 195.\nAnswer: 1474785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 d when three letters picked without replacement from {q: 1, d: 4, u: 2, r: 3, k: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -84996*k**2*m**3 - 2*k**2*m**2 + 35543*k**2*m*u - 12*k**2*u + 91*k*m**2*u + 2085*m**3*u wrt m?\nAnswer: -509976*k**2 + 12510*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 150446699 to the power of 1\/2, to the nearest integer?\nAnswer: 12266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**2 - 83*r - 156. Let s be q(-2). Let c = 1 + 2. Solve -8 = c*n + 4*d, n - s*n = -3*d - 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -15*u**3 - 108*u**2 - 13*u + 15. Determine r(-7).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = u - 9. Is u a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -378.86 to the nearest ten.\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 less than -0.100270396?\nAnswer: -0.020270396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/(-156) + 48\/312)\/1.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**3*h + 36588*g**3 - g**2*h + 6*g**2 - 17*g*h + 4*g - h + 1351 wrt g.\nAnswer: -12*g*h + 219528*g - 2*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*w - 4*w**2 - 12*w.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 217*b + 33 = 378 + 89. Put 20, 1, -25, b in descending order.\nAnswer: 20, b, 1, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 109\/327*0\/2 - -18. Let n be (87\/2)\/(2\/24). Calculate the highest common divisor of i and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66658 + 241133 = 99*m. List the prime factors of m.\nAnswer: 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) 0.4 (c) 25\/6 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 65*i**4\/2 + 121*i**3 + 442. What is the third derivative of h(r) wrt r?\nAnswer: 780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 35\/3 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12 + (-1 + 4467\/33)*(-5)\/55 and 35\/4*(-9)\/77.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) 0.09 (c) -3 (d) 3 (e) 1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 75127460 or 75127458?\nAnswer: 75127460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.07556l to millilitres.\nAnswer: 88075.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -804078 divided by 18?\nAnswer: -44671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v. Let s(j) = -2*j - 16. Determine b(s(h)).\nAnswer: 4*h + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of v**6\/60 - v**5\/24 - v**4\/18 + v**3\/9 + 6*v - 8. Factor m(i).\nAnswer: i*(i - 2)*(i + 1)*(3*i - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 242649826 and 122.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 11:37 PM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-4)*20 - 9\/3. Suppose 0 = -i - k + 41. Suppose -2*u + 6*g + i = 5*g, 0 = -2*u - 5*g - 10. What is the lowest common multiple of 6 and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1707973 is divided by 225?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 137905 + 26*u**2 + 143*u**2 - 137905 + 145*u**4 wrt u.\nAnswer: 3480*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*y = 2884 + 2080. Calculate the greatest common divisor of y and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express m**2 - 4*m**3 + 11*m**3 + 22*m**3 - 2*m**2 + 2*m**3 + 2 in the form s*m**2 + q + r*m**3 + g*m and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 13*y. Let p(s) = -1. Let q(m) = -16*m + 10. Let i(v) = 10*p(v) + q(v). Determine n(i(f)).\nAnswer: -208*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 2*r + 3 + (0 - 4 - 6)*(r + 5*r - 2*r) + 3*r - 1 + 1 + 1 + 3*r - 1.\nAnswer: -32*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 198 and 8.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 14*b - 4, -500*b + 8 = -496*b for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.1*7121789.\nAnswer: 71930068.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3916609 is divided by 1020?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 - 1)*(-p + 3*p + 0*p) + (-4 + 2 + 3)*(42*p - 50*p - 1 + 0).\nAnswer: -16*p - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/40328 and 29\/440.\nAnswer: 2218040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 85*d**4 + 3*d**3 + 6*d**2 + 140. Let p(v) = -85*v**4 - 2*v**3 - 5*v**2 - 141. Let f(z) = -2*a(z) - 3*p(z). Differentiate f(i) with respect to i.\nAnswer: 340*i**3 + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44 (base 15) to base 10.\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-a - 2*a**2 + a)*(0 + 0 + a) - 672 - 108*a**3 + 672)*(-10*a - 10*a - 15*a).\nAnswer: 3850*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h - 2*z + 2, 2*z = -39*h + 35*h + 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 100002233 (base 4) in base 10?\nAnswer: 65711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10573321 divided by -10573321\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ctip when four letters picked without replacement from cjtccpci?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 3:02 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3370.\nAnswer: 2, 5, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -66\/5? (a) -10\/7 (b) 14.5 (c) -5.5 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1883 = 2*w + 5*p + 705, 3*w - 1784 = p. What is the tens digit of w\/15 - 2\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -6*i**3 + 64*i**2 + 66*i + 3. Let f be k(-1). Solve 3 = p - 2*u + f, 2*p + 2*u - 4 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46046, -46060, -46096, -46166, -46282, -46456, -46700?\nAnswer: -47026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 4. Let i(s) = -10*s + j*s - 8*s - 4*s. What is the units digit of i(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -341 = -45*g - 521 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1.6, -1.4245, 2\/3, -15?\nAnswer: -1.4245","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lfp when three letters picked without replacement from {z: 1, p: 2, l: 8, v: 1, f: 3, t: 2}?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**4 + 499320*i**3 - 499324*i**2 - 499320*i + 499322 = 0?\nAnswer: -249661, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2 + 597019490*a - 17821613571993005.\nAnswer: -5*(a - 59701949)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1848*u*w**3 - 2*u + 2*w - 322 wrt w.\nAnswer: 11088*u*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13814?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -25.02 times 3\nAnswer: -75.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -r + 23. Let t(l) = -l**3 + 50*l**2 - 97*l + 45. Let a be t(48). Sort 2, -9, r, a.\nAnswer: -9, a, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p + 17 - 15 - p)*(-2*p + 3*p + p) + p**2 + 3*p - 3*p as t*p + r*p**2 + g and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 7169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1308100 is divided by 1970?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -l**6\/720 + l**4\/8 + l**2. Let a(v) be the second derivative of m(v). Let p(j) = 2*j. What is a(p(q))?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 10*m**2 - 8*m + 11. Let l = 553 + -544. Give d(l).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*o = 8*o + 70. Suppose 0 = 3*b + 5*l + 11670000, l - 3890000 = b + o*l. Round b to the nearest one hundred thousand.\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*l = -1661, 4*c + 4*l - 1691 = c. Suppose 5*f - c = 688. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/6 + 3605\/309\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -366 + 401. Suppose 0 = -2*c + 2*q + 12 + 14, 2*q = 3*c - y. Solve 0 = -2*r + 5*r + c for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2270612 rounded to 4 dps?\nAnswer: 0.2271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ajja when four letters picked without replacement from {a: 7, u: 2, j: 3}?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**5 - 2*k**5 + 3*k + 2*k**5 + (3 - 3 - 4*k**2)*(-k**3 - k**3 + 3*k**3).\nAnswer: -2*k**5 + 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 1. Let g(v) = -15*v**2 - 17*v - 33. Let i(m) = -4*d(m) - g(m). Suppose 74*u - 63*u - 253 = 0. Is i(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*n = 19341 - 18981 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 427865.\nAnswer: 5, 83, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -106584, -426209, -958916, -1704705, -2663576, -3835529, -5220564?\nAnswer: -6818681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -4, 5, 2, 10, 1 in increasing order.\nAnswer: -4, 1, 2, 5, 10, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 754744224 a multiple of 3908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (47 + (-28638)\/602)*14\/(-20) + 3.\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, -2\/335, 1\/125, 0.06, 46?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/5 - 25674*f.\nAnswer: -2*f*(f + 64185)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -304 divided by -152?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -n - 2*n - 37, 3*b = -n + 28. Let d(r) = -r**3 + 10*r**2 + 14*r + 2. Let a be d(b). Suppose 1242 = q - a. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*v + 36*v = -5*g - 17, -3*v + 8 = g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a29 (base 11) in base 10?\nAnswer: 3903","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of 1\/180*k**4 - 6*k**2 + 0*k + 0 - 1\/900*k**6 - 1\/225*k**5 + 2\/45*k**3. Factor n(r).\nAnswer: -2*(r - 1)*(r + 1)*(r + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-3) + 13\/3. Let f be (-16)\/(-4)*(r - 4). Which is smaller: f or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p + p**2 - 3*p**3 + p**3 + 0*p**2 as w + z*p + j*p**3 + t*p**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 192683801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*b**4 - 51*b**4 + 19*b**4 + (b**3 + 3*b**2 - 3*b**2)*(-b + 0*b + 0*b) + (b - b - b)*(-18*b**3 - b**3 - b**3).\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**6\/y**3)**(-39))**(-11) assuming y is positive.\nAnswer: y**1287","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, r: 1, n: 1, s: 1, t: 3, c: 6}. Give prob of sequence tst.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 0, 1, 259, -79 in decreasing order.\nAnswer: 259, 1, 0, -7, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55 - 55. Solve -5*g - 25 = -y*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11.405 + -0.405. Which is smaller: g or 2\/195?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*k + 160. Let j be (-3 + -5)\/((-4)\/12). Let b be 5 + j\/(-10) + (-16)\/(-40). What is the highest common divisor of k and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56 - (0 + 0 - 10)) + -11 - -4.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ldl when three letters picked without replacement from {d: 6, l: 7, c: 2}.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/2 of a gram in milligrams?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -22905 - -21667.08?\nAnswer: -1237.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3*q - 2 = -14, 2*p + 5*q + 1 = 0. Suppose -4*w = -p*w + 12. Solve -n - 5*s - 20 = 0, -n - 3 = -2*s - w for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22312 - -3?\nAnswer: 22321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.0370452 millennia?\nAnswer: 0.370452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 851080 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*-89*(3 + -6001 - 2). Round a to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from aakaaakkkkavva.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -155462*f + 155478*f + 272 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 66*u**2 + 344*u - 19. What is the hundreds digit of f(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 + 1357?\nAnswer: 1347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -2. Let j(y) = 23 - 230*y + 227*y + 18. List the prime factors of j(x).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 145 = -28. What is the remainder when 75 is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7839143, 15678284, 23517425?\n\"Answer: 7839141*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6651 + -6643. Let q(x) = x**2 + x - 1. Let a be q(3). Let z(c) = 19 - s - a + c**2. Let j(v) = 14*v. What is j(z(b))?\nAnswer: 14*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42216 and 7451124?\nAnswer: 14902248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3331\/120 + 785\/24. What is the common denominator of 15\/496 and u?\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 5. Let z = 32 - p. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of 1\/2*m**3 + 0 + 0*m + 1\/30*m**5 + 5*m**2 + 0*m**4. What is the derivative of h(s) wrt s?\nAnswer: 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-9) - (-140)\/(-6). Let j = 38 - 3. Let u = j + i. Is u a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert d768e3 (base 15) to base 6.\nAnswer: 1003354453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((((-1*sqrt(275))\/sqrt(11) - sqrt(25)) + sqrt(250)\/(-2*sqrt(10)))\/(sqrt(125)*4 + (sqrt(200)\/sqrt(4))\/sqrt(10)))**2.\nAnswer: 125\/294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74 + 74 + o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 11:04 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -c + 4. Let a(p) = -8 + p**2 + 11 + 6 - p**3 + 7*p. Is a(c) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*w = -42*w + 184 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffff when four letters picked without replacement from fffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.9 in 2, -171, -16, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15240 is divided by 103.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1151205 (base 6) to base 14\nAnswer: 1843b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.02 - 2.98. Let r be 568\/18460*1*(4 - -1). Which is the third smallest value? (a) -8 (b) r (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1999638076?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 443*c - 441*c - 14, 9*c = 4*u + 55. Sort u, 566, -4 in descending order.\nAnswer: 566, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 20*o**2 - 5*o - 7. Is t(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 446, 1674, 3756, 6722, 10602, 15426, 21224?\n\"Answer: 5*v**3 + 397*v**2 + 2*v + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -13) + (11 - (4 - -5))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzyjj. What is prob of picking 1 y and 1 j?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -9. Suppose -m + 5 = 0, 3*h - w*h + 9 = 3*m. Let r(s) = s**2 + 5*s - 5. Let o be r(h). Solve 0 = -f - 0*f - o for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (10 - (10 + -1) - -22)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-5))\/((-26)\/7735*17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1618 is divided by 274?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1654?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*n + 747736*n**2 - 21*n.\nAnswer: 747736*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -16 times -0.321794\nAnswer: 5.148704","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 10:16 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 11, n: 2}. Give prob of picking 2 z.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 9, -21970.6 in increasing order.\nAnswer: -21970.6, 1\/7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 - 88. Let a = -58 - u. Let l(o) = -17*o - 9. Let d(v) = -9*v - 5. What is a*d(f) + 6*l(f)?\nAnswer: -3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1586690 divided by -317338.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6ca313 (base 13) in base 14?\nAnswer: -4b6d71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51171495 - 266*j**3 - 51171495.\nAnswer: -266*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-1\/2)\/w*w)\/w)\/w)**(1\/21)\/(w**(-16)\/(w*w*w**(2\/13))) assuming w is positive.\nAnswer: w**(9847\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, 7, 34, 57, 76, 91, 102?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13903 + 63774. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 4*k**2 + 3*k**2 - 6*k)*(207*k**2 - 181*k**2 - 26*k**2 - 4520*k**3).\nAnswer: 4520*k**5 + 27120*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15081626?\nAnswer: 2, 7, 577, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iipsfuy. What is prob of sequence fps?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 + -4. Let r be ((-1645067)\/60 - 24\/t) + -3. Let s = -27414 - r. Calculate the common denominator of s and -59\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8054*k + 227708 = 1144*k + 587028 for k.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 557628738.\nAnswer: 2, 3, 2693, 34511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8615 divided by -1.\nAnswer: -8615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -521 + 525. Calculate the greatest common factor of f and 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 - w**2 + 0*w**2 - 4*w**2 + 2*w**2 + w**2 + (0 + 2*w + 0)*(0*w - 5*w + 3*w) + w**2 + 2*w**2 - w**2)*(-9*w - 6164 + 6164).\nAnswer: 45*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, 4, -2, -6, 14, 20.\nAnswer: -61, -6, -2, 4, 14, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -338060 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**5 + 5*i**2 - 5*i**2 - 5*i**5 + 0*i**5 + 2*i**5 + (-2 - i + 2)*(2*i**4 - 2*i**4 + 2*i**4) - 35*i**5 - 317*i + 317*i.\nAnswer: -42*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11 - 10 - 3\/(6\/8). Let j(k) = -k**2 - 2*k + 2. Let d(i) = -15*i**2 - 3*i + 4. Let q(s) = b*j(s) + d(s). Determine q(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-145)\/(-580)*(-88)\/10.\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 - 5*q**3 - 7*q**3 + 29.\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 91830420 a multiple of 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 2\/13, -4, -2\/51?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -193600 by 50.\nAnswer: -3872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 9 = -3*o, f - 2*o + 7*o + 15 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c - 9*c - 5*c - 8*c in the form g*c + y and give g.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 187 = -2*j - t, 2*j + 5*t = 84. What is the remainder when 6598 is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*u*x**4 - 176*u*x - 4*u + 21*x**4 + 2*x + 2 wrt x?\nAnswer: -360*u*x**2 + 252*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s**2 - 1. Let c(v) = -19*v**2 - 49*v + 24. Let f(x) = -c(x) + 5*q(x). What is the hundreds digit of f(-19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 + 29. Put 3\/5, -1, -5, t in decreasing order.\nAnswer: t, 3\/5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 460 in decreasing order.\nAnswer: 460, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*q = -78*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 60487?\nAnswer: 60489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 34091 smaller than 34087?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 4 - 24. Let h = 3827\/4 + -978. What is the common denominator of 4\/y - 463\/(-20) and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7279137 - 6\nAnswer: -7279143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 13*k - 10. What is n(-15)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkeee. What is prob of picking 1 k and 1 e?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-14)*-18*4*2\/(-40)\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 188825 and 525?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**4 - 3*i**2 - i + 1. Let p(d) = -d**5 - 8*d**4 + 9*d**3 + 20*d**2 + 2*d - 2. Let b(v) = 6*n(v) + 3*p(v). Solve b(y) = 0 for y.\nAnswer: -7, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10940, -11089, -11240, -11393, -11548?\n\"Answer: -p**2 - 146*p - 10793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 - 22. Let i(r) = 2*r + r - t + 11 - r. Suppose 3*f = -x - 2*x - 24, 11 = -4*f + 3*x. Let k(n) = 3*n + 2. Determine f*i(j) + 3*k(j).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -0.2. Let w = -11675 - -11671. What is the nearest to 3\/2 in w, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*u. Solve 4*r - r = u for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d**3 - d**2 - 2*d + 4. Determine y(3).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, -53, 9\/7, 0.2, 111?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2560)\/7840)\/(6\/(-147)) + (-2 - (2 - -1)). Factor -384*n + 2379\/2*n**2 + 507\/2*n**g + 30.\nAnswer: 3*(n + 5)*(13*n - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3626339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/3)\/(-28) + 574\/70*(-20)\/(-3)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(-18 - -4)\/2. Let x = -16 - -8. Let g = d - x. Solve s - g - 1 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 305 (base 10) to base 13.\nAnswer: 1a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/10)\/1 + (-3096)\/(-860).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10530 divided by -81?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7293127 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 3*r)*((5 - 2 - 1)*(-6 + 4 + 3) + 5 - 1 - 2)*(0 - 7 + 0) - 6*r + 134 - 134.\nAnswer: 78*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*k - 51*l - 60*l + 106*l, -15*k + 3*l = -6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from fffffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41 + -23. Suppose -j = -9*d + 8*d. Let i(b) = 6*b - 6. Is 17 a factor of i(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2097240*j + 2097206*j + 1474 = 114 for j.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.103 - 10.697. Let u = -0.2 + j. Let v = u - -10.93. Is v at most -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (-38)\/1 - -1. Let t be ((-1)\/(-2))\/(4\/z). What is the greatest common divisor of t and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6421*x**3 + 3*x**2 + 2*x + 90?\nAnswer: 38526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 115102600 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 123416 and 9956.\nAnswer: 307182424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.1707785+-5\nAnswer: -5.1707785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r**2 + 8*r - 2. Let a(o) = -11*o**2 + 24*o - 7. Calculate -3*a(f) + 8*x(f).\nAnswer: f**2 - 8*f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -744097 (base 10) in base 8?\nAnswer: -2655241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2533292?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccm when three letters picked without replacement from {x: 4, m: 1, q: 5, a: 3, c: 5}.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 4*x**2 + 2*x)*(-17 - 29 - 16).\nAnswer: -248*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - 25) + 24 - 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5.18 and -939?\nAnswer: 944.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68, -2342, -1, -4 in decreasing order.\nAnswer: -1, -4, -68, -2342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26533305 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-6))\/((28\/(-654))\/(-7)). Let l = 109 + s. What is the nearest to -2\/5 in l, 3\/8, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3846537 is divided by 51287.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-25) + (-3)\/(-10) - ((-429624)\/4455 + 96)?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (146\/84 - 3)*(-3)\/6. Let r = -1\/28 - y. Let s = 10 + -15. Which is the smallest value? (a) -2 (b) s (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 604983 is divided by 19515?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 10 = -5*u - 4*j, 4*u - 1 = -j. Let g be -65*(-5 - u - -3). Let i be ((-1)\/(3\/(-39)))\/1. What is the greatest common divisor of i and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(7\/(-3))*2646\/378?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 5. Let r(i) = -8 + 15*i**2 + 6*i**3 + 6 + 32*i - 13*i**2 - 31*i. Determine r(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 4:45 PM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38 - -39. Let i be (10\/45*3)\/(a\/6). Suppose 532 = i*j + 5*t, 0*t - 136 = -j - 2*t. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3800017 - -0.38. Round n to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -637\/2 greater than or equal to 97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.0722 - 0.3.\nAnswer: 1.7722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -7.2. Let z = -1 + 1. Let n = -0.5 + z. What is the second smallest value in 4, c, n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*p - 44*p + 95*p as c + b*p and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one quarters of a day in hours?\nAnswer: 426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, n: 1, u: 2, v: 2}. What is prob of picking 1 v and 1 u?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o. Let j be g(4). Suppose -3*v - 3*h - 475 = -j*v, 4*h = 20. Suppose -3*a - 12 = -0, 2*b - v = 2*a. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 4*p - 8 = 4*m, -3*p = 5*m + 4. Suppose -i = 5*f - 1, -i - m = -3*f - 2*i. What is the nearest to -2 in 2\/3, f, 0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -826?\nAnswer: 821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 764120 (base 8) to base 13.\nAnswer: 8c736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 17*a**3 + 4*a**2 - 2*a + 10. Suppose 3*m + 3*x = -3, 5*m + 3*x - 2*x - 11 = 0. Is c(m) 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 32014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -8 (b) -0.002 (c) 474 (d) -4 (e) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1*(-4 - -2) + 16.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471 is divided by 30?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 425894271 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 190425047*f**3 + 4*f**2 - 71702870 wrt f.\nAnswer: 1142550282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.9107 rounded to zero dps?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -167196 - -167207.00024. Let k = d + -11. What is k rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 29482, 58955, 88428?\n\"Answer: 29473*t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((3 - 3) + -2)*-1. Suppose 4*u = 3*f - 7, -n*f - 4*u = -2 + 4. Let q = f - -1. Solve q*s = 12 - 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 113721 by -37907.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 488263?\nAnswer: -488268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - x = -14, -3*x - 421 = -5*s - 403. Put -2, s, -12, -3 in ascending order.\nAnswer: -12, -3, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 13*l + 166. Let p be r(8). Suppose 2*h - 40 = -38. Put 14, h, p in descending order.\nAnswer: 14, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 5*z - 44 = 0, 550186*z - 550187*z - 2 = x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/9 and 145\/24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t. Let x(f) = 5*f + 1. Calculate -4*g(k) - 2*x(k).\nAnswer: -6*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23122 + 23132. Solve 10 = -2*b + 5*r, -50*b + 52*b + k = 2*r for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 3*k = -48, 2*j + 109*k = 110*k - 52 for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -31. Let x = d + 5. Sort x, 4, -1.\nAnswer: x, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 6 = -5*d, -8*i + 5*i = 5*d - 22 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - p + 0 + (0*p + 3*p - 2*p)*(-1 - 2 + 2) + 0*p + 2*p + p - 3*p + p + 2 + 3*p)*(47 - 181 - 53).\nAnswer: -374*p - 374","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -168*q**2\/5 - 1009*q\/5 - 6\/5 = 0. Calculate q.\nAnswer: -6, -1\/168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - i. Suppose 0 = 4*t + 8, -4*t + 92 = 2*a - 0*t. Suppose a = 14*k + 8. Let n(u) = 5*u**2 + 4*u - 1. Calculate k*w(c) + n(c).\nAnswer: 2*c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30695, -122746, -276155, -490916, -767023?\nAnswer: -1104470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 5. What is the third derivative of 25*i**2 - 18*i**2 - 2*i**p - i**4 + i**4 wrt i?\nAnswer: -120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wrrwdgwdrdd. Give prob of sequence gdw.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2*(sqrt(448)*-2)**2*6 - (-4 + 3*sqrt(7) + (sqrt(1008) - (0 + sqrt(1008))))).\nAnswer: -43016 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 3363668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 265227615 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2943141017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*x**5 + 2195*x**4 + 328130*x**3 + 17664790*x**2 + 142836265*x - 160831385 = 0. Calculate x.\nAnswer: -143, -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - 40\/(-7) - 30\/(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2556*w*y**2 + 2*w*y + 7*y + 31 wrt y?\nAnswer: 5112*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 219 - 202.1. Let z = n + -17. Let g = z - 0.2. What is the nearest to -0.1 in g, 0, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d - 66. Let v(o) = o + 25. Let h(y) = -4*s(y) - 11*v(y). Suppose 0 = -r + 2 + 4. What is h(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*u + 4 - 5*u**4 + 9 - 13 wrt u.\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t + 13 - 9 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -r**7\/504 - 11*r**4\/6 + 19*r. Let d(x) be the third derivative of t(x). Find w, given that d(w) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a milligram in micrograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 r, and 1 t when three letters picked without replacement from ttqxrxrrq?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -672 * -227.\nAnswer: 152544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 181\/126000 and 47\/8?\nAnswer: 126000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 1.49.\nAnswer: 5.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 33638479 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -315422243 (base 6) to base 5\nAnswer: -2412230131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 706 or 865?\nAnswer: 706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1151904110?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3057802 - 16.7952098. Let j = r + 17.1. Round j to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263259407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c**2 - 2*c. Let k be t(2). Let m = k + -6. Solve 6 = 4*v + m for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -6*o + 3. Suppose -4*p = -3*p - o. Solve -2*s - s + 21 = 5*z, -2*s + z + p = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**2 + 0 + 29*z**2 - 2*z**2 + 0.\nAnswer: 25*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of m**3\/2 - 3*m**2\/2 - 2*m - 3. Let h(a) be the first derivative of k(a). What is the first derivative of h(n) wrt n?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -31, 9, -3, -6, -2 in increasing order.\nAnswer: -31, -6, -3, -2, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20574761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.087436 to three decimal places.\nAnswer: -0.087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.4 + -1. Sort g, -5, -2.\nAnswer: -5, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1516\/15 or 100?\nAnswer: 1516\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-748)\/(-22)*14\/4 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2 - 2*o - 2*o + 3*o. What is the remainder when i(-9) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) 0.5 (c) -22 (d) 47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 2*z + 3901, -3*n = 3*z + 2*z - 3898. Let m = -589 + n. Does 8 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/8)\/(1\/324). Let q = h - -342. Let z = 329 - q. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of 3*h**5\/160 - 13*h**4\/16 + 3*h**3 + 637*h - 2. Factor v(d).\nAnswer: 3*d*(d - 24)*(d - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -3. Let v = -72 + 51. Let i be v\/(-14) - (-1)\/2. Solve 0 = 4*o + i + y for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 80, -15, -1, 6.\nAnswer: -15, -1, 6, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -239955 bigger than -239956?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*n + 0*n - 9*n)*(-71*n - 22*n + 18*n)*(1 + 2 - 4).\nAnswer: -1725*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**5 - 1531*w**4 - 559843*w**3 + 20288243*w**2 + 42249896*w + 21403340 = 0. What is w?\nAnswer: -782, -1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -5\/2 and -3512036 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 15575 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 197373960 divided by 39474792?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, e: 6, o: 3}. Give prob of sequence wee.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Is -2\/179 smaller than -89\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 558 = -260. Let n be s\/(-25) + (-252)\/42. Which is bigger: -0.2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 5:58 PM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j - 5. Let d(q) = 2*q + 3. Let i(h) = h + 1. Let r(v) = -2*d(v) + 5*i(v). Calculate -f(t) + 3*r(t).\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -211 (base 3) to base 8\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r + 414. Let h(d) = 50*d - 18*d - 9*d - 21*d. Determine h(b(l)).\nAnswer: 2*l + 828","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 86 - 380. Let j = 428 + c. Let m = -46 + j. What are the prime factors of m?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -g**7\/280 - g**4\/8 + 2*g**3\/3 - g. Let p(d) be the second derivative of c(d). Differentiate p(f) wrt f.\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tmqe when four letters picked without replacement from ktekemeqkmekeeqe?\nAnswer: 1\/1560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247368234.\nAnswer: 2, 3, 281, 146719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 86998 = -50629. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -69 - -344\/5. Sort 3, g, 4\/7 in decreasing order.\nAnswer: 3, 4\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(24)\/sqrt(6)))\/(sqrt(288) + 3*sqrt(288)).\nAnswer: sqrt(3)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/23)*k)**(-49)*k*(k\/(k\/k**(-1\/9)))\/k*k*(k**(-5\/3)*k)\/k)**(5\/4) assuming k is positive.\nAnswer: k**(-53725\/828)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 6 + 2*x + 40599*x**2 - 121794*x**2 + 40594*x**2 + 40600*x**2. Let w(g) = -2*g**2 + g + 6. Determine 3*w(h) - 2*y(h).\nAnswer: -4*h**2 - h + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(209)*-3 + (sqrt(209) - (sqrt(209) + ((sqrt(209) + -1*sqrt(209) + sqrt(209))*4 - sqrt(209)))))*-6)\/(-4*4*(sqrt(110)*-2)\/sqrt(10)).\nAnswer: -9*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 1393 = -5*w, 276 = w - 9*o + 6*o. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, r: 1, q: 4, u: 9, y: 1}. What is prob of picking 1 u and 1 v?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7 + 378\/(-70) - (-62)\/155. Solve 9\/2*z**h + 0*z + 0 + 0*z**4 + 3\/4*z**5 - 21\/4*z**3 = 0.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 585 + -577. Solve -3*m - 2 = -2*n, 2*m + 4*n - 12 = g for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.04 - 0.36. Let x = o - -0.4. Suppose -1 = g + 3*w, 7 = 5*w + 2. Which is the nearest to x? (a) -3 (b) g (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12656 + 405?\nAnswer: -12251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 7*p - 5. Suppose 3*z + 35 = 95. What is the remainder when g(-4) is divided by z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 2:35 PM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4130 is divided by 411?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2. Let g(n) = -n**3 - 5*n**2 - n - 4. Let d be g(-5). Suppose 7 + 3 = -5*w. Let l = w - d. Let t(z) = -z + 3. Determine l*f(u) - 2*t(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -12*n**2 - 3*n + 8. Let f(a) = 15*a**2 + 2*a - 12. Let c(g) = -2*f(g) - 3*l(g). Let j(x) = -7*x**2 - 4*x. Determine 5*c(k) + 6*j(k).\nAnswer: -12*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -277*n**2 - 2*n + 7*n + 290*n**2 - n - 6*n.\nAnswer: 13*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*o - 10*o = 63. Factor -8*i**2 + 8*i**2 + 3*i**4 - 15*i + 15*i**3 - o*i**2.\nAnswer: 3*i*(i - 1)*(i + 1)*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2232205 (base 6) to base 5\nAnswer: 12111021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1073609*q**2\/3 + 6441652*q\/3 + 4.\nAnswer: -(q - 6)*(1073609*q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/33 and -13\/30219.\nAnswer: 332409","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6809 - -6809.9. Sort 1, 0.04, -2, y in decreasing order.\nAnswer: 1, y, 0.04, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5003773, 10007540, 15011299, 20015050?\n\"Answer: -4*z**2 + 5003779*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.308 + -5.308. Which is the second smallest value? (a) 73 (b) 1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(220)*-6)\/((3*2*sqrt(50))\/sqrt(10)).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 1044038\nAnswer: 1044038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3281*a**6*i**2 + 10*a**2*i**2 - 2*a**2 - a*i**2 + 12*i wrt a?\nAnswer: -393720*a**3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 22*d**2 - 27*d + 17. Give p(-23).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28519 = 3*w - 80279 - 34721. What is the ten thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 50\/3 (b) 3 (c) -2\/3 (d) -0.048\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 12, 37, 72?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from msznnszcnnnncncc. What is prob of sequence mzz?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33796 by 17.\nAnswer: -1988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1*(-2)\/(-6))\/(13\/(-78)). Let x be (3 - b)\/(3\/(-15)). Is (-60)\/45*2*(x - 1) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 m when four letters picked without replacement from {m: 2, s: 1, d: 6, j: 2, u: 4, a: 2}.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 50\/12 - (-2)\/(-12). Find the first derivative of 2 - 1 + 18*y**2 - 2*y**f - 18*y**2 wrt y.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 6 = 6. Suppose -3*v + m = -3. Let w = 2 - 4. Put v, w, 3 in increasing order.\nAnswer: w, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11031 (base 8) to base 15\nAnswer: 158d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 5*m = -5, -l + 2*m + 11 = -2 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 l, and 2 f when four letters picked without replacement from lflflvvvbv?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4277.251 + 1148.29. Let u = 5425.30100011 - q. Let l = u + 0.24. Round l to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33 or -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7033359433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - j - 9 = 0, 3*j + 1 + 14 = 3*z. Sort z, 1, 2, 9.\nAnswer: 1, 2, z, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/25 of a litre in millilitres?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 9:34 AM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -300 + 303. Suppose 0 = -j*h - 5*p + 5, -72*p = h - 75*p + 3. Solve h = l + 9 - 5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 1:25 AM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*s**4 + 2*s**4 - s**4)*(13163 + 9074 + 5155 + 12295) in the form n*s**2 + q*s**3 + o*s**4 + a*s + m and give o.\nAnswer: -79374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.22 + 1.62. Let i be 2 - (-7 + 1)\/(-3). What is the second smallest value in 1, a, i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -357.15521 to the nearest ten.\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 2*t + 3*t)*(4*t - t - 2*t + (0*t - 2*t + t)*(-1 - 2 - 11)).\nAnswer: 30*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11560 divided by 4?\nAnswer: -2890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q - 20. What is the lowest common multiple of l(-7) and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2, -0.2, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 92 = 107. Let k = 27 + -17. Is 21 a factor of -3*k\/z + 132\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -478*w + 26751 - 5719 for w.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - 1*(4 - 10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3*a - 7 = 0, 2*y + 2*y = 2*a + 22. Suppose -4*v - 19 = -3. Let l be ((-2)\/(-1))\/(v\/(-2)). Sort l, 3, y.\nAnswer: l, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 15. Let l(d) = d**3 - 3*d + 5. Let q be l(2). Suppose -56 = -q*a - 14. What is the smallest common multiple of a and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19528655?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7920.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -3*q + 3*c + 21, -q - c + 8 = 0. Let t(g) = -4*g**2 + 8*g - 22. Let l(k) = 3*k**2 - 5*k + 15. Let s(f) = q*t(f) + 7*l(f). Give s(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**2 + 0*q**2 + 10*q + q**2 + 12*q to the form j*q + l + m*q**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in 2, 2\/15, -3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 2:27 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6843106 a multiple of 516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3*i. Suppose -d + 32 = 3*d. Let j = d - 6. Which is the biggest value? (a) 5 (b) i (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5202640, -10405282, -15607918, -20810548, -26013172, -31215790?\n\"Answer: 3*z**2 - 5202651*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - c - 162, 0 = 4*k + 3*c - 7*c - 316. Let y = k - 34. Let v be ((-105)\/30)\/((-2)\/4). What is the greatest common factor of v and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6562 + -2595. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -5, -1 in ascending order.\nAnswer: -5, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1832)\/(-3664))\/(1\/(-14)))\/(-1*10).\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 70*h - 2*h - 340 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16210*t**3 - 24*t + 16174*t**3 - 25*t + 49*t.\nAnswer: -36*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - 2 - (-17 + 12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98738*j**2 - 197472*j**2 + 440*j + 98704*j**2 - 440*j.\nAnswer: -30*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 1428 = -2*q, c + 24*q - 1436 = 22*q. What is the remainder when c is divided by 716?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*p**6 + 136*p**5 + 1064*p**3 - 50*p**2 - 15095 wrt p.\nAnswer: -2880*p**3 + 8160*p**2 + 6384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 17 = 4*w, -l + 9 = 3*w - 2*l. Suppose -5*f = -w*g + 8400 - 747, 0 = 5*g - f - 19190. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h - 5. Give w(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c. Suppose -5*k - 14 = 2*u, -2 = 5*k + u - 5*u. Let y(s) = -2*s**3 - 2*s**2 - 2*s - 3. Let i be y(k). Let v(w) = -i*w + 4*w + 4*w. Calculate v(h(x)).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 3*m + 2*m)*(3 - 1 - 4) + 2 - m - 2 - m + m + 4*m + (3*m - 4*m + 3*m)*(2 - 1 + 1).\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36*c**3 + 20115*c**2*n**2 - 3280706*n**2 with respect to c.\nAnswer: -108*c**2 + 40230*c*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o - 32. Let s be w(-37). Solve -5*x = -0*n + 5*n - s, 2*x + 5*n - 17 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21104\/9 + -2342. Suppose 0 = o + 2*j + 14, 50*j = 48*j + 8. Find the common denominator of o and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of u**4\/6 - 5*u**3\/2 - 9*u**2 - 42*u - 1. What is the lowest common multiple of 28 and z(10)?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5148 and 888624.\nAnswer: 11552112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4404980 * 7\nAnswer: 30834860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -347. Calculate the remainder when c is divided by 97.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -128*f**4 + 3054608*f**3 - 6872625*f**2\/2 + 1932903*f\/2.\nAnswer: -f*(f - 23863)*(16*f - 9)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from sss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11 and 0.19.\nAnswer: -2.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, f: 16}. What is prob of picking 1 f and 1 i?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = g + 462, 236 = -2*d - 2*g + 4*g. Let r = -810\/7 - d. Let z be (2\/(-4) + 2)\/(-3). What is the nearest to r in -3\/4, z, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 405060880 to the nearest integer?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of d**3\/3 - 17*d**2\/2 - 79*d - 25. Let n be y(21). Solve w + 3*w - 4*r = 8, n*r + 17 = -2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*p - 12*p + 136 = 0. Find the third derivative of 5*u**4 + 22*u**2 - 124*u**2 - 2*u**4 + 7*u**p - 104*u**2 wrt u.\nAnswer: 240*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -12669.6?\nAnswer: -25339.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*p**2 - 46*p**2 + 157*p**2 - 57*p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.41 + 1.41. What is the third smallest value in u, -2, 0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b\/b**4))*b\/(b*b**12*b)*b*b**(-2\/5)*b**6*b)**(-9) assuming b is positive.\nAnswer: b**(378\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 227?\nAnswer: -5\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 76 - 64. Suppose 0 = 6*m - 54 + p. Solve -3 = 2*h + m for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 68153 and 192432?\nAnswer: 3271344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -58*c - 25. Let y(u) = -4. Calculate n(p) - 3*y(p).\nAnswer: -58*p - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l**2 - 510 + l**2 + 512 - 2*l**3 + (l**2 + 2*l**2 - l**2)*(2*l - 2*l + 2*l).\nAnswer: 2*l**3 + 5*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1363127 to the nearest integer?\nAnswer: 1168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -106972227039299 minus -0.4?\nAnswer: -106972227039298.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 + 8 + 7)*(3*i + 0*i - 5*i)*(i**3 - 2*i**3 + 2*i**3) to the form z*i + t + n*i**2 + w*i**3 + d*i**4 and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 4*g - 172, -m + 4*g = -g - 93. Calculate the remainder when m is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u**3 + 8*u**2 - 5. Let x(w) = -2*w - 13. Let h be x(-8). What is the hundreds digit of y(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i + 246825 - 2*i - 246825 + 32*i**3 + i.\nAnswer: 32*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1440 and 1836300?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 343183 + 44a?\nAnswer: 343611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from ddccdccdddddcdddcd?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1140)\/18)\/((-12)\/54). What is the greatest common divisor of 1083 and f?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 + 3)*(0 - -1). Solve -3*l + 35 = -5*k, 2*l = -4*k + x*l - 41 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.05 + 0.35. Which is the second biggest value? (a) -3 (b) -1\/10 (c) -0.5 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*b + 49292 + 16800. Let r = 1614 - b. Suppose 32\/7*k + 0 - 4\/7*k**r = 0. Calculate k.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -83 - -184. Suppose o - 81 = -2*b + 2*o, 0 = 2*b - 5*o - k. Is b a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 9:41 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 137*z**2 - 13 + 2.\nAnswer: 137*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.5808 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5.606793 centuries?\nAnswer: 56.06793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 9*a**2 + 8*a. Let s(z) = -9*z**2 - 7*z. Let w(b) = 6*j(b) + 7*s(b). Let i be w(-1). What is the third smallest value in 2\/13, 0.5, i, -2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -10*a**2 + 5528*a - 739544. Give d(227).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 - 6)*(0*u - 3*u + 5*u) + (0 + 3 + 0)*(44*u + 85*u - 32*u) in the form b + h*u and give h.\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189 - 677 = -2*h. Let v = -1 - h. Let q = v + 168. What is q rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7002357?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 2\/3, -0.1, 6370?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1197550979.\nAnswer: 1197550979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 6251*i**2 + 12*i + 32. Let m be q(-8). Round m to the nearest ten thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 502194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 144 = 2*l. Let s = 238\/5 + l. Which is the third smallest value? (a) s (b) -0.1 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 5*w - 58, -3*o + 86 = -5*w - 48. Calculate the greatest common factor of 38 and o.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 11*n**2 - 1. Let u be w(-1). Let v(c) = -1 + 16*c + 4*c**3 - 4*c**2 - u*c - 3*c**3 - 2*c**3. What is v(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -5. Solve 2*u = -v - 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*v + 34*v - 70*v.\nAnswer: -19*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.524 * 0.5\nAnswer: 0.262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*f**2 + 0*f**3 - f - 429251*f**4 + 429290*f**4 - 2*f**3 to the form h*f + d*f**3 + l*f**2 + s + w*f**4 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11 - -8?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3822640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -9*p**3 + 2*p**2 - 5*p - 1. Let b(k) = -10*k**3 + 3*k**2 - 6*k - 2. Calculate 2*b(y) - 3*h(y).\nAnswer: 7*y**3 + 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7388 - -16?\nAnswer: 73a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1268777.\nAnswer: 1268777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -83 + 57. Let s = v + 32. Solve -s = f - 2*i, -2 = -2*i + 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6537 - 6535 = 2*c + 2*m, -4*m = -c + 21 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = 315*q - 1428. Calculate the highest common divisor of 127 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 11461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 332894954 to the power of 1\/2, to the nearest integer?\nAnswer: 18245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -1\/60*f**6 + 0*f**4 - 10*f**2 + 0*f**3 - 1\/5*f**5 + 0 + 0*f. Factor c(a).\nAnswer: -2*a**2*(a + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2 - 4 + 8318*c - 8302*c. Give i(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 195*y**3 - 195*y**3 - 29*y**2 + 5*y**2 + 34*y**4 wrt y.\nAnswer: 816*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 1 + 3. Let c = t - -1. Is 2 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g + 18*g + 5*g to s*g + l and give s.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-2)\/120)\/((-5)\/20).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**3 - 2*p**2 + 1. Calculate x(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -138 + 168. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17787558389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -813 divided by 94\nAnswer: -813\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1440 and 96420.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5297.318m?\nAnswer: 529731.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, l: 5, c: 4}. Give prob of picking 2 l.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1795, 3947, 6099, 8251, 10403?\n\"Answer: 2152*w - 357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + d**3 - 5*d**3 - 1 in the form b*d + c*d**2 + o*d**3 + r and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -224620 by 10.\nAnswer: -22462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -140212230124?\nAnswer: 140212230122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -57 - -53. Sort -1, -7, v in increasing order.\nAnswer: -7, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 578*y + 44040 = -817*y + 294*y for y.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**3*j*k*z - 15*g**3*j*z**2 + 2*g**3*z + 3*g*j*k*z**2 - 11*g*j*k*z + 5*g*j*z**2 + g*k - 2*g*z wrt z.\nAnswer: -30*g**3*j + 6*g*j*k + 10*g*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-4) + (-120)\/32. Suppose 0 = 4*w + 17 - 13. Is o at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4067 is divided by 117.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 plus -0.05027?\nAnswer: -16.05027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbn when three letters picked without replacement from {n: 2, b: 8}.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -0*h - 5*h, -5*a - 10 = 5*h. Let t be (-2708)\/(-1350) + (-2)\/a. Let d = 41191\/2700 - t. Calculate the common denominator of 64\/3 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 4*x**2 - x - 3. Let b be g(-4). Let l be (-4)\/14 - (-64)\/28. Let f = b - l. Which is smaller: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1873469365 to the nearest integer?\nAnswer: 1233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1055267 (base 8) to base 14\nAnswer: -75dd5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*b + 2*b - 76*b in the form y*b + s and give y.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 72 - 45. Is 26 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*x - 126 = -30*x. Calculate the remainder when 74 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-424)\/10 + 4\/10. Let c be 406\/y - (-4)\/6. Calculate the remainder when (-10)\/(2 - c\/(-4)) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 1:32 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 8, -2200*k = -2198*k + 4*f + 94 for k.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 76\/2921 in -0.2, -36, 4, 3\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p**2 - 17*p + 20. Let k be y(1). Which is bigger: -49\/190 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 - 21. Suppose 30 = z + l*z. Suppose -31 = -2*g - 3*f, -z*g - 4*f + 89 = 22. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17 or 0.37?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*k + 5*d - 7, -3*k = -2*d - 10. Suppose -8*h = -k*h - 12. Suppose -h*n + 7*n + 2897 = 3*o, 0 = 4*o - 5*n - 3863. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-11)\/(-6)*468\/208)\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 12. Calculate the lowest common multiple of (u\/(-6))\/(5\/(-270)) and 14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 + -14. Is 3 a factor of (-7 - (-2 - 2)) + v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*y + 129*y + 1 = 5*a, -5*a = -5*y - 25 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*o + 30233 = -485818. What are the prime factors of o?\nAnswer: 23, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/33 and 52\/75?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 64 = 4*j, 4*j + 660 = z + 620 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 3*c + 24 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 653*j**2*p + 4*j**2 + 6*j*p - 2*p**4 + 168 wrt p.\nAnswer: 653*j**2 + 6*j - 8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-2)\/4 - ((-1755)\/((-1809)\/67) - -10).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b = -9*b - 11*b - 392 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13335430603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11068*g - 43418*g**3 + 43419*g**3 + 11068*g.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0891974 rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -40. Suppose -s = 3*s + w. Let y(t) = -t**3 - 6*t**2. Let z be y(s). Solve z = 3*p + 2*p - 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (47*v - 2 - 24*v - 21*v)*(3 - 3 - 2*v + (-1 + 5 - 2)*(2*v - 7*v - 4*v)) to the form q*v + o*v**2 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*z - 830 - 1130. Let d be (1 - 0)\/((-5)\/z). Solve -2*t - d = 5*p, -t - 2*t = -p + 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**3 - 2063747*r**2 - 20637545*r - 51593925 = 0.\nAnswer: -5, 2063757","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -z - 3*c - 8522, -z + 5*c + 2139 = 0. Suppose 4*x - 3*u = -8*u - 2835, -z = 3*x + u. Is (-3)\/9 + x\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express w**3 + 3 - 2 + 1 + w**2 in the form j*w + p*w**3 + c*w**2 + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and -4337.\nAnswer: -4334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 29\/(-1) - 9\/3. What is the tens digit of 86\/8 - 8\/g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((v + v - 4*v)*(4 + 0 - 3) - 110*v + 9*v + 9*v)*(-2 + 3 + 1) as s + j*v and give j.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + o + 30 = 0. Suppose -5*w + 20 = -o*i, i - 160 + 164 = 0. Factor 0*j + 1\/7*j**3 + w - 1\/7*j**2.\nAnswer: j**2*(j - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/3 - (-56)\/40)*180\/(-6)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -2 (b) -0.48 (c) 7 (d) -9 (e) 1\/2 (f) 11 (g) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/15 (b) -42 (c) -1 (d) 7 (e) 422 (f) -5 (g) 0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 40\/36961?\nAnswer: 40\/36961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -0*j + 2*v - 1, 0 = -4*v - 4. Suppose -4*o - 5*g + 39 = 0, 5*o - j*g - 27 = -2*g. Suppose 4*u + 5*i - 27 = -4, -2*i = -o. Solve -4*x + u = 6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 9*t + 36. Let o = 65 - 67. Let c be n(o). Calculate the greatest common divisor of c and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12638.414 + 12686. Round w to zero dps.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 2)*(-2*a + a + 4*a)*(-3 + 2*a + 3).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -7 (c) 16 (d) 1 (e) 0.3 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -217413149*a**4 - 87576849*a.\nAnswer: -2608957788*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of -23*n**8\/840 - n**4\/6 - 41*n**3\/6 - 5*n**2 - 3. Let p(f) be the first derivative of h(f). Differentiate p(o) wrt o.\nAnswer: -184*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-396)\/495)\/((-16)\/(-100)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 q, and 1 w when four letters picked without replacement from qywqfqw.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -488224899*j**2 - 386982930*j wrt j.\nAnswer: -976449798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 z when three letters picked without replacement from {b: 17, z: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 5*j**5 + 1605*j**4 + 68475*j**3 - 9652805*j**2 + 186714240*j - 177131520 = 0.\nAnswer: -192, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7337 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.2 - 0.8. Let w(g) = -2*g - 4. Let u be w(0). Which is the third biggest value? (a) 5 (b) q (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 0*r + 10 = 0. Solve 0 = -r*z - 5*k + 11, -4*z - 3*k = -k - 14 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307354 is divided by 10905?\nAnswer: 2014","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y*(y*(y**(2\/7)\/y)\/y)\/y)))\/y**(-3\/2) assuming y is positive.\nAnswer: y**(11\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (19 + -17 + -6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 4*j + 2. Let c be g(-4). Suppose -b - 1 = 0, -7*q + 10*q - 29 = 2*b. Suppose -c*l = l - q. Solve -l*v = 2*h - 15, 0*h + 4*v - 20 = 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 986 or 984?\nAnswer: 986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2, -118, -312, -584, -934?\n\"Answer: -39*i**2 + i + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 12:45 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2383026656, -2383026655, -2383026654?\n\"Answer: j - 2383026657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3352704 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: Put -0.2, 3, 30, -14 in ascending order.\nAnswer: -14, -0.2, 3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5*c - 6. Let p(a) = -12*a + 12. Let u(v) = -10*g(v) - 4*p(v). Suppose -3*m - 4*q + 47 = 0, 2*m - 4*q = -3 + 1. Determine u(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184629884 is divided by 192.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -11 - (-55440319)\/88 - (-3)\/8. Let n be (-2)\/(0 + -2) - (a - -8). Round n to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 30518 and 30516 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -478, -135.\nAnswer: -478, -135, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 3*s - 8*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, g: 3, u: 2, z: 1, f: 5}. Give prob of picking 1 g, 1 f, and 1 d.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8148 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-2))\/(5\/30). What is the highest common factor of 1 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17011865 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: Is 26 at most 891\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1144 = 17*q - 9*q. Suppose -4*u + q = -81. What is the remainder when u is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 + -183. Let y = w + 332. Suppose -4*d + 0*d + 5*r = -92, -5*d = -4*r - y. What are the prime factors of d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -t + 11. Suppose p + 5*j + 12 = -0*p, 18 = t*p - 4*j. Suppose -d = 4 - 6. Solve -p*l + 17 = 4*a, -l - 2*a + d = -7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29\/30 - -4\/5. What is the common denominator of g and -97\/78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11210 (base 3) to base 11\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -321 in 5, 1\/4, -4\/5, 4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**5 + 1497*u**4 + 33*u**3 - 16521*u**2 + 26970*u - 11976 = 0. What is u?\nAnswer: -4, 1, 2, 499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f - 1 + 237*f**2 - 184*f**2 - 50*f**2 + 373*f**3 as n*f**3 + g + r*f**2 + x*f and give n.\nAnswer: 373","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 22157176 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 + 26. Suppose -2*c + 2*u + 198 = -s*c, 5*u + 15 = 0. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/410 and 99\/20.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.49828 - 3.51. What is s rounded to three dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10564 is divided by 2629.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*o + 181*o + 4*r + 32 = 0, -7*o = -r - 32 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(7)*6 + sqrt(42)\/(sqrt(6) + sqrt(6) + -1*sqrt(6) + sqrt(6)) + sqrt(77)\/(sqrt(11) - sqrt(539)*-2).\nAnswer: -343*sqrt(7)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/(-10)*1\/((-1)\/(-10)). Let x be y*(-4 + 56\/12). Let n = 122 + -613\/5. What is the third biggest value in x, n, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -503*l + 78. Let x(o) = -754*o + 126. Give 8*q(z) - 5*x(z).\nAnswer: -254*z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119)*-1 - sqrt(119) - sqrt(119))*4)\/((sqrt(14) - sqrt(504))\/sqrt(2) + sqrt(7)) - (2 + 5*sqrt(2448)*-2 + -1)**2.\nAnswer: -244801 + 243*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -6*j**3 + 11*j**2 - 2*j + 4. Let x(b) = -14 - b**3 - 11 + 15 + b**2 + 11. Determine -f(s) + 4*x(s).\nAnswer: 2*s**3 - 7*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11.3168 - -0.0632. Let p = 10.539 - i. What is p rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(sqrt(8)*2) + 5 + 1 - (5 + ((sqrt(132)\/sqrt(4))\/sqrt(3) - (sqrt(11) - (sqrt(11) + (sqrt(132)\/sqrt(4))\/sqrt(3))))**2).\nAnswer: -43 + sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19128 and 820113?\nAnswer: 2391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/45 in -0.1, 5, -2\/5, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136967 + -4.\nAnswer: 136963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 10 - j**3 - 4*j + 5\/2*j**2. What is y(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -1d9394b?\nAnswer: 1d93949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2008522 is divided by 98?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d - 2*u + 22, -d - 4*u = -18 + 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 - 3.57. Let u = -0.03 + q. What is the second smallest value in 1\/3, u, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -0.1, -6\/11, 64 in descending order.\nAnswer: 64, 1\/3, -0.1, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y + 38. Let a be o(-12). Suppose 3*u - a*u = 2189. Suppose 2*h - u = 233. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 365 + -75333a?\nAnswer: -752a85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + (-11720)\/(-624) + (-62)\/(-372)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 3*d - 7. Let v be p(5). Suppose 3*t - 3*u - 27 = 0, -4*t + 6 = -u + 3*u. Let q = v - t. Let b(n) = -4*n. Calculate b(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 6*x = 3*x + 1, 0 = -3*x + 3. Suppose 5 - 1 = c*w. Let m(i) = 0 + 1 - 2*i + 4*i - 2*i**3 - 6*i**3 + i**w. What is m(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -n - 12. Let o be 215\/4 - n\/(-12). Let z = o + 103. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1341 + 48*b + 46*b + 47*b - 181*b + 41*b in the form v + c*b and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (145072\/32)\/((-3)\/(-6)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4544547 to the power of 1\/4, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -20. Which is smaller: a or 8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 105\/99*10032\/9576?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 q when two letters picked without replacement from {q: 7, k: 1, o: 2}.\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (24\/(-18))\/((-8)\/12). Let v(u) = -8*u - 66. Let y be v(-13). What is the highest common divisor of f and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.505552568 to 3 decimal places.\nAnswer: 0.506","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 109*h**3 - 2*h**2 + 8*h - 31. Let q be m(9). Suppose -26*k + 475606 - q = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of 0*c**2 - 1\/3*c**4 - 28*c + 0*c**3 + 0. Let s(m) = 3*m. Determine n(s(r)).\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -614*j - 351*j + 1108*j.\nAnswer: 143*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w = 6 - 156. Solve 15*c - w*c = 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 9 = -2*s. Suppose -4*a - 14 = -l, -5*l + l + s*a + 17 = 0. Solve 24 = -l*i - 3*i + p, 5*i = -p - 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 2*f**5\/65 + 11*f**4\/26 + 28*f**3\/39 - 44*f**2\/13 - 144*f\/13 - 8061. Solve s(o) = 0.\nAnswer: -9, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, c: 1, s: 1, o: 1, x: 1}. Give prob of sequence xo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1020 - -1033. Let d(t) = 4*t**2 - 3*t**2 + 0*t**2 + 28 - 15*t. Let c be d(r). Solve c*b - 3 = -b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/24 of a week?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96220 + v**3 + 96220 - 5*v**3.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 7) to base 9\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180 + 132 = 6*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 t when four letters picked without replacement from tgtghgghtghttggtgt?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-7)\/v*v*v*v**(-11\/2))\/(v**(-4))**(-4\/31))**(2\/23) assuming v is positive.\nAnswer: v**(-745\/713)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -300453.8899928 - -300454. Let l = 0.13 + -0.02. Let v = l - x. Round v to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354 is divided by 49?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 0.098, 1, 2 in increasing order.\nAnswer: 0.098, 2\/13, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -1 + (2 - 5) + 1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -d**5\/60 + 91*d**3\/6 - d**2 + 67. Let b(p) = 2*p. Determine v(b(f)).\nAnswer: -4*f**2 + 91","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 7 = -l, o - 5*l - 9 = 4*o. Let f be (3 + o\/(-1))*6. Solve -4*j = -f*j - 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 205 and -0.9?\nAnswer: -184.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -24333833795778 and -1.\nAnswer: -24333833795779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -7*a**3\/6 + a**2 + 4*a. Does 13 divide l(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3185641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9*177 + (-4 - 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -1, 1226 in descending order.\nAnswer: 1226, 7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 127*a**2 + a - 1. Give u(1).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 98, -1, 2, -11 in increasing order.\nAnswer: -11, -1, 2, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24334705 is divided by 149.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3b22 + 7?\nAnswer: 3b29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2. Let v(o) = -1473516 + 3727*o + 1473516. Determine g(v(k)).\nAnswer: 13890529*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x. Let m be ((-6)\/4)\/(27\/(-72)). Let g(s) = -s + 2. Let t be g(0). Let i(z) = -5*z**t + m*z**2 + z - z. What is i(h(a))?\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 100935947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 209087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71109171.\nAnswer: 3, 7, 83, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 359 - 224. What is the highest common divisor of 15 and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i - 1 - 67 - 6*i + 10 - 6*i in the form l + n*i and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241098 is divided by 570.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 326788 and 41426?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10\/3)\/(8\/(-24)). Let l = -8 - n. Let r(v) = -v**2 - 5*v + 7. Let t be r(-6). Is t at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from iusuuussisissis.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-16))\/(1515\/(-375720)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 6:11 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-4)*(2 + 2). Sort c, -1, 1\/11 in ascending order.\nAnswer: -1, 1\/11, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1312*i - 8802 = 20636 + 5986 for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i - 1. Let q(b) = 2*b - 11. Let j(w) = q(w) + 3*y(w). Let p(a) = 3*a**2 - 30*a + 77. Let v be p(4). Determine j(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25*((-80)\/25 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*x + 119*x = 6. Let i be -5*(x + (-164)\/20). Let s = i - 27. Let f(m) = m**3 - 6*m**2 + 5*m - 3. What is f(s)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(6\/4) - (25 + -36). Let k = 30 - o. Differentiate -39*t**2 + 18*t**2 + 21*t**2 + k - 11*t**3 wrt t.\nAnswer: -33*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 5*s + 7, k = 2*s + 2*s + 10. Let m be k*(-3)\/(-18)*15. Are -5 and m equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40 by 113.\nAnswer: -40\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0)**(9\/4)\/(x**1)**(3\/23) assuming x is positive.\nAnswer: x**(-3\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -21, -16, -11, -6?\n\"Answer: 5*a - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**3\/7 + 692*o**2\/7 - 664*o\/7 - 4128\/7 = 0.\nAnswer: -2, 3, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 132302288*m + 63764680 wrt m.\nAnswer: 132302288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-18)*v**(-9)*v**12*v*v**(-2) assuming v is positive.\nAnswer: v**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, 52972, -1, -15 in increasing order.\nAnswer: -15, -1, 33, 52972","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**1*b**(-2)*(b*b**(-1))**6 assuming b is positive.\nAnswer: 1\/b","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -1, -3, 2\/15 in decreasing order.\nAnswer: 2\/15, -0.2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101 - 1210?\nAnswer: -1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 8*p - 45. Let m(l) = -81*l + 453. Let i(a) = 21*d(a) + 2*m(a). Calculate i(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 452986 + 352948 = 3388*l + 7503*l for l.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*k = -12570 + 13513 for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12861 and 72879.\nAnswer: 218637","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 7:28 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13991*d**3*k**3 + d**3*k - 22*d**2*k**3 + 58*d*k**3 - 11*d*k + 329*k**2 wrt d.\nAnswer: 83946*d*k**3 + 6*d*k - 44*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 31*c - 1. Suppose 5*z + 2 = 2*x, 0 = -3*x - 5*z - 3 - 19. Let m be -5*x\/(-20)*-1. Is 10 a factor of b(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2 times 109.155?\nAnswer: 130.986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 15*i - 1. Calculate t(4).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5355*b**3*c**2 - 4*b**2*c**2 + 2*b - 427607*c**2 wrt b.\nAnswer: 16065*b**2*c**2 - 8*b*c**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 4, -3*o + 2*m = -828 - 218. Let q be 5 + (o\/(-90) - 1). Let i be 2\/(-3)*9\/(-6). What is the closest to -1 in q, -2\/3, i?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*x**3 + 30*x + 1128.\nAnswer: 39*x**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 92345348*l**2. Let i(r) = 3*r. Calculate d(i(f)).\nAnswer: 831108132*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 486 = -5*b. Is b a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 16) in base 11?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(192) - (-1*sqrt(192) + 5)) + 5)**2.\nAnswer: -160*sqrt(3) + 793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2 - 5 = -i, -3 = -3*j. Let k(z) = -108*z - 3. Let g be k(-2). Suppose g = i*t + t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169516219189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of q**8\/168 + 2*q**7\/35 + 13*q**6\/60 + 2*q**5\/5 + q**4\/3 + 31*q**2. Solve c(t) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 3*b - 8. Suppose 15 = -3*x - 58*l + 54*l, 0 = 5*x - l + 2. What is the closest to 12\/23 in b, x, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/7340 or 0?\nAnswer: -1\/7340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -16*b**2 - 24. Let h(v) = v**2 + 1. What is 24*h(r) + w(r)?\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express n**4 + n**4 + n**4 + (4*n - 2748 + 2748)*(-1 + 1 - n**3) as q + o*n + c*n**4 + a*n**3 + r*n**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 - 17. Let d = 25 - l. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 4*r + r - 136, 2*p + 3*r - 66 = 0. Suppose 137 = 11*l - p. Solve 3*v = 7*v - l for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(2\/5)*w)\/w)\/w)**(-29)*(w**0*w)**4 assuming w is positive.\nAnswer: w**(107\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 424 divide 135756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -32*a + 159. Let f be p(4). Suppose f - 167 = -17*j. Solve 0 = -5*w - 18 + j for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 c when three letters picked without replacement from {c: 3, u: 1, v: 2, j: 4}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 5*o**4 - 4 - 3*o**4 + o**2 + (o**2 - 3 + 3)*(4 - 4 + o**2) to l*o**4 + k*o**2 + a*o + n + h*o**3 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 101, -4, 16 in decreasing order.\nAnswer: 101, 16, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/45*3\/10?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 479898*h**5 - 30959*h + 1 wrt h.\nAnswer: 9597960*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-4*(-3*(-1 + 1*sqrt(11)) + -1*sqrt(704) + sqrt(704) + sqrt(11) + -3 + sqrt(11)*-1 + sqrt(11)))**2.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 7486\/627)*-12.\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 - 114*f**2 + 753*f + 870.\nAnswer: 3*(f - 29)*(f - 10)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -7.9, -25, 1\/6 in descending order.\nAnswer: 1\/6, 0, -7.9, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -84.6851 to 1 dp.\nAnswer: -84.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(91) + -2*sqrt(91)*3)\/sqrt(7))*-2)**2 + 5*sqrt(156)\/(-2*(1*sqrt(12) + sqrt(12)))*2.\nAnswer: 75*sqrt(13)\/2 + 1304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 364.3 + -364. Let g = 4.21 + -0.21. Which is the biggest value? (a) i (b) g (c) -1\/2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -83835643.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(7) + 5 + -5.\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5\/2))**(-20\/7)*(h*h**(-19))\/(h*h**(1\/8)) assuming h is positive.\nAnswer: h**(-671\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x - 37. Let v be o(21). Solve 0 = 2*q + 3 - v for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(84\/35))\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -102 + 104. Let w = -3.71 + 0.71. Which is the third biggest value? (a) w (b) 0.5 (c) -1 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, r: 5, w: 1, t: 1}. Give prob of sequence nnw.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2122 + 232?\nAnswer: 3020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t = -20*t - t - 190 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1115 (base 8) to base 12\nAnswer: -411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 674271?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 210, -3, 0.2, -1\/37?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-8) - 21\/(-2). Calculate the greatest common factor of k and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14581?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 7:52 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1024704 rounded to the nearest 1000?\nAnswer: -1025000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -2*z**3\/3 + 4*z + 604. Let r = -88 + 84. Let p(s) = 6*s**2 - 13. Determine r*p(a) - 11*w(a).\nAnswer: -2*a**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 w when four letters picked without replacement from kwwvkwwvwwkeewvkwwv.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/5*60\/630?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -100101 (base 2) to base 14\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/66*(-4)\/(-40)*5*-12?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 + 33 - 50 - -33) + -126.\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (3 - 4 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 102, 110, 118, 126?\n\"Answer: 8*c + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -33344.36 and -346?\nAnswer: 32998.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(85) - (sqrt(85) - (-3*sqrt(85) - sqrt(85)))))\/(1*3*sqrt(5) - sqrt(5)) + 3)*-5 + -5.\nAnswer: -20 + 50*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2695760 by -10.\nAnswer: -269576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b - 40 + b + 40. Suppose h + 1 = -3. Let y(x) = -4*x**2 + 2. Let f(s) = 21*s**2 - 11. Let u(p) = h*f(p) - 22*y(p). What is u(g(a))?\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56462 by 5.\nAnswer: -56462\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 4, 2, 3 in increasing order.\nAnswer: -5, -1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + p - 2. Let d = -4 + 6. Let i be f(d). Let b(x) be the second derivative of x**4\/12 - 5*x**3\/6 + 2*x**2 - x. What is b(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249.21 plus 12379941?\nAnswer: 12380190.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6665 (base 10) in base 16?\nAnswer: 1a09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2326617643.\nAnswer: 7, 251, 1324199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 10, 139 - 4 = 5*z + 2*t. What is the closest to 0.1 in -4\/7, z, 0, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -0.05, -318, -0.421, 3, 6?\nAnswer: -0.421","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 80615.81 days in hours?\nAnswer: 1934779.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -16 - (-4 + 6 + -4 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63 - 101*a - 94*a + 196*a)*(-5 - 26 - 9)*(-5*a**3 + 3*a**3 + 3*a**3) - a**4 + a**3 - a**3 - 2*a**4 + a**4 + 2*a**4 + (1 - 1 + a**2)*(0 + 2*a**2 + 0).\nAnswer: -38*a**4 + 2520*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b**3 + 16*b**2 - 126*b + 831. Let a be h(6). Factor -2\/3*n**2 - 8\/3 + 2\/3*n**4 + 16\/3*n - 10\/3*n**a + 2\/3*n**5.\nAnswer: 2*(n - 1)**3*(n + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v - 4 = 20*v. Let g be 1\/(-1) - v - 1. Suppose -2*t = 3*a - 0*t - 126, -a + g*t = -34. Is a a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2974 and 4?\nAnswer: 5948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 50 * 0.005\nAnswer: 0.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + 2*sqrt(243)*2 + 0 + sqrt(243) + sqrt(243) + -3)**2.\nAnswer: -378*sqrt(3) + 11916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v + 0*v + 11*v + 19*v**2 + 5*v**3 - 26*v**2.\nAnswer: 5*v**3 - 7*v**2 + 18*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -75, -162, -283, -438?\nAnswer: -627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-42)\/9)\/(-7)*6. Suppose -2*z + 32 = -5*z - o*l, 5*z + 40 = -4*l. Is ((-156)\/(-4))\/((-2)\/z) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -477 - -483. What is the fourth biggest value in -7, t, -2, 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n. Let d(b) = 4*b - 2*b - 6*b + 0*b. Determine d(p(x)).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 923\/2 - 3709\/8. What is the common denominator of (1\/6)\/((-2)\/(-178)) and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 975863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**2\/c)**(9\/5)*(c**(-2\/17)*c)\/c**5)**(1\/7) assuming c is positive.\nAnswer: c**(-197\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-6)*(-2 + 3)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z + 2. Suppose -7*t = -34 + 6. Calculate d(t).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - q + 5. Let x be a(0). Let p = 764 + -761. Let y be (-2 - 2\/2) + 7. Solve -16 = 4*b - 3*b + p*o, y*b - 21 = x*o for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*c = 2, 2*m + 10 = 3*c - 2*c. Let v(h) be the third derivative of h**4\/8 + 3*h**3\/2 + 6*h**2. Calculate v(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14631 smaller than -14686?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(1584) + 1 - sqrt(1584)) + sqrt(1584) - sqrt(1584))**2 - (sqrt(1584) + -1 + sqrt(1584))*-1.\nAnswer: 24 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 176 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 5*h**3\/3 - h + 2. Let z be d(-1). Is -58*z\/24*-21 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 3 (b) 15 (c) -119\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 13 - 10. Suppose 0 = -2*c - 10, g*c + 18 = z - c. What is the second smallest value in -6, z, 13?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.061 - -2.061. What is the biggest value in -13\/4, -6, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 2*a - 5*j + 12, 4*j = 2*a + 18. Let i be a\/(18\/3)*-2. Calculate the highest common factor of i and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 354993?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 657\nAnswer: 2\/219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 1100 - 1096 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4*f = 20, n - 5*n - 2*f = 16. Is 1 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -5*x + 89. Let h be m(15). Let d be 206\/721 + 24\/h. Factor 9\/4 + 3\/8*y**d + 15\/8*y.\nAnswer: 3*(y + 2)*(y + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*z + 14*z - 117. Suppose -c - 11 = -6*c - l, z*l - 11 = -4*c. Solve 5*i + 4*b = -29, c*i - b - 4*b + 5 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17315776 to the power of 1\/3, to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 6\/7 and -140 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6539730*z**3 - 1205651 wrt z?\nAnswer: 19619190*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 667 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-2)*(-16)\/(-3). Suppose -2*v + 11*v = -t*v. Suppose 3*j + 4 = 5*j. Solve -j*i + 2*x + x + 8 = v, 3*x - 8 = -2*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.79129, 452 in descending order.\nAnswer: 452, 0.79129, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -794 + 992. What is the least common multiple of h and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/10 + ((-28)\/(-8))\/1. Suppose 0 = -2*t + g + 6, -f*g = -2*t + t + 10. Factor -1\/2*h**t + 1 - 1\/2*h.\nAnswer: -(h - 1)*(h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30553397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-168 - 137*h + 168)*(0*h**3 + 2 + 0 - 2*h**3) in the form i + j*h**2 + y*h + c*h**4 + q*h**3 and give c.\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 220030976.9186602 - 90031664.918655. Let d = i + -129999269. Let z = 43 - d. Round z to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -2\/9244387?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*t**4\/7 + 6960*t**3\/7 + 56184*t**2\/7 + 91968*t\/7 + 11280\/7 = 0 for t.\nAnswer: -94\/5, -10, -2, -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)*-1 - sqrt(102))\/sqrt(6) + (sqrt(17) + sqrt(17)*2)*-2)**2 + ((1*sqrt(85)*-4)\/sqrt(5))**2.\nAnswer: 1360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1044215?\nAnswer: 5, 208843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -43*b**3 - b**2 + 6*b + 3. Suppose -3*r = -12 - 3. Suppose -5*j = -3*t + 19, 2*t - 5*t = r*j + 1. Is v(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22212 + 44521. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 10*y = -6*y + 33742, -c = -4*y - 16859. What is the thousands digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of b**3\/2 - 6*b**2 + 5*b. Let n be y(9). Let t = n + -6. Solve 4*m = 5*u - u + 4, -m + t = -5*u for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2231*n + 5133?\nAnswer: -2231","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/1253874 and 17\/1431?\nAnswer: 11284866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 141 + 0?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 450 = -8*c. Let q = c - -685. Is 1\/1*q - (-2 - -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i + 2. Let t be z(0). Let v = t - 2. Suppose 2*x = 2*r + 10, -2*x - r = -6*r - 13. What is the third smallest value in 0.5, x, v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of g**4\/2 + 5*g**3 - 11*g**2. Find the first derivative of s(q) wrt q.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 565 a factor of 20504806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -41 (b) 10 (c) -5 (d) 27.35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 257126 or 3?\nAnswer: 257126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -4\/7*y**2 + 32\/7 + 8\/7*y = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4728*a + 8188 wrt a.\nAnswer: -4728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**4 - 7 + 7 + (-3*s**3 + 8 - 8)*(-s + 2*s + s) - 16*s**4 - 6*s**4 + s**4 as z*s**4 + m*s**2 + f*s**3 + b + k*s and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41529809 is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of 1469*x**6\/60 - 89*x**5\/12 - x**3\/2 - 39*x**2 + 49*x + 2. What is the third derivative of m(z) wrt z?\nAnswer: 17628","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 + 129440*k + 258888.\nAnswer: -2*(k - 64722)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: d1994 (base 14) to base 3\nAnswer: 221121102101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 303 - 2?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*p - 1265 = 20*p + 14*p for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8723430 times 0.17?\nAnswer: 1482983.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 + -15. Suppose 2*m - q = -4. Suppose 0*t + 75 = 5*t + m*d, -3*d = 6. Is 16 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 16) in base 3?\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 347410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f*f**(-19)*f)\/(f*f**(5\/6)))\/(f**5\/f**(-1\/12)) assuming f is positive.\nAnswer: f**(-263\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - 3*-1*sqrt(11))*3 - (sqrt(891) + -2 + -4).\nAnswer: 6 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 14*z**2 + z - 14. Let m be x(14). Suppose 5*l = 2*h + 3*h + 10, -l - 4*h + 22 = m. List the prime factors of 1102\/l - (-32)\/(-48).\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 117 + -79. Does 2 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -5 (b) -3192 (c) -1 (d) 2 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2*s - 3 = 0, x = -2*s + 2 + 5. Which is the closest to 0.2? (a) x (b) -2\/5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 12*r**2 + r - 1. What is the smallest common multiple of 11 and w(12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -12*g - 34. What is the smallest common multiple of 5 and h(-7)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/55, 23, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3938 is divided by 314?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -14. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 3:03 PM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/4 + 4 + -1)*6\/3. Suppose -6\/7*u + 12\/7*u**2 + 6\/7*u**x - 12\/7 = 0. What is u?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 951036*o**2 - 99472*o?\nAnswer: 1902072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29881?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 9*c**2 + c**2 + 43 + 7*c**2 + 45 + 2*c - 83. Is s(2) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1102021 + 1102?\nAnswer: 1110200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 108\/48 + 1\/(-4). Suppose -5*l - 5*j + 18 = -2, b*l = 3*j + 18. Solve -w = -l*w + 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1082, -4318, -9710, -17258, -26962?\n\"Answer: -1078*r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 2:44 AM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2001 + 2006. Solve -5*d + j*u = 25, -2*d + 7 - 16 = -u for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2044 - -0.2.\nAnswer: 2044.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 34*s - 9. Let x(u) = -11*u + 3. Calculate -2*p(i) - 7*x(i).\nAnswer: 9*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1599.36 times -0.3\nAnswer: -479.808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 0. Suppose p = x - 42 + 6. Does 12 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u + 74. Let s be c(14). What is the greatest common divisor of s and 174?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**2 - 33*s + 17. Let c be (0 - 3\/6)\/((-3)\/30). Let m be o(c). Put m, -1\/5, -1\/6 in ascending order.\nAnswer: m, -1\/5, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 7:12 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -64489, -128906, -193337, -257788, -322265?\n\"Answer: -n**3 - n**2 - 64407*n - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (259\/((-49210)\/855))\/(135\/(-42))?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 25\/(-210)*1832\/60. Let u = t - -27\/7. Let i = 26\/9 - 25\/18. What is the nearest to i in u, -3, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/4))**(-21)\/(g\/(g*g**(-2\/3)*g))**(-25)*((g**(-1))**(-1))**(-34) assuming g is positive.\nAnswer: g**(-445\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = s - 2*x - 8, 0 = -s - 5*x + 28. Suppose -q + 6*b - b + 11 = 0, 7 = s*q - 2*b. What is the greatest common divisor of q and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y + 8*y - 4. Let u be -3*-1*3*y\/12. Suppose -2*r - 3*z - 2*z = -158, u*z = -5*r + 376. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yro when three letters picked without replacement from {y: 1, k: 2, r: 1, o: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.0578 (b) 3\/2 (c) -114 (d) 0.2 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -989*i**5\/12 + i**4\/12 + 635*i**3\/6 - 1289*i**2 + 2*i. Find the first derivative of k(n) wrt n.\nAnswer: -9890*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 796805447?\nAnswer: 1373, 580339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(315)\/sqrt(7)*-1.\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2085 + -2081. Calculate the greatest common divisor of w and 240.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 9*b**2 - 5*b - 17. Is p(10) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 243 = 3*m + u, 213 = 3*m - 3*u. Calculate the greatest common divisor of 19 and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 84646515 and 84646515 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*q - 22. Is 9 a factor of 74 - (5 - q) - 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58809209347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of 4141*d**5\/10 - d**4\/4 + d**3\/6 - 2*d**2 + 3*d. Let p be s(4). What is p rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 28*k**2 - 111*k - 138. Determine z(-24).\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 6*o**2 - o - 2*o**2 + 6*o**2 - 5*o**2. Let n be a(1). Suppose x = -5*l + 1, n = 2*x - 2*l + 2. Solve 2*i = x + 3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 90.4 + -92. Round d to zero decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 9*i**2 + 9*i + 2. Let k be r(-6). Let f = 3065 + -3058. What is the highest common divisor of f and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/140 and 55\/224?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 - -216. What are the prime factors of b?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/22 - (-3)\/((-198)\/(-15522)). Let k = n - 79. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*z = 0, 0 = -5*q + 2*z - 28 - 4. Let n be (-3)\/12 - 802\/q. Suppose -4*f - f = -n. What is the greatest common divisor of f and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 750623?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18.1 + 55.1. Let r = 37.3 - x. Put 4, 3, 5, r in decreasing order.\nAnswer: 5, 4, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2258 + -423. What is the hundreds digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*s = -357*s - 245*s + 86526. What is the greatest common factor of s and 2806?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-4\/11)*b\/(b\/b**5)*b*(b**(1\/3)\/b*b)**(-4\/7)*(((b**(-2)*b)\/b)\/b**(-4))**(-1\/5) assuming b is positive.\nAnswer: b**(5828\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, n: 1, h: 1, w: 1, y: 1, c: 2}. What is prob of sequence nhw?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -153*o**3 + 126*o**2 - 21*o - 6. Let l be (-1)\/3 - (-4)\/(-6). Let a(y) = -2 + 0 + 3 - y + y**3. Let x(b) = l*g(b) - 6*a(b). Factor x(j).\nAnswer: 3*j*(7*j - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*c**2 - 434964 + 434962 + 29*c - 76*c**3 + 10*c**2 to the form a*c**2 + q*c**3 + m*c + j and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 6.6. Suppose -b = b. Suppose b = -3*l + 2*l. What is the closest to l in 3, h, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 + 5)*(3 - 2 + 0)*(0*x**2 - 8441820 + 8440614 - x**2) to the form g*x + c + n*x**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -6*j**2 + 1\/280*j**7 + 1\/80*j**6 + 0*j**3 + 1\/80*j**5 + 0*j + 0 + 0*j**4. Let h(q) = 0. Calculate q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -h**6\/300 + 251*h**5\/150 - 15367*h**4\/60 - 16129*h**3\/5 - 158*h**2. Factor s(y).\nAnswer: -2*(y - 127)**2*(y + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -25.\nAnswer: -25, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/22599 in 0.2, -3, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-4))\/(13\/52).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 80\/56 - 3\/7. Let t be (-1)\/y + 2\/2. Let p be t\/(-2) - (-2)\/(-4). What is the biggest value in 2\/11, -2, p?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 13) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 17 - 10*z**2 + 2*z**3 + 6*z**2 + 4*z**2. Let o(i) be the second derivative of -5*i**4\/12 + i. Give 7*o(g) + 6*q(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1297 to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -21*f + 5. Let d(l) = 0 - 4*l + 0 + 4 - 3. Suppose 5*t - 52 = 3*z - 12, 25 = 5*z. What is t*d(w) - 2*v(w)?\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 7*q - 2. Let o be b(-6). Let f be 3 + -1 + 7 - -2. Let u = f - 18. Is u <= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19405 - -19597. Let x be (-2)\/7 + (-25)\/35. Let u = x - -40. Calculate the remainder when v is divided by u.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y + 2. Suppose b = -b + 10. Let t(w) = w - 1. Suppose -4 = -4*c - 0. Let n(f) = b*t(f) + c*m(f). What is the derivative of n(p) wrt p?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q**3 - 3*q**2 - 2*q - 2. Let v(j) = -j**3 - 4*j**2 + 8*j**3 - 3*j - 3 - 2*j**2. Let z(x) = 5*i(x) - 3*v(x). Determine z(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -1 + -19 + -3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 683*j + 4121. Let a be r(-6). What is the greatest common factor of 33419 and a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(637))**2*-3.\nAnswer: -1914 + 42*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 43*d**2 - 135*d + 157. Let p be v(-46). Solve -p*r + 16 = 130 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3815 take away -36684955?\nAnswer: 36688770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85, -84, -77, -58, -21, 40?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -20*s**3\/3 - 15*s**2 - 42*s. Let l be o(-3). Let n = l - -120. List the prime factors of n.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 1.911\nAnswer: -1.911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 761976078*o**2 + 951021524*o wrt o?\nAnswer: 1523952156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*v - 5*y, 39 = 16*y + 7 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2\/9629 (b) 1\/4 (c) -1\/3 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 196 + -44. Let i be 17\/(-51) + c\/(-3). What is i rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*n**6 + 47*n**5 + 33*n**4 + 7*n**2 - 5*n + 30455 wrt n.\nAnswer: -1920*n**3 + 2820*n**2 + 792*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from pdxdppxddxddxdpdx.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-231)\/27 - 0 - (18\/(-8) + (-2970)\/792)?\nAnswer: -23\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mfxnxxv. Give prob of sequence nxfx.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/5548 (b) 4 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of 0*k**5 - 259*k**2 + 2\/105*k**7 + 1\/15*k**6 + 0*k + 1\/672*k**8 + 0*k**4 + 0*k**3 + 0. Factor r(p).\nAnswer: p**3*(p + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 4120 + 5644. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -416.0562 times -3?\nAnswer: 1248.1686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -41*c**3 + 10*c**2 - 5*c - 1. Calculate u(3).\nAnswer: -1033","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3aa6 (base 13) to base 10.\nAnswer: -8417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k. Let g(i) be the third derivative of -i**5\/60 + i**4\/8 + 8*i**3\/3 + 3*i**2 - 32*i. Determine o(g(c)).\nAnswer: -c**2 + 3*c + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -9*o + 4*o. Let q be -1 + (1 - o) + 4. Suppose q*p - 342 = -2*p + 2*b, 4*b + 20 = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - -3. Let h(o) be the third derivative of -7*o**4\/24 + o**3 + 2*o**2. Let n(g) = -20*g + 17. Suppose 6*l + 51 = 3*l. Calculate l*h(k) + m*n(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 942 is divided by 56?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 158 = 10. Calculate the greatest common divisor of i and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**2\/6 - 870438*o - 1136493467766 = 0. Calculate o.\nAnswer: -2611314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 67 + 81 + (-56 - 13)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*b + 44 + 46 = -246 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -286 times -0.2?\nAnswer: 57.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -339\/7? (a) -0.2 (b) -3 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 6:09 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3841*k + 3817*k + 384 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3804236 - 16?\nAnswer: -3804250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4906\/(-55) + (-9 - -3). Let o = m + 95. Let q be -4*(2 - (-177)\/(-84)). What is the third biggest value in -0.6, q, o, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020454 (base 6) in base 3?\nAnswer: 2111210121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 73 and 8548373?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + 2*v + v)*(-2 + 3 + 0) + (-2 + 2 - 2*v)*(-160 - 214 + 40).\nAnswer: 666*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3993, 7960, 11925, 15888, 19849, 23808?\n\"Answer: -l**2 + 3970*l + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -317 at least 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -15*z**4 - 2889*z**3 + 261798*z**2 - 1560636*z + 582552 = 0.\nAnswer: -261, 2\/5, 6, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00018499 to five decimal places.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/(-6) + 11181280\/672 - 1\/7 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -221.982 - -222. Let q = n + -0.078. Which is the closest to 0.1? (a) q (b) -0.4 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 261645 - -1262?\nAnswer: 263127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4699 + -4695. Solve -5*x + v*q = 13, 6*q = 9*q - 6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -5*w**2 - 11*w. Let b(u) = -3*u**2 - 6*u. Let r(m) = 11*b(m) - 6*f(m). Let v(i) = -33*i - 26*i - 41*i - 13*i + 76*i. Determine v(r(k)).\nAnswer: 111*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -2937 and -0.416.\nAnswer: -2937.416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-27)*(297\/(-22))\/(-9)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 273 + -446. Let u = j - -229. Suppose 0*k + 5*k - 70 = 0. Calculate the greatest common factor of k and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j - 13*j + 2248*p = 2251*p + 55, 0 = -5*j - 7*p - 114 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0*s = 0. Suppose 31*j - 29*j - 236 = s. What is the smallest common multiple of j and 4?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 2:04 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 - (-164 + 94 + 83)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 426858244 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -15. Find the second derivative of -3*m**4 - 11*m**s + 0*m + 9*m**4 + 5*m wrt m.\nAnswer: -60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 334396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 337005 (base 9) to base 4\nAnswer: 301103102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-12)*(1 + 7\/(-5))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 168*n - 171*n, 5*j = n - 4743. Which is smaller: -946 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212040330 (base 5) to base 11.\nAnswer: 5600a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 19318, 76954, 172910, 307180, 479758?\n\"Answer: -h**3 + 19166*h**2 + 145*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5\/6 + (-12690)\/(-324) and 44?\nAnswer: 440","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 {u: 1, j: 1, f: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirty-one fifths of a tonne?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 + 35 + 44 - 86 - a in the form u*a + j*a**2 + o and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 - 176*u**2 - 1284*u + 14904.\nAnswer: -4*(u - 6)*(u + 23)*(u + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15570313, 31140633, 46710953?\nAnswer: 62281273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 11*a + 14. Let z be f(-11). Suppose -h + z = -n + 4*h, 14 = 5*n - 4*h. Is n\/14 - 15900\/(-42) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 8*y**2 - 12*y + 25. Let c(q) = -10*q**3 - q**2 + 2*q + 2. Let u be c(-1). What is the tens digit of t(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -88520 to the nearest 1000.\nAnswer: -89000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and 1124181010636.\nAnswer: 1124181010632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 168781, 168780, 168779, 168778?\n\"Answer: -y + 168782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of v**4\/8 - 4*v**3\/3 + 5*v**2 - 8*v + 3707. Find k such that o(k) = 0.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 72*p - 92*p - 200 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m**5\/20 - m**3\/6 + m**2\/2 + 144*m. Let f(j) = -6*j**3 + 12*j - 10. Calculate -f(b) - 12*p(b).\nAnswer: -6*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**2 - 12894*t - 13854603 = 0 for t.\nAnswer: -2149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-24)*-6*1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuu. Give prob of picking 3 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m**3 + 70406360*m**2 - 140812705*m + 70406350 = 0. What is m?\nAnswer: 1, 14081270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2401.4553 months to decades.\nAnswer: 20.0121275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 52*y**2 + 160*y + 281. What is k(55)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1849*-8\nAnswer: 14792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164*o - 364 = -190*o. Solve -4*b = -3*t + 23, 3*b - o = 6*b + t for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 1. Let n(g) = 10*g**2 - 5*g - 55. Let k(w) = -5*w**2 + 2*w + 23. Let z(d) = 5*k(d) + 2*n(d). Determine -25*q(y) - 4*z(y).\nAnswer: -5*y**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 369496088 to the nearest integer?\nAnswer: 19222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 10*w. Let r be p(2). Let a be 1*(-2)\/(-1) + -5. Let o be 10\/(-3)*a\/2. Solve -4*x = -0*x - r, 20 = -o*t - x for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1344808259?\nAnswer: 977, 1376467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 3:58 PM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-76)\/12 - -8 - 3756\/(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 + l**2 + 2*l**2)*(l**3 - 4*l**2 + 4*l**2 + (4*l + l**2 - 4*l)*(4*l - 4*l + l)) + 5801*l**4 - 5801*l**4 - 45*l**5.\nAnswer: -41*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3334447 and 3453?\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 6*b + 5)*(-3*b**2 + 3*b**2 - 2*b**2).\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 57*t - 52. Let y be g(0). Does y = -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 107, 38.8, -0.7, 1?\nAnswer: 38.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 529782*a**2*p**2 + 3*a*p**2 + 36*a*p - 7*a + 12*p - 1 wrt a.\nAnswer: 1059564*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 9:15 AM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -9638.449 to the nearest 10.\nAnswer: -9640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - j**2 + 3*j - 1. Let k(p) = p**3 - 12*p**2 - 23*p + 35. Let v(y) = -k(y) - 2*u(y). Is v(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26912258213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = k - 2*k, 2*k + 100 = 3*z. Calculate the greatest common divisor of z and 330.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 1.2 (c) -544\/1311\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -943*h + 3*y + 153 = -940*h, -4*h + 3*y + 202 = 0. Let f(b) = b**3 - b**2 + 390. What is the remainder when f(0) is divided by h?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h - 78 = 5*c, -56 + 6 = 5*c for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/((-3)\/((-36)\/(-3))*-4). Suppose h = 3*o + o. Suppose 0*b - b - 4 = o. Put -5, -2, b in ascending order.\nAnswer: -5, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-61)\/(-1) - (8 - 5) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (752\/(-168)*6)\/(56\/588*-3)?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z - 4. Let l(a) = 1. Determine 5*l(y) + n(y).\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of m**6\/480 - m**5\/80 + m**4\/32 - m**3\/24 + 8*m**2. Let x(y) = 0. Calculate y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 - 26. Which is the nearest to h? (a) 18 (b) -2\/15 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of h**6\/40 + h**5\/60 + h**4\/12 + h**3\/2 + 8*h**2. What are the prime factors of l(4)?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -10 + (0 - -2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 2*a**2 + 3*a**3 - 2 - 5*a**2 + 3*a. What is the remainder when 64 is divided by v(3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26904)\/(-228) - 158 - (-18)\/(-2)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 6*a**2 - 3*a - 2. Let h be p(-1). Let l(i) = 2*i - 1. Give l(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 5*s - 35, 0*m + 15 = m + 5*s. Let i = m - 12. Solve 0 = 2*y - 0*y - i for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 25*g**2 + 32*g - 334. What is b(20)?\nAnswer: 2306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 694 - 690. Which is the closest to -0.5? (a) 1\/5 (b) m (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 4*y - 62, 5*y + 24 = -17*v + 18*v. Solve 101*j - 94*j = v for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -46, -73, -106, -145?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 3:03 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 0*j - 184. Let p = 68159\/3 - 22812. Which is smaller: p or j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 265 divide 840465520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 + 7*d**3 + 290*d - 3*d**3 - 260*d)*(-2 + 2*d + 2).\nAnswer: 8*d**4 - 4*d**3 + 60*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (564\/(-88) + 0)*(-12)\/17. Let o = 97\/17 - j. Find the common denominator of o and -64\/21.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v. What is the units digit of q(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 6:56 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 v, and 1 i when three letters picked without replacement from iifvoofq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -274843 (base 12) in base 9?\nAnswer: -1201816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 1241*j**4\/2 + 204*j**3 + j + 1235. Find the third derivative of a(n) wrt n.\nAnswer: 14892","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 6:25 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 8\/16*4\/(-3)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -21 (b) -2\/7 (c) -1 (d) -2\/5 (e) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from mnmnmm.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148960 is divided by 1215.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1784 + -12484\/7. Let u = -5 + 7. Let m = u - 0. Which is the second biggest value? (a) -0.1 (b) -0.3 (c) n (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 8401*b + 0 + 8402*b - 31*b**2 + (3*b**2 + 3*b**2 - 5*b**2)*(-3 + 4 + 0).\nAnswer: -30*b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/(286\/4)*11)\/(2560\/(-32)).\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.030280543 to 5 decimal places.\nAnswer: -0.03028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 5*t - 37, 8*t + 5835*z - 5834*z - 16 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (6*4\/(-30))\/(8\/(-20))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*f = 4*q + 17, 4*f - 13 = q. Which is smaller: -60\/11 or q?\nAnswer: -60\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence izy when three letters picked without replacement from {i: 1, y: 1, z: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 13 = h + 4*h, 4*h + 20 = 4*o. Let v(p) = -p + p + 2*p**2. Let i(a) = a**2. Let m(d) = o*v(d) - 7*i(d). Let x(b) = 4*b. What is x(m(c))?\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.49*-3.\nAnswer: 1.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.05 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14953 - -18188. Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*b - 13 - 5 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10210413 - -3?\nAnswer: -10210410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five quarters of a microgram in nanograms?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 96.40164 kilograms?\nAnswer: 96401640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3 = 0, -2*g - 2*l + 19 = 3*g. Solve 2*y + 4 = 0, -g*j - 4 = -2*j + 5*y for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*t - 2465*t**3 + 2465*t**3 + 8*t**5 wrt t?\nAnswer: 160*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*a - 4 = -139*a, -4*a = -5*h + 51013. What are the prime factors of h?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1247, -4941, -11149, -19913, -31275, -45277, -61961?\n\"Answer: -7*t**3 - 1215*t**2 - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 + (-11 - 14) + (-13 + 14 - (6 + 1))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + a - 1. Let h be t(-1). Suppose -4*k = -5*l + 21, -5*l + 23 = -2*k - 0*k. Which is bigger: k or h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 5*l**2 + 34*l + 14. Let r be p(-10). Solve -165*f = -r*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 99659 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*b - 632*b**2 + 626*b**2 + 9*b.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4500 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2518.9*-0.06\nAnswer: 151.134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1040280 and 156.\nAnswer: 13523640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 1, 50, -11, 8, -4\/3?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 182 and 260.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 6*w**2 - 6. Let f be (9\/(-18) + (-1)\/(-2))*-1. Suppose -x - 4*x - 30 = f. What is q(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -4. What is the third smallest value in -8, 2\/5, l?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h - c - 4, 20 = -557*h + 555*h - 5*c for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176)*-4 - sqrt(176))\/sqrt(11))\/(sqrt(48)\/sqrt(6)*-4)*-6.\nAnswer: -15*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -603 + -20506?\nAnswer: -21311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -156*v**3 - 66. Let k(p) = 2*p**3 + 1. Calculate 264*k(r) + 4*s(r).\nAnswer: -96*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -401611 and 326474.11.\nAnswer: -75136.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 166467857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 13 - (0 - 4 - -9) - -8?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15075 is divided by 3165?\nAnswer: 2415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30542, 59428, 88316, 117206, 146098?\nAnswer: 174992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqiiiqqqqiiqqq. Give prob of picking 2 q.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 156 - 3?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7138.962 - 7154. Round q to one decimal place.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**0*y*y**(2\/5))**(-37) assuming y is positive.\nAnswer: y**(-444\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(3\/2)\/x)\/x**(1\/6))\/(x**1)**2 assuming x is positive.\nAnswer: x**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.61, -2, 0.58, -6\/5, 0.3 in decreasing order.\nAnswer: 0.58, 0.3, -6\/5, -1.61, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -936 divided by -1?\nAnswer: 936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 255, -0.2, -2\/11, 8\/13, 5?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*f**4 - 9*f**3 - 100*f - 14806.\nAnswer: -16*f**3 - 27*f**2 - 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -94 + 133. Let m(y) = -y**2 + 6*y. Let k be m(5). Suppose 0 = 2*q - 4*n - 36, -2*n + g = 2*q - k*n. Calculate the greatest common factor of 12 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4558644 and 197380.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -38437 (base 14) to base 11\nAnswer: -94785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*c + 96. What is the remainder when c is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2309908303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**2 + 2*t - 2*t + (-1 + 2 + 1)*(-50*t**2 + t**2 - 100*t**2) + 5*t**2 - 5*t**2 - 2*t**2.\nAnswer: -303*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 9 = -3*o, -4*o + 6 + 13 = 5*j. Let y be 3\/(0 + 6\/32). Suppose 0 = -4*b + y. Which is smaller: b or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/12)*i*i**(-6))**(-20) assuming i is positive.\nAnswer: i**(295\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216) - 2*sqrt(1216))*5 + sqrt(1216) + 6*(-1 + sqrt(1216)) + -3)**2 + -2 + (sqrt(1216) - sqrt(1216)*-1*3) + -4.\nAnswer: -256*sqrt(19) + 4939","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1943 to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2*(sqrt(112) - 4*sqrt(112)))\/(sqrt(1960)\/sqrt(10)*5).\nAnswer: -72*sqrt(7)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18e1 - -4c0?\nAnswer: 1db1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15631\/5? (a) -5\/4 (b) -80\/9 (c) 0.4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22430 + -14?\nAnswer: -22444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1053) - sqrt(13)*1*-4 - ((-2*sqrt(520) - sqrt(520))\/sqrt(10))\/sqrt(4))**2 + -3.\nAnswer: -32*sqrt(13) + 3326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2714\/(-1416)*42\/(-69)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 1, 5*q + 0*q - 44 = 4*z. Solve -2*u + 9 = -3*m, 3*m = q*m - 3*u + 14 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 736 and 105092658.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 330.33 * 0.01\nAnswer: 3.3033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/1425834 and 10\/11187?\nAnswer: 15684174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l - 1. Let f(h) = -2*h - 2. Let w(y) = -f(y) + 3*k(y). Let o be w(-4). Let n(q) = -2*q**2 + 5*q - 4. Give n(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7\/94, 0.3, 0?\nAnswer: 7\/94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -4*q**2 + 2 + 41670*q - 41670*q + 7*q**3. What is the tens digit of j(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-80)\/75 - 28\/(-20). Let m = 85\/3 - 28. Solve 0 + 0*j + b*j**2 - m*j**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-336) - 1\/(-4)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.857 + -51.157. Which is smaller: l or -0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*447 - 119\/(-119). Calculate the highest common factor of 84 and j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 233660037 to the nearest integer?\nAnswer: 15286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -25, 0, -5, -3 in decreasing order.\nAnswer: 1, 0, -3, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -63\/1007 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-70))\/((-7)\/(-49))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2269272*l**2 + 2269272*l**2 - 2*l + 4*l - 4*l**3 - 105 to the form v*l + w + q*l**3 + f*l**2 and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2384069 and 262.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241 = -25*z - 271 + 137 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-six fifths of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 110 + 16*l + 17*l + 17*l - 110. Let g(r) = -8*r. Determine s(g(u)).\nAnswer: -400*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*k**2 - 2*k - 60.\nAnswer: 2*(k - 2)*(8*k + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2200*c**2 + 11166*c - 1 wrt c.\nAnswer: -4400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j - 3. Let v be n(0). Let u be (1\/2)\/((-1)\/8). What is the second smallest value in u, 0.2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -119 + 119. Let s = -2\/295 + -10321\/590. Calculate the common denominator of ((-14)\/168)\/(p + (-4)\/(-258)) and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 95 = -v - 5*n, -n = -5*v - 475. Let o(a) = a**2 - 36*a + 274. Let z be o(37). Let b = v + z. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1600206683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14314074 is divided by 183.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 4*m. Let p(x) = 2*x**2 - 7*x. Let i(q) = -4*p(q) + 7*u(q). Let l(a) = -a - 4. Let y be l(-4). Calculate i(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**3*d**2 - 493282*a**2*d**2 - 22250*a*d**2 - 2*d**2 wrt a?\nAnswer: 12*a*d**2 - 986564*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6922.971l in millilitres?\nAnswer: 6922971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262513073.\nAnswer: 61, 4303493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 809615 and 45.\nAnswer: 7286535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -173 + 178. Suppose -2*g + o*v - 13 = 0, 5*g + 2*v = -3*v + 55. Solve 0 = 6*c - 0 + g for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0.5, 0.1, 1\/7, 0.3, -22.\nAnswer: -22, 0.1, 1\/7, 0.3, 0.5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 6\/(-10) + (-22)\/5. Let w be (-1)\/((-2)\/4*-1). Put 1, w, z in ascending order.\nAnswer: z, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - a?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004127 to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of z**5\/60 + z**2. Let h(x) be the third derivative of -x**4\/12 - 26*x**2. Determine i(h(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v**(-1\/19))\/(v*v**(12\/7)\/v))**(-32))**(7\/2) assuming v is positive.\nAnswer: v**(-496\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 184, 193, 208, 229?\nAnswer: 256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*p + 0 + 2\/7*p**2.\nAnswer: 2*p**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 7*u**2 - 23*u + 35. What is c(9)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 636, 2754, 6284, 11226, 17580?\n\"Answer: 706*w**2 - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (2 - 0) - ((4 - 14) + 10).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 30875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11248\/48)\/37*3?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 101*y + 988. Calculate z(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 5*s - 3 - 7, 2*s + 40 = 4*x. Is 10 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0.3 (b) -1 (c) 2\/5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-718)\/4 - 10)*10. Is c smaller than -1894?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10261?\nAnswer: 31, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1181919.905 to the nearest ten thousand.\nAnswer: -1180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v - 1 + v - 4 - 3. Let c be n(-7). Let f(k) = k**3 - 7*k**2 + 4*k + 6. Let r be f(c). Put -1, 1, r in ascending order.\nAnswer: r, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 102113 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -15*r**2 - 2*r - 11. Suppose -4*n + 47 = j, -26 = 4*n - 5*n - 5*j. Let z(x) = 2*x**2 + 6 + 3*x**2 + x + 3*x**2. What is n*z(f) + 6*l(f)?\nAnswer: -2*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((24\/18)\/(-2))\/(5\/(-30)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6a4 (base 16) to base 7.\nAnswer: 4646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 3 = 2*g, 5*g - 2 = 2*z + 4 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 53 - -198864\nAnswer: 198917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u - 2. Let i be l(6). Let k = 227.96 + -4.96. Let g = k - 223. Does i = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s + 10*s + s)*(-5 + 2 + 4)*(4*s**2 - s**2 - 6*s**2).\nAnswer: -45*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8698)\/(-6) - (-30)\/(-45). Suppose 4*v + u = -7231. What is v rounded to the nearest one hundred?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 3*g. Let w be c(-4). Suppose -w*t - u + 72 = -109, u = 3*t - 134. Let f be (7\/(-21))\/((-1)\/t). What is the highest common divisor of f and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19602 and 1210.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 9. Suppose -25 = 5*y + 4*p, y + z*p = -p - 21. Let i be -4*(-3 + y + 3). Are 4 and i nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 0*t**2 + 361*t - 351*t - 20 - t**2. Let q be m(7). Solve 4*u + 3*d - 10 = 0, 0 = -5*u - 4*d + q + 11 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 586382, 2345521, 5277420, 9382079, 14659498, 21109677, 28732616?\nAnswer: 37528315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-934)\/(-42) + (-4080)\/17136.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -1, 1\/2, 1\/17?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 60*z**2 + 703*z - 1410. Let b be v(2). Solve n - 241*s + b*s = 0, -s = 2*n + 11 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/4386 and -76\/2193?\nAnswer: 4386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 97525?\nAnswer: -97528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 740 by -148.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2201\/11 - (-142)\/(-1562). Which is bigger: 197 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2085?\nAnswer: 3, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 10552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nqqffssfsqfqnqnssns. What is prob of picking 2 n?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 604877 = -84*d + 87*d - 5*q, -d = -2*q - 201627. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 452*(-5)\/20*-3 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a - 11. Let f be h(-7). Let n(g) = g**3 - g**2 - 6*g + 7. What is the lowest common multiple of 4 and n(f)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -0*t + 3*p, -p = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 4*r - 174, -172 = -u - r - 2*r. Is 29 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 6*d**3 + d**2 - 7*d + 9. Suppose -6*t + 5 = -5*t. Is m(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - 8. What is the tens digit of (o + 17)\/((-6)\/(-1731))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4351023.68 to the nearest 10000.\nAnswer: 4350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 10 + 2 = 0. Solve -4*d + 14 = k for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74576130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3099 + 8934. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 40 = -0. Let j = z + -3. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/2 or 1\/56544?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 109\/5 + -753\/35. Which is bigger: -1333 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 39*o**2 + 4*o - 77. Let z(f) = 40*f**2 + 2*f - 76. Let a(m) = 2*d(m) - 3*z(m). Find the first derivative of a(r) wrt r.\nAnswer: -84*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1005 is divided by 195?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1671356 is divided by 295.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 12:42 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 34*x**2 - 32*x + 11. Suppose -17*v + 41 = -520. What are the prime factors of g(v)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*g - 330204 = -332157 for g.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*w = -22*w - 31*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does -64\/21 = -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-2)\/(-56)*2.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 28.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l**(-3\/2)\/l)\/l))\/(l\/l**(-3\/17)*l)*l*l*l**9*l\/((l*l**(-2\/55))\/l) assuming l is positive.\nAnswer: l**(26853\/1870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 8*b**2 - 1. Give k(-2).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1442817 less than -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**22*x\/(((x**40*x*x)\/x*x)\/x) assuming x is positive.\nAnswer: x**(-61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h + 3. Let u be y(0). Let g(d) be the second derivative of -1\/36*d**4 + 2*d + 0*d**2 + 0 + 0*d**u. Factor g(o).\nAnswer: -o**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*y = -y - 12, 3*h - 10 = -2*y. Let m be (-4)\/h + 120\/62. Which is greater: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -508, 11, -0.3 in increasing order.\nAnswer: -508, -0.3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*(-1 + 1 + 1). Let i be 3\/(1 - (-2)\/(-8)). Suppose -c + 6 = i. Solve 0 = -0*x + 5*x - 2*w - 7, -d*x - w + c = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82366 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*c - 26 = 118*c - 2*x, 3*x + 7 = 4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -342.000255 - -342. Round p to five dps.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/21)\/k)**8*(k**(-19\/2))**(-2\/11) assuming k is positive.\nAnswer: k**(-1625\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 + (-5936)\/3710 + 13\/5?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-27)\/(-135) - 10324\/(-5). What is the highest common divisor of 35 and m?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1472382367\/14752 + -99809. Is f less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62 + -28. Suppose 3*a + 120 = -4*h + a, h + 40 = -3*a. Let f = h + u. What is the highest common divisor of 24 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from mmmmmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*((q**7*q)\/q)\/q*q*q)**(-1\/27) assuming q is positive.\nAnswer: q**(-10\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 9, n: 3, c: 7}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12137 - -12294. What is the remainder when 3610 is divided by o?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/5)\/(((-5)\/1)\/(-25))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -111000001101011011 (base 2) to base 5\nAnswer: -24331420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4) - 1513\/178\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -155715.896 - -159354. Let f = w + -3608. Let y = 30 - f. Round y to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13090 = -383*b - 8227 + 10840 for b.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7049.87824678 - -7127.878249. Let z = 78 - m. Round z to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -308*n**5 + 40996*n**4 + 37032*n**3 - 6416*n**2 - 2144*n = 0. What is n?\nAnswer: -1, -2\/11, 0, 2\/7, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 262458075?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 999 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 119538512.1 seconds to weeks.\nAnswer: 197.64965625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/251 and 46\/7.\nAnswer: 1757","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*h**3 - 40*h**2 + 99*h**2 - 24*h**3.\nAnswer: 87*h**3 + 59*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of 2*b**3\/3 - b**2 + 3*b - 11. Let i be c(1). Suppose -i*r + 112 = r. What is the remainder when r is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11895669, 11895653, 11895623, 11895573, 11895497, 11895389, 11895243, 11895053?\nAnswer: 11894813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 13*m - 79. Calculate s(29).\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-7)*m**8*m**(-2\/5)\/(m\/(m*(m*m**(-6))\/m)) assuming m is positive.\nAnswer: m**(-27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17362334 or -17362335?\nAnswer: -17362334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1305543*h**4*w**3 - h*w**3 + 3149769*w**3 wrt h?\nAnswer: 5222172*h**3*w**3 - w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-490)\/(-420)*(-4200)\/735?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -23*y + 10. Is i(-21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5289339?\nAnswer: 3, 11, 29, 5527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (36856\/(-170))\/(3\/(-45)) is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/1)\/((-21)\/(-7)). Solve 2 = -2*j, t = -s*t - 4*j - 7 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2598*l = -85839 + 104025 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 19 = -a. Suppose 6*d + 12 = 10*d. What is the lowest common multiple of a and -2*(-8)\/(d\/3)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6521 + -6516. What is the third smallest value in -1\/5, v, -0.1576?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 405 - 392. Suppose -x*u = -6822 - 56761. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {c: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = -3*b + i, 0 = 5*b + i - 10. Let f(w) = 52500*w**3 + 5 - 11 + 2*w + b. Let l be f(2). Round l to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 1:53 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 841 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1008848 <= -1008843?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -72*l - 9. Let v(g) = 524*g + 61. Let c(z) = -15*r(z) - 2*v(z). Calculate c(-2).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -652817\/9 + 72455. Let t = 688\/9 + w. Calculate the common denominator of t and (-12)\/(-9)*1*18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285304.\nAnswer: 2, 19, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in 37, 2, 0.5, -3\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 11*n + 20. Let f be y(11). Let a = 51 - f. Calculate the highest common divisor of 155 and a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6977 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 65 and 30?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = -5*y - 97. Let m = y - -38. Calculate the remainder when ((2 - 3)\/(-1))\/((-19)\/(-228)) is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-10010)\/(-3055))\/(-77))\/(-1).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.6856 - -0.05164984772.\nAnswer: 7.73724984772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2019363445 to the nearest integer?\nAnswer: 1264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5, 1, 1.5, -15?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ummmuuuuummmm. Give prob of sequence mm.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31908544814.2 - 0.5.\nAnswer: -31908544814.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u**2 - 2*u. Let w = 26 + -24. What is q(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s = 3*s + 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 13 + 137*k + 182*k.\nAnswer: 319*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1054 = 23*y + 109*y - 2 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 = a - 3*a. What are the prime factors of a?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2102411 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 18.94381 centuries?\nAnswer: 189.4381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 35*a + 13. Let c(w) = -9*w - 3. Calculate -9*c(k) - 2*x(k).\nAnswer: 11*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33815, 67631, 101447, 135263, 169079?\nAnswer: 202895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x + 7. Let m(z) be the third derivative of -z**5\/60 - z**2. Give m(q(l)).\nAnswer: -l**2 + 14*l - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -4. Let g(r) = r + 1. Let b = -119 + 115. Let x(a) = 1 + 0 - 2 + 2*a**2 + 3 + 2*a. Calculate b*g(o) + d*x(o).\nAnswer: 2*o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19821488101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of i**2 - 8*i + 10. Let o(w) = -18*w + 19. Let y(s) = 43*s - 39. Let h(b) = -5*o(b) - 2*y(b). Calculate -4*h(n) + 9*q(n).\nAnswer: 2*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14835 = 393*n - 70*n + 22*n for n.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 71663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.5257542ml?\nAnswer: 0.0005257542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -105325554 + -1110?\nAnswer: -105331104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 5*u + m, 3*m = 3*u + 19 - 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 117258 to the nearest one thousand.\nAnswer: 117000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {a: 1, b: 1, w: 2, i: 4}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14104035*a**2*d + 2*a**2 + 669*a*d - a - 807*d + 6 wrt a?\nAnswer: -28208070*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/1450372 and 37\/554.\nAnswer: 1450372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 734 is divided by 92.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiii. What is prob of sequence iiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -50, -92, -132, -170, -206, -240, -272?\n\"Answer: u**2 - 45*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -5*c - 3*g + g, 5*g - 25 = -2*c. Suppose 3*a + 2*a = -2*x + 21, 0 = 2*a + 4*x - 18. Calculate the remainder when c is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 278 + -278. What is the nearest to c in 21, -0.3, -1, 14?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -74, -40, -10, 16, 38, 56, 70?\n\"Answer: -2*w**2 + 40*w - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 26. Let y(f) = 135*f**2 + 5934*f + 24. What is the remainder when y(-44) is divided by h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.12 (b) 0.3 (c) 1 (d) -0.9 (e) 3 (f) -0.5 (g) 301\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xtxxxtxttx. What is prob of sequence txxx?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 84\/(-15) + 5 + 58\/(-70). Let x = 55\/14 + o. Which is the closest to 0.2? (a) x (b) -2 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -o**3\/3 - 4*o**2 + 4*o + 11. Calculate g(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12367579?\nAnswer: 7, 131, 13487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 158327628?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**2\/j)\/j)\/((j**(-6)*j*j*j)\/j)*(j*j*j**(5\/2)\/j*j)\/j**(4\/7))**(4\/9) assuming j is positive.\nAnswer: j**(74\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d**3 + 3*d**2 + 2*d. Let h(c) = 2*c**3 + c**2 + c. What is 5*h(s) - 3*i(s)?\nAnswer: s**3 - 4*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1185 is divided by 60?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2. Let f(v) = -15 + 6*v - 22 + 45. Give k(f(a)).\nAnswer: 36*a**2 + 96*a + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of i**5\/30 - 3*i**4\/8 - 8*i**3\/3 - 9856*i**2. Calculate o(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366 is divided by 75?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -116*x**2 + 7*x + 12. Let j(g) = 115*g**2 - 6*g - 10. Give -6*j(c) - 5*p(c).\nAnswer: -110*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4582.\nAnswer: 2, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 7 + -2)*13 - (0 + (-2 - 63)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8487, 8488, 8489, 8490, 8491?\n\"Answer: v + 8486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(275) - sqrt(275) - sqrt(275))\/sqrt(5))\/(6*sqrt(33)\/sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -1597*b**2. Let k(i) = -3*i**2. Give p(k(q)).\nAnswer: -14373*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 77963?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.62 - 0.2. What is u rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**4\/6 - 337*s**3\/6 - 1269*s**2 + 9672*s = 0.\nAnswer: -312, -31, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-20)\/24)*(22 - 1 - 520\/40).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -71*j**3 + 2528. Let s(o) = -2*o. Determine s(a(u)).\nAnswer: 426*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 1, 5.4, -3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 53258781298?\nAnswer: -53258781298.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ytktckkkkykkyklkzk. Give prob of sequence tzzc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 15460 divided by -5\nAnswer: -3092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-7 - (3 + -8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13580 and 140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3211 - -3210. Let m(o) = -o - 1. Let t(z) = z**3 - 2*z**2 - 6*z - 5. Let i = 11 - 16. Let s be 24\/10*i\/(-2). Give s*m(j) + w*t(j).\nAnswer: -j**3 + 2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 4*p + 81547*t - 81545*t, 10 = -2*p - 4*t for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**1*t)\/t)**(-9\/2)*(t*t**(-3\/4))\/t**(6\/5) assuming t is positive.\nAnswer: t**(-109\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1494244.8798709 - -0.1201291. Let b = f + -1494232.19838. Let p = -12.8 + b. What is p rounded to four dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (52 - 4)\/3 - (-150 + 130)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 79, 120, 163, 208?\nAnswer: 255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 235*z. Let d(l) = 21*l**2. Calculate a(d(p)).\nAnswer: 4935*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(637) + -3)*5 + sqrt(637))**2 - 5*(sqrt(1300) + sqrt(1300)*6))*2.\nAnswer: -3220*sqrt(13) + 46314","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/14)\/((-171)\/285).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2321330 + 413?\nAnswer: -2320412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/((-2*sqrt(15) + sqrt(15))\/sqrt(3)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2469648693?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -10 + -4*4\/(-2). Let z(j) = -j**3 + 3*j**2 + j - 2. Calculate z(w).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 113.6 - 131. Let r = u + 17. What is the second smallest value in r, -9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -232.233 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -167333840 divided by 4.\nAnswer: -41833460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -609 - -1056. List the prime factors of z.\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2866976?\nAnswer: 2, 7, 12799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/9, -0.2, 359, -1\/3?\nAnswer: 359","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 16) in base 6?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-104)\/39)\/(2*-1))\/(34*120\/10710).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -31*f + 1 + 70*f - 40*f. Let u(t) = -73*t - 5. Let c(n) = -6*s(n) - u(n). What is the remainder when c(1) is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*-2 + 2 - -3. Suppose -5*v + 4*f + 21 = 0, 1 + 11 = -t*f. Calculate the least common multiple of (0 + -2)*(-2)\/v and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 8*y. Let m(f) = -9*f**2 + 10. What is l(m(c))?\nAnswer: -72*c**2 + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o - 18. Suppose l = 10 + 7. Suppose h - l = -11. List the prime factors of v(h).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -281 != -2243\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 5*h = -385, 0 = 3*j - 54*h + 56*h - 561. What is the smallest common multiple of 518 and j?\nAnswer: 2590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 6107716*h. Let o(p) = 10*p. What is i(o(l))?\nAnswer: 61077160*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 20*i + 18*i - 9.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*w - 32*w - 4049 = -871 + 2398 for w.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/9 (b) -0.05 (c) 2\/17 (d) 6\/25 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3288 - 4?\nAnswer: -3290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -3*c, 826*d + 51 = 822*d + 5*c for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 17*d**2 + 16*d - 1. Let z be o(-16). Let h = -2711 - -2703. Suppose 2*r - 3*f = -6*f + 22, 3*r = 3*f + 3. Put h, r, z in descending order.\nAnswer: r, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30a (base 16) in base 13?\nAnswer: -47b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78 and 3562.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7838*k + 7835*k = -m - 24, -4*k + 32 = -3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)*4)\/((sqrt(36)\/sqrt(6))\/sqrt(3)).\nAnswer: 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - d + 1. Let x be t(0). Let o be (-8)\/(-6) - 0\/x. Let l be 6\/90 - (-2)\/20. Which is the second smallest value? (a) o (b) -0.5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3*(sqrt(468) + sqrt(468)*3*-1 + -5 + 2*sqrt(468))*-2)**2*4.\nAnswer: -21600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -39, -3\/7, -164\/11, -2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(135) - sqrt(135)*1)\/(sqrt(3) - (-1*sqrt(36))\/sqrt(12)) - (-3 + (sqrt(720) + 0 + sqrt(5))*1))*5)**2 + 5.\nAnswer: -1950*sqrt(5) + 21355","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -849 + 850. Let k = -0.027 - -0.027. What is the nearest to q in 1\/29, 2\/7, k?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -2*n + 30, -11*n + 12*n - 3*l - 17 = 0. Solve 4*q - 5*c - 3 - n = 0, 0 = 3*q - c + 5 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -1\/20*l**5 + 0*l**3 + 0 + 3*l**2 + 0*l - 1\/12*l**4. What is the second derivative of h(c) wrt c?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 275397 and -472076.\nAnswer: -196679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 487278 divided by -2461\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, d: 7}. Give prob of sequence df.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/(-1) + 26 + -31. Suppose 4*r = -d + 294400004, -z*r - 138939285 + 433339281 = -d. What is r rounded to the nearest one million?\nAnswer: 74000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 2)*(33 - 33 + 15*v**2)*(-38*v**2 + 120*v - 120*v) + 3*v**4 - 3*v**3 + 3*v**3 as n*v**4 + z*v + j + i*v**3 + y*v**2 and give n.\nAnswer: -1137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 7*a**2 + a - 1. Let y be g(-2). Let b = 776 + -543. Suppose -b - y = -3*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -560\/3 (b) 0.1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -3*v - 57, -2*v + 5*v + 27 = 5*s. Suppose -35 = 3*d + 7. Let t = v - d. Solve -g = -t*g - 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -y + 0*y**2 - 1\/6*y**3 + 0. Let i(f) be the first derivative of f**2 - 35. Give a(i(c)).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 19589.9 seconds in microseconds?\nAnswer: 19589900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1683?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/7*-6)\/((-81)\/(-42))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2023829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -8474000 to the nearest one hundred thousand.\nAnswer: -8500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 99436786*u**3 - u**2 - 89*u - 91245 wrt u?\nAnswer: 596620716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - w + 3 + 1 + 4*w - 1 + 26*w + 5*w - 5*w + (-2 + 3 + 0)*(-1 + 1 - 2*w).\nAnswer: 27*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1747277094?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 190792032?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -516 - 16?\nAnswer: -52c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -20\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 5*b = 100, 127 = -9101*a + 9100*a - 6*b for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06767093 to 4 decimal places.\nAnswer: -0.0677","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55 + 57. Calculate the highest common divisor of u and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 378415799 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 34506\/15959 and 2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 667*j = 118*j + 6146 + 1540 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -12434378.907 from -0.02.\nAnswer: 12434378.887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15957\/(-56700) - 8\/(-14) and -7\/40?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-14))\/((-3)\/(-21)). Suppose -2*m + 15 = 5*p, 0 = -p - 3*p + 4*m - 16. Solve 2*b + o = -2, -3*b + l*o - p = -2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i + 289 + 747 = 0. Let n(x) = -x**3 + 10*x**2 - 7*x + 4. Let w be n(6). Suppose -w = -75*l + i*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9835 and 360523?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(45) - (sqrt(1620) - -2*sqrt(1620))) + (sqrt(135) - sqrt(135)*-1)\/sqrt(3))\/(sqrt(18)\/(sqrt(8)\/sqrt(4)) + 2*sqrt(36)).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, e: 6}. What is prob of sequence zeez?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-288)\/(-62568))\/(282\/(-1551)).\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 3*n**2 - 6*n + 5. Give v(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 8 = 3*o, 14*l - 4*o + 6 = 12*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4295, -4284, -4265, -4238, -4203, -4160, -4109?\nAnswer: -4050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69795 is divided by 22583?\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 6*d**2 + 10*d + 3. Let v be z(-2). Put v, 3, -0.06 in increasing order.\nAnswer: v, -0.06, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/25*12 - 0 - 30\/25.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 153930 and 47645?\nAnswer: 2001090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 104*x + 731. Let a be l(-7). Solve a*k + 18 - 21 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 204 = -4*c. Let i = c + -107. What is the remainder when i is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 10*u**2 + 9*u - 9. Let i be o(9). Let a = 7 - i. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 137433 + 2?\nAnswer: 137435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o**5 - 222*o**3 - o**2 + 6510*o.\nAnswer: -20*o**3 - 1332*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**2. Let c(t) be the first derivative of -15*t**2\/2 + 2. Give j(c(l)).\nAnswer: -450*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1861302*c**2*m*u**3 + 3*c**2*m*u + 2*c**2*u - 25*c*m*u**2 - 23*c*m - m - u**2 wrt u?\nAnswer: 11167812*c**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/15 (b) 0.19 (c) -5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a**3 - 2*a**3 + 0*a**2 - 6*a**2 + a**2 as u*a**3 + i + q*a**2 + t*a and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -7 - 2 - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3157*t - 2373. Is x(56) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 227729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/208)\/(14 + 303387\/(-21672))?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, -17, 0.51119, -3\/2, 0.04.\nAnswer: -17, -3\/2, -4\/9, 0.04, 0.51119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 525388594.\nAnswer: 2, 1051, 249947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (18\/4 + -3)\/((-9)\/18). Let l(p) = -8*p**3 - 7*p - 3. Let s(j) = 23*j**3 + 20*j + 8. Determine n*s(b) - 8*l(b).\nAnswer: -5*b**3 - 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -474 - -481. Solve -4*w + 2*w - 5*n - 10 = 0, b = 3*w + 2*n for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 - -82b4906?\nAnswer: 82b48b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61 + -65. What is the nearest to -14 in 1\/3, f, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/44946 and 151\/57204.\nAnswer: 629244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 10*z**3 + 10*z**3 + 10*z**3 + 4*z**3 - z**4 to the form q*z**4 + k + u*z**2 + p*z + t*z**3 and give t.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5706 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 135604091 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9511.\nAnswer: 9511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + q + 3. Let p be d(2). Let u(f) = -f**2 + 1 + 2*f + 0*f - 2 - f**3. Let s be u(-2). Sort 2, s, p.\nAnswer: s, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1258 to three dps.\nAnswer: 0.126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/40 of a kilometer?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2572663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iuuuudi. Give prob of sequence iuu.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-12) - (-36)\/(-16). What is the tens digit of 40 - (1 + l) - 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8381\/6 - 1396. Which is the closest to 0.41? (a) 0.3 (b) -4 (c) u (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 319 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3706, -14797, -33284, -59167, -92446?\nAnswer: -133121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 34.17805 millilitres?\nAnswer: 0.03417805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13.9999987 - 14. Round r to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -162\/221, -8\/69, 4, 3\/5 in decreasing order.\nAnswer: 4, 3\/5, -8\/69, -162\/221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -1\/2*m**2 - 10*m - 1. Let s be (-15 + (-875)\/(-35))\/(-1 - 1). Determine o(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-22)\/(-4) - 5). Solve 3*y - 11 = b + b, t*b = -5*y - 3 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.848251 + 9.156.\nAnswer: 15.004251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 13*r**2 + 31*r - 18. Let y be x(15). Suppose -7*s = -11*s - 36. Let p = s - -91\/10. Which is the third biggest value? (a) 3 (b) y (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1758.445 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -1\/65*h**5 + 1\/91*h**7 + 1\/195*h**6 + 0*h**3 + 0*h**4 + 0*h**2 + 4*h + 0. Factor t(k).\nAnswer: 2*k**3*(k + 1)*(3*k - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 148\/(-370) - ((-81202)\/5 - 0). Calculate the common denominator of 6804\/w - (-2)\/(-8) and 57\/22.\nAnswer: 3190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 118*p**2 - 76*p - 316. Is n(-4) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.726 + 9.7. What is x rounded to 3 decimal places?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 5*l + 2 + 1, 0 = -l. Is 3 < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(-10)\/(-75) + 0. Let d = 0.96 + -0.06. Let w = 2.9 - d. Which is the third biggest value? (a) n (b) w (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + 1 - (sqrt(245) - 1*sqrt(245)))**2 - (1*2*sqrt(60))\/((sqrt(84) - (sqrt(84)*-2 + sqrt(84) + sqrt(84)))\/sqrt(7)).\nAnswer: 22*sqrt(5) + 721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b - 5. Let h(y) = 6*y - 10. Let i(d) = 4*h(d) - 7*z(d). What is the tens digit of i(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -22865*f**2 + 12*f - 9. Let g(x) = -20509905*x**2 + 10760*x - 8070. Determine 3*g(h) - 2690*i(h).\nAnswer: -22865*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -2\/4213?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -35290, -3 in decreasing order.\nAnswer: 28, -3, -35290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00016458138 to five dps.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1023 + 1804 - 428 + 2446 + v**3.\nAnswer: v**3 + 4845","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -228, -238, -268, -324, -412, -538, -708?\n\"Answer: -u**3 - 4*u**2 + 9*u - 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*p**3 - 88*p**2 + 177*p**2 + 109*p**3 - 89*p**2.\nAnswer: 91*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**3 + 18*k**2 - 7*k - 25. Determine u(-9).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -89 + 86. Let r be (-44)\/(-16) + g\/4. Suppose 0*u - 286 = -r*u. Does 19 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2121155 (base 6) to base 4\nAnswer: 121120133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1202*p - 40 = -4*n + 1206*p, 0 = -3*n - p + 22 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -80 - -76. Let n(y) be the third derivative of 0 + 1\/120*y**6 - y**2 + 0*y - 1\/3*y**3 - 5\/24*y**4 + 1\/20*y**5. Give n(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 697796074721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 978.6126 kilograms to tonnes.\nAnswer: 0.9786126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2. Let o(m) = 175*m**2 + 30*m**2 - 382*m**2. What is o(n(p))?\nAnswer: -708*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4007 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: Calculate the common denominator of 1\/18 and -161\/60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 7:16 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**4 + 7 - 7 - 4*q**4 + 2*q**4 + 0*q**4 + (2 - 2 - 2*q**2)*(-7*q**2 - 5*q + 5*q) + 6*q + 5*q - q**4 + 3*q**4.\nAnswer: 18*q**4 + 11*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 1870*b - 242201. Determine r(-140).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 to the power of 1\/2, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r - 4*x - 14, r = -3*r + 3*x + 18 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 72927772319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -530 + 666. Calculate the greatest common factor of t and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 e when three letters picked without replacement from hhhhheeh?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -0*c + 129. Suppose -2*o + 36 = -x + 11, 4*o + 5*x - c = 0. Let f(g) = 23*g - 10. Let n be f(2). What is the greatest common factor of o and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35+-5.3\nAnswer: -40.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4b8 - 2?\nAnswer: -4ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119374 is divided by 42?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 252919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 44241 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010110011111101 + -101101001010?\nAnswer: -1011100001000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + (-320)\/(-56))*95 + 1\/14*2?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b**2 - 4*b - 6. Give m(-3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxuxv. What is prob of sequence vh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42788422 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(320) + sqrt(320) + 5.\nAnswer: 4 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-4))\/(18\/(-8)). Let n = 74903.9 + -74904. Sort o, n, 1\/6, 3.\nAnswer: n, 1\/6, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -4*y - 2*g + 42, -y + 29 = g. Solve -2*x = -28 + y for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 0.1717.\nAnswer: 4.8283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.5, -9, 0.3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w**4 - 70048*w**3 + 5840260*w**2 - 22520336*w + 22240080 = 0 for w.\nAnswer: -17595, 2, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 5:08 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 3 - 5. Suppose r*b = 4*b - 62. What are the prime factors of b?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 take away -4.29?\nAnswer: -8.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eqqe. Give prob of sequence eqeq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/9*l**2 + 4\/9*l**3 + 2\/9*l + 4\/9.\nAnswer: 2*(l - 2)*(l - 1)*(2*l + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -7*v + 6. Suppose -5*u + 3*u = 12. Let l(g) = 3*g - 46. Let c(p) = -p + 53. Let b(z) = -5*c(z) - 6*l(z). Give u*b(f) + 11*r(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -58?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*t**5 - 3*t**3 - 6*t - 2*t + 3*t**3 wrt t.\nAnswer: 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -225 + 854. What are the prime factors of h?\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 3*g - 44, 14 - 2 = -g + 4*s. Let c(n) = -2*n**2 - 5*n**3 + 2*n**3 - n - 2*n. Calculate the remainder when c(-2) is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 792815 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 3:07 AM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5702972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 27 = 21. Do i and -17 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 64*n**3*o**3 - 6*n**3 - n**2*o**3 - 3*n**2 with respect to o.\nAnswer: 192*n**3*o**2 - 3*n**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -5*a**4\/21 + 794*a**3\/21 - 316*a**2\/7 + 92*a. Let v(o) = 0. Calculate o.\nAnswer: 2\/5, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -52*k**2 - 5*k - 4700. Let l(j) = j**3 + j**2 - j. Let a(i) = 3*l(i) - w(i). Differentiate a(q) wrt q.\nAnswer: 9*q**2 + 110*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffzsrzffzususuzfff. What is prob of sequence szs?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 4 = -4*b, 0 = 4*o - 5*b + b - 32 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 3*g - 77529, -3046*g + 129218 = -3041*g - 4*q. What are the prime factors of g?\nAnswer: 2, 12923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4659 - 21399 = -1450*w + 985*w for w.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -980*s**3 - 183.\nAnswer: -2940*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-394)\/774 - ((-2682)\/(-162) - 17).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppyy when four letters picked without replacement from yyypyppyyyyypyyyyy?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 135\/9*(3 + (-26)\/10). Let c(m) = 2*m**3 - 11*m**2 - m - 25. What is c(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3524 divided by 4.\nAnswer: -881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -87 + 89. Let r be ((-6492)\/10)\/((-3)\/10). Suppose q*j + r = -2236. Round j to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 + 232501316?\nAnswer: 232501331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-3*2\/8). Suppose 0 = s*v + v. Let j be (-2)\/(-12) - ((-808)\/48 + 22). Put v, j, 5 in decreasing order.\nAnswer: 5, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 7*r**2 - 10*r + 24. Suppose 5*m = -4*y + 223, -16*y + 18*y + 4*m = 116. Suppose -180 = -16*d - y. Calculate j(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 512.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 60313*b + 241282. What is f(-4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 8*s**2 - 38*s + 34. Calculate i(11).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 7*z = -3*z - 21, 24 = -4*l + 4*z. Let a be (l - 24\/(-9))*3. Suppose g = a*g - 616. Calculate the greatest common divisor of 14 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -66601.9 and -29?\nAnswer: 1931455.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 15051627?\nAnswer: 15051630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 + 16. Let a = 17 + t. Solve a + 1 = -2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - s**2 + 15*s + 17. Let p be c(-1). Solve 5*z - h + 73 - 54 = 0, p = -3*z - h - 5 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-1*6\/42). Suppose 0 = -5*t + 2*t. Suppose k - o = -t. Let n(p) = p**2 - 7*p - 8. Determine n(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-5 + ((sqrt(605) + -1)*6 - (-2*sqrt(605)*2 + sqrt(605))) + sqrt(605)*-1 + 1 + -5))**2.\nAnswer: -95040*sqrt(5) + 1402020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13019*u + 261828 = 16136*u for u.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 706567 divided by 4.\nAnswer: 706567\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/850 and 111\/22?\nAnswer: 9350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -5*y**2 - 4*y**2 + y + 2*y**2 + 6*y**2 - y**3. Let z(q) = 2*q + 8. Let v be z(-4). Give i(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1795916 and 2.\nAnswer: 1795916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 174 or 8?\nAnswer: 174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 265 - 2913\/11. Let g = 21\/110 - 493\/1430. Which is the second biggest value? (a) -0.4 (b) s (c) 3 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.709 rounded to one dp?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104774?\nAnswer: 2, 52387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 9:56 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 32 times 8\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 377\/125 + (-24)\/40*5. Which is greater: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -634700 by -10.\nAnswer: 63470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4*d. Let h = -7 + 11. Let r be 2\/3 + 4\/3. Let c(f) = h*f**r + 2 - 2*f**2 - 2. What is t(c(o))?\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 496 = -4*g - 0*a, a = -2*g - 254. Let w be (-80)\/g - 0\/7. Let q = w + 2\/43. What is the closest to q in -3, 0.2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4*v - 4. Let a(p) = 5*p + 3. Let w(j) = -5*a(j) - 6*y(j). Determine w(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52025 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3424 (base 7) to base 16.\nAnswer: -4db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 53*d - 251. Calculate x(-48).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjyytkkyjjtyyybt. Give prob of sequence ykyy.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -108816 < 1791?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2136039 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r**2 + 2*r**2 - 8095*r**3 - 16*r + 26*r**4 + 3*r**2 + 8097*r**3 in the form p*r**2 + j + l*r**3 + y*r + f*r**4 and give y.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3 = 0, -22*s + 5*g + 15491 = -20*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 + 78332*c - 766987778.\nAnswer: -2*(c - 19583)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-140*j**2 - 108*j**2 + 20*j**2)*(-5 + 5 + 2*j) to the form w + v*j**2 + o*j + q*j**3 and give q.\nAnswer: -456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 158642680 to the power of 1\/2, to the nearest integer?\nAnswer: 12595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1469 and 2830085?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 15*v = -157, -8 = -5*j - 5*v + 5 + 22 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -o**6\/120 - 7*o**5\/60 + 5*o**4\/24 + o**3\/3 + o**2. Let j be u(5). What is the common denominator of 37\/11 and 1 + j\/12 - 2?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 30967, 61934, 92901, 123868, 154835?\n\"Answer: 30967*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -57)*296\/(-1332).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9545*b**3*s + 2*b**2*s + 1213*b**2 - 2*s - 1 wrt b.\nAnswer: -57270*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 7*c - 134 = -6*c, 0 = -2*c + 2. Calculate the lowest common multiple of 15 and s.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 - (7 + -10 + 13). Let h be 2\/(-5) - (-1731)\/4365. Let p = -6409\/2037 - h. Which is bigger: a or p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -394 bigger than -394?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9275 + -9251. Solve 0 = -70*g + 46*g - j for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 21*p**2 + 20*p + 25. Let f(g) = -4*g**2 - 4*g - 5. Let u(i) = -11*f(i) - 2*r(i). Let t = -14 - -18. Is u(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -15*(6 + (-70)\/15). Put -4, -5, f in descending order.\nAnswer: -4, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 597175260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 - -4) + (-5 - -7). Is 9 a factor of ((0 + t)\/(-1))\/((-24)\/(-5112))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 0*q + 96 + 0*q**2 + 1\/3*q**3. Let x(j) be the third derivative of -7*j**5\/60 + j**2. Determine x(g(d)).\nAnswer: -7*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 4*g - 316. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {u: 1, z: 3, x: 4, y: 5}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 15*i**3 + 9*i. Let n(x) = 8*x**3 + 5*x. What is 7*n(f) - 4*p(f)?\nAnswer: -4*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8760 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2588*d - 870*d - 869*d - 852*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*r + 4*r - 2*r + (-r - 5*r + 5*r)*(1 - 3 + 3) + 14*r - 4*r + 3 + 1 + 9 + 6*r - 9 to the form w*r + c and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 3*n + 96. Is 5 a factor of m(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bvbb when four letters picked without replacement from {b: 3, w: 7, v: 2}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (79856\/8372)\/(2\/(-13))\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z - 18*z + 2 = 0. Solve 2*d = 4, 5*d + 3 - z = 3*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 divided by -2.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -11*m - 5. Let p be d(-5). Let v be (-6*1)\/3 - -24. Suppose 4*l - v = p. Solve 4*c = n - l, 4*n + 7 = 5*c + 35 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1910363557 + -0.3.\nAnswer: 1910363556.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**2))**9\/(m**(-4)\/(m\/m**5)) assuming m is positive.\nAnswer: m**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1627518 = 260*v - 254*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t = 15*t - 300. Suppose -7*b + 11*b + t = 0. Let d be (24\/9)\/((-10)\/b). Solve -5*o = c - 20, 2*o = d*o + 3*c - 21 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1956*b**3 - 2*b**2 + 1957*b**3 + 2*b**2.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3353112 (base 7) to base 13\nAnswer: 117735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 37 - 24 + 16*f + 22. Let x be t(-2). Find p, given that 12\/11*p**4 + 8\/11*p + 24\/11*p**2 + 2\/11*p**5 + 26\/11*p**x + 0 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 600578.\nAnswer: 1201156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(13\/3))\/g*g*g\/g**(-5))\/(g**5\/g)**(-1\/27) assuming g is positive.\nAnswer: g**(76\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v - 5. Let i be c(-6). Let r = 16 + -17. What is the closest to -0.1 in r, i, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 8*z - 94. Let l be f(12). Suppose -l*g + 47 = -57. Calculate the highest common divisor of g and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 7191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -27*t**3 - 7*t**2 + 3*t**2 - 2*t - 9*t**2 + 15*t**2 + 1. What is g(1)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/888635 and 59\/3210.\nAnswer: 5331810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqiqbiqibqb. Give prob of sequence qqb.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + g)*(3 - 2*g - 3)*(-2 + 0 + 1) to the form s*g**2 + o + d*g and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (47\/((-1880)\/216))\/(336\/(-80)). Factor 5\/7*c + h*c**2 - 2\/7*c**3 + 0.\nAnswer: -c*(c - 5)*(2*c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 63*n + 3. Let r(f) = -11*f + 1. Let j(a) = p(a) + 5*r(a). Calculate j(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -22, -45, -68, -91, -114?\n\"Answer: -23*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/((h\/(((h\/h**4)\/h)\/h))\/h)*h)\/h**(-17))\/(h**(-5))**(-39) assuming h is positive.\nAnswer: h**(-180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6311, -6312, -6313, -6314?\nAnswer: -6315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of c**7\/35 - 5*c**3\/6 - 19*c**2. Differentiate n(w) with respect to w.\nAnswer: 24*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -455*b - 76483. Give m(-168).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/4, -0.1, -5, 2712641?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 422, 4074, 14244, 34274, 67506, 117282?\nAnswer: 186944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*z + f = 37*z - 28, -42 = z + 12*f for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3718, -3731, -3760, -3811, -3890, -4003, -4156?\n\"Answer: -u**3 - 2*u**2 - 3715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8665849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*s**3 + 110 + 539 + 153.\nAnswer: -21*s**3 + 802","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(18)\/sqrt(729) + (sqrt(2) - (2 + sqrt(72))**2 - (-4 + sqrt(8))).\nAnswer: -67 - 224*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 5:38 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -192*z + 96. Let w be f(-4). What is the tens digit of -6 - (w\/(-3))\/1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-12)*t**(3\/17)*t*t**(-8)\/(t\/t**(10\/9)) assuming t is positive.\nAnswer: t**(-2863\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -646*c + 464*c + 728 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**3 + i**2 - 5*i - 3. Let x = 29 - 24. Suppose 10*o = 5*o + 4*m, -m + 25 = x*o. List the prime factors of v(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2071 is divided by 161?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-30))\/((-1120)\/(-3360))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -5*w**5\/2 + 455*w**4\/4 + 13395*w**3\/4 + 34115*w**2\/2 - 9380*w = 0.\nAnswer: -14, -8, 0, 1\/2, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -13. Let o(z) = -3. Let c(f) = -2*a(f) + 9*o(f). Let g(h) = -h - 8. Let t(b) = 2*c(b) - g(b). Suppose 0 = 2974*p - 2954*p - 120. Give t(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-171)\/18 - 2 - -10.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v + 13. What are the prime factors of k(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1723, -1716, -1709, -1702, -1695?\n\"Answer: 7*q - 1730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8 is divided by ((-30)\/9 - -2)*15\/(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.8 - -8.79. Let n = -57.87819858 - -57.8882. Let p = n + h. Round p to seven decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*m**3 + m**4 - m**2 - 36 + 0*m**3 + 36 + 2*m as a + f*m + z*m**2 + i*m**3 + t*m**4 and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 5. Suppose 0*p = -b*p + 12. Let u(k) = -18*k + 6. Let z be u(-3). Calculate the greatest common divisor of z and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -866.8609923 + 866.811. Let k = 0.05 + a. Let j = k - 0. What is j rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**3 - 32*l**3 + 3*l + 2 - 9.\nAnswer: -32*l**3 + 3*l - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 468663, 468742, 468867, 469032, 469231, 469458?\nAnswer: 469707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3687?\nAnswer: 3, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 5*r**2 - 8*r - 20. Let c(k) = -k**3 + 6*k**2 - 7*k - 20. Let f(n) = -6*c(n) + 5*t(n). Is 12 a factor of f(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 47 = -25. Is (16\/d)\/((-6)\/(-333)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 318 - -8006. List the prime factors of d.\nAnswer: 2, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3655740 and 84040?\nAnswer: 7311480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x + 3. Let y be k(0). Let d be 2\/4 - (-1)\/(-2). Suppose b = -d + 2. Solve v - 4*z + 3 = 0, -b*v + 4*z + 17 = y*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 17*u + 23. Let h be y(-16). Let d = h - 9. Let f = d + 2. Solve -4*w = -4 - f for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*d**3*f**2 - 286*d**3 - 5*d**2*f**2 - 55*d*f**2 - 42*f**2 wrt d?\nAnswer: -54*f**2 - 1716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 20*v**2 - 16*v**2 + 0 - 7*v**2 as m + w*v**2 + i*v and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4348738 or 4348687?\nAnswer: 4348687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 40270.3 to the nearest 100.\nAnswer: 40300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 2 = -q. Suppose 2 = -2*n - 0*n - 4*x, -q*n + 3*x + 34 = 0. Suppose -4*i - 5*s = -102, -2*i - i + 94 = -n*s. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rmp when three letters picked without replacement from {p: 1, t: 4, r: 1, m: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3*i = 90, 2*i = -6 + 2. Let k be 1*45 - m\/(-7). What is the greatest common factor of 105 and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6584382413?\nAnswer: 7, 41, 22942099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5233 (base 7) to base 2.\nAnswer: -11100101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-68)\/153*3\/6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 346275961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -13280674, -26561350, -39842026, -53122702, -66403378?\n\"Answer: -13280676*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + 16400.9515673.\nAnswer: 16401.3515673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 6409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31 by -881.\nAnswer: -31\/881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-12)*(-6)\/(-4). Let x = 33084 - 33147. Which is the second biggest value? (a) x (b) s (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x - 3 + 2*x**3 - 4*x + 2*x**2. Let g = 0 + -3. Let s(b) = -b**3 + 1. Let z(l) = g*s(l) - k(l). Find the third derivative of z(p) wrt p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -24a052 + -a?\nAnswer: -24a060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*l - 2, 3*q - l - 11 = 0. Suppose -q*n - 2*m = -76, -m - 59 = -3*n - 3*m. Let o = n - 8. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 5 - 100*x**2 + 105*x**2 - 5.\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/2*6\/(-18))\/((-10)\/150)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9.6 in 7, 0.3056, -3, 1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 45 = -37. Let c(a) = 2*a**3 - 7*a**2 + 2. Suppose 2*l - 2*k - 78 - 12 = 0, 139 = 3*l + k. What is the smallest common multiple of c(y) and l?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -676 + 684. What is the second smallest value in -1.1, s, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 872.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2944 = -467*o + 6740 + 11148 for o.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 11 = -6*k + 5*x, 2*x - 10 = 4*k. Let w be 3 + (0 - (0 - k)). What is the first derivative of 2*z**2 - w - 1 - 4*z**2 wrt z?\nAnswer: -4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3700001*w + 2. Let r(u) = -u. Let j be r(-2). Let c be i(j). Round c to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 371.5 - 371. What is the fourth smallest value in 2, -0.3, -1\/8, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 3*r**2 + 2*r + 4. Let m be v(-4). Suppose -m = 34*g - 31*g, -j - 3*g = 10. Put j, 1, 12 in descending order.\nAnswer: 12, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -48*r. Let s(z) = -16*z. What is 4*m(g) - 11*s(g)?\nAnswer: -16*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 312*33\/1760 + 3\/5*20\/30. Factor -45\/4*z + 5\/4*z**3 + l + 15\/4*z**2.\nAnswer: 5*(z - 1)**2*(z + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ieieeueuuueueeeeuuu. What is prob of picking 2 u, 1 e, and 1 i?\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1898016?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 473484558 to the nearest integer?\nAnswer: 21760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/3)\/(6 + 440\/(-72)). Suppose 18*u - 15315 = b*u. What are the prime factors of u?\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 10*p + 27, -3*l - 18 + 93 = 2*p. Solve -5*f + 3*f + k = 13, -l = 4*f - 3*k for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3204058 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -9*r**3 + 13*r**2 + 29*r - 36. List the prime factors of z(-14).\nAnswer: 2, 3, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 538043 and 946?\nAnswer: 46271698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u - 4*u + 0*u + 3 - 3 + u + (-1 + 0 - 1)*(4*u - u - 2*u))*(-5 - 1 + 4) + 4 + 2*u - 4 as s*u + a and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-144)\/80)\/3 + 1\/5.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1423 minus 299765?\nAnswer: -301188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 9*i = 136. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1561 + 12.\nAnswer: 11.8439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 563.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - s - 1, -2*f + 3 = 2*f - 3*s. Suppose 5*p - 19 + 5 = u, 0 = 3*p - u - 10. What is the second derivative of o**p + f*o + o - 3*o**2 wrt o?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -64, -65, -66, -67?\n\"Answer: -u - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*d**2 - 8482392*d - 1304984 = 0.\nAnswer: -2\/13, 326246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -15. Let i(z) = -z**3 + 9 - 5*z - 2*z + 7*z**2 + x*z. Let b be i(7). Solve 0 = -b*v - q - 2, 4*v - q + 4 = -4*q for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7331489570 to the nearest one million.\nAnswer: 7331000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1920*k**3 - 762*k**3 + 776*k**3.\nAnswer: 1934*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.19 + 5.8.\nAnswer: 5.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 109ab (base 12) to base 4\nAnswer: 11122103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -3*n + 239217, 3*n = -4*q + 204824 + 114138. What are the prime factors of q?\nAnswer: 5, 41, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 293319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 228, -18, 66, -32 in decreasing order.\nAnswer: 228, 66, -18, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-14)\/(-42))\/(26\/6 - 2). Let r = -5.95 + 5.65. What is the closest to -4 in r, v, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than 17616?\nAnswer: 17621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17 + 987511?\nAnswer: 987528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 159?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*i + 20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c. Let m(n) = -9*n**2 - 2*n - 8057. Calculate m(h(t)).\nAnswer: -81*t**2 - 6*t - 8057","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 11 + 14 - 4*p)*(0*p - p + 2*p).\nAnswer: -4*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-2) - 36\/(-17). Let g(m) = 3*m**2 + 128*m + 712. Let h be g(-7). Which is the third smallest value? (a) h (b) 2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2628 = -6*a - 0*a. Let s = a + 1328\/3. Let q be (2\/4)\/(2\/16). Is q at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -50) + (-1 - -4 - 6). What is the second derivative of -2*k + 4319*k**2 - 4319*k**2 - k**4 + n*k**3 wrt k?\nAnswer: -12*k**2 + 276*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 + 18 + 6 + 9 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 7\/5 (c) 225 (d) -1 (e) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2788, -5, -91, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 21. Let z be (2 + -5)\/1 - -6. What is the second biggest value in z, 5, s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9985880.974 less than 0.7?\nAnswer: -9985880.274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -654*a - 33. Let u be v(-4). Let y = u - 31103\/12. Let x = -1\/415 + 29483\/7470. Calculate the common denominator of x and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 30 = 6*i. Is (-14)\/(112\/24)*(-10018)\/i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-14)*o\/o**22)\/(o**(1\/15)\/o)**(-1\/2) assuming o is positive.\nAnswer: o**(-532\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -9235, 8, 2, -11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(((-176)\/22)\/48)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*d**2 - 2*d**2 + 22*d + 6*d**2 + 0*d**2 wrt d?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 85, 88, 91?\n\"Answer: 3*j + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**3\/3 - 46*h**2\/3 + 269*h\/3 + 238 = 0. What is h?\nAnswer: -51, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-6)\/3)*4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -237 + 241. Suppose f*t - 9887 - 4901 = 0. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 411343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -17343 (base 8) in base 10?\nAnswer: -7907","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vkak when four letters picked without replacement from vaavttattatkakatkta?\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2.9 (b) -0.5 (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 - 10 - 9 + 16*p in the form j*p + f and give j.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hmh when three letters picked without replacement from {m: 1, h: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1499?\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 458*t**2 + 5*t. Let j(h) = -229*h**2 - 3*h. What is 5*j(n) + 3*p(n)?\nAnswer: 229*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23409?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j**3 + 5*j + 5. Let f be (-2 - (-1)\/(-2))*-2. Suppose 5*i = i - 20, -3*i - 43 = 4*n. Let z(t) = -4*t**3 + 7*t + 7. Give f*z(m) + n*h(m).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2185 (base 10) to base 12.\nAnswer: -1321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 351 a factor of 185328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -195*n + 1566. Calculate l(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 6*v**2 + 2*v. Let c be o(6). What is a in 6 + 1 + 10 + 3*a**2 - 5 - c*a = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1684592 divided by 63.\nAnswer: 240656\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9946337\/4081 - 562462\/231. Let c = 2\/583 + p. Solve c*w**2 + 2\/3*w**3 - 2\/3*w - 7\/3*w**4 + 0 = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2512 and 23.\nAnswer: 57776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -301066 - -1505348\/5. Factor 1\/5*q**2 + 81\/5 + r*q.\nAnswer: (q + 9)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k**3*l**4 + 21*k**3*l**2 + 6*k*l**4 + 59*k*l**3 + 18*k*l**2 wrt l?\nAnswer: 48*k**3*l + 144*k*l + 354*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 280*v. Let j(w) = -101*w. Let h(c) = 14*j(c) + 5*l(c). Let x(b) = 0*b**2 + 3*b**2 - b**2. Give x(h(z)).\nAnswer: 392*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -15 - 28 - -32?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 557082451.\nAnswer: 19, 29320129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 172, 896, 2096, 3766, 5900, 8492?\n\"Answer: -a**3 + 244*a**2 - a - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of i**6\/72 - 5*i**3\/2 - 23*i**2. Let s(u) be the first derivative of r(u). Let q(w) = w**2. Calculate q(s(h)).\nAnswer: 25*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.9 + -5.4. What is the third smallest value in w, 2\/13, 2\/3, -0.4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14323, -57318, -128987, -229330, -358347, -516038, -702403?\nAnswer: -917442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30741833?\nAnswer: 73, 421121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.02+-2914408.462184\nAnswer: -2914408.482184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**2 - 10*f + 2. Let w be d(-5). Which is the third biggest value? (a) -0.2 (b) -4\/7 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.8 - 0.2. Let c(w) = 3*w + 8*w + 60*w**3 - 11 - 61*w**3 + 9*w**2. Let b be c(10). Which is bigger: b or s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 322*t - 8598. Calculate g(24).\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 3*p = -8, 0 = 80*s - 65*s - p - 30 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of 8*m**6 + 49*m**4\/4 + 1292*m**3\/3 + m**2 + 4447. Find the third derivative of k(s) wrt s.\nAnswer: 2880*s**2 + 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 560260000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*l - 16*l**2 - l**4 + 17*l**2 + 2*l**4 as r + w*l**2 + b*l**4 + v*l + x*l**3 and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + a = 3, -26*l + 25*l + a + 3 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17051\/2622 - 4\/1311. Let w(l) be the first derivative of o*l**2 + 12\/5*l**5 + 0*l**3 + 13 + 0*l**4 + 0*l. Find the second derivative of w(z) wrt z.\nAnswer: 144*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 19*l + 9. Determine s(-18).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11204 + -34?\nAnswer: -11243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -1. Let p be 7 - 3\/6*z. Is 2 a factor of p*(2\/2)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 187*c**2 - 3*c**2 + 2.\nAnswer: 184*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x**2 + 1195*x - 1190 = 0. What is x?\nAnswer: 1, 238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 16, v: 2}. Give prob of picking 3 q.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.840041 and -356097.\nAnswer: -356098.840041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 7 - 8. Let b = n + 7. Suppose 0 = m - 0*m + 5. Put 5, b, m in increasing order.\nAnswer: m, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 110, -4, -445, 14, 0 in decreasing order.\nAnswer: 110, 14, 3, 0, -1, -4, -445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3959 - 1?\nAnswer: 3958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 9*q + 60. Let v = -4 + q. Let n(f) = f**2 + 3*f - 11. Is n(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -9*h**4 - 24*h**3 - 42*h**2 - 18*h + 6. Let z(w) = -26*w**4 - 71*w**3 - 125*w**2 - 55*w + 17. Let m(i) = -17*s(i) + 6*z(i). Factor m(t).\nAnswer: -3*t*(t + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - b = -0*b + 1, -4*b = -2*u - 6. Suppose -4*n + 15 = 3*q, -2*q + u = -n + 6. What is the highest common divisor of 8 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/148 and 19\/2.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/2)*d)**(-46)\/(d**(-7)\/d)**(-9) assuming d is positive.\nAnswer: d**(-141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -19abe (base 15) to base 3\nAnswer: -11020102222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 288 + -246. Suppose 11*m = 5*m + y. Let q = -1 - -0.8. Which is the smallest value? (a) 0 (b) q (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13134880 by -5.\nAnswer: 2626976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 1:01 PM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (5 - (4 + -2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 61*f - 66*f + 20, 0 = -4*k - 5*f - 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-10)\/5)*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffqqffff. Give prob of sequence fqfq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 2:02 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppkkkp. What is prob of sequence kk?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*z, 4*k + 141*z = 144*z + 534. Calculate the least common multiple of k and 90.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -1, 1, 0, -1\/68.\nAnswer: -1, -1\/68, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -19*h - w, -3*h - 1797 + 1725 = -3*w for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -569624*s = -569749*s + 2375 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 1, 6196.05?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*i + 163, -4*f = 4*i - 2*i - 174. Let t = 46 - f. Let g be ((-1)\/(1\/1))\/(-1). Solve 3*p - j - 3 = 0, -p + t*j = -j - g for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 293.33779?\nAnswer: -295.33779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + (0 - 5) + 1. Is 41 a factor of (2276\/7 - -3) + t\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v**3 + v**2 - 3*v + 2. Let b be o(1). What is the second derivative of 8*i**3 + 50*i - 3*i**b + 3*i**3 - 14*i wrt i?\nAnswer: 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 15*l**2 - 8*l + 17. Let a(f) = f**3 - 16*f**2 - 9*f + 18. Let j(y) = 5*a(y) - 6*k(y). What are the prime factors of j(10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -1. Let v(d) = -5 - 5*d**2 + s*d**3 - d**3 + 0*d**3 + 3*d + 4*d**3. Let w(b) = -5*b**3 + 4*b**2 - 2*b + 4. Determine -4*v(k) - 5*w(k).\nAnswer: k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -313, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 128\/7 + 18\/(-63). Let s(k) = 9*k - 149. Let n be s(17). Put t, 2, n, -3 in ascending order.\nAnswer: -3, 2, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -794.93133 + -0.06867. Sort h, -4, 1\/2, 1 in descending order.\nAnswer: 1, 1\/2, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(85)*-1 + sqrt(85)) - sqrt(85) - ((sqrt(85) - sqrt(85)*1)*-5 - sqrt(85)))*-4)\/(-5*(sqrt(50)*2*-2)\/sqrt(10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) + sqrt(204)*-2 - sqrt(204))*6 - sqrt(204) - -2*(sqrt(204) + -2*sqrt(204) + sqrt(204)))\/(sqrt(972)*1*-4).\nAnswer: 13*sqrt(17)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3881*p**3*z**2 + p*z**3 - 4*z**3 - z**2 - 1299*z wrt p.\nAnswer: 11643*p**2*z**2 + z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -3*m - 3*m. Let o(h) = h**3 + 5*h**2 + 5*h + 4. Let x be o(m). Let f be (0 + x)\/(-2) - -8. Solve 2*j = -i + 6, -i + 6*i - j = f for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2 = -2*j. Suppose f - 2 - 1 = 0. Let i(q) = -2 - 3*q**2 + 2*q**2 + f + q. What is i(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -172*l - 472. List the prime factors of y(-11).\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5017 = 64*t + 1945. What is the lowest common multiple of 78 and t?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fa when two letters picked without replacement from {f: 5, a: 15}.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 500, 722, 960, 1220, 1508?\n\"Answer: w**3 + 2*w**2 + 209*w + 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1607 divide 121127625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 - 38.8. Let o = h + 0.8. Let u = o + 2.1. Which is smaller: 2\/27 or u?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8674 = -5*x - 3*c + 8703, 5*x - 63 = 14*c for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 98220955 to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3013 - -3016. Let m = 0.4 - -0.1. What is the nearest to -4 in -1, m, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 65*i - 24. Let g(k) = 4681*k - 1736. What is 3*g(c) - 217*j(c)?\nAnswer: -62*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1294062434207165 + 4.\nAnswer: 1294062434207169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 2*g**2 + g + 1. Let t(o) = 85*o**3 - 4*o**2 + 4*o + 5. Give -t(y) + 2*u(y).\nAnswer: -87*y**3 - 2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 964705 is divided by 135.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(35) + (sqrt(35)*2 - sqrt(35)) - sqrt(35)))\/sqrt(5)*-6 - ((sqrt(378) - sqrt(42))\/sqrt(6) + (sqrt(7) + 4)*-1))**2 + 0.\nAnswer: -152*sqrt(7) + 2543","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 260?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -3*g**5\/2 + 653*g**4\/4 + 2115*g**3\/4 + 365*g**2 - 111*g - 112 = 0.\nAnswer: -2, -1, -2\/3, 1\/2, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*x**3 + 0*x**3 + 9*x**3 + x**3.\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 11*d**3 + 1123*d**2 + 101*d - 111. Give r(-102).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t - 4. Let r be y(-7). What is the smallest common multiple of r*((-224)\/12)\/(-7) and 10?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 210? (a) -0.2 (b) 0.26 (c) -0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of l**5\/60 - l**4\/6 - 8*l**3\/3 - 9*l**2. What are the prime factors of h(10)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 47378, 47360, 47342?\n\"Answer: -18*j + 47396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -c + 2*c. Is (-8)\/c - (-325)\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i - 5*i - 5 + 0*i**2 - i**2 + 4*i**2. Let v be h(-3). Suppose q = v + 6. Is q a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 521880.9cm in micrometers?\nAnswer: 5218809000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 2*s**2 - 15*s + 5. Let g be t(5). Let m(l) = -7*l - 10. Let k(z) = z + 1. Determine g*k(o) + m(o).\nAnswer: -2*o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 17386, 34830, 52332, 69892, 87510?\n\"Answer: 29*s**2 + 17357*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/51469 and -2\/360283.\nAnswer: 360283","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.22881ms to nanoseconds.\nAnswer: 42228810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 2*d + 1. Let q be z(-5). Let r = q - -26. Calculate the lowest common multiple of r and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-28)\/266 - (-492)\/(-19). Let r = w - -31. Solve 14 = -3*p + v, r*p + 4*v = -22 + 10 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a year in months?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l**3 - 50*l**3 + 17*l**3.\nAnswer: -39*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.884 + 6.24. Let d = -0.004 - h. What is d rounded to one decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3833595 and 27?\nAnswer: 3833595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -5695*p**3 - 84*p**2 - 8*p - 4. Let o(s) = -89189395*s**3 - 1315545*s**2 - 125290*s - 62645. What is -4*o(f) + 62645*w(f)?\nAnswer: -5695*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*1386.5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 30\/20 + (-1)\/(-2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1111? (a) 2\/9 (b) 5.6 (c) -23\/8 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 32*n**2 + 32*n + 48. What is s(33)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 2*q - 6. Suppose q*o - 5 - 9 = -2*j, 0 = -3*j + 4*o. Solve l - 3*l = -j for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11075 - -1?\nAnswer: 11076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-4))**(1\/18)\/(x\/x**(-1))**(12\/7))**42 assuming x is positive.\nAnswer: x**(-460\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q + 2*i - 80, -29 = q - 753*i + 750*i for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - (2\/2 - 0). Suppose -4*i - 4*x = -32, 0 = 39*i - 37*i - 2*x + 8. Sort i, -8, k, 3 in increasing order.\nAnswer: -8, k, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7952293 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1759*c + 1511*c - 1323*c.\nAnswer: 1947*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*z**3 + 3*z**2 - 3*z**2 + (-z - 2*z**2 + z)*(1 + 3*z - 1) + 2*z**3 - 169*z**2 + 169*z**2 + z**3 - 4*z + 0*z**3 + 2*z.\nAnswer: 2*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 80 = -4*w, -4*w = -u + 8 + 24. Let k = u - 0. Is k a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (23 - -11) + (-1)\/((-2)\/4). Let f = -28 + u. Suppose -6*z = -f*z. Solve -3*c = b, 5*c + z*b - b = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.292 and -1.3.\nAnswer: -0.3796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 2*f**2 + 7*f - 4. Let t(b) = -b**2 - 8*b + 5. Let y be t(-9). Let j be p(y). Let d be 2*(j - 1) + -80. Round d to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18564438 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/4 and -101\/704.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 73224298.8 to the nearest 10000.\nAnswer: 73220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120 and 113157740?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/28 and -89\/39086.\nAnswer: 547204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + -7 - 2 - -8. Let v be (20\/42)\/((-22)\/183). Let d = v - -42\/11. Which is the biggest value? (a) t (b) 1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47728 times 0.5\nAnswer: 23864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -4*n**5 + 4*n**4 + 20*n**3 + 12*n**2 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 e, and 2 j when four letters picked without replacement from {e: 1, i: 5, s: 1, d: 11, j: 2}.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9213727?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2*q**2 - 4\/9*q.\nAnswer: 2*q*(9*q - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + y**2 + 5*y + 9. Let o be c(8). Let r = -1054143\/55 + 93838\/5. Let l = o - r. Which is smaller: 0.1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54067 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.19, 463, 5, -2\/9, -0.1 in increasing order.\nAnswer: -2\/9, -0.19, -0.1, 5, 463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 + 32. Let k = -3.1 - -1.1. What is the closest to -0.1 in x, k, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -800*s**2 + 911*s**2 - 2460*s + 1882*s**2 wrt s.\nAnswer: 3986","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1479 + 17)\/44 - 360\/(-9)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-2 + 1*sqrt(19))**2 - (2*sqrt(152))\/sqrt(8)).\nAnswer: -6*sqrt(19) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -41*v + 39*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - 19. Is 6 a factor of 2 - (80\/g)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000 + 11101111100100111?\nAnswer: 11101111100010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*d - 0*d. Let x be -1*(1 - 7\/d). Let w = 8 + x. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 1 = 2, g = 2*b - 23. Suppose -4*y + f + 171 = 0, -51 - 78 = -3*y + f. Suppose 2*s + y = 132. What is the remainder when s is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(20)\/(sqrt(30)\/sqrt(3))*2.\nAnswer: 2*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40320 - 26143. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 5*d**2 - 1949*d - 19021. Determine z(-10).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one tenth of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85598?\nAnswer: 2, 127, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 594\/(-15)*35\/(-14). Suppose 4*b - 15 = b. Suppose 0 = -b*w - 2*l + z, w = -0*l - 4*l + 27. What is the greatest common divisor of w and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -57, -65, -77, -93?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9*(-5 + 1)*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -7*p**3 - 7*p**2 + p. Let b(o) = -o**3. Let v(i) = -6*b(i) - j(i). Let r be v(-8). What is r rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*k - 105 = 4*a, 3*a + 16*k - 2 + 27 = 2*k - 28 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15453026*u**6 + 8*u**3 + 35302*u**2 + 1475.\nAnswer: -1854363120*u**3 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (966\/207)\/((-4)\/(-6)). Solve z*g = 10*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 i when four letters picked without replacement from {i: 1, v: 7}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8 (b) 2\/13 (c) 0.0749\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 0, 183, -4\/49 in descending order.\nAnswer: 183, 11, 0, -4\/49","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-69)\/2*(-2)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*v**2 + 90*v**2 + 95*v**2.\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwwwzwwuuiwww. What is prob of sequence zz?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*l**3 + 3*l**4 + 8*l**3 + 3*l**2 + (-2*l + 2*l - l)*(-3 + l**3 + 3) + 4*l**3 - 5*l**4 - 4*l**3.\nAnswer: -3*l**4 + 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154428269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -17, -52, -99, -164, -253, -372, -527, -724?\n\"Answer: -d**3 - 28*d + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-5))\/((-3*105\/50)\/3)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -337 + 225. What is the smallest common multiple of 24 and (-2 + 68\/16)\/((-14)\/i)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1114.84 - 2.16. Sort 1\/4, n, -4.\nAnswer: n, -4, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -189.681.\nAnswer: -37.9362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 62063 to the power of 1\/2, to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-138)\/(-6) - (4 - 0). Suppose -53 = -2*q + i, q = -0*q - i + p. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o**2 - o + 4. Let i(h) = h**2 + h - 2. Let k(l) = 6*g(l) + 14*i(l). Determine m so that k(m) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -28657 - 1b?\nAnswer: -28674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 4*z**2 - 3. Let q be y(-5). Let u be 3\/(-18) + q\/264. Is 0 less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*32.8.\nAnswer: 3.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-13230)\/1316)\/(-15) + 0 + (-3)\/(-2). Is l at least 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10, -49, -128, -259, -454?\n\"Answer: -2*x**3 - 8*x**2 - x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -48*t + 9357. Determine g(187).\nAnswer: 381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16769041?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 s when two letters picked without replacement from {s: 2, m: 1, i: 1, k: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 343696\/3 - 116185. Let f = 1634 + j. What is the common denominator of 145\/6 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (309\/(-30591))\/((3\/36*-4)\/(-1))?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 381, -132, -24, -2 in decreasing order.\nAnswer: 381, -2, -24, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 10786986 and 1593186?\nAnswer: 9193800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 74\/8 + ((-66)\/6)\/44\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 280\/(-168)*(-132)\/(-20)*(-5)\/((-40)\/24)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -53*k - 298. Let q(n) = -263*n - 1501. Let u(j) = -29*d(j) + 6*q(j). What is u(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.0862 + -1.0862020391. What is g rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000017548 rounded to 7 dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47 - -53. Suppose -a = -u*a + 695. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + 1 - (6 - 4). Let h be -3 + x + (-7)\/(-1). What is the second derivative of u**4 + 7*u - 3*u - h + 6 wrt u?\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 550360 <= 1651081\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.921 rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110110111 + 1?\nAnswer: -10110110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/2*(-14)\/28. Suppose 1\/4*o**2 - 1\/4 - 1\/4*o**3 + k*o = 0. Calculate o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(-31)\/((-2)\/66*-3). Calculate the highest common divisor of 930 and m.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -2\/89, 2\/15, -1\/17?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 98 - 80. Calculate the remainder when h is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 504224?\nAnswer: 2, 7, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-27) + (132\/54)\/(-11). Let c(t) be the third derivative of 0 + 0*t + t**2 + 1\/24*t**4 + q*t**3. Let f(y) = 3*y**2. Determine f(c(g)).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a century in months?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2316009 is divided by 2617?\nAnswer: 2581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196*h**2 + 2310848*h - 94320 = 0. Calculate h.\nAnswer: 2\/49, 11790","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.676697 millilitres in litres?\nAnswer: 0.007676697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -76391 = -76365?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -6. Let m = 2 + v. Does 4 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/29860778 and -23\/29.\nAnswer: 29860778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 22 = -2*w, 4*u + 47*w = 46*w + 17 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 863882132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*h + 3*h. Suppose -h*w = -w - 336. What is the highest common factor of w and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1489143, -1489370, -1489755, -1490304, -1491023, -1491918?\nAnswer: -1492995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tdrakra. What is prob of picking 1 r, 1 d, and 1 k?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 3587382?\nAnswer: 3587382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13776 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 62 + -66. Let h be 0\/(l + -2 + 4). Solve -3 = 4*b - 2*b - g, h = 3*g + 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1070626000 to the nearest one million.\nAnswer: 1071000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-162)\/(-756)*-14*3*2\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus 9244.29021022?\nAnswer: 9242.29021022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*q**4 - 11*q**4 + 7*q**4 - 8*q**2 wrt q?\nAnswer: 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6063361181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-270)\/630*(4\/7)\/((-80)\/1960)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 403 = d, -6*d - 2451 = -12*d - 3*o. Calculate the lowest common multiple of d and 8.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**2. Suppose -3*l = -6*l + 36. Let t(h) = 16 + l - 28 - 12*h. What is t(s(w))?\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.115234 rounded to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*3*(sqrt(833) + -1 + (sqrt(833) + -2 - sqrt(833))) + 4)**2.\nAnswer: -1176*sqrt(17) + 30184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8 + 0.8. Which is the nearest to o? (a) -1\/4 (b) 1 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 81 + -44. Let d be (-438)\/34 + -1*10\/85. Let q = d + v. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 7*o**2 - 7*o. Let a be l(-6). Solve t + 4 = d, t - a*d + 2*d + 16 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.18 (b) -5 (c) -1\/2 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 376 is divided by 97.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 728060900?\nAnswer: 2, 5, 7, 409, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n**2 + 8*n**3 - 3*n**3 + 4*n**2 wrt n?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -200001001 (base 3) in base 9?\nAnswer: -20031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 6*q**2 + 20*q - 18. Let x be o(8). Suppose -k = x*k - 630. What is the remainder when k is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -22*i. Suppose l - 35 = -32. Let h(p) = -3*p - 132*p**2 + 129*p**2 + l*p. Calculate h(v(z)).\nAnswer: -1452*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -23. Suppose -4*q - 14 = q - r, -5*q + l = 5*r. Let h be (q + 1)\/(3\/3). What is the closest to h in -0.2, 2, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 80 + -80.2. Let l = -1867 + 1866. Which is the closest to i? (a) 2\/3 (b) l (c) 1\/4 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 8*x**2 + 149*x - 1426. Determine d(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2960 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 46*a - 45*a. Suppose 29*m = a*m + 54. Solve 7 = -j - v, -2*j + 2*v - m = -0*v for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/(d\/(d*d\/d**0*d))*d*d*d*(d\/((d*d**(-1\/6))\/d)*d)\/d assuming d is positive.\nAnswer: d**(49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/8 + ((-71)\/(-2) - -6) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/13 + -16\/65. Let g = 0 - -0.2. Let p be 5\/(-4)*(-2)\/(-10). What is the closest to 0 in q, g, p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*z**2 - 23*z**2 + 11*z**2 - 2*z**2.\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3 - 3*h**3 - 2 - 6 + 6*h**3. Let k(d) = -d**3 + 5. What is -13*k(p) - 6*x(p)?\nAnswer: -5*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1538515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*d = -86*d + 47*d - 26. Put -1, 213, 2, d in ascending order.\nAnswer: -1, d, 2, 213","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/((-5082)\/(-88)))\/((-10)\/28*2).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p. Let q(l) = -10*l - 2. Calculate -4*m(o) - q(o).\nAnswer: 6*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of x**10\/30240 + x**7\/1260 + x**4\/3 - 2*x. Let r(v) be the third derivative of f(v). Find the third derivative of r(w) wrt w.\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 32\/15 + -2 + 0. Let h(m) = 194*m - 392. Let u be h(2). What is the closest to -5 in u, -0.1, t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -3 (c) -1 (d) 5 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 30 = -5*a + z, a - 4*z - 16 = 0. Let f = a - -6. Calculate the lowest common multiple of f and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, -2, -34, 32, -1, -5 in increasing order.\nAnswer: -34, -5, -2, -1, 29, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15545762?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 15 = 57. Suppose -4*i + 2 = -x. Calculate the remainder when 9 is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, x: 1, n: 1, g: 1, o: 1}. What is prob of picking 1 g and 1 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 11:54 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 5*a - 952 = 1648, -3 = -a. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 92\/(-22) + 3 + 1. Let m = 289 - 869\/3. Put 1\/5, a, m, 1 in increasing order.\nAnswer: m, a, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5995.41 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*m - 6546 = 126*m. Suppose -x + 1090 = 4*n, -3*n = 4*x - 2191 - m. What are the prime factors of x?\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95 + -329245.\nAnswer: -329340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 413.13 + -129.12475. Let g = -284 + d. What is g rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2377 rounded to the nearest 100?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4*d + 20 - 7 = 0, 3*f = -5*d + 11. Suppose -4*n - 33 = -f*n. Let s be 1*-2 + n\/1. Calculate the highest common factor of 27 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/145*(-9060)\/3624.\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 13) to base 3\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11111111100000100111 (base 2) to base 8.\nAnswer: -3774047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/25)*(u*u**(1\/14)*u)\/u*u*(u**(-3\/5))**(1\/6))**(1\/10))**38 assuming u is positive.\nAnswer: u**(6289\/875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2134176306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 24*s**2 + 36*s + 103. Let v be y(-26). Suppose -39 = 16*x - v. Is 249\/8 greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -151761727\/6248318874 - 1\/1996906. Find the common denominator of j and -71\/1788.\nAnswer: 12516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -502700631?\nAnswer: 502700636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 510 - 501.6. Let h = -9.4 - -2.8. Let d = r - h. What is the closest to 1 in d, 0.2, 1\/10?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(-158 - 19*s**4 + 158) + (-s**2 + s**2 - 2*s**3)*(-3*s + 5*s + s).\nAnswer: 13*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 8*h + 9*h - 6*h + 2*h. Let d(g) = -7*g. Let b be 2*(-1 - 1 - 1). Suppose 0 = 5*l + 43 + 12. Determine b*z(x) + l*d(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 470 - 2*i - 470. Let b(s) = 3*s**2 - 4*s - 4. Let t(y) = -3*y**2 + 5*y + 5. Let z(q) = -5*b(q) - 4*t(q). What is z(p(d))?\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 103 - 722\/7. Which is the second smallest value? (a) -2\/3 (b) 2\/7 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2569 - 2566. Let k(m) be the first derivative of -m**4\/4 + 2*m**3\/3 + 3*m**2\/2 + 3*m + 1. What is k(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 34*n**2 - 21*n + 172. Let t be a(32). Calculate the highest common divisor of t and 144.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -1217*m**4 + m**3 - 3*m**2\/2 + 79*m + 157. What is the third derivative of z(t) wrt t?\nAnswer: -29208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 171 and 133.\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 g when two letters picked without replacement from sggxgsgjr.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1835248 divided by -152.\nAnswer: -12074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 2)*((0 - 1 + 2)*(3*p - 5*p + 0*p) + 0*p - p - p - p - 3*p + 5*p)*(-1 + 1 - 2*p**3).\nAnswer: 18*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 110404502 + -20?\nAnswer: 110404442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - 6. Suppose -3*t - 4*c + 1842 = 2*t, -4*t + 4*c = -1488. Suppose -31*w = -68*w + t. Calculate the lowest common multiple of k and w.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 771.3831 and -2.\nAnswer: -1542.7662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 7:08 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.012753, -0.4, -0.154?\nAnswer: -0.012753","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4*v + 2. Determine f(9).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wgmi when four letters picked without replacement from {w: 4, m: 2, i: 4, a: 2, g: 2, r: 1}?\nAnswer: 8\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 3, -429, -4, 4 in descending order.\nAnswer: 4, 3, 0.1, -4, -429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6861 - -12865. What are the prime factors of k?\nAnswer: 2, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 11*j - 15. Let f be o(12). Let t be f*(22\/(-6) - 1). Suppose -3*r + 118 + t = 0. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 11*g**2 + 186*g + 17. List the prime factors of k(10).\nAnswer: 13, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*1*5 + 4)*4 + -5.\nAnswer: 11 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 8) to base 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1930404 divided by 19698.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*(-1 + sqrt(3)))**2.\nAnswer: -2*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/7 + (-704)\/(-14) is divided by 5383\/294 + 98\/(-84) + 1\/(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(700)*4*4)**2.\nAnswer: 716800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.129 + 4.129. Sort 0.4, -32, 0, i in descending order.\nAnswer: i, 0.4, 0, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 11*m**2 + 10*m. Let k be c(-10). Suppose 8*w - 6*w - 20 = k. Is w a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.5 (b) 5 (c) -5 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 131 + -131.00526. Let a = q + -16.98034. Let p = a + 17. What is p rounded to three decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -327*q - 243*q - 2655 = 315*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) -0.3 (c) -1.669 (d) 15 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164660871?\nAnswer: 3, 31, 1770547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3948 + 2514. Let b = w - -2497. What is the hundreds digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d + 3*p + 39, 7 = -d - 2*p + 5 - 26 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 13 + 273*x + 273*x - 547*x - 12. Give y(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*s**2 - 36*s**3 + 68*s - 135*s + 67*s + 51*s**3 - 19*s**3.\nAnswer: -4*s**3 - 9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 515, 564, 651, 782, 963?\nAnswer: 1200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1017389?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 6 - 5 + (-1 + 0 + 0)*(-1 + 3 - 1))*((5 + 5 - 5)*(0*h + 0*h + h**2) + h**2 + 3*h**2 - h**2) + 0*h - 2*h**2 + 0*h as m + t*h + b*h**2 and give b.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-30960)\/26)\/5 - -1. Let g = q + 237. Which is greater: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 387 = 5*s - 2561, 2 = s. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16251458453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125153217.\nAnswer: 3, 7, 173, 11483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 3*x + 4 - 3, h + 14 = 2*x for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 14*n - 15*n. Let m be 30\/(-40) - n\/12*1. Factor 5\/3*a**4 + 0*a + m + 0*a**2 + 5*a**3.\nAnswer: 5*a**3*(a + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1188.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.73855 days in seconds?\nAnswer: 7494210.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + o - 14106 - 47829. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 6*j + 1. Let q be u(-5). Let v = q + 8. Suppose v*a - 79 = 25. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002293008 rounded to 5 decimal places?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/6*(-9)\/(-189)*(-7)\/(-2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10856411 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 2:08 PM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 170 = -5*u, 2*u + 49 + 16 = -a. Let c be 1 + (-7)\/(u\/10). Solve 0*z - c*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50284 and 156.\nAnswer: 150852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 1\/6, 151 in decreasing order.\nAnswer: 151, 1\/6, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45 + 46. Let i be 39\/(-12) + (n - (-14)\/(-8)). Let d be (i + (3 - -3))\/8. Put d, -0.04, 5 in increasing order.\nAnswer: -0.04, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 8*n - 7. Let b be c(5). Factor 201 + 16*a**3 - 201 + a**5 + b*a**4.\nAnswer: a**3*(a + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6723 at least 3987542\/593?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/3)*x**(-1\/4)*x*(x*x*x**3)\/(x\/x**(-4\/7)) assuming x is positive.\nAnswer: x**(323\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.04132 - -0.04132. What is the biggest value in 1\/5, -1\/6, -8, d, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 2 = 2*w. Suppose -2*d - 25 = j, -5 + 20 = d - w*j. Let c(t) = t**3 + 10*t**2 - t - 7. Let b be c(d). Which is smaller: -1\/4 or b?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 641 in 5, 12, 0.11?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of 3974999\/24*d**4 + 0 + 0*d - 12*d**2 + 2\/3*d**3. Let m be t(4). Round m to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 6*r - 12 = -2*r, -4*r - 12 = 0. Suppose -5*w + v = 10. Let n(z) = z**2 + 1. Give n(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 315483*q**2 + 1303*q - 1189667927 wrt q?\nAnswer: 630966*q + 1303","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 g when two letters picked without replacement from mzmg.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ymddsbmmmgmbsymm. What is prob of sequence gdd?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67.14 + -152.14. Sort 0, 0.1, r, 0.2.\nAnswer: r, 0, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -21*y**2 + y + 2*y**3 + 1 + 5*y**2 + 10*y**2. Let c be r(3). Let w(x) = -4*x + 2. Give w(c).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -2. Suppose 2*w + 3*p - f - 15 = 0, -4*w + 1 = -3*p. Solve o + 2*g = 4, g = 5*o + w - 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 r when two letters picked without replacement from {y: 4, r: 3}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65 + -68. Let r be 137 - f\/2*24\/18. Let m = r - 99. Calculate the remainder when 197 is divided by m.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 2*k - 3, -k + 14 = 4*k + w. Suppose 15 = -3*d, -n = -0*n - k*d - 27. Suppose 0 = -2*p - 0*p + n. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44947.47mm to micrometers.\nAnswer: 44947470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1049 or -1047?\nAnswer: -1049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 4*t - 8. Calculate the highest common divisor of t and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-5))\/((-4)\/(-40)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 3*i + 3*s + 37, 3*i + 2*s = -11 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*(a*a**(-2))\/a)\/a)**27)**(5\/6) assuming a is positive.\nAnswer: a**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r**2 - 6*r - 4. Give y(-6).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 4*v - 62 = 0, 2*x - 805*v + 803*v + 20 = 0 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -10*s**3 + 61*s**2 - 13*s - 4. Let g(m) = -2*m**3 - 2*m - 1. Give -6*g(q) + r(q).\nAnswer: 2*q**3 + 61*q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101202102021220 (base 3) to base 14.\nAnswer: a8b2b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3)*-1*1*4*1)**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3122 + -20?\nAnswer: 3102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 7006003, 4, -25 in ascending order.\nAnswer: -25, 4, 7006003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67512 = -683*y + 3011*y for y.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1669, -6503, -14523, -25747, -40193, -57879?\n\"Answer: -3*o**3 - 1575*o**2 - 88*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/(-55))\/(-5 + 201\/40)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -43?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k + 463*t = 460*t - 142, 0 = k + 25*t + 87 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -6*r. Let n(v) = -6248324*v**2. Calculate n(u(h)).\nAnswer: -224939664*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5466*k**3 - 11*k**2 - 5*k + 11007. Let l(p) = 8199*p**3 - 18*p**2 - 8*p + 16510. Let f(g) = -5*l(g) + 8*o(g). What is the derivative of f(q) wrt q?\nAnswer: 8199*q**2 + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -19, -38, -59, -82, -107?\n\"Answer: -c**2 - 16*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 25, 48, 71, 94?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1070653540 a multiple of 3156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 3*u + 50, 2*h + 30 = -0*h - 4*u for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 57*l**2 - 17*l - 153. Let r(m) = -20*m**2 + 6*m + 54. Let z(s) = -6*g(s) - 17*r(s). Let h(p) = -14*p - 46. What is h(z(t))?\nAnswer: 28*t**2 - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 277223702 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 0.1, 6, -10.2, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 58269485*t**2 - 596389*t + 61?\nAnswer: 116538970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 237430 - 237429.7. Let b be 6\/(-9)*(-6)\/14. Let r = -7 - -2. What is the third biggest value in t, b, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48620457 is divided by 1604?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*u = -89*u + 4. Which is the third smallest value? (a) -0.4 (b) 39 (c) -0.1 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*w**3 - 5 + 0 + 3 + (w**2 + 1 - 1)*(-2*w + 2*w - 2*w) + 0*w**3 - 3*w**3 + 4*w**3 + (3 - 3 - w)*(-3 + 3 - 2*w**2).\nAnswer: 9*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r - 2*r - 2*r**2)*((3*r - 6*r + 4*r)*(-r + 2*r + 4*r) + 4*r**2 + 10*r**2 - 5*r**2) as w*r**3 + o*r**4 + y*r**2 + x + u*r and give o.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of 47*t**7\/2520 - t**6\/720 + t**5\/120 - 7*t**4\/12 - 25*t. Let u(y) be the third derivative of n(y). Is u(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -1310514205?\nAnswer: 1310514205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 11*g**2 + 11*g - 8. Calculate q(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 + 1)*(q - q + 2*q) + 4*q - 5*q + 0*q - q + q + 4*q to l + d*q and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 10) to base 12\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -1\/15, -2\/15, 2\/51, 24.5, 2?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 8 (b) 0.2 (c) 2 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -17. Let p be (7 - (-4 + b))\/(3\/(-2)). Let l be (-5)\/(-20) + 4 + 2\/p. Solve l*g + 12 = g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -100556 and -4965 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -294266 + 294275. Suppose 5*m - 135 = -0*m. What is the highest common divisor of v and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16993 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2 = 4*z. Let j be (4 + -5)*3*(-4)\/(-3). Let k = 3 + -2. Which is the closest to z? (a) -2\/13 (b) k (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 + -4)*(-9)\/(-3). What is the remainder when (m\/42 - (-15)\/(-7)) + 47 is divided by 12 - (-6)\/9*6?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r. Let o(q) = -q**2 + 16*q - 21. Let m be o(14). Give h(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2055277?\nAnswer: 7, 89, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t**2 - 2*t**2 - 2 + 10*t**2 - t**2 to the form v + s*t**2 + a*t and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.7012 rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -691.1 - -691. Which is the closest to j? (a) 1 (b) 2\/3 (c) 4 (d) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*m - 9 = 2*d, 4*d - 3*m - 3 = 0. Let v = -5892 + 11787\/2. Is d less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.8 + 1.8. Let c be (4 - 8) + 1*2. Put c, -4\/7, q in descending order.\nAnswer: -4\/7, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 331 - -36?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.6, -9127, -3, 0.5 in descending order.\nAnswer: 0.5, -1.6, -3, -9127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 2*k - k**3)*(-k + k - 5*k).\nAnswer: 5*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001058932 to six decimal places.\nAnswer: -0.001059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) -2 (c) 3\/34 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from 0.018769.\nAnswer: 3.018769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4c27d (base 14) to base 7\nAnswer: 1406316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.63 - -0.61. Let g = 0.3 + -0.305. Let j = z - g. What is j rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -170.19 - -157.303. Let d = i - -0.087. Let v = d + 12.7923. Round v to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1109 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 -5 + 5 + (-3 - (4 + 3 + -2))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4\/8057 + 32248\/40285. Suppose -t - 8\/5*x**2 + 2\/5*x**3 + 2*x = 0. What is x?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2502 divided by -38639.\nAnswer: -2502\/38639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 13*s**2 - 15*s - 34. Let z be w(-12). Solve -5*r - z + 27 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 350421419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -28\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 168.067 - 168. Let n = -0.367 + a. What is the closest to -1 in 0.2, n, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 185 and 40453580.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**14*o*o*o*o\/o**(-1\/3))\/(o*o*o\/((o\/(o\/(o*o**14)))\/o*o))**(-20) assuming o is positive.\nAnswer: o**(-743\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -10\/3, 512, -0.6, 0.1, -2, 1\/5, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14554?\nAnswer: 2, 19, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j**3 - 37*j**2 + 22*j**2 - 19 - 45*j**2 + 60*j**2.\nAnswer: -6*j**3 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 48*q**2 + 6*q. What are the prime factors of h(2)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123941 is divided by 244.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 + 10 + 8 + 27.\nAnswer: -n**2 + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 7*m**3 + 10*m**2 - m + 1. Let z(n) = 3*n**3 + 5*n**2. Let b(a) = 2*q(a) - 5*z(a). Give b(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1206308*c + 8970 = 1206503*c for c.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18\/23 + -152\/253. Let f = 49.5 + -49. Which is the nearest to r? (a) -2\/5 (b) 1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -5*l**2 + 1\/12*l**4 + 0*l + 0 + 0*l**3. Let b(w) = 35*w. Calculate c(b(x)).\nAnswer: 70*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**3 - 6*h + 6*h)*(6*h**2 - h + h + (0 + 0 - h**2)*(-5 + 4 - 1) + h**2 + 0*h**2 + 9*h**2).\nAnswer: -72*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -11) + (0 - 0) - (-118 + 129)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -40, 2\/3, -0.5, -3\/14, -0.2, -62?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29536 and 608.\nAnswer: 561184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9996752 + 23172752. What is f rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 96 - 176. Let r = q + 236. Does 26 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62839285.\nAnswer: 5, 12567857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2238? (a) -1\/14 (b) 0.3 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 11 + 0)*(-3*z + 0*z - 2*z) - 1 - z + 1 + (4 + 0 - 2)*(-2*z + 4*z + 0*z) + 2*z - 4 + 4.\nAnswer: -25*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 - 100?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1151*x = -51933 + 7044 for x.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2*0.126\nAnswer: -0.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = -10*c + 2*c. What is the remainder when -61*(1 + -3 + 1) is divided by c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 24*m = 24. Which is bigger: m or -4\/135?\nAnswer: -4\/135","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1546008?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26054 is divided by 5180?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of 0*p + 0*p**7 + 0 + 0*p**6 - 1\/30*p**5 + 0*p**4 + 1\/168*p**8 + 0*p**3 - p**2. What is the third derivative of x(u) wrt u?\nAnswer: 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 23832, 191112, 645176, 1529418, 2987232, 5162012, 8197152?\n\"Answer: 23899*f**3 - 2*f**2 - 7*f - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (14*(-507)\/1638)\/5 - (0 - 1)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/262441 and -75\/3256?\nAnswer: 23094808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 41? (a) 0.1 (b) -9 (c) 5 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*((-10)\/(-4))\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + t - 4 + (4*t - 5*t - t)*(3 + 3 - 4) - 660*t - 2826*t + 779*t - 4989*t - 3459*t - 3980*t.\nAnswer: -15138*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = a - 8. Suppose 2 = 2*f - a. What is the greatest common factor of 14 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.29 - 0.3. Let c = -2.01 - j. Let o = 1 + c. Which is smaller: o or -2\/9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1dc + -1?\nAnswer: -1dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 1 + 0)*(c - 2*c**2 - c) + 5*c**2 + 5*c**2 - 5*c**2 + (-1 - 2 + 5)*(-c + c - c**2))*(10*c + 81 - 81)*(-1 - 1175*c + 1182*c - 7).\nAnswer: 490*c**4 - 560*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 11, l: 3, w: 3, j: 2}. Give prob of sequence wd.\nAnswer: 11\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 3:18 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/9)\/k**20)**24 assuming k is positive.\nAnswer: k**(-1456\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5273, 21140, 47599, 84650, 132293, 190528?\n\"Answer: 5296*j**2 - 21*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 66 = 3*b. Let l be (-6)\/9 + 3\/(27\/b). Suppose -5*n = -l*a + a - 26, n - 13 = 3*a. Sort 1, 3, n in decreasing order.\nAnswer: n, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -435 by -87.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(56\/12)*152\/(-399)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -567, -1104, -1619, -2106, -2559?\nAnswer: -2972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3499300 to the nearest ten thousand.\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -698, -679, -670, -671, -682, -703, -734?\nAnswer: -775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 8. Let d be (0 + 0)*7\/(-14). Solve d = 2*y - 6 + c for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5598747 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 4*j, 7 = l + 4*j + 22. Put l, 0.3, 9 in ascending order.\nAnswer: 0.3, l, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 8:50 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/7 - 1312\/(-224). Which is smaller: j or 45\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17133 - -17122. Which is the smallest value? (a) 0.4 (b) y (c) -0.02 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29669516 and 6620?\nAnswer: 1324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1)*(k**(1\/5)*k)\/k*(k\/k**0)\/(k\/(k*k**3)))**(-16) assuming k is positive.\nAnswer: k**(-256\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -209*d - 14. Let c be y(-8). Is 4*(c\/(-8))\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 2765.\nAnswer: -1\/553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fmmmmmmmmf. What is prob of sequence fmff?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33175*g**2 - 16570*g**2 - 16610*g**2.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of i**2\/2 + 31*i + 9. Suppose -6*r - 77 = -113. Calculate the remainder when z(r) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 8. Suppose -r*s + 15 = -0*s. Suppose 3*z - 4*y - 1 = 0, -13 = -4*z + 4*y - s. 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 first derivative of 5799*f*i**2 + 4*f*i*k**2 + 3*f + 35*i**2*k - i**2 - 756*i*k**2 + 2 wrt f?\nAnswer: 5799*i**2 + 4*i*k**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -5*l + 6. Let w be h(1). Calculate the highest common divisor of w and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2027595 to the nearest integer?\nAnswer: 1424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, q: 5, a: 1, i: 2, n: 1, c: 2}. What is prob of picking 1 a and 1 q?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of 2\/3*z**4 + 1\/10*z**5 + 0 + 4\/3*z**3 + 0*z**2 + 2*z. What is c in d(c) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 5*d - 27. Let r be l(6). Let g be (r*(-16)\/(-3))\/(4 + -2). Solve 4*a + 0*a = g for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2437 - 487. Is 26 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqs when three letters picked without replacement from {i: 1, s: 4, a: 3, q: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 404598 rounded to the nearest one thousand?\nAnswer: 405000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.05 - 0. Let b = -116.7 + 116.6463. Let u = t - b. What is u rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10692 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/4 - 605\/(-20). Suppose -y*u + 23*u + 14 = 0. Solve 1 = -4*l + 5*l + p, -u = -2*l + 4*p for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 13 = 5*z - 38, 24 = -4*z - 4*w for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/4 + 43*o\/4 - 41\/2.\nAnswer: -(o - 41)*(o - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9165943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 4*n**2 - 3*n + 2. Let y(z) be the second derivative of 5*z**4\/12 - z**3\/3 + z**2\/2 - 4*z - 33. Calculate -4*v(j) + 6*y(j).\nAnswer: 14*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -85*g**4\/24 - g**3\/2 + 10*g**2. Is c(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -90 in 0.1, -521\/44, 7?\nAnswer: -521\/44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, e: 9, w: 6}. What is prob of picking 2 w?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.11004 millilitres in litres?\nAnswer: 0.00111004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6827803\/167791 - 4\/(-13)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 27 in 12, -3, 2\/7, -3\/7, -4, -9.3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 889183926.\nAnswer: 2, 3, 19, 37, 59, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*z - 16*z - 26 = 5*n, -10 = -3*z - n for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*m + 15*m - 4*m)*(2*m - 3 + 3) + (-3*m + 0*m + m)*(-7*m + 5*m - 8*m).\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22113 - -30331130?\nAnswer: 31013303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of 3*l**5\/10 + 4*l**3\/3 + 13*l. Find the second derivative of a(v) wrt v.\nAnswer: 36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + 3. Let k be v(0). Suppose -k*o = 4*s + 7, s - 2*s - 1 = o. Suppose -10 + 2 = -r - p, 0 = o*r - p - 4. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*a + 19 = 0, 19*o - 24*o + a = -59. Suppose 0 = -4*d + o*s - 10*s + 825, 3*s + 630 = 3*d. Do 203 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.97 and -1.5?\nAnswer: 2.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0*n - 4*n + 2 = 0, d = 3*n - 5. Let b be d\/(-10) - (-9)\/5. Solve b*z = i - 9, 3*z - i + 14 = 2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -1 - 0 - -3) + (3005 - 2973)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -304.3 - -303.8. Which is the nearest to j? (a) 0.3 (b) 2\/3 (c) 3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105 divided by -21.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5*b**2 - 16*b**2 - 9*b**2 - b**2. Let l(z) be the second derivative of z**4\/12 + z. Determine h(l(r)).\nAnswer: -21*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 27, 62, 123, 216, 347, 522?\nAnswer: 747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 + -8. Let b(u) = -2*u**2 - 11 - 5*u**2 - 2704*u**3 + 11*u + 2706*u**3. Let i(d) = d**3 - 4*d**2 + 6*d - 6. Give w*i(k) - 6*b(k).\nAnswer: -k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 7*h**2 - 7*h + 5. Let s be y(-7). Let c be s\/(-30) - 2\/10. List the prime factors of ((-5)\/c)\/(-5)*-20.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 11:11 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -17*t**3 - 493*t**2 + 3*t + 97. Let n be s(-29). Let o(a) = -a**3 + 5*a**2 + 7*a - 5. Let l be o(6). Put l, -4, n in descending order.\nAnswer: n, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 172*n**3*u**3 + 34625*n**3 - 357273*n**2*u**3 + 1951*n*u**2 - u**3 wrt u?\nAnswer: 1032*n**3 - 2143638*n**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36.8 + 167.94. Round b to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**3 + 192*n**2 - 489*n - 64504. Determine b(-95).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*i - 1571118 - 275106. Suppose -5*d - i = -3*n, 3*n = -7*d + 8*d + 115389. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 26 + -22 - (-105 - (-2 - 0))) + 2.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2018310 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - 16 - 0\/1. Suppose 0 = -2*b - 2, -294*b = -3*z - 292*b - 1. Does 13 divide (t\/(-2))\/((-14)\/(-13) + z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*j**4 + 1 + (41*j - 41*j - 6*j**3)*(-4*j + 4*j - 2*j + (0 + 1 + 1)*(-j + 2 - 2) + 3*j + 2 - 2 - 2 + 3*j + 2).\nAnswer: -10*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -5) + -69 + 75 + 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 2*l = 72000000. Suppose y + y + l = 0. What is y rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 37 + 1?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 79, 91, 109, 133, 163?\n\"Answer: 3*a**2 + 3*a + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -5. Let s = 40 + w. What is the greatest common divisor of s and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m = 20*m - 20, -5 = 3*t + 2*m. What are the prime factors of 18\/1 - (40\/t - -9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5, -17, -37, -65?\n\"Answer: -4*o**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 11. Let x(y) = -3*y + 1. Let j be x(-3). Let n = j + -8. Is c less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 105*o**2 - 673*o - 2021. Calculate f(-3).\nAnswer: 943","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1036*b = -1043*b + 35 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10997 + 10996. Let s = 548004\/55 - 9964. Let j = s - -1\/11. What is the closest to y in j, 13, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**2 + 43*w**3 - 2 + 8*w - 66*w**3 - 3*w - 2*w to o*w**3 + t*w**2 + m + y*w and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -4.02. Let a = v - 2.32. What is the biggest value in -5, a, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 231657560 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -4 (b) -3 (c) -0.5 (d) 4 (e) -16420\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3*s - 2*s = -4, 5*d - 4 = s. Let z(g) = 3*g + 629. Let h(u) = -2*u - 628. Let l(c) = 4*h(c) + 5*z(c). Is l(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2182002143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*n**2 + 29*n**3 - 88*n**3 - 36*n**2.\nAnswer: -59*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -2 + (4 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 40910 + 422?\nAnswer: 41232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c - 12. Let f be i(-8). Find the first derivative of 4 - n**f + 1 + 3 - 3 wrt n.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 < 87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 48853923 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: What is the highest common factor of 70 and 2029650?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000034311771 rounded to seven dps?\nAnswer: -0.0000343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 258597\/4 - 65358. Let c = 709 + y. Factor 5\/4*k + 3\/4*k**2 - 1\/4*k**3 - c*k**4 + 1\/2.\nAnswer: -(k - 2)*(k + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(55)\/sqrt(5) + 4 + 4 + (1*sqrt(55)*2)\/(sqrt(5) - (sqrt(500) - sqrt(500)*-2)) + -2.\nAnswer: 27*sqrt(11)\/29 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 9*u**2 + 3*u - 11. Let v be x(9). What is the highest common divisor of v and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 0.11 (c) -4 (d) 1\/6 (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w - 2*a + 15 - 19, -2*a = -3*w - 21 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 2 + (50 - 56)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -5 + -1 - 3) + 0\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230 is divided by 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 0. Let x = 6 - n. Let h = -1.99 - 0.01. What is the closest to 1 in h, 0.2, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 4*m - 1. Suppose 5*c + 10 = 0, -10 = 5*g + 3*c + 11. Calculate the least common multiple of 7 and i(g).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*z = 20. Suppose z*p - 82 = -f, 4*p - 45 = 3*f + 13. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2.27162 (b) -1\/10 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45*r**5 + 4*r**4 + 19325*r**3 - 42601196*r**2 wrt r?\nAnswer: -2700*r**2 + 96*r + 115950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**2\/4 - 33*k\/4 - 15\/2 = 0. Calculate k.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or -0.3422?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 5*f - 1, 2*f = -c - 0*f + 5. Suppose -29*o + 23 = -6*o. Let h = o + c. Calculate the remainder when h is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 75 = 5*m, 765*o - 767*o = -15*m + 225 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 38\/(-323) + (-9)\/2*(-72)\/153. Suppose -5*k + 4 - 34 = -2*y, 0 = y - 5. Let z be 6 + 2 + 2 + k. Solve -p*f - 4*c + c + z = 0, -3*f + 3*c = 6 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1949.83 from -965.4.\nAnswer: 984.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 j when two letters picked without replacement from phpjjjjhjjpph?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*p - 8 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a microgram in nanograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((3\/3)\/(-4))\/((-5)\/80). Suppose -f - 10 - 3 = b*l, 4*f - 13 = -3*l. What is the remainder when 14 is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -111787, -111793, -111805, -111829, -111871, -111937, -112033, -112165?\n\"Answer: -c**3 + 3*c**2 - 8*c - 111781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 135981 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 446, 890, 1328, 1754, 2162?\n\"Answer: -r**3 + 3*r**2 + 442*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 468509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 99523, 1.\nAnswer: -4, 1, 99523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 10:17 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165129769 is divided by 757476.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 74353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 c when three letters picked without replacement from {n: 18, c: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 335*f + 9430. What is the thousands digit of b(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 224.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 5*f + 5 + 8, 2*i = 3*f + 11 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j**2 - 17*j + 17. Let n(u) = 6 - 9*u**2 - 14*u**2 - 6*u + 24*u**2. Calculate -17*n(g) + 6*x(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2085?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1200)*-1 + 5 + (sqrt(1200) + 1)*-5*-1)**2.\nAnswer: 2080*sqrt(3) + 19369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.062955 times 0.1\nAnswer: 0.0062955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 5*g - 5. Let h be 4\/24*-15*14\/(-5). What is w(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 4. Let c(k) = -2*k + 1. Let l be c(0). Solve 14 = -x*j - l for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - 15. Let w be (0\/f + (3 - 2))*13. Suppose -4*b + w = -5*l, 0*b - 2*b = 2*l - 2. Solve 5*k = b*k - 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 2*k - 4*s = -26, -3*s = -5*k. What is the second derivative of -k*f**2 - 2*f**2 + 5*f**2 + f + 3*f**3 wrt f?\nAnswer: 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 89 and 1424?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6371655847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3843 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 4*q**2 + 3*q - 3. Determine j(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*x + 5*x + 5*x - 3 - 7 - 1 to b + z*x and give b.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 0*b = -b + 101, 0 = b - 5. Calculate the smallest common multiple of 27 and h.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -z**3 - 8*z**2 - 17*z + 2791. Determine d(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 + (5 + 9 - 9) - 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -63*u + 1476. Determine d(23).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 86a (base 12) to base 4\nAnswer: 103102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -3*g**4\/2 + 2*g**3\/3 + 3*g - 2. Let h(l) be the first derivative of o(l). Suppose h(x) = 0. What is x?\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (708\/(-5900))\/(2\/((-30)\/3)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of 0*s**4 + 0*s - 11 - 2\/15*s**5 + 2\/9*s**3 + 0*s**2. Factor x(g).\nAnswer: -2*g**2*(g - 1)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 2)*(3 + j - 3) - j + 4*j - 2*j + (-j + 0*j + 3*j)*(3 + 0 - 2) + 2 - 2 + 2*j - 4*j - j + 3*j + 15*j - 18*j - 45*j.\nAnswer: -48*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((1 + sqrt(2)*-1 + sqrt(2))**2 - (-1*sqrt(162) + sqrt(162))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 11 - 13. Is w a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + (-27 - (-3522)\/66)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 + 29 = 4*f - 5*n, -5*f + 5*n + 75 = 0. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z + 3*r + 36, -343096 = 2*z + 4*r - 343100 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1517, 3042, 4567, 6092, 7617, 9142?\n\"Answer: 1525*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7000943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(5\/4)*x*x*x**(-5)*x**(-8)\/((x**(-14)\/x)\/x*x*x))**(-37) assuming x is positive.\nAnswer: x**(-629\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 6*o**2 - 8*o + 1. Let z be r(7). Let j be 20\/z*15\/(-10). Is (19\/2)\/(j\/10) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -18*s**2 + 7*s - 7. Let w(p) = -6*p**2 + 2*p - 2. Let d be (-1 + 26)\/5 + -19. Determine d*w(z) + 4*c(z).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -432786.5 to the nearest 10000.\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1184?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (35\/(-3) - -4)\/((-2)\/(-66)). Let k = 474 + z. What are the prime factors of k?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19066, -19064, -19062, -19060?\nAnswer: -19058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-17)\/(238\/(-7)))\/(2\/(-208)))\/2?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 5*w - 10 = 0, 26 = p + 3*p - 5*w. Calculate the smallest common multiple of 6 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 - -22254231?\nAnswer: 22254221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -31 + 11. Let j be (10\/c)\/(1\/2). Sort 2, j, 3 in descending order.\nAnswer: 3, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -109*z**4 - 105*z**4 + 217*z**4 - 150*z**2 + z**5 wrt z.\nAnswer: 60*z**2 + 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242 is divided by 38.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7305*f - 1 - 13930*f + 6872*f - 18517*f - 12320*f.\nAnswer: -30590*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 1:39 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -5*d**5 + 70540*d**4 - 1549900*d**3 + 6198050*d**2 - 2957295*d - 10775790 = 0.\nAnswer: -1, 3, 17, 14086","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-15))\/(117\/3705).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -36*d**6\/5 + d**5\/20 + 67*d**4\/4 - 40*d**2 - 16*d. What is the third derivative of f(i) wrt i?\nAnswer: -5184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*v**5 + 133*v**4\/5 + 1978*v**3\/5 + 2619*v**2\/5 + 972*v\/5 + 108\/5 = 0. Calculate v.\nAnswer: -3, -1, -3\/10, -2\/9, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 68045\nAnswer: -1\/68045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 766*m + 34. Let w be b(-3). Let z = w - -5203. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-912)\/(-72)*(-4 - -139) a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 126, 123, 116, 105, 90?\n\"Answer: -2*f**2 + 3*f + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 130618291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence idi when three letters picked without replacement from {d: 7, i: 3}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 418600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3197*l - 154. Does 17 divide f(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51452493 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v + 13. Let h be k(-2). Let z(d) = -d**2 - 5*d - 3. Let s be z(-3). Let b = -1 + s. What is the greatest common divisor of b and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27 - 3) + (11 - (16 + -6))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45400961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.16027*253\nAnswer: 40.54831","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -k**5\/20 + 7*k**4\/6 - 29*k**2 - 96*k + 4. Let a(m) be the first derivative of s(m). Differentiate a(u) with respect to u.\nAnswer: -3*u**2 + 28*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (245\/84)\/35*14.\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 3*s = -2*h - 40, 2*h - 2*s - 20 = 0. Suppose 5*b + 3*x - 12 = 0, b - h*x + 0 + 20 = 0. Factor 1\/3*c**2 + b + 1\/3*c.\nAnswer: c*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -912*j*o**3 + 11*o**3 - 34 wrt j?\nAnswer: -912*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -253875*g**3*t - 2*g**3 + 84728 wrt t?\nAnswer: -253875*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1743023, 4.\nAnswer: 2, 4, 1743023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 + 35 - (-4 - 15 - 3).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 475395 = -5*y + 475206, 0 = -3*d + 4*y + 141 for d.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4 + 1 + 5 - 3. Let v(m) = -m - 11. Let j(n) = 3*l(n) - v(n). What is the units digit of j(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 612 = -p, -2*p - 666 - 549 = 3*b. Let j = p - -944. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 23*b + 26718 - 499218. Is b a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74 and 1702.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -84, -124, -164, -204?\nAnswer: -244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/(-4) - (2 + -2 - 316). Calculate the highest common divisor of 30 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 0. Let w = -154 + 154. Solve u = -t - w*t - 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*c - 118 = -231*c + 143 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46 or 467?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -196346517?\nAnswer: -196346513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1\/3)\/((-885)\/(-882) + -1) is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*f**2 + 5 + 67*f**4 - 119*f**2 - f**3 + 35*f - 40*f - 5 wrt f?\nAnswer: 1608*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 11. Suppose -33 = z - w*z. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-21)\/(-70))\/((-423)\/2820))\/((-2)\/(-32)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2 = 14. Let m = t + 1. Suppose -3*u = -2*i - 258, -m*i + 69 = u - 0*u. What is the highest common divisor of u and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -101715*r**5 - 11798950*r**4 - 224587880*r**3 - 1358934480*r**2 - 1912375600*r - 188000 = 0?\nAnswer: -94, -10, -2, -2\/20343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17182*i**5*m - 776*i**3*m**3 + i**2*m**3 + 2811394*i**2*m**2 wrt i.\nAnswer: 1030920*i**2*m - 4656*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 492*w = 487*w. Suppose w = -5*q - 102 - 38. Which is greater: -29 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a year?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -683692.9235332 - -220.9081332. Let w = -683653 - g. Let d = w - -181. Round d to three dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/4 - 1982*p - 3928324.\nAnswer: -(p + 3964)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3764 divided by -1882.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 divided by 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 7*o - 1. Let f(i) = i**2 - 29*i + 22. Let s be f(28). Calculate t(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.2, -63, 2, -0.09, -4?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x + 26. Give i(19).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/4? (a) -0.21 (b) 0.3 (c) -4 (d) 0 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of q**7\/720 + 13*q**6\/720 - 17*q**5\/30 - 3*q**2. Let c(s) be the third derivative of w(s). What is the units digit of c(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 2\/11 (c) 23\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36905331 to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 4*c + 55 = 0. Let r(j) = 2*j**3 + 3*j - j**2 + 17 - 24 - 2*j - j**3. Let s be r(2). Which is bigger: c or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -160, -313, -462, -607?\n\"Answer: 2*t**2 - 159*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103186 is divided by 441.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*y + 14*y + y**4 + 11*y - 8*y**2 - 4*y**2 + 5955 - 5952 to the form g*y + n + p*y**4 + s*y**2 + c*y**3 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21090 is divided by 161.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of 7*w**4\/12 + w**3\/6 - w**2 - 18*w - 31. Give d(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + 1)**2*-5*1.\nAnswer: -9365 - 120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of 28\/27*j**3 + 20\/9*j**2 + 42 - 1\/18*j**4 - 1\/27*j**6 + 16\/9*j - 8\/45*j**5. Suppose k(h) = 0. Calculate h.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*o - 770 - 1151 = 39*o for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 53549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 4) in base 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1232 + 1227. What is the smallest value in -0.2, z, -0.5, 15?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 16*s**2 + 2*s + 10. Let o(f) = f**2 + 2*f + 16*f**2 - 3 + 14. Let z(q) = 2*o(q) - 3*v(q). Let g be z(-6). Round g to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 10:24 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 4*w + 7. Let o be a(-5). Solve -5 = -s - o for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - h + 0*h)*(-229 + 31 + 49 + (-1 - 1 + 3)*(1 + 0 + 0))*(4*h - 3*h - 2*h)*(-2 + 4 + 3).\nAnswer: -740*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -5*x + 36. Let b be (6\/5)\/3*-15. Let z = b + x. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1010 + -511. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 5, -5, 3, -18\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2684\/42 - (9 - 1719\/189). Solve v - 60 = -2*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o - 75 - 62 + 152 in the form y*o + j and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 14) in base 5?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 32911+3.9\nAnswer: 32914.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(40\/(-4)))\/(4\/(12\/(-1))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 9 - (24 + -15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 57*f*i**3 + 590*f*i**2 - f*i - 58*f - 13*i**3 wrt i?\nAnswer: 342*f*i + 1180*f - 78*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -1\/2*m**2 + 1\/12*m**4 + m - 1\/6*m**3 + 0. Suppose 8*i - 3*i - 10 = 0. Determine c(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 8 = 4*n - 5*n, 5*y + 20 = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (56\/(-2) + 3). Suppose -5*g - r - 5 = 5*i, 0 = -5*g - 4*i - 27. Let l be 1\/(g + (-57)\/(-18)). Which is smaller: 5 or l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 3*t - 1562. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 7*j**2 + 3*j + 3. Let m be (-5)\/25 - (-32)\/10. Suppose 0 = -y + m - 5. Let q be u(y). Solve x = -5*w, -q = -3*w - 2*w + 4*x for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (274 - 88 - 112) + 9\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, 4, 5, 2, -4 in descending order.\nAnswer: 5, 4, 2, -4, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -i**7\/105 + i**6\/30 - i**5\/30 - 6*i**2. Factor x(m).\nAnswer: -2*m**2*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-384)\/(-8))\/6 - (-11256 - -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -9*t**2 + 3*t + 3. Let l(p) = p**3 + p**2 + p. Let h(k) = l(k) + z(k). Let s be h(6). Let m be ((-4)\/(-6))\/(s\/27). Which is bigger: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3386, 3347, 3308, 3269?\n\"Answer: -39*b + 3425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**2. Let b be u(1). Let p = 3 - b. Suppose 35*g - 35 = -f + 40*g, 86 = 2*f - 2*g. Sort p, f, -3 in descending order.\nAnswer: f, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - j + 14. Suppose j*b = 2*b + 190. Let l(y) = -y**3 + 8*y**2 - 5*y + 5. Let n be l(7). What is the greatest common factor of b and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*d - 33*d + 6. Let u = -5124 + 5128. Put 0, 1, u, d in decreasing order.\nAnswer: u, d, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 55, 5, -1, -328 in descending order.\nAnswer: 55, 5, -1, -328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 297 - 581. Let d = j + 280.4. What is d rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000758433641 to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 1848 = -4*u, 5*u = -0*u - 3*l + 2310. Let h = -314 + u. Calculate the highest common divisor of 37 and h.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**5\/(y*y**3\/y))\/((y**(1\/3)*y)\/y)**8*(y*y**(-2\/13)*y)\/((y\/y**(-3\/4))\/y)*(y*y\/(y\/(y\/y**0*y)*y))**(6\/5) assuming y is positive.\nAnswer: y**(2207\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -169 divided by 46988.\nAnswer: -169\/46988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4))\/(2\/(-16))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -36 + -5?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/6 of a minute?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x + 7 = 40. Solve -x*m = -5*m + 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**4\/2 + 27*p**3\/2 + 45*p**2\/2 + 21*p\/2 = 0. Calculate p.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*c**2 - 3282*c + 657.\nAnswer: -3*(c + 219)*(5*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 at least -4.24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 119?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*v**3 - 31*v**3 + 24*v**3 - 6*v**3 - 3*v**3.\nAnswer: 13*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1822740 by -6.\nAnswer: 303790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-51)\/(-6) - 6)*12\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*n**2*t**3 + 3*n**2*t - 18496*n*t**2 - 3479*t**4 wrt t?\nAnswer: -18*n**2 - 83496*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + u - 6. Let x be s(0). Let q = x + 17. Does 11 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -616526 divided by 39.\nAnswer: -616526\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6557)\/(-1660) + (-3)\/(-60)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13894 + 4684. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*s + 0)*(12206086 - 6263*s - 12206086).\nAnswer: 12526*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u = 5*d - 143, -4*u + 1931 = -11*d + d + 1875 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 1 = -2*m - 4, 0 = 3*m - 5*j + 7 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -3. Suppose -5*k = -0*l + 2*l - 25, 0 = l - 3*k + 4. Let j be -9*4\/(-300)*l. Which is the closest to 2\/3? (a) -1 (b) p (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51.20000598 + 51.2. What is r rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 588404.7ml to litres.\nAnswer: 588.4047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of h**2\/2 - 15*h - 2502. Let b(f) = f**2 + 3. What is m(b(n))?\nAnswer: n**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, -9, 3\/4, -0.2, 22, 16 in ascending order.\nAnswer: -9, -0.2, 3\/4, 16, 22, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 584381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from meeseeeseemsmssse. What is prob of picking 1 m and 1 e?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 2*n + 10. Let r be q(10). Suppose r = -0*i + 5*i. Let h = i - 10. Does 8 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4890*k**5 - 2271*k**3 - 44192536*k**2 wrt k?\nAnswer: -293400*k**2 - 13626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -190 + 389. Suppose -6*m - q = -661. What is the remainder when (-4 - 0) + 4 + m is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = y + k + 1, 2*k = -4. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.087*0.04\nAnswer: 0.00348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -306?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4*p**2 - 50*p - 55. What is y(-12)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 834 (b) 2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14880, 29753, 44626, 59499, 74372, 89245?\nAnswer: 104118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 121*w**2 - 2*w. Let t(h) = -3 - 79741*h**2 + 3 + 79744*h**2. What is z(t(o))?\nAnswer: 1089*o**4 - 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1091 - -2.8909. Suppose -4*m - 5*y + 32 = 0, -2*m - 3*y - 3 = -21. Which is the closest to m? (a) k (b) -0.1 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3634, 7067, 10502, 13939, 17378, 20819, 24262?\nAnswer: 27707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 3)*(0*c - 2*c + 0*c) - 4*c + 3*c + 0*c + 2*c + 4*c - 2*c + 4*c - 4*c + 2*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 43 = 2*r - 2*w, 0 = 5*r + 3*w - 189. Suppose -2*m + r = -27. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3528230861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95893.\nAnswer: 7, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 48.3 times -70113\nAnswer: -3386457.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3162, 3147, 3122, 3087, 3042, 2987, 2922?\n\"Answer: -5*s**2 + 3167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46870 = -74*s - 46574 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -762952320546 - -18.1.\nAnswer: -762952320527.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 302045436 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + 1.2. Let q = -143.0288 - -0.0288. Let z = q + 144. What is the nearest to j in 1\/9, z, 0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g**2 - 258*g + 493. Let r be u(84). Let s(v) = -v**2 - 7*v - 6. Let j be s(-5). Let z = 0 - 1. Put j, z, r in increasing order.\nAnswer: r, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -4*n**2 + 19232*n - 172764 = 0.\nAnswer: 9, 4799","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**3 + 0 + 0 + (h**2 + h - h)*(3*h - h + 0*h) - 13*h**3 - 7*h**3 - h**3 to q*h**2 + u*h + w*h**3 + k and give w.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/17*c**3 + 16\/17*c**2 + 22\/17*c - 40\/17.\nAnswer: 2*(c - 1)*(c + 4)*(c + 5)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16042*g + 16052*g. Which is smaller: g or 3\/424?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 2096.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 329057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -114, -1, 5 in decreasing order.\nAnswer: 5, -1, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29*1\/39 + 197\/(-2561)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/12*472\/(-295))\/(4\/6).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53 - -57. Let s = -54\/85 - -4\/17. Which is the fourth smallest value? (a) k (b) 5\/3 (c) s (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - -1. Let o(l) = l**3 + l**2 - 2*l. Let w(u) = u**3 + u**2 - 2*u. Calculate h*w(y) - 3*o(y).\nAnswer: y**3 + y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 19. Let d(a) = 4*a**2 - 2. Does 12 divide d(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3024*g + 857*g + 85*g = -1193*g - 134134 for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 4*z - 17, -2*n = -3*z + 22 - 36. Let p(r) = -r**2 - 1. Let h(o) = 7*o**2 + 45*o + 5. Give n*h(c) + 5*p(c).\nAnswer: 2*c**2 + 45*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1149*j = x + 1147*j - 6, -12 = -2*x + j for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4583*p**4 - 5632*p wrt p?\nAnswer: 54996*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -359*y**3 - 44*y**2 - 8586*y + 101?\nAnswer: -2154*y - 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + 385.\nAnswer: 385.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 5*b - 54725, -5*b = -29 + 49. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23 + -1433?\nAnswer: -1410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 f, 1 g, and 1 d when four letters picked without replacement from jficjfggjfffgdcgff?\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 0*g - 3 = 0. Let h be -2 - 12\/(-3 + g). Is 93\/2 - 2\/h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 17\/2 of a meter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15324070?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 2:16 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001001968 rounded to seven decimal places?\nAnswer: 0.0001002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 3*t + 12, -3*d + 0*t + 2*t = 32. What is the common denominator of (-4)\/d*(1 - 1) - 16 and 1\/37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30033 bigger than 30427?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-11)*(u\/(u\/u**(-14)*u)*u)\/u*(u**1)**(-36) assuming u is positive.\nAnswer: u**(-61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*x**2 - 343 - 2*x + 5*x**2 + 3*x**2 - x**2 + 36 as c*x**2 + g + q*x and give g.\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w + 76. Let g(x) = 5539 + x - 5539. What is g(a(b))?\nAnswer: -2*b + 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8381074?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6467.142 hours?\nAnswer: 388028.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-36)\/(-1680)*6\/(972\/(-30))?\nAnswer: -1\/84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -18952 (b) 0.664 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 11*d + 50. Let z(h) = -7*h - 34. Let t(w) = 5*l(w) + 7*z(w). Determine t(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-8))\/(1\/8). Suppose -h - 3 = t*h. Let r(v) = -11*v - 1. Is r(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**2 + 0*q**2 + 3*q**2 + (0 - q**2 + 0)*(-4 + 4 + 6) + 3*q**2 - 2*q**2 - 15*q**2.\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 + -17. Let w(s) = -2*s**2 - s + 1. Let l be w(1). What is the least common multiple of o and (-1 - l) + 3\/3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*n - 14*n - 1 + 1.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -64540 + 33740. What is d rounded to the nearest 1000?\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 38 = l, 5*l - 46 = -2*f + 2*l. Suppose 0 = -4*k + f + 71. Calculate the remainder when 64 is divided by k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 43*x + 258. Let w be s(-6). Suppose 5*j = -5*g + 20235, j + w*g + 4*g = 4041. Is j 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 -5 + 319*(2 + 0)?\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/6885 and -52\/4725.\nAnswer: 240975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 * -1.486.\nAnswer: -0.11888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -108108 + 4?\nAnswer: -108104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 2:16 PM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2478*x**4 - 6*x**3 + 12*x - 2620. Let i(j) = -39648*j**4 - 98*j**3 + 196*j - 41916. Let y(v) = 49*h(v) - 3*i(v). Differentiate y(w) wrt w.\nAnswer: -9912*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x + 109 + x**3 - 113 + x**3 - 3*x**3 - 7*x**2. Let r(a) = -a**3 + 4*a**2 + 4*a - 2. Let h be r(5). Let d be t(h). Solve c = -c - d for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {s: 1, z: 2, o: 5, a: 1, l: 3, w: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 229134234 to the power of 1\/3, to the nearest integer?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -3, 188, 2\/9, -5.\nAnswer: -5, -3, -3\/4, 2\/9, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -298680809*a**3 - 11804800?\nAnswer: -896042427*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**2\/23 + 173206*x\/23 + 26453700\/23 = 0.\nAnswer: -86450, -153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15838*g**2 + 15810*g**2 - 31648*g**2 - 173*g**3.\nAnswer: -173*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13342992643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 135741 + -75?\nAnswer: 135644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10\/7*r**2 + 2\/7*r**3 - 2\/7*r**4 + 0 + 6\/7*r.\nAnswer: -2*r*(r - 3)*(r + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-290)\/58 - (-1 + (-58)\/14).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-118768)\/(-18) - 53\/(8109\/34)?\nAnswer: 2, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4*k = -0*q - 34, 4*q + 4*k - 48 = 0. Suppose 0 = -l + q*l. Let w = 16\/25 + -187\/175. Which is smaller: l or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 556*r + 8361 + 2166 = -4355 - 4578 for r.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 322 = -322. Let x be 3\/(-2)*8\/6*-1. Suppose x = -4*s + 10. Solve g = s*a - 5*a - 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 17 = 1033*d - 1029*d, 4*d = -71*t + 387 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -19*u**7\/210 + 4*u**3 - 26*u**2. What is the derivative of a(z) wrt z?\nAnswer: -76*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*-4*(-2)\/(-40)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + 12 + -17 + -13 + (-3 - -16).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by 47158353?\nAnswer: -1\/4287123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 19*v + 511. What are the prime factors of f(7)?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4075 rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 4*c**2 - c. Let v be k(-4). Suppose -v*m = -m - 102. Is 13 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) 7.3 (b) -4\/205 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5115\/10136 + -17\/181. Let s = -2\/7 + m. Put 4, s, 0 in decreasing order.\nAnswer: 4, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51 - -24. Let z = v - -26.5. Put 1\/3, z, 9 in decreasing order.\nAnswer: 9, 1\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 39 = -s, 0*s - 2*s + 3*j + 78 = 0. Suppose 575*p - 585*p = -1560. Calculate the highest common divisor of s and p.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 217302892 by -151.\nAnswer: -1439092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*r + 59650941 - 59649459 for r.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {m: 3, d: 17}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 4*r**2 - 6*r + 10. Let u(b) = -b**3 - 4*b**2 + 10*b - 7. Let i be u(-6). What is s(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/28*4*(-4)\/(-4).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = q - 0. Is 17 a factor of ((-17)\/2)\/((-8)\/q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8*(-3)\/6)\/2. Suppose 10 = l - b. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-105)\/2*(-16)\/4. Suppose -v = -0*v - a - w, 0 = -a - 1. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7023 is divided by 52?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 107.5 and 300861.2.\nAnswer: 300968.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2795429531 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 81*z - 1786. Let r be v(22). Is r less than or equal to 31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l. Let r(j) = -4*j - 1. Let h(s) = 6*f(s) + 2*r(s). Let o be (-18)\/(-63)*7\/1. Give h(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -i**6\/360 + i**4\/6 + 2*i**3 - 2. Let z(k) be the third derivative of t(k). Differentiate z(x) with respect to x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.85824, 41, 2 in increasing order.\nAnswer: 0.85824, 2, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 128.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 92284289 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*y**4 - 63*y**3 - 17*y**2 - 5434542 with respect to y.\nAnswer: 44*y**3 - 189*y**2 - 34*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*s - 3*s, w = -3*s + 37. Let r = -20 + w. Let i(p) = -p**3 + 9*p**2 - 3*p - 10. What is the tens digit of i(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a4 + -120253?\nAnswer: -12019e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 11*z = -52. Suppose -z = 2*i - 6*i - 4*a, 15 = 3*a. Suppose i*d = 9*d + 147. Round d to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -473, -945, -1417, -1889, -2361, -2833?\n\"Answer: -472*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 7 (b) -0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 106*f + 101*f + 391, 3*k + 291 = 3*f. Sort -5, k, -4.\nAnswer: k, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21793906 by 751514.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 9*o - 30. Let v = -12 + o. Is (-1 - 0)\/(v\/192) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.1 + 2.9. Suppose 0 = -5*z + 466 - 166. Let k = z - 542\/9. What is the smallest value in -2, k, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5028 - 5028.2. Sort -5, x, -3, -2, 3\/91 in ascending order.\nAnswer: -5, -3, -2, x, 3\/91","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 5*c + 6. Let l be f(-3). Let v = 2.7 + -0.7. Let o be 3*1\/3 - -2. What is the closest to l in v, o, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -244 + 244. Factor 2\/7*m - 8\/7*m**2 + s + 6\/7*m**3.\nAnswer: 2*m*(m - 1)*(3*m - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**5\/5 - 202*r**4\/5 - 672*r**3 - 8878*r**2\/5 - 8479*r\/5 - 552 = 0 for r.\nAnswer: -184, -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/97, 0.4, -2.2?\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49 - 48. Calculate the greatest common factor of 13 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -4*i**3 + 45*i**2 + 13*i - 84. Calculate s(11).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 8*l - 19. Calculate u(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4152474, -4152464, -4152448, -4152426?\n\"Answer: 3*k**2 + k - 4152478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i + 3. Let r be y(0). Suppose 0 = -r*f + 2*s + 7, 0*s + 1 = -5*f - 3*s. What is the closest to 1\/3 in 5, f, -4\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/10896 and -107\/54480.\nAnswer: 54480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 0, a + 12 = 4*a - t. Let p(z) = 2*z - 3. Let n be p(a). Suppose -n*c - 30 = -5*u - 10*c, 20 = -5*c. Does 6 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 divided by -1259?\nAnswer: 61\/1259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 335296 = 4*o. Let n be 1*4 + (-9)\/(72\/o). What is n rounded to the nearest one hundred?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r + 2*q - 68 + 56, 3*q - 18 = -5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 7 = -7*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from erereer. What is prob of picking 1 r and 2 e?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1196155*p + 342502 with respect to p.\nAnswer: 1196155","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 26. Suppose 0 = 17*p - 28*p. What is d(p)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 3*b + 2. Let h be q(1). Put 1, -3\/4, h, -0.04 in ascending order.\nAnswer: -3\/4, -0.04, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 6*m**2 + 4*m - 1. Let r = -4 + -3. Let j(q) = -11*q**2 - 7*q + 2. Suppose 3*z = u + 13, 10 = -3*z + 19. Give r*f(w) + u*j(w).\nAnswer: 2*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**3 - 2*q + 2*q)*(-9307 - 10240 + 4508 - 2052 - 3851 - 10123).\nAnswer: -62130*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -p**3*w*x**2 - 246*p**3*x + 55*p**3 + 2*p**2*x**2 + 425*p*w*x**2 + 2*p*w wrt w?\nAnswer: -p**3*x**2 + 425*p*x**2 + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -213 - -212.5. What is the biggest value in 5, d, -72?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f = 9*f + 30. Solve 0 = -4*i + f + 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 5, 15, 25, 35, 45?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**2 + u - 8. Let c be t(0). Let b(n) = -n**3 - 6*n**2 + 9*n - 4. Does 14 divide b(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 5:22 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*(o*o\/o**(-1\/3))\/o)*o*o**(3\/4)\/o*o*o)**(-2\/109) assuming o is positive.\nAnswer: o**(-17\/654)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.18 in -4, 792, 0.0897?\nAnswer: 0.0897","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t**5 + 213*t**4 + 957*t**3 + 1443*t**2 + 792*t + 108 = 0. Calculate t.\nAnswer: -6, -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (5 + 0 - -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -v**2 - 12*v**5 - 31*v - 53*v - 40*v wrt v?\nAnswer: -720*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**4\/15 - 26*u**3\/3 + 196*u**2\/5 + 48*u = 0.\nAnswer: -1, 0, 6, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 + 37. Find the second derivative of 5*f**4 + w*f + 21*f**2 - 21*f**2 wrt f.\nAnswer: 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62712 is divided by 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27*(-9)\/(-36))\/(99\/132)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.97661 millennia in centuries?\nAnswer: 459.7661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 16*s**2 - 3*s - 27. What is the remainder when d(-17) is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9738543?\nAnswer: 3, 797, 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 125\/(-15))\/((-68)\/408).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3*(sqrt(34)\/sqrt(2)*4 + 4 + sqrt(68)) - (sqrt(17) + 5*(-3 + sqrt(17)) + (sqrt(68)*1)\/sqrt(4))).\nAnswer: -150*sqrt(17) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**6*j*j*j**10*j*j**(-6)*j*j*j*j**3)**4 assuming j is positive.\nAnswer: j**76","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5.69? (a) 14\/71 (b) 2\/7 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -13*c**2 - 25*c - 130. Let t(o) = 6*o**2 + 12*o + 59. Let n(v) = -5*q(v) - 11*t(v). Calculate n(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 9*f + 4. Let y be w(-9). Let t = 73 + -63. Solve -y*z - z = t for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -67 + 97. Let n be 5\/t + 11\/(-18). Put 2\/3, 0, n in decreasing order.\nAnswer: 2\/3, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 0*w + 1 + 1 - w. Suppose n - 3*d - 7 = 0, 7 + 2 = -5*n + 4*d. What is u(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -g**5\/12 - 16*g**2. Let y(m) = -3*m**2. Calculate y(r(s)).\nAnswer: -75*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -305*g**2*o**3 + 16*g**2*o + 12*g*o + 99*g + 6*o**3 + 2*o**2 wrt g.\nAnswer: -610*o**3 + 32*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1111330 - -112013001?\nAnswer: 110301011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 629350 is divided by 76?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3 + 2199*i**2 + 401865*i - 404067.\nAnswer: 3*(i - 1)*(i + 367)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -81 + 38 - 313 - 2*z**3 + 13*z**2 + 0*z**3 - 14*z**2 to f*z**3 + n*z**2 + h*z + r and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -575*j**2 - 464792 + 464792 to s + h*j + n*j**2 and give n.\nAnswer: -575","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (-105678)\/(-95) + (-1)\/(-5)*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 45*j + 7. Let x be d(-1). Let g be -1*(x + -3 + -1)*-1. Let s = g - -107. What is the remainder when s is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -252 - -272. Let k(q) = q**3 - 5*q**2 - 4*q - 6. Let o be k(6). Suppose -o*t = -t - d. Solve -y - t = 2*r + r, 0 = -2*y + 5*r + 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1131b (base 14) to base 13\nAnswer: 16024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 11*c**2 - 27*c + 15. Let r be t(13). Solve -4 = -r*j - 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2379 is divided by 43.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-24)\/q))\/q**12 assuming q is positive.\nAnswer: q**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)*-5*2 - (sqrt(66) - (sqrt(66) - 4*sqrt(66)*5)))\/((sqrt(96) + sqrt(96) + (sqrt(96) - sqrt(96)*-5)*1)*2).\nAnswer: -15*sqrt(11)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 10480.16 to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - r = 0, r - 20 = 5*g. Let c = g + 7. Sort 2, -5, c in decreasing order.\nAnswer: c, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xy when two letters picked without replacement from fyffyfffxyfq.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 7*r**2 + 5*r - 1. Let u be p(-6). Let b be (5*-1)\/(1 - 2). Solve b*c + 8 = -4*g, -c - 5 - u = 5*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/3 - 9*d**2 - 19*d - 29\/3.\nAnswer: (d - 29)*(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*w**2 + 78*w**2 + 269*w - 269*w + 37*w**2.\nAnswer: 194*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 5*i = -5*h - 80, 4*i = 486*h - 483*h + 91 for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21607*n - 21607*n + 4*n**3.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/9 - 3982\/30. Let c = u - -14539\/110. Find the common denominator of c and (15 + -29)\/140 + 4 + 872\/(-180).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*j = 119*j - 30 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/2*3\/2. Suppose -39 - 6 = -9*d. Suppose 2*b = -w - 4 + d, 0 = -3*b. Which is greater: w or f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 70 + 53. Let z = r + -118. Which is the third smallest value? (a) -4\/9 (b) -2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a gram in milligrams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 261*u - 81. Let f(h) = 13*h - 4. Let n(r) = -81*f(r) + 4*i(r). Let z(g) = g. Calculate n(z(b)).\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -1. Let q(z) = 9*z + 1. Let d(l) = 12*l + 2. Let b(n) = 7*d(n) - 9*q(n). Let k(v) = v**3 - 3*v**2 - 2*v. Let a be k(3). Give a*c(u) - b(u).\nAnswer: -3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vdgkggbydkgkdkdkkkyy. What is prob of picking 1 v, 1 d, 1 g, and 1 y?\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -36 or 1385685?\nAnswer: 1385685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2)*c)\/(((c*c**(-4))\/c)\/c)*(c**1)**4*((c\/(c**(-4)\/c))\/c**(3\/7))\/(c**(-2\/9)*c**(-3\/5)) assuming c is positive.\nAnswer: c**(4534\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 4\/7, -3, 0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -73*k - 21. What is x(-2)?\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 226940 to the nearest 1000.\nAnswer: 227000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1852*a**3*k**3 - 2*a**3*k - 72*a**3 - 27*a*k**3 + 253*a + 2 wrt k?\nAnswer: 11112*a**3*k - 162*a*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, 275, -0.375, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -d**9\/110880 - d**8\/18480 - d**7\/9240 - 11*d**5\/60 + 9*d**2. Let w(t) be the third derivative of h(t). Factor w(s).\nAnswer: -6*s*(s + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*q**4 - 122616*q**3 - 137937234*q**2 + 2890099992*q - 15000136563.\nAnswer: -3*(q + 2281)**2*(3*q - 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwdsdswgwswdswgssg. Give prob of sequence gwg.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**5\/3 + 76*c**4 + 146*c**3\/3 - 138952*c**2 + 832352*c\/3 - 138624 = 0 for c.\nAnswer: -76, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(9\/3 + -4). What is the nearest to q in -5, 8, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1154 divide 1955644468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257 is divided by 133?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 87000 rounded to the nearest one thousand?\nAnswer: 87000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5*7*8\/(-28)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.39 rounded to 1 decimal place?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17077 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -270*l**2 - 5074 + 2*l**3 + 5074.\nAnswer: 2*l**3 - 270*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**2 - 3*f**3 + 4*f + 213403*f**4 - 213275*f**4 + f**3 to the form t*f**2 + h*f + m + s*f**3 + u*f**4 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -3 + 0 + 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 127 + -124 + 1 + 0 + 0 + 17\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -509135887 to the nearest 1000000.\nAnswer: -509000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - -1*170 - -2. Suppose -2*n - 3*u = -35, -u - 693 = 4*n - 738. Calculate the greatest common divisor of n and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0010381 rounded to 5 decimal places?\nAnswer: -0.00104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + (-45)\/(-6))*36\/27. What is the derivative of 40 + 41 + 37 - 26 - 154*w - r wrt w?\nAnswer: -154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 - -20. Let k(p) = -2*p**3 + 28*p**2 + 22*p + 115. Let t be k(15). What is the nearest to -0.1 in t, w, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = i + 12. Which is bigger: i or 3\/148?\nAnswer: 3\/148","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -9*w**3 - 1 - w**2 - 3*w**3 + 3*w**2 - 8*w**3. Let o be z(-1). Let d = o + -64\/3. What is the closest to d in -2\/13, -2, 2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22e79 (base 15) to base 9.\nAnswer: 178556","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110111 - -1010111001001011?\nAnswer: 1010110101010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -ba7b?\nAnswer: -ba7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*q - q - 28. Suppose -d = -q*d + 384. Calculate the greatest common divisor of 16 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1052, 4319, 9760, 17375, 27164, 39127?\nAnswer: 53264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/14 + 65\/(-91). Is 22 a factor of (350\/8 - f)\/((-2)\/(-8))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -2*v**5\/15 - 9*v**3 - 2. Let p(l) be the third derivative of t(l). Let j(c) = c**2. Give j(p(a)).\nAnswer: 256*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r = 7*r. Suppose 608 - 106 = 2*y + 5*z, r = -5*y - 2*z + 1255. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 10) to base 15\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o + 2*i + 6, -6*o + 4*i = -7*o + 15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 529 * -11.\nAnswer: -5819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(1124\/280 + -4). Let v be 106\/(-5) - (-56)\/i. Is v < -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29990 + -54?\nAnswer: 29936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: f (base 16) to base 9\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -2*j**3\/3 - 20. Let x(l) = 3*l**2. Calculate n(x(y)).\nAnswer: -18*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 20 - 2 = 0. Suppose -42*h = 13*h + 49*h - 4576. Calculate the highest common factor of h and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8956193 <= -8956193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29 or -4945\/167?\nAnswer: -4945\/167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 3\/28, 2\/346205.\nAnswer: -0.4, 2\/346205, 3\/28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -27. Suppose -r = -c + 15. Let a = 188 - c. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 6*b. Suppose 4*q = 5*r - 6, 2*q + 4 = -r + 8. Let w(g) = -4*g**2 + 7*g**r - 8*g**2. Give w(k(f)).\nAnswer: -180*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n - 12*n + 2*n)*(-110*n - 296 + 296).\nAnswer: 1650*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5034590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-153)\/(-102)*4\/(-15)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**4 + 4842*f**3 + 586068*f**2 - 1191528*f = 0.\nAnswer: -1482, -134, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((-9)\/(-12)) - 0. Let n = -0.005 + -3.995. Which is the closest to 4? (a) k (b) 1\/2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -841 (base 14) in base 13?\nAnswer: -980","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 13 = -2*k, 5*k - 232*n = -237*n + 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 2274*t + 23 - 14.\nAnswer: 2274*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11116573?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000 - -11100000010?\nAnswer: 11100010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 57655186.2 and -1683.77.\nAnswer: 57653502.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9163187 hours to nanoseconds.\nAnswer: 3298747320000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-4))\/s**(-3))**(-21)\/((s*s**(-4))\/((s**(-2\/9)\/s*s)\/s)*s**(-4)*s*s*s*s**5) assuming s is positive.\nAnswer: s**(-20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*-73.98412.\nAnswer: 813.82532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 167543 to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 at most as big as -52946\/10711?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41560 is divided by 10381?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -37*t + 2776. Calculate o(75).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1659 - 4?\nAnswer: 1655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 87 + -21. Suppose 3*j - 3*w - p = 0, 2*j + w - 88 = -2*j. Suppose 5*l = 2*m + j, -50 = -5*l - 6*m + m. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from zkttzknzzznknkzkz.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilometer in centimeters?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66 divided by 1.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.01 + 4.01. Let r = n + -3.97. What is r rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (417*r - 245*r - 239*r)*(0 + 2 - 1)*(0 + 2 - 4).\nAnswer: 134*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v - v + 2*v)*(-4*v - 3 + 4*v - 3*v) + ((3*v + 2*v + v)*(0 + 1 + 0) - 4*v + 0*v + 3*v)*(-2*v + 0*v + v).\nAnswer: v**2 + 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - x - 1. Let h be (-4)\/(-10) - (-104)\/(-10). Let y(u) = -12*u**2 + 10*u + 10. Calculate h*n(d) - y(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01676 to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10321901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert a96948 (base 12) to base 8.\nAnswer: 12177310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -3*w**5 - 2214*w**4 - 403986*w**3 + 1676088*w**2 + 4475373*w - 12387690 = 0.\nAnswer: -371, -3, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4252253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2. Let m(h) be the first derivative of 76*h**3\/3 + 480. What is u(m(x))?\nAnswer: -5776*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 6*p - 41. Let s(n) = n - 8. Let v(c) = 4*a(c) - 22*s(c). What are the prime factors of v(6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.28 + -2.28. Let x = -386.2 - -474. Let q = x + -88. Which is the second biggest value? (a) y (b) 0.4 (c) q (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.2 take away 13.5819467533?\nAnswer: -18.7819467533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 21*s**2 + 2*s + 8. Suppose 49*c - 4188 + 954 = 0. What is the smallest common multiple of j(-2) and c?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -59 > 9793803?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/1656? (a) -1\/4 (b) 0.4 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-10)*5\/(-4). Let c be (-41)\/984*15*4\/1. Put 4, s, -0.5, c in ascending order.\nAnswer: c, -0.5, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 2*k**4\/9 - 31604*k**3\/9 + 186226778*k**2\/9 - 53880585064*k + 52318225403208 = 0.\nAnswer: 3438, 4463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 12:23 PM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = f - 1 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 12:52 PM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -537 * 0.178917.\nAnswer: -96.078429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/5 (b) 1340 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 6*n + 12. Suppose -3*f - 4*q + 75 = -23, -f - 5*q = -51. Suppose -3*r - 11 = -f. Give w(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 6:00 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -170*v - 504. Give d(-5).\nAnswer: 346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 21*h**2 - 2*h + 1. Let v be s(1). Suppose -5*x = 5*q - 40, -5*x - q + v = -0*q. Solve x = -0*o - o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -68.000235 + 68. What is s rounded to 5 dps?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1188474 and 5348133.\nAnswer: 10696266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 4*t**2 + 12*t + 2. Determine v(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 760224 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -379.318 times 1.48?\nAnswer: -561.39064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - 1)*-17*(-96)\/(-72). Calculate the greatest common factor of r and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -73 + 72.2. Is -7 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 48*w = -44*w + 2, 0 = 2*w - 8. Let d(s) = -s**3 + 2*s**2 + 2*s - 1. Let h be d(3). Which is bigger: c or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -11 - 6\/(-9)*-6. Let a be 1\/2 + m\/(-30). Put 3, -2, a in increasing order.\nAnswer: -2, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**3 - 2*v**2 + 11*v - 11. Let y be 1\/(3 + 33\/(-12)). Suppose -2*r - y*r = 36. Let q(g) = -g**3 + g**2 - 6*g + 6. Calculate r*d(c) - 11*q(c).\nAnswer: -c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 781 and -5687499.\nAnswer: -5686718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -510356, -510589, -510822, -511055, -511288, -511521?\n\"Answer: -233*f - 510123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -863*t + 854*t - 45 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62 - -93. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2833 and 4045524?\nAnswer: 2833","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -35 + 19 + (5 - 1). Let t(s) = -2*s**2 - 21*s - 42. Let o(m) = 3*m**2 + 31*m + 64. Let x(b) = 5*o(b) + 8*t(b). What is x(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*z - 8*z - 50. Let v = 412 - z. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00022773 to 5 decimal places.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2529 + -733. Suppose x = 2*y - 8894. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20150806 divided by -438061?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, 0.5, 8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 898746 is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 9 + 1 + 4*q)*(-358 - 91 + 75) as k*q + d and give d.\nAnswer: 2618","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10*48\/280)\/(0 + 3\/(-14)). Solve -36 = -4*o - 2*b - 3*b, 0 = -2*b + y for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 3)*(215*z - 109*z - 148*z) + (6*z + z - 2*z)*(1 + 4 - 2) as o*z + x and give o.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -6*p**6\/5 - 27*p**2\/2 - 17*p. Differentiate g(a) wrt a.\nAnswer: -144*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 + 5 - 2 = 16*t. Solve 0 = 3*g + t*z + 10, 2*g - 153*z + 9 = -154*z for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b3290c - -12?\nAnswer: 1b32920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 203 and 66613?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5054 is divided by 2233?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 6*r**2 + 15*r + 34. Let z be u(10). Let t(i) = z - 584 + 115*i. Let l(c) = 2*c. What is l(t(s))?\nAnswer: 230*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 19*a**2 + 2*a + 43. Let c be d(-19). Suppose c*o - 6*o + 417 = -4*j, o + j = 402. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -h**3\/3 - 3*h**2 + 7*h - 1. Let x be b(-6). Solve x = -z - 4*k, -3*k = z - 3 + 8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 - 3*w + 3*w)*(0*w + w + 2*w) + 20403*w - 4*w**2 + 9*w**2 + 8 - w**4 - 20400*w.\nAnswer: 2*w**4 + 5*w**2 + 3*w + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82, -73, -62, -49, -34, -17?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000094439 to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*g - 6 = 0, -c - g = -5 + 2. Suppose 0 = -3*s - 0*s - c*s. Solve -3*p - 5*y + 20 = 0, s = 4*p - y + 2 + 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -8*3\/(-12) + (0 - -1). Suppose 771 = 4*b + s, -i*b + s = 3*s - 577. List the prime factors of b.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 2379006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 546567*o**2 - 19*o + 21. Is k(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -84, -194, -348, -546, -788, -1074?\nAnswer: -1404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -30*f + 106. Let y be o(3). Solve -y*b = -17*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 117936 and 95359680?\nAnswer: 667517760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**1*s*s**(-2)*s**(1\/2)*s**(-1) assuming s is positive.\nAnswer: s**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 33*f**2 + 4*f - 56. Let z(v) = v**3 - 34*v**2 - 4*v + 52. Let p(a) = -5*r(a) - 4*z(a). Give p(29).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -291*q**5 + q**4 - 2*q**2 + 5657*q wrt q?\nAnswer: -5820*q**3 + 12*q**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1978\/(-1247))\/23 - (-60)\/29. Solve a = f, 0 = -5*s - 4*a + 8*a + 7 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 1\/(-5) + (-1524)\/(-420).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 13*r**2 - 11*r + 11. Let s be g(-12). Suppose -3*h = -0*h + 9. Is s less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -186 times -1\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-106)\/(4 - 42\/9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 33*c**2 + 46*c + 232. Is n(51) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*x**2 - 32*x**2 + 48*x**2.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2288, -2320, -2402, -2558, -2812?\n\"Answer: -4*z**3 - z**2 - z - 2282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 54?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 9*t - 5*t - 16 = 0, t = -j + 3 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 101768 and 904?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(468) + -2*sqrt(468) - ((sqrt(468) + 0 + sqrt(468))*3)**2 - (sqrt(624)\/(sqrt(12)*2))\/(sqrt(8)\/(-2*sqrt(2))).\nAnswer: -16850 - 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 93.32 + 1.68. Let t = 95.1 - q. Let p = -61 - -61.4. Which is the nearest to -2\/5? (a) p (b) t (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 24*k - 66. What is the units digit of c(24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74 = 4*b + 3*y, 0 = -74*y + 75*y - 18 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1354.\nAnswer: 2, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -246 + 266. Let h = 67 + -29. Let l be h\/3 - (-1)\/3. Solve -x*u + 0*u = 5*v - l, 4*v - u = 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-8)*(j*j**(-4\/7)\/j)\/j)**(-15\/8))**(2\/45))**(-30) assuming j is positive.\nAnswer: j**(-335\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 6:01 PM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of f**6\/120 - f**5\/60 - f**4\/12 - 2*f**3\/3 - f**2 - 130. Let d(v) = -1. Give 4*d(q) - p(q).\nAnswer: -q**3 + q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*j + 2673 = 183*j - 22*j for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38242 = 5*n - 38317 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((5*(sqrt(95)*2 + sqrt(95)) - sqrt(95)) + (-3*(sqrt(95)*4 - sqrt(95)) + sqrt(95) - sqrt(95)))\/(-5*2*-2*sqrt(245)))**2.\nAnswer: -57\/392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*o + 4*u, 0 = -3*o - 0*u + 4*u + 9. Suppose 0 = -i - o*i - 5360000. Round i to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 10*y**2 + 8. Let s be b(-10). Which is smaller: 7 or s?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 5*p + 6. Let y be l(5). Let m(v) = 8*v - 5. Let g(b) = -7*b + 5. Let j(h) = -4*g(h) - 3*m(h). Is j(y) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of 3\/5*n**5 - 3\/2*n**2 + 2 + 0*n + 0*n**4 + 0*n**3. What is the second derivative of b(i) wrt i?\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-4\/5)*j*j)\/(j**(-2\/5)*j*j)*j**(-6)*j**7)**(-3\/26))**(1\/39) assuming j is positive.\nAnswer: j**(-4\/845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 680670 divided by -15126\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 64 - 119. Let m = i - -53. Let s be (m - (-35)\/15)\/1. Is 1\/11 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27325, -57092, -86859, -116626, -146393, -176160?\nAnswer: -205927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -67 - -62. Let u be ((-16)\/24)\/(2\/9) - q. Factor u*t**2 + 39 - 14*t + 34 - 73.\nAnswer: 2*t*(t - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 128853816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110 divided by -6.\nAnswer: -55\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -122 + 44. Let d = h + 98. Calculate the smallest common multiple of d and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.279617 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 9*q + 4. Let m be w(5). Suppose 24 = 4*b - u, u - m = -4*b - u. What is the remainder when b is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16115089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 7. List the prime factors of 6 + (-3 - (o + -1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5740?\nAnswer: 2, 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 7*a**2 - 3*a + 10. Let h be v(6). Let g = 179 - h. What are the prime factors of g?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -138*d**6 + 313*d**2 wrt d?\nAnswer: -16560*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(17) + 2 + (-5*sqrt(119))\/sqrt(7).\nAnswer: -4*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 222\/240 + (-93)\/(-24) + -4.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**1)**(-2\/17) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -12*j - 6. Let y be k(-9). Let g = -72 + y. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 5939*p = -5936*p - 6, 10 = 26*q + 5*p for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.8215 + 0.1785. Let h = -1 + -2. What is the nearest to a in 3\/7, -0.3, -1\/3, h?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -42*w + 49 + 30. Let t(i) be the second derivative of 5\/6*i**3 + 1\/2*i**w + 28*i + 0. Determine t(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ekkkkkaakmkmkkkk. What is prob of picking 1 m, 1 a, 1 k, and 1 e?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 7*v - 3*v + v = v - 36, -5 + 49 = -4*v for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75 + h**3 - 75.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 76 - 100. Let u = y + 25. List the prime factors of -14*(u - (-132)\/(-8)).\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -111, -546, -1271, -2286, -3591, -5186?\n\"Answer: -145*y**2 + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.1, -0.06, -4, 4, -13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -4*t**5 - 20*t**4 + 96*t**3 - 16*t**2 - 128*t = 0.\nAnswer: -8, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1 - (2\/(-5) + 408\/(-5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x**3 - 10*x - 3 + 7*x + 6*x - 2*x in the form c*x**2 + r + p*x**3 + b*x and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2150 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*u**2 + 25*u**2 - 19*u**5 + 54*u**2 wrt u.\nAnswer: -1140*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 - 2021d?\nAnswer: -20217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -22 times -0.016\nAnswer: 0.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (0 - (7 - 16))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + -3 - sqrt(117))**2*1*5 + ((0 + sqrt(13))**2*4 + -3 + sqrt(52)\/sqrt(4))*-2.\nAnswer: -53 - 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20970490.\nAnswer: 2, 5, 19, 37, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of 4489*z**6\/600 + 67*z**5\/30 + 5*z**4\/24 + z**2 - 6. Suppose r(d) = 0. What is d?\nAnswer: -5\/67, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2045 - 2?\nAnswer: -2050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 170, 698, 1590, 2858, 4514?\nAnswer: 6570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - 2. Let p = -5014.3 + 5013. Sort p, k, -2\/19, 3 in increasing order.\nAnswer: k, p, -2\/19, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(15\/6)*(-270)\/648\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10013705*i**3*t + 36*i**3 - 359*i**2 + i + 1 wrt t.\nAnswer: 10013705*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1546 - 1649) + 113 + 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 366*c**3 - 14*c**2 - 32*c - 144 wrt c?\nAnswer: 2196*c - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -43. What is the remainder when 73 is divided by u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4700 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 2:55 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38178 and 1512?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.0731 - 0.0731. What is the closest to 10 in 1, 2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4231564925?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57\/20 - 1\/4 - (-3704)\/18520?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 c when three letters picked without replacement from cchcchcc?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 31 = -5*g - 5*x, -3 = x for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4079 divided by -965?\nAnswer: 4079\/965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 2*o**2 + 8*o - 3 + 5*o**2. Suppose -107*p = -81*p - 130. Let n(v) = v**2 + 2*v. Let x(u) = p*n(u) - q(u). Give x(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 2*r**2 + r + 5. Let l be i(4). Let y = 28 + l. Calculate the remainder when 19 is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*n + 505*n + 33*n - 17720 = 0 for n.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 4*v + 4. Let g = 9 + -4. What is the least common multiple of (-8)\/(-4) - (1 - (6 - 2)) and h(g)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 898*a + 902*a + 24 = 0, 0 = -12*h + 2*a - 44 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(2*z + 0 + 0) + 17*z + 15*z - 13*z.\nAnswer: 15*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 16 + 7*f**3 - 3*f**3 - 3*f**3 + 10*f - 5*f**2 - 3*f**2. Let b be d(6). Solve 5*o + i = -29, -b*o + 2*o - 30 = 5*i for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, b: 2, a: 2}. Give prob of sequence qaqb.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1232\/(-1078)*(7\/(-2))\/(5\/10).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4 - -0.3. Let p = 3.027 - 0.027. Is a bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 2*q = 5*l - 495, -4*l = 3*q + 262. Let v = q - -51. Let m = v + 46. Solve 2*h = 3*h - m for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 663 is divided by 478.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 83*n - 163. Let j be b(2). Suppose h - 2*y = -j, 26*y = 5*h + 21*y - 5. What is the second smallest value in 11.3, 0.4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 255907457?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 10*o + 63. Let q be z(-14). Let c(d) = q - 70*d - 66*d + 2*d**2 + d**2 - 63*d + 212*d. What is c(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j - 14. Let i = -70 + 117. Calculate the remainder when i is divided by a(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 165 = 3*u - 686, 4 = 2*u. Is 5 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 204, 410, 616, 822, 1028?\n\"Answer: 206*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -480*c + 2576. Does 16 divide u(-114)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4*k + 5*h + 39 = 0, -3*h + 87 = -4*k. Let z be (-3 + k\/(-9))*-27. Find the third derivative of -z*u**2 - 210*u + 210*u - 2*u**5 wrt u.\nAnswer: -120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2112020 + -211202?\nAnswer: 1200111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 24 = 2*l, -1265*g + 5*l + 87 = -1264*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 3*h + 3. What is w(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, t: 5, q: 2}. What is prob of sequence ftfq?\nAnswer: 5\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/39 not equal to 0.027208?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22133.\nAnswer: 22133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2780 and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 57557.51l in millilitres?\nAnswer: 57557510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - r = 1703, r + 575 = 2*i - 559. Let b = i - 3985\/7. What is the closest to -2 in 0.1, b, 85?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 122.\nAnswer: -5\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 96\/(-56)*154\/(-44). Solve -v = m - 4*o - 3, o = m + 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.961 * 1.2\nAnswer: 3.5532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n - 2*y - 12, -23*y + 33 = -n - 14*y - 19*y for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2485 times 3?\nAnswer: 0.7455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5 + (3 + sqrt(448) - (sqrt(28) + (sqrt(28) - (2 + sqrt(28)))*-1))).\nAnswer: -30*sqrt(7) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8\/(-96))\/((-1)\/9))\/3.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 408 divided by -136\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -24*k**2 - 7640*k + 4995. What is v(-319)?\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 + 37.6. Round a to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2215*c**2 - 132 + 2*c + 2*c**4 + 1108*c**2 + 1107*c**2 as j*c**4 + r*c**2 + a*c**3 + y + h*c and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t - 2*t**4 + t**4 + 525*t**2 - 523*t**2 - 5 - t**4 to b*t**3 + f*t**2 + a*t**4 + o*t + s and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 317677 times 0.2?\nAnswer: 63535.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63\/(-1260) - 1925405\/(-100).\nAnswer: 2, 3, 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-3)\/3 + -2 + 14 and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/81, -1152, -646, -5?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2582 - 2581. What is the closest to 1 in 0.1, 0, h, -3\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7500 - 4083. List the prime factors of k.\nAnswer: 3, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4048893\/11 + -362660. Let v = 5385 - y. Let f = 36 + v. Put f, -4, -1 in decreasing order.\nAnswer: f, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-1 - 2) + 39\/13. Suppose y = 6*k - 168 + 30. Differentiate 5 + 7*a**3 - k*a**3 + 14 - 3 wrt a.\nAnswer: -48*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 12\/170933?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001955432612 to 6 decimal places.\nAnswer: -0.001955","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/53 (b) 30 (c) -3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 125 - 124.8. Which is the biggest value? (a) 0.04 (b) -4 (c) x (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 times -13032\nAnswer: -912.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-12) + 47*1\/2. Calculate the highest common divisor of x and 540.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68389.622 rounded to the nearest one hundred?\nAnswer: 68400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00084083947 rounded to 5 decimal places?\nAnswer: -0.00084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 147 - 131 = 4*k, -5*w - 35 = -3*k for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x**22\/x)))\/x*x**(-14) assuming x is positive.\nAnswer: x**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -4*l**2 + l - 1. Let g(i) = i**2. Let t(v) = -v**3 + 11*v**2 + 2*v - 27. Let n be t(11). Let m(o) = n*g(o) - s(o). Calculate m(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/105 and (-4)\/26 + 5833\/8892*-4.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 + 2*a**3 - a**2 + (-3*a + 2*a - 7*a)*(4*a**2 - 2*a**2 - 3*a**2) - a**2 - a**3 + a**2)*(0 + 0 - a).\nAnswer: -9*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.72 - 0.82. Let p(g) = -2*g - 9. Let n be p(-6). Suppose -n*f + 5*z = -20, 5*z = 2*f - 8 - 7. What is the nearest to 0 in 0.5, f, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -221001 + 10?\nAnswer: -220331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**0)\/u**(-8))\/(u\/(u**(2\/5)*u)*u*u**11))**(-11) assuming u is positive.\nAnswer: u**(143\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 25*u**3 + 3*u**2 - 3*u + 3. Let i(f) = 25*f**3 + 4*f**2 - 4*f + 4. Give 3*i(y) - 4*l(y).\nAnswer: -25*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**4 - o**3 + o**3 + (0*o**2 - 4*o**2 + 3*o**2)*(-2*o**2 - o + o) + 0*o**3 + 0*o**3 - o**4 + 0*o**4 + 5*o**4 + 4*o**4.\nAnswer: 8*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j - 3. Let x(i) = -2*i. Give l(x(z)).\nAnswer: 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of p**3\/3 - 5*p**2\/2 + 2*p - 1. Suppose 0 = 5*q - 3*t + 39 - 8, -12 = 4*t. Let s be q\/6*(6 + -9). Calculate x(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -h - 13, -h - 1 = 3. Solve x - 28 = 4*t - 3, s*x + 5*t = -10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**5 - 68*u**4 + 426*u**3 + 2584*u**2 + 2888*u.\nAnswer: 2*u*(u - 19)**2*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a + 3. Let g be z(5). Let t(i) = -i**3 - i + 3. Let h(v) = -v**3 - v + 2. Give g*t(s) + 3*h(s).\nAnswer: -s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+-1745364\nAnswer: -1745363.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, b: 6, e: 4, d: 1, h: 5}. Give prob of sequence hcbb.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 102*x - 198*x - 288. Which is the nearest to 0? (a) 2\/11 (b) x (c) 7.5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 528079 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -12*x**3 - 2*x**2 - 37*x + 60. Calculate the lowest common multiple of u(0) and 1608.\nAnswer: 8040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/44)\/(40\/(-220))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -3. Let o = 1359 + -1358. Sort 0, o, 0.07, q.\nAnswer: q, 0, 0.07, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2586 is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -1, -10, -35, -82, -157, -266, -415?\nAnswer: -610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 1. Let f(a) = 105*a**2 + 105. Let v(c) = -8*c**2 - 8. Let d(t) = -2*f(t) - 27*v(t). Give -4*d(b) + 22*m(b).\nAnswer: -2*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + 0*j**2 - 2*j**2 + (-3*j + 3*j - j)*(-4 + 4 + 4*j))*(-6*j**3 + 63*j**3 + 39*j**3).\nAnswer: -672*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4968 divided by -184?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/11)\/x*x\/x**1)\/(x*x**(-1)*x*x**(-2\/3)) assuming x is positive.\nAnswer: x**(-35\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 divide 2151318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13223677*a**3 + 67383*a + 59.\nAnswer: -79342062*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 14. Let d(q) = q**3 - 4*q**2 - q. Give d(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 3*m - m - 48, 4*m = 0. Suppose 3*k + 6 = 2*h, -2*k = 4*h + 4 - 32. Calculate the greatest common factor of z and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of 0 + 1\/6*w**3 - 2*w + 3*w**2. Determine q(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4\/7, 31, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 225 and 9?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - -6*sqrt(25)\/sqrt(5)) + -3)**2.\nAnswer: -42*sqrt(5) + 254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1253*m**2 - 53*m**3 - 1253*m**2 + (m**2 - m + m)*(4*m - 3*m + m) + 3*m**3 - m**3 + 0*m**3.\nAnswer: -49*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-64)\/12)\/(((-18)\/8)\/3*(-8144)\/(-59553))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 11*s**2 + 16*s - 291. Is u(13) a multiple of 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 + 0. What is the third smallest value in 0, b, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2261 * -3\nAnswer: -0.6783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-2*1\/(-99)). Suppose 4*d = -0*d + 236. Let p = n - d. Calculate the remainder when p is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4389013?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -5*m - 7*u + 9, 4*m + 3*u - 7 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1855221?\nAnswer: 3, 618407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10975470 is divided by 39480?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1079)\/104 - (-70)\/7?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 996475 to the power of 1\/2, to the nearest integer?\nAnswer: 998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7837, 7832, 7825, 7816, 7805, 7792, 7777?\n\"Answer: -j**2 - 2*j + 7840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298330213.\nAnswer: 298330213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -108508+-0.143\nAnswer: -108508.143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2117*l**3 - 286*l**3 - 274*l**3 - 1403*l**3.\nAnswer: 154*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 13 - -11) + -11 + 1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 493 and 10?\nAnswer: 4930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -234990 to the nearest 1000.\nAnswer: -235000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 4443498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24447*v**3 - 24452*v**3 - 1344*v + 1344*v.\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b**2 - 9*b + 8. Let z be f(2). Let r(m) = 3*m + 7*m**z + 19 - 11*m**2 + 6*m**2. What is the hundreds digit of r(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 250*x + 31132. Give i(-107).\nAnswer: 4382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*u + 9*u - 36*u - 108 + 11*u.\nAnswer: -u - 108","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -844 at least as big as -842?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 4*c + 890 + 210, 0 = u + 3*c - 1097. Let r = 1245 + u. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 5:33 PM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of f**3\/3 + 52*f + 3. Let v be y(0). Suppose v = 2*d + 4*k, 2*d - k = 4*d - 43. What is the least common multiple of d and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-60)\/((-110)\/(-11)) - -16. Solve 0 = -u*l + 21*l - 55 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 17. Solve -3*j + 2*j - 23 = -5*r, 4*j + t*r = 18 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-2) + 0 + 14835\/(-8970)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -4*k - 20, -4*k - 45 = n - 13. Let o be (-13 - -4)*k\/3. Calculate the highest common factor of o and 133.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 162315868, 162315867, 162315866?\n\"Answer: -w + 162315869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - b - 5583, 0 = -l + 4*l + 2*b - 3342. Suppose 0 = -3*g + 2*v + 1101, 5*g + 3*v - l = 2*g. What are the prime factors of g?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -49*i**2 + i. Let q(x) = -9*x - 6. Determine q(u(p)).\nAnswer: 441*p**2 - 9*p - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 + 74. Suppose -x = -4*a - 8. Suppose 5*t = -2*u + a*u + 285, t - 37 = -4*u. List the prime factors of t.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151 (base 9) in base 6?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t + 7. Let w be j(11). Let p = w + 2. Put -4, p, -3 in descending order.\nAnswer: p, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - f = 106, 11*f - 20 = 16*f. What is the smallest common multiple of 187 and z?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 93668*u**2. Let z(b) = -6*b**2. Give z(i(l)).\nAnswer: -52642165344*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 57278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/101452 and -33\/202904?\nAnswer: 202904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26.2565 + -43.25674. Let w = -17 - d. Round w to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l - 774. Let u(s) = 30319*s. Calculate i(u(m)).\nAnswer: -60638*m - 774","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a**2 + 5*a - 5. Let b = -13 + 8. Let j(h) = -h**2 + 0 - 989*h + 9 - 11 + 990*h + 1. Give b*j(l) + z(l).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 68.6 or 283.95?\nAnswer: 68.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4136 - -4?\nAnswer: 4143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 4:03 PM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 244 = 4*t, -t = b - 2*t - 57. Suppose 4*u = 3*x - 124, -2*u - u = 5*x - 197. Suppose -b = 39*d - x*d. Is 9 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 4*b + 24, 29 = -4*i + b - 0. What is the least common multiple of 13 and (-36)\/(-8)*(-5 - i)?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**6*r\/(r*r\/r**1))\/(r**6*r**6\/r))\/(r\/(r\/(r**(-1\/8)*r))*r**(-1\/3)*((r*r**(-7))\/r*r)\/(r*r**(2\/11))) assuming r is positive.\nAnswer: r**(433\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5813340 and 232?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1688 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.01 (b) -15 (c) -3 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 497 or 503?\nAnswer: 497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 163?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*z - 9*z + 6*z)*(2*z**2 - 3*z**2 - z**2).\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 14) in base 2?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**29\/(z*z\/(z\/(z\/z**2))))\/(z\/((z\/(z\/z**12))\/z))**6)**9 assuming z is positive.\nAnswer: z**801","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-15)*33)\/(49152\/(-10240))?\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of 0*q**2 + 0*q**3 + 1 - 24*q - 101\/12*q**4. Let s(h) = h**2. Give s(z(a)).\nAnswer: 10201*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 150 and 249.\nAnswer: 12450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 g, and 1 m when three letters picked without replacement from {g: 1, z: 7, l: 2, m: 1, u: 4}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 9:34 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5}. What is prob of picking 4 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + (-2 + sqrt(1331) + -4 - sqrt(1331)) + sqrt(1331))**2 + sqrt(1331) + 3 + 1*sqrt(1331) + sqrt(1331).\nAnswer: -231*sqrt(11) + 5363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2 - 2*i)*(3 - 2 - 7 - 2 - 2 + 7 + (-2 + 3 + 1)*(-4 + 3 + 3)).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 355 = -y - 3*j - 35, -2*j - 1911 = 5*y. Let m = y + -7. Is m\/(-8) + 1\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 7:48 PM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r + 6. Let h(l) = -l - 1. What is h(d) - x(d)?\nAnswer: -2*d - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8043 + 13540. Calculate the highest common factor of 46 and b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.04, -3, 58, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 - -23. Let r be 3 - 1 - s - -5. Suppose -19 = c + 5*l, 2*c = l - 2 - 3. Sort 4, r, c.\nAnswer: c, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/121*2585\/(-1128)?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-8))\/(1\/16 - 0). Let w be ((-32)\/v - 3)*0. Suppose w = -3*o - o + 52. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -954, -3617, -7988, -14067?\nAnswer: -21854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/((k\/(k*k**4\/k*k))\/k)*k*k\/(k*k**(-1\/7)))\/((k**1\/k)\/(k\/(k\/k**(-4)))))\/((k*k\/k**(-7\/5))\/k**(-1)*(k**(-5\/4)\/k)\/k**(-2\/5)) assuming k is positive.\nAnswer: k**(223\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -62822 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v + 3*m + 33, 21*v - 16*v - 37 = 2*m for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000169 rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -147*q**3 + 3*q**2 + 4*q + 2. List the prime factors of z(-1).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1be28 (base 15) in base 7?\nAnswer: 526061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 - 46. Suppose 9898 = -274*w + 72*w. What is the second biggest value in k, 1\/5, w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1661 - -3217. Let v be ((-126)\/(-26) - 5) + i\/11128. Is 1 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 25 + 5 = 3*j, b + 2*j - 2 = 0. Let s = b + 1. Let z = 11 + s. Is z a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**2*g*g)**(9\/7)*((g*g**(-1\/12)*g*g)\/g)\/g**(-6))\/((g\/(g*g**(-1\/2))*g)**(-3)\/(g**3*g**8\/g)) assuming g is positive.\nAnswer: g**(2531\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**3*k**2 - 142*b**3*t - 6*b**2*k - 5*b*k**2*t - 8*k**2*t wrt k?\nAnswer: 6*b**3 - 10*b*t - 16*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**5\/2 - 3957*i**4\/8 - 4473*i**3\/4 - 5973*i**2\/8 - 249*i\/2 = 0 for i.\nAnswer: -1, -1\/4, 0, 332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 794 - 787. What is the lowest common multiple of v and 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -918 + 8258\/9. Let x = 0.18 - -0.22. Which is the biggest value? (a) -2 (b) p (c) x (d) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 110157137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15.2 + -15.19907. Round v to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -5*x**2 - 32*x - 6. Let p be c(-6). List the prime factors of p\/(-9) + 19880\/21.\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}