diff --git "a/data/dm_maths/full_data/10683_11255.jsonl" "b/data/dm_maths/full_data/10683_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10683_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: List the prime factors of 1345854.\nAnswer: 2, 3, 224309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2214264220.\nAnswer: 2, 5, 7, 71, 331, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2*f**2 + 4 - 5*f - 5 to the form x*f**2 + s*f + w and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**36)\/s*s**(-2\/53) assuming s is positive.\nAnswer: s**(-1857\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17226803863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3865*m - 4221. Calculate b(1).\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 10:01 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 2\/5 (c) -3\/5 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -820*k - 1680 = -841*k. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**2 - i**3 - 3*i**2)*(7226*i**2 - 7360*i**2 + 1 - 18*i - 2).\nAnswer: 134*i**5 + 18*i**4 + i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -110, -36, -2, 5, -74 in increasing order.\nAnswer: -110, -74, -36, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - r**2 + r. Let v(s) = -21*s**3 + 6*s**2 - 6*s. Let t be (12\/(-18))\/((-20)\/30). What is t*v(h) + 6*m(h)?\nAnswer: -15*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -27 - (3 + -22).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from ggkggkggggg.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 379686?\nAnswer: 2, 3, 63281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/568 and 37\/33674022.\nAnswer: 134696088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 2\/155 (c) 0.4 (d) 2\/19 (e) 2\/15 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - h**2 + 3*h + 1. Let c be y(-2). Let x = -8 + 4. Let q be 1 + 0 + -6 + 0. What is the smallest value in x, c, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26590127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 - c + 1. Let s(a) = a**2 - 8*a - 6. Let w be s(9). Calculate d(w).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-34)\/56 - 1\/4. What is the second smallest value in 7, n, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {x: 1, q: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10132 or -10134?\nAnswer: -10134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1900 and 732260.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a - 1. Suppose n + 0 = 3*i + 31, i + 2*n = -22. Determine z(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 - -1823?\nAnswer: 182a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5494, -21851, -49112, -87277?\nAnswer: -136346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -1\/10*g**2 + 1\/5*g - 1\/15*g**3 + 1\/20*g**4 + 1. Find q such that o(q) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 24 = -0*t. What is the tens digit of 2\/t + 375\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 13. Let x(h) = -5*h - 3. Let o(p) = p + 1. Let v(y) = 2*o(y) + x(y). Give v(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*(-60)\/12 - (1 + 5). Solve a = w*a + 32 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 1482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 - -54. Is i a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**2*j**2 - 31973*i**2*j + 2*i**2 - 8*i*j**2 - 3553*j**2 - 1 wrt i?\nAnswer: -2*j**2 - 63946*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*c - 15 + 78 = 0, -5*c = -3*z + 177. What is the greatest common divisor of z and 513?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -90*c - 581. Calculate k(-6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of 1\/5*k**3 + 1\/40*k**4 + 0 + 0*k + 1\/40*k**6 - 2\/25*k**5 - 7*k**2. Factor a(l).\nAnswer: 3*(l - 1)**2*(5*l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 - 5?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -129 - -135. Let a = 334\/1683 - 8\/99. Is l greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/((-76)\/40 + 2). Let p be (-96)\/r*1\/3. Which is the nearest to -0.1? (a) p (b) 0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4685 is divided by 1150.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3025?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154900*f**3 + 114137*f**3 - 85259*f**3 + 70102*f**3.\nAnswer: 253880*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8529 = 30*b + 2979. What is the highest common factor of b and 148?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -59 + 60 + -1 + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -29\/15 bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**3 + 31865*b**2 - 380995*b - 4230065.\nAnswer: -5*(b - 6361)*(b - 19)*(b + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -274, -535, -796, -1057, -1318, -1579?\n\"Answer: -261*q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3 = -4*g, -2*m = -3*g + 27. Let c = m + 6. Let t be 8\/(-16)*(c + 2). Solve 3*i + 4*f = t*i - 24, 4*i = 4*f + 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x - 2. Let r be g(7). Suppose -q**3 - 9*q - r*q - 2*q + 8*q**2 = 0. Calculate q.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -61 >= -66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 5 = 3*a, 661 = 5*b - a. Suppose -62*k = -39*k - 3749. Let f = k - b. Are f and 30 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 8:03 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 21608, 21178, 20748, 20318?\n\"Answer: -430*t + 22038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*p - 3*p - p + (0 - 1 - 1)*(4 + p - 4) + 2*p - p + 2*p + (33 - 67 + 23)*(p - 2*p + 5*p).\nAnswer: -42*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v - 4. Let t be o(-6). Let d = 1567\/14 - 689\/7. What is c in -d*c + 3 + 6*c**t = 0?\nAnswer: 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1228 is divided by 554?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2065\/884 - 135\/34. Let t = h - -18\/13. Are -1 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/(-76) - ((-13)\/4 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -8 + q**2 + q + 0*q**2 + 2*q + 3. Let n be k(-7). Let w = 45 - n. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 66631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - 4. Let g(q) = 6*q + 5. Let j(y) = -13*y - 11. Let x(a) = z*g(a) - 3*j(a). Let k be x(-7). Solve 4*p + 8 = -5*n, 2*n = 3*n - 5*p + k for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(88)*-2 + sqrt(88))*6)\/(sqrt(8)*1*1 + sqrt(8) + -2*sqrt(648) + sqrt(8)).\nAnswer: -6*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -593*c + 585*c - 16. Put 4, c, -215 in increasing order.\nAnswer: -215, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*a**2 + 1 + 0 + 45*a**2 + 0.\nAnswer: 32*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -200 - -209. Let s(o) = o**2 - 7*o - 11. Determine s(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**4 + y**2 - y**2 + 18*y**2 - 3*y**4 - 18*y**2 + (2*y**3 + 3*y - 3*y)*(-2*y - 3*y + 6*y) - 2*y**4 - 2*y**4 + 5*y**4.\nAnswer: 2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*g**4 - 1391*g**3 + 178*g**2 + 2*g - 880483.\nAnswer: -264*g**2 - 8346*g + 356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24686951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1251*y - 2*s - 5 = 1246*y + 6, 2*y + s - 17 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*z + 4074462 = 365790. What are the prime factors of z?\nAnswer: 2, 3, 11, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 60\/(-80) - 10\/8. Let n be 106561857\/(-12) - (22\/(-8) - s). Let i = n - -3660154. What is i rounded to the nearest 100000?\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -985999986 + 52*u + 226*u + 985999987.\nAnswer: 278*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 828 and 66348.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -o - 6. Let j = -21 - o. Let k = -13 - j. What is the remainder when 10 is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -203*g + 3466. Calculate u(17).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2516 = 216*d + 3380 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) + (sqrt(78) - -2*sqrt(78)))\/sqrt(6) - ((sqrt(13) + 0)*1 - sqrt(13)).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l - 1. Let y be p(-1). Let n(h) be the third derivative of -h**5\/60 - h**4\/4 - h**3\/2 + 2*h**2. Let u be n(y). Solve -u*c + 3*c = -4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 978 = 986 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*v + 38*v = 83*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13303 (base 4) in base 3?\nAnswer: 200111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -626632?\nAnswer: 626625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -41, -66, -111, -182, -285?\nAnswer: -426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -49302 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxox when four letters picked without replacement from xxxxooxoxoxoxoxxooo?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**7)\/w*w**14)\/((w*w\/(w*w**(-9)\/w))\/w*w\/(w*(w\/(w*(w**(-4)*w)\/w))\/w)) assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -14857, -18178, -21499, -24820, -28141?\n\"Answer: -3321*y - 11536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1382163146.\nAnswer: 2, 7, 13, 59, 128717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -13. Suppose -b*v + 4 = -0*v. Does v = 10\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10097\/2817 or 5?\nAnswer: 10097\/2817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -y**4\/4 + 7*y**3\/3 - 7*y**2\/2 + 3. What is the remainder when 43 is divided by c(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 3*f**2 - 9*f + 3. Let s be r(5). Suppose -2*l = -4*m - 780, -4*l = -6*m + s*m - 1600. List the prime factors of l.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32800 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f - 3. Suppose -4*w = 5*p + 28, -4*p + 10 = 3*w + 31. Let h be c(w). Solve 3*s = s - h for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.016241 rounded to 4 decimal places?\nAnswer: -0.0162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 2*k**2 + 3*k - 13. Let i be c(3). Sort i, -5, -1.\nAnswer: -5, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - 8*v + 4. Let w = 35 - 42. Let d be b(w). Suppose -2 = -2*s + 8. Solve p - s*o - 22 = 0, -3*p - 3*o = 13 + d for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-18) - ((-303)\/54 + 115\/138).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1822 - 1821.6. Which is the smallest value? (a) 132 (b) k (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jizzzxv. Give prob of picking 1 i and 1 z.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 40*m**3 + 10*m**2 + 10*m - 10. Let l(j) = j**3 - j**2 - j - 2. Let k(d) = 16*d**3 - 9. Let g(v) = -k(v) + 3*l(v). Determine 10*g(w) + 3*i(w).\nAnswer: -10*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -20 + 2 + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 554659584.000266 + -554660242. Let c = 658 + f. Round c to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 565105.\nAnswer: 5, 113021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2 + ((1 + sqrt(2))*-4 - sqrt(1250)) + 3))**2*5.\nAnswer: 31320*sqrt(2) + 304380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -a**3 + 93*a**2\/2 + 798*a - 7452. Factor w(i).\nAnswer: -3*(i - 38)*(i + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 p when four letters picked without replacement from plllpplllp?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -5.7, 1, 5, -0.2, 3, 2 in ascending order.\nAnswer: -7, -5.7, -0.2, 1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -304 - 280?\nAnswer: -584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262608 is divided by 8878?\nAnswer: 5146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 3*a**4 + 3139*a**3\/3 + 8608*a**2\/3 - 14524*a\/3 + 2768\/3 = 0.\nAnswer: -346, -4, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43 + 49. Suppose v*n - 18 = 450. What is the least common multiple of n and 24?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -1, -14 in decreasing order.\nAnswer: 2, -1, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - t - 2*t)*(7*t + 2*t**2 - 7*t).\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggglggggggggggggggg. Give prob of picking 2 g.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from acpxx. Give prob of picking 1 p and 1 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*d + 857 - 2342. Let u = -289 - d. What is u rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kpppppbpkppkvvbpvp. Give prob of sequence kp.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2329903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 22417, 22415, 22413?\n\"Answer: -2*k + 22419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 137 - -46. Let h = -176 + s. Sort -2\/11, -0.2, h, -3\/4 in increasing order.\nAnswer: -3\/4, -0.2, -2\/11, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21339445 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 350829645*l**3 - 402438102*l wrt l.\nAnswer: 2104977870*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 792 a factor of 315597744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of 2*a**7\/7 - 439*a**5\/5 + 7*a**3\/3 - 5*a + 507. Find the third derivative of d(z) wrt z.\nAnswer: 240*z**3 - 10536*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -42 and 3.0556?\nAnswer: -128.3352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1401270488 to the power of 1\/3, to the nearest integer?\nAnswer: 1119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**4\/17 - 1090*k**3\/17 + 2174*k**2\/17 - 1086*k\/17 = 0.\nAnswer: 0, 1, 543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(-66)*-6*-8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 8*f. Let i be w(6). What is the units digit of (-4)\/((-32)\/(-18))*i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 645668871?\nAnswer: 3, 215222957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16 + 11172?\nAnswer: 11154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/3)*i**(3\/7)*i)**38*(i**(4\/9)*i*i\/i**(1\/4))\/(i**(2\/35)*i**1*i) assuming i is positive.\nAnswer: i**(100493\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -275, -272, -269, -266, -263?\nAnswer: -260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 20 - 16 = 0. Let i = 18 + 3. Suppose -4*o - 3 - i = -2*v, 5*o = v - f. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2530*o + 20232. What is i(-8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 156509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1352, -1173, -700, 211, 1704, 3923, 7012?\nAnswer: 11115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 12, -4*c = 8*j - 7*j - 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -86 divided by 1\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 250606, 501213, 751820, 1002427, 1253034?\n\"Answer: 250607*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4141*j**2 + 369*j + 369. Let v(q) = -45*q**2 + 4*q + 4. Let m(a) = 4*p(a) - 369*v(a). Let s(t) = t**2. What is s(m(u))?\nAnswer: 1681*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/2, 4, -0.4.\nAnswer: -1, -1\/2, -0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 12*k**3 + 3*k - 4. Let p be -2 + (-3)\/2*-2. What is the remainder when 41 is divided by u(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**3 + m**2 - m**2)*(-55 + 50 + 30).\nAnswer: -50*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 15*x - 27. Let h be j(-12). Suppose -243 = -h*v - 54. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*q = 50*q - 12. Let w(k) = 19*k**2. Let b(l) = -1196*l**2. Calculate q*b(a) + 253*w(a).\nAnswer: 23*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 100 - (5 - 2))*1. Let s = d - -107. Let b(n) be the third derivative of n**4\/24 - n**3\/2 + 17*n**2. Determine b(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -238654 (base 9) to base 15\nAnswer: -2ca9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6095820\/83 <= 73443?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**3 + 8*b**2 - b - 4*b**2 + 0*b + 11*b**2 to v*b**2 + h*b + y*b**3 + j and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, k: 1, o: 2, f: 2, z: 1, a: 1}. What is prob of picking 1 f and 1 a?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -117, -1507, -5443, -13197, -26041?\n\"Answer: -212*d**3 - d**2 + 97*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h - 1. Let g(o) = -46*o - 3*o**3 + 2*o**3 + 3*o**2 + 48*o - 2. Determine -2*a(z) + g(z).\nAnswer: -z**3 + 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -159331 or -159338?\nAnswer: -159331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d - 21*d = 33 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*15\/150 - 111\/(-60). Let s(l) be the second derivative of -3\/10*l**6 + 0*l**2 - u*l**4 + 8*l + 6\/5*l**5 + 0 + l**3. Suppose s(c) = 0. Calculate c.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -11*t**6\/30 - t**5\/30 - 5*t**4\/24 + 9*t**3\/2 - t**2 - 49*t. What is the second derivative of r(w) wrt w?\nAnswer: -264*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in -6, 0.9, -10\/9, 40, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/sqrt(4))\/sqrt(5) + 0 - (((sqrt(48)*-2 - sqrt(3))**2 - sqrt(3)) + (sqrt(75) + -1)**2))*5.\nAnswer: -1595 + 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t - 1. Let o(v) = 4*v - 11. Let u(f) = -o(f) + 5*p(f). Let h be u(-4). Let n = h + 2. Does 2 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39\/26)\/(3\/(-6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1749572 litres in millilitres?\nAnswer: 174.9572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 11:57 AM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 86*l - 306. Determine d(-87).\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f = -9*f - 491. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.68 to zero decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -93532 (base 11) to base 12.\nAnswer: -66b2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 4*y - 25. Determine w(15).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22319.71 years to millennia.\nAnswer: 22.31971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1159 and 170404293?\nAnswer: 1159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**24\/(c\/(c**27*c)) assuming c is positive.\nAnswer: c**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-2*(1 + sqrt(931)) + (sqrt(931) - (sqrt(931) + -2)) + 0 + sqrt(931) + sqrt(931))*-2)**2 + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(11)*1 - sqrt(11)) + sqrt(11) - (2 + sqrt(55)\/sqrt(5) + sqrt(11)))**2*-3.\nAnswer: -45 - 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 332 a factor of 577142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express j - 4 + 4 + j - j + j + (-2*j - j + 5*j)*(0 + 2 - 4) - 2506 + 259*j + 2506 as n + z*j and give z.\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - 3*(-1 + -1)\/6. Suppose -3*j - y + 15 = -q*y, -4*j + 17 = -3*y. What is the first derivative of 9*d**2 + 15*d**j + 5 - 7*d**2 - 7 wrt d?\nAnswer: 34*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 75 + 305 = 0. Is w\/(-1) + 1 - (-1)\/(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 6:21 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**3 + 2*k**3 + k**3)*(0 - 2 - 1) + (2*k + 2*k - 2*k)*(k + 2*k**2 - k) - k**3 + 0*k**3 + 3*k**3.\nAnswer: 9*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**4)**(-2\/29) assuming l is positive.\nAnswer: l**(-10\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6\/57 + 1581\/323\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b1a21 (base 12) to base 14.\nAnswer: -60409","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 144*a + 13. Let n be (0 + (-1)\/2)*-3*2. Is m(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + 0. Let z = 91 - l. What are the prime factors of z?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**4\/(y*y\/y**10))\/((y\/(y\/(y\/(y*(y*y\/(y\/((y*y*y**1*y*y)\/y*y)*y)*y)\/y))))\/(y\/y**5)) assuming y is positive.\nAnswer: y**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*l)*(0*l**2 - 8*l**2 - l**2) + 5*l**3 + 6*l**3 - 4*l**3 - 4*l**3 + 6*l**3 - 4*l**3.\nAnswer: 23*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 8) to base 13\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105591, -211167, -316745, -422325, -527907, -633491?\nAnswer: -739077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 400?\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, x: 3}. Give prob of sequence rrx.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - (-1 - -1)\/(-1). Suppose 0*r = -f*x + 4*r + 137, -2*r = -2. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19*j + 8*j - 28*j)*(8 + 2 + 5) + 4*j - 10*j + 12*j to the form q*j + i and give q.\nAnswer: -579","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215 + 209 = -2*c. Sort -5, -25, c in ascending order.\nAnswer: -25, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*c*k*w**3 + 26*c*k*w + 2*c*l*w**2 + c*w**3 - 5*k*l*w**3 - 2*k*l*w**2 wrt l?\nAnswer: 2*c*w**2 - 5*k*w**3 - 2*k*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -24. Suppose -2*q = -0*q - v*t - 106, -4*t = 2*q - 106. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4248 to two decimal places.\nAnswer: 1.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*j - 34*j + 41*j)*(126 - 126 + 109*j**3).\nAnswer: 4905*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/124 and -65\/372.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 146.89 (c) -119\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*o - 54 = 34*o. What is the greatest common factor of o and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 21110 (base 3) to base 11\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 4*t + 20, -3*f + 7*f + 5*t - 38 = 0. Solve f*h = 9 + 12 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5582 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2842, 2819, 2796?\n\"Answer: -23*b + 2865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -7890*k + 189202. What is m(24)?\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 7 - 236*f - 127*f in the form p + r*f and give r.\nAnswer: -363","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**5\/6 + 2149*v**4 - 569759*v**3\/2 - 3592702*v**2\/3 + 3241178*v - 1760880 = 0 for v.\nAnswer: -6, 1, 138, 12760","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.126 - -0.326. Which is the closest to 0? (a) 15 (b) -0.5 (c) -5 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeaayypuaae. What is prob of sequence yey?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-2)*(-24)\/(-18). Suppose 1\/3 + 2\/3*b**p - b**4 + 2\/3*b**3 + 1\/3*b**5 - b = 0. What is b?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -6*g - 75. Let x be y(-12). Does 26 divide 11\/(-33) + 1 + (-154)\/x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 76338 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 83301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/12*6)\/((-1587)\/(-14812))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5 = -4*h - 0, -2*h = -4*f + 4. Let m = 47 - 93\/2. Which is the nearest to m? (a) h (b) -7 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r - 66, 2*s + 31*r = 123 + 553 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30927 or -127?\nAnswer: -30927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -17124, -23954, -35336, -51270, -71756?\n\"Answer: -2276*k**2 - 2*k - 14846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 14512016?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j + 32. Let k be m(-14). Suppose -4*y + 2*y = -4*q + 1890, -2382 = -5*q - k*y. Suppose 3*b + q = 6*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -13563045*x**4 + 108537300*x**3 - 95204855*x**2 + 230740*x - 140 = 0. What is x?\nAnswer: 2\/1647, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**5\/12 - 11*y**4\/12 - 17*y**3\/6 - 7*y**2\/6 + 35*y\/12 + 25\/12 = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 102359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3001020 - -11?\nAnswer: 3001031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3705 + 37121\/10. What is the common denominator of v and 29\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 32*m + 87. Let z(l) = -66*l - 173. Let r(t) = 5*j(t) + 2*z(t). Differentiate r(i) wrt i.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -361, 3\/2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 145346, 290701, 436064, 581435, 726814, 872201?\n\"Answer: 4*r**2 + 145343*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 693, 1545, 2965, 4953, 7509, 10633?\n\"Answer: 284*t**2 + 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -1186*l**3 + 16*l**2 + 126*l - 16. Let a be q(-6). Round a to the nearest 1000.\nAnswer: 256000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -213, -408, -725, -1164?\nAnswer: -1725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5 = -3*w, 0 = c + 3*w - 6. Suppose 4*l - 34 = c*l. Suppose -2*i + 16 + 11 = v, i = 4*v. Calculate the remainder when l is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h + 10. Let j be g(13). Let l be (12\/4)\/(j - (-6)\/4). What is the units digit of l - 3*(2 + 11)*-1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4\/470163 (b) -2\/43 (c) -2 (d) -2\/7 (e) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -145*c**2 - 12*c + 14. Let y(w) = -144*w**2 - 12*w + 18. Let k(l) = 4*q(l) - 3*y(l). Find the second derivative of k(m) wrt m.\nAnswer: -296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2*x = -3*x - 258, -141 = -3*k - 4*x. Suppose -3 = 3*h - k. Suppose -31*r - h = -35*r. Calculate the least common multiple of r and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27131990.\nAnswer: 2, 5, 107, 25357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*u - 226*u + 53*u + 3*u + 55*u + 59*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 27 - 26. Let g be (-20)\/(-12) + (-4)\/6. Let t be (-14)\/24 + g\/4. Which is the nearest to 2\/3? (a) -3 (b) t (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-9)*3\/(-10). Let s(y) = -y**3 + 4*y**2 - 5. Let z be s(3). Suppose 2 = z*u - 6*u. Which is smaller: l or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1658218359 to the power of 1\/2, to the nearest integer?\nAnswer: 40721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-14))**(2\/51)*((p*p**(-11)*p)\/p)**(27\/5))**(-14\/11) assuming p is positive.\nAnswer: p**(38948\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1717, -1732, -1747, -1756, -1753, -1732, -1687?\n\"Answer: w**3 - 6*w**2 - 4*w - 1708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h*n**4*p - 14*h*n**3*p - 6*h*n + 2*n**4*p - n**2 + 5*n*p + 1 wrt n.\nAnswer: -48*h*n*p - 84*h*p + 48*n*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.192950893 rounded to 0 dps?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -10441265 >= -10441265?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 896 is divided by 154?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 9 = 4*v. Calculate the highest common factor of v and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.029 + 72.029. Let v = -71.9868 + x. What is v rounded to three decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4957948 or -4957950?\nAnswer: -4957950","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7249765 to the power of 1\/4, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rlrrrlrlrrrrrrr. Give prob of sequence llrl.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(-1\/3)))**(9\/4))**(-2\/43)\/(((w\/(w**(-2\/5)\/w))\/w)**8\/((w\/(w*w**(-6))*w)\/((w**5\/w)\/w))) assuming w is positive.\nAnswer: w**(-3111\/430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1290*n**2 + 793 wrt n?\nAnswer: 2580*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - b - 26732, 2*b - 34310 = -5*y - 908. Let r = 9981 - y. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, y: 2, o: 6, g: 1}. What is prob of picking 1 c, 1 y, 1 g, and 1 o?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2 - 7*n - 11. Give s(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 6:12 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40423321 - 14?\nAnswer: -40423340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - l = 4, 14*l = -2*n + 15*l. Let p(q) = -3*q - 4. Let f(y) = 2*y + 2. Give n*p(d) + 5*f(d).\nAnswer: 4*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-188))\/((-16)\/14 + -41*299\/(-7462)).\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**4\/13 + 4*c**2\/13 - 2\/13.\nAnswer: -2*(c - 1)**2*(c + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 - -45.33. Let x = y + -0.03. Let j = -8\/15 - -2\/15. What is the third biggest value in j, x, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2909, -2642, -2375?\n\"Answer: 267*k - 3176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -0.5, -1 in decreasing order.\nAnswer: 5, 4, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3704*i**2. Let w(v) = -7*v**2. Determine w(z(c)).\nAnswer: -96037312*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(108)*1*2 + -2*(sqrt(108) - (1*sqrt(108)*-4 - sqrt(108)))**2.\nAnswer: -7776 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of h**5\/60 - h**4\/24 - h**2. Let y be g(1). Is 6 a factor of (-2)\/(1 + y) + 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -o**6\/120 + 3*o**5\/20 + o**3 + o**2. Is p(9) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/5 + 95224678*x\/5 + 2266934825050921\/5.\nAnswer: (x + 47612339)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1 - -8) + 8)\/((-3)\/(-222))?\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3151293.1 to the nearest one thousand.\nAnswer: 3151000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 82 - 7. Let c = d + -27. What is the common denominator of -4 + 525\/80 + c and 17\/12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -4 + -2 + -5 + 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 178791 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 11*t + 15. Let y be a(-10). Let h(g) = -y - g + 2 + 9. What is the remainder when 21 is divided by h(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w = -4*w + v - 5, -w + 27*v + 31 = 23*v for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*k - 16518 - 12783 - 33049 = 0. What is the greatest common divisor of 4 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2*x = 20, -3*x - 29 = -4*r + 11. Let n(f) = -f**2 + 6*f + 7. Let q be n(r). Suppose v + q = 11. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 12611\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21052 divided by 5263.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3301.8 + 3302. Put y, -0.1, 2, 3 in decreasing order.\nAnswer: 3, 2, y, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53\/4 of a litre?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of z**3 - 5. Let u(p) = -6*p. Give k(u(b)).\nAnswer: 108*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 13*d - d - 47 - 36*d**2 + 35*d**2 + 20. Let x be c(8). Suppose -g = x*r - 32, 3*g + r = 69 - 1. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -99.26+0.4\nAnswer: -98.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + (-2*sqrt(198))\/sqrt(11))\/(-3*sqrt(6)*-1).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11001 and 224652.\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1.2+-31.957\nAnswer: -33.157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 133 and 42017721?\nAnswer: 294124047","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -71 - (1 + 1 + 416\/((-640)\/40)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 229708*y - 36784*y - 2.\nAnswer: 192924*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -70 - -141\/2. Let w = -0.23 + -0.07. Which is the closest to 4? (a) w (b) 2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 128250\/3078 + (-16)\/6?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/6)\/q**(-2\/5))\/(q*q*q*q**(2\/5))**(-3\/26))\/(q\/(q*(q\/q**0)\/q)*q\/(q*q**0\/q*q)*(q**(4\/3)\/q)\/(q*(((q\/q**4)\/q)\/q)\/q)) assuming q is positive.\nAnswer: q**(-306\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*c*k*l**3 + 253*c*k*l**2 - c*k + 64*c*l**2 + 550*c*l + 4*c + 5*k + l**2 wrt l?\nAnswer: 18*c*k*l + 506*c*k + 128*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*v = -4*t - 32, 5*v - 14 = -2*t. Let j = t - -6. Suppose 3*f - 2*a - 427 = 0, -2*f + 302 = -0*f + j*a. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 52.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.93255 - -0.03.\nAnswer: -0.90255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -746578 != 58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 - -24. Let w(v) be the second derivative of 0 + 0*v**3 - v - 1\/12*v**4 + u*v**2. Let q(x) = -x. Determine w(q(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -11059841?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**3\/12 + 109*m**2\/3 - 11881*m\/3 = 0.\nAnswer: 0, 218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*i + 3*o, 5*i + 0*o + 5 = -3*o. Suppose t + i*j = 0, -t + 0*t + 18 = -4*j. What are the prime factors of (21\/t - 4)*-46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 41, 93, 165, 257, 369, 501?\nAnswer: 653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 20 = -0*q. Let k = q + -2. Suppose k*x + 6 = 5*g, -9*x = 5*g - 4*x - 20. Let i(y) = -3*y - 1. Determine i(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-9) - (-51)\/(-9). What is the nearest to -0.7 in y, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-11)\/(-44))\/((-1 + -2)\/(-36)). Let p(o) = -38 + 0*o**2 + o**2 + 18 - m*o + 4. What is p(7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.01 + 0.1. Let u = q - 0. Let l = u + -0.10986. Round l to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 9:31 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ywys when four letters picked without replacement from sdydsysysssbwsbbbsy?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 - -26. Suppose -m*g + 9*g = 1872. Let f = 1511 - g. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291*x - 261*x = 20976 for x.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a + 247253 + 164752 = 0. Find the second derivative of -133*c**3 - a*c + 27335*c - 45*c**3 wrt c.\nAnswer: -1068*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2566101 + 5?\nAnswer: 2566106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -111\/70 - -67611\/42770. Do b and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/21 (b) -12 (c) -0.4 (d) 2\/13 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 8*d - 3. Let x be m(-7). Suppose 6*q = x*q + 20. Suppose q = -2*s + 38. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27701 - 11403 - 16298 + 119*b.\nAnswer: 119*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + 33*k - 230. What is q(24)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (141 - 7*v - 141)*(-v**2 + 4*v**2 - 2*v**2)*(-3*v - 2*v + 3*v).\nAnswer: 14*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 1, 560 in ascending order.\nAnswer: -21, 1, 560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 856068699?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*v**2 - 2*v + v**3 - 12*v**3 + 88*v**2 + 5*v**3 + 3*v**3 to d*v + u*v**2 + p + a*v**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6)*(x*x**(1\/5))\/x)\/(x**(-1\/3)*x)**(-17) assuming x is positive.\nAnswer: x**(83\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -732 = -3*r + 2*p, -2*p - 1224 = -10*r + 5*r. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (6\/(-4))\/(6\/(-62)) and 7\/104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gyppsbbbpbpb. Give prob of picking 1 g and 1 s.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 9 + 16 + 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1835999 is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeaeeeeeeeeeeeeeeee. Give prob of picking 3 e.\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 3*m**2 + 26*m + 119. Give d(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 328 and 164.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 6*s. Let t(o) = -o**2 - o**2 - 2465 + 2465. Determine t(u(d)).\nAnswer: -72*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(468) + -1 - (sqrt(832) + sqrt(832)*2)))**2.\nAnswer: 36*sqrt(13) + 4213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**4 + 5868*q**3 + 4310042*q**2 + 8602488*q + 4298312 = 0. Calculate q.\nAnswer: -1466, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 7*c**2 + 11*c + 7. Suppose -2*r + 8 - 18 = 0. What are the prime factors of k(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2644 = 4*t, 130*t = 133*t + 12. What is the greatest common factor of l and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1982, -7887, -17720, -31487, -49194, -70847, -96452, -126015?\n\"Answer: -b**3 - 1958*b**2 - 24*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.24 (b) 1.3 (c) 3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 28 (b) 0 (c) 1\/6 (d) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k - 2*o + 28, -130 = -22352*o + 22339*o for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 36239747 or 36239745?\nAnswer: 36239747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 13\/4 of a millisecond?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -16573614?\nAnswer: -16573614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6239088, 6239112, 6239162, 6239250, 6239388, 6239588, 6239862?\n\"Answer: 2*a**3 + a**2 + 7*a + 6239078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**2 + 3*n + 5. Let v(z) = -3*z**2 + 5*z + 7. Let d(m) = 8*a(m) - 5*v(m). Calculate d(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 + 3 + -2 + 5 and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7125*v - 4141*v + 3815*v in the form u + m*v and give m.\nAnswer: 6799","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 68*f - 238*f - 8 - 5262 for f.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 5*g - 5, -3*g + 5*l = 97 - 132 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.2130051 nanometers?\nAnswer: 0.0000000002130051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-246.\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 0*j + 2*j - 4*j. Let y(x) = 6 - 7 - 3 + 3. Let d(w) = 5*w + 20. Let i(f) = d(f) + 20*y(f). Determine p(i(t)).\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 11*p + 25. Let x be b(-8). Let w be (-48)\/120 + x\/((-5)\/(-17)). Solve 0 = -o - 4*k - 16, o = 6*o - w*k - 35 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/5, -19, 70.\nAnswer: -19, 1\/5, 2, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -u**7\/14 + u**4\/3 - 21*u. What is the third derivative of y(x) wrt x?\nAnswer: -180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 28*y**2 + 9 - 6 as w + s*y**2 + i*y and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -106245078 + 8?\nAnswer: -106245070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.58967103 less than -4.174?\nAnswer: 4.41567103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/6 + (-26)\/30. Let k = -0.02 - -3.02. Let w = k - 5. Which is the third biggest value? (a) w (b) -1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1704 and 661415238.\nAnswer: 661413534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 4.7. Let p = 10 - 10. Which is the closest to -2\/3? (a) 4\/3 (b) m (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 t, 1 p, and 1 y when four letters picked without replacement from typpsvtpvspxxt?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05904 to three decimal places.\nAnswer: -0.059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -42. Let a be 28\/3 - (-8)\/x. Suppose -c = -11 - a. Solve -k = -6*k + c for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -54823\/50 or -1095?\nAnswer: -54823\/50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10530 + 57315 + 1967*f**3 - 1965*f**3.\nAnswer: 2*f**3 + 67845","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -30b25 (base 13) in base 10?\nAnswer: -87573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3149046448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3251*r = 3182*r + 1380 for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -2*x**4\/45 - x**3\/9 - x**2\/15 + 2*x. Factor n(p).\nAnswer: -2*(p + 1)*(4*p + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43468 is divided by 62.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -13*m + 11. Let a(n) = 11*n - 9. Let x(h) = -6*a(h) - 5*y(h). Let l = 3 + -2. Give x(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 233 + 10830*m + 16036*m - 233.\nAnswer: 26866*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c + 26?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i + 7. Let c(k) = 16*k + 41. Let w(r) = -c(r) + 3*q(r). Calculate w(4).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 9*b - 17. Determine f(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (432\/(-1458))\/((-4)\/(-3))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1169 - 1169.1. Which is the closest to z? (a) -1 (b) 1 (c) -2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.31 - -0.19. Suppose j - 2*u - u = 4, 2*j = -2*u - 8. What is the biggest value in t, -6, j, -0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4892238 is divided by 3746.\nAnswer: 3708","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26652 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -0.9. Let c = 8 - 6. Suppose 1522 = -765*b + 757. What is the closest to d in 3\/7, c, b?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -129\/370 and -28\/407.\nAnswer: 4070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90065773 is divided by 5003654.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 482303400?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 p when four letters picked without replacement from {p: 7, s: 7}.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.36 - -149.36. Let c = -135326.73192 + 135475.73192061. Let q = j - c. Round q to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -115360 - 4?\nAnswer: -115364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of g**7\/1260 + g**5\/60 - 5*g**4\/24 + 7*g**2. Let m(o) be the second derivative of x(o). Calculate m(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1451506943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 20106\nAnswer: 2\/10053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 676 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = -4*b - 10364, 0 = t - 8*b + 13*b - 1323. What is the least common multiple of 472 and t?\nAnswer: 5192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, v: 2, b: 2, k: 4, y: 3}. Give prob of sequence xb.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.5 - -19.5. Let c = -10.57 + 3.57. Which is greater: x or c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 301230212033 - 3?\nAnswer: 301230212030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of 3*z**5\/20 + z**4\/12 - z**2\/2 - 63*z. Give n(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.94 + -1. Let l = -0.04 + t. Suppose 0 + 8 = -4*o. Which is the nearest to 0.1? (a) o (b) l (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**4 + t**2 - 2*t**4 - 2*t**2 + (3 - 3 - 2*t)*(1 + t**3 - 1) + 11*t**4 - 30*t**2 + 30*t**2.\nAnswer: 7*t**4 - t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and 2.6?\nAnswer: 20.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, t: 1, v: 4}. Give prob of picking 2 y and 1 v.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1277355129+4\nAnswer: 1277355133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/13 (b) 0.3 (c) -3282 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 20?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 10*f + 64. Let q be n(-6). Solve 0 = -z + q*w + 9 + 5, -5*w = -2*z + 19 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2 + 2*h - 1. Let l(q) = 2*q**2 + 6*q - 3. Let g(z) = -6*j(z) + 2*l(z). Let r = 10 - 8. Let o(x) = -x**r + 4*x**2 - 4*x**2. Determine g(o(a)).\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 266 - 264. Let s be -1 + 0 - 4\/3. Let u = g + s. Is u at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -983\/547 and -3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1161089064 a multiple of 168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5078 is divided by 31.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**8\/56 + 3*m**7\/7 - m**4\/2 - 7*m**3\/6 + m + 59. Find the third derivative of a(q) wrt q.\nAnswer: 120*q**3 + 1080*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19085024 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -185504, -371012, -556520, -742028?\n\"Answer: -185508*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (11 - 15)) + 3 + 0 + -17\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 21 = i, 2*s + s + 2*i = -23 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*v**3 - 3*v**3 + 3*v**3 - 11*v**3 - 2*v**3.\nAnswer: -22*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + (4 - 0) + 1. Let t be (17\/j)\/(3\/90). What are the prime factors of ((-2)\/(-5))\/(3\/t)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 9, e: 4, a: 4}. What is prob of sequence eze?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -3, -7, 2, -1341, -1 in decreasing order.\nAnswer: 2, -1, -3, -7, -27, -1341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1376 and 258?\nAnswer: 4128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -483*y**4 + 2*y**2 + 292394*y - 399*y**4 - 284983*y wrt y?\nAnswer: -10584*y**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 11*z**2 + 6*z + 16. Suppose -4 - 31 = 5*w. Let l be f(w). Let h = l + -110. Does 20 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1698?\nAnswer: 2, 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (-774)\/42 - (1 - (1 + 7))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -270021 (base 8) in base 9?\nAnswer: -153224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51461*v**2 - 327*v + 131*v + 196*v.\nAnswer: 51461*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 5:14 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -3*q - 1\/75*q**6 + 29 + 2\/15*q**4 + 0*q**2 + 3\/50*q**5 + 0*q**3. Find b such that r(b) = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135018?\nAnswer: 2, 3, 13, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 4:37 PM?\nAnswer: 12:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does -336576 = -336574?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.072 + 99.072. Let p = c + -92.9. What is p rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/(-21))\/(12\/(9\/(-3))).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 2. Let o(k) = -2*k**2 - 3. Let r(b) = b**2 + 12*b + 39. Let d be r(-5). Calculate d*o(c) - 6*x(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*c = -51*c - 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5044)\/(-208)*(-4)\/(-3686).\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 9*d + 8. Let u be h(-4). Let k be ((-16)\/u)\/(18\/14). Which is the nearest to -0.1? (a) 0.1 (b) -3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -5517.9?\nAnswer: 11035.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*k + 6*k + 46 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -803*l + 806*l = -54 for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 6 + 1. Let c(m) = -12*m - 149. Let g be c(-14). Let q = g + j. Does 4 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.195616 + 397.\nAnswer: 401.195616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/9 + (-214)\/(-6). Suppose 0 = 2*r - 8, -u + 0*u = 4*r - q. Calculate the greatest common divisor of u and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12110 - 0?\nAnswer: -12110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -425 + 2.\nAnswer: -423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11862971899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 4 - 14. Let z be l\/(-21) + (-4)\/(-14). Let b = -560 + 6166\/11. Which is bigger: b or z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-1)\/(-54)*-6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 401258 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9389381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 2*v - 7. Let c be z(4). What is the greatest common factor of 2 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23558132 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 prob of picking 1 y and 2 i when three letters picked without replacement from {l: 2, i: 3, y: 3, d: 2, s: 1, m: 3}?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7322838 is divided by 2213.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -35\/11, -4, -53, -0.4 in descending order.\nAnswer: -0.4, -35\/11, -4, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 28 - -50) + -3.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3518 = 561*b - 2444 - 5258 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, v: 15}. Give prob of picking 2 z.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 577 divide 68223956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 78 + 18. Let u be 52\/(-2)*l\/(-6). Let h be ((-13)\/u)\/(2\/12). Which is greater: h or 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + (7 + -5 - -10))*1486848\/3200. Solve -528\/5*x + b + 3\/5*x**2 = 0.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16977768*j*n**2 - 101257*j*n + 32*j wrt n.\nAnswer: 33955536*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -349, -334, -319?\n\"Answer: 15*r - 364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + n = -j + 13, 11*n + 71 = -10*j + 219 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*t + t + 3*t + (-2*t + t + 3*t)*(-1 + 1 + 3) + (1 + 1 + 0)*(2*t + 0*t - 17*t) to the form l + g*t and give g.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/670 and -47\/2278?\nAnswer: 11390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*(d\/d**(5\/2))\/d*d))\/d*d\/d**(-10))\/((d*d**(-5\/4))\/d**(-9)) assuming d is positive.\nAnswer: d**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2435 = -5*m, -2*u - 5*m + 283 = 1222. Let b = u + 1262. Round b to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3122, -3123, -3124, -3125, -3126?\n\"Answer: -w - 3121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-725\nAnswer: -72.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2159 (base 12) to base 16\nAnswer: -e55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 14*r + 128 = 0. Let i = r - 29. Is i even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -65 + 2077209.\nAnswer: 2077144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 40728376487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0889 to 3 decimal places.\nAnswer: 0.089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 280\/(-21)*(-28)\/1815. Let w = h + 2\/121. Which is the second smallest value? (a) 2\/5 (b) 0 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of w**3\/6 - w**2\/2 + w. Let n be m(-4). Let i(b) = -3*b + 17 - b**2 - 32 + 21. Calculate i(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + -12 - 1 - -6) + 4 + -14.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m - 260 = 15*m. Suppose -p = -0*p - 13. What is the highest common divisor of m and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/4*279154)\/(((-324)\/(-27))\/4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50711 = 15*y + 2411. List the prime factors of y.\nAnswer: 2, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -2*a - 0*a + 14, 0 = 3*z + 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 56*x + 671. What is b(-10)?\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 - 4)*(-4*h**2 + 3*h**2 + 0*h**2) - 2*h**2 - 4*h**2 + 5*h**2 + h**2 + 0 + 0 to m*h**2 + v*h + q and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + g = -7, 7*m + g + 11 = 4*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -d + 5 + 2\/3*d**3 + d**2. Is i(11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*5\/(-4))\/((-5)\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8905371434.2810001411 - -8905371435. Let n = i + -0.719. What is n rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4 - -5.4. Let j = -10 + p. Let c = -4.99999999 - j. Round c to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + i**2 + 6*i - 9. Determine f(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -99832, -99875, -99978, -100171, -100484?\n\"Answer: -5*o**3 - 8*o - 99819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 503711?\nAnswer: 13, 38747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -393 = 31*c - 889. Solve 14 = 2*z + k, 5*z - c - 8 = 3*k for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2 + 6*l + 76. Determine s(-9).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -82 - -75.3. Let v = t - -4. Let y = v + 0.7. Which is greater: y or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13243*m**4 - 56*m**3 + 1755*m**2 + 2*m - 70 wrt m.\nAnswer: 317832*m - 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -f**7\/840 + f**6\/72 - 5*f**4\/24 - 13*f**3\/6 + 12*f. Let n(r) be the second derivative of w(r). Calculate n(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75)*-1 + 0.\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {s: 1, g: 5, i: 5}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -4, -0.4, -2, 3\/524?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of j**6\/180 - j**5\/120 + j**3\/2 + 3*j. Let t(k) be the second derivative of o(k). What is the second derivative of t(y) wrt y?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -80. What is the units digit of -6 + 8 + b + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, j: 2, v: 4, m: 1}. Give prob of sequence vmyv.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3481*q**5 - 3173*q wrt q?\nAnswer: 69620*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 - -38 - (5 - (1 + 8 + 1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 144 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k + 7. Let l be n(12). Put 0, l, -2 in decreasing order.\nAnswer: 0, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (q + q + q)*(2*q**3 + 7*q**3 + 0*q**3) + (13*q**3 + q**3 + 5*q**3)*(-q + 3*q - 3*q) in the form p*q**3 + a*q**4 + i + g*q**2 + n*q and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15.643 - -0.057. Let p = -16 + g. What is p rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 478 less than -7233386?\nAnswer: -7233864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005633 rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1959*l + 1959*l + 14*l**2.\nAnswer: 14*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**2 + 1. Let z be ((-2)\/(-4))\/((-3)\/(-6)). Let n be s(z). Suppose -n*u - 21 + 75 = -3*r, -3*r + 6 = u. Solve -2*h = 3*h + u for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -302 + 302 + 7*j. Let u(c) = -5*c. What is a(u(f))?\nAnswer: -35*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jli when three letters picked without replacement from flfij.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 331778?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 2*l**2 + 23*l + 8. Let f be g(-8). What is the greatest common divisor of f and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -111*r**3 + r**2 - 1. Let v be j(-1). Suppose 0 = -d - 4*k + 102, 0*d - 5*k - v = -d. Is d a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k - 74 + 83*k**2 + 76 + 96*k**2. Let n be a(-1). Suppose 8*g - n + 75 = 0. Solve g - 5 = 2*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10962 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 10, 2*c = -5*y + 34 + 9. Suppose 3*n - 7 = -s, 5*s - c = -2*n - 0*n. What is the remainder when 8 is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147 divided by -609042.\nAnswer: -7\/29002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17248223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.23 - 0.13. What is the smallest value in r, -4\/5, -0.3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 18. Suppose -f*w + 0*w = 14. Let p(u) = 3*u**2 + 7*u - 4. Let b(o) = -o**2 + 1. Let d(h) = 2*b(h) + p(h). Give d(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4*m**2. Suppose 80*s - 4724 = 76*s. Let x = 2134 - s. Let y(p) = 15*p - x + 953. Calculate y(l(q)).\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 3*d**2 - d + 1. Let f be p(3). Is 3\/((f\/(-36))\/1) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0752745 centuries in millennia?\nAnswer: 0.00752745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.742 + -2.7421142. What is n rounded to 5 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59182.\nAnswer: 2, 127, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1017303416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nrgkksyrykyryyyys. Give prob of sequence rkss.\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 29.880437?\nAnswer: -30.080437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a microgram in nanograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1463 divide 658717638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 b when four letters picked without replacement from bkkbbbbbb.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 114395 = 5*x, 70994 = 5*x - 4*q - 43396. List the prime factors of x.\nAnswer: 2, 11437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -84 - -42. Let s = -36 - m. Find the third derivative of s*z**2 - 6*z**4 - 125 + 125 wrt z.\nAnswer: -144*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25546819 and 699.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -8*a**6\/15 + a**5\/10 + 37*a**3\/2 - 46*a. Find the second derivative of y(h) wrt h.\nAnswer: -192*h**2 + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wm when two letters picked without replacement from immmiiximiwmii?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 10 + 1\/8*l**3 + 0*l - 3\/8*l**2 + 3\/32*l**4. Factor y(t).\nAnswer: 3*t*(t - 1)*(t + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 56.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -438, -800, -1058, -1212?\n\"Answer: 52*u**2 - 518*u + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**2 - 2*k + 10. Let y(t) = 3*t**2 - 3*t + 15. What is 8*o(f) - 5*y(f)?\nAnswer: f**2 - f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 233470*z - 233512*z + 14 + 18 + 1 in the form a + w*z and give a.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -5 + sqrt(242) + 2)*-1)**2.\nAnswer: -110*sqrt(2) + 267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 399\/5 - 159\/2. Are o and 6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -241.108 rounded to the nearest 10?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160*p - 7265 = -165*p. What are the prime factors of p?\nAnswer: 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -944, -119, -1, 5, -11 in descending order.\nAnswer: 5, -1, -11, -119, -944","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*c - y, 0 = 2*c - y - 0 + 2. Let m = -88 + 91. Suppose -m = -3*q - 0*q - 3*p, 3*p - 4 = -2*q. Sort 0, q, c in descending order.\nAnswer: c, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of 0 + 1\/10*d**5 - 2*d - 1\/2*d**2 + 0*d**3 + 0*d**4. What is the derivative of b(x) wrt x?\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -10*s - 14. Let v be p(-4). Let g = v - 24. Suppose -g*c + w - 16 = -107, 260 = 5*c + 4*w. Is c a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/589 in -0.3, 73, 3, 2\/91?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (21\/882*-14)\/(1\/(-76968))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 799*q**2 + 239*q + 2467. List the prime factors of p(-10).\nAnswer: 3, 53, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 202 and 167357?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2654, -0.5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 149 + -30. What is the remainder when d is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**2. Let z(r) = -405*r - 124. Let s(y) = 45360*y + 13950. Let d(j) = 2*s(j) + 225*z(j). Give q(d(a)).\nAnswer: 328050*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**2 - 2232*v + 4456 = 0.\nAnswer: 2, 1114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5400 = -5*t. What is t rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 8:20 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.02882 (b) 2.5 (c) -2\/9 (d) 0 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1790\/3 - 10639\/18. Find the common denominator of a and 0 + 4 + ((-5068)\/(-72))\/(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(16\/12 - 1)*-6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 469.\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -6, 0.55, -3, 4, 1483, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2151709 (base 11) in base 15?\nAnswer: 4e9d10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.397 - -6.39703633. What is l rounded to six dps?\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4438034931 to the power of 1\/2, to the nearest integer?\nAnswer: 66619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 + 42 = 10*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38 or -2901\/79?\nAnswer: -2901\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 3:36 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13954932 a multiple of 1766?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -7*p**4\/3 - 2222*p**3\/3 - 4360*p**2 + 224*p\/3 + 69760\/3 = 0.\nAnswer: -2180\/7, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 0*n + 3*n)*(0 - 4 + 2)*(-33*n + 239*n - 409*n - 644*n).\nAnswer: 1694*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 + 49 = 44*c. Solve -2*u = -c*s + 22, 0*u = 4*s + 5*u - 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-1))\/(6\/24). Let q be a - (-1 + (-7 - -2)). Solve q = -b + 2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-174))\/((-17)\/(-34)).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, p: 4, e: 4, t: 2, y: 2}. What is prob of sequence tje?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4305*w - 77236. Determine y(18).\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 - -28. Let r(b) = -b + 7. Calculate the remainder when r(-7) is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -4*j**3 - 4*j**2 - j + 4. Let d be r(-3). Suppose 130 = 2*h + 4*a, 15*a + 18 = 18*a. What is the derivative of -h + d - 18*s**4 - s**4 wrt s?\nAnswer: -76*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6048, 12094, 18142, 24192, 30244, 36298, 42354?\nAnswer: 48412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**2\/3 - 30*o + 87 = 0?\nAnswer: 3, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4 (b) 9\/4 (c) 4 (d) -1\/22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45905 = 12*u - 55152 - 106073. What is the hundreds digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4996.\nAnswer: 2, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bofbf. Give prob of sequence ob.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 + 1)*(10*c - 19*c + 3*c)*(-7*c - 825 + 825) as d*c**2 + z + f*c and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2238 divided by -6\nAnswer: -373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -0.1 (c) 15493 (d) 0.3 (e) 0.1 (f) 2\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -3. Let h be 3\/2 - (-9)\/v. Which is greater: 2 or h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjkltfvfljjjkj. What is prob of sequence fjkk?\nAnswer: 1\/1170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -140 divided by -304253\nAnswer: 140\/304253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 5*c - 3. Let x be f(-7). Let g = -11 - x. Solve -k = 2*k + g for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*(sqrt(475) + -5*(2*sqrt(475) + sqrt(475))))**2 + 2*(sqrt(475) + 2*sqrt(475) + -1 - 3*sqrt(475)*-2)**2.\nAnswer: -180*sqrt(19) + 13483352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (66\/(-4)*155\/((-19375)\/50))\/(3\/55).\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000011001 - -1100?\nAnswer: -10000001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 58, 116, 246, 478, 842, 1368, 2086, 3026?\n\"Answer: 5*l**3 + 6*l**2 + 5*l + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (2387\/42)\/11\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -40361 (base 11) to base 7\nAnswer: -333665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-109)\/(-126) - (-66)\/(-297))\/((-66)\/77)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 10*b - 617 + 2*b + b**2 + 311 + 322. Determine o(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6136 - 25?\nAnswer: 6111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7068 and 930.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 43543*k. Let p(b) = 7*b**2 - 23*b. Calculate p(y(c)).\nAnswer: 13271949943*c**2 - 1001489*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -266.797295 rounded to two decimal places?\nAnswer: -266.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, e: 4, p: 6}. Give prob of picking 2 p and 1 e.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -1)*((-108)\/(-96))\/(30\/160)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1025, 1\/3, -0.5, -0.11, 1\/4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**4\/15 - 1188*m**3\/5 + 35504*m**2\/15 - 37824*m\/5 + 113408\/15 = 0.\nAnswer: 2, 4, 1772","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c**2 + 140*c - 8889. Calculate m(38).\nAnswer: 763","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 5383 and 35 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17*j**3 + j**3 + 32*j**3 - 2*j + 46*j**3 + 105 + 77*j**3 wrt j?\nAnswer: 417*j**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 183877310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2275\/11 - -207. What is the nearest to -1\/4 in f, -0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001451821767 rounded to four dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**2 + 7*v + 6. Let i be n(6). Let l be i\/(-14) + 10\/35. Solve -l*f + 5 = 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 8:31 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -172*u. Let q(a) = 2*a**2 + 85641. Determine q(d(z)).\nAnswer: 59168*z**2 + 85641","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*(1 - (-9)\/(-6)). Suppose s = 4*k - 0*k. Suppose k = -4*f + 72 - 8. Calculate the greatest common factor of f and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/2, 31, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 80 = q. Let a be -1*(0 + 1) - 5. Let o = a + 6. Solve 4*r - 20 = -n, -n - q = -o*n - 4*r for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 - 3)*(0 + 3 - 5)*(8*w - w + w)*(0 - 5 + 4) to r + h*w and give h.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 9 = -3. Suppose -5*v - 5*q + q + 10 = 0, -2*v + 4 = f*q. Solve 5 = -v*b - 3 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64)\/sqrt(4)*4)\/((sqrt(16) - 5*-2*sqrt(16))\/sqrt(8)).\nAnswer: 8*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 732362041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*2\/(-36)*(-33)\/22.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*i = 0. Suppose -5*m + 199 - 24 = i. What is the remainder when 103 is divided by m?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62 + 61.7. Sort 5, i, 0.4 in decreasing order.\nAnswer: 5, 0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4996 - 4993. Solve 27*b = 24*b + a, -y + 5 = b for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 322 (base 8) to base 2.\nAnswer: 11010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 12513*p + 13. Let z be j(8). Let n = 179117 - z. Round n to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.33*-4410.\nAnswer: 1455.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(((-57)\/38)\/((-6)\/(-8))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 1:13 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -35*k - 11. Let r be h(2). Let o = -72 - r. What is the highest common factor of 21 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*(-135)\/480*(-1)\/(-6)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10873830 and 192545?\nAnswer: 1985","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 5*v**2 + 9*v + 9*v**3 - 5 - 2*v - 3*v**3. Let d(g) = 12*g**3 + 9*g**2 + 13*g - 9. Let s(n) = -6*d(n) + 11*k(n). Determine s(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -184\nAnswer: 5\/184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of -11737*k**5\/20 - 2767*k**2 + 9175*k. Differentiate b(u) with respect to u.\nAnswer: -35211*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 36.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -578*j = -608*j + 90. Let i be 3*(-2)\/(-3) - -1. Let h = 18 + 5. Solve 3*z = i*c + c - h, 0 = 5*z - j*c + 20 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -10\/13 and -0.109 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**2. Let d be -3 + 1*(-6)\/(-1). Suppose 0 = 3*m - 3 - d. Let j(v) = -2*v**2 - v**2 + 4*v**m - 3*v**2. Calculate j(y(g)).\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7440557292147 and 0.3?\nAnswer: 7440557292147.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/3*1415\/10*-2. Let x = t - -360. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gbxw when four letters picked without replacement from bwxggbxbxgxbggww.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -135891 to the nearest 1000.\nAnswer: -136000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19\/3? (a) -4 (b) 5 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 769196.9185973 plus -0.5?\nAnswer: 769196.4185973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 10:41 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -16 + (4 - -1) - (-7 + 7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-2 + 0) - (-13 - -15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 - 26. What is the least common multiple of 1 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 + 62*l - 456.\nAnswer: -2*(l - 19)*(l - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1784199\/219785 - 4428118322\/13555679445. Let d = -341128635\/6853 - -49778. Let t = w - d. What is the common denominator of t and 35\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o = 2 + 11. Let q be (-1)\/(-1)*-3 + 2. Put 2, q, o in decreasing order.\nAnswer: 2, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*(-1)\/(-6)*(-6 - 0). What is the biggest value in 2, -1.4, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 16*g - 22. Let m be (-25)\/(-600)*-102 + 2*6\/(-16). Give p(m).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*w + 33 - 1086 = 165 for w.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, n: 10, k: 4}. Give prob of picking 1 n and 1 t.\nAnswer: 50\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 12:05 AM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of 3517*y**3\/2 - y**2 + y. Let r be l(2). Round r to the nearest 1000.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 104*i - 90*i + 3520*i**2 - 408*i + 3625*i**2 wrt i.\nAnswer: 14290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 11900, 11559, 11218, 10877?\n\"Answer: -341*t + 12241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21547170 divided by 15446.\nAnswer: -1395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 592*g - 593*g - n = 2, 5*g - n = 20 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 34674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30323442 + 1?\nAnswer: -30323441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microsecond in nanoseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -689 + 575.1. Let u = x - -119. Let g = -5.0666 + u. Round g to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27.5 - -235.5. Let w = 207.7 - l. Let f = 67\/116 - -5\/29. Which is the third biggest value? (a) f (b) 2\/5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i - 731*i**2 - 2*i + 732*i**2. Let m(k) = -15*k**2. Calculate v(m(c)).\nAnswer: 225*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 494435901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12\/2)\/(-3))\/(4\/6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -180*f + 6. Let k be i(10). Is (-27)\/18 - k\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16 and 11.534?\nAnswer: -184.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 38 = c - 824, c + 21*v = 762. What are the prime factors of c?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 12*p**2 - 10*p - 27. Let n be k(13). Solve b - n = -2*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -34. Suppose 5*m = g + u, -5*m + 2 = -2*g - 4. What is the remainder when g is divided by 11 + (-30)\/5 - (1 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -504901.44 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 424 - 2014432?\nAnswer: -2014003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 4551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/6)\/((-2)\/3). Let q = t + 3. What is the common denominator of 0 + q\/(28\/(-19)) and 67\/20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**3 - o**3 + o**5)*(1 - 2 + 0) + o**5 + 9*o**5 + 50*o**5 + (-2*o - o**5 + 2*o)*(-3 + 0 + 1).\nAnswer: 61*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3296 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + 2 + (29 + -23 - (3 + 10)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(((-132)\/231)\/(2\/(-7)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bdnnndbcbb. What is prob of sequence ncbn?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25726974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5494*l**4 + 56*l + 14634034 wrt l.\nAnswer: -21976*l**3 + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -9*z + 9*z - 13*z - 7*z. Let k(r) = 2*r**2. Calculate k(s(p)).\nAnswer: 800*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*s, s - 2721 = -3*h + h. Calculate the greatest common factor of h and 204.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 - 29. Find the common denominator of 115\/18 and v - 4 - 85\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.1 and -0.38149.\nAnswer: -0.419639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14831515079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*r = 19*r + 1170. Calculate the remainder when r is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -80 - 4?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 - 991*j.\nAnswer: -991*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-3*sqrt(84)\/(2*sqrt(12)*1)*-2)**2.\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 15 + -5 + -4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1289*s - 3 + 1318*s + 13 to u + x*s and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t**3 - 36*t**2 + 15*t + 77. Determine v(-12).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.20303*6.9.\nAnswer: 8.300907","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: 753769200 divided by -75376920\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266*h - 265*h - 3*d - 12 = 0, -4*d = h + 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*n**2 - 55496 + 55496.\nAnswer: 64*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8280\/(-216)*(-9)\/5. Suppose 2*x - 384 = -x. Let n = x - y. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2349*y - 3672 = -2133*y for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1))**(-1\/37)\/(n\/(n\/n**(-1)*n))**(2\/5)*(n*((n\/(n\/(n\/n**(-2\/5))*n))\/n)\/n)**(-2\/15)\/(n**(-1\/2)\/((n*n**(-6)*n*n)\/n)) assuming n is positive.\nAnswer: n**(-4797\/1850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -82140 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 11*i - 12*i + 169, -684 = -4*i + 2*z. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1366 - 970. Does 66 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of -r**4\/12 - r**2 - 155*r - 3. Let u(d) = -685*d**2 + 1. Determine p(u(y)).\nAnswer: 1370*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 less than -435562693?\nAnswer: -435562693.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1210113100 (base 4) in base 13?\nAnswer: -115162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11330 - -200200?\nAnswer: 212130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x - 712 = -15*x. Is 42 a factor of (0 + x)*(-12)\/(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -893520 - -1665520. What is m rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2819075 by 2819075.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32\/21 + 6\/7. Let n = 0.12 - 0.1. Let q = -48421 + 48419. Put y, q, n in increasing order.\nAnswer: q, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + 9\/(-6))\/((-1)\/(-16)). Is a < 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7, v: 5, n: 4, c: 3}. Give prob of picking 1 c and 2 v.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 5*h**2. Let n(j) = 3*j**2 - 5*j. Let u be (3\/(-2))\/(6\/(-20)). Let t(y) = 2*y**2 - 3*y. Let s(i) = u*t(i) - 3*n(i). Determine z(s(k)).\nAnswer: 5*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.5932 rounded to zero decimal places?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -514\nAnswer: 3\/514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 + 3 + 16\/7. Which is the closest to k? (a) -3 (b) -0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, f: 7, h: 7}. Give prob of sequence ffjh.\nAnswer: 245\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -766, -1149, -1612, -2155, -2778, -3481?\nAnswer: -4264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 + -56 + 8 + (-2 - -2 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17557*x**3 + 4198*x + 4199*x + x**2 - 8397*x - 17476*x**3.\nAnswer: 81*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g. Let o(q) be the third derivative of -q**4\/8 + 47*q**3\/6 - 2*q**2 - 57. Calculate o(i(k)).\nAnswer: -3*k + 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**2 + 16*j + 12. What is the remainder when 41 is divided by p(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224*y + 114*y + y**2 + 110*y.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165739 is divided by 23677?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b + 5*b - b**3 - 4 - 7*b**3.\nAnswer: -8*b**3 + 7*b - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 400947 divided by 5?\nAnswer: 400947\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 151918, 9 in decreasing order.\nAnswer: 151918, 9, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 330041 to the power of 1\/2, to the nearest integer?\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) 10 (c) 8 (d) -6\/13 (e) -35 (f) -19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*f**5 - 12*f**4 + 2*f**3 + 20182*f**2.\nAnswer: -1020*f**2 - 288*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28488*c**3 + 13753*c?\nAnswer: 170928*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1436058.5789+-10553\nAnswer: 1425505.5789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 139547 to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**1)**(-9\/11)*((c\/(c**(-1\/10)\/c))\/c)**(1\/45))**(-46) assuming c is positive.\nAnswer: c**(90367\/2475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d + 3*d + 5*x + 1 = 7*d, -5*d + 17 = 6*x for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 3*r - 2*r)*((1 - 1 + 2)*(1 - 1 - 3*r**2) + 11*r**2 + 25*r**2 - 20*r**2).\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*o**4 + 18*o**3 - 81*o**2 - 38*o + 48 = 0 for o.\nAnswer: -3, -1, 8\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + 61. Let z = 13576 + -22903. Let s = z - f. Round s to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54966186?\nAnswer: 2, 3, 11, 25237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 4*i - 10 = 2*w, -6 = w - 2*i for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j - 6. Let i(u) = -3*u - 5. Let f(q) = 7*g(q) - 6*i(q). Let p be f(-6). Suppose -4*v + p*v - 132 = 0. Does 22 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -102175\/11 + 9295. Put -8, 0.5, y in descending order.\nAnswer: y, 0.5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.271213 years to millennia.\nAnswer: 0.007271213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 152 = -2*h. Let s = h + -77. Let i(g) = -g**3 + 6*g**2 - 5*g + 1. Let d be i(5). Solve -2*v + 2*o + 18 = s, 2*o + 12 + d = v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 35*w - 63. Let m be i(2). Put 4244, 1, m in decreasing order.\nAnswer: 4244, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22.325 + -33.675. What is the biggest value in -2\/7, -1, q, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -3.5. Let r = -0.449201 + -0.050904. Let o = l + r. Round o to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -203224 - 2?\nAnswer: -203230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 9 = -n, -w + 0*w = 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 14 + -10 - (4 + -19)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 2*r + 3*r - 189, 2*r = v + 86. Solve 0 = -2*k + 2*u, -4*u = 4*k + 1 - r for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189852.\nAnswer: 2, 3, 13, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**3 + 9*l**2 - 88*l + 382. List the prime factors of r(22).\nAnswer: 2, 3, 5791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -12*x - 79. Let c(d) = 3*d + 20. Let j(q) = 9*c(q) + 2*r(q). Let g be j(-6). Let l(o) = -o**2 - o + 2. Let p be l(g). Is -19 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36.815 + -37. What is j rounded to two decimal places?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 6 = 3*w + 2*x, 3*w = -4*x + 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + i**5)*(2 - 3 - 1) + 4*i**5 + 68*i - 68*i + 3*i**5 + 1 - 1.\nAnswer: 5*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 - 127*b - 1224.\nAnswer: (b - 136)*(b + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a - 5. Let w(o) be the second derivative of -o**2\/2 - 4*o + 1. Calculate c(y) - 6*w(y).\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2 = -0*c. Let n(q) be the second derivative of 28*q**3\/3 + 12*q. Let p be n(c). Calculate the highest common divisor of p and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1634\/4291 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -445156703*k**2 + 5947769*k + 23.\nAnswer: -890313406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 641044 is divided by 1319.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -156 + 158 - 3*g**2 - 2*g**4 + 4*g**2 - 3*g in the form j*g**3 + l + a*g**2 + d*g**4 + r*g and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 12760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rncrnbs. Give prob of picking 1 b and 2 n.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 3, b: 11}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 8 - 11. Suppose -4*k - 12 = -4. Let m = k + n. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r - 3. Let l(f) = -11 + 8 - 5*f - 6*f + 9*f. What is -2*l(b) + 3*x(b)?\nAnswer: -2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -14*t + 51. Let g be u(3). Suppose 2*x = z - 5, 9 = -3*z + 4*z - 4*x. Solve 0 = -5*q - z - g for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 + -26. Suppose -4*q + q = 6, 9 = 5*k + w*q. What is the highest common factor of k and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74804.37 kilometers to meters.\nAnswer: 74804370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/sqrt(6))\/sqrt(11) + -4 + sqrt(98).\nAnswer: -4 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 620 (b) 492 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, f: 2, l: 3}. What is prob of picking 2 f?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-604 + 167 - 502)*(i - 2*i - 2*i) as z + c*i and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67383 is divided by 66?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -l + 2, -5*l + 8 = -3*x - 20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-24))\/(2*354\/(-108) - -7). Sort i, -5, -2, -1\/12.\nAnswer: -5, -2, -1\/12, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3*h + 25 = 2*h, -5*h = -4*u - 24. Is u at most as big as -1\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -15*m + 351. Let x be y(24). Is ((-350438)\/(-51))\/((-6)\/x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -9*o + 4. Let c = -47 - -43. Let j(i) = -91*i + 39. Let q(t) = c*j(t) + 39*r(t). Let g(x) = 2*x. What is g(q(m))?\nAnswer: 26*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -398970 divided by -15345?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2 = 3*k + 4*n, -4*k - 2*n + 26 = 0. Suppose k*i - 290 = z, 0 = -2*i - z + 4*z + 116. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 1\/4, 1\/25, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5065298 less than or equal to -5065297?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/5 of a litre in millilitres?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 599 a factor of 4068572735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zc when two letters picked without replacement from dbcgzdbbzdcbwbdd.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -i. Let w(u) = i + u + 1 - u**2 + 0*u**2. Let d(k) = 8*k + 0*k - 2*k + 6 - 3*k**2 - 2*k**2. What is -d(f) + 6*w(f)?\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*((m*m**(2\/3))\/m)\/m)\/(m*((m**(-4\/3)*m)\/m)\/m)*((m\/((m*m**(-2\/17))\/m))\/m)\/((m*m\/(m\/(m**2\/m)))\/m))**(34\/7) assuming m is positive.\nAnswer: m**(38\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 134 (b) 2 (c) -4\/13 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 29*v - 31*v - 32, -5*v = 5*h - 70. Let w = 96 - -13. Calculate the remainder when w is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -84 - -83.7. What is the fourth smallest value in 2, -1, d, -14?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 5*t + 1. Let q(a) = -a + 1. Let f(j) = 4*q(j) + u(j). What are the prime factors of f(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 2:20 AM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 405 - 411. Let a(l) = -4*l**2 + 4*l + 28. Let q(u) = -8*u**2 + 8*u + 55. Let s(v) = j*q(v) + 13*a(v). Differentiate s(d) with respect to d.\nAnswer: -8*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1123 - 181 = -4*g + 3*t, 4*g + t = 1320. Let n = g - 332. Let k be (-2)\/(-8) + (-19)\/(-4). Sort k, 1, -2, n.\nAnswer: n, -2, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101001011011001011001001 (base 2) to base 14.\nAnswer: 162961b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -5*i**2 + 2*i - 4. Let k(t) = -26*t - 821. Let v be k(-32). Let o(l) = -15*l**2 + 6*l - 11. What is v*z(y) - 4*o(y)?\nAnswer: 5*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u + 15. Let g(z) = -3*z**2. Give n(g(w)).\nAnswer: -6*w**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 1)*3\/6. Let z be 1*(0 - y\/3). Suppose 0 = -f - z*f + 22. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 150\/19*h - 136\/19 - 14\/19*h**2.\nAnswer: -2*(h - 1)*(7*h - 68)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 11:12 AM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5*(sqrt(200)\/sqrt(10) - (sqrt(5) + 0 + sqrt(10)\/sqrt(2))))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*l**2 + 14*l**2 - 36*l**2 + (-8*l - 7*l + 10*l)*(l + 4*l - 4*l).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((3 - 6) + 5)\/1. Suppose 0 = -t*f + 148 - 40. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 436800 and 504?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(2\/19)*u*(((u\/u**14)\/u)\/u)\/u)**35*(u*(u*u\/u**(4\/5))\/u*u*u*u**(-9)*u)**(2\/29) assuming u is positive.\nAnswer: u**(-1340712\/2755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 5*d + 6. Let b be y(6). Let k be b + (-1180)\/(-45) + 4. Let u = -1127\/36 + k. What is the common denominator of u and -109\/30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/1312 and -59\/164.\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49992 divided by -2.\nAnswer: 24996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/((-3)\/5) - 0. Sort x, 5, -4, -3 in decreasing order.\nAnswer: 5, -3, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 * 35.47\nAnswer: 2.8376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 10 + -1 - 3 - 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, 1\/5, -3, -9, 0.46, 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1154552 is divided by 5370.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3*f + 2*f = 6, 8 = 4*y - 4*f. Let c(q) = 5*q**2 - 2*q**2 + 3*q**y. Let h(p) be the second derivative of -p**4\/12 + 3089*p. What is c(h(b))?\nAnswer: 6*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 447*f*n**4 - 2*f*n**2 + 71*f*n + 12*f - 4*n**6 + 14*n**2 wrt n.\nAnswer: 10728*f*n - 480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does -13232754 = -13232732?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from 211.3444.\nAnswer: 214.3444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in decades?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 30a - 0?\nAnswer: 30a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(((-9)\/(-6))\/(-3)). Suppose -14 = -d*h + 20. Suppose -3*t - h - 21 = -2*v, -3*v = t - 46. What is the smallest common multiple of v and 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10 + -2)*5\/200. Let s = -3.9 - -3.4. What is the smallest value in s, 12, u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3580*o + 811. What are the prime factors of d(9)?\nAnswer: 17, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 8*g + 5. Let d(m) = m**2 - 39*m - 25. Let c(i) = -2*d(i) - 11*n(i). Let s be c(-4). Solve 3*t - s = 2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 656649 is divided by 1824?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + b - 6. Let k be (2 - b)\/1*-12. Suppose -26 = -3*c + 118. What is the highest common divisor of k and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.49 * -0.2\nAnswer: 0.098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 6:47 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -47, -15, 75, 253, 549, 993, 1615?\n\"Answer: 5*d**3 - d**2 - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**3\/3 - 62*s**2\/3 - 1840*s\/3 - 3400 = 0 for s.\nAnswer: -10, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54 - 66. Suppose -5*q = 4*j + 143, -j + q - 38 = 3*q. Let r = u - j. Calculate the least common multiple of r and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = r + 10, 2*r = -5*v + 53 - 19. Suppose 3*j + 14 = -l, j - 4*l = v*j + 14. Let y = -4 + 3. Is j smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4874635\/117 + 41663. What is the common denominator of f and -89\/405?\nAnswer: 5265","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-33)\/(-9) + -5)*-3. Suppose -5*x + 4*r = 106, 4*r - 88 + 4 = d*x. Let j be 800\/(-2)*x\/(-44). Round j to the nearest ten.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 6*v. Let u(o) = 4*o**2 - 325*o. What is u(f(x))?\nAnswer: 144*x**2 - 1950*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2161 (base 7) in base 6?\nAnswer: -3334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000533422 to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 17*k**2 + 16. Let m be p(17). Let j(u) = -106*u + m + 20 - 33. What is the hundreds digit of j(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -126, 3 in increasing order.\nAnswer: -126, -30, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 969765?\nAnswer: 3, 5, 17, 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4*k**2 + k + 1. Suppose 5*c = 0, c = 2*i - 4*c + 2. Let v be s(i). Suppose r - 2*r - 4*g = -22, 5*r - v*g - 134 = 0. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12809154\/(-22)*(-1)\/18. Let j = -32347 + i. Calculate the common denominator of j and 19\/8.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -2. Let r = b - 1. Let d be (-15)\/(-20)*72\/27. Solve 4*k + 18 = -d*t, r*k + 4*k + 19 = -3*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -647, -0.1, 0, -6\/5, 0.5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z + 3*z = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31883\/40 + 797. Let p = 2.08367 - 2.58367. What is the smallest value in -2, p, n, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 5*s - 1165, -s = 7*q - 4*q - 250. Let p = 151 - s. Which is bigger: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -6*s + 101. Let h be g(6). Suppose h = 10*i + 25. Solve -r + i*r = -j - 4, -3*r = 3*j - 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8851 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**4*f*x + a**4*x**3 + 709*a**3*f - 12*a**2*f*x**3 - a**2*f*x**2 + 2*a**2*x**3 - a**2*x + 11*f wrt a.\nAnswer: 24*a*f*x + 24*a*x**3 + 4254*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7785, 30448, 68219, 121098, 189085, 272180?\n\"Answer: 7554*u**2 + u + 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 179890.2 micrograms to nanograms.\nAnswer: 179890200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s + 467 - 494 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*u**4 + 742*u**3 - 2828*u**2 + 592*u = 0.\nAnswer: 0, 2\/9, 4, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7236 - 4199. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 6) in base 5?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*c**2 - 2*c - 56*c**2 - 1 + 84*c**3 + 9*c**2 - 4*c**3.\nAnswer: 80*c**3 - 64*c**2 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -65 - -113. Let d be 5\/(-2)*16\/(-10). Suppose -t = -4*q - d*q. What is the remainder when q is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.61 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 8*v = -2*p - 10, 5*v - 10 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/4850 and -18\/4205.\nAnswer: 4078850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 12*m**2 - 29*m - 53. Let h(t) = 3*t**2 - 7*t - 13. Let y(d) = -9*h(d) + 2*i(d). What is the tens digit of y(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 565*n + 1485 = 439*n + 291*n for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 3:03 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.076 and -20.\nAnswer: -20.076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t + 23 + 25 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 6*l**2 - 4*l + 6. Give i(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*x, -4*a - 5*x = -3*x + 14. Let f(o) = 2*o**3 - o**2 + 3. What is f(a)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3593, 3528, 3465, 3404?\n\"Answer: u**2 - 68*u + 3660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1941, 3898, 5867, 7854, 9865, 11906, 13983?\n\"Answer: r**3 + 1950*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 3:38 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6442*(-91276)\/40 - 1\/(-5). Round h to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3634\/215 - -99\/43. Is -14 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a + 2*a + 3*a)*(a - 3*a + 3*a) - 2*a**2 + 2*a**2 - a**2 - 6*a**2 + 0*a**2 + 3*a**2 to f*a**2 + d + l*a and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.2, 5, 7\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -328*z - 5. Let r(b) be the third derivative of -b**4\/24 - b**3\/6 + 9*b**2. Let o(u) = c(u) + 5*r(u). Is o(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9ecbe (base 15) to base 11\nAnswer: -315a87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 330815.694 rounded to the nearest 100?\nAnswer: 330800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 94*h**2 + 983*h + 23. Give t(82).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 6*j**2 - 5*j + 6. Let x be (-1)\/2*(-590)\/59. What is f(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -k**7\/280 + k**6\/180 - k**5\/60 + k**4\/24 - 2*k**3\/3 + 4. Let o(z) be the third derivative of p(z). What is o(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -b**6\/10 + 47*b**3\/6 + 285*b**2\/2 - 3*b + 9. Find the first derivative of t(p) wrt p.\nAnswer: -12*p**3 + 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -2. Let j(s) = s. Let n be j(i). What is z in z**3 + z**n + 0*z**3 - 4*z**3 = 0?\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 1 = 5*k, 2*k - 10 = -5*f + 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 511895870 and 9610?\nAnswer: 9610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001011 (base 2) to base 10.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 1:15 AM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, 190\/11, 0.4, -0.01, -0.06?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.67 + -1.3620144?\nAnswer: -29.0320144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*c**4*r - 5*c**4 + 10*c**3*r + 636*c**2*r + 3*c + 2 wrt c.\nAnswer: -168*c*r - 120*c + 60*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 35*o**2 + 74*o**2 - 33*o**2 - 3)*(-o**3 - 3*o + 3*o).\nAnswer: -6*o**5 - o**4 + 3*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3474 and 54.\nAnswer: 10422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 + 3567450443 + 0*c**2 - 1783725220 - 5*c**2 + 3*c**2 - 1783725223.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 19*q**2 + q + 21. Let a be r(-19). Suppose 1 = 3*y - a. Put 2, -4, y, -3 in descending order.\nAnswer: 2, y, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssn when three letters picked without replacement from {n: 1, s: 4, z: 5}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rqrrqrqr.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 6*h**2. Let v(i) = i**2. What is -4*g(q) + 22*v(q)?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1699743, 6798892, 15297459, 27195444, 42492847, 61189668?\n\"Answer: 1699709*s**2 + 22*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**3 - 2*s**2 - 46*s**4 - 11*s**2 + 7*s**2 + 4*s**2 to the form m*s**4 + c + f*s**3 + g*s + v*s**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -1\/4 (b) 0.5 (c) 4\/7 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hteh when four letters picked without replacement from {h: 5, e: 5, t: 2}.\nAnswer: 5\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*b - 2 = -56. Let q(s) = -s**3 - 3*s**2 - s - 2. Let t be q(-3). Let o(c) = 0*c**3 + 0 + 2 + c**3 + c - t - 2*c**2. What is o(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + 2. Let m = 20 - r. What is the greatest common divisor of 10 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xkkkaaakaakaakx. What is prob of picking 3 a and 1 k?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 2*c + 20 - 8.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 11:57 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 2, b: 1, p: 1, r: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1435403335 (base 6) to base 15\nAnswer: -188908b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-4 + 39 - 82)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2432981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 1.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 5*f - 54, 5*j = -2*f + 4*f - 33. Calculate the remainder when 17 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 181*s**2 - 1. Let q(m) = 7*m. Calculate q(b(z)).\nAnswer: 1267*z**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (4 - 1 - 6)) + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by -4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 676, 1527, 2366, 3199, 4032, 4871, 5722?\n\"Answer: w**3 - 12*w**2 + 880*w - 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1725\/7 + -247. Which is the closest to -1? (a) x (b) 0.03 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 7:12 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 127222 - -0.5.\nAnswer: 127222.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 748 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111100011 + 100000?\nAnswer: 1000000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 s when three letters picked without replacement from {s: 6, x: 3, v: 5, w: 4, j: 1, e: 1}.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 135 and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08 - 696.91.\nAnswer: -696.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 226003016 - -3?\nAnswer: 226003022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(((-30)\/(-4))\/5). Let x(b) = 4*b**2 + 15*b**3 - b**2 - 4 - b**y + 2*b + 5. Let l = 45 - 46. What is x(l)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 3*f**2 + 4*f + 5. Let p be h(-4). Suppose 0*y = p*y - 185. What is the remainder when y is divided by 51\/4 + (-2)\/(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 16*v - 4. Let b(t) = t**2 - 20*t - 5. Let f(w) = -4*b(w) + 5*c(w). Let u(z) = 14*z**2 - 5. Give u(f(a)).\nAnswer: 14*a**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (76\/24)\/19*-2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-393190)\/(-861) - 456)*((-51)\/(-8))\/(3\/(-36))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 124 and -0.341.\nAnswer: -42.284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42.3*6.\nAnswer: -253.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48*2*(378\/(-24))\/21*1.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 913 is divided by 864.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.77703 millimeters in nanometers?\nAnswer: 15777030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 12900.2193 seconds?\nAnswer: 0.14930809375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (5*-1 - (-34)\/2380*-30).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 16 = -4*l, k - 4*l = 6*k - 17. Suppose 3*i = 2*y + y - 3, 3*y - 9 = -3*i. Sort y, -4, k in descending order.\nAnswer: y, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 20*y**4 - 805*y**3 + 4660*y**2 + 4165*y - 1320 = 0.\nAnswer: -1, 1\/4, 8, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 0*i**2 + 2\/3*i**3 - 44 + 0*i. Let r(j) = 629*j - 221. Let u(n) = 17*n - 6. Let l(t) = -6*r(t) + 221*u(t). Calculate c(l(q)).\nAnswer: 578*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 12485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 604497 is divided by 67164?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5432*h + 5429*h - 227 - 10859*h to the form s*h + u and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 - -222. Suppose -4*l - 26 + k = 0. Suppose -15 + l = 3*m. Solve -m = 2*j - 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p**3 - 2125*p**2 + 490160*p - 23270720 = 0. What is p?\nAnswer: -601, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1746325 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 4*q**2\/7 - 1836*q\/7 - 14944\/7 = 0.\nAnswer: -8, 467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence td when two letters picked without replacement from xxhxdhsxthshs.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60*q**4 - 56*q**4 + 5*q**4 + (2*q**2 - 2*q**2 - 3*q**2)*(-15*q**2 + 5*q**2 - 6*q**2) to a*q**4 + z*q**3 + k + d*q**2 + f*q and give a.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -23*u + 188. Let b(c) = -c**2 - 61*c + 564. Determine 3*b(d) - 8*n(d).\nAnswer: -3*d**2 + d + 188","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1593.973974 to 1 decimal place.\nAnswer: 1594","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 1118 = 4994. Is y a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -i**2\/2 + 17*i + 12. Let l(r) = -2 - 2*r + 0 - 3. Determine l(s) - 6*q(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-770)\/110*2\/(-6).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2)*y**(-2\/37))**19)**(2\/49) assuming y is positive.\nAnswer: y**(-2888\/1813)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -46*p**3 - 8*p**2 - 3*p + 3. Let n be f(4). What are the prime factors of (-20)\/(-70) - (0 - n\/(-21))?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(2 + 30\/(-9)). Let c be 63\/4 + h\/12. Suppose 0 = 14*x - c*x + 1778. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 492813 and 34068?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18644 + 18649. What is the fourth smallest value in 2\/7, 1\/4, q, -0.11, 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 r when two letters picked without replacement from {s: 2, r: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 3:00 AM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 9*h**3 + h**2 + 3*h. What is a(-2)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -596916 divided by 6\nAnswer: -99486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**1*a\/a**(-3))\/(a**(-1\/8)\/(a**(-4\/13)*a)))**(2\/13) assuming a is positive.\nAnswer: a**(605\/676)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -419 + 1677\/4. Find x such that 1\/4*x - t*x**4 + 1\/4*x**2 + 0 - 1\/4*x**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 154 and 1672.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243*k + 237*k + 306 = 0. Suppose 3*w - k = -p + 390, 4*p - 1788 = -4*w. Does 25 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 5*c. Let v be z(-4). Suppose 3*r = v*r. What is r rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.375487406 rounded to three dps?\nAnswer: 27.375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 6*z. Let j be g(7). Suppose -j = 4*n + 45. Let m = 3 - n. Is m a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/6*(2 - -4). Suppose 3*w - 8*w = 5. Let m be y + (-2)\/w + -2. Solve -q + 4 = -0*q + 4*z, -z = -q + m for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -27*m + m**2 - 3*m**2 + 3 + 16*m. Let w be k(-5). Suppose -7*o = -w*o. Solve 23 = -5*x + 2*a, o*a - 8 = -2*a for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a**2 + 482*a + 3513. What is b(-7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.06 - 1. Let i = -9648 - -9645. Do v and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of y**5\/20 + 5*y**4\/12 - 2*y**3\/3 + 8*y**2 - 20*y. Let g be m(-6). Factor -g*c + 160*c**2 - 323*c**2 + 158*c**2 - 31*c.\nAnswer: -5*c*(c + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 6:56 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 138.6 * 0.061.\nAnswer: 8.4546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 70b (base 16) to base 9\nAnswer: 2423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*y + 2795 + 1869 = 0 for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -5*j**3 - 262*j**2 - 382*j - 1300. What is g(-51)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven eighths of a meter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 504 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 2\/181 (b) 10 (c) -1.03 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*y - 4 = 0, 14 = -h + 5*y - 4. What is the remainder when 86 is divided by (-24)\/14 + h - (-416)\/14?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/87 and 67\/87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -1\/6, -1, 1872, -6\/19, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 120*k**5 + 105*k**2 - 471028*k?\nAnswer: 2400*k**3 + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 45*v + 646. What is the remainder when 5791 is divided by x(-14)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -517798, -517802, -517806, -517810, -517814, -517818?\n\"Answer: -4*t - 517794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1777 - -3762. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -t**10\/226800 - t**9\/18900 - t**8\/5600 + 3*t**4\/4 + 22*t. Let l(m) be the third derivative of f(m). Factor l(o).\nAnswer: -2*o**3*(o + 3)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 6*k**2 - 9*k + 14. Let d be l(7). Let a(r) = r**2 - r + 2. What is a(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -38\/3*q**3 + 0*q + 0*q**2 - 38 - 15\/2*q**4. Find the third derivative of j(d) wrt d.\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -223 - -775. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3233.\nAnswer: 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -w**6\/60 + w**5\/12 + 5*w**4\/24 - w**3\/2 + 46*w**2 - 1. Let m(z) = -3*z**3 + 7*z**2 + 7*z - 4. Calculate -7*j(v) + 5*m(v).\nAnswer: -v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1449703.\nAnswer: 971, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-13)\/(-2) + (-3)\/6. Differentiate -3*v**3 + 4*v + 5*v - 9*v + g wrt v.\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277 a factor of 72192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 33*b**2 + b - 29. Let s be h(33). What is the remainder when 117 is divided by 5*(3 + s + -4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2011428945 to the nearest integer?\nAnswer: 44849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2795027.\nAnswer: 2795027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/sqrt(5)*-6 - (sqrt(156)\/(sqrt(72)\/sqrt(6)))**2.\nAnswer: -6*sqrt(13) - 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 7:15 AM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 6752 = -5*g, -8 = 4*q + 4. Let z = g - -201. What is z rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q**3 + q - 1. Let v = -8 - -9. Let f be j(v). What is the first derivative of 17*n**3 - f*n**4 - 17*n**3 + 6 wrt n?\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 0. What is the third derivative of s*g**2 - 2*g**2 + 2*g**4 - g**2 wrt g?\nAnswer: 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15901 + 18981. Is 5 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20.87 - -20.67. What is the closest to -1 in w, -5, -0.3, -44?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 11) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -64 - 271. Let l = o + 335.0000157. What is l rounded to six decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*f**2 + 15*f**2 - 84*f**2 + (2*f + 0*f - 3*f)*(-f + f - 3*f) in the form g + o*f**2 + q*f and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = -2*y - 62 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.58? (a) 2 (b) 0.1 (c) 0.0853\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -6 + 3 - 2*u**2 + 3. Let j be 4 - 18 - (1 + 0). Let o(w) = 24*w**2 - 15*w - 15. Let a(f) = f**2 - f - 1. Let l(x) = j*a(x) + o(x). Give l(r(c)).\nAnswer: 36*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.42 - 0.17. Let k = -9.75 - w. Let m = k + 10.1. Sort m, -2, 3 in increasing order.\nAnswer: -2, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {w: 4, l: 3, c: 1, q: 10}.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2483\/2 - 1269. Let q = -1\/6996 + -131171\/27984. What is the common denominator of q and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 1:15 AM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + o - 1. Let w(b) = -16*b**2 - 4*b - 3. Let p = -9 - -12. Let j(d) = p*h(d) - w(d). What is the second derivative of j(y) wrt y?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3412)\/(-24737))\/((-3)\/(-29)). Solve 0*r**2 + 0 + x*r**4 - 14\/9*r**3 + 0*r + 2\/9*r**5 = 0 for r.\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 6. Let r = -2 + 2.1. Let j = -0.2 + 0. Which is the nearest to r? (a) j (b) x (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31704*q - 15856*q - 15860*q.\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.045311 hours to microseconds.\nAnswer: 21763119600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2140016?\nAnswer: 2, 131, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9, -9, -7, -3, 3?\n\"Answer: d**2 - 3*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 48606652?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2 - 20*k + 42*k**2 - 24*k**2 + 22*k. What is the remainder when 909 is divided by j(-2)?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 15*n - 4. Let q be y(6). Let f = q - 146. Let r = f - -83. Calculate the remainder when r is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -18. Let d = -3 - g. What is the remainder when d is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -2.108\nAnswer: 0.8432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - ((2 - -1 - -10) + 4) - -50.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3 + 9 = 2*p, 3*u - 12 = 0. Suppose p = -x + q, -q + 2 = -2*x - 3. Let z be ((-28)\/(-3))\/(x\/(-3)). What is the greatest common divisor of 70 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11\/4? (a) 1\/6 (b) -1\/40 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -194*b**2 - 24*b**2 + 43*b**2 - 264*b**2 as h*b + z + d*b**2 and give d.\nAnswer: -439","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of 1\/2*v**2 - v**3 - 1\/40*v**5 + 1\/4*v**4 + 0 - v. Let c(f) be the first derivative of a(f). Suppose c(m) = 0. What is m?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 4 = 5*v. Sort 3, -5, v.\nAnswer: -5, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*j + 6, 5*f + 5*j - 3 = f. Let q(c) = 7*c**2 - 2*c + 1. Let k be q(1). Suppose 56 = -2*d + k*d. Solve -4*i - d + f = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 1152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46*d*g**2 + 93*d*g - 321*d + 1091*g**2 - 3*g + 1 wrt g.\nAnswer: -92*d + 2182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 21*m**3 + 11*m + 28. Does 10 divide a(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*p - 12 - 90. Solve -2 - 4 = -p*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.6 - -9.5. Let o = 6.9 - s. Which is the third biggest value? (a) 0.3 (b) 3\/8 (c) -5 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2 - 1 + 2 + 2 + w**2. Let c be k(-1). Factor 0 - 1\/4*r**c + 0*r - 1\/4*r**3.\nAnswer: -r**2*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -470066 (base 8) to base 13\nAnswer: -57972","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -9615 and -9724 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*k**2 - k**2 + 948 - 948.\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6877*h**2*r - 247*h**2 wrt r.\nAnswer: -6877*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6542 a factor of 1764533417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/126 and 58\/72933?\nAnswer: 437598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/620 and -83\/62.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-1.3338.\nAnswer: -4.0014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9856287 a multiple of 707?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3 - 23 = 0. Solve r*v = -s + 22, -2*v = 3*s + 3 - 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 72, 0, -10, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxz when three letters picked without replacement from {f: 1, z: 5, x: 2, s: 8}.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 179 + -179. Suppose -3*a - a + 56 = d. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21200133032 + 10?\nAnswer: -21200133022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1247012554 a multiple of 206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -m - 9, 0 = -k + m - 1. Suppose -6*q + 4 = -k. Let j(v) = 52*v**3 + 2*v**2 - 3*v + 2. Is j(q) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.18 + -0.08. Is 2\/27 less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -902 - -905. Let s(h) = h**2 - 3*h + 5. What is s(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*p**2*r*z**2 - p**2*r + 10*p**2*z + 21065*p**2 - 5*p*r*z**2 + 23*p*r + 9*p*z**2 - 546*z**2 wrt p?\nAnswer: -8*r*z**2 - 2*r + 20*z + 42130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/5520 and 47\/575.\nAnswer: 27600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m + 18*m = l - 3, 2*l - 6 = -4*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 32113107*c**2 + 1768848 wrt c.\nAnswer: 64226214*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6041423 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -86 - 103*x**4 + 88 + x**3 + 18*x + 92*x**4 to v*x**2 + y*x**4 + p + m*x**3 + h*x and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2983620 rounded to the nearest ten thousand?\nAnswer: -2980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18670552 and 2?\nAnswer: -37341104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 11 + 4, -3*w = -4*a + 11. Let z be (299\/(-26)*a)\/((-2)\/4). Which is bigger: z or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 8 = -2*y, 3*y - 5*y = -2*o - 8 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -165*k + 7*k**2 - 3*k**2 - 205 + 213 + k**4 - 3*k**2 to x + q*k + j*k**4 + d*k**2 + c*k**3 and give q.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 136*i**3*t**2 + 2199*i**3 + 35*i**2*t*u - i**2*u - 2819*i*t**2*u - 2*t wrt t.\nAnswer: 272*i**3 - 5638*i*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13977*n - 20*n**3 + 27961*n - 2*n**2 - 13982*n to the form w*n**3 + i + o*n**2 + b*n and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 20 + 15 = -13. Suppose 2*n - 1 = 3*v + 2, 4*v + 4 = n. Suppose n = r*s - s - 30. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-five quarters of a microgram?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 5:49 AM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7\/4 of a microsecond?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19062 and 108.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, x: 1, w: 1, v: 1, c: 1}. What is prob of picking 3 s?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**4 - j**4 + 3*j**4)*(2 + 0 - 4) + j**4 + 4*j**3 - 4*j**3.\nAnswer: -7*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 629861*y - 930511 wrt y?\nAnswer: 629861","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from eeeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 12 = 4*r, 22 = -3*r - 2*r - 2*v for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of w**5\/30 + 21*w**2\/2 - 3. Let g(u) be the second derivative of o(u). Let z(c) = 13*c. Determine z(g(q)).\nAnswer: 26*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u - 4*u - u)*(u**3 - 2*u**3 - 4*u**3) - 5*u**4 + 3*u**4 + 0*u**4 to j + q*u**4 + n*u**2 + s*u + o*u**3 and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1550113031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -161 less than or equal to -160?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1994982721 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -728*y**2 + 245*y**2 + 247*y**2 + 243*y**2. Let v(f) = -17*f. Give d(v(s)).\nAnswer: 2023*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 16*r + 21. Let v be (-90)\/(-12)*(-3 + 1). Let h be z(v). Suppose 4*s + 4 = -4*f + h*f, f = 2. Put -1\/5, -2\/21, -5, s in ascending order.\nAnswer: -5, -1\/5, -2\/21, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(693)\/(sqrt(11)*-1))\/sqrt(9) - (sqrt(140)\/sqrt(5) - sqrt(28))*-6).\nAnswer: -sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) - (sqrt(133) + sqrt(133) + (sqrt(133)*-3*1 - sqrt(133)) + sqrt(133) + sqrt(133)))\/(3*sqrt(700)).\nAnswer: sqrt(19)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37095 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 9 = 4*r. Solve 15 = -m + 5*u, r*m + 5*u - 25 = 3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and 3554626.\nAnswer: 3554626.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2. Let b(y) = 3*y**2. Let z = 149 + -138. Let w(u) = -u**3 + 10*u**2 + 9*u + 20. Let m be w(z). Calculate m*f(v) + b(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-6665)\/(-25) + ((-36)\/(-15))\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7841 is divided by 733?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/956 and -49\/3496.\nAnswer: 835544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2913 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 44\/8 - (0 - -5)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 o when two letters picked without replacement from oosoozsszoozszsb.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 38 - 10. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 14) in base 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 540*f**2 + 533*f**2 + f**3 - 1610*f**2 + 537*f**2.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3 + (0 + 0 + 2)*(-3 + 4 - 3))*(4*r + 2*r**3 - 4*r)*(-4*r + 14*r + 11*r).\nAnswer: -210*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 3 + -1 - -143. Suppose -3*k + 113 = g - 3*g, 4*k - s = -g. List the prime factors of k.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4*(1 + -2)*4. Let g be (-1215)\/(-35) - 2\/(-7). Let z = g - c. Does 8 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 1215?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -11310, -22623, -33936, -45249?\n\"Answer: -11313*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/28*(-8)\/(-2)*-3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 947*y + 399*y = -21*y - 36322 - 1954 for y.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/(-75)*15\/(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 3. Let i(p) = 2*p**2 + 5. Calculate 6*i(c) + 10*j(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -f**2\/2 - 11*f - 35. What is z(0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 27, 44, 45, 24, -25, -108, -231?\nAnswer: -400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -451.733529 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65 - -181. Suppose -u = -3*d - 2. What are the prime factors of d?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c + 1. Suppose 3*z + z - u = -8, 0 = 3*z - u + 7. Let l = 7 - 10. Let g = l + z. Calculate k(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 150 and 31225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**4 - 2*j**4 + 3*j**4 + (5*j**2 - 5*j**2 + j**2)*(-4*j - j**2 + 4*j) + (-66*j + 359 - 359)*(3*j**3 - 5*j**3 - 5*j**3).\nAnswer: 460*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, k: 1, d: 1, t: 1, z: 1}. Give prob of sequence pktz.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a kilogram in grams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 2*a + 3*g - 22, g = 4*a - 16. Suppose -a*r + 100 = -5. Let d be (-2 - -1)\/((-3)\/r). Calculate the highest common factor of d and 42.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, l: 3, j: 11}. What is prob of picking 1 l, 1 w, and 1 j?\nAnswer: 33\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 7*n + 222. What is the units digit of v(-29)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 3, f: 8}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (286\/(-1001))\/((-1)\/(-14)*38)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -634, -4, -55411.\nAnswer: -55411, -634, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*i + 2*c, i - 5*i - 20 = 4*c. Is i > 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3 or 1456.562?\nAnswer: 1456.562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1122015 is divided by 280502.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 - 0.2. Let o = 7.9 - 8. Is u less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -47, -34, 27, 136?\n\"Answer: 24*j**2 - 59*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23043 smaller than 23064?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.5 + -3. Let j = d - 3.5. Let m be -2*(4\/2)\/(-4). What is the smallest value in j, 2\/11, m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -906 divided by -6\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in five quarters of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -3\/8 (b) -1\/5 (c) 0.59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + t - 9 = -3*k, t - 1 = 0. Suppose 2*c + 3*u - 21 = -k*c, 5 = -5*u. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -j**3\/2 - 335*j + 1. Let y(g) = 498*g. Determine d(y(n)).\nAnswer: -1494*n","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: -537120 divided by 6714\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 52307933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 4536855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 77, 111, 145?\nAnswer: 179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53 - -1. Let p(f) = f**3 + 3*f**2 - 3*f - 1. Let b be p(-3). What are the prime factors of g\/b + 3\/12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4+3110965\nAnswer: 3110961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xxxcxxxxcxxxxcxcxxxx.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.413 rounded to 1 dp?\nAnswer: -38.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 w when four letters picked without replacement from pwjwwjpp?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -681 minus -24.2?\nAnswer: -656.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 200 (base 4) to base 9\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -25*r**3\/3 + 7*r**2\/2 + 13*r. Let u be v(-14). Suppose -3173 + u = -6*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*w*x**4 - w*x - 2*w - 1493294*x**4 + 67087799*x wrt x.\nAnswer: -252*w*x**2 - 17919528*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/253333 - -26093679\/96266540. What is the common denominator of u and 137\/3192?\nAnswer: 15960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2781122, -2781119, -2781116, -2781113?\nAnswer: -2781110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 371 - -1087780?\nAnswer: 1088261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x = x - 56. Let y(f) be the third derivative of f**6\/120 + 11*f**5\/60 - 3*f**3\/2 + 2*f**2. Is y(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11180*j + 11152*j = 672 for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -398744600 by -6.\nAnswer: 199372300\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*o - 60 + 0 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4484\/(-418))\/((-3)\/3). Let v = 0.03 - -0.97. Which is bigger: v or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -4*c**2 - 23520*c - 34574400 = 0.\nAnswer: -2940","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5752157*f**3 - 2*f**2 - 86*f + 28252 wrt f?\nAnswer: -34512942*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 o, and 1 s when three letters picked without replacement from {o: 2, h: 1, z: 2, t: 1, j: 1, s: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 3*v = 2*v + 8, 0 = -4*l + 5*v + 6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.4 - 1. Let w = -19.19 + 23.19. Which is the third smallest value? (a) -11 (b) w (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 5*w**3 - 1 + (-4 + 5 - 3)*(-29 + 29 + 4*w**3) + (-3 + 3 + 2)*(4 - 4 + 6)*(2*w**3 + 3*w**3 - 11*w**3).\nAnswer: -75*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 107433?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 266828743 to the nearest integer?\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -b**4\/4 + 11*b**3\/3 + 7*b**2 - 8*b - 13288. Determine f(12).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/71992 and -29\/110980.\nAnswer: 1997418040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5430, 43896, 148316, 351666, 686922, 1187060, 1885056, 2813886?\nAnswer: 4006526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 7*w - 6. Let j be t(-8). Suppose -9 = -j*z - 5. Solve 2*k = 2 + z for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wzzzzpzwgw. What is prob of picking 1 z, 1 g, and 1 p?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*c**5 + 29*c**2 + c?\nAnswer: 1140*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 5*l, 3*q + l = 5*l - 2. Solve -6 = h + q*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 844908.3 months in years?\nAnswer: 70409.025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3191.\nAnswer: 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5370 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: What is 409 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -8, 43, -4, 54, 3 in decreasing order.\nAnswer: 54, 43, 5, 3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zjjmjzjppjnzpuz. Give prob of picking 1 p, 1 n, 1 u, and 1 j.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 5*g - 5 = -2*d - 150, g = -2*d - 34 + 8 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -9. Let l be (d - -2) + 0 - -1. Solve -b = -l*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 12, o: 3}. Give prob of picking 3 o.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one quarters of a micrometer?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/42 and 19\/126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -12*b + 24. Give q(-3).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 840?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 3344 = 3*o, 67*o = 64*o - 5*n + 3326. What is the remainder when o is divided by 102?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -4*q**2. Let s(f) = 9*f**2 - 15 + 184*f**2 - 127*f**2. Give u(s(y)).\nAnswer: -17424*y**4 + 7920*y**2 - 900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 673*b + 3976. Calculate j(6).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*n*n*n**(-5))*n*n**(-25) assuming n is positive.\nAnswer: n**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a centimeter in micrometers?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 456054855 to the nearest integer?\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6115896*b*t**2 - 4*b - 50*t - 214 wrt t.\nAnswer: 12231792*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) 4 (c) -5 (d) -4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*(-14604)\/240 + (-4)\/(-10). Is 0.3 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -14. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(304) + -4*sqrt(304) - sqrt(304))**2 - sqrt(304).\nAnswer: -4*sqrt(19) + 4861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 2. Let u be d(0). What is the highest common divisor of u and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 6:33 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 6. Let f(d) = w*d - 2*d + 2*d + 0*d. Let n(p) = -p**2. What is f(n(t))?\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -79*m + 75*m + 776. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 25186*g + 2258641. Determine b(90).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4553503?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4 + -2)*1)\/(26\/195).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20133913 - -32553913. What is f rounded to the nearest 100000?\nAnswer: 12400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*h - h**2 + 13*h + 7*h - 9*h**3 to q + k*h + v*h**3 + z*h**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 765\/30*(-4)\/6. Let a = 17 + i. Suppose 5*z + 15 = -4*x, -z + 3*z + x + 3 = a. Is -1\/4 greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*d*m**3*p + d*m**3 + 17*d*p + 2*d - 10421*m**3 - p with respect to d.\nAnswer: 6*m**3*p + m**3 + 17*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204770.\nAnswer: 2, 5, 20477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 67*j**2 + 14*j + 24. Let i be g(-4). What is the highest common divisor of 65 and i?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 + -26. Sort -2, 5, h in decreasing order.\nAnswer: 5, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-2))\/((-4)\/(-8))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a hour in seconds?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j + 4*j**2 - j**2 - 4*j**2 + 14*j.\nAnswer: -j**2 + 12*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1156.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001006 to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -4*i**3\/3 + i**2\/2 - 8*i + 1. Let r(k) = -k**2 - 2. Let o(n) = -6*m(n) + 22*r(n). Find u, given that o(u) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 8:30 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 76547 (c) 1\/3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*t + 6*t + 2*p, 5*p + 20 = -2*t. Suppose -2*u + 3*g + 11 = t, -4*g = 2*u + u + 26. Let f = 4 + u. What is the lowest common multiple of f and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 18027 + 20417. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -7*d + 4*d. Suppose d*p + 1 = -4. Let n = 20710 - 20712. Put -8, p, n in ascending order.\nAnswer: -8, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1718062 divided by 26\nAnswer: -859031\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7519232 divided by -128?\nAnswer: -58744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -842*p**2 + 489*p**2 - 204 + 325*p**2 in the form b*p**2 + h*p + q and give b.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is baab (base 15) in base 6?\nAnswer: 503012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - r**2 + 15. Let c be y(0). Let t = 23 - c. Let x = 2 - 2. Solve k + k - t = x for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 368*d. Let c be j(2). Suppose -2*t = -2*a + 3*t + 5855, -t = 5. Let k = a - c. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*v - 8*v. Let u = v - 3. Suppose u = 4*i + 1 - 5. Solve -i = a - 5 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b = -15*b + 27 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 68807 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 651346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (2 - 14) - -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -570*t + 10250. Give n(18).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 12:19 PM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/30 of a minute?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of d**5\/20 + d**4\/3 + 2*d**3 + 66*d**2. Let q(m) = 21*m**2 + 54*m + 84. Let h(o) = 15*i(o) - 2*q(o). Factor h(f).\nAnswer: 3*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((4\/120)\/(4\/(-10))). Calculate the highest common factor of 60 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -194*k. Let j(i) = 46367*i. Give -5*j(f) - 1194*n(f).\nAnswer: -199*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1868, -7, 4, -5, -3, 0, -2 in ascending order.\nAnswer: -1868, -7, -5, -3, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7, -5, -78474.\nAnswer: -78474, -7, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13718 by -38.\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-11)\/((1 - -1)\/(-2)). Suppose -f*l + 26 = -10*l. Is l a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(-33032)\/(-280) - 3\/7. Let i = 118 + v. Which is the closest to 1? (a) 1 (b) -5\/9 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000899501 rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -210372820 rounded to the nearest one million?\nAnswer: -210000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m*m**(1\/13))\/m)\/m*m**(-1\/4) assuming m is positive.\nAnswer: m**(-9\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -190 - -184. What is the closest to 0.1 in -4, j, 4\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, -215, -486, -867, -1358?\nAnswer: -1959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/745 (b) 1 (c) 5\/4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5\/101 + 1777\/1212. Let f(p) be the second derivative of -14*p + i*p**4 + 0*p**2 - 3\/2*p**3 + 0. Find the second derivative of f(t) wrt t.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*i = 133*i - 49*i - 306 for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 168?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1911 and -0.6.\nAnswer: -1911.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -822*b + 6*l = -825*b - 30, 5*b + l + 5 = -0*l for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280764?\nAnswer: 2, 3, 11, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) + 1*sqrt(102))\/sqrt(6) + (sqrt(1377) + 2 - sqrt(1377))**2)*-1*-5.\nAnswer: 20 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**3 + 4*y**3 + 5*y**3 + 4*y**3.\nAnswer: 15*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4bc + -2?\nAnswer: -4c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v = -15*v - 3. Let w(k) = 6*k - 9. Is w(v) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 8:50 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7199 is divided by 5386?\nAnswer: 1813","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45651170 - -1.22.\nAnswer: -45651168.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/13, 0.1, -596, 0.4 in descending order.\nAnswer: 0.4, 0.1, -4\/13, -596","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.672 + -7.03. Let g = -0.242 + x. What is the closest to 0.1 in 22, 1\/3, g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 460*g**2 - 20 - 15 + 30.\nAnswer: 460*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 1)*(4*u - 5*u - 2*u) + (-116 + 74 - 60)*(-u + 0*u + 3*u) as q*u + j and give q.\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 304, 6, -54 in increasing order.\nAnswer: -54, -7, 6, 304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -647aa0 (base 11) in base 16?\nAnswer: -fccf3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 13 + 1, -50 = 5*i - 5*q for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111*-8.\nAnswer: 888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3760*f**3 - f**2 + 25*f - 2825. Let d(y) = -y**2 - 24*y - 1. Let a(n) = d(n) + r(n). What is the derivative of a(h) wrt h?\nAnswer: 11280*h**2 - 4*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1588 - 1558 - 183*k**4 + 46*k**4 wrt k.\nAnswer: -548*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (2660\/(-570))\/(4\/(-2286))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26541*s + 26632*s = -3913 for s.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3 = -1. Is ((-1)\/(-2))\/(m\/(-84)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -106, -410, -916, -1624?\n\"Answer: -101*y**2 - y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + c**2. Let a(y) = -6*y**3 - 7*y**2 + 10*y - 2. Let r(i) = -a(i) - 4*u(i). What is the second derivative of r(v) wrt v?\nAnswer: 12*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399127 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 423, 450, 475, 498, 519, 538?\n\"Answer: -h**2 + 30*h + 394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2 + sqrt(200))**2.\nAnswer: -40*sqrt(2) + 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 804 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 11 = -2*i - 5*j, -4*i + 3*j + 5 = 0. Calculate the common denominator of 58\/27 and (-12 - -13) + (-70)\/(-66) + i.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 + 81*i**2 + 46 - 11 + 17 in the form x*i**2 + g*i + l and give l.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69930 = 47*v + 613*v + 635*v for v.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*i**3 + 150*i**3 + 146*i**3 - 579*i**3 + 144*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 2168*j - 50389. Let v be z(23). Let 0 + 8648\/13*l**2 + 4418\/13*l + 4044\/13*l**3 + 2\/13*l**5 - 184\/13*l**v = 0. Calculate l.\nAnswer: -1, 0, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q. Let k(b) = 7*b. Let w(g) be the second derivative of g**3\/3 - 7*g**2\/2 - 2*g. Let z be w(7). Let n be (0 + (-12)\/(-14))*z. Give n*j(y) - 2*k(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 1 + 3*r - r + 18723*r**2 - 18728*r**2. Suppose -3 = -3*u - 0. Suppose 4*j = -0*f + f + u, j = -2*f - 2. Give q(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 + 58\/3. Let x = -9 - -12. Let m be x*(5 - (3 + 1)). Do m and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2144021 + 331?\nAnswer: 2144402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 60, 47, 28?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7391?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 640 and 12208.\nAnswer: 488320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = b + 23 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {n: 7, w: 5}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139923 is divided by 146.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4039630 and -0.102.\nAnswer: 412042.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -4 + 4*g**2 - 3*g**2 + 281*g - 2*g**2 - 272*g. Let k be t(5). Let n(b) = -b**3 + 17*b**2 - 15*b + 6. Let s be n(k). Round s to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 384957 rounded to the nearest 10000?\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40082 divided by 10.\nAnswer: -20041\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 + 130?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34.953 + 0.047. Let p = 38.3 - f. What is p rounded to zero dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 f, and 1 z when four letters picked without replacement from {f: 7, z: 5, v: 1, r: 1}?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 370 and 101195.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -15 - ((2 - -1) + -1). Is u != -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62712 divided by -7839.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 44*q + 3. Let r be l(3). Let n be (r\/18)\/(3\/8). Let p = n + 5. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((45\/(-4))\/(57 + 55008\/(-960)))\/((-2)\/4).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 - -49. Suppose -8*s + d*s + 20 = 0. Calculate the highest common divisor of 30 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 9:44 AM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (432\/162)\/(1 - 74\/78). Suppose 5*k + i = 18*k. Suppose 11816 = -k*y + 12*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 4*k - 1 = 34, -30 = -5*b + 3*k. Suppose b*x = 4*x - 2. Solve 4*h = 2*o - h + 18, x*o + 2*h + 4 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1479562 divided by 1479562.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-19))\/(-16)*(40\/8)\/5.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/109 + -221\/327. Suppose -983 = 806*i + 6271. What is the biggest value in v, i, -0.4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3443 + -0.5.\nAnswer: 3442.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/3 (b) 1 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 q when two letters picked without replacement from {c: 1, p: 3, q: 11}.\nAnswer: 11\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-140)\/(-1400))\/(24\/100)?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**2*z**3 - 276*b**2 + 45110*b*z - 95892*z**3 - 594*z**2 - 2*z wrt z.\nAnswer: 6*b**2*z - 575352*z - 1188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 819504596?\nAnswer: 2, 47, 317, 13751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**12\/k*k\/k**(-4) assuming k is positive.\nAnswer: k**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.234819205*-0.5.\nAnswer: 0.1174096025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 2*c**2 + 11*c - 11*c)*(3*c**2 - 2*c**2 + c**2).\nAnswer: -4*c**4 - 20*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5*g = 25, 0 = 2*p - 3*g - 0*g + 15. Let z be 4\/6*21 + p. Suppose s = -s - 4*o + z, -s + 2*o = 5. Solve 5*q - s - 24 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzzyyyizzzyzyccr. What is prob of sequence ic?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 487 a factor of 582369697?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 - 17. Let b(r) = 3*r**3 + 1336 + 2*r - 2*r**3 + 6*r - 1341 + 10*r**2. Let p be b(-9). Solve 2*s + 14 = -3*n, -p*s - m - 9 = n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + g + 7 - 3 = 0, 5*g + 20 = 0. Solve 3*a - 2*a - 4 = r for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6147 * 0.00456\nAnswer: -0.002803032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/397363 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 715188 and 715188 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 11. Suppose l = -2*m - 2*m + 12. Let r = -131 - -2487\/19. Sort -3, m, r in decreasing order.\nAnswer: m, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**4\/3 - 4104*u**3 + 37834726*u**2\/3 + 126423720*u + 948948025\/3 = 0.\nAnswer: -5, 6161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.22 + 0.24. Let i = p - 0.45982. What is i rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h**2 + 92*h - 448. List the prime factors of r(73).\nAnswer: 5, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*q + 65 = -3*b, -5*b - 54489 + 54514 = 5*q for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 79, 276, 665, 1312?\nAnswer: 2283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*v - 4. Solve 3*x - v = 2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(605) + sqrt(605)*1 + sqrt(605))*2)**2.\nAnswer: -264*sqrt(5) + 21784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 3*h + 14. Let x be m(7). Let z = x + 16. Let g be (22 - 22)\/((z + 0)*1). Solve g = 5*c - 3*d + 16, 5*c + 2 = 4*d - 16 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22835*c**3*d**3 - 3*c**3*d**2 + 2*c**3 - 12*c**2*d**2 + c*d**3 - 8*c wrt d.\nAnswer: -137010*c**3 + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 322 a factor of 671297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68, 124, 166, 188, 184, 148, 74?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -237155.81885 + 236480.01. Let q = h + 695.80884936. Let b = -20 + q. Round b to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3*y - 572 - 224 = 0, 2*c - 316 = -2*y. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 178 = 85*b - 83*b, -3*i + 3*b = -168. Solve 50*c = i*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-21))\/(545\/36624) - -34?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3578*l = 3525*l - 1056*l - 608*l + 250194 for l.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21398 + 21402. Solve 0 = -q - v*j + 19, 3*q + 4*j + 12 - 37 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3593 is divided by 430.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 69 = 5*n. Let m = 69 + n. Let d(h) = -h**2 + h - 14. Give d(m).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, b: 2}. Give prob of picking 2 e and 1 b.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 30113?\nAnswer: -30123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62469 + 62134 = 21*w + 44908. What are the prime factors of w?\nAnswer: 3, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence anm when three letters picked without replacement from nbnrnnnma.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1152 and 0.1839.\nAnswer: -211.8528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/12*(-576)\/24?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 364, 5, 10, 31 in increasing order.\nAnswer: 5, 10, 31, 364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-20)\/36)\/(-5)*(-8 - -14). Let x(b) be the first derivative of 0*b**2 + 0*b - n*b**3 - 6. Let v(f) = -16*f. Give x(v(k)).\nAnswer: -512*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 41861 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.508, -0.4, -0.5, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.16 and -0.009.\nAnswer: -0.00144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*b = -42*b - 16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13425 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 15. Suppose 0 = -v + 5*a + 10, -4*a - g = v. Let k be 8\/(-60) - (-64)\/180. What is the closest to v in 3\/4, k, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from bbidkdr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1352 and 125015384?\nAnswer: 1352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -269 + 284. Which is smaller: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from exzikxy. Give prob of picking 2 k and 2 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1731427.\nAnswer: 131, 13217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 520 = -3*l, 2*a - 708 = l + 3*l. What is the remainder when 15 is divided by (-1)\/3 - l\/33?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.2 + 0.2. Let v = -2 - -3. What is the nearest to d in 1\/7, v, 3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 1 = -2*m. Let o be 15\/6*(m + 0). Suppose -2*u + 5*r = -24, -2*r = o*u - 3*r - 14. Solve -4*s + u*c + 4 = 0, -4*s + 5*s = 4*c - 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 (base 15) in base 9?\nAnswer: 1803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6470, -6452, -6440, -6434, -6434, -6440, -6452?\n\"Answer: -3*a**2 + 27*a - 6494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.052 + 0.148. What is the closest to 2\/9 in -2, -4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.11 - 0.17. Let j = y - 0.24. Let t = 0.2 + j. What is the nearest to t in 2, -3, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (13 - (9 + -18))*-2*3\/(-12). What is the highest common divisor of a and 40007?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/62*1\/(-6). Let d = 2011\/93 - w. Calculate the common denominator of (-1)\/((-90)\/(-490)) - 2\/(-6) and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 3*p**2 + 2*p - 3. Let y be n(3). Let k(d) = 2*d**2 - 4*d - 1. Calculate k(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*i + 0*i + 26 - 26.\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -3. Let n = 3 - 2.9. Sort m, -3, n.\nAnswer: -3, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*n + 4*r, n - 14 = 3*r - 2. Suppose -14 = -3*j - v, 0*v - n*v = 2*j - 21. Suppose -3*d + 3*w + 71 = 2*d, 0 = j*d - 4*w - 36. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/11*x**3 - 8\/11*x**2 + 2\/11*x**4 + 6\/11 - 4\/11*x = 0. Calculate x.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1719147958 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 559 - 564 = -p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 16116133 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11646?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y\/((y*y*y\/y**(-10))\/y))\/y*y)*y*y**(5\/3))**(-1\/5)*((y**(-5)*y)\/(((y**(3\/5)\/y)\/y*y)\/y))**(-11\/2) assuming y is positive.\nAnswer: y**(341\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 65.919 - 66. Let s = -0.1 - t. Round s to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 9) + (25 - 23).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - w = -2*w - 1, -3*w = 0. Let d = -894\/535 - -7\/1605. What is the closest to -1 in o, 0.4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 281*d - 277*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c - 3099 = -5*c - 3147 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - -13. Suppose -3*m = -5*x + 49, 3*x + 3*m - 39 = -0*m. What is the remainder when f is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - ((-6804)\/231 - -16)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002441489 rounded to 7 dps?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jct when three letters picked without replacement from gtgjtctjgtjgjc.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 3*z + 0*z)*(0*z - 4*z + 2*z)*(-3 + 2*z + 3).\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -19 + 0 + -2 + -4 + 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**29)**(-15)*c**31\/(c\/((((c\/(c*c**(-3\/16)))\/c)\/c)\/c*c)) assuming c is positive.\nAnswer: c**(-6509\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2323?\nAnswer: 23, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 226, -3, 80?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 252 + -111?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(7) + (sqrt(84) + sqrt(84)*2 + sqrt(84) + sqrt(84))\/sqrt(12) + sqrt(56)\/(3*sqrt(8))))**2.\nAnswer: 10108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-13)*((-9)\/6)\/(7\/8).\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 291\/200 + -2\/25. Which is the smallest value? (a) -3 (b) -5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.26 (b) 1 (c) 3 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-3) - (-1 - -1)\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -n**3 - 2847*n**2 - 2701803*n - 854670349 = 0.\nAnswer: -949","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*k**2 - 303939*k + 121578.\nAnswer: -3*(k + 20263)*(5*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8\/25 of a milligram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001891 rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -24743 (b) -0.3 (c) 2.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001547 to 5 decimal places.\nAnswer: -0.00155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(7 + -3 + -2). Suppose -144 = n + 2*n. Find the common denominator of 508\/n - (f + -1) and 23\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17523*h**3*w**2 - 3*h**3 + 11*h + 117050*w**2 + 29*w wrt h?\nAnswer: -52569*h**2*w**2 - 9*h**2 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2260 + -1285. Is 75 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**3 - 4*d**2 - 2. Let q be v(3). Suppose -u + q = u. Does 8 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(480)\/sqrt(3) + sqrt(10) + sqrt(30)\/(-1*sqrt(3)) + sqrt(10))\/(sqrt(1458) + 3*sqrt(1458) + sqrt(18)).\nAnswer: 5*sqrt(5)\/111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.2, -0.526, -3, -17.9, 19?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 5*x + 19 + 19 = 3*l, 6*x = 8*x for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, -26\/31, -2\/11, -3246.8 in decreasing order.\nAnswer: -2\/11, -26\/31, -4\/3, -3246.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 4*b**3\/3 + 2924*b**2 + 8768*b\/3 = 0.\nAnswer: -2192, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1883?\nAnswer: 7, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0, -1\/3, 9, 1, 3\/1739, 1\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -48857.73781 rounded to the nearest one thousand?\nAnswer: -49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -8 - 6\/18*24?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -79, -81, -83, -85, -87?\n\"Answer: -2*k - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 24395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 4:17 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -4*g**2 - 3*g + 32. Calculate h(4).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 - -23. Suppose 6 = -2*u - 2*a, u - 3 = 4*a - 2*a. Let v = l - u. Solve g + 2 = -v for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4284.98 to the nearest ten.\nAnswer: 4280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/2, 13233, 2 in increasing order.\nAnswer: -5\/2, 2, 13233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -618 + 2064. List the prime factors of o.\nAnswer: 2, 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*v**4 + 2 + (-2*v**2 + 2*v**2 + 2*v**3)*(0*v - 3*v + v) + 2 - 2*v**2 + 302*v - 2*v**4 - 302*v.\nAnswer: -4*v**4 - 2*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2636818478?\nAnswer: 2, 7, 659, 40829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 5*b - 6. Give j(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.558 plus -0.26?\nAnswer: 0.298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6184576373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209244945?\nAnswer: 3, 5, 7, 13, 61, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 + 3*m - 1. Let t = 13 + -8. Suppose 2*v + 35 = t*f - 3*v, 5*f + 5*v = -15. What are the prime factors of d(f)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 10:27 AM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of 1\/24*y**4 + 20*y + 0*y**2 + 0 - 1\/24*y**7 + 0*y**3 - 11\/80*y**5 + 2\/15*y**6. Suppose w(m) = 0. What is m?\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -97 + 261. Let w = g - 164.000073. What is w rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c + 24 - 113 + 36 - 135.\nAnswer: -4*c - 188","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18883, 18905, 18927?\nAnswer: 18949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.02 + 2.08. Let x = -1.9 - f. Let r = -18 + 17. What is the third smallest value in -1\/8, x, r?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18141?\nAnswer: 3, 6047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19964 and 1736.\nAnswer: 39928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/13788856 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -454, -978, -1412, -1756?\n\"Answer: 45*o**2 - 659*o + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -16. Let p(s) = 7*s + 4 + y*s - 6*s. Let g(m) = 30*m - 5. Let d(b) = -11*b + 2. Let n(x) = -8*d(x) - 3*g(x). What is -26*n(q) - 6*p(q)?\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-18)*o*o**(-1\/4) assuming o is positive.\nAnswer: o**(-69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 9) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 28*8\/(-32)*(-6)\/14. Let t(q) be the second derivative of -2*q**2 + 1\/12*q**4 + 0 - 16*q + 2\/3*q**f. Calculate t(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -8.639907472 rounded to 3 dps?\nAnswer: -8.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -15, 19, 69, 141, 241?\n\"Answer: k**3 + 2*k**2 + 21*k - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -27*w - 7. Calculate the remainder when o(-5) is divided by -5 + 3 + 6 + 11 + -2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1635*k = -1850*k + 1554235. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*y - 25*t + 38 = -42*y - 26*t + 114, -4*y = -2*t for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -23 * -0.08\nAnswer: 1.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138287 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, -0.2, -1\/11, 0.1, -5, -47?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-75)\/(-125))\/(1\/(-15)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13363\/110 or 0.232?\nAnswer: -13363\/110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-231200)\/(-30) - -3) + -4*(-1)\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 36 = -3*q, -2*q + 36 = 2*w - 4. What is the remainder when 404 is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 344582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -5282?\nAnswer: -5278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 23905580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13684968 by 41096.\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of s**5\/20 + s**4\/4 - s**3\/2 + 2*s**2 + 40*s. Determine z(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/23595 and 4\/55.\nAnswer: 23595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y - 4*y**3 + 90*y - 6*y - 65*y + 8*y**3 - 16*y.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0481445 less than 699?\nAnswer: 699.0481445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(11) + 4 + -3*sqrt(1584).\nAnswer: -35*sqrt(11) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/4 + 2\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.14 - 0.21. Let d = k + 1.07. What is the third smallest value in -3\/4, 5, d?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -401*l + 76864 = 44383 for l.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 8*f**2 - 6*f - 8. Calculate the smallest common multiple of 6 and q(6).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*y + 3*y - 5*y)*(-5*y + 5*y + 2*y**2)*(-2*y - 8 + 0*y + 9) - 3*y**4 - 3*y**4 + y**4 to the form n*y**4 + g*y + k*y**2 + m + o*y**3 and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q**3 - q + 1. Let p be o(1). Let l(s) be the first derivative of -s**3\/3 + 3*s**2\/2 - 3*s + 2. Let d(j) = j**2 - 2*j + 2. What is p*l(m) + 6*d(m)?\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 180\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2749550082\/1007 + -2730436. Let l = -4\/53 + x. Which is bigger: l or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**4*c*c*c**11 assuming c is positive.\nAnswer: c**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -196.99 and -0.2.\nAnswer: -197.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - f + 2. Let x be u(3). Let l be (-3 + 0 - x) + -3. Let h(q) = 3*q - 4. Is 8 a factor of h(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1848)\/(-55))\/(6\/1155). Let s = -2434 + b. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**3 + 2*b**4 + 4*b**4 - 2*b**3 + 5*b**3 - 2*b as q*b + x*b**3 + a + i*b**2 + t*b**4 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 5:34 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 44*w - 19.\nAnswer: -44*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*q - 140 = -107*q for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-21)\/(-14))\/((-6)\/16). Let d be (m\/8)\/((-1)\/4). Suppose -8 = 4*j - d*j. Is j greater than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + (-1 + -1 - -3). Let a(z) = 0*z**3 + 14*z**2 + 6*z**3 - 2 - 4*z**3 + l*z - 17*z**2. What are the prime factors of a(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*t + 13*t - 37*t)*(0 - 1 + 0)*(-16*t - 64*t + 5*t).\nAnswer: -825*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 126, 252, 378, 504?\n\"Answer: 126*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*i + 45*i - 109*i.\nAnswer: -11*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 296472149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7311383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 121\/22 + (-1)\/2. Solve 4*f - 14 = -i*j, -3*f - j + 5 = -0*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000009402 rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -203\/2 at least 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2 = -5*o - 23, 5*p - 3*o - 34 = 0. Solve y - p + 6 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yu when two letters picked without replacement from {y: 3, u: 9}?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 0. Let o be (y\/(-5))\/((-4)\/(-20)). Let f(v) = -v - 6. Let c be f(o). Are -2 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eejj when four letters picked without replacement from tejeejmeeet?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -c**6\/120 - c**5\/5 - 23*c**4\/8 - 44*c**2. What is the tens digit of t(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5*f + 4*b - 28 = 0, 4*f - 40 = -4*b. Suppose 0 = -34*w + 36*w + 4. Sort -0.3, w, f.\nAnswer: w, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -226\/3227 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/(-88)*48\/(-60). Which is the closest to 0.1? (a) h (b) 18 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9499.481nm to kilometers.\nAnswer: 0.000000009499481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -38*p**2 + 108568*p + 13450252.\nAnswer: -76*p + 108568","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: 1090 divided by -10\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 5303, 3, -3, -2\/9 in ascending order.\nAnswer: -3, -0.5, -2\/9, 3, 5303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217831.\nAnswer: 61, 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6*((-6)\/(-4))\/3. Suppose -2*p - 16 - 12 = -t, -2*p = -i*t + 92. Does 16 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 69 = -70*n - 111. Let v(p) be the third derivative of p**4\/8 + 2*p**3\/3 + p**2. Determine v(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1253 + -0.1253. Which is the nearest to w? (a) 0.5 (b) 12 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8866863 and 2565.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k - 4*a - 59, -62*k - 5*a = -63*k + 83 - 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 262.\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -136*h**3 - h**2 + 9*h + 6. Let v be n(-4). Suppose v - 42133 = -25*w. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29442*c = -28820*c + 13062 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.236 - -0.236. Let s = -4 - -4.4. Let y = 5.3 - 5. What is the closest to 1 in q, y, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -7*k + 19*k. Find r such that 9\/5*r**4 - 6\/5*r**3 - 4\/5*r**k + 1\/5*r**2 + 0 + 0*r = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 + (21 + 2 - (-118 - -169))?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 9.89 (c) 36.2735\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 18*m**2 + 40*m - 77. Let l be i(2). Calculate the greatest common divisor of l and 255.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (86*u + 696 - 696)*(-3 + 3 - 1)*(-1 + 4 - 1) as h*u + z and give h.\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1001*a + 1020*a - 285. Solve -k + 5*y - a = 0, 3*y - 9 = 3*k + 12 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b926 (base 12) in base 10?\nAnswer: -20334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 208\/29 or 8?\nAnswer: 208\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 3*t + 5*q, -t + 13*q - 57 + 85 = 0 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20595 + -20595.4. Put -1120, 2, 0.4, p in ascending order.\nAnswer: -1120, p, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrz when three letters picked without replacement from {g: 1, m: 3, f: 2, z: 2, r: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -133583685379 and 5.\nAnswer: -133583685374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 2*g**2 - 7*g + 8. What is w(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -2209727.41 and -124428.\nAnswer: -2334155.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + y. Let g be 14\/28 - 15\/6. Let z(s) = 3*s**2 + 3. Give g*f(x) + z(x).\nAnswer: x**2 - 2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026579427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.28 - 0.28. What is the biggest value in -2\/3, 1, -3\/5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 6*o**2 + 32*o + 33. Give b(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/45)\/c)**(-19)\/(c*c**(-13))**(5\/2) assuming c is positive.\nAnswer: c**(2243\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 22*j - 24*j. Factor 60*n**j - 10*n + 452*n**4 - 417*n**4 + 2*n**2 + 13*n**2.\nAnswer: 5*n*(n + 1)**2*(7*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - g + 5*s = -555, -3*g = -3*s - 414. Suppose -3*m - u = -131, u + g + 70 = 5*m. What is the smallest common multiple of 84 and m?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2451 and 1118?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5152*g + 173 - 64 - 55 - 54.\nAnswer: -5152*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -w**6\/30 + w**5\/15 + 6*w**2. Factor b(d).\nAnswer: -4*d**2*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 489658*j**4 - 169*j**2 - 2*j + 439 wrt j?\nAnswer: 11751792*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 1\/60*f**5 + 0*f**2 + 0*f - f**3 + 1\/12*f**4 - 1. Let b(x) be the third derivative of v(x). Determine b(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**2 + 9*l - 77. Let s(q) = 2*q**3 - 48*q**2 - q + 29. Let i be s(24). Is r(i) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**4 + 1\/3*a**5 + 16 - 80\/3*a + 8*a**2 + 16\/3*a**3 = 0.\nAnswer: -2, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10510\/9 + 1168. Let z be 8\/18 + (-2)\/3. What is the fourth smallest value in 3, z, 4, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/10 - 16\/10. What is the units digit of 13 + 3 + v + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 605 = 5*g, d - 2*g - 448 = -2*d. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 84382400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 2*q**3\/3 - 5*q**2\/2 - 15*q + 9. What is the units digit of z(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -699\nAnswer: 3\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 1 = 3. Solve 2*u = -q*u - 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12061450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence orvv when four letters picked without replacement from {o: 1, f: 1, c: 5, w: 3, v: 3, r: 1}.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28674?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 344.22 (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30615327 and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13460 rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 - 49. Let t = -6.7 - g. What is the third smallest value in 1\/12, -4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -66, 411, 1730, 4317, 8598, 14999, 23946, 35865?\n\"Answer: 71*t**3 - 5*t**2 - 5*t - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1032430, 1032424, 1032416, 1032406, 1032394, 1032380?\nAnswer: 1032364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 465 - 453. Suppose -3*u = 4*m - d, 4*u = 9*u - 20. Factor 0*p + m + 2\/15*p**3 + 8\/15*p**2.\nAnswer: 2*p**2*(p + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -c**4\/4 + 2*c**2 - 5*c - 3. Let h be r(3). Let o = h + 34. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.019663 and 174?\nAnswer: 174.019663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16086*w**3 - 16412*w**3 + 32515*w**3.\nAnswer: 17*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(2\/37)*t**(4\/9)*t\/t**(-1\/6)*t**(-1\/7) assuming t is positive.\nAnswer: t**(11255\/4662)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5387 - -5387.09. What is the closest to 0 in -1\/3, f, 2, -1\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005945 rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 600 and -0.6.\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.70633 decades in months?\nAnswer: 2484.7596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 23, -0.1, 0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 522 + -642. Let a = h - -116. Let k(b) = b**2 + 3*b - 2. Determine k(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4417*j - 1499*j - 1507*j - 1465*j - 1. Let a(u) be the second derivative of -u**3\/6 + u. Determine a(d(z)).\nAnswer: 54*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1017492\/252 - (-4)\/12. Which is smaller: 4037 or f?\nAnswer: 4037","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-4))\/((-1)\/(-12)). What is the third biggest value in q, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5607, 11207, 16799, 22383?\n\"Answer: -4*k**2 + 5612*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 1787*h**3 - 28*h**2 + 7*h - 4. Let i(p) = -1786*p**3 + 25*p**2 - 7*p + 5. Let c(b) = -5*f(b) - 4*i(b). What is the third derivative of c(m) wrt m?\nAnswer: -10746","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*l**2 - 308 + 308 to the form q + x*l + z*l**2 and give z.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -63168\/29 or -2179?\nAnswer: -2179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 6*k - 6. Let s(d) = 2*d**2 + 13*d - 11. Let c(n) = 3*s(n) - 5*v(n). Let y be c(-9). Let f be (78 - -1) + (-5 - y). Round f to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89096 a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1397 + -1397.4. What is the second biggest value in 1, -5, s, -146?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193168449.\nAnswer: 3, 29, 47, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 529950 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 649080 divided by -162270?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 177 - 98. Let x = 51 - y. Is -0.1 >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-98)*168\/(-48)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 647*a - 30 - 32 + 1061*a - 1710*a.\nAnswer: -2*a - 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*m = -39*m + 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 469*b**3 - b**2 + 2*b. Let z be u(1). Suppose -10 = -2*f - 0*f, 4*v = 2*f - z. Let d = v + 123. Solve d*x = 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 575 and 95657?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5*j + 6 + 7 = 0, n - 53 = 5*j. Suppose 176*g + 992 = 112. Put 1, n, g in increasing order.\nAnswer: g, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -10*m + 237. Suppose 5*w = -558 + 188. Let h = w + m. Solve 2*f + 1 = 3*f, -h*f + 10 = -5*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, n: 1, j: 2, b: 2, p: 12}. Give prob of sequence pinp.\nAnswer: 11\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 219 divided by 73?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3*w = -43, -2*w - 35 = -4*x + 3*w. Factor -7*c**4 - 14*c**3 - c**5 - x*c**3 - 5*c**4 - c**5 - 16*c**2.\nAnswer: -2*c**2*(c + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n - n - 3*n)*(36*n**4 - 49*n**4 + 24*n**4).\nAnswer: 11*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32223 + -1123002?\nAnswer: -1030113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, 8, 11, -2, 1, 21 in ascending order.\nAnswer: -50, -2, 1, 8, 11, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.9 or 26501479?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 6*i**2 - 11*i. Calculate the least common multiple of n(-2) and 56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12.1 + 0.9. Let r = -8 + y. Let l = -9.099 - -9.069. Which is the closest to -1\/4? (a) l (b) r (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2077*h + 3 + 6272*h - 2028*h - 2022*h - 3.\nAnswer: 145*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -4.9 (b) -3 (c) -1\/2 (d) -33\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) -0.06 (c) 0.4 (d) -1 (e) 12\/31 (f) 2\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -29545.7\nAnswer: -59091.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 3*v - 3, -3*v + 0*l = -5*l. Let k(s) be the first derivative of -1\/2*s**2 + 1 - 4\/3*s**3 - 3*s. Let x(q) = 7*q**2 + 2*q + 5. Give v*k(h) + 3*x(h).\nAnswer: h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1097 - -1095. Suppose -41 + 43 = f. Put k, 0, f, -5 in increasing order.\nAnswer: -5, k, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6828, 27312, 61450, 109242, 170688, 245788?\nAnswer: 334542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 2*f**2 - 235*f + 30. Calculate the smallest common multiple of (-3)\/12 - 481\/(-4) and t(0).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 5 = -w - 5, 0 = 5*m + 3*w + 22. Let h(p) be the first derivative of -p**4\/4 + 2*p**3\/3 + 3*p**2\/2 + p + 1. List the prime factors of h(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -7. Let l = 1 - h. What is the third smallest value in -2\/9, -1\/5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 620044 a multiple of 331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(8) - (sqrt(200) - (sqrt(200) + 1*sqrt(200) - sqrt(200)))))\/(sqrt(256) + -2*sqrt(256) - sqrt(256) - (sqrt(484) - -2*sqrt(484))).\nAnswer: 2*sqrt(2)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20446 + -4?\nAnswer: -20452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 42659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -856*p + 1162*p - 1051*p.\nAnswer: -745*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 57*n**2 + 655182*n**3 - 655188*n**3 - 5 in the form q + a*n**2 + h*n + m*n**3 and give a.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -513412 (base 7) to base 10.\nAnswer: -87670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 28415530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/5)\/(18\/(-30)). Which is bigger: y or -0.8?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/4 - 55\/10. Let d = -6 + 8. Suppose 3*a + y = -0*y - 10, 2*a + d*y + 4 = 0. Sort a, -2, k.\nAnswer: k, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2460*(-23 + 27)\/(1\/1). Suppose w = 3*a + 5*v - 8*v, 3*a + 2*v - 9825 = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 233882, 233881, 233880, 233879?\n\"Answer: -n + 233883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7462680 by -60.\nAnswer: -124378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 9920 + 6 + -13. Round m to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1598*n - 5*y = -1595*n - 78, -4*n - y - 13 + 117 = 0 for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, -4, 0, -9, 3\/17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jwp when three letters picked without replacement from wpjwj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 x when two letters picked without replacement from {x: 4, e: 10}?\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -22404, -22390, -22386, -22392, -22408, -22434?\n\"Answer: -5*f**2 + 29*f - 22428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-60)\/(-8)*(-1)\/(3\/(-286))?\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 13\/(-24) + 14\/21. Which is the second smallest value? (a) r (b) 0 (c) 0.4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/77)\/(12\/7)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 28. Let r = -23 - c. Let h = -5 - r. What is the smallest value in h, -2, -1\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*s = -543*s - 2088*s - 399*s + 87916 for s.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tdyidht. What is prob of picking 1 h, 1 y, and 1 d?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1498625, 2997249, 4495873, 5994497, 7493121, 8991745?\nAnswer: 10490369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 28, 58, 98, 148, 208?\nAnswer: 278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 950 + 133 = 19*n. Is n a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2. Let c(u) = -2*u + 112. Determine q(c(b)).\nAnswer: 8*b**2 - 896*b + 25088","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/5 (b) 6741 (c) -1 (d) 5\/2 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a - 3241*a**2 - 5050*a**2 + 3*a.\nAnswer: -8291*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u - 4*z + 21 - 5, 3*u - 4 = -5*z for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 o when four letters picked without replacement from {g: 2, a: 4, o: 5, z: 1, l: 4}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 334266 to the nearest integer?\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**3\/2 - 9*r**2 - 41*r\/2 + 30 = 0. What is r?\nAnswer: -15, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 3*j - o = -134, 3*j - 6*o = 141. What is the highest common factor of j and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -500300 rounded to the nearest 10000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55994, 55996, 55998, 56000, 56002?\nAnswer: 56004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**1)**(4\/17) assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 597792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -204252 - 1250?\nAnswer: -205542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13759 - -687919\/50. What is the common denominator of x and 83\/22?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3 = -i, 7*i + 9 = -5*f + 4*i. Find the second derivative of p + 5*p**2 + f*p**2 - 6*p - p**2 wrt p.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11)\/(-6) - ((-58)\/(-12) + -5). Let o(x) = x**2 + 5*x - 12. Let v be o(z). Solve 0 = -v*j + 4*j + 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -4*a**2 - 8*a - 34. Let j(s) = -5*s**2 - 10*s - 33. Determine 2*j(t) - 3*q(t).\nAnswer: 2*t**2 + 4*t + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5159 - 3*r + 0*r - 38 + 5*r - r.\nAnswer: r - 5197","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 + 1 + (-114 - -121)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1995 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*n - 65*n = 24. Suppose -n*j + 464 = -1080. What are the prime factors of j?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -130 divided by -8228630\nAnswer: 13\/822863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -22*n**2 - 45*n**3 + 46*n**3 - 2*n + 20*n**2. Let x(f) = -2*f**3 + 3*f**2 + 3*f. Let k = 3 - 6. Give k*h(r) - 2*x(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2105, -8729, -38145, -95437, -189899, -330825, -527509?\n\"Answer: -1549*z**3 + 3*z**2 + 3651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3223 = -2*f + 3229 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 4*j - 2 = 0, -4*v - 19*j = 2995 - 2965 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1388159 a multiple of 232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 5*o**3\/3 - 2. Let y(c) be the third derivative of -c**5\/20 - 7*c**2 + 2*c. Determine y(r(x)).\nAnswer: -75*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - 2)*15 + 1. Let i = -57 - p. Suppose -i = 4*m - 6*m. What is the remainder when m is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a micrometer in nanometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gf when two letters picked without replacement from {f: 1, g: 1, s: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-1\/10)*j*j*j**(2\/3))**(-10))**50)**(-38) assuming j is positive.\nAnswer: j**(146300\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1547552700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 754409 to the power of 1\/2, to the nearest integer?\nAnswer: 869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 0 + 3\/2*l**2 - 3*l = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -4*d**4\/7 + 12*d**3\/7 + 912*d**2\/7 - 4528*d\/7 + 768 = 0.\nAnswer: -16, 2, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 157 and 6437?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1915234667 a multiple of 181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*f**2 - 86*f - 23*f**2 + 42*f + 44*f - 36*f**2.\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156132333.\nAnswer: 3, 7, 826097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-3 - (4 + 8) - -7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 3:42 AM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -13*r**7\/70 + r**5\/60 + 95*r**4\/24 + 37*r**2. What is the second derivative of g(u) wrt u?\nAnswer: -468*u**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (107 - 73) + -10 - (15 - 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 2. Let b(t) = -4*t + t - d*t**2 - 5 + 3*t. Let j(h) = -5*h**2 - 8. Give -8*b(m) + 5*j(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 2) to base 13\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 93, -10533, 2, -2, 0 in ascending order.\nAnswer: -10533, -2, 0, 2, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3923435.95 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 373 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 94, 147, 234, 355, 510, 699?\n\"Answer: 17*o**2 + 2*o + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/20 of a day?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2099548 a multiple of 271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 300362 (base 7) to base 5.\nAnswer: 3104422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-9) - (-2)\/(-9). Is 1 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 68*v - 11. Is l(4) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) -2\/9 (c) 8 (d) -142150\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -b**5\/5 + 8*b**4\/3 - 14*b**3 + 36*b**2 - 2*b. Factor g(p).\nAnswer: -4*(p - 3)**2*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 554.343006 * -4\nAnswer: -2217.372024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6678531 nanograms to tonnes.\nAnswer: 0.0000000000000006678531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35261 divided by 5?\nAnswer: 35261\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 883716*h**3 + 4*h**2 - 65600*h wrt h?\nAnswer: 5302296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5073 - -5074. Let g be -1 - 0 - (-9)\/11. Which is the nearest to 0? (a) j (b) g (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-2)*(-8)\/(-78). Let l = 113 + -111.78. Let q = 0.22 - l. Put n, q, -3 in descending order.\nAnswer: n, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 4*p + 24644, -722*m - 30814 = -727*m - 4*p. Is 5 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 3. Suppose -g - 10 = -h*g. Let o(k) = -8*k**3 + 8*k**2 + 9. Let p(s) = -s**3 + s**2 + 1. Give g*o(x) - 18*p(x).\nAnswer: 2*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - t**2. Let x = -11645 + 11644. Let v(z) = 2*z - 2*z**3 - 3*z + 3 + 5*z**3 + 4*z**2. What is x*v(j) - 4*a(j)?\nAnswer: j**3 + j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 13*k**2 + 82*k + 148. List the prime factors of z(-9).\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1507*s**3 - 2114*s**3 - 196*s**3 + 727*s**3.\nAnswer: -3090*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 12) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6589?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.26*-1.5\nAnswer: -0.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q + 2*r - 12, 184*q - r + 9 = 180*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + m**2 - 2*m. What are the prime factors of k(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 659 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h**2 + 25*h - 3. Let b be l(6). Suppose 2*o + 7*i - 5*i = 4308, 0 = 4*o - b*i - 8609. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.4 (b) 1\/4 (c) -47 (d) -0.2 (e) -0.4 (f) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 53*x**2 + 30*x + 152. Give t(52).\nAnswer: -992","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 226 = 7*v - 3*v, v + 5*p = 52. Suppose -37 = -0*y - y + 5*j, -y = 5*j - v. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*d**3 - 1)*(1 - d**2 + 2*d - 1 + 3).\nAnswer: -2*d**5 + 4*d**4 + 6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.485696 rounded to one decimal place?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50*((-13)\/(-3) - (-15436)\/(-3405)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, 2105, 0.35, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of d**3\/3 + 11*d**2\/2 + 10*d - 57. Calculate f(-11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -292, 5, 3, -333, -1.\nAnswer: -333, -292, -2, -1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w + 3*s + 20, -548*w + 544*w + 16 = -s for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*b*b\/(b*b*b*b\/(b*b**(1\/8)*b)))\/(b**(-1\/5)*b))\/(b\/(b\/(b\/(b\/((b*(b\/(b\/(b*b**(1\/3)\/b*b*b)))\/b)\/b)*b)))*b)**(1\/10))**(-8\/13) assuming b is positive.\nAnswer: b**(-11\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.5 - -10. Which is the closest to 2\/3? (a) -1 (b) 0 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 33*u**2 - 15*u + 27. Let c(y) = -8*y**2 + 4*y - 7. Let b(r) = 15*c(r) + 4*f(r). Find the first derivative of b(n) wrt n.\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a microgram in nanograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(470*k + 25*k + 235*k).\nAnswer: -730*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.042036 (b) 0.44 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 53 + 83 = 0. Let a = 72 + t. Solve 4*o - a = -8 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13640)\/9548*14\/(-65) - ((-2250)\/39 - 4).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1099936889?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-125)\/20*(-104)\/(-130).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -10. Suppose 5*h + j*t - 386 = 0, 3*t - 4*t + 233 = 3*h. Suppose 2*r - h = -3*u, 0 = 5*u - 4*r + 5*r - 137. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -44 + 22 + 24 + 6*o in the form s*o + d and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 4890*q**2 - 18 - 4894*q**2 + 51.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25774839.09936 + -25768028. Let g = 6800.1 - l. Let w = g - -11. Round w to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 629133887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 20987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - (3 + (-4 - -2))) + 440 + -548\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6.147926 minutes?\nAnswer: 368875560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 13. Suppose 8*n - 36 = 4*n. Solve -h*d = -25 + n for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2129, -6809, -14449, -25049, -38609, -55129, -74609?\n\"Answer: -1480*y**2 - 240*y - 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u + 11. Let j(n) = 5*n + 16. Calculate -5*j(a) + 8*y(a).\nAnswer: -a + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 1 = -3*n - 1, -5*q = 5. What is the tens digit of ((-8)\/3)\/(n\/141) + -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 2 + 4. Let l be 56\/12 + b\/3. What is the first derivative of 2 - 1 - n**4 + 0*n**l wrt n?\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/616 and 17\/100722776?\nAnswer: 100722776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -6*b + 7. Let j(o) = -o - o + 2*o + 2*o. Calculate x(j(s)).\nAnswer: -12*s + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2\/11563, -3, 3\/2, 5, -0.2 in ascending order.\nAnswer: -3, -0.2, -2\/11563, 3\/2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*l - 230 = 130. Let j(i) = -i**3 + 11*i**2 - 25*i + 79. Let c be j(l). Suppose 5*f = -5*o + 10, 0 = -5*o + 2*o + 6. Solve q + 3*q - c = f for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0058 - -213.9942. Let a = k + -396. Let z = -182.000141 - a. What is z rounded to 5 decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (7 - 4 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1089, 881, 673, 465, 257, 49?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 9:18 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7873.\nAnswer: 7873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 20960 (b) 1\/7 (c) -4 (d) 110\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5151939.\nAnswer: 3, 13, 59, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 - 25. Suppose -5*t + x = -3*x - 41, -5*x = -4*t + 40. Let n = -19\/8 + 73\/24. Which is the closest to 0? (a) i (b) n (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -218, 2\/15, -316\/3, -0.5, 0.21?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11254331 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -3*x**5\/4 - 37*x**4\/4 - 51*x**3\/2 - 57*x**2\/2 - 55*x\/4 - 9\/4 = 0.\nAnswer: -9, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 60063 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 10:06 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15\/19223 + 77027\/173007. Factor -2\/9*m**3 - n*m**2 + 0 - 2\/9*m.\nAnswer: -2*m*(m + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12 - 34\/5*s + 4\/5*s**2.\nAnswer: 2*(s - 6)*(2*s - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6103.7 - -6103. Is 572 > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**3 - 2*u + 2*u**3 - 6*u + 5*u = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 8. Suppose -5*q = -10 - g. Suppose 7*u = 2*u + 4*f + 5, -u + 5*f + 1 = 0. Calculate the greatest common factor of u and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1637, 3268, 4899?\n\"Answer: 1631*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-28)\/7)\/(6 + 1 + 33 + -38). Sort -0.023, k, 2\/17 in ascending order.\nAnswer: k, -0.023, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -300634.87 + -654.13. Let v = w - -301292.500084. Let u = 3.5 - v. What is u rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0*y + 4 = 0. Suppose -y*r = -7*r + 15. Let b(p) = 4*p**2 - 3*p**3 - p**2 + r*p**3 - 2. Determine b(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333862.\nAnswer: 2, 166931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.09 + -0.28. Let w = x - 0.03. Which is the closest to 0.1? (a) w (b) -0.5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 3) + (15 - 16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.02, 217, 2\/37.\nAnswer: -1, -0.02, 2\/37, 217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2529882 to the power of 1\/2, to the nearest integer?\nAnswer: 1591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 13, 2, 14, -4, 23\/3, -5?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 16*g**2 + 3*g - 40. Let r be h(16). Solve -r + 23 = -5*c, -4*s = 3*c + 25 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 5*n + 19 - 8, 2*n - 113*u = -112*u - 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 8*u**2 - 7*u. Let j be v(-6). Let q = -29 - j. Let k = 2 - 3. Which is greater: k or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 6*p**3 + 12*p**2 - 7. Let g(t) = -5*t**3 - 11*t**2 + 6. What is -7*g(q) - 6*r(q)?\nAnswer: -q**3 + 5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1890)\/(-315))\/(3\/(27\/2)))\/(-2)?\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 5:42 AM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 14*h + 3. Let b be q(14). What is the third derivative of -5*k**b - 8*k**2 + 0*k**3 - 2*k**3 + 17*k**2 wrt k?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -535 + 778. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*d = -1486*b + 1483*b + 176, 3*b = -3*d + 18 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -55. Let x = v - 59. Which is the smallest value? (a) x (b) 3 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.03, -5, -243?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 161919 and 4185906.\nAnswer: 113019462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(605) + (5*sqrt(605)*-2)**2 + sqrt(605) + 5*sqrt(605)*2).\nAnswer: 396*sqrt(5) + 181500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-4))\/(7\/8 - (-7)\/(0 - 7))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - -1) + (-13 - -14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d - 141 - d**2 + 139 + 3*d - 8*d in the form m + b*d**2 + j*d and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -13*c - 26. Let n(b) = -20*b - 41. Let l(y) = -8*a(y) + 5*n(y). Let j(x) = 3*x + 3. Give 5*j(r) - 4*l(r).\nAnswer: -r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3, -60, -215, -516, -1011?\n\"Answer: -8*m**3 - m**2 + 2*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 + -10220?\nAnswer: -11012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 323132, 323612, 324092?\nAnswer: 324572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 9*v**2 - 9*v - 5. Let l(c) = -8*c**2 + 8*c + 4. Let p(d) = 4*l(d) + 3*t(d). Let k(u) = 3*u + 4*u**2 - 26*u - 1 + 9*u + 8*u. What is -5*k(x) - 6*p(x)?\nAnswer: 10*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -333 = -7*i - 5*v, -978878*v - 57 = -i - 978874*v for i.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 162*b**5 - 7*b**4\/12 - 493*b**3\/6 + 23*b + 39. What is the third derivative of c(f) wrt f?\nAnswer: 19440","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 15*p**2 - 22*p - 2. Let c be u(11). Suppose t = 9*t - c. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - -36. Suppose -3 - y = 3*k + 5*z, 0 = k - 4*z - 18. Let q = 618 + -617.9. Which is the nearest to q? (a) -1 (b) k (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + s + 0 = -2, -5*v - 3*s + 5 = 0. Solve v = -3*n - 8 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**2 - 122610*x**3 + x**4 - 1 - 13*x - 3*x + 122605*x**3 to the form o*x**4 + y*x**3 + f + q*x + m*x**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 5:03 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8472.9 from 0.1.\nAnswer: 8473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23402?\nAnswer: 2, 11701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.1, 2\/15, -59.\nAnswer: -59, -4, 0.1, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47196031 is divided by 44.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 o when two letters picked without replacement from nnnnnnnnnnnonnnnnn.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d81a - 1?\nAnswer: -1d81b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 740976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 21258, -3, -5 in increasing order.\nAnswer: -5, -3, 21258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, y: 1, l: 1, i: 2, t: 1, b: 1}. What is prob of picking 1 b and 1 i?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2364 and 453100?\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 - -168. Suppose 7*t - 10*t + 196 = 4*u, 2*u = -2*t + b. Suppose 0*o - t = -8*o. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/10 of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 6. Let z be 2 + 2 + (w - 3). Factor -8*i + 3*i - 2*i**2 + z*i.\nAnswer: -2*i*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/484160 and -65\/801.\nAnswer: 4357440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 4936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1539285 and 21.\nAnswer: 10774995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + 1*sqrt(171))*2 + sqrt(171) - (5 + sqrt(171) + sqrt(171)*-1))**2 + 4.\nAnswer: -150*sqrt(19) + 4304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 0 + 20 = 0. Suppose m*z = x - 27, -2*z - 3 = 2*x + 3. Is 6\/5 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 4 - 1. Suppose 5*i + 5*t - 15 = -0*t, -2*t = 4*i - 16. Let l = 7 - i. Solve j = -l*u + 7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) 5\/16 (b) -104 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 13*z**2 + 2*z + 18. Calculate k(-13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -224543.4137 to the nearest 10000.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1110860 by 3316.\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -689265 by 477.\nAnswer: -1445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 381203 and 309.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (76*l**4 + 456*l**4 - 24*l**4 + l**5)*(0 + 1 - 6).\nAnswer: -5*l**5 - 2540*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 23, 2 in descending order.\nAnswer: 23, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -9*r + 228. Let t be a(23). Suppose -51*s = -54*s + t. Calculate the greatest common factor of 49 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 8 - 2)*(2*i + 0 + 0)*(3*i**2 - 3*i**2 - i**4) - 2*i**5 + i**3 - i**3.\nAnswer: -8*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-146)\/(-10) + -9 + 252\/30. Let m = -12 - -16. Solve 3*p - d = -2*r, 5*r - 17 = -7*p + m*p for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 6*p**2 - 12*p - 9. Let c be j(9). Suppose 0 = 3*r - 3*i - i - 128, -3*r + 3*i = -c. Let m = r + 26. What are the prime factors of m?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(1\/4))**(1\/14)*(u*u**0\/u)\/(u**(-3)\/u) assuming u is positive.\nAnswer: u**(227\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -128, -494, -1102, -1952?\n\"Answer: -121*o**2 - 3*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13359)\/(-219) + (9 - (-15)\/(-5)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - l**2 - l + 1. Let y(i) = 2*i**3 + i + 1. Let z(a) = -5*a**2 - 3*a + 4. Let d(q) = -2*y(q) + z(q). What is d(p) - 5*t(p)?\nAnswer: p**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 173*a**2 + 350*a*u - 1312*u - 36 with respect to a.\nAnswer: 346*a + 350*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -404 - -383. What are the prime factors of -54*(2 + d\/9)*24?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -172, -165, -158, -151, -144, -137?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3270 + -3270. What is the closest to -20 in b, 2, 6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t + 3*t + 0*t + t - 3*t + 4*t - 3*t + 0 + 0 + (-2 + 3 + 1)*(-3*t + 3*t - 2*t) + 0*t - 4*t + 2*t.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 5*f + 45. Let a be (-708)\/1770 + (0 - 66\/10). Determine h(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54209494537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 9 = -5*l + a, 4*l - 21 = a. Suppose l*b - 216 = -2*v, 3*v = -3*b - b + 177. Calculate the remainder when 80 is divided by b.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*n - 49 = -74*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -1. Let v = 5 - h. Let j = -0.094 + 0.294. Put -1, j, v in ascending order.\nAnswer: -1, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -746996 divided by 373498?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26*s**2 - s**5 + 13*s**5 + 20*s**5 wrt s?\nAnswer: 1920*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/4)\/(1254\/(-5776)*-57).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 25 = 3. Let h = n - -25. Suppose 0 = 2*u + h*z - 23, u + 4*u + 4*z = 40. Solve 9 = -u*j + 25 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 197 + -156. Suppose -8*j + 7 + x = 0. Solve 4*n - 1 = 5*g, -2*n + 0*n = 4*g + j for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 720, 21, -2.\nAnswer: -2, 21, 720","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and (1\/2)\/(14\/504)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47797845 - 3.5\nAnswer: 47797841.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 118 and 31211?\nAnswer: 62422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -4 + 1 - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 85243223827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*g + 127*g - 29640 + 8334 = 0. Solve 72*v = -g - 254 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m - 16*m - 56 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 3*w - 49, -5*k - 2*w = -96 + 159. Let m(a) = -2*a - 16. Determine m(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n - 8. Let f be j(-7). Let w be 6\/f - 88\/(-20). Solve 14 = -3*z + w*y + 1, -13 = -5*z - 2*y for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 5*t**2 - 6*t - 1. What is x(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 2:50 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14269909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3058449727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of t**8\/7560 - t**6\/810 + t**4\/108 + t**3\/2 - 13*t**2. Let i(c) be the first derivative of s(c). Factor i(g).\nAnswer: 2*(g - 1)**2*(g + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 388038 and 210?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46173021 or -46173017?\nAnswer: -46173021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/2, 61, 2\/5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 q when two letters picked without replacement from {s: 4, q: 1, b: 1, l: 5}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1088) + 3 - sqrt(1088)) + -4 + (sqrt(1088) - sqrt(1088)*2))**2.\nAnswer: 16*sqrt(17) + 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -529 + 535.166. Round w to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1000 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.03 - 4.03. Let p be (134\/35 - (-12)\/(-28)) + 100\/(-25). What is the closest to -1\/2 in r, -2, -0.1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*t - 4*k + k, k + 6 = t. Let s = t - -11. Suppose -30 = -23*r + s*r. Solve -4*o - 19 = m, 3*o + 9 + 11 = r*m for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27800000 rounded to the nearest 1000000?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 1*(-2 + -7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 17*i**2 - i + 2. Let u be t(4). Calculate the common denominator of 127\/24 and (363\/u)\/(5\/(-15)).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*k**2 - 12*k**2 - 78*k**2)*(2 + 7 - 5)*(-2*k - 2*k + k).\nAnswer: 936*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 3. Suppose c = -2*h - h - 6. Is 3 + 0 + h - -12 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1919096, -1919448, -1919800, -1920152, -1920504?\nAnswer: -1920856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 319237 (b) -5 (c) 0.06 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m - 1. Let z(n) be the first derivative of -62*n**3\/3 + 93*n**2\/2 - 93*n - 3873. Calculate -93*h(c) + z(c).\nAnswer: -62*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 6 = z. Let c = 33\/2 + z. Let -9\/2*p + 0 - c*p**2 = 0. What is p?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (6 - 24) + 16\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7cc3b9 (base 14) to base 11\nAnswer: 244a1a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 105?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -5.4. Let p = -799\/3250 - -23\/250. Which is the smallest value? (a) n (b) p (c) 5 (d) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1*sqrt(2299).\nAnswer: -4 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, 2\/5, 0.3, -4, -17, -450?\nAnswer: -450","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(((0 + sqrt(1584))*-5 - (sqrt(1584) + 4 + -1 + sqrt(1584))) + 1))**2 + 5)*1.\nAnswer: 1344*sqrt(11) + 310485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -1) + 5 - (349 - 336)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 + 0.4. Let l = 0.7 + a. Let c = l + -2. Is c smaller than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 13. Let c be (32\/(-6))\/(x\/(-12)). Let u = c - -78. What is the remainder when u is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -985*i + 982. Let c be l(1). Let r(w) = -5*w**3 - 3*w**2 - 8*w - 8. Let a(o) = o**3 + o**2 + o + 1. Let x(j) = 6*a(j) + r(j). Give x(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/12, -0.5, -0.2, 0.05, 2\/857, -5, 0?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 2*c + 10. Suppose 0 = t - c*z + 6, -7*t - z = -2*t - 3. Suppose 3*h - 59 - 1 = t. Solve -5*a + a - h = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*((-10)\/4)\/((-290)\/174) + 11818 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11825)\/(-110)*-4*((-2)\/(-20))\/((-4)\/8)\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 596091 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 3*h**4 - 67573*h**3\/3 + 277688*h**2\/3 - 300164*h\/3 + 30016\/3 = 0.\nAnswer: 1\/9, 2, 7504","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1*sqrt(13)*-6)**2*2.\nAnswer: -120*sqrt(13) + 986","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 3*k - 7*k. Let p(y) = -y**2 - 7*y + 6. Let m be p(k). Suppose m = c + 2*c. Solve 2*w + c*w + 16 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -691, -688, -685, -682, -679, -676?\nAnswer: -673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 8*o**2 + 8*o - 4. Let p be g(7). Let b(d) = 2*d**2 + 2*d**3 - 3*d**p - 2 + 2. Let h be b(2). Solve -4*a - 6 - 6 = h for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -2*v + 462, 4*x + 5*v - 1 = 470. Let y = x - 96. Let g(b) = -7*b - 19. Calculate the smallest common multiple of g(-7) and y.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001382962 to four decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1275343453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l = 8*l - q + 3, 10 = -2*q. Let m be ((-6)\/4)\/((-12)\/l). Which is the biggest value? (a) 0.06 (b) 2 (c) 7 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2083329737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (33\/22)\/((-14)\/(-18)) + -2. Which is bigger: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6280991966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 11*d - 8. Let v be a(11). Let b be (-2)\/v + 1\/(-4). Let y be (-6)\/(-2 - b) - 0. Solve 3*h - 27 = -3*l, h - 6*l + 7 = -y*l for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1269*k - 2189*k + 123710 = -256*k - 55602 for k.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 11, f: 1, n: 7}. Give prob of picking 1 f, 1 n, and 2 r.\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -185, -179, -169, -155, -137, -115, -89?\n\"Answer: 2*n**2 - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**4 - 2*k + 32*k**3 - 8*k - 6 - 65*k**3 + 30*k**3 to the form a + p*k**2 + l*k**4 + f*k**3 + b*k and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 491923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 37)\/3 + -53 + 44. Solve -312 = -x*w - 318 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.007 - 0.307. Let u = 61 - 185\/3. What is the nearest to u in 5, -2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*q + 251690 - 840398 = 0. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12792\/7 + 72787\/35. Let h = s + -253. What is the smallest value in h, 4, 7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 2 + (-396 - -414)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3\/35 + -29\/70. Which is the third smallest value? (a) y (b) 1\/3 (c) -0.16 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 times 0.0444?\nAnswer: 0.003108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-4\/11)\/i*i\/(i**(-9\/7)*i))\/(i**(-1\/24))**(4\/19))**(-30) assuming i is positive.\nAnswer: i**(3035\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2. Let a(k) = -k**2 + 5 - 5 - 12*k**2. Calculate a(i(g)).\nAnswer: -13*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43096190.\nAnswer: 2, 5, 17, 253507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1169 + 1171. Suppose -v + 2 = g - 4, -3 = -h*g + v. Suppose 2*y + 5*m = -23, 5*y + m = 2*m + 10. Solve 3*o = 3, 0 = 2*x - g*x - 4*o + y for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 784056?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 11:02 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13098 divided by 96?\nAnswer: 2183\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1443?\nAnswer: 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45 or 67?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 426089 is divided by 5329?\nAnswer: 5098","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s = 13 + 32 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 84*i + 4 - 42 + 33 to the form u*i + w and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 3 - (-30 - -29)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*w - 987 = -42. Solve 0 = -3*s - u - u - w, u = 5*s + 25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5450, -10899, -16348, -21797, -27246?\nAnswer: -32695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of o**4 + o**3 - o**2 - 2*o - 4. Let p(i) = -9*i**3 - 5*i**2 + 4*i + 4. Let f(j) = -4*p(j) - 7*u(j). Is f(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31227 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*o**4 + 3*o**4 - 6*o**4 + (7*o**2 + 0*o**2 - 3*o**2)*(0*o**2 - 4*o**2 + o**2) to x + b*o**3 + w*o + m*o**2 + i*o**4 and give i.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 5*l - 48. Let q(j) = 2*j. Let x be q(7). What is o in 20 + l - x*o - 5*o**2 - 9*o - 7*o = 0?\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 38 = 5*u. Let j be -2 - -76 - (u - -2). Let a = 156 + j. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-29*16\/(-928))\/(1*-1))\/(4\/416)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -315490 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -11.9, 0.29, -3?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/3))**(-6\/29)*t**(6\/7)\/t*t\/(t**(1\/7)*t)*t*t*t)\/((t**(-2)\/(t\/(t\/t**(-1\/3)*t)))\/(t**(-2\/7)\/t)**(4\/31)) assuming t is positive.\nAnswer: t**(8857\/2697)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-7 - -1) - 5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 10*h**2 + 9*h + 3. Let l be t(9). Calculate the highest common factor of 81 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22545 - -22995. Calculate the greatest common divisor of 6450 and t.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002174114398 rounded to six dps?\nAnswer: -0.002174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-6)*132\/440?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 423*b + 6. Let h(z) = -z**2. Determine w(h(u)).\nAnswer: -u**4 + 423*u**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5851*q + 5857*q - 78 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2 - 213*r - 1089. Let g be m(-5). Let v(h) = -2*h + 40. Determine v(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 64?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -500, 2\/21, 3, -0.05, 2\/25, 5, -1.7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -91344, 0, 1756 in descending order.\nAnswer: 1756, 0, -91344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -5 + (sqrt(931) - (sqrt(931) + 0)))**2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.371 + -0.051. Round d to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -32411724, -32411721, -32411718?\n\"Answer: 3*h - 32411727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7017 is divided by 205?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2358 - -2469. Do 1010\/9 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i**2. Let q(s) = 592*s - 2. What is r(q(t))?\nAnswer: -1051392*t**2 + 7104*t - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-1 + -3 - 1890\/(-450).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 25*z**2 - 44*z - 10. Let a be i(15). Suppose -5*g + 11185 = 5*u, -2*u = -5*g + 6244 + a. Suppose 2*q = 5*k - 5595, -k - k + q = -g. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 + 98.58857?\nAnswer: -15.41143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2467661*d**3*n**4 - 660594*d**3 + 2*d**2 - n**4 wrt n?\nAnswer: -9870644*d**3*n**3 - 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4*v + 3. Let s be 2\/(-1)*(6 + -7). Suppose 0 = -4*b - 0*t - s*t + 12, 5*b - t - 29 = 0. List the prime factors of n(b).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5434456 and 1912.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of b**8\/2016 + b**7\/420 - b**6\/144 - b**5\/120 + b**4\/36 + 27*b**2. Let w(y) = 0. Calculate y.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1312033003 (base 4) in base 9?\nAnswer: 817281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(99\/(-264) + (-188)\/(-416)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -65946\/65 and -1016 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + 0*k**2 - k**2)*(15 - 2*k**3 - 10 + k**3).\nAnswer: 2*k**5 - 10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*(-5)\/(-460)*(-1836)\/(-2295)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001093086012 to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 901 is divided by 129?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 13) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**5 + 20*i**4 + 25*i**3.\nAnswer: -5*i**3*(i - 5)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 11 = -5*r + 18, -15 = -5*y. Let h be -2 + r + 6\/3. Suppose 0 = h*z - z - 2742. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*l + 6*l. Let w(q) = q**2 + 9*q + 10. What are the prime factors of w(l)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1035, -1975, -2915, -3855?\nAnswer: -4795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 60 + 20 = -5*u - 23 - 23, -2 = 9*u - t for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 5*l - 4505 = 0, -2*g + 102*l - 103*l + 1799 = 0. What is the smallest common multiple of 7 and g?\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 42985 = -z + 1921, -3*w + 41064 = 2*z. What are the prime factors of w?\nAnswer: 2, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 8 = 0, -4*f - 8 + 4 = 2*v. What is the nearest to -1 in v, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (-8 - -2) - 4) + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1327629?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of p**2 - 7*p + 93. Let l(y) = -2*y + 8. Calculate 6*l(n) + 7*w(n).\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/2*((-140)\/1575)\/((-4)\/(-40)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*y + 1244 - 2976 - 1454 = 0 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*d + s, -4*d - s = 4*s - 44. Suppose -7*f - d = -34. Solve f = -z - z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 70\/(-15)*9\/(-6). Suppose -5*q = r - 117. What is the highest common divisor of 88 and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.16 + -8.16. Let n = 23 + -19. Let h = x + n. What is the second smallest value in h, -3, 1\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of 0 - 68*z + 0*z**3 + 33\/2*z**2 - 7\/20*z**5 - 1\/12*z**4. Find the third derivative of m(j) wrt j.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -101241 + 46?\nAnswer: -101162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 42\/305?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -89667 + 89694.00064. Let r = -58 + 31. Let w = z + r. What is w rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 7*g + 6. Let n(t) be the first derivative of 4*t**2 + 7*t - 2. Let k(d) = -6*n(d) + 7*v(d). Let m(j) = -j**2. Give m(k(p)).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 6:46 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 3*g**2 + 1. Let b be i(2). Let h = 11855 - 11854. What is the smallest value in -3\/2, h, b?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 divided by -624.\nAnswer: 35\/624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44 + -34. Suppose 12*p = 10*p + f. Is p a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 5*m + 5. Suppose 5*c = -0 + 15. Let o be 26\/8 - c\/12. Let l be d(o). Are l and -3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341670 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/364 and 73\/35.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23573*f**3 + 9*f**2 - 19*f + 52976940 wrt f?\nAnswer: -70719*f**2 + 18*f - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-3)*(3\/(-6) + 2). Suppose -o - 5*n + 1 = -18, 5*o = -b*n + 26. Solve -7*y - 4*l = -3*y, -o*l = -12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -2 - (1 + 0 + 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/2*(-14 - -17) - -65.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d**2 - 27*d - 62. Let c(a) = -7*a**2 + 51*a + 123. Let z(y) = 4*c(y) + 9*f(y). Determine z(-37).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39485704 - 523?\nAnswer: 39485181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1399 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191295, -382555, -573815, -765075?\nAnswer: -956335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -1e?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2869?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 8*p + 11 = 0. Calculate the remainder when 15\/((-1)\/(-2)*1) is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 + 4*g - 4*g)*(3*g - 3*g + 2*g**2) + 0*g**4 + 0*g**4 - g**4.\nAnswer: -3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 158*o + 3348. Calculate c(26).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -58918a (base 11) to base 8\nAnswer: -3441265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 35 + 6\/(-24)*-28. Suppose -c*q + 3*d = -44*q + 15, 0 = 2*d - 6. Solve 4*p = 3*t - 18, q*p - 5*p = -4*t + 14 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/2 - -2 - (-3)\/4.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*r - 146*r + 263*r.\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(-15)*5\/2. Let w be s\/(-4) - (-66)\/(-4). Let q = w + 31. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -14 + 39 + 5*f - 4*f. Let s be v(-23). Let -4\/7*g**4 + 2\/7 - 6\/7*g**3 + 2\/7*g**s + 6\/7*g = 0. What is g?\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 172 = 8*y. Let l = y - 82. Solve -z - 1 = 2*c + l, -c = -2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3018*n - 1049 + 13607 = -12781 - 35021 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1369 - 14*z - 1358 - 28*z as l*z + q and give l.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 179238599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 40973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 31 = 2*r - 2*j, -4*r - 5*j = -5. Suppose 2*k = g + 885, 2*k = 5*k + r*g - 1308. List the prime factors of k.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/5 (b) -223 (c) -1\/2 (d) -5.2 (e) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4141?\nAnswer: 41, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 1\/4 (b) 2\/9 (c) -1 (d) 826918 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 978.6 - 979. Sort -5, 65, d.\nAnswer: -5, d, 65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**2 + 0*w**2 - 12*w**2 + 10*w**2. Let z(m) = 185*m. Give z(o(d)).\nAnswer: -740*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five eighths of a centimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 a when three letters picked without replacement from faawamwffwlfw.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -y**8\/112 + y**4\/24 - y**2\/2 + 4. Let w(m) be the second derivative of d(m). What is the second derivative of w(z) wrt z?\nAnswer: -60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5c (base 16) in base 12?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 + -1*(2 - 7) is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 + (-134 - 4) - -87?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2*a - m - 7, -4*a - 4*m = 8. List the prime factors of 57 - (2 - (-3 + a)).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 1635, -3, -25, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 2*u - 17 - 18*u**3 + 13*u**3 + 4*u.\nAnswer: -5*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-5))\/(156\/(-390)). What is the closest to 15 in -5, r, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p - 4*t + 20, -5*p + 0*t - 2530337 = 4*t - 2530349 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -da6d2 (base 14) to base 13.\nAnswer: -156565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 7*q**2 - 13*q - 21. Let j be g(9). Let s be (-170)\/(-6) - j\/18. Round s to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 31503207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.078, 1, -5\/6?\nAnswer: 0.078","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 - 2*i**2 + i**2)*(3*i - 2*i + i) - 5*i**3 + 2*i**3 + 4*i**3 + (17*i - 8*i + 7*i)*(-8*i + 8*i + 12*i**2).\nAnswer: 189*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pww when three letters picked without replacement from wpppwppppppwpp.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-50))\/(23\/(-46)). Which is the closest to v? (a) -2 (b) 3\/5 (c) 0.02 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 q, 1 v, and 1 j when four letters picked without replacement from ycdqcqcvqqccjcycjdc.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -207 (b) 1 (c) -5\/23 (d) 21\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12262*r**2*x**2 - 39*r**2*x + 6*r**2 + 236*r - 75*x**2 - 5 wrt x?\nAnswer: -24524*r**2 - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 104 = -12. What are the prime factors of k?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -23*c**2 + 5\/12*c**4 + 0*c**6 - 1 + 0*c - 1\/210*c**7 + 0*c**3 - 7\/60*c**5. What is the second derivative of m(t) wrt t?\nAnswer: -12*t**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b83 (base 12) to base 8.\nAnswer: -6523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -5*b**4\/12 + 23*b**3\/3 + 17*b**2 - 5007*b. Determine g(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*b**5 + 12*b**2 + 29*b + 2 wrt b.\nAnswer: -80*b**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from laaalag. What is prob of picking 1 g and 2 l?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 17*t = -8368, -3*u - 2*u = 5*t - 41840. List the prime factors of u.\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/4 + 1 + (-70)\/72. Which is the nearest to 1? (a) -5 (b) 1\/3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 11:25 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 5:48 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 19*o + 37. Let g be y(17). Let c(l) = -1 + 14*l - 7*l - g*l + 2*l. Let k(a) = 2*a**2. Give k(c(p)).\nAnswer: 72*p**2 - 24*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15161 is divided by 90?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l. Let x(d) = 5 + 7882*d - 28*d**2 - 7882*d. Give s(x(p)).\nAnswer: -56*p**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 131 + 72*x - 132 - 14*x + (1 + 0 + 0)*(7*x - 2*x - 4*x) as t + f*x and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20 + 403112?\nAnswer: 403132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaa. Give prob of picking 3 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-693)\/154*(-14)\/819?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3191*h + 37193 + 29818 = 0 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-10)\/(a\/(a*a\/a**(-5)*a)))**(-25) assuming a is positive.\nAnswer: a**75","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hxbmbva. What is prob of sequence hax?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 4 = -16 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38d337 (base 15) to base 5.\nAnswer: 1144241402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5852339653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 2:59 PM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -k + 2. Let d(s) = s**3 - 6*s**2 + 10*s + 5. What are the prime factors of d(k)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2651799181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 469.7 + -537. Let p = t + 71. What is p rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2156966 is divided by 1397?\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1821 in 2.8, -0.4, -10\/7, 0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjphppjpmqp. What is prob of sequence mp?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-4) + (-214)\/(-2). What is the common denominator of (k\/(-24))\/(4\/3) and ((-102)\/(-35))\/(32\/(-40))?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**4 + x**3 + 4. Let q(k) = -3*k**4 - 84*k**3 + 624*k**2 - 7. Let f(m) = q(m) + 2*v(m). Find the third derivative of f(p) wrt p.\nAnswer: -24*p - 492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5520679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 k when three letters picked without replacement from {b: 3, k: 5, a: 3, u: 1}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (5*(-9)\/(-15))\/3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -134 - -131.65. Let j = -2.75 - p. Sort 2, 8\/7, j in ascending order.\nAnswer: j, 8\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 44*w - 46. Let s be r(5). Suppose -23*h + 29*h - s = 0. Solve 2*p + 4 = 2*i, 3*p - 4*i = 6*p - h for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1549 or 1554?\nAnswer: 1554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2873152000 a multiple of 591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9025438?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventeen halves of a millennium?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5702666 - 1613*u**3 + 5702666.\nAnswer: -1613*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of l**5\/20 - l**4\/12 - l**3\/6 + l**2\/2 + 3*l + 6. Let q(r) be the first derivative of p(r). Factor q(u).\nAnswer: (u - 1)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 760, 2414, 4998, 8518, 12980, 18390?\n\"Answer: p**3 + 459*p**2 + 270*p + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2d72a (base 15) to base 13.\nAnswer: 51a39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 1:33 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4799971.241 and -13.\nAnswer: 4799958.241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -l**3\/3 + l**2 - 3*l - 1. Let z be r(2). Let o be 4\/8 - (-3)\/6. Put z, 3, o in descending order.\nAnswer: 3, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -0*q - 25. Suppose 5*p - q*w = -45, -3*w + 0*w = 4*p + 36. What is the common denominator of ((-73)\/2)\/(p\/9) and -28\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-20)\/(-2)*(-59)\/413.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 444 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10073 (base 9) to base 10.\nAnswer: -6627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -195170? (a) -21 (b) 2.9 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 78732483.77 to the nearest 1000.\nAnswer: 78732000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36042670*o**3*p**2 - o - 869519*p**2 wrt o?\nAnswer: -216256020*o*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -138*g**5 + 1 - 4009*g**3 + 16*g**2 + 4009*g**3 wrt g.\nAnswer: -8280*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3112 greater than or equal to -3091?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, w: 6, k: 2, j: 3, h: 2}. Give prob of picking 1 v and 1 k.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2400 = 2*s - n, 0 = 4*s - s + 3*n - 3600. Calculate the lowest common multiple of 24 and s.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-106)\/(-6))\/(2\/1476) - -4. Round x to the nearest 100.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28872 divided by 18.\nAnswer: -1604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - (1 + (-10 - (-21 + 9)) - 6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 20*l**2 - 37*l + 2. Let b be r(-18). Solve -b = 4*c, -k - 15 = -6*k + 4*c for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 - -27. Let f = -4.971 + -0.029. Sort x, f, 0.4, 0 in decreasing order.\nAnswer: 0.4, 0, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19*165\/11286)\/((-10)\/8).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/(-18) - -4*1. Let n(o) = 3*o**2. Suppose -r = 3*t - 11 + 3, 3*r - 17 = -2*t. Let l be n(t). Does l = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.0258 + -1.8258. Which is the nearest to -2? (a) -2\/5 (b) p (c) 2\/7 (d) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 170, -3, 1, -4 in increasing order.\nAnswer: -6, -4, -3, 1, 170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/4)\/f**(-6))\/(f**(3\/5)*f*f**(2\/17)))**(-4) assuming f is positive.\nAnswer: f**(-1541\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10815, -10849, -10883, -10917, -10951, -10985?\nAnswer: -11019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.2 and 1.2.\nAnswer: -1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*s**3 - 89*s**3 + 35*s**3 + 8*s**2 + 97*s**3 - 8*s**2.\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 5*v + 10 = 0. Suppose v*p + 16 = 4*p. Suppose -1 = -3*o + p. What is the remainder when o is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 422*o - 417*o + 99 = 84, -3*y + 48 = o for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*n**2\/7 + 5067717*n\/7 + 1126158\/7 = 0. Calculate n.\nAnswer: -187693, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 1\/2 (b) -5 (c) -33.4 (d) -3 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/6)\/x**(-4))**23*(x**(-8)\/(x*x*x**(-1\/3)\/x*x))**(-31) assuming x is positive.\nAnswer: x**(2327\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 12:33 PM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 9*y**2 - 12*y - 28. Let u be z(-8). Let i = -1 - 4. Let w = 10 + i. What is the smallest value in w, u, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11699 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 125 = 5. Let n = k + 22. Let p be (-2483996)\/n + 16\/72. What is p rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1296*i + 14877 = 2079*i for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204)*-1 + sqrt(204))*2 - (sqrt(204) - sqrt(204)*1)*-6)\/((sqrt(300) + -2*sqrt(300)*1 - sqrt(300)) + sqrt(300) + sqrt(300) + 6*sqrt(300)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -3, -179536 in descending order.\nAnswer: -3, -4, -5, -179536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3045 by -435.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -10099983 - -7*(-136)\/56. What is z rounded to the nearest 100000?\nAnswer: -10100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3422 - -3690.3. Let a = -268 + f. Which is greater: 23 or a?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 71956824 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 + -37. Let i(b) = -b**3 + b**2 + 3*b - 4. What is the units digit of i(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-329 + 329 + 44*b)*(-1 - 1 - 1) + 3*b - 5*b + 4*b - 3*b - 9*b + 0*b.\nAnswer: -142*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-4))\/((-3)\/(-18)). Suppose 0 = -2*y + 2*s, -5*s = -3*s - 10. What is the greatest common factor of y and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 773 + -509. Suppose 0 = -3*f - 3*r - 378, 2*f - 5*r + r + d = 0. Let p = f - -218. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -b**4\/4 - 5*b**3 + 133*b + 165. Calculate the lowest common multiple of o(-15) and 63.\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 33227\nAnswer: -4\/33227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7950.\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 3 (c) -2686 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001 + 1?\nAnswer: 10010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (-27 - (-1 - 1)). Let q = 277 + -97. Let g = 28 + q. Calculate the highest common divisor of g and b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/5))**(-1\/4)\/(i\/i**(-1)*i*i**(-1\/26)\/i) assuming i is positive.\nAnswer: i**(-523\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-3) - (5 - 4). Let w = 0 - l. List the prime factors of w\/(-5) + (-448)\/(-10).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 12*a + 153. What is l(-10)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 14)*(309*p + 299*p - 3399*p**3 - 918*p + 308*p).\nAnswer: 44187*p**3 + 26*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/(-20)*(-18)\/75?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q**2 - 22*q - 15. Let z be o(6). Let s(g) = -4*g**2 - 6*g. Let f(t) = 7*t**2 + 11*t. Determine z*f(h) - 5*s(h).\nAnswer: -h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -369, -729, -1087, -1443?\n\"Answer: x**2 - 363*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -6*f + 42. Suppose 2*h - 4*q + f = 0, 11 = -3*h + 5*q - 12. Let d = -2.9 - 0.1. Sort d, 4\/3, h.\nAnswer: d, h, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -124, 5 in ascending order.\nAnswer: -124, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3556*n + 3458*n - 7056*n.\nAnswer: -42*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 18*n**2 - 2*n - 61. What is h(-18)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -45, -195, -445, -795, -1245, -1795?\n\"Answer: -50*a**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -4. Let a be 18\/(-60)*z\/3. Put a, 1\/3, -1 in decreasing order.\nAnswer: 1\/3, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.28 - -6527666?\nAnswer: 6527664.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*h**6 - 11*h**4 + 110*h**2?\nAnswer: -1080*h**3 - 264*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x**3 - 5*x + 2. Let j(a) = a**3 + a - 1. Give f(m) + 2*j(m).\nAnswer: -m**3 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -62, 6 in decreasing order.\nAnswer: 6, -32, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (18 + -28 - 7)) + 1 + -8?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 5*n - 53 = 0, -4*n = -3*d - 9403 + 9341 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-30)\/(-9) - (-4)\/6. Let q be (0 - 0\/(-1))\/1. Suppose o*f - 8 = -q. Solve f*t + 13 = -y, 0*t = y + t + 9 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f - 2*f + 3*f + (1 + 5 - 5)*(2*f - 2*f + f) + f + 3 - 3 - 4*f - 4*f - 12*f - 3*f + 12 + 2*f + 9.\nAnswer: -17*f + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 18\/19, -1\/4, -5, -1.5 in decreasing order.\nAnswer: 18\/19, -1\/4, -1.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -179*g**3 + g - 20*g**2 + 5 - 2 - 8 - 6*g. Let k be s(-5). Suppose -3895 - k = -10*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 208656?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 4*p = -5 - 9, -5*k - 21 = -4*p for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307 is divided by 23.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 80.21 - -3.9. Let d = -83 + o. What is d rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -3 (c) 2\/651\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2 = 8. Suppose 2*f = f - 4. Let k = y - f. What is the smallest common multiple of 7 and k?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 210, 2, 8757 in descending order.\nAnswer: 8757, 210, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -6 (c) 16 (d) -4 (e) 1 (f) 24\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -57 - -56. Let h be 2*x*(-15)\/10. Suppose 0 = q - 0*t - h*t - 87, -333 = -4*q - 3*t. Calculate the greatest common factor of 24 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(343\/70))\/(2*(-6)\/(-84))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.05 - 0. Let v = 0.15 - g. Which is the second biggest value? (a) 9 (b) 3\/8 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -5, 113 in descending order.\nAnswer: 113, 5, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2880 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*t + 5 = 147 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 421\/6 greater than 71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6285499 and 5142681.\nAnswer: 56569491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -20990?\nAnswer: 10495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 154 - 1?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.4 and -12887?\nAnswer: 18041.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 54 - 166 = -2*u, -4*v - 212 = -4*u. What is the greatest common divisor of 36 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/(-18))\/(1205\/2892) - 13\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43815 is divided by 21889?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 759, 748, 723, 678, 607?\nAnswer: 504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 9 + 63 = 0. Let d = -12 - k. Find the third derivative of -d*z**5 + 10*z**2 + 11*z**2 - 20*z**2 wrt z.\nAnswer: -900*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1230, -5, 3, 5, 276, -4 in descending order.\nAnswer: 276, 5, 3, -2, -4, -5, -1230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -42 and -181\/120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 386 = 2*i, i + 481 + 19 = 5*z. Let r(c) = -92*c**3 - 5*c**2 + c + 2. Let k be r(-4). Suppose -5*b = -k - z. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**3 + 542*m**2 - 2625*m - 2. Determine d(5).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 4*p - 27, 0 = -2*x - 5*p + 4 + 5. Let o = -13\/3 + 94\/21. Let l be (-535)\/(-100) - (-3)\/12 - 18\/3. Sort o, l, x, 4.\nAnswer: x, l, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1017318 and -1.\nAnswer: 1017318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - 8)\/(-60) - (-1)\/6. What is the fourth biggest value in j, -2\/5, 0.2, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2058 and 756546.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 19.82. Let y = -3499.5 + 3499.320072. Let a = p - y. What is a rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three sixteenths of a hour?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 2*d = 2, 118180*s + d + 16 = 118179*s + 4*d for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 82465\/12 + -6863. What is the common denominator of k and -101\/102?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 515 a factor of 149981823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -58\/11 equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -7*u + 4*x + 19, 3*x = 5*u - 28. Suppose 3*z + 376 = 5*s, 0 = u*z - 5*s - 314 + 924. Sort 2, z, 0 in descending order.\nAnswer: 2, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 201 or 220?\nAnswer: 201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1155 (base 9) to base 15\nAnswer: -3c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or -15?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 2, -1, 758 in decreasing order.\nAnswer: 758, 2, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -51*w**3 - 4*w**2 + 55*w + 82. Let o(j) = -25*j**3 - 2*j**2 + 27*j + 35. Determine -7*o(h) + 3*u(h).\nAnswer: 22*h**3 + 2*h**2 - 24*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 23.6 and 0.0746.\nAnswer: 1.76056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 4*a + 0 + 12 = 0, -10*k - 335*a = -338*a + 52 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8288\/(-126) + (-4)\/18. Let k be (-1068)\/z - (-2)\/(-11). What is the greatest common divisor of k and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 6*o**2 + 2*o + 2. Give y(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 36 - 1145?\nAnswer: -1106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j - 24. Let w be f(-9). Suppose -o - r + 0*r = -14, -3*o + w*r + 42 = 0. Solve -4*d - 5*t = o, d - 2*t = -2*d + 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 801\/2255 + 39\/205. What is the fourth biggest value in -27, -0.5, g, 2\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 11. Suppose 4*p - 20 = -w*f, f + 0*p = 3*p - 10. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 464 a factor of 403781307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.04, -4, -20 in descending order.\nAnswer: 0.04, -0.4, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t - 7. Let f(l) = 7*l + 39 + 8 + 39 + 15. Let b be f(-15). Determine r(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 645 - 349. List the prime factors of v.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2542 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12090382*y - 29803942 wrt y.\nAnswer: -12090382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66 - 71. Let n(x) = x**2 - 15. Let k be n(m). Suppose 0 = k*l - 9*l. Let s(o) = -o**3 - o**2 + o + 5. What is s(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 533 + -404. What is the highest common factor of 3 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1261305096?\nAnswer: 2, 3, 23, 73, 113, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 72 + 12. Let p be (-3)\/f + (-1)\/5. Let n(g) = g**2 + p + 0*g**2 + 6*g + 4 + 0. Determine n(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 4*o + 5*c = -12, -12 = -3*c. Is 52\/1 - (o - -5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -551*g + 13. Let p(j) = -550*j + 15. Let w(l) = -6*i(l) + 5*p(l). What is the hundreds digit of w(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 1:04 AM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of 0*t**2 + 0*t**3 + 1\/4*t**4 + 3\/10*t**6 + 0 - 9\/20*t**5 + t - 1\/14*t**7. Factor b(m).\nAnswer: -3*m**2*(m - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 9 - (-13 - -12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 32 + 553*c - 18.\nAnswer: 553*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 f when three letters picked without replacement from {h: 1, f: 2, g: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5194 and 581.773?\nAnswer: 4612.227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 89 = s, 28*s + 2*i - 166 = 26*s. What is the remainder when s is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 2)*(2 - 2 - 5)*(2*w + 2*w - 2*w).\nAnswer: -30*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249881?\nAnswer: 249881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 2:11 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(77) - 3*sqrt(77)) - 6*2*sqrt(77))\/(-4*(sqrt(1008) - 5*((sqrt(1008) - (-1*sqrt(1008) - sqrt(1008))) + sqrt(1008)))).\nAnswer: -5*sqrt(11)\/228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 7:36 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4747*s - 76954 = 24326 - 20581 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p. Suppose -12*k = 4*l - 7*k - 11, -3*l + 4*k + 16 = 0. Let b(g) = -32 + 18 - 14*g + 14. Calculate l*b(u) + 44*c(u).\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11\/8 + -13\/8. Let z = -3 - -7. Put z, k, -3 in ascending order.\nAnswer: -3, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 3*b - 5*p - 14, -3*p + 10 = -b. Let v be (-3 - -1) + 12*b\/(-6). Let z(u) = u**3 - 7*u**2 + 6*u. What is z(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*t**3*x**3 + 169213*t**3*x**2 + 16*t**2 - 9*t*x**3 + 5*t*x**2 - t - 105*x**2 wrt t?\nAnswer: 48*x**3 + 1015278*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (6\/99)\/((-6)\/27)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/17 (b) -0.5 (c) -0.03 (d) 4\/7 (e) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2976)\/(-42) - -11) + 4515\/2107.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.03593 grams to milligrams.\nAnswer: 5035.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 490\nAnswer: 3\/490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1854 = -2*t + 498. Suppose 4*y - 2985 = y. Let v = y + t. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25532980 is divided by 176089.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*v*z**4 - 5*v*z**2 - 502*v wrt z.\nAnswer: -28*v*z**3 - 10*v*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4980 - 9961\/2. What is the third biggest value in 2.3, 0.05, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k + 6*k - 4*f + 7 = -2*f, 0 = -23*k + 12*k + 99*f - 187 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18168*m = -18772*m - 43488 for m.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5808628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 + 6117*w**2 - 1594947*w + 1588827.\nAnswer: 3*(w - 233)*(w - 1)*(w + 2273)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -be (base 16) to base 10.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 9:36 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 117666428 to the power of 1\/3, to the nearest integer?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 5. Let y = 311 - 297. Find the first derivative of -l + 5*v + 4 + 6 + y*v wrt v.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-16)\/4*10\/8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 11:07 AM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, 3, 0.05, 3\/7, -384.\nAnswer: -384, -1, 0.05, 3\/7, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 12. Let j = 388 + -404.1. Let p = j - -16. Which is the closest to d? (a) -0.3 (b) -3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1471 - 22066\/15. Suppose -18 = -2*g + 5*g. Which is the closest to 0? (a) -0.4 (b) g (c) q (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 5 + 3. Let k be 35\/50 + l\/20. Let b = k - -1\/5. What is the second smallest value in -4, b, -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 10:40 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 448820.19 + -0.15\nAnswer: 448820.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45.017 - 45. Let j = h + -0.017. Let w = 0.19 - 0.09. What is the nearest to w in -0.4, 3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12462\/217 - 6\/14. Let u(j) = -4*j**2 - 3*j + 4*j**2 + 54 + 2*j**2 - x. Give u(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8615 = -5*n + 25185. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2423574308732 - 2*z - 2*z + 2423574308732.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -10100055 (base 6) to base 9\nAnswer: -477638","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -22 + (-6 - 4 - (-60 - -61)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-457*m + 457*m - 5*m**5)*(45 + 141 + 281).\nAnswer: -2335*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/((-18)\/6*(-30)\/18). Solve t = 203*u - 208*u - 25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 - 232035?\nAnswer: -232044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o - 26*o = -32. Suppose 3*x - 79 = -o*h, 0 = x + 8*h - 3*h - 30. Is 25 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.093 times 463\nAnswer: -43.059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.4, 75, -1, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 6*p - 1. Let x be n(6). Let z(y) = -232*y**3 + y**2 - 2*y - 4. Does 41 divide z(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j - 2993 = -14*j + 3*t, t + 3 = 0. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 3026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/10 + 2 - 14\/(-70)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1132*t + 1129*t + 1481*t**2 - 1476*t**2.\nAnswer: 5*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -5*h**3 + h**2 - 272. Let n(i) = -3*i**3 + i**2. Determine n(g) - s(g).\nAnswer: 2*g**3 + 272","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.27 - -1.73. What is the closest to j in -0.197, 3, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 4*c + 108, x - c = -4 + 29. Suppose 0 = -3*u - 3*k + 117, -u - 3*k + x = -15. Calculate the remainder when u is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -192928, -192960, -192988, -193012, -193032?\nAnswer: -193048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 493 divided by -17.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 7*s**2 + 5*s - 4. Determine k(5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1530 (base 10) in base 3?\nAnswer: -2002200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15989\/10 + 1590. Calculate the common denominator of (7\/(-180))\/(4\/(-3) - -1) and c.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -5*g**5\/2 - 8116*g**4 - 1693619*g**3\/2 - 22031298*g**2 + 22886226*g = 0.\nAnswer: -15697\/5, -54, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -5 - 1\/4*r**4 - 9\/2*r**2 + 11*r + 10\/3*r**3. Is z(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1461.3 and 128.\nAnswer: -187046.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -103527*b**2 + 12*b + 171755.\nAnswer: -207054*b + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 - 0.1. Let v be -6*(-2)\/12*-3. Let h = -3.1 - -3. Which is the third biggest value? (a) v (b) h (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + -70 + 73 - (3 - 6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -44227627 and 0.3.\nAnswer: -13268288.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 q when three letters picked without replacement from {z: 1, i: 2, u: 2, x: 1, d: 1, q: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 3 - 1)*(2 - 2 - p + (-4 + 4 - 2)*(-6*p + 3*p + p)) to a*p + d and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 4, -0.1 in decreasing order.\nAnswer: 4, -0.1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21 - 9 + 28)*(-2*k + 5 - 5)*(0 + 3 - 5) to the form m + b*k and give b.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8084490 is divided by 10080?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.32 + 50.32. Let t = 46 - y. Put 4, -3, t, 3\/2 in descending order.\nAnswer: 4, 3\/2, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**2 + 457634*l + 23334132 = 0.\nAnswer: -228766, -51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -27459?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 110746.8us in hours?\nAnswer: 0.000030763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f**2 - 21*f - 47. Let i(b) = 9*b**2 + 55*b + 140. What is 5*i(v) + 14*p(v)?\nAnswer: 3*v**2 - 19*v + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-8 + 2 + 6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 10:34 AM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -83 + 20?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a66 - 84a?\nAnswer: -23b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2357*j - 4139. What is z(-2)?\nAnswer: 575","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4 = -2*d. Suppose d*o = -3*l + 6, -l + 0*l - 22 = -2*o. Calculate the highest common factor of o and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1939561207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 0) + (353 - 356).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*b**3 - 5 - 198*b + 100*b + 97*b in the form q*b**2 + r*b + p*b**3 + d and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 102 and 986.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 3*p - 752, 3*p = 2*s + p - 376. Find the common denominator of -29\/27 and s\/8*(-1)\/(-3).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 3:18 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d + 7. Let b be l(-3). Is 6*b\/(-8) + 446 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*2\/6 - (4704\/72 + -16)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 40.93859 milligrams?\nAnswer: 0.00004093859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1075, 2152, 3231, 4312, 5395, 6480?\n\"Answer: u**2 + 1074*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of x**7\/3360 - x**5\/160 - x**4\/48 + 2*x**3\/3 - 2. Let z(d) be the third derivative of k(d). Solve z(w) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 6\/11 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4628445 plus -448203.25?\nAnswer: -5076648.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5894, -5455, -5016?\n\"Answer: 439*s - 6333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a micrometer in nanometers?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*o*(o\/o**(4\/3))\/o*o*o)\/o)\/(o*o**(-5\/4)))\/(o**(1\/4)*o**(-11)) assuming o is positive.\nAnswer: o**(41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4*w**2 + 357*w + 113. Give g(-87).\nAnswer: -670","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g**3 - 3*g**3 + 4*g**3)*(3 + 3*g - 3) - 2*g**4 + g**2 - g**2 + 20*g**4 - 7*g**4 - 6*g**4 in the form i*g**4 + d*g**3 + k*g + p + w*g**2 and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22723?\nAnswer: 31, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 422 (b) 0.043 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -1. Let m(b) = -b - 1. Give 6*g(d) - m(d).\nAnswer: d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -268*s**3 + 186 - 69*s**3 - 159*s**3 + 14*s**2 - 14*s**2 wrt s?\nAnswer: -1488*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*r + 153*r - 309*r.\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/11 (b) -3.46 (c) -5 (d) 36 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/12302 + 12295\/86114. Sort -0.4, 471, s in decreasing order.\nAnswer: 471, s, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/1707402 and 52\/15577.\nAnswer: 718816242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -26. Suppose a*b + 55 = 3*b. Let f(t) = -2*t + 1. Let j(w) = -w**2 - 25*w - 2. Let p be j(0). Let o(h) = h**2 + 11*h - 5. What is b*f(r) + p*o(r)?\nAnswer: -2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 853243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*q - 9*q + 7. What is the remainder when 11 is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 5*r - 6*r = 12, z + r + 6 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 5 - 3 + 2 + 0 + (-3 + 3 - 2)*(1 + 0 + 1) + 3 + 2 - 4 + 6 - 7 - 7)*(-2*z**5 + 3*z**3 - 3*z**3).\nAnswer: 28*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 = -1815?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 406 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + (9 - -7) - 6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -70 - -67. Which is the third biggest value? (a) i (b) -4 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i + 6. Suppose -x = 3*x - 4. Let k be d(x). Solve k = -5*g - s, 8 = -4*g - g - 2*s for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -57618519?\nAnswer: 2\/57618519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 31336000 to the nearest one hundred thousand.\nAnswer: 31300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 - 205*f + 210.\nAnswer: -5*(f - 1)*(f + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/8 - 715*s + 109041\/8.\nAnswer: -(s - 19)*(s + 5739)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d + 3. Let v be (-6)\/(-15) - (-32)\/(-5). Let b be v\/(-15) + (-34)\/10. Let p be j(b). Let w(x) = -x**2 - 3*x. What is w(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 4:10 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*s + 2*q + 18 = -13*s, -3*q = 3*s - 36 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 17 = -2*w. Let p = w - -22. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 0. Let k = 7 + d. Solve 2*s + 2*w = 2, 0 = -4*s - k*w + 2*w + 8 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -89\/9, -10, 0, 5 in increasing order.\nAnswer: -10, -89\/9, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + (-66)\/(-9))\/(5\/15). Calculate the highest common divisor of 16 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/7)\/(12\/84). Let r(l) = l - 6*l**3 + t*l**2 - 2 + 2*l**2 + 4 + 2. Is r(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*l - 4 = -14*l + 2*i, 0 = 4*l - 4*i - 32 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.04703 - -0.047070335. What is x rounded to six decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k*q**2*u**2 - 2*k*q*u**3 - 2*k*q*u - 2*q**2*u**3 + 2*q**2*u - 16*q*u**3 - 35*u**2 wrt u?\nAnswer: -12*k*q - 12*q**2 - 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-135))\/(28\/84).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -219 + 227. What is the highest common divisor of x and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -33 at least as big as -41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, 0.052, -260?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*h = 3657 - 2889 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6006.1 - -6854. What is m rounded to the nearest 10?\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -5. Suppose x = 4*k + k - 90. Suppose 4*h + k = -2*z, 4*z - h = -0*h. Which is bigger: -3\/7 or z?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24.13 + -0.13. Let q = -23.7 + w. Which is the third smallest value? (a) q (b) 0 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 11 + 331809*c - 331807*c)*((4*c**2 - 5*c**2 + 3*c**2)*(0 - 5 + 3) - 4*c**2 + 3*c**2 - c**2).\nAnswer: -12*c**3 - 96*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 6, 3335*h + 3*r - 21 = 3332*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 284523 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: Let n(w) = 12*w**2 + 8414*w + 55. Let p(d) = -2*d**2 - 1683*d - 10. What is 2*n(y) + 11*p(y)?\nAnswer: 2*y**2 - 1685*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2803*o - 1426*o - 1403*o + 59 - 59.\nAnswer: -26*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33 - -10) + 15 - 40.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1885082, 3770165, 5655248, 7540331?\nAnswer: 9425414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9665.90009 + 9667. Let n = -0.137 + 1.237. Let r = d - n. What is r rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -17. Suppose -16 = t - r*t. Find the first derivative of -2*m + m + 3 - t wrt m.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.24? (a) 0 (b) 0.64024 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-4) - 651\/(-12). Suppose h + i = 5*z - 4*h, 0 = 3*h + 9. Find the third derivative of 0*m**2 + z*m**5 - 3*m**5 - 3*m**2 wrt m.\nAnswer: 300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152755173?\nAnswer: 3, 5657599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1457671223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3855448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l**3 - l**2 - 31*l + 86. Give b(3).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 9 + 2*a - 3*a - 2*a. Let k be u(-5). What is the highest common factor of 216 and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-205)\/(-20) - -11) + (-2)\/8?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 679*p - 226*p - 19 - 226*p - 225*p.\nAnswer: 2*p - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31002112 by -7750528.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8128? (a) 0.1 (b) -35 (c) 1\/22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-18)\/36)\/(3\/2). What is the fourth smallest value in 3, 2, -1, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -4*c**2. Let n(x) be the second derivative of 13*x + 1\/6*x**4 + 0*x**2 + 0 + 0*x**3. Calculate n(l(q)).\nAnswer: 32*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2073456.9ms in minutes?\nAnswer: 34.557615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -1. Let v(l) = -13*l + 13. Let u(k) = -k**3 - k**2 + 10*k - 7. Let y be u(3). Let w = -760 - -759. What is w*v(z) + y*x(z)?\nAnswer: 13*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -1107*s + 1108*s - 23, 14*q - 4*s + 26 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -8*-2289\nAnswer: 18312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 264 + (3 - 4) + -2. Suppose j = 15*b - 12*b. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 25*k**3 - 12*k**2 - 6*k + 34. Is v(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*t + 3*n, 1265*n + 9 = 3*t + 1263*n for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-5 - -10 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 1 + 7 = 0. Suppose h = -0*h, -u = -d - 5*h. Let a(o) = -o - 5*o - 2*o**d + 4 - 6. Determine a(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of 10*w**2 + 0 + 4*w**3 + 1\/24*w**4 + 0*w. Let j be t(-20). Solve 37 = -4*q + j*h + h, -2*h = -4*q - 22 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**4 + 7*c**3 - 2*c**4 - 14*c**3 - 5*c**4 + 11*c**4 + 15*c**4 + (-c**3 + 1 - 1)*(-c + c - c).\nAnswer: 20*c**4 - 7*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7558.\nAnswer: 2, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -11467432 at most -11467431?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, 1, -2\/9 in increasing order.\nAnswer: -32, -2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 10:14 PM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7743804517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/11, 547, -23, 4, 5?\nAnswer: 547","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.13 and 118.\nAnswer: -133.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(325) + sqrt(325) - (sqrt(312)\/sqrt(6) - sqrt(52)))*4 + 1 + sqrt(208) + 0 + sqrt(208) + -2 + sqrt(208)*-1 + -1)**2.\nAnswer: 144*sqrt(13) + 16852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (1 - (-3 - 3)). Factor -p*b**2 - 413*b**5 - 3*b**2 + 2*b**2 + 2 - b + 410*b**5 + 4*b**4 + 4*b**3.\nAnswer: -(b - 1)**3*(b + 1)*(3*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/8)\/(109\/(-4)). Is -1 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002886569 to six dps.\nAnswer: 0.002887","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 - 7*h + 47*h**4 - 45*h**4 - 47*h**4 - 7*h**3 + 46*h**4 in the form q*h**2 + z*h**3 + b + c*h**4 + t*h and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+4516.2134661\nAnswer: 4516.5134661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -25, 3\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 4*f**6\/15 - 8*f**5\/5 - f**4\/2 + 13*f**3\/3 - 4*f**2 - 6*f + 16. Let w(z) be the first derivative of o(z). Factor w(l).\nAnswer: 2*(l - 4)*(l + 1)*(2*l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-31)\/((b\/(b*b**(8\/7)*b))\/b) assuming b is positive.\nAnswer: b**(-195\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 16 = -0*w. Let x(r) = -2 + 3 - 4 + w*r**2 - 5*r**2. Calculate x(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-408)\/459 + (-2)\/(-9). Which is the closest to -0.04? (a) i (b) -3 (c) -0.5 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*t + 111 + 19*t + 22*t - 44*t to d*t + r and give d.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 5*u**2 + 8*u + 9. Let j be p(-6). Let b(r) = r**3 + 4*r**2 + r - 2. Let m be b(j). Suppose -3*f - 1465 = -m*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vdzzvzzqzzdh. What is prob of picking 1 q and 1 z?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3\/4 - 234*w**2 - 8160*w.\nAnswer: -3*w*(w + 40)*(w + 272)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1774625 is divided by 742.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153 = 19*u - 70*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(-32)*6712\/75510\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1341*b + 5371 = 2768*b - 1386*b for b.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 t when four letters picked without replacement from {t: 2, b: 1, d: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005716 rounded to 5 decimal places?\nAnswer: -0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 83*y - 18*y - 260 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) + (sqrt(12) - sqrt(768)*1))\/(sqrt(4) + sqrt(8)\/sqrt(2)*-1 - sqrt(100)*-1))**2.\nAnswer: 27\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kdvd when four letters picked without replacement from {k: 2, d: 8, v: 9}?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1220200111 + -10?\nAnswer: 1220200101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 718 + -502. Suppose -x = -52*z + 46*z. What is the greatest common factor of 288 and z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -11*49\/(-14) - (-30)\/(-12). Solve -21*h = -b*h - 90 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 12:22 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 8722?\nAnswer: 26166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 199 divide 26765746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ulmpppmmmpumpuu. What is prob of picking 1 p and 1 l?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 3*u - 2*u)*(-4*u + 5*u - 2*u)*(-1633 - 2059 + 313).\nAnswer: -3379*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + -1 - (25 - (-10 + 22))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*a - 151, 0 = 5*m - a + 831 - 49. Let k = 631\/4 + m. Let t = -2\/5 + 9\/10. What is the second biggest value in k, t, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*g = 147*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {f: 7, n: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.74 and -1.7?\nAnswer: -4.658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 666655 - 666655 - 1197*k**2 + 1268*k**3 + 180*k**2 wrt k?\nAnswer: 7608","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 8*r + 20. Let o = 8 - 2. Let n be t(o). Let y = -30 + n. Calculate the lowest common multiple of 14 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -11, 74, 5, -0.4, -18, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 14 - 10)*(-4 - 1 + 2)*(-1 + 7 + 1)*(0 - 2*q + 0).\nAnswer: -966*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26378\/7 + -3775. Which is smaller: q or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 11) to base 13\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2. Let y(t) = 24*t**2. Calculate y(s(r)).\nAnswer: 24*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -104.7146 rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/(sqrt(162)*2))**2.\nAnswer: 19\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h - 100*h**3 + 3*h - 4*h + 5*h to the form b*h + c + a*h**3 + g*h**2 and give a.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274*p**4\/3 + 448256*p**3\/3 + 7708378*p**2\/3 + 7471432*p\/3 + 70528 = 0. Calculate p.\nAnswer: -16, -1, -4\/137, 1653","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p + 6. Let s be -7*1\/(-7) - (-1 + 0). Let t be c(s). Solve -b = t*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1575 - -1670.9. Let d = 96 - n. Which is the nearest to 0.4? (a) d (b) -0.3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*h - 3*o - 29, -3*h + 27 = 3*o. Let x(i) be the first derivative of -i**4\/4 + 7*i**3\/3 + 7*i**2\/2 + 4*i - 3. Is x(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(364)\/(-2*sqrt(7)*2) - (sqrt(572) - (sqrt(572) - -1*sqrt(572))*-3 - sqrt(572) - sqrt(572))\/sqrt(11))*6.\nAnswer: -63*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 2312\/12 + 2 + (-5)\/(-15). Let z = 187 - l. Let i(k) = -3*k - 7. Calculate i(z).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2189.1063 months to millennia.\nAnswer: 0.182425525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104 and 507?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-26)\/(-195) + (-262)\/60 and -121\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 28, 64, 130, 238, 400?\nAnswer: 628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 + 34. Suppose -a*d - 25 = -89. Is 16 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 4dc?\nAnswer: 4d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nno when three letters picked without replacement from eonpxnxoon?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x - 1. Let b = -8 + 11. Let j(y) be the third derivative of -y**4\/12 + y**3\/6 + 463*y**2 - 2*y + 3. Determine b*j(q) + 2*r(q).\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 4 + 12. Solve -3*j - r*v + 13 = 0, v = 2*j + 5*v - 14 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15125\/12 not equal to 1261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 465*c - 1013 = -8453 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.05 - 0.25. What is the closest to 0.1 in k, -2, -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bp when two letters picked without replacement from {l: 7, r: 2, p: 5, b: 1, a: 3}?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 192446, 384901, 577356, 769805, 962242, 1154661, 1347056?\n\"Answer: -g**3 + 6*g**2 + 192444*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2465235, -2465038, -2464709, -2464248?\n\"Answer: 66*p**2 - p - 2465300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 52835370 to the nearest 100000.\nAnswer: 52800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 16 = 4*f, -f - 4*v - 3 = -13 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*v + 40*v + 28*v = -18*v. Solve v = -7*p - 745 + 710 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**35\/(q*q**(-2\/3))*q**(3\/16)*q*q\/(q**(-22\/3)*q) assuming q is positive.\nAnswer: q**(691\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 6*y**2 + 21*y + 10. What is c(-7)?\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*w - 41*w + 1 + 19*w - 19*w - 32*w + 177*w.\nAnswer: 81*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.103, 0.05, 3, 0.33?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214*n - 25123688 + 93748097 = 185*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (88\/33 + (-3752)\/804)\/(32\/34 + -1)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 547.0955 + -0.0955. Let z = 547.4 - m. Which is the closest to -0.5? (a) 1 (b) z (c) 2\/3 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/2*(-12)\/30. Sort 5, -3, a.\nAnswer: a, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-524)\/(-8) + 3\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 9:13 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1514213.73 rounded to the nearest one thousand?\nAnswer: 1514000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 5066*t - 5469. What is the units digit of n(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 274842, 274837, 274842, 274863, 274906, 274977, 275082, 275227?\n\"Answer: m**3 - m**2 - 9*m + 274851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 - 515960*p - 13310736080.\nAnswer: -5*(p + 51596)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x = -8*x. Let m be 8*1 + x\/4. Let i = 11 - m. What is the highest common divisor of 3 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f - 17. Give d(23).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32943?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/14 - -1*(-3)\/18.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 4*r + 3 + 2, 4*r - 5 = -5*h. Let p = 12 - h. Calculate the remainder when 31 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**4\/y)**(-1\/6)*y*y*y\/(y\/(y**(-13)\/y))*y**(-3\/4))**35 assuming y is positive.\nAnswer: y**(-1855\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4929*a + 9850*a - 4924*a. Let u(v) = 187*v - 2. Calculate u(c(x)).\nAnswer: -561*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2657655?\nAnswer: 3, 5, 7, 11, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 64303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 202 - 204. Which is the closest to -2? (a) 3 (b) g (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w**2. Let q(r) = r - 3. Let z(p) = -12*p + 34. Let b(m) = -68*q(m) - 6*z(m). What is j(b(s))?\nAnswer: -64*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 164 + 37. Let j = -121 + w. Let r = -41 + j. List the prime factors of r.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189*x + 58*x - 249*x + 1807 - 1807.\nAnswer: -380*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*x + 5 - 78*x - 106*x + 10 + 41*x.\nAnswer: -205*x + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 9*q = -18*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52198165.\nAnswer: 5, 10439633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 14088365.\nAnswer: -1\/2817673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 4) + 6 - (-4 + 17 - -3).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52035 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 330?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -1 + (-6 - (-4 + 1 + 1)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 693.305922 plus 429?\nAnswer: 1122.305922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 75 * 2.3.\nAnswer: 172.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -33*l**2 + l. Let m be c(-1). Let w = m - -61. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2038445 to the nearest 1000.\nAnswer: 2038000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1658015?\nAnswer: 5, 331603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1))**(-2\/21)\/((((r**0*r)\/r)\/r)\/r**0)*(r\/(r*(r\/r**(-2\/7))\/r))**(2\/5)\/(r**0*r*r\/((r\/(r*r**(2\/3))*r)\/r)) assuming r is positive.\nAnswer: r**(-59\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 372 divide 2483100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 - 22. Suppose 4*o + 13 + 3 = -s, -5*s - 3*o + 5 = 0. Suppose -4 = 3*n - s*n. Calculate the greatest common divisor of n and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -47, -128, -209, -290, -371, -452?\n\"Answer: -81*a + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.8 + 0.05216435.\nAnswer: 3.85216435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17980 and 380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o - 2262*o**2 - 2 + 5 + 142*o**2 - 2158*o**2.\nAnswer: -4278*o**2 - 2*o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*f + 3*g - 9, -2*f - 22 = -4*g. Let y = 0.1 + -0.04. Let n = -0.34 - y. What is the second smallest value in n, f, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2\/9 (b) 2\/3 (c) -2\/27 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -52 (base 8) to base 4\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(0 + -4)*-3)\/(-6).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 5*z**2 + 5*z + 5. Let h(u) = 33*u**3 - 3*u**2 - 2. Let d be h(2). Let f be d\/200 - 21\/4. Determine x(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**2)\/(j**(-5\/4)\/j))\/(j**(-1))**46 assuming j is positive.\nAnswer: j**(205\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 8. Suppose 3*g = 2*m + 1, -2*g + 7*g - b = 2*m. Suppose -54*r - 187 = 22*r - 643. What is the highest common divisor of g and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 - 4 - (-632 - (0 + 2)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*(q\/((q*q**(2\/15)\/q*q)\/q))\/q*q\/q**1)\/((q\/(q*q*q**(-7\/6)))\/(q*q*q\/(q*q*q**2)*q)) assuming q is positive.\nAnswer: q**(17\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2045756161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4*c = 0. Let o(k) = -8 - k + c*k - k. What is the units digit of o(-13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-2)*8990\/(-58)*(24\/(-15))\/(-4).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 5*c = -155. What is the second derivative of -5*g**2 + 21*g + 7*g**2 - c*g**2 wrt g?\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from ggqgqggggggggqg?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zpfdfp. Give prob of picking 1 f, 1 z, and 1 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 3174.36 (b) -4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*r - 20220 = 38*r. Suppose -36*i + 2696 = -32*i - 4*g, -5*i = -3*g - r. What are the prime factors of i?\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -388 (base 16) to base 14.\nAnswer: -488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 9*p - 5. What is r(9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*k - 2777 = 3463 for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 55930905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-4 + sqrt(52) + -1 - 4*(2 + sqrt(52))) + 5*((1*sqrt(312) - sqrt(312))*4)\/sqrt(6))**2.\nAnswer: -1274 - 312*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*s**2 - 4*s**2 - 3*s**2 + (0*s + 3*s - 4*s)*(s + 4 - 4) - 1137 + 1137 + 1678*s**2.\nAnswer: 1676*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177 + 193 = 4*r - 4*s, 3*s = -5*r - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -2772.\nAnswer: -2769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -339472*h**4 - 21*h**3 - 5978357.\nAnswer: -1357888*h**3 - 63*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-4) - 522\/(-116)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000073971293 rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1254108 - -315908. Round r to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 37008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1171 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k**2 - 2 + 2. Let j(f) = f**2 - f - 1. Let p(o) = o. Let y be p(-1). Let i(w) = -2*w**2 + w + 1. Let t(n) = y*j(n) - i(n). Calculate b(t(c)).\nAnswer: -3*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/2625 and -85\/252.\nAnswer: 31500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3789, 3796, 3797, 3786, 3757, 3704, 3621, 3502?\nAnswer: 3341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -233*j + 2957. Calculate w(13).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 92 and 40?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of 11*p**7\/5040 - 4*p**5\/15 - 24*p**2. Let q(z) be the third derivative of r(z). Let v(y) = -y. What is q(v(f))?\nAnswer: -11*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9531 + 9575. Solve 15*j = -89 + b for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40 + -38. Solve -2*g + 4*f = -10, f = -2*g + 7 - c for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h + 8806 = -8*h + 8*h. Which is bigger: h or -516?\nAnswer: -516","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3276359 litres to millilitres.\nAnswer: 327.6359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -128*f**2 + 77 - 71*f**2 - 75*f**2 + 37*f**2 + 38*f**2 with respect to f.\nAnswer: -398*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -1\/2 (b) -0.4 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 y when three letters picked without replacement from {d: 4, y: 6}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75957140 and 140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from imxiiyiiymvtxvmmm. Give prob of picking 1 v and 1 t.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, 21\/500, 2\/13, -122?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -0.2.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 8635, -5 in descending order.\nAnswer: 8635, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1*(-1941)\/15 + 76\/(-190).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2732.0403 months to decades.\nAnswer: 22.7670025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19.1 + 19. Suppose -6*g = -5*g - 29. Let b = -117\/4 + g. What is the nearest to b in -2, 3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*j - 54*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 4*i**5 - 668*i**4 + 18116*i**3 + 321212*i**2 - 18120*i - 320544 = 0.\nAnswer: -12, -1, 1, 53, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8202 + -1140084\/139. Let l be (-1368)\/(-2919)*(-39)\/351. Let j = l + q. What is the nearest to 2\/5 in 0.4, -1, j?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cncnccncccn. What is prob of picking 4 n?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4*x**2 + 9*x + 1. Give u(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) -1.6 (c) 0.08 (d) 1\/3 (e) -18 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3 + 36*f**2 - 96*f + 64.\nAnswer: -4*(f - 4)**2*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 87613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 354433, 354435, 354437?\nAnswer: 354439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45 - 75 + 55)*((0 + 2 - 1)*(l**2 + 11*l**2 - 3*l**2) + 5*l**2 - 3*l**2 + 2*l**2) + (0 + 2 + 0)*(-3*l - 2*l**2 + 3*l) - l**2 + 4*l**2 - 5*l**2.\nAnswer: 319*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 558 < 558?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 - (-32 - 7 - -71)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2338*n**2 - 11*n. Let x(k) = -781*k**2 + 4*k. Give -4*l(w) - 11*x(w).\nAnswer: -761*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - z + 6 = 0, -5*z - 15 + 24 = 4*x. What is the nearest to -1 in 3, -1\/8, x, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 18, p: 2}. What is prob of picking 1 y and 1 p?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - 2 - (-140)\/10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 5*b + 3. Let d = -5 + 1. Suppose a + 2*i = -6, 0*a - i = 2*a. What is the remainder when q(d) is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-9) - 19\/(-3). Let c(h) = -259 + 8*h**2 - 4*h - h**3 + 543 - 272. What is the tens digit of c(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/5 - 47319*x**2 + 473193*x\/5 - 236597\/5.\nAnswer: -(x - 1)**2*(x + 236597)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 344 - -10051?\nAnswer: 10435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3b2 (base 14) to base 15\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(70\/(-2800))\/((-2)\/(-4))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 170926 to the nearest 1000.\nAnswer: 171000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-2 - (-12 - -9)) + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-502)\/(-6) - (-3)\/9*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 232293293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 233481 to the nearest ten thousand.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 6:55 AM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*p**3 - 23*p**3 - 60*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0697482 minutes to days.\nAnswer: 0.00004843625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-29 - (-55 + 39)) + 77\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jqjvxqjjvqq. Give prob of sequence jj.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 992.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (603 + -602)\/(2\/(-18)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8254 = -3*u - t, 99*u - 97*u = -t + 5504. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**3 - 4*h**2 + 4. Let z(u) be the second derivative of -10*u - 1\/5*u**5 + 0*u**3 + 0 + 7\/2*u**2 - 7\/12*u**4. Give -7*q(v) + 4*z(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44 + -42. Let z = -3.03 + 0.03. Let j = -0.09 - -0.1. Which is the third biggest value? (a) z (b) g (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 divided by -491\nAnswer: -36\/491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 508, 11, -15 in increasing order.\nAnswer: -15, 11, 508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -109 - 1458048?\nAnswer: -1458156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -239, -5\/14, 2\/7, -3\/2 in descending order.\nAnswer: 3\/5, 2\/7, -5\/14, -3\/2, -239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/4 (b) -1\/9 (c) 4 (d) -232 (e) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -73*c - 1 + 43*c + 31*c. Let t be ((-3)\/(-2))\/((-3)\/6). Determine w(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/72 and -85\/13824.\nAnswer: 13824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -48 - 71586?\nAnswer: -715ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + u + 39. Let v = -15 + -13. Let r be v\/21 - 4\/(-3). What is the remainder when 153 is divided by s(r)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6150629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 7\/20 (c) -5236\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 16038 = 2*k, -26*m - 32046 = -4*k - 28*m. Is 10 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of y**5\/20 - 2*y**4\/3 + 2*y**3\/3 + 2*y**2 + y. Let m = 7 + 1. Is b(m) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2314498231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 1) + -3 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -74972 + 74965.0198. Let b = -7 - x. What is b rounded to three decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -479*u + 478*u = -1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -7*j + 29. Let x(d) = 3*d - 14. Let g(k) = -2*i(k) - 5*x(k). Let f be g(8). Let p(u) = u**3 - 4*u**2 - 4. What is p(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 + 67564328*f - 67564330.\nAnswer: 2*(f - 1)*(f + 33782165)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.31 (b) -2 (c) 0.154\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/15 of a day?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7330*-1208\nAnswer: 8854640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2*y = 3*y - 25, -2*i - 2 = -2*y. What is the second derivative of -4*n + i*n + 6*n - 3*n**2 wrt n?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38938711*w**3 + 151576920*w**2 wrt w.\nAnswer: -233632266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/31197 and -61\/24.\nAnswer: 249576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 329 + 646 - 4*s - 77 + 7*s.\nAnswer: 3*s + 898","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1 + (-6*-5*sqrt(2) - (1 + sqrt(200))).\nAnswer: 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*l - 15. Solve l*o - o = -20 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 7 + 16. Let a = -382 - -384. Factor c**a + c - 8*c + g*c.\nAnswer: c*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 36 = 2*x - 3*u, 10 = -5*u. Suppose x - 2 = -4*p. Let q = 26 + p. List the prime factors of q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014 plus -59636.3117?\nAnswer: -59636.2977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 66*x + 4995 = -65*x, -5*x = -4*j + 9955. List the prime factors of j.\nAnswer: 5, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -2. Suppose q = -420*v + 421*v - 50. Calculate the greatest common factor of 75 and v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 2 + 5*z**3 - 8.\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1600 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 816*u**3\/19 + 50*u**2\/19.\nAnswer: 2*u**2*(408*u + 25)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1012609 - 21383*m + 1012609 to the form l + b*m and give b.\nAnswer: -21383","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 5:57 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/(-3)*3*-1. Suppose z = -2*k - 4*u, 1 + 2 = k - 3*u. Let n be (0 - k - -509998) + -1. Round n to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226*z - 22669 = 224*z + 3*r, 5*z = 3*r + 56677. List the prime factors of z.\nAnswer: 2, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -4\/19*r**2 - 6\/19*r + 35 + 1\/19*r**4 + 10\/57*r**3. Factor a(n).\nAnswer: 2*(n - 1)*(n + 3)*(2*n + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100200202221102 (base 3) in base 7?\nAnswer: 61536644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 413, 410, 403, 392, 377, 358, 335?\nAnswer: 308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4398733685 to the nearest integer?\nAnswer: 66323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 17 - 7 = 0. Suppose m + j = 85. Suppose -68 - m = -3*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 11:24 PM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 171 - -124. Calculate the highest common factor of n and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/10*(-85)\/34?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-232)\/238 - 36\/(-306))*-203 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110 and 117927535.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w**2 + 13*w + 151. What is s(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 78688 - -1021308. Suppose -w = -x - 4*j, 3*x + j - 3299996 = -3*j. What is x rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (28\/(-6))\/((-2)\/(-129)). Let m be 1 + -1 - (3 - 2 - q). Let f = 534 + m. List the prime factors of f.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 - 12*x + 14. Let t be v(5). Let c = 213 - 213. Solve -3*z = -2*d - 12, -z + c + t = 5*d for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3 + 105498*c**2 + 18820060*c.\nAnswer: 2*c*(c + 179)*(c + 52570)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 824020.9 years to months.\nAnswer: 9888250.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76 and 1684551172.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*sqrt(208))**2 + (sqrt(208) - (-4 + sqrt(208)))**2*6 + sqrt(208)*4 + sqrt(208) + -5 + (sqrt(208) - ((sqrt(208)*-2*5)**2 - sqrt(208))).\nAnswer: 28*sqrt(13) + 46683","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vxwxswxwwxswwvsgx. What is prob of sequence vg?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of 0 + 0*a**5 + 0*a**6 + 0*a + 0*a**4 - 1\/42*a**7 + 7*a**2 - 5\/6*a**3. What is the first derivative of i(w) wrt w?\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2589.4686 months in decades?\nAnswer: 21.578905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 78980 divided by -4\nAnswer: -19745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*x - 43*x + 9 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (71 - 53) + 2 + -8 + -1 + 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/6 + (-6)\/(-9). Let r = x - 2. Suppose 7*f - 3*f - 17 = -3*w, -5*w + 2*f = 15. Sort -2, r, w in decreasing order.\nAnswer: w, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12574608 is divided by 598788.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -218*r - 11. Let f(w) = -437*w - 25. Determine 2*f(l) - 5*j(l).\nAnswer: 216*l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (388\/(-12222))\/((-2)\/6)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 5*d = -h + 24, -3*h + 4 = 2*d. Let l be (-6)\/(-4)*d\/(-2). Let f = 223 + -218. Solve j = l*k + 6*j, 2*k + 5*j + f = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1369149?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 483.036 to 1 dp.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 12. Let b(p) = -p - 1 - 3*p - 1. Is b(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2. Let r(o) be the third derivative of 23*o**5\/20 - 150*o**2 - 1. Calculate j(r(m)).\nAnswer: 4761*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-1\/5)*y)\/y**26*(y**(-24))**(-16\/5) assuming y is positive.\nAnswer: y**(263\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/10 + 9\/15. Let q(f) = 14*f. Let z be q(v). Solve -3*j + z + 1 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220*r = -217*r - 6, 0 = -d - 5*r + 105. Let n = -4 - -27. Calculate the remainder when d is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 15) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/7 equal to 159\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -39*h**2 - 350*h + 14. Let s be a(-9). Suppose -71 = -3*x - 5*p, 80 - 32 = 2*x + 3*p. Put x, s, 4, 2 in ascending order.\nAnswer: 2, 4, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 4\/7 (b) 3382 (c) -5 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6323 (base 7) in base 5?\nAnswer: -32342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3)\/g)**(-4\/3))**46 assuming g is positive.\nAnswer: g**(736\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/7 - 6\/7*l - 2\/7*l**2 = 0. What is l?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60800754.\nAnswer: 2, 3, 7, 151, 9587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -47, -71, -95?\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z - 9*z = -2*j + 8, 5*j = 9*z + 40 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 204 and 1173?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + 276 = 13*o. What is the remainder when 87 is divided by o?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 613*y. Let j(v) = 65048*v. What is j(d(s))?\nAnswer: 39874424*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 4*h + 2. Let o = -238 + 232. Give i(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hy when two letters picked without replacement from {i: 9, l: 2, y: 2, h: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 8*u**2 - 2*u - 1. Let l(g) = g**2 - 4*g - 1. Let b be l(4). Let s be y(b). Solve -4*x + s + 11 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(6\/(-13))*-2. Suppose 2*b = -w + 37, -3*b - 119 = -3*w - b. What is the highest common factor of o and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1619839483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 10*l + 78. Let n be p(-7). Find m such that -8*m**2 - 6*m**3 - 6*m**5 - m**5 + n*m + 7*m**4 + 5*m**5 + m**4 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -10*v + 6. Determine a(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 886189?\nAnswer: 886189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7\/4 (b) 0.3 (c) -1\/6 (d) 0.53 (e) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 15*w + 82. What is the tens digit of v(16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6084846 and 80328?\nAnswer: 24339384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -431*y - 58609. Calculate d(-136).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -2 - (-26 - -40)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 101777501 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (106\/4)\/((-12)\/(-24)). What is the greatest common divisor of l and 477?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77619071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1256 divided by -8\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 42 * -0.5.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 - 63 + 5*r**3 - r**2 + 3*r + 13*r - 13*r as v + a*r**3 + m*r**2 + s*r and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x + 4187 + 3304 = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -3. Solve 30 = w*h + 3*d, h - 35 = -2*h - 4*d for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -11\/3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/25 of a kilogram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 0. Let r = h - -1. Let i = r + 0. Is i at least -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 6131?\nAnswer: -6134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*w - 7 + 32, -2*d = -4*w - 14. What is the lowest common multiple of (-2)\/(-6) - 17\/(-3) and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14952720 is divided by 26?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/5 - -7 - 1. Is ((-222)\/t)\/(6\/(-9)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1145173441?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-10)*(4 - 19). Let k(x) = -x. Let w(y) = -2*y + 3*y + y + 4*y. Determine t*w(i) - 33*k(i).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29\/130 + 12\/13. Let q = -64 + 40. Find the common denominator of (-1)\/(-6)*909\/q and g.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -75 + 66 + (-1 - -1) + 15 + (20 - 32).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 25*c - 1)*(c**3 + 28 - 28).\nAnswer: -25*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 6*k**4 - 7*k**3 + 4*k**2 + 3*k + 3. Let c(b) = -12*b**4 + 15*b**3 - 8*b**2 - 5*b - 5. Let f(q) = 3*c(q) + 5*z(q). Factor f(s).\nAnswer: -2*s**2*(s - 1)*(3*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 8*l + 20. Let o be j(15). Let t = -137 + o. Solve m - 4*d - 17 = 0, -m + t*d + 17 = 4*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 71696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6643901 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 4\/175 (c) 0.3 (d) -177\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 674329968 a multiple of 1503?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/5 - (-126)\/35*1. Suppose -t*u = -m + 29 - 44, 20 = 5*m - u. Solve -m*b = -2*b - 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 27130.026 hours?\nAnswer: 1130.41775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and 250172541?\nAnswer: 250172541.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 - 21. Suppose 0 = -2*x - 3 - c. Let i(g) = 17*g**3 + 8*g - 8. Let h(n) = -6*n**3 - 3*n + 3. Calculate x*h(b) - 3*i(b).\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 238452800 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 16 + 5*y**3)*(-1820 + 809 + 2696).\nAnswer: 8425*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -105*f + 445. Give q(4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1192072 is divided by 4638.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*c - 0*c + 117. Suppose 0 = -4*l - 0*l + 48. Let o = l - c. Solve o*y + 3 = -6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 0.48 (c) 0.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 49*t**3\/3 - 58*t - 119. Find the first derivative of g(h) wrt h.\nAnswer: 98*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - (0 - 6)) + (-789875)\/(-25) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10088*h*u**3 - 3*h*u - 2*h + 19*u**3 + 5*u**2 - 4224 wrt u?\nAnswer: -60528*h + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -179\/846 + -1\/94. Which is the third smallest value? (a) -11\/2 (b) -3\/7 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8581347.6 to the nearest one thousand.\nAnswer: 8581000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmmmmm. Give prob of picking 2 m.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -20001020110212 (base 3) in base 2?\nAnswer: -1100010000011011111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 3, -0.025, 5, -42, -5 in decreasing order.\nAnswer: 5, 3, 0.5, -0.025, -5, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1443809, 1443813, 1443817, 1443821?\n\"Answer: 4*k + 1443805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5*s**2 + 1723 - 6*s**2 - 1722. Let b(n) = n**3 + 3*n**2 - 2. Calculate 2*b(d) + 2*m(d).\nAnswer: 2*d**3 + 4*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 25*d + 13. Let m(k) = 2*k + 1. Let y(a) = -3*m(a) + u(a). Let g(x) = -5*x + 44 - 27 - 20 - x. Determine -7*g(o) - 2*y(o).\nAnswer: 4*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -176500 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 4.5. Let p = 1\/235 + 701\/940. Sort p, -3, w, 0.2.\nAnswer: -3, w, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = h + 2*h. Let m = -3 + h. Suppose -k = -x - 4*k - m, -16 = 4*k. Solve x*w - 3 + 0 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 91\/13 - (3 - 1). Solve -l*h - 2*y - 17 = 0, -5*h + 2*y = -0*h + 33 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26156, -26144, -26118, -26072, -26000, -25896, -25754, -25568?\nAnswer: -25332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 1, -0.006, 4\/5, -1?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 413 a factor of 1957620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffzzh. What is prob of picking 2 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -962*m**2 + 2*m**3 + 962*m**2 - 52*m.\nAnswer: 2*m**3 - 52*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*b**2 - 152*b**2 - 90*b**3 - 273*b**3 - 169*b**2 + 490*b**2.\nAnswer: -363*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4838 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 306402 and 1699638?\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - ((-4 - -17) + 2 + -5 - (-718 + 710))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + (13 - (-6 + 8))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3141221, 3141225, 3141229, 3141233, 3141237, 3141241?\n\"Answer: 4*w + 3141217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 10, s: 4}. What is prob of sequence yyss?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(-2)\/(-8)*-1. Suppose 7*t - 12 = 4*t. Suppose 0*d + t*d = -4*v + 16, -11 = d - 2*v. Put -5, d, k in increasing order.\nAnswer: -5, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 i when two letters picked without replacement from {f: 1, i: 3, o: 4, h: 5}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*b**2 + 2747644*b + 2747608.\nAnswer: 4*(b + 1)*(9*b + 686902)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 159\/2 in 9, -7, -16\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 3601.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1621815 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/18*-4 + 64\/36. Sort -2, c, 4 in descending order.\nAnswer: 4, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*b**3*l**4 + 28*b**3*l**3 - 2*b**3*l**2 + 3*b**3 + 9*b**2*l + 5*b**2 wrt l.\nAnswer: -192*b**3*l + 168*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(12\/(-28)))\/((-4827)\/14481)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156126 + 312244 - 156118 - v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3124 (base 5) in base 2?\nAnswer: -110011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*l, -k + 28 = 3*l - 2*l. Calculate the remainder when 128 is divided by k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-21) - 832\/78?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -296020*b + 9 - 10 + 1.\nAnswer: -296020*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 2*b. Suppose -l - 30 = -2*i + 4*l, 0 = 5*i - l - 98. Suppose -i = -b*u - u. What is the remainder when 38 is divided by u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1823 - -1150. Let k = -2978.567 + l. Let p = k + -0.133. What is p rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) + (sqrt(70) + -3*sqrt(70))*6 + sqrt(70) + -6*sqrt(70)*-1)\/((sqrt(160) - (sqrt(160)*1 - sqrt(160)))*4*4).\nAnswer: -sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((5 - 2) + 4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -1\/13 (c) 7 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4*t**3 - 340*t**2 + 30*t + 2221. Determine h(-85).\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 15)*(-1 + 4 + 0)*(4*o**2 - 5*o**2 + 0*o**2) to the form i*o**2 + z*o + y and give i.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5728573.\nAnswer: 29, 251, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or -3\/31?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 - 2802*o + 50112.\nAnswer: (o - 2784)*(o - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41414 is divided by 41381.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 2164 divide 84396000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)\/sqrt(5) + sqrt(36))\/sqrt(4))\/sqrt(3).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254*x**2 + 5*x - 2 - 42*x**2 - 5 - 8.\nAnswer: 212*x**2 + 5*x - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103003 (base 4) to base 14.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 107047 - 1?\nAnswer: 107046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03348 + -672.19.\nAnswer: -672.22348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (34 + 44*s - 34)*(0*s**2 + 3*s**2 + 4*s**2)*(-5 + 5 + 14*s) in the form q*s + j*s**4 + p*s**2 + y*s**3 + o and give j.\nAnswer: 4312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -40 (b) 3 (c) 2 (d) 5 (e) -5 (f) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -0.0753?\nAnswer: -0.1753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -14*g**4\/3 - 130*g**3\/9 - 32*g**2\/3 - 8*g\/9 = 0.\nAnswer: -2, -1, -2\/21, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.3 (b) -164498 (c) 3 (d) 0 (e) 4 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 335071.3 nanograms to tonnes.\nAnswer: 0.0000000003350713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*t**2 - t**3 - 3 - 6*t + 2*t - 2*t**4 - 38*t**2 + 4*t as s + v*t**3 + u*t**2 + q*t**4 + p*t and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 3, 5, -5, -895 in decreasing order.\nAnswer: 21, 5, 3, -5, -895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(208))*-4 + sqrt(208) + 4 + sqrt(208) + sqrt(208) + 2 + sqrt(208))**2.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*b + 4*b + 13*b - 15571 + 15599.\nAnswer: -3*b + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.6 and 0.548322.\nAnswer: 1.4256372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-11) + ((-75)\/(-25))\/((-2574)\/954)?\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g*g*g**(1\/3)*g*g))**(-44)*(g**0)**(-3) assuming g is positive.\nAnswer: g**(572\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14)\/46 + 3\/18. Let g = 2\/69 - z. Suppose -2*y - 2*y + 2*n - 4 = 0, -y = -3*n + 1. Which is smaller: y or g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 452 = 5*d + 177. Suppose -5*g + 208 = 4*z, 0 = -g - 3*z + 6*z + 53. Suppose 2*s + 0 - g = 0. What is the greatest common divisor of s and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 5737750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 10*z - 380. Let g(r) = 3*r + 1. What is c(v) - 4*g(v)?\nAnswer: -2*v - 384","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 31415 = 4*r - 31309, 0 = -z - 4*r - 46 for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ifi when three letters picked without replacement from iiiiiififififiifii?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1296\/594)\/(1\/(-11)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3304 + -3303. Sort -9, k, -2.\nAnswer: -9, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (11*x**2 - 11*x**2 - 4*x**2)*(-4 - 2 + 3)*(2 - 3 + 3).\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ns when two letters picked without replacement from {i: 2, s: 1, v: 6, n: 2, j: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*q + 26 = 2*i, 3 = -3*q + 5*i. Suppose 3*o = q*o - 23. Let v = o + -23. Solve -w + 2*w + 3 = v for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 0)*(-2*n + 0*n + n) + n + 0*n + 0*n - 150 - 674*n - 455*n - 592*n + 150 as y*n + x and give y.\nAnswer: -1719","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 42293.8199 less than 0.056?\nAnswer: -42293.7639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 + 43. Let v(i) be the second derivative of 2\/15*i**6 + 0*i**5 + 4*i + 0 + 0*i**4 + 2\/3*i**3 + l*i**2. Find the second derivative of v(y) wrt y.\nAnswer: 48*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.278866199 to 2 decimal places.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h**2 + 4*h**2 - 4*h**2 - 2*h**2. Let t(x) = 2 - x - 2 + 3*x. Give t(p(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 97782 and 3940842.\nAnswer: 2274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -36 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (0 - -2) - (-11 - -9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -7\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 4*r - 5. Let d be k(-9). Let n = d + 79. List the prime factors of n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11700680 a multiple of 215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2003 + -1127. Suppose 0 = 5*t + 3*u - 4382, 0 = -0*t - t - u + z. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c + 18*c + 2*c)*(-134*c + 33*c**3 + 134*c).\nAnswer: 495*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.03 - -0.53. Let l = -0.5 + d. Sort -3, l, -0.2 in ascending order.\nAnswer: -3, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b + 12. Let z(s) = 8*s - 36. Suppose -49*k + 80 - 222 = 152. Determine k*z(t) - 17*g(t).\nAnswer: 3*t + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.18 in 3, 2\/3, 15, 18, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4 = 2*a, 0*l + 4*l = -a + 12. What is the units digit of l\/8 - 3\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-423)\/(-18) + (18 + -29 - 10).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -18 - 1\/8*y**4 - 1\/2*y**3 + 3\/2*y + 1\/4*y**2. Factor w(k).\nAnswer: -(k - 1)*(k + 1)*(k + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*k + 3*f, 3*f + 33 = 4*k - 2*f. Let r be 4\/3*3 - k. Is 15 a factor of (10\/4)\/(r\/24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1333423151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 90081 = -j, 0 = -21*c + 26*c + j + 112601. What is c rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 12*a - 84. Let n(t) = t**3 - 7*t**2 + 10*t + 7. Let i be n(5). Let x be m(i). Solve 3*w + 11 + 1 = x for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108696*a + 1 = -108693*a - 8*g, 0 = -g + 1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 1 - 19. Let t be (12\/9)\/((-4)\/j). Let z be 9305 + -2 - t\/(-2). What is z rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3540.314um to nanometers.\nAnswer: 3540314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**2 + 3*x - 6. What are the prime factors of w(-5)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1022857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 236, -156, -4 in descending order.\nAnswer: 236, 2, 0, -4, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93663.84 centuries to months.\nAnswer: 112396608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43569*m**5 + 31*m**4*y**3 - 5*m**2*y**3 - 236*m**2*y + 3*m*y**2 - 70*m + 2 wrt m?\nAnswer: 2614140*m**2 + 744*m*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 2, -92, -3.\nAnswer: -92, -5, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -253861, 3, 5, 0 in decreasing order.\nAnswer: 5, 3, 2, 0, -253861","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 0.169?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/(3*sqrt(3)*4).\nAnswer: sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((r**29\/r)\/r*r)\/r)\/r)**(-44))**30 assuming r is positive.\nAnswer: r**(-34320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 174, 2\/9, -0.5 in increasing order.\nAnswer: -0.5, 2\/9, 174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.86 - -4.04. Let p = v - 6.90000725. What is p rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19960 = -10*d + 2450. Calculate the greatest common divisor of 27 and d.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/95, 4611, 2, 2\/3?\nAnswer: 4611","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n. Let t(w) = -3*w. Let p(z) = z**3 + 7*z**2 - 2*z - 11. Let j be p(-7). Let u(k) = -3*k. Let x(s) = j*u(s) - 2*t(s). Calculate x(o(c)).\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i - 1368 = -25*i - 3*i + 72*i for i.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 4*j**2 - 1950*j + 13596. What is u(7)?\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v + 7. Let b be a(-11). Sort b, 4, 2 in ascending order.\nAnswer: b, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -395, -466, -367, -14, 677, 1790, 3409?\nAnswer: 5618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*h - 52 = 0, 37 = -17*o + 19*o + 2*h - 49 for o.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mia. Give prob of picking 1 i and 1 m.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t + 1. Suppose 12*k = 14*k. Let z be x(k). Solve 3 = -2*h + z for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -9. Let f be 2 - (7 - (c - -4)). Let s = 12 + f. What is the least common multiple of 8 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130335791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52775008?\nAnswer: 2, 11, 13, 19, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 55*(546\/(-77))\/(-39)*1\/1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -4*c - 2055, 3*c = -3*x - 1366 - 170. Let v be (-7)\/7*(-1 + c). Suppose -3*t + v = -t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 162, 202, 242, 282?\n\"Answer: 40*v + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 14 - 13. Let t be (q + 7)*(-5)\/2. Suppose 15 = t*m - c + 5, 3*m - 2*c = 13. Solve -4*s + 4 = 4*o, 0 = 3*s + 3*o + o + m for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 11:04 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001086 rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 104 and 20?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 3*x. Let c(r) = 8*r**2 + 115*r + 2. What is -c(j) + 5*y(j)?\nAnswer: -3*j**2 - 130*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15.744 - -16. Let r = x + -0.156. Let z = 0.6 + 1.4. What is the nearest to -1\/3 in -2\/29, z, r?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 5:01 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 40373.49 litres in millilitres?\nAnswer: 40373490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**3 - x + 1. Let b be y(1). Suppose 0 = -4*o - 4*f, 12 = b*o + o - 2*f. Let p(k) = -k - 2. Let g(d) = d. Let q(m) = -g(m) + p(m). Give q(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1379639 times -21\nAnswer: 28972419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/2 - 317*h\/2 + 1830.\nAnswer: (h - 305)*(h - 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29544 by -6.\nAnswer: 4924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*(-52)\/(-1001)*11.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49374 is divided by 2537?\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8303\/4 - -2088. Let o(y) = -y**3 - y**2 + y + 6. Let x be o(0). What is the common denominator of r and (8\/x)\/4 + 665\/462?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -2\/3 (b) -20 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*q**4 + 1031*q - 1031*q + (2*q - 3*q + 0*q)*(-24*q**3 + 6*q**3 + 2*q**3) to o*q**2 + t*q + f + x*q**3 + p*q**4 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2 = -5. Let t be s\/(-5) - (-17)\/5. Let b be (-5)\/(-10) - (-18)\/t. Solve -3*a + 2 = b for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0103706 and 2.\nAnswer: -0.0207412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -m**6\/125 + 2*m**5\/25 - 3*m**4\/10 + 8*m**3\/15 - 12*m**2\/25 + 31*m. Suppose v(n) = 0. Calculate n.\nAnswer: 2\/3, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -3*h + b + 6, 41*b + 106 = -12*b for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3 - 37420*y**2 - 132215392*y - 100852991168.\nAnswer: 4*(y - 12227)*(y + 1436)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3854\/3 > 1284?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 + -23.3. Let y = r - -23.5. Let b = -0.99 - -1. What is the smallest value in y, b, 0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 44.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, -1\/6, 0.69?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 - 11*y - 22. Give v(9).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 540992?\nAnswer: 2, 79, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -68*f**3 - 20748*f**2 - 2440*f.\nAnswer: -4*f*(f + 305)*(17*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 6) to base 2.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence woo when three letters picked without replacement from {w: 1, n: 1, r: 1, e: 1, y: 1, o: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 3. Suppose -470 = -5*m + 2*m - 4*l, -2*l = t*m - 472. Suppose 0 = -i + m + 70. Round i to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 16735, 33604, 50473, 67342, 84211, 101080?\n\"Answer: 16869*b - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 7*a)*(22*a + 4 - 8 - 25*a).\nAnswer: -21*a**2 - 28*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -205 - -107. Is -99 greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52*w**3 + 28*w**2 + w**4 - 16*w**2 - 14*w**2 to x*w**3 + z + c*w + l*w**2 + t*w**4 and give x.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 9 + 5 + (-10 + 0 - 2)*(4 - 3 - 3))*(2*x + 0*x + 2*x).\nAnswer: 140*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -3.9196089.\nAnswer: 1.95980445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 8 = x, -x + 3*x - 31 = -5*i. Find the second derivative of -3*m**3 + m + 0*m**3 - 8*m**x - 19*m wrt m.\nAnswer: -66*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -8*j + 80, -33*b - 24 = -2*j + 41*b + 44*b - 120*b for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96, -99, -104, -111, -120?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 5*l**2 + 2\/5*l**5 - 1\/2*l**4 - 2*l**3 + 13 - 4*l. Factor w(h).\nAnswer: 2*(h - 1)**3*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4875 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 1192312.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 107 + -97. Let u be 34*(-6)\/9*-3. Suppose a*b - 6*b = u. List the prime factors of b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 - 6*a**2 + 3*a + 26*a**3 - 2*a**2 - 23*a**3.\nAnswer: 3*a*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + (3*(1 + sqrt(11)) - (sqrt(1100) + -1))**2).\nAnswer: -2208 + 224*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 3*b + 8, -4*o + 10 - 2 = b. Let x be b*((-4)\/8 - 0). Suppose -2*h = x, -5*v + 5*h + 13 = -97. What is the smallest common multiple of 16 and v?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l**3 - 6*l**2 + 4. Let t be f(-2). Suppose t*j - 237 - 339 = 4*a, 723 = 5*j - 2*a. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 501 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 4, -7, -9 in ascending order.\nAnswer: -9, -7, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-6))\/(65\/117). Suppose 4*s + 15 = -1, -12 = -3*x + 3*s. Suppose x = 3*b + b + 4. Is b at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 72 = -2*p. Let c = 28 + p. Suppose -4*d = -2*o + 156, 300 = 9*o - 5*o - c*d. Calculate the highest common divisor of 48 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1 + (4 - 1 - 1)*(-6 + 3 + 1) + 1 - 1 - 4)*(0 - 2*r**2 + 0).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xeexxeeeeeeexxxexxx. Give prob of picking 3 e.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of 13*d**5 - 12*d**2 - 7603*d - 7050. What is the derivative of n(v) wrt v?\nAnswer: 260*v**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 123\nAnswer: 4\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*o - 0*o + 4*m, 5*o = 4*m - 6. Let k = -0.03 - 0.77. What is the biggest value in o, -4, k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 1 + 3 - -4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 389 = -53. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3816 + 3840. What is the greatest common divisor of 6096 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2432 and 380?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-903)\/(-1075)*25\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/3))**(-5\/11))**(2\/5)*(y**(-2\/3)*y**(1\/5))**(-32) assuming y is positive.\nAnswer: y**(818\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -30. Let r be (-1)\/(0 - (-4)\/h). Let l be (-1)\/2 - -1 - 0. Which is the third biggest value? (a) 0 (b) r (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -2422 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2072 is divided by 1179?\nAnswer: 893","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - -6 - (1 - -13). Let g be (-11)\/55 + (-722)\/a. Let o = 135 - g. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 36*x**2 + 49*x + 3411. Give n(-34).\nAnswer: -567","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -4 - 4*m**2 + 2*m + 40 + 3*m**2. Let u be v(8). Let s be -1*(-32)\/u*-12. Calculate the highest common divisor of s and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 w when three letters picked without replacement from {u: 3, w: 4, z: 3, d: 4, q: 2}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 u when three letters picked without replacement from {q: 1, d: 2, u: 4, j: 1, f: 2, p: 4}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 8*r**2 + 4*r + 5. Let i be g(5). Let c = -29 - i. List the prime factors of c.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 10. Let i(p) = -1. Let y(l) = i(l) - r(l). Let h(w) be the first derivative of y(w). Let d(f) = f + f - 5*f. Calculate h(d(o)).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 121861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 99963\/25 - 3998. Let f = h + -3\/25. Suppose f*m**3 + 0*m + 0 + 0*m**2 = 0. What is m?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1035 - 0.6035. Which is the closest to 8? (a) -0.2 (b) z (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**4 + 72*t**3 + 164*t**2 - 912*t - 1008 = 0.\nAnswer: -14, -6, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -227 + 0.442.\nAnswer: -226.558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1552057?\nAnswer: 13, 119389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1538 is divided by 154?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 6*i - 41. Is i\/50 + 21236\/40 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(-20)*(l*l\/((l**(7\/3)\/l)\/l))\/l*l\/l**(5\/8)*l\/(l**15\/l)*l assuming l is positive.\nAnswer: l**(241\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(7) - (1 + sqrt(1008)) - (1 + (sqrt(7) - sqrt(63))**2)).\nAnswer: 44*sqrt(7) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 3. Suppose 2*g = -3*c + 1997, -g - 3*g + 3*c + 3967 = m. Suppose 0 = -5*a + 15, 4*l + a = -a - g. What is l rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -18*z**2 - 1289*z + 5469. Give f(4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2 - 8*x + 4. Let f(p) = 2*p**2 + p + 18. Let a(n) = 4*n**2 - 6*n + 21. Let z(l) = -a(l) + f(l). Give -2*k(b) - 3*z(b).\nAnswer: 2*b**2 - 5*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + 371769.6218.\nAnswer: 371767.6218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.027761775 less than -312?\nAnswer: -329.027761775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21678550 to the nearest integer?\nAnswer: 4656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4 + 104*z**3 + 972*z**2 - 10904*z - 11774.\nAnswer: 2*(z - 7)*(z + 1)*(z + 29)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*o + 4 = -u, -5*o = -7*u - 28. Factor 0*i + 2\/3*i**2 - 5\/3*i**3 - 1\/3*i**5 + o + 4\/3*i**4.\nAnswer: -i**2*(i - 2)*(i - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.4654*156\nAnswer: 540.6024","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*f - 62. Let y = f + 44. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3828809496 to the power of 1\/2, to the nearest integer?\nAnswer: 61877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/36)\/((-8)\/210). Let y be ((-4)\/7 - (-150)\/(-252)) + 2. Let h = d + y. What is the common denominator of h and 97\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.06, 2\/9, 1924, 2, -8?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5*c - 45 = 0, 3*s + 4*c - 6*c = 22. Suppose -12 = -s*o - l, -2 = -3*o + 2*l + 7. Solve -13 + 10 = -o*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 3*n - 125. Suppose -n = -4*r + 47. Solve -5*f + r = -3*u - u, -4*f - 4*u = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1401699 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 3 = r. Let d = -25 - -25. Suppose r*o + 3*o - 210 = d. Does 9 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 6:14 PM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 7*k - 5. Let w(p) = 8*p - 5. Give 6*t(g) - 5*w(g).\nAnswer: 2*g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*o - 7. Let n be (o - -8)*(-10)\/(-8). Let q = 4 - 8. Sort n, q, -1\/2 in descending order.\nAnswer: n, -1\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 5:40 PM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) - (-3 + sqrt(720) + -3))*-2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167*r + 164*r = -135. What is the units digit of (-16)\/120 + 1986\/r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65111025?\nAnswer: 3, 5, 7, 124021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9*(-4)\/2 + -1. Let h be -2 - u\/1 - -3. Solve -3*c + 7*c = -2*z + h, z - 5 = -c for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 650 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -17, -0.1, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13022 (base 4) to base 2.\nAnswer: -111001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -2551064.6?\nAnswer: -12755323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 4*w**4 - 2068*w**3 - 33820*w**2 - 155276*w - 191880 = 0.\nAnswer: -9, -5, -2, 533","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 10. Let t = -16 + 12. What is the nearest to c in t, -3\/4, -1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64788610 rounded to the nearest 10000?\nAnswer: 64790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1119356 and 196?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*g = 7*g + 812 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1732 - 986. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (11\/3)\/(2\/90). Let c be 2622\/69 - (11 + 12). What is the highest common divisor of r and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmymmmmymymy. Give prob of picking 1 y and 1 m.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 10:53 PM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37953183.\nAnswer: 3, 743, 17027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 64911000 to the nearest one hundred thousand.\nAnswer: 64900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2368715 to the power of 1\/3, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -5) + -4 - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.05358, -9.9, -1?\nAnswer: -9.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 6293.\nAnswer: 11\/6293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 688 = -43*f, -3*z = 4*f - 188 + 124 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a**3 - 17*a**2 + 33. Let w(n) = -13*n**3 - 69*n**2 - n + 132. Let m(d) = 9*q(d) - 2*w(d). Let o be m(-15). Solve 6 = -o*k + k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 505401 - 222?\nAnswer: 505135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 9. Let f = -4 + w. Suppose 60 = 3*c - 3*j, 5*c - c = 2*j + 76. Solve -f*y + 2*i = 0, 0*y - 3*y = 4*i - c for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, b: 5, f: 3, o: 1, p: 1}. What is prob of picking 1 b, 1 f, and 1 c?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/55, 1, -3\/7, -5, -2 in increasing order.\nAnswer: -5, -2, -3\/7, -2\/55, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -5*k + 55, 5*p - 137 - 225 = 4*k. Find the third derivative of 2*b**4 + 5500*b**3 + p*b**2 - 5502*b**3 - 12*b**2 wrt b.\nAnswer: 48*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - sqrt(176)\/sqrt(4)) + -1 + sqrt(11) + 0)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -2 (c) -71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g + 9 = 43. Find the third derivative of -55*q**g + 135*q**2 - 70*q**5 - 57*q**2 wrt q.\nAnswer: -4200*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -396 less than -0.01?\nAnswer: 395.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3271032, -2, -50 in descending order.\nAnswer: 3271032, -2, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-25)\/(1650\/(-18)))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-117*a + 118*a + 31*a**3 - a**3)*(-75 - 49 + 27) + (-3*a + 3*a + 2*a)*(6*a**2 - 3*a**2 - 5*a**2).\nAnswer: -2914*a**3 - 97*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1222 - 1100?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o = -10*o + 3*h, -3*o + 14 = -5*h. Let b = -2 - -11. Suppose -o*g - 390 = -b*g. List the prime factors of g.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*p**6 + 17*p**4 + p**2 - 58*p + 2?\nAnswer: -1320*p**3 + 408*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 610*p - 14904. Calculate j(-24).\nAnswer: -840","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 101?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32*o**5 - 7*o**4 - 13*o**2 + 16.\nAnswer: 1920*o**2 - 168*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99061 is divided by 351.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 947063\/76 - 12461. Let j = 2\/19 - i. Which is the closest to 3? (a) j (b) 1\/8 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 y when two letters picked without replacement from {y: 1, t: 4, c: 4, q: 3, n: 1, a: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 17 - 7 = 0. Suppose 4*g = -3*n - a, 4*g = g - 5*n - 20. Let x be 3\/(-4) + (-6)\/96*4. Sort 5, g, x, 4.\nAnswer: x, g, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + w**2 + w**3 - 7*w**2 - 7 + 2 in the form f*w + o*w**3 + b*w**2 + v and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i**2 + 6*i. Let m(t) = -38 - 38 + 116 - t - 40. What is s(m(d))?\nAnswer: 4*d**2 - 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259918696 is divided by 22?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 2:13 PM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -109*t**2 - 2*t + 119 wrt t?\nAnswer: -218*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25.316 * 41100.\nAnswer: 1040487.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44 + -27. Suppose -6*d = -8*d - 8. Let t = 734 - 737. Which is the second smallest value? (a) t (b) d (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6734 + -6734. Solve l = -5*d + g + 5, d + d = -g - 5 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 7) in base 9?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 1035603.\nAnswer: -1\/345201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 162856?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 2 + 12 + -9\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*h - 8, 2*h + 1 + 1 = 4*u. Suppose 26*f - 69 = -667. Sort h, f, 3\/4.\nAnswer: f, h, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4267 + -26.4633. Let q = 5868664794.88998851 - 5868664768. Let i = q + j. Round i to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, g: 3, v: 10}. Give prob of sequence wv.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from {w: 5, t: 15}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y\/((y**(2\/19)\/y)\/y*y)))\/y**2)**(-43))**(2\/31) assuming y is positive.\nAnswer: y**(4730\/589)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-one halves of a kilogram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 17*n**2 - 4*n. Let i be r(-17). Let f = -66 + i. Let y(c) = 2*c**2 - 4*c + 3. Let v be y(2). Solve -s - f = v for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -3*a**3 + 258*a**2 + 7455*a + 7194 = 0.\nAnswer: -22, -1, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-63)\/6*(-8)\/6. Let n = 32 - 10. Let f = n - g. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -20702959, -20702969, -20702985, -20703007, -20703035, -20703069?\n\"Answer: -3*w**2 - w - 20702955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15400? (a) -5 (b) 1\/3 (c) 0.03 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1446*s - 18518*s - 27894*s + 7869*s in the form w*s + b and give w.\nAnswer: -39989","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8071101 or 8071111?\nAnswer: 8071111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/(-14) + (1 - 2) - 5.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5401427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 x when three letters picked without replacement from {a: 1, x: 2, n: 4, t: 2, p: 1, j: 4}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, d: 2, v: 2, c: 1, x: 2, s: 4}. Give prob of picking 1 d and 1 m.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*l + 129*l = -10. Suppose -4*g = -r - 704, -883 = -l*g + 3*r - r. List the prime factors of g.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b - 5*b = 0, -2*b - 200 = -2*l - 210 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -27766, -55290, -82812, -110332, -137850, -165366, -192880?\n\"Answer: z**2 - 27527*z - 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-14) - (40\/(-56) - 1). Find the second derivative of 439*d - 29*d**q - 193*d - 202*d wrt d.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1004\/(-1008))\/(44\/(-33)). Let k = o + 1\/336. Find g, given that 0 + 3\/2*g - k*g**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7440810*x*y**3 - 33*x + 3*y**4 + 597217 with respect to y.\nAnswer: 22322430*x*y**2 + 12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2. Let j(r) be the second derivative of 41*r**4\/12 - 52*r - 2. Determine n(j(x)).\nAnswer: 1681*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 12:47 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 2*l = -1622 + 1662, 3*y + 0*l - 48 = -3*l + l for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 8*b - 40. Let j be (2\/4)\/(9\/306). Suppose -39 = -v + j. Calculate the greatest common factor of b and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 + 110. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + (-3)\/(-9))*9. Let p(l) = -l**3 + 3*l**2 - l + 3. Let f be p(n). Suppose 2 = -4*b + i, 4*i + f = -4*b - 12. Which is greater: 2\/3 or b?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -469*y**4 - 4*y**3 - 256*y**2 - 2. Let c(x) = 2*x**4 - x**3 - x**2. Let i(r) = 4*c(r) - w(r). Find the third derivative of i(b) wrt b.\nAnswer: 11448*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3\/7)*t*t**1)\/(t**2*t*t*(((t\/((t\/(t*t*t**3)*t)\/t))\/t*t*t)\/t)\/t)*(((t**(-3\/7)\/t)\/t)\/t**(-1\/7))\/(t**(2\/7)*t**(-4)\/t*t) assuming t is positive.\nAnswer: t**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tn when two letters picked without replacement from fnnntfngfff?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -12. Let u = 270 + -268. What is the third derivative of 33*o**4 - 5*o**4 + 19*o**u - 13*o**d wrt o?\nAnswer: 360*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3960000 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 5*m + 10. Let y be u(12). Let f = y - 84. Let j(k) = -f*k**2 - 2 + 12*k**2 + 0 + 1. Determine j(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*s = -50*s - 18990. Does 10 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nz when two letters picked without replacement from {v: 1, e: 3, o: 3, n: 2, q: 1, z: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a + 5 = a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 745 = 745?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -11001001111?\nAnswer: 11001001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/(10\/(-24296)) - -12*3\/(-18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6194 - -6196. Solve 4*a - 5*v + 35 - 37 = 0, -v - f = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000110 (base 2) to base 5.\nAnswer: 1243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18957213 and 102573?\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r - 12. Let b be k(-12). Suppose -i + 2*t = b, 3*i - i - 3*t = 1. Let p(y) = -4*y + 196. Let f be p(48). Solve -i*c = -0*c + f for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + 1. Let o(j) = j + k*j + 0*j. Let u(c) = -c**2. Determine u(o(a)).\nAnswer: -256*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -14*j + 1. Suppose 0 = -2*o - 2*s + 7 - j, 10 = 5*s. Let u be (6*14\/21)\/(o\/20). What is the highest common factor of 20 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (429\/(-2))\/(1476 + -1465)?\nAnswer: -39\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 15 = 3*g - 0, 18*q - 17*q = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 534 - 446. Let z = -146 - w. Suppose 5*a = -2*x - 2*x + 101, -4*x = 3*a - z. Calculate the remainder when x is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15170 is divided by 3789.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -2, -4, 3 in descending order.\nAnswer: 13, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -128 + 146. What is the remainder when m is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiijwiwwiwiiwj. What is prob of sequence wjw?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 8 - 2)*(1 - 4 + 1) + (5 - 1 - 6)*(-3 + 3 + 2))*(-1 - j + 1).\nAnswer: 14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-72)\/138 - 2\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of j**3\/3 - 15*j**2\/2 + 23*j - 7048. Calculate n(12).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-4))\/((-4)\/(-16))*(-80)\/1680.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -278812276, -278812274, -278812272, -278812270?\nAnswer: -278812268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 108973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 4*j + 15 = -9, v - 3*j + 14 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1539 + -1533. Let l(j) be the second derivative of 3\/10*j**5 + 0*j**2 - 7\/60*j**f - 1\/8*j**4 + 0 - 1\/6*j**3 - 6*j. Find z, given that l(z) = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 5:16 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 15*x - 11*x + 7 as k + l*x and give l.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 382\/(-396))*(-223)\/(107709\/(-276)).\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, g: 1, u: 2, h: 1}. What is prob of picking 3 g and 1 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -6*d**2 - 2170*d + 1088*d + 1 + 1085*d. Calculate m(-2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 153, -5, -6 in decreasing order.\nAnswer: 153, -3, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 31, 8, -15, -38?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17095630 and 950?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 331457*d - 331466*d = 189 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -g*m + 6825080*g - 2517151*m**4 wrt m?\nAnswer: -g - 10068604*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 51858899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5891 - 4542. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15683 is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1872 and 8210826.\nAnswer: 65686608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -31*o**4 - 48*o**3 + 769*o**2 - 54*o. Let t(i) = 16*i**4 + 23*i**3 - 384*i**2 + 24*i. Let r(j) = -4*s(j) - 9*t(j). Factor r(x).\nAnswer: -5*x**2*(x - 4)*(4*x + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 253013742?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 5:42 AM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 9*d - 5. Let u(r) = r**3 + 8*r - 4. Let k = 6 - 10. Let y(n) = k*x(n) + 5*u(n). Find the second derivative of y(i) wrt i.\nAnswer: 30*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 890606675 to the power of 1\/4, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + (sqrt(180)\/sqrt(4))\/sqrt(9) - sqrt(5))**2 + (1*sqrt(5)*2)**2 + (-1*sqrt(1500))\/sqrt(3).\nAnswer: -10*sqrt(5) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 smaller than -2347\/224?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -28*a**2 + 56*a**2 - 31*a**2. Let u(v) be the first derivative of 5 + 1 + 2 - 3 + 4*v**2. Give u(t(f)).\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 204 and 984.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -4. Suppose q*l - 2 = l. Factor -r**3 + 1 + 2*r**l + 0 + r**2 - 3*r.\nAnswer: -(r - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 9. Suppose -6*k + 14 + 34 = 0. Let t be (s - -1)*(-1 + 5)\/k. Which is bigger: t or 5\/13?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 165239945*q + 157456478 wrt q?\nAnswer: 165239945","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s*s\/(s**6*s)*s**4*(s*s**(2\/7)*s)\/((s*(s**1*s)\/s)\/s)*(s\/(s**(-2\/23)\/s))\/(s*s**(-1\/6))*s*(s*s**(1\/8)*s)\/s*s**(-2\/3) assuming s is positive.\nAnswer: s**(5149\/1288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, b: 1, h: 1, r: 1, c: 2}. What is prob of sequence ycby?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 1 = 3*y, 0 = -2*y + 5*q - 0*q + 16. Let p(b) = 5*b + 56. Let j be p(-13). Let k = j - -15. What is the remainder when k is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -v**3\/3 + 5*v**2\/2 - 3*v - 3. Let b be z(5). What is the units digit of (-2)\/(30\/(-9) - b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-4))\/((-33)\/(-3564)). Let w = -74 + m. Solve 11*z = w*z - 12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1692 divide 695300328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 250503580, 250503581, 250503582, 250503583?\nAnswer: 250503584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(4\/(36\/(-99))). Is r at least as big as 3\/515?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 19 + 1 = 5*i, 2*y - 8 = -2*i. Sort -13, 3, y.\nAnswer: -13, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -118, 33, 18 in descending order.\nAnswer: 33, 18, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 57*t**4 + 59*t**4 - 3*t - 3*t - 4*t**3 + 4*t to the form f*t**3 + i + c*t**4 + w*t + r*t**2 and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (285\/(-228))\/((-3)\/(-4))*(-12)\/(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of 3*o + 291 - 115\/4*o**4 + 0*o**3 + 5\/2*o**2. What is the second derivative of c(s) wrt s?\nAnswer: -690*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47722092703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -16*z**2 + 131*z - 1. Let h(c) = 24*c**3 - 2*c**2 - c - 1. Calculate the remainder when h(2) is divided by f(8).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 8\/25 of a tonne?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1156298 is divided by 495.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 0.73.\nAnswer: -0.073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 26434.38nm?\nAnswer: 0.02643438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70785333?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 193 and 17927?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-8)*(-508)\/(-127)*(-33)\/2\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 59*u + 2219. Determine n(85).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 4 = -i, 2*i = 4*t - 0*t - 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b - 22804. Let m(o) = 24*o. Give m(f(g)).\nAnswer: 24*g - 547296","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47 - -72. Suppose -7*k - i = -12*k. Solve -3*a = -2*a - k for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1846*o**4 - 1145 wrt o?\nAnswer: 7384*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -3*g + 23 - 31, 0 = 4*a + 5*g + 50 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.04, -2\/7, -2\/10205, 0, 2\/19?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 10:30 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 4:45 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-5))\/((-5)\/(-25)). Suppose l*o + 16 = -4. Let r(i) = -i**3 - 3*i**2 + 7*i + 6. Is r(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 + -23 + -19 - -23.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 6*i**3 + 9*i**2 - 8*i + 4. Let s(c) = -c**3 + c - 1. Calculate -k(l) - 4*s(l).\nAnswer: -2*l**3 - 9*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -29, -27, -27, -29, -33?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.13 - 5.13. Suppose 7*z - 14*z - 21 = 0. Let n = -41\/2 - -21. Which is the closest to n? (a) y (b) 2\/9 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1715425 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m + 3. Let q be (-344)\/(-44) + (-2)\/(-11). Let h be t(q). What is the greatest common factor of h and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.41 (b) 3 (c) -0.3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -5*p**3 + 3*p**2. Let a(v) = 11*v**3 - 7*v**2 - v + 1. Let z be 3\/(-4) - 2412\/1072. What is z*a(b) - 7*s(b)?\nAnswer: 2*b**3 + 3*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 - 59. Let m be (-6)\/g*(1 - -3). Solve -o - 6 = -m for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6069 (base 13) to base 8.\nAnswer: -31725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1463 + -843. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8437000, -8436966, -8436944, -8436940, -8436960, -8437010, -8437096, -8437224?\nAnswer: -8437400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*a + w + 10, 10 = -a + 3*w. Suppose 2*b - 4*f + 7*f = 8, -a*b = 2*f + 2. Let l(g) = -4*g**3 - 2*g**2 - 2*g - 2. Is 8 a factor of l(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i + 3. Suppose 3*t - 414*w + 416*w = 689, -3*t = 5*w - 674. Calculate the remainder when t is divided by s(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -1*sqrt(75)*-6)*6*5*-5)**2.\nAnswer: 2700000*sqrt(3) + 60840000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus 75.3?\nAnswer: 74.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151 = -2*d - 25. Suppose u - 48 = d. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.13 - 7300937.\nAnswer: -7300937.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 7*l - 2. Let o(b) = -b - 3 + 3. Let n(a) = c(a) + 5*o(a). Let x(y) = 8*y + 369. Let s be x(-45). Give n(s).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1328 - -8339\/6. Let n = -2989\/15 - -1238\/5. Let s = f - n. Find the common denominator of s and 91\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 14 = 4*g - 37, g - f = 7. Let r(p) = 4*p - g*p + 8*p - 3*p**2. Let j(x) = 0*x**2 + 2*x**2 - 3*x**2. Give j(r(k)).\nAnswer: -9*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of 55*f**4 - f**3\/6 + f**2\/2 + f. Let o = 132 + -131. Let w be z(o). Round w to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -726*w + 699*w + 203094. What is the thousands digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 37980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56 + (-185 - -94) + 65?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2260414180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1.12, 1.3, 54, -1, -2\/7, -3?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -0*p - 6. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/3054753 and 55\/4073004.\nAnswer: 12219012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -1 - (-1 + 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 483481 is divided by 1011?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 31 + 65)*(2*v + 2 - 2).\nAnswer: 104*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2401.8 - -118027.14\nAnswer: 115625.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 3 + 1 + o + 0*o**2 + 0*o**2. Let b = -5 + 8. Calculate r(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41608040 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -12. Solve -x + 2*p + g = p, -3*p - 3 = x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*i - 285*i**3 - 261*i**3 + 553*i**3 + 88*i.\nAnswer: 7*i**3 - 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4, -z = 5*j - 84 + 10. Solve 0 = j*h - 52 + 80 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**5\/11 - 146*m**4\/11 + 5868*m**3\/11 - 5128*m**2\/11 - 23440*m\/11 + 22848\/11 = 0. Calculate m.\nAnswer: -102, -2, 1, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 64123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48596638 is divided by 81.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 23 + 2. Let i(a) = 15*a + a - 17*a - t*a. Let p(h) = 4*h**2. What is p(i(y))?\nAnswer: 256*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -3, -21, -0.8, -7?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 604834921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 485630 to the power of 1\/2, to the nearest integer?\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 597 and 25671.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4 + 10\/3 - -1) + (-1648)\/(-24) is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/((-1600)\/(-1064))*34\/119.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**3\/7 + 1600198*l**2\/7 - 320080004998*l\/7 + 320078404802\/7 = 0.\nAnswer: 1, 400049","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 253\/22*-1*-2*-2.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 405 divided by -135.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.7 + -4.3. What is the third biggest value in s, -8, 1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 45 = -3*k - 16, 2*m - 11 = -k. What is the least common multiple of 3 and 5 - m\/(4 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = g - 6*m + 140, m = -4*g - 602. Does 20 divide (-2006)\/(-10) - (-90)\/g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-168)\/30 + 0)*(4 + 1). Let l = -26 - n. Solve -i + l = 6 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2. Let k(t) be the first derivative of t**6\/360 + 2*t**3\/3 - 3. Let d(u) be the third derivative of k(u). Determine w(d(n)).\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -56283 in 2\/19, 1, -4\/5, 0.2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/m**(2\/17)))\/(m\/((m\/(m*m*m**(-6)*m*m))\/m)))**(-15\/8)*((m*m**(-1\/4)\/m)**31)**(-2\/7) assuming m is positive.\nAnswer: m**(113\/952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) 4 (b) -1 (c) -4\/721 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2338*f**2 + 1611*f**2 - 2176*f**2.\nAnswer: 1773*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 21*c**2 - 3*c + 60. Let r be s(21). Let f = 45 - 45. What is the nearest to 1 in 2\/9, r, f?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -7*w**2 + 57*w + 171. Let k be c(8). Calculate the greatest common divisor of k and 22375.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 19*r**2 - 10*r. Let v be k(-20). Let q = v + 289. Calculate the remainder when q is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (1 - (0 - -1)). Suppose -4*c - 5 = 7. Let m = 5 + c. Solve 4*t = -4*j - 4, -j - m*j = w*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 25 = 15. Suppose -1 = -f*i + 7. Calculate the lowest common multiple of i and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (6 - (-84)\/(-21))*(-4803)\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 8:56 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2465 + -2360. What is the highest common factor of 285 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -189 + ((89 - 41) + 4 - 16)?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.02 - 0.02. Let g = 4.67 - -0.33. Let t be (-1)\/4 + 18\/8. What is the third smallest value in g, z, t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -336614, -336617, -336620, -336623?\n\"Answer: -3*m - 336611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-1 - -4 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w - 41*w - 21*w.\nAnswer: -62*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -1117, -4\/11?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -1 - 1\/3*i**3 + i + 1\/2*i**2. Let u(b) = -5*b**2 + 6*b + 6. What is -6*p(n) + u(n)?\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.63403mm?\nAnswer: 0.00063403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1072031*m**2 + 1268104*m?\nAnswer: 2144062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198 = 33*h - 99. Let p = -4.9 - -5. What is the nearest to h in 2\/11, -4, 2, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, -0.16, 4, 29158, 0.7?\nAnswer: 29158","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -23 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, o: 2}. Give prob of picking 1 p and 1 o.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 5*s**2. Let t(c) = -24*c**2 - 648016*c. Determine t(y(a)).\nAnswer: -600*a**4 - 3240080*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -87 - d**2 + 87 to the form h*d + i*d**2 + m and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 8:47 PM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.587 + 4.413. Which is the nearest to 3? (a) -5 (b) -2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 78 + -73.6. Let u = 0.4 - r. Put u, 9, 2 in ascending order.\nAnswer: u, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 5*p - 5. Let w be j(5). Let g = -3 + w. What are the prime factors of g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**2 + 4*q**2 - 5*q**3 - 1 - 4*q**2 to the form w*q + h + x*q**2 + p*q**3 and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 9*i**2 - i - 57. Let v be w(8). What is the closest to -2\/7 in v, 0, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -126b0 (base 12) in base 8?\nAnswer: -61144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -9*l**2 + 16*l + 13. Let q(j) = 8*j**2 - 16*j - 12. Let y(x) = 7*q(x) + 6*r(x). Let w be y(9). Suppose -w*g = -7*g. Solve f - 1 + g = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -44, -104, -190, -302, -440?\nAnswer: -604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-84)\/7)\/144)\/((-10)\/40)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37350*k**3 + 163*k**2 - k - 1?\nAnswer: -224100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 27, 50, 65, 72?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/(-63))\/((-1480)\/46620).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 22\/(-33)*(1286075\/(-14) - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**2 + b**2 + 5*b**2 + (3*b + 2*b - 3*b)*(3*b + 0*b - b))*(-b + 1961 - 1981 + 2*b).\nAnswer: 6*b**3 - 120*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -466037*p**2 - 252*p**3 - 589*p**3 + 466037*p**2.\nAnswer: -841*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -162 - 163?\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c + 0*c + 3*c)*(3 + 2 - 3) + 11*c + 2*c - 8*c + 5*c + 3*c - 3*c + 5*c - c + 9*c to the form k + v*c and give v.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m. Give v(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + -3 + (-1550)\/(-403). Which is the nearest to -0.2? (a) 9 (b) 3 (c) -3 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of c**6\/20 + c**5\/6 - c**4\/3 - 4*c**3\/3 + 6*c**2 - 10. Let j(h) be the second derivative of n(h). Factor j(s).\nAnswer: 2*(s - 1)*(s + 2)*(3*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 2666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f - 196 = 5*f. Find the common denominator of (-174)\/(-256) + f\/(-56) and 35\/6.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19085.180173751 + 5.\nAnswer: 19090.180173751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5102867)\/(-154))\/(2*2\/8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -14*q**3 - 17*q**2 - 20*q - 1. Let t(m) = -9*m**3 - 11*m**2 - 13*m - 1. Let a(h) = 8*t(h) - 5*x(h). Let g be a(-2). Solve 0*w = 3*w + g for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 8:29 AM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 199, 322, 397, 424, 403, 334, 217?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 64 = 5*m + 47, 0*m = -m - u + 5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 g, and 1 d when four letters picked without replacement from gfdmmniimgg.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -6*v + 2. Calculate p(-7).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of n**7\/21 - 7*n**6\/30 + 3*n**5\/10 + n**4\/12 - n**3\/3 + 84*n. Find w such that q(w) = 0.\nAnswer: -1\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kvvk when four letters picked without replacement from {v: 5, k: 5}.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 219, 468, 809, 1242, 1767?\nAnswer: 2384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + q = 5. Sort -5, 5, q in ascending order.\nAnswer: -5, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1322 a factor of 30080788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000010789 rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*u = 3*p + 4, 2*p + 5 = -u. Suppose 0 = 2*z + 2*z + 2*n + 24, 2*n = z + u. Let o = 0 - 2. Put o, z, 3 in decreasing order.\nAnswer: 3, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05 and 161?\nAnswer: 8.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 48 = 20, 2*p - 6*u + 102 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62540.\nAnswer: 2, 5, 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17 + -75.5.\nAnswer: -92.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 6 - (9 - 8 - -27)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -6*b - 2. Let d be v(2). Let u be 9\/108*663 - 6\/(-8). Let m be 11\/4 - d\/u. Sort -3, m, -17 in increasing order.\nAnswer: -17, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5781111 micrograms in grams?\nAnswer: 0.0000005781111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 u when three letters picked without replacement from pwuwug.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(95) - (sqrt(95) - sqrt(95)*-2)*-2)\/sqrt(5) - (5 + sqrt(38)\/sqrt(2)*2)) + ((sqrt(266) + -1*sqrt(266))\/sqrt(7))\/(sqrt(20)\/sqrt(360)))**2.\nAnswer: -50*sqrt(19) + 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 109, 176, 245, 316?\nAnswer: 389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 4:27 PM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (0*(2\/(-4))\/(-1))\/(316\/12482*-79)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 5744*d - 120619. Calculate w(21).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -78*s**3 - 9*s**2 + 9*s - 7. Let g(t) = -t**3 - t**2 + t + 1. Determine 8*g(j) - y(j).\nAnswer: 70*j**3 + j**2 - j + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 6*o**2 - 11*o - 10. Let y be d(-4). Let s(f) = f**2 + 7*f + 5 - 2*f - 9*f**y + 10 + 2*f**3. Is 9 a factor of s(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -17*r - 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/6388 and 99\/16.\nAnswer: 25552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -19*r**2 + 4*r - 1. Give f(3).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 7 - 32)*(s + 0*s - 4*s)*(-4*s**3 - 3*s**3 + 6*s**3) as d*s + z*s**2 + a + r*s**4 + n*s**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 155575 (base 8) to base 15.\nAnswer: 119ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104488980 divided by 11533.\nAnswer: 9060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -215*a - 789. What is the ten thousands digit of m(-96)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 - 2*u - 1. Let i be g(-1). Suppose i*s - 6*k - 10 = -5*k, 4 = 2*s - 2*k. Suppose -5*t + 42 = 4*q, -2*t + q + 6 = -q. Solve -y + s*y = t for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 89629065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/7)*p**(-6)*p)\/((p*p\/(p*p\/(p*p**(1\/3))))\/p)**26)\/(((p\/((p*p**3)\/p)*p)\/p**(-4\/5))\/(p\/(p\/(p\/p**1))*p**(-6)*p)) assuming p is positive.\nAnswer: p**(-1924\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 1067.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 2. Let d be 35\/6 + (-11 + 9)*3. Suppose -9 = 3*k + 3. Which is the second smallest value? (a) j (b) d (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 558773 (base 13) to base 15\nAnswer: 29ce68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -3176835 and -3176836 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 400268?\nAnswer: 2, 11, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a decade in years?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28608*k**4 - 3958*k**2 - 8*k + 3 wrt k?\nAnswer: -686592*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-14)\/(-3))\/((-1)\/3). Suppose -2*i = -0*i - 3*y + 29, -2*i + y = 19. Let b = i - j. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -m**3\/3 + 4*m**2 - 16*m - 3. Let h be g(5). Let p(c) = -2*c. Let z(q) = 3 + q - 3. Determine h*z(s) - p(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-45)\/3 + 9986 + 36 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 338966?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 0 + 143*a - 4 - 5 to z*a + c and give z.\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 10:05 AM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 2.1. Let s = -0.4 - h. Let w = -161420.7 - -161420. Which is the second smallest value? (a) -1 (b) w (c) s (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 32*k - 37*k. Let d(r) = -42*r + 308. Let h be d(7). Solve -3*j = k - h for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*y - 980 = 472 for y.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 891, 626, 355, 78?\nAnswer: -205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**2 + 10141*l + 460378. What is h(-45)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 10. Suppose -y = -f - 12, 4*y = -b*y - f + 28. Let u = y - 0. Calculate the highest common factor of 20 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111110 - -10011000011111011?\nAnswer: 10011000010111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(20\/1))\/((-3)\/4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10015a5 (base 11) in base 2?\nAnswer: -110110001000000101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, h: 2}. Give prob of sequence fh.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 4*l - 1\/3*l**3 + l**2 - 2. What is y(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 3*k**2 - 4*k - 2. What is p(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5546542?\nAnswer: 2, 23, 120577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29307, -58625, -87945, -117267, -146591, -175917?\nAnswer: -205245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46569953315 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*o = 203*o + 18 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -9, -765*q + 770*q - 1183 = -n. Is 5 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(256)*4)\/(-6*(1*sqrt(8) - sqrt(8) - sqrt(8)))*-4.\nAnswer: -32*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 7) in base 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -k**7\/420 + 7*k**6\/20 - 441*k**5\/20 + 3087*k**4\/4 + 29*k**3\/3 + 28. Let r(i) be the third derivative of s(i). Factor r(h).\nAnswer: -2*(h - 21)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -1\/3*r**4 - 2\/3*r**3 + 2 - 3*r**2 + 0*r. Let o(u) be the second derivative of m(u). Find the first derivative of o(h) wrt h.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u. Suppose -5*h - 2*g + 7*g - 15 = 0, -4*g + 12 = -h. Let j(t) = 19*t - 20*t + 0 + h. Determine b(j(f)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 6 - 4)*(-3423*j + 1761*j - 2176*j - 623*j) in the form d + r*j and give r.\nAnswer: -8922","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 794 divided by -369?\nAnswer: -794\/369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (1068 + 816 + 576)*(-5*r + 5*r - 2*r)*(3*r + 2*r - 6*r) in the form f*r**2 + h*r + y and give f.\nAnswer: 4920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**2 + 149*i**3 + 5 - 147*i**3 - 5 - 9*i to a*i**3 + m*i + h + t*i**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j = -3*j + 95. Suppose 5*p + 11 = 3*t - 2, 0 = -4*t - j*p + 64. Solve 6 = q + 4*o - t, 16 = 4*o for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*p - 11 = 0. What are the prime factors of p\/9 - 1 - (-565)\/9?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-14 + 40 - 13)*(-5*z + 3*z - 4*z) - z + 3 - 3)*(-21*z + 6*z + z) to c*z**2 + k + b*z and give c.\nAnswer: 1106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 5*f - 187, -q = 2*f - 0*f + 92. Suppose 0 = 4*p, -4*k - 2*p = -7*k + 423. Let n = q + k. What are the prime factors of n?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 9:18 AM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5558480*p - 719960 with respect to p.\nAnswer: 5558480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3170*g + 1269*g + 3122*g to r + a*g and give a.\nAnswer: 1221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c + 19*c**2 + 0*c**3 + c**3 + 18*c - 2*c. Let y be w(-18). Suppose 5*o = -0*o + 20. Solve 3*n + 13 + 14 = -3*r, o*r - 5*n = y for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1911\/98)\/39 - (-4)\/(64\/(-7))?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 43154*k - 20. Let w(v) = -13*v. Calculate d(w(o)).\nAnswer: -561002*o - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 11*i**2 - i + 1. Let u be h(1). Let d(o) = o**2 - 2*o - 3*o**2 - 7 + u - o**3. Let m(l) = -l**3 - l**2 - l + 1. Let s = 7 - 5. What is s*m(p) - d(p)?\nAnswer: -p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 5. Let c be (6\/q)\/((-3)\/2). Suppose 4*b = -2*o + 4, 4*b - 4*o + 4 = -2*o. Is b at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 - 203. What is q rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*u - 14. Let t(f) = -f**3 - 8*f**2 + 9*f + 5. Let q be t(-9). Let h(y) = -y**2 - 3*y + 0*y**2 + q*y**2 + 6 - 2*y + y**3. Give h(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 14*z**2 - 29*z - 42. Calculate q(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -493447, -493449, -493453, -493459, -493467, -493477, -493489?\n\"Answer: -k**2 + k - 493447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**3 + 6*b**3 - 6*b**3 + (-7*b + 3*b + 2*b)*(-11*b**2 - 53*b**2 + 106*b**2).\nAnswer: -80*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.2 - -0.3. Let u = 1.93 + h. Let j = 0 + -3. Sort u, -0.3, j.\nAnswer: j, -0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1248 - -0.0248. Which is the closest to u? (a) 6 (b) 5 (c) -0.4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -85 and 94.592.\nAnswer: 9.592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than 1.67?\nAnswer: 6.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 233802*n**3 + 22*n**2 - 657*n - 1 wrt n.\nAnswer: 1402812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**2\/7 - 3757*n\/7 - 13400348\/7 = 0.\nAnswer: -2236, 5993","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1163*-625\nAnswer: 726875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32224990.\nAnswer: 2, 5, 7, 67, 6871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*z - 4*z - 4*z)*(0 + 0 + 2 + (-5 + 1 + 3)*(7 - 12 + 9)) in the form b + u*z and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 7 - (7 + (-17 - -9 - -18))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-44)\/(-32) + ((-14)\/16 - (5 - 6)). Let d = -1\/24 - -79\/168. Let u = 20 + -25. What is the nearest to -1 in u, d, m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, f: 6}. What is prob of sequence rf?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9816844 > 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, b: 7}. What is prob of picking 3 b?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 166, -23, 22 in ascending order.\nAnswer: -23, -2, 22, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 j, and 1 i when three letters picked without replacement from ideizzezvjez.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 810 + -834 - ((3 - 3) + 7)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 24993.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 409113 greater than 408716?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1155 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: Let o(z) = z**3 - 8*z**2 - 6*z - 19. Let y = -12955 - -12963. What is o(y)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 3\/19 (b) 196 (c) 0.3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*n**4*w + 2*n**3*w - 57*n**2*o + 2286*n*o*w wrt n?\nAnswer: 72*n**2*w + 12*n*w - 114*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1971008, 7884076, 17739188, 31536344, 49275544, 70956788, 96580076?\nAnswer: 126145408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 4:56 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 2176064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*y + 9 = 0, -8*y + 15 = -3*y. Let u be (-3 + i)*(-6)\/9. Suppose 0 = -u*v + 5*v - 111. Does 10 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -541 + 537. Sort 0, k, -0.4, 4 in decreasing order.\nAnswer: 4, 0, -0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-595)\/50 - (-42)\/7*2. What is the nearest to -2 in a, -3\/4, -6, 0.3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = 68*p + 219 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*u - 161 + 46. Sort 3, -4, 93, u in descending order.\nAnswer: 93, u, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 48*d**2 + 17.\nAnswer: 48*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3000302 (base 4) to base 15.\nAnswer: 39c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (2 + sqrt(847))*-6)*4.\nAnswer: -264*sqrt(7) - 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -93839755 rounded to the nearest 100000?\nAnswer: -93800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.34 + -2.449. Let l = 0.009 + g. Which is greater: l or -25\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1501340.\nAnswer: 2, 5, 271, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 706 + 94 = 20*w. Is 1\/4 + (-2)\/(w\/(-90255)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 11*-2) + -3. What is the greatest common divisor of 27 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*t + 5 = -2, 2*b + 10 = 4*t. Is (5406\/(-18) - -2)\/(1\/b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1)*d)**(-46)*(d**(-2\/3))**16 assuming d is positive.\nAnswer: d**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 0*x + 1 + 6*x - 45 + 8 + 16.\nAnswer: 6*x - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - (-159)\/(-24) - -3. Suppose -3*w - 1 = -3*n - 7, -2*n = -3*w + 1. Let x = 0.2595 + -0.6595. Which is the nearest to -0.2? (a) w (b) r (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211 times -0.1?\nAnswer: -121.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 8, -2\/19, 0.2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 9*i + 151. What is h(-9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/13 in 2\/7, 9, 3\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30623225 to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-165)\/((-6105)\/962) - 49\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u + 12 - 42 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 21*i - 22*i + 37, -4*i + 3*y + 154 = 0. Calculate the highest common divisor of i and 344.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 8 = -5*g, -2*b + 10 = 3*g - 7*b for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 15*o - 649. Let s be w(56). Is 170 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 391.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 920 a factor of 350363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5 = 4*u + 33, 5*t - 5*u = -25. Let b(w) = -w**2 + 5*w - 2. Let n be b(6). Let d = t - n. Solve d*g + 20 = -4*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 - 12 = 5*s - 3*q, -32 = -3*s - q. Suppose -4 + 2 = -n. Let v be s\/65 - n\/(-65)*-5. Solve -3*h = -v*h + 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*d**5 + 17667*d**3 - 99077*d**2 wrt d.\nAnswer: 300*d**2 + 106002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/12 - 1\/4. Suppose -3*k = -d*k + 3. Suppose -3*w + 4*p = 18, -8*w + p - 24 = -4*w. Which is the smallest value? (a) w (b) 0.1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6429, -25703, -57831, -102819, -160673, -231399, -315003, -411491?\n\"Answer: -b**3 - 6421*b**2 - 4*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 538*k + 780 = 551*k. What is the remainder when 4199 is divided by k?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -250 (b) -0.9 (c) 947 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 3 (b) -0.5 (c) 0 (d) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 - (-30 + 23)) + (3 - 4)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/14851584 and -67\/288.\nAnswer: 14851584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - v)*(-5 + 5 - 2) + (3 + 9 - 4)*(-2*v - 2 + 2).\nAnswer: -14*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 8*o**2 + 5*o - 134. Give t(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x + 0 - 24 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (8870\/(-14192))\/((-2)\/48)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.21 and 3276833?\nAnswer: -688134.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t + 1. Suppose -9 = 86*k - 95*k. Let y(x) = 2*x**2 - 4*x - 5. Let n(b) = 5*b**2 - 9*b - 10. Let c(l) = -4*n(l) + 9*y(l). What is k*c(z) + 3*w(z)?\nAnswer: -2*z**2 - 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/140 and 99\/140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 u when two letters picked without replacement from gbbu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(6*sqrt(35)\/sqrt(5)).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -220389182 from 32.\nAnswer: 220389214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.07 - -0.1. Let c = 0.03 - m. Sort -5, c, 5 in descending order.\nAnswer: 5, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1913\/8 + 236. Let y be (((-10048)\/60)\/(-8))\/((-1992)\/(-9)). Let r = 12\/83 - y. Calculate the common denominator of r and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*h**3 - 35*h**3 - 38*h**3 + 111*h**3.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32*y**5 - 1182*y + 1182*y + (-2*y**3 + y**3 + 2*y**3)*(2*y - 2*y - y**2) + 35*y**5 - 22*y**5 - 17*y**5 - 2*y**4.\nAnswer: 27*y**5 - 2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 5:44 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.84772153 and -233998.\nAnswer: -233995.15227847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000010020 + -10012?\nAnswer: -1000020102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 5*m**2 + 61*m + 533. Determine x(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m. Let h(s) = 7*s - 4. What is -5*g(f) + h(f)?\nAnswer: 2*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4470928 divided by 1064.\nAnswer: 4202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 315*o - 1 - 250*o + 176*o in the form v*o + u and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -39 - 16. Let w(u) = u + 16. Calculate the remainder when w(s) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -70 + 79 - (8 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b. Let o(j) = j**3 + j - 1. Suppose 3*p = -5*n + 14, 2*n - 10 + 2 = -2*p. Suppose 0 = -2*q + 3 + n. Give q*o(h) + k(h).\nAnswer: 2*h**3 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -103*c - 10. Let q(b) = -2. What is -g(h) + 4*q(h)?\nAnswer: 103*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 21 = -d + 5*h, -5*h - 23 = -3*d. Let z = -33 - -29. Let q = 60 - 61. What is the nearest to 0.1 in z, d, q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 2034186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 67201724 - 67201724 - 118*i**2 - 33*i**3 + 2*i**3 + i**3 - 2*i**3 + (0 + 3 - 1)*(-2*i**2 + 2*i**2 + 2*i**3).\nAnswer: -28*i**3 - 118*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19609 + -13862. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h*h**(-14))))\/h**(10\/9)*(h*h\/(h*h*h**(2\/13)))**16 assuming h is positive.\nAnswer: h**(-1939\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 35514 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 663 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -538*k + 83640 = -526*k. List the prime factors of k.\nAnswer: 2, 5, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 5. Let z = 4.48 - m. Round z to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u = 6 + 1 + 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 228525727 and 25345?\nAnswer: 5069","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 86.04197 + 5.95213. Let y = b - 92. Round y to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a second in milliseconds?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.018219 * -0.02\nAnswer: 0.00036438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 733, 1466, 2203, 2944, 3689, 4438?\n\"Answer: 2*m**2 + 727*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 122002.30018 + -122004. Let t = f + 1.7. Round t to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 83846 divided by -113\nAnswer: -742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 836, 576, 332, 104, -108, -304, -484?\nAnswer: -648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -27 in descending order.\nAnswer: 5, -3, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 440994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence me when two letters picked without replacement from eteeemrmtmeooe?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 37\/6538 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 714153 to the power of 1\/2, to the nearest integer?\nAnswer: 845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 262159705 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/470 and -41\/94.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 702 is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1707 is divided by 59.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74, -65, -56, -47, -38?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 8\/149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 7*k + 17. Let i be t(8). Let p(n) = n + 5. Let d be p(-6). What is the units digit of -3*15\/i*d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70747*a + 107217 = -73996*a for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2141256.088.\nAnswer: 2141254.088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*j**5 + 17*j**4 - 11*j**3 - 406*j**2 - 4.\nAnswer: -1440*j**2 + 408*j - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4120 - -44?\nAnswer: 4214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -41. Let v = w - -47. Let q(d) = 20*d - v*d**3 + 1 - 3*d**3 - 18*d. Give q(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1311*k + 2 - 4828*k - 2*k**2 + 1586*k.\nAnswer: -2*k**2 - 4553*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 3:05 AM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -354 (base 11) to base 13.\nAnswer: -266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4\/6*(-6)\/8*1260\/45\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4428806693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-108)\/21 + 5)*4. Which is the closest to -3\/2? (a) -5 (b) x (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -8. Suppose -2*q = -3 - 5. Let b be 5\/20*q + -1. Sort m, -4, b in descending order.\nAnswer: m, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 74 + -69. Put 2, z, 4, -1 in ascending order.\nAnswer: -1, 2, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*q - 24116 = -51*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (19 - 19)\/(-1 - 1\/1). Solve 5*z - 3 - 22 = a for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37772\/101 less than or equal to 373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/((-880)\/33)*(-18865)\/231?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 606606 is divided by 9477?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Divide -184 by 33230.\nAnswer: -92\/16615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 3024 and 3033 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -153438 (base 11) in base 10?\nAnswer: -238774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51 - -76. Let t = h - 96. What is the remainder when t is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) - sqrt(176)*1)**2 - sqrt(176)) + sqrt(396) + 1 - (sqrt(11) + sqrt(88)\/(sqrt(24)\/sqrt(3)) + 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -713 (b) 0 (c) 28 (d) -48\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -2*o**2 + 15*o - 13. Let j be r(3). Suppose j*x = -5*d + 4*x + 13, 2*d = -3*x + 12. Solve -d*l + 2*l - 1 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 times 0.0612\nAnswer: -1.9584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -45*m + 76. Let b(f) = -f**2 + 6*f + 32. Let t be b(10). What are the prime factors of r(t)?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + c + 103 = 0, -82 = -3*k + 3*c + 68. Suppose -6*u + 5*u + 14 = 0. What is the remainder when k is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-56))\/((3*18\/(-81))\/(-2)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2428, -4865, -7302?\nAnswer: -9739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2385 divided by -159?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*y - 162*y + 73*y.\nAnswer: -168*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 6*b + 2 = 4*b, 0 = 3*z - 2*b + 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3822846?\nAnswer: 2, 3, 59, 10799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b**5 - 8*b**4 - 844*b**3 - 5104*b**2 - 7728*b - 3456 = 0. Calculate b.\nAnswer: -8, -6, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0*2\/4)\/(-2). Suppose p = 5*h - 5*x - 60, 3*x + 32 = 2*h - x. Calculate the least common multiple of 6 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((36\/(-70))\/((-933)\/2177))\/(11247\/115).\nAnswer: 2\/163","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-2 + 7 + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11281, 22795, 34351, 45949, 57589, 69271?\nAnswer: 80995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.119 - -3.119332. What is f rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9595 + 9590. Sort 0, 280, -1, -4, s.\nAnswer: s, -4, -1, 0, 280","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -4. Let q be (u - (-2 - -5))*-3. Suppose q*j + 0*j - 93 = 0. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07501154 rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24272 and 592.\nAnswer: 24272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -11*v. Let d(y) = 2*y + 14. Give d(w(k)).\nAnswer: -22*k + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -11969604 divided by 664978\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Add -1370.21 and -1.43.\nAnswer: -1371.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000330214043 to 7 dps.\nAnswer: 0.0003302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w - w**3 + w + 3*w - w**3 - 4*w**2. What is the units digit of p(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -1147*u - 3*u**2 - u**3 + u**3 - 1 - 3*u**3 + 1137*u. Let t = 3 - 6. What is the remainder when y(t) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-nine fifths of a day?\nAnswer: 8352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 5. Suppose 2*h + 5*w = 20, w - 40 = -4*h - 3*w. Let c = h - y. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -37*p**3 + p. Let y be l(1). Let c be 3*(-15)\/y*4. Suppose -2\/7*f + 4\/7*f**2 + 0 - 4\/7*f**4 + 2\/7*f**c + 0*f**3 = 0. Calculate f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 4*c - 16, c - 28 = 5*r - 1. Let h(v) = -v**2 + v - 1. Let q(j) = 10*j**2 + 4*j - 7. Let u(y) = 3*h(y) + q(y). Is u(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 31487537.34 to the nearest one hundred thousand.\nAnswer: 31500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1443585 to the nearest 1000.\nAnswer: 1444000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 242371 and 144.\nAnswer: 242515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*a + 2\/3*a**2 - 2.\nAnswer: 2*(a - 1)*(a + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 6*f - 1. Let b be j(5). Let c = -3179\/40 + 683\/8. Find the common denominator of (2*(-2)\/b)\/12 and c.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 54320527 divided by 5?\nAnswer: 54320527\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b + -b?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 468679 and 6931.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 248360 or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 11*o. Let k(r) be the second derivative of -1\/3*r**3 + 0 - 18*r + 0*r**2. Determine q(k(t)).\nAnswer: -22*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -133*v**2 + 319*v + 137. Let r(c) = -89*c + 106. Let f(x) = -6*o(x) + 17*r(x). Differentiate f(p) wrt p.\nAnswer: 83","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1123926 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -325.5 + 251. Let g = -74.500000993 - i. What is g rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 5:02 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 + 6. Let j = 19 + r. Solve 2*o = -z - j, 2*z + 2*o - 1 = o for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 4*f**2 + 9*f - 12. Calculate n(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/21 and -61\/5.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*j + 3*i - 39 = 71*j - 714, 16*j + 3*i = 29*j - 9*j - 11 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 591621 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 461604 by -6.\nAnswer: -76934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of 2*s**3 - 1\/12*s**4 - 1\/60*s**5 + 0 + 4*s**2 + 0*s. Let f(n) be the first derivative of d(n). Give f(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3921 a multiple of 250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -34493572 + -0.4\nAnswer: -34493572.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25*6\/60)\/(140\/28)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 24 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gu when two letters picked without replacement from {g: 7, u: 3}?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/12*93 - (0 + -2). Let s = 31 + d. Suppose -2*x - j = -67, -s*j + 12 = 3*x - 89. Calculate the smallest common multiple of 21 and x.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59573803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3736.\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 948\/656029 or 1?\nAnswer: 948\/656029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 - -32.7. Let l = 3.3 + p. Which is the third smallest value? (a) -1 (b) 4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2617b0 (base 12) in base 7?\nAnswer: -5212002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24\/7 - 15\/35. Let d be (k + -2)*-3*73. Is -1 - (3 + -8) - d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 12*y**3 + 75*y. Let g(m) = -11*m**3 - 74*m. Calculate 7*g(q) + 6*t(q).\nAnswer: -5*q**3 - 68*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 2 (b) -3 (c) 3492\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 181 + -183. Which is smaller: -91\/51 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/14)\/(17\/((-714)\/(-108)))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.06 - 4.06. Suppose 2 = -4*s - 2*o, s = 6*s + o + 4. Let x = 4 - 4. Which is the closest to s? (a) m (b) x (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 63*m - 64. Suppose 4 + 6 = -5*c, -k - 3*c - 5 = 0. Let j be n(k). Suppose -5*o - 16 = -1. Sort -5, -2, j, o in descending order.\nAnswer: j, -2, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 6 - 1 = -5*a, -3*a = 4*x + 8. Suppose 0 = -v - 0 - 4, a*v + 12 = -2*h. Let c be h + 1\/((-1)\/(-359998)). What is c rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10edb (base 15) in base 7?\nAnswer: 313244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/195)\/(4\/(-156)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100101000 (base 2) in base 15?\nAnswer: -38d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -289 + 258. Let u be (k\/93)\/(3 + 56\/(-18)). Let 2\/7*a**u + 6\/7*a**2 + 0 + 4\/7*a = 0. What is a?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13*(-90)\/(-2925)*3\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 476848 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*x**3 - 44*x - 5329 with respect to x.\nAnswer: -15*x**2 - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 18*r + 68. Calculate f(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -22*y**2 + y**3 + 0 + 2*y - 6 + 3 + 24*y**2. Let f be m(0). Let z be (-4)\/14 + (-24)\/14. Put f, 1, z in decreasing order.\nAnswer: 1, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1093572 and 1002441?\nAnswer: 12029292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006332316 rounded to 7 dps?\nAnswer: 0.0000633","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19627?\nAnswer: 19, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47393.9 - -47394. Let s = 0.41 + -0.01. What is the closest to s in -2, 1.9, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 850807319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129949652?\nAnswer: 2, 7, 4641059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*o + 27 = -13 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 446c6b (base 16) in base 3?\nAnswer: 22102211011121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -50548 + 253892\/5. Factor -96\/5*i + w + 2\/5*i**2.\nAnswer: 2*(i - 24)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1625128724 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*w - 94 + 124. Let s(j) = 412*j**2 + 312*j**2 - 505*j**w. Let k(g) = 2*g. What is k(s(l))?\nAnswer: 438*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -214621 (base 7) to base 5\nAnswer: -2201241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -2\/35*n**5 + 0*n**2 - 2\/7*n**3 + 0*n + 3 - 2\/7*n**4. Factor m(d).\nAnswer: -2*d**2*(d + 1)*(d + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6882259 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/12 and 3 + 2 + -6 + (-3153)\/(-3438).\nAnswer: 2292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**3 - 16*z**2 - 18*z = 0.\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjmmmmmmjjjmsmj. Give prob of sequence mm.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 156, -16, -170, -300, -400, -464?\n\"Answer: u**3 + 3*u**2 - 188*u + 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-63)\/(-9))\/(-84)*(-20)\/130*5\/(-5)\nAnswer: -1\/78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -152 - -67. Let t = 97 - p. Calculate the highest common factor of 28 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 - 2)*4\/(-7). Let s be p\/9 + (-28)\/(-126). Let d = -2.4 + 0.4. What is the nearest to d in s, 0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.883 and -1.81756.\nAnswer: -1.60490548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 214*v**5\/9 - 144*v**4 + 1784*v**3\/9 - 32*v**2\/3 = 0.\nAnswer: 0, 6\/107, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13666971.\nAnswer: 3, 1973, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 2*k. Suppose k = p + 3*p - 60. Is p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v*v**1)\/v)**(-47)\/(v**(-3)\/v)**(2\/41) assuming v is positive.\nAnswer: v**(-3846\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y**2 - 5*y - 1. Suppose 0 = -5*n + 2 + 8. Let a(j) = n*j**2 + j - 2 - 3 + 3*j + 6. Calculate -4*a(i) - 3*t(i).\nAnswer: i**2 - i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -3*t + 3*o, -4*t - 3*o - 14 - 5 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 12. Let u be (10\/(-8))\/(l\/(-16)). Suppose -u*t + 13 = 3*k + 3, 5*t - 25 = 0. Put k, -1, -2\/23 in descending order.\nAnswer: -2\/23, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t - 358 + 123 + 103 + 96.\nAnswer: -t - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - t = 97, -2*t = 4*d - 6*d + 42. What is the greatest common divisor of 133 and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -26, 764784 in descending order.\nAnswer: 764784, -2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/2248 and 19\/4?\nAnswer: 2248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1360124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4739197 is divided by 161.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-648*z**2 + 648*z**2 - 41*z**3)*(-8*z**2 + 8 - 2 - 6).\nAnswer: 328*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 284781 times -0.3?\nAnswer: -85434.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9a1b0e4 - 5?\nAnswer: -9a1b0e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123 (base 5) to base 3.\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 169, 107, -2.\nAnswer: -2, 107, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + 0)\/(2\/(-4)). Let c = r - -4. Suppose c*q - 12 = -4*q. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1012538796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*32\/6*1. Let n = 18 - 10. Suppose -n*h + q = -4*h. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22884, 45774, 68664, 91554, 114444, 137334?\nAnswer: 160224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/123951400 and -37\/61975700.\nAnswer: 123951400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.64 - -15.54. Let b = 15 - h. What is the closest to b in 1, 0.5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3773 - 3023. Is 4 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 134806 to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + 58. Let c = t - 11. Suppose -4*q + 69 = c. Solve q*f + o - 2 = f, -5*o = -4*f + 32 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32038149 and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*f**3 - 177 + 177 + (3 + 1 - 3)*(-f**3 + 0 + 0) + 1189*f**2 - 1189*f**2 - 264*f**3.\nAnswer: -275*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or 3\/40?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**8\/840 - i**5\/60 - i**3\/6 + 3*i**2. Let w(c) be the first derivative of f(c). Find the second derivative of w(m) wrt m.\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -93, -265, -553, -957?\n\"Answer: -58*o**2 + 2*o - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 450.40231 less than -10786?\nAnswer: -11236.40231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -613834061.3+-80\nAnswer: -613834141.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = -10*k - 24. Let z(t) = -9*t - 162. Let d be z(k). Which is greater: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2016012?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + x = -111553, 5*x = 3*p - 50611 - 284048. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-25))\/(-2*(-2)\/(-20))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -96 - -231. Is u a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-26))\/(5418\/(-3913))?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 392552978 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5 = 64. Suppose -i = -k + 56, -149 = -3*k + i + g. Calculate the remainder when k is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 7 + 17. Suppose 2*n - 11 = -3*n + r, n + 3*r + 1 = 0. Suppose -x + 3*w - v*w + 44 = 0, w - 88 = -n*x. Does 11 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 40*f**2 + 9*f - 2. Let t be o(-7). Let n = 1418 + t. Suppose -i - 21687 = n. Round i to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*3*14\/6. Suppose -5*f + 2 = -3*u - 14, -f = -2*u - 6. Suppose f*x + 0 - 14 = 0. What is the greatest common factor of x and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 2*j**5\/5 + j**3\/2 - j**2 + 5. Let z(g) be the second derivative of h(g). What is the derivative of z(y) wrt y?\nAnswer: 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lc when two letters picked without replacement from llufcsuussfslsf.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109950?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 13*f**2 - 2*f - 4*f + 5 + 4*f - 15*f**2. Let h be g(-2). Which is bigger: h or -7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(308)*-1)\/(-1*sqrt(112)))\/(-4*sqrt(48)\/sqrt(3)*-5).\nAnswer: -sqrt(11)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**5\/3 + 4*j**4\/3 - 14*j**3\/3 + 8*j**2\/3 = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in months?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*n**3 - 953*n + 2 - 959*n + 1910*n - 3*n**2 to the form f*n**3 + z + r*n**2 + g*n and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of 1\/98*o**7 + 1\/7*o**4 - 2*o**2 - 2\/7*o**3 - 1\/140*o**5 - 1\/784*o**8 + 69*o - 1\/40*o**6 + 0. Determine g so that j(g) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g + 1. Let z(x) = 2*x**2 - 7*x + 2. Let h(d) = d**3 - 53*d**2 + 193*d + 146. Let i be h(49). Give i*z(p) - 2*l(p).\nAnswer: -2*p**2 + 9*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**5 - q**5 - 3*q**5 + ((2 + 3 - 6)*(-1 + 1 + q) - 4*q + 5*q + 14*q)*(3*q**4 - 30*q**2 + 30*q**2).\nAnswer: 37*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1368*h - 12391 + 2815 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - -2)\/(4\/212) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -15, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -10 + -57 - (3 - 0). Put 4, 5, z in decreasing order.\nAnswer: 5, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -67 + 134. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 9 = 3*x - 15, -4*n + 3*x + 11 = 0. Solve -b + 4*r + 8 = -n*b, -5*b - 6 = 4*r for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3346 divided by 41128.\nAnswer: 1673\/20564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 5*j - 485, -192 = -5*x + 2*j + 410. Suppose 0 = -5*h - h + x. Which is smaller: 2\/3 or h?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2271, -2600, -3123, -3840, -4751, -5856?\nAnswer: -7155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1996312321.\nAnswer: 1996312321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 41. Let i = s + 28. Suppose -v + 250 - 96 = i*a, 72 = 2*a - 2*v. Is a a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 11197*g + 223905. What is m(20)?\nAnswer: 365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 0.3, 0.1, -7750?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 + 216*z**2 - 12285*z + 66150.\nAnswer: -(z - 105)**2*(z - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -5)\/(74\/(-6734)*49)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven quarters of a hour?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) -1\/6 (b) 0.5 (c) -5 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 742.12911s in hours?\nAnswer: 0.206146975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -32085 from -235.92539.\nAnswer: 31849.07461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (504\/35)\/(-7*17\/(-2380) - 1\/(-4))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h - 13. Suppose 5*l = 3*l - 3*p + 3, p = 1. Suppose -2*a + 5*d + 65 = l, -a + 2*a + 4*d = 0. Let b be m(a). Solve 4*i = b - 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*r**3 + 49*r**3 + 21*r**3.\nAnswer: 91*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*g + 25*g + 10*g)*(3*g - 3*g - g).\nAnswer: -23*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 g when two letters picked without replacement from nnngggnggnnng?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 156692 + -49213. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31946870?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2446*y**5 - 4*y**2 - 39*y + 2 wrt y?\nAnswer: 146760*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78776912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1073275 - -3?\nAnswer: 1073300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 3\/4, -1, -1.42?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3\/6)\/((-3)\/(-24))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 + 6 - 2)*(-3*d + d + 0*d) + (4 - 2 - 4)*(4*d + 0*d - 3*d))*(3 + 4 - 6) as w + j*d and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5*u + 20, 5*r - 16 = 5*u - 56. Solve h = -4 + u for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1445630539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*y + 1302670 = 0. Let o = 507 - 502. Suppose o*t + 549476 = -3*p - y, 2 = -t. What is p rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 97 = 4*p - 3, 5*p + 3*z = -123. Let d = -14 - p. Calculate the highest common factor of d and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1835*c**2 - 1863*c**2 + 3698*c**2 - 19*c**3.\nAnswer: -19*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*h**3 + 0 + 2 + 8*h**3 - 6*h**3 to d*h**2 + m*h**3 + k + t*h and give m.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 216 divide 9566621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-2*6\/3)\/(224\/16)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -37 - -13 - (-1880)\/76. Let 136\/19*n**2 - 100\/19*n**3 + 10\/19 - 68\/19*n + 8\/19*n**5 + m*n**4 = 0. Calculate n.\nAnswer: -5, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -3 (c) -1 (d) -14 (e) 204\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 3 + -10 - 83 - (45 + -56) - -9\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 63474 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: -11.9985609 - 0\nAnswer: -11.9985609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 730*b**3 - 164 - 234 + 2*b - 720*b**3 wrt b.\nAnswer: 30*b**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 5:12 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 8*x**2 - 5*x - 9. Let s(l) = l**2 - 10*l + 7. Let q be s(10). What is a(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = p - 23 - 3, -2*p = 3*y - 75. Solve -61*l**2 + 23*l**2 - 5*l**3 - 10*l + y*l**2 = 0 for l.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14.51 + 14.5274. What is d rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 281 + -123. Suppose -147 = -2*s - 5*v + d, 4*v = -4*s + 616. Suppose 5*a - 5*l = s + 60, -4*l = -2*a + 94. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-51)\/(-15) - -1) + 6\/(-15). Suppose -34*z = -33*z. Solve 0*f - 4*f - p = z for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 4*a. Let i be u(2). Let b be i\/(-6)*(2 - 6\/12). Is b + -1 - (-2 - -1477)\/(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -28*l - 1843. Give i(-62).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -5 + 5 - d**3 - 12 + 6*d - 4*d**2. Suppose -3*c = -2*c - 6, 5*f = -5*c - 5. What is the units digit of j(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1169906, 1169904, 1169902, 1169900, 1169898, 1169896?\nAnswer: 1169894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-2) + (-218)\/(-4). Suppose u = 5*v - 46. Suppose 5*r = -2*w + 19, 4*w - 4*r + 0*r = 52. Calculate the lowest common multiple of v and w.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 8*o**2 - o + 3. Is i(-3) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from apaaaappaappakaaaaaa. What is prob of sequence ka?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/19550 and 67\/98690.\nAnswer: 192938950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-602 - -516)\/(14 + -8).\nAnswer: -43\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d. Suppose 0 = -g + 2*p + 5, 6*g = 2*g - 4*p + 20. Let r(j) = -2*j + g + 0 - 5. What is k(r(n))?\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1741 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1517764.02 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13618616*p + 75252805*p + 23097106*p.\nAnswer: 84731295*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 378637, 757893, 1137149, 1516405, 1895661?\nAnswer: 2274917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56 + 56.014. Let z = -0.314 + t. Let o = 3.5 - -0.5. Which is the second smallest value? (a) o (b) 1\/7 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*m - 938 + 1142 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*m - 131777672 + 131777672.\nAnswer: 22*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 41, -696 in descending order.\nAnswer: 41, 4, -696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -123\/1153171?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5413050 by -523.\nAnswer: -10350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 16, 1\/2, -46, -2145, -0.5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 119050720 rounded to the nearest 100000?\nAnswer: 119100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 809 is divided by 74.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001355148 rounded to 6 dps?\nAnswer: -0.000136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 3*a + 8*a)*(-1 + 1 + 1 + (4 + 15 - 8)*(-1 + 2 + 2))*(-10*a**4 + 2*a**4 + 4*a**4).\nAnswer: -680*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 5 - -6 - 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-5))\/p**1*p\/p**4*p**(-5\/6)*(p**4*p\/((p\/(((p\/p**(-3))\/p)\/p))\/p))\/(p*p\/(p**(-2\/3)*p)*p**(-4)) assuming p is positive.\nAnswer: sqrt(p)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*w - 32 = 4*w, -r - w = -14. Suppose 5*c + 3*h + 5 = 0, -r*h = 4*c - 17*h - 33. Solve 4*i = c*k - 10, -3*k + 0*i - 1 = -2*i for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 388487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6108 by 1527.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19149 - 6605 = 14*b. Is 32 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 287350 is divided by 15963?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 110445473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -221 + 1504. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 67143*j + 1074258. Calculate l(-16).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -120321212 + -2?\nAnswer: -120321214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 7774 = -n, -72*j = -n - 75*j + 7758. Does 70 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -164*i + i**3 + 0*i**2 + 165*i + i**2 to q*i**3 + w + d*i**2 + x*i and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1145622 a multiple of 270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -364, -1038, -1712?\nAnswer: -2386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2865 = 11*f - 3152. What is the remainder when f is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6999 is divided by 663?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 6. Suppose 0 = 5*v - 4*p - 16773, -g*v = -8*v - p + 6704. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7364236.8 to the nearest one thousand.\nAnswer: 7364000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10256 is divided by 512.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 9*g**3 + 814*g**2 + 1163*g + 549. What is d(-89)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 + -39. Which is the closest to m? (a) -0.1 (b) 0.3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*j**3*s - 72*j**2*s - 267*s - 1 wrt j.\nAnswer: -30*j**2*s - 144*j*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 540 = 4*h - 0*h. Calculate the highest common divisor of 90 and h.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -16*j**2 + 15*j - 14. What is o(1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-4 - 0) + 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(605) - (sqrt(605)*1*-6 + sqrt(605))**2)*3 + (sqrt(25)*2*1)\/(sqrt(5) - (sqrt(180)\/sqrt(4) - sqrt(5)))*4.\nAnswer: -45375 + 25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 11:23 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 - 285*g**3 + g**2 + 269*g**3)*(-2*g + 3*g + 2*g).\nAnswer: -48*g**4 + 9*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 1.923441.\nAnswer: -7.693764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12087878.53 minus -0.102652?\nAnswer: -12087878.427348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -109053005.99999976 + 109052996. Let f = k - -10. What is f rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-24)*(1 - 1 - 0). Suppose 25*g - 4*g - 189 = s. Sort 2, -2, g in ascending order.\nAnswer: -2, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -807*k - 2164*k**3 + 1 + 809*k - 103929*k**3 - k**2 - 23829*k**3.\nAnswer: -129922*k**3 - k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/3 + 1058*f\/3 + 352.\nAnswer: 2*(f + 1)*(f + 528)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ls when two letters picked without replacement from lthhstshshl.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*o + 0*o = -484. Let r = 4 + -2. Suppose 3*s - r*h = 48, -s = -0*s + 4*h - 16. What is the smallest common multiple of o and s?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+-16492588204\nAnswer: -16492588203.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 92 + -37. Let g = 32 - w. Let l = g + 17.7. Round l to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/((c*c*c**(6\/17)*c)\/c)*c*(c*c**(11\/3))\/c*c\/(c*c**(-6))*(c\/c**18)\/c assuming c is positive.\nAnswer: c**(-443\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**3 - 2173*d**2 + 1030*d - 61932. Give s(-1087).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01793 to 3 decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -345 in -0.04, 3, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*q = -5*i + 4, 0 = 5*i + 3*q - 1. Let d(w) be the first derivative of 3*w**2 - 2*w**3 - i - 4*w + 1\/4*w**4. Calculate d(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60000851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 32292816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 360\/(-252)*(-2618)\/255.\nAnswer: 44\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/6 of a hour?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - -2)\/(7\/(-7)). Is 13 a factor of (1 + 12 - x)*3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/40)\/(33\/792)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 938399 and -147.\nAnswer: 938252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -24255*l + 8804565. What is f(363)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 501762.3855 to the nearest one thousand.\nAnswer: 502000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5684871 is divided by 46?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 90294*b**4*u**2 - 3*b**3*u**2 - 14*u**2 - u + 8677 wrt b.\nAnswer: 361176*b**3*u**2 - 9*b**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 20*i - 1303. Calculate c(62).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -30*p**3 - 164*p**2 - 162*p + 1. Give m(-1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -851, -2, -4 in descending order.\nAnswer: -2, -4, -851","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 28737940.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 6*o = 0. Let c(l) = l**3 + 5*l**2 + 10*l + 26. Let y be c(-4). Solve y*u + u = 5*x + 4, -4*u - 2*x - 12 = o for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -17*y**6\/30 + 8*y**3\/3 - 12*y. Find the second derivative of h(k) wrt k.\nAnswer: -204*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/9, -4, 3\/13, 1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.882 + -3.882. Sort p, 0.04, -0.2 in decreasing order.\nAnswer: 0.04, -0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264756743 is divided by 7574.\nAnswer: 7573","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0)**(-5\/16)*(f**(-5\/4)*f)**(-4\/15) assuming f is positive.\nAnswer: f**(1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -13114 greater than -13305?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 4*n = 6, -2*m + n - 3 = -8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*h + 2 - 1 - 1 to a*h + s and give a.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*p**4 + 6069*p - 75515 with respect to p.\nAnswer: -28*p**3 + 6069","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -96181, -92062, -87943, -83824, -79705?\nAnswer: -75586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 752472300.\nAnswer: 2, 3, 5, 31, 80911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (58\/203)\/((-4)\/(-6))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/(c\/c**(-6)))\/c)\/c**6)\/(c\/(c\/(c*c**6))*c*c\/(c\/(c*c**(2\/3)))))\/((c**(1\/4))**40*(c**3\/c)\/c**(-4\/5)) assuming c is positive.\nAnswer: c**(-532\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 216987471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4357 (b) 3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = s - 4*s + 23, 2*s = -5*u - 23. What is the common denominator of ((105\/28)\/5)\/(s\/(-7)) and 47\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4571, -4326, -4081, -3836, -3591?\n\"Answer: 245*m - 4816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 7*d - 2*d - 4*o, -2*d + 15 = -5*o. Suppose d = -5*k + a - 4019998, -3*k - 830138 = -a + 1581860. Round k to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6382\/(-6096) + (-4)\/(-6). Let r = w - -2\/381. Which is the biggest value? (a) -3\/5 (b) -2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 5*l + 5122 - 5131, -3*j + 5*l - 17 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 10204557 divided by 1\nAnswer: 10204557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggigig. Give prob of picking 3 g and 1 i.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -99 + 71. Is d greater than -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41431 divided by -41431.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 9 (b) 6\/7 (c) 4 (d) 0.1 (e) 1\/6 (f) 61\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -5*v - 7. Let g(i) = i - 1. Let m(u) = 14*u - 4. Let d(h) = -10*g(h) + m(h). Let r(q) = 7*d(q) + 6*t(q). Let j(b) = 4*b + 3 - 3. What is j(r(n))?\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 63, 87, 105, 117?\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.816015 millimeters in meters?\nAnswer: 0.001816015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 47033, 47030, 47039, 47066, 47117, 47198, 47315?\n\"Answer: h**3 - 10*h + 47042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**3 - 2 - j**3 + j**3 - j**3 - 9*j**3 + 9*j**3 + 172 - 172 - 12*j**3 + (j**3 + 0*j**3 + 2*j**3)*(-3 + 2 - 1) - 5*j - j**3 + 5*j.\nAnswer: -17*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -43*g**3 - 7*g**2 - 16. Let r(l) = -44*l**3 - 5*l**2 - 13. What is -4*f(t) + 5*r(t)?\nAnswer: -48*t**3 + 3*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4093229 - 5808*d + 4093229.\nAnswer: -5808*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -12*a**3 + 487*a**2 + 698*a + 686. Calculate p(42).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 123685 divided by 5\nAnswer: 24737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 536 and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5267000 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8861690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 105564562 (base 8) in base 5?\nAnswer: 14134410040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2768.08 + 3463.598. Let o = 696 - q. Round o to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 656 + -0.3.\nAnswer: 655.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(104)\/(sqrt(8) - (sqrt(128) + sqrt(8))))**2 - (sqrt(832) + -1 + -3)**2.\nAnswer: -13155\/16 + 123*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 106820 and 480690?\nAnswer: 961380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 575341411 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 107 + -52. Let u(c) = c**3 + 14*c**2 + c + 19. Let x be u(-14). What is the greatest common divisor of v and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32230 + 370*p - 64446 + 32216 - 10*p**2 to the form l*p**2 + x + u*p and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -8 (c) -6\/145 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 201, 798, -2 in descending order.\nAnswer: 798, 201, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.2, -1982, 7\/2, 0.1 in descending order.\nAnswer: 7\/2, 2.2, 0.1, -1982","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97714*c = -97623*c - 2548 for c.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -17*g**2 + 4*g + 0*g - 4*g. Let c(d) = 162*d**2. Let t(i) = -5*c(i) - 48*j(i). Let s(o) = 8*o - o**2 - 8*o. Give t(s(q)).\nAnswer: 6*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27585*h**2 + 50*h**4 - 254*h - 27079*h**2 - 250*h**3 - 52*h**4 = 0. What is h?\nAnswer: -127, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*s = 30*s. Suppose s = -14*b + 16*b - 256. Round b to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12112 + 3*k - 4*k + 12110)*(k + 6*k + 7*k)*(-2*k**3 + 0*k**3 + 3*k**3).\nAnswer: -14*k**5 - 28*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 28. Let s be (-6 + 3)*(-76)\/f. What is the third biggest value in s, 1, -0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 114931*l**6 - 102*l**2 - 462*l - 2 wrt l.\nAnswer: 13791720*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l = -6*l + 450. Solve 20 = -5*d, -q = 4*q - 5*d - l for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 96*u + 173 = -89*u, 0 = 4*y - 4*u + 140 for y.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 188, 289, 392, 497?\n\"Answer: r**2 + 98*r + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-9)\/45 - (-4248)\/108*(-1)\/270 and (4\/45)\/((-9)\/(-55)).\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**4 + 116*s**3 - 780*s**2 - 900*s = 0. Calculate s.\nAnswer: -1, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**3\/9 - 396404*w**2\/9 - 6546810230*w\/3 + 17460979600 = 0 for w.\nAnswer: -99105, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 divided by 29.\nAnswer: 32\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of 5*u**4\/4 + u**3\/3 - u + 9. Let b(d) = -3*d. What is b(p(c))?\nAnswer: -45*c**2 - 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03745190989 rounded to four decimal places?\nAnswer: 0.0375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -626*p - 176 = -1244*p + 607*p for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 66351 (base 14) in base 5?\nAnswer: 30410434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 642*d - 3205. Let u be b(5). Solve 28 = u*g + 33 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 3*j**2 + 8*j + 5. Let o = -170 - -165. What is w(o)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*k = -373*k + 21*k - 3226 - 16703 for k.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -728 = -15*u + u. Let x be 12\/8*-2 + u\/18. What is the third smallest value in -0.4, x, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*h - 39. Let a(n) = -22*n - 11. Let i be a(-8). Suppose -3*j + i = -5*w, -3*w - 44 = -j + h. Is j a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1725 and 1425?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 514*b - 16516. Calculate z(30).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 17 - 2 = 0. Let j = p + 0. Suppose -2*m = y - 73, -j*m = 4*y + 19 - 141. Is m a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 440731\/2260609 + -4\/10229. Find the common denominator of -79\/507 and u.\nAnswer: 8619","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 4.08. Let v = q + 0.15. Let h = v + 1.93. What is the third biggest value in -4\/7, -2, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6506, 24, -2 in increasing order.\nAnswer: -6506, -2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 5 - 2)*(3*o + 2*o - 4*o).\nAnswer: 20*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 1. Let u(j) = j**3 - 8*j**2 - j - 7. Let t(r) = -5*a(r) + u(r). What is t(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-6*(1 + sqrt(2299))*-2 - (1 + sqrt(2299) + 4 - (1 + 1 + sqrt(2299)))))**2*1.\nAnswer: 9504*sqrt(19) + 1324548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w\/(w*w\/w**(3\/20)))*w**(2\/83)*w**(-3\/4)\/(w\/((w\/(w*w**(-12)*w*w*w))\/w)) assuming w is positive.\nAnswer: w**(6743\/830)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + -0.370539.\nAnswer: -0.870539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1718.0912 from -1039217.\nAnswer: -1040935.0912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1075\/3 - 214997\/600. Which is smaller: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 304 + -5c?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 9*m**3 + 22*m**3 - 16*m**3 - 48*m**2 - 18*m**3 - 192*m = 0.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000040451995 to 7 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29654 + 94709. What is the ten thousands digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 + -6 + (282 - -1). Suppose -2*n + 117 = l - 26, -4*n = -l - a. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 7*d**2 + 11*d - 2. Calculate the remainder when s(8) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65474892?\nAnswer: 2, 3, 7, 9623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36421580 is divided by 9643.\nAnswer: 9612","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2664 and 12.\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4*k - 4*g - 82, 0 = -4*k - 3*g + 151. Suppose -k = -2*w + w. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2)\/b*b)\/(b\/(b**(1\/3)\/b))*((b\/((b\/b**(3\/5))\/b))\/b)\/b*b**(-15)\/b assuming b is positive.\nAnswer: b**(-301\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 127163, 254336, 381509, 508682, 635855, 763028?\n\"Answer: 127173*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 7*p**2 + 12*p + 66. Let r be a(-6). Let d = r - 99. Does 49 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/28)\/(30\/(-21))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**3 + 102*d**2 + 79*d + 924. What is w(52)?\nAnswer: -376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-5) + (-36)\/10. Let f = -0.06 + 2.06. Sort -0.5, y, f in decreasing order.\nAnswer: f, -0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0197349 - -45114412.\nAnswer: 45114411.9802651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-364)\/26)\/(4\/(-6)). Calculate the highest common factor of g and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y + 5. Suppose f - 14 = -2*r - f, 12 = r + 2*f. Let s be w(r). Let b(n) = -n**3 + 8*n**2 + n - 10. List the prime factors of b(s).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 37122, 74287, 111496, 148749, 186046?\n\"Answer: 22*u**2 + 37099*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 114*f + 20. Let p be c(0). Let h be 45\/(-10)*4\/(-6). Let m be (-10)\/(-45) + (-34)\/(-9). Solve 3*z = m*a - p, -2*a + 20 = -h*z - z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 4056537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-51)\/170)\/((-1)\/(-2)). What is the nearest to -0.1 in -3\/4, 2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.07 + -0.13. Let c = 0.9 - 0.4. What is the third smallest value in b, c, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2102000211 + -222021?\nAnswer: -2110000002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13071?\nAnswer: 3, 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - -2 - (1 - 4). Let c(b) be the first derivative of 67*b**3 + b**2 - b + 2. What is the units digit of c(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/2 of a millimeter in micrometers?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**5 + 2*d**5 + 2*d**5)*(3 + 3 - 7 - 5 + 2 + 4 + (-3 + 2 + 0)*(-1 - 4 + 6) + 599 - 1504 - 1361).\nAnswer: -4534*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38272234 and 131219088?\nAnswer: 918533616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4148649 is divided by 95.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/11735021 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -130346?\nAnswer: 130346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 g when four letters picked without replacement from bbjbbjggbjbjgjbbjbg.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - j**2 + j - 1. Let t be k(2). Let i = 1955 - 1949. Solve t*w = i*w + 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l, 2*x - 4*x + 2*l - 8 = 0. Let c(r) = -6*r - 15. Calculate c(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 706*a**2 - 706*a**2 + 0*a - a**3 - a. Let q(j) = j**3. What is -i(z) - 2*q(z)?\nAnswer: -z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c (base 16) to base 14.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -4129 (c) 0.5 (d) -1.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -718, -1377, -2046, -2725?\n\"Answer: -5*f**2 - 644*f - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 1372501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10920 is divided by 271?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4\/8 - z**3\/4 - 3*z**2\/8.\nAnswer: z**2*(z - 3)*(z + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -9*n**2 + 816*n - 559. Give j(90).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/18 and -89\/732?\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(133) - 6*3*sqrt(133)))\/(sqrt(252) + -3*sqrt(252) + sqrt(252)) + 2)*-4.\nAnswer: -170*sqrt(19)\/3 - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2. Let q(f) = -1504771*f - 2. What is q(v(p))?\nAnswer: -3009542*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6598611 by -12.\nAnswer: -2199537\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2662133 - -0.288956. Let l = n - 0.0227. What is l rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (1*(sqrt(2) + 1) + -4 - -4*(2 + (1*sqrt(2) - sqrt(2)))))**2.\nAnswer: 12*sqrt(2) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 3:51 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 469?\nAnswer: -468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 120 - 121. What is the hundreds digit of (270 - 38) + (p - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 4. Let y = j + 4. Let g = 0.01 + -4.01. What is the biggest value in 1\/4, g, y?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 12 = -d + 2*d, 5*d - 4*r - 3 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214101.\nAnswer: 3, 23789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 2)*((-4*y + 4 - 4)*(2 - 3 - 1) + 3*y - 5*y + 6*y) + (-3*y + 2*y + 3*y)*(3 + 3 - 3).\nAnswer: -18*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 1:13 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g - 1. Let c be h(-2). Let i be 6\/2*2\/c. Calculate the highest common divisor of 22 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r - 27 = 5. Which is the third smallest value? (a) 3 (b) 5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o - o - 29*o)*(2*o**3 - 4*o**3 - 3*o**2 + 3*o**3).\nAnswer: -34*o**4 + 102*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 2:01 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3069*i**2 - 17*i. Let b(f) = 4*f. Determine b(p(s)).\nAnswer: -12276*s**2 - 68*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*j + 7 = 0, -2*j - j = -3*z + 12. Let g be z - (-4)\/((-12)\/15). List the prime factors of (g - -5) + (-1 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 3*t**5\/20 - 37*t**4\/4 + 83*t**3 - 288*t**2 + 233*t - 2. Suppose a(r) = 0. Calculate r.\nAnswer: 2, 3, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4*h - 15 = 0. Suppose -2*j = j - h. Suppose -b - 3*y = -0*y + 12, -j*b + 4*y + 16 = 0. Let o(d) = -d + 5. Determine o(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19*x + 316 - 316)*(4 - 11 - 2)*(2 - 2 - 3*x**2) in the form o*x + q + a*x**3 + y*x**2 and give a.\nAnswer: -513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/1 + 2 - 5. Let x = f - -8. Suppose -l = x*l. Solve l*h - 3*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ynuoavo. What is prob of sequence oy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -w**2\/2 + 8. Let q(r) = 6*r. Determine m(q(y)).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 73.5 + -71.5. Are r and 30 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 8 = -98. Solve 4*s = -1 - i for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -160, -321, -484, -649, -816?\n\"Answer: -t**2 - 158*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-9))\/(((-4)\/2)\/2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1032 + -2354?\nAnswer: -1322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/3 - 2640*n + 20594929\/3.\nAnswer: -(n - 2063)*(n + 9983)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.46748833 rounded to three dps?\nAnswer: -0.467","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 62*g**2 - 11*g + 21. Let f be c(4). What is the highest common divisor of 57 and f?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -205, -235, -265, -295, -325?\n\"Answer: -30*c - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 3*p**3 + 10830*p**2 + 129444*p - 302232 = 0.\nAnswer: -3598, -14, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -111101 (base 2) to base 5\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2.5, -0.5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-15)*-154*33\/(-440)*2*-1?\nAnswer: 77\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 69*b - 68*b + 263918 = 0, -3*b + 527841 = 2*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of b**4\/8 + 236*b**2. Let g(p) = -3*p**2 + 28*p. Give u(g(m)).\nAnswer: -9*m**2 + 84*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.3, 21, -3\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2227163089 rounded to 5 dps?\nAnswer: 0.22272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45 - 40. Let t = -1 - 0. Let a be (2\/(-4))\/((-1)\/2). Sort a, t, i in decreasing order.\nAnswer: i, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) -37 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 2*j - 22 = -j, 0 = -5*a + 5*j - 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/21)\/((-5)\/(-15))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m + t - 37, 1682*m + 4*t - 136 = 1688*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2*(-2*(sqrt(1100) + 1) - sqrt(1100))*-4 - ((0 + 1 + sqrt(1100))*4*-2)**2).\nAnswer: -211344 - 3120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - t**2 - 4*t - 3. Let a be u(-2). Let p = a - -7. Suppose -m - 3*m = p. Solve -2*z + 6 = -m*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(539) - sqrt(539))*6 + ((sqrt(539) + 1)*6 - sqrt(539)) + sqrt(539) + 4)**2.\nAnswer: 840*sqrt(11) + 19504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1679686 is divided by 559843?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2208 divided by 2208?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (6 + 88\/(-12))\/(4\/(-306)) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 666959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8660 + -8656. Let y(v) = v - 8. Let k be y(6). What is the biggest value in k, g, -7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18829662 smaller than -207126285\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 1586*g**2 - 3185*g**2 + 1597*g**2. Let m(i) = 59*i**2 - 3. What is m(z(p))?\nAnswer: 236*p**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wv when two letters picked without replacement from {w: 12, v: 3}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 113456130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.36 + -0.86. What is the closest to -1\/14 in 2, p, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15.1 + 15.318. Let g = u + -0.452. Round g to two decimal places.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 99 - 99.1. Let o(y) = 3*y**2 - 23*y + 13. Let u be o(9). Let l = u + -32. Is b smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118043 is divided by 131?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 28237840 and 28237841 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (20*m + 13*m + 22*m)*((2 - 3 + 3)*(3*m + 0*m - 4*m) - m - 1 + 1) in the form y + z*m**2 + q*m and give z.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.81 - 363.19. Let w = -367 - f. What is the closest to 2\/7 in 0.3, -4, w, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6173 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 608909917 - 608909839.0000073. Let n = 78 - l. Round n to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -4*c + 23 - 203, 0 = 5*m - 15. Let a be (-7)\/(c\/(-200))*3. Let s = 154 + a. Is 19 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-32) - (-2)\/72. Which is the closest to i? (a) -4 (b) -0.15 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -9, -1276, 1\/10, 4\/7?\nAnswer: -1276","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/14*(-1 - -11). Suppose m*r - s = 4*r + 62, 3*r + 4*s = 172. Suppose 5*j - r = j. Solve 4*y - j = -u, y - 6*y + 2*u = -22 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -392 + 597. Let c = d - 1849\/9. Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 2 = 0, 4*t - 3*j + 7 = 66 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36 by 12967998.\nAnswer: 6\/2161333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 + 22038*d - 36245880.\nAnswer: -3*(d - 4860)*(d - 2486)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3371 - -127997\/38. What is the common denominator of m and 4\/209?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52 + -49. Suppose -4*j + 2*q + 2154 = 0, -5*q = -d*j - 2*j + 2700. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20907 and 5304015.\nAnswer: 909","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -337 + 183. Do m and -154 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6033551741?\nAnswer: 7, 307, 401087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1 and 21134.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/10128 and 9\/6752?\nAnswer: 20256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 29*v**2 + 11*v - 222. Give s(30).\nAnswer: -792","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -5*b**2 + 1. Let k(t) = 52*t**3 - 15*t**2 + 56. Let a(r) = -12*h(r) + 4*k(r). Differentiate a(c) with respect to c.\nAnswer: 624*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9858, -19723, -29588, -39453?\n\"Answer: -9865*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) -0.5 (c) 5 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64 + -62. Let d = 6 - 3. Which is the second smallest value? (a) d (b) w (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 9:30 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 294195887 to the nearest integer?\nAnswer: 17152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16267802 is divided by 856200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/380 and 109\/1700.\nAnswer: 32300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 891272 is divided by 10125?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2739)\/20999)\/(57\/69)?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3272068022?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 7 + -4 + 6 + (17 - -16)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -1. Suppose n = -2*m - m - 5*q + 37, -2*m - 3*q + 23 = 0. Let b = -168 + 178. Solve -2 = m*s + b for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -85 + 93. Let s(c) = 22*c + 54. Does 13 divide s(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, -4, 4, 0 in descending order.\nAnswer: 41, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f - 1. Let t be o(4). Suppose 4*d - 5 = 5*x, -2*x - d = t*x - 20. Let k(q) = 64*q**2 - 2 - 63*q**2 + 4 - q. Give k(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssowoostss. What is prob of picking 1 t and 1 w?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 6*j**2 - j - 1. Let q be r(-6). Let k(s) = -8*s + 1. Let p be k(2). What is the remainder when -3 - q\/(p\/42) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 52, 0, 11, 1 in descending order.\nAnswer: 52, 11, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 82339\/9 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18129600 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.46, 2\/47, 4?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46\/5 of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7728*i = 2*w - 7731*i + 101, -34 = w - i for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2 - 14 = 0. Suppose z = -1 + a. Suppose -5*x - 4*b + 18 = -3*x, -5*x = -4*b - 3. Solve z + 1 = -x*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 3*y + 0*y)*(-5 + 2 + 1) + 3*y - 2*y - 3*y + (-y - 2*y + 2*y)*(-3 - 2 + 4).\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + w. Let b be m(0). Suppose 2*f + b*f - 6 = 0. Suppose f*i = -j + 21, 2*i + 5*j = 35 - 8. Solve i = 3*g - 9 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2. Suppose 1915*m = 1933*m. Let f(b) be the third derivative of 0 + 0*b**3 + 8*b**2 + m*b + 1\/8*b**4. Determine h(f(p)).\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1328 and 32?\nAnswer: 2656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(4\/5))**(2\/3)\/(s**3\/s)**(24\/7) assuming s is positive.\nAnswer: s**(-664\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*t - 439*u = -435*u + 178, t - 65 = 5*u for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -s**4\/12 + 11*s**3\/6 + 3*s**2\/2 + 7*s. What is the units digit of o(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 57*w**4 - 63*w**3 - 51*w**2 + 404916*w + 1 wrt w?\nAnswer: 684*w**2 - 378*w - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7878 and 5067.\nAnswer: 13305942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 107, 180, 271, 386, 531, 712?\nAnswer: 935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*k**3 - 157*k**3 - 302*k**3.\nAnswer: -541*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 39300799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*x - 23 = 0, 6*w + 3*x + 27 = 3*w. Let i(z) be the first derivative of -7*z**2\/2 - 10*z - 8. What is the units digit of i(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 6*g - 5. What is p(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*k - 4*j, 4*j = -20 + 32. Let m(w) be the first derivative of 5*w - 5\/4*w**4 + 0*w**2 + 1 + k*w**3. Differentiate m(y) with respect to y.\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -0.2301712?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-10))\/(1092\/(-455)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-7))\/(c**(-2\/17)\/c) assuming c is positive.\nAnswer: c**(155\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + j + 80. List the prime factors of q(0).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/10)\/(-1)*-5. Factor 0 + 1\/4*d**4 + 0*d**k + 0*d - 1\/2*d**5 + 1\/4*d**3.\nAnswer: -d**3*(d - 1)*(2*d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 13*o + 54. Calculate the remainder when i(13) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*a = 16*a + 23480. List the prime factors of a.\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + 0. Let d = 0.3 - i. Let j be -14*2\/12 + 3. Is d at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -3*k + 4*w, -15*k + 17*k + w - 3 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 499 = 26*u - 21. Suppose u*h - 20881 = -6961. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in 0.1, -68, 4\/7, -31, -10?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -40a5 (base 15) in base 11?\nAnswer: -a294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2158777.2 - -2158776.81999909. Let d = v + 0.38. What is d rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 2711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, r: 1, b: 3, c: 3}. Give prob of sequence rcb.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -308.4, 3, -1\/7?\nAnswer: -308.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of r**6\/60 - r**5\/60 - 7*r**2\/2 + 2*r. Let y(n) be the first derivative of p(n). What is the third derivative of y(i) wrt i?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 1133?\nAnswer: 1130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2*w + 14, 8 = -4*y + y - w. Put y, -1, -2 in decreasing order.\nAnswer: -1, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -3 (b) 9 (c) 0.1 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22337 is divided by 887?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6276*s + 5663*s = -13486 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -31*s + 19. Let m = -21 - -10. Let g be d(m). Suppose -2*j = 3*j - g. Is 30 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 3)*(2 + f + 1 - 1) + f + 2*f - 2*f.\nAnswer: 3*f + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105212.\nAnswer: 2, 29, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1233\/4 + 615\/2*z - 3\/4*z**2.\nAnswer: -3*(z - 411)*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/(sqrt(20)\/sqrt(2)))\/(sqrt(3) + sqrt(363)*-1 + sqrt(363)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 685 + 622. Let l(w) = 1 - 4*w - 5*w**2 - q*w**3 - 2 + 1301*w**3. Let k(g) = -3*g**3 - 3*g**2 - 2*g - 1. What is 5*k(p) - 3*l(p)?\nAnswer: 3*p**3 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 21670387 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b + 4. Let x be f(3). Suppose 2*m = 6, 5*g - 3*m - 3 = -12. Solve g = -5*r - x + 17 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 292*j + 1749. Let f be t(-6). Let y(k) = -k**3 + 7*k. Let g(w) = w**3 + w**2 - 6*w. Determine f*g(p) - 2*y(p).\nAnswer: -p**3 - 3*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1844863.\nAnswer: 1844863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-11)\/(-374))\/((-2)\/8). Is d at least as big as 0.04?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (56 + 5*u - 56)*(3 + u - 3) + (-8 + 23*u + 8)*(u + u + 20*u) to m*u + c*u**2 + s and give c.\nAnswer: 511","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 + -28. Is (13 - 10) + (-2)\/a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(300))\/sqrt(10) + sqrt(750)*1)\/(((sqrt(80) - sqrt(80)*-2) + sqrt(80))\/sqrt(8) + sqrt(50)\/(sqrt(15)\/sqrt(3))).\nAnswer: 3*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 3*u**2 - 4*u - 1. Suppose 0*g + 3*g = -9. What is the tens digit of o(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/((u*u**(-4\/5))\/u*u)*u*u**(-1\/2))**(26\/5))**(-15\/4))**(-11\/3) assuming u is positive.\nAnswer: u**(1859\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19806043, 19806044, 19806045, 19806046, 19806047, 19806048?\nAnswer: 19806049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 436584 and 36?\nAnswer: 1309752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 25190324 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*11\/3 + 4\/6. Sort -5, i, -4, -43 in descending order.\nAnswer: i, -4, -5, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4768 - 1357\nAnswer: -6125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, v: 1, n: 5, q: 7, d: 4, a: 2}. What is prob of sequence pnp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -9 + (-8 - -29) + -14 + 25\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 517161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 869826, 869827, 869828?\nAnswer: 869829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/26)\/((w*w**11)\/w))\/(w*w**(-1\/8))**22)**(27\/5) assuming w is positive.\nAnswer: w**(-42417\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1168, 0.1, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*((-10)\/(-8))\/((-22310)\/388).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-19 - 4)*1\/2 and 2\/8*670\/(-55).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (19 - 5) - (-1 - 43)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**2 + 29*c + 9. Let h be r(-14). Let t = -1 - h. Find the third derivative of -6*s**5 + t*s**2 - 3*s**5 - 2*s**2 + 25*s**2 wrt s.\nAnswer: -540*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + -4. Suppose 3*l - 157 = -4*o, 3*l - 24 = 4*o - 187. What is the remainder when o is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - u - 1. Let c(l) = 10*l**2 + 7*l + 22. Let d(i) = c(i) + 2*h(i). Let n be d(-8). What is the common denominator of 85\/6 and 2\/(8\/n*16)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 0.09149834.\nAnswer: 0.09149834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 7*z**2 - z - 2. Let a be (-2)\/(-6) + 10\/(-3). Calculate the remainder when b(2) is divided by (a + 1 - -2) + 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5107306.\nAnswer: 2, 29, 173, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/47, -4, -0.2, -2 in increasing order.\nAnswer: -4, -2, -0.2, 4\/47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -6*j - 93. Give r(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 0*m + m)*(2 + 2 - 3) + (-3 - 1 + 1)*(-15 + 15 + 6*m) + (1 + 0 + 1)*(-4 + 4 + m) - 3*m - m + 6*m - 2*m - 3 + 3.\nAnswer: -18*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 3:11 PM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/125008 and -149\/93756.\nAnswer: 375024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 309*c**2 + 944*c - 1119*c**2 - 944*c to the form r*c**2 + v*c + w and give r.\nAnswer: -810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 o when four letters picked without replacement from {g: 3, m: 2, x: 3, t: 3, o: 2}?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 7*r. Let w = 21 - 15. Determine c(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143 = 19*s - 180. Solve 4*v + a - s = -2, -5*v + 3*a = -6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 - -42. Let f be (-21)\/49 - (-20)\/14. Sort f, 12, d in ascending order.\nAnswer: f, d, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14091, -26450, -38809, -51168?\nAnswer: -63527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2032660 divided by -4?\nAnswer: 508165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-6)*((-36)\/(-12))\/1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of 0*r**3 - 2*r**2 + 0*r**4 - 12*r + 1\/60*r**5 + 0. Let g(j) = 17*j. What is q(g(i))?\nAnswer: 289*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 20. Suppose l*z = 7*z + 1. Which is greater: z or -2\/55?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*(-2*6\/4)\/(549\/244).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 8*q**2 - q - 4. Let n be i(-8). Which is the closest to -1\/7? (a) 0.18 (b) -4\/5 (c) -1\/7 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 9) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18367 + -26099515\/1421. What is the common denominator of -5\/406 and r?\nAnswer: 2842","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-3 + 3*sqrt(17) - (sqrt(272) + 1) - (sqrt(2057) + 0 + -2)*-4) + 0)**2.\nAnswer: -1032*sqrt(17) + 31582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22815 divided by -135.\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/8, -2\/289, 33, 3236?\nAnswer: -2\/289","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 111*n**5 - 10*n**2?\nAnswer: 6660*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 472844 to the power of 1\/2, to the nearest integer?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 - 21. List the prime factors of p\/(-5) - 4726\/(-85).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2091*l**2 + 8008. Let o(v) = -v**2. Determine f(o(j)).\nAnswer: 2091*j**4 + 8008","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a + 2*x + 18, -5*a - 55 = -9*x + 25 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1442 divide 61231646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-10))\/(7965\/(-2124)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 3*m - 25. Let a be x(7). Factor -39*k**a + 18*k**3 - 5*k**2 + 26*k**3.\nAnswer: 5*k**2*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -1.65, 14\/9, -1\/18, -3 in decreasing order.\nAnswer: 14\/9, 2\/9, -1\/18, -1.65, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 14689.929 to the nearest one hundred.\nAnswer: 14700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95321235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 11822*v + 271945. What is q(-23)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2440 * -0.597.\nAnswer: 1456.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 58\/(-18) - (-24)\/108. Let k = -57.8 - 16.2. Let r = 75 + k. What is the closest to r in x, 1\/2, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.43036 - 0.2301. Let y = i - -27.82574. Let m = -28 + y. What is m rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 2 = 4*t, c - 1228 = 2*t - 1217 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 9*p + 12. What is the lowest common multiple of (45\/(-6))\/(6\/(-16)) and q(8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9923882?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.5 + 1.5. Let k = -6.1 + u. Suppose 1 = -n - 1. Is k != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 318350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43258, 43464, 43670, 43876, 44082, 44288?\nAnswer: 44494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.9 - 3.1. Let g = 0.05 - 1.05. Which is the smallest value? (a) 0.1 (b) -0.3 (c) g (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h = -381 + 3081. What is the greatest common divisor of h and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5190 - 1535. What are the prime factors of x?\nAnswer: 5, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-10))\/((-6)\/3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (11\/(-1) - -1). Let r = a - 6. Let b(f) = 2*f**2 - 1 + 3*f - 10*f + 0*f**2 + 3*f. Determine b(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*2841.\nAnswer: -284.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/400*-4*(-24)\/9*40?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 18*u**2 - 17*u + 26. Calculate v(-19).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0669279 rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 70.63776 months?\nAnswer: 0.00588648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 2*d - 3. Let a be c(-5). Let f be (10\/4)\/(2\/a). Let g = 76 - f. What is the remainder when g is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 872 = n + 1724 - 862 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/9 - 1192762*c\/9 + 11927420\/9.\nAnswer: 2*(c - 596371)*(c - 10)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/7 (b) 9\/4 (c) 1831\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 174.\nAnswer: 1\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1270 and 2223135.\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -396841\/26 + 15266. Let o = -898913\/396 - -41963\/18. Let z = -864\/11 + o. Find the common denominator of h and z.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 913464 and 189?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39.71 - 40. Let b = c + -0.11. Let r = b - 7.6. Put 5, r, 2\/15 in descending order.\nAnswer: 5, 2\/15, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4483 + -4340. Which is greater: i or -8822?\nAnswer: -8822","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 906 = q, -4*m + 2*q + 1219 = 331. Let x = 123 + -66. What is the remainder when m is divided by x?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d - 3*d + 5*d + (0 + 3 - 1)*(5*d - 2*d - 4*d) - 2*d - 3*d + 3*d + (3 - 2 - 2)*(0 + d + 0) + d + d - d + d + d - 4*d.\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4020 and 44580?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5158, -5156, -5154?\nAnswer: -5152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 51 and 4.\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -o**8\/60480 - o**7\/5040 - o**6\/1080 + o**5\/20 + 3*o**2. Let u(z) be the third derivative of a(z). Solve u(s) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2\/125 of a gram?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1154.\nAnswer: 2, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-128)\/26 - 13\/(-1)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -123 + 42. Let g = t - -133. Let z = g - 52.000023. What is z rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wbewhwe. Give prob of sequence eeh.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 7\/5, -3, 4, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3777 is divided by 126.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - -6*2*sqrt(136)) + -5*sqrt(136)*-2)\/(sqrt(16)\/(6*(2*sqrt(2) - sqrt(2)))).\nAnswer: 138*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 + 26.7. Let g = 161.994 + -162. Let k = 0.394 - g. Put k, -3, h in ascending order.\nAnswer: -3, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (33\/(-110))\/(732704\/(-366370) + 2). Let g = n + 3055. What is the common denominator of 2\/81 and g?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*g = -259 + 337 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/2 - 12\/8. Let g(x) = 1 + 2*x**2 + 5*x - 6*x**3 - 4*x + x + 2*x**3. Let t be g(-1). Put t, w, 4 in ascending order.\nAnswer: w, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*k - m - 255 = 0, -4*m = -2*k + 84. Let y(z) = -k - z**2 + 52. Let l(x) = 20*x**2. Give l(y(t)).\nAnswer: 20*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 8.27.\nAnswer: -8.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59*s + 31*s + 3 + 28*s - s**3 to c + b*s**2 + l*s + u*s**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5055302537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p = -5*p - 5. Calculate the highest common factor of 11 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4613 = -2*g - o, -3*g = -0*g - o + 6907. What is the remainder when g\/(-84) - 12\/(-21) is divided by 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63 + -56. What is the remainder when 10 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 1, 2*k = 4*o + o - 352. Let t = o + -46. What is the remainder when t is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + -19 + (33 - 7) - 112?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-4))\/(6\/(-16)). Suppose g - 3*j - 15 = -g, -12 = -5*g - j. Let w be (-8)\/(-20) - 236\/(-10). Solve 2*d = g*d - 2, 0 = -k*n - 4*d + w for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 1:48 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32740803?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -2 (c) -3.2 (d) -106521\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -3, 5, -13\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 4*d**2 - 2*d - 1. Let f(h) = h**3 - h**2 - h - 7. Let u be f(0). Let j = u - -3. List the prime factors of q(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28709 + 114837\/4. What is the third smallest value in h, 6, 38\/5?\nAnswer: 38\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five quarters of a day?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 301*y**3 - 301*y**3 + 285*y**5 + (1 - 1 - y**3)*(y**2 + 3*y**2 - 3*y**2).\nAnswer: 284*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/1)\/(0 + 18\/24). Suppose o - 110 = -o + n*m, -2*o - m + 120 = 0. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 100*u**2 + 198*u + 210. Let q be s(-98). Put -0.1, q, -1\/3, 0.1 in decreasing order.\nAnswer: q, 0.1, -0.1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3909812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z - 3*z + 0*z + 6*z + 0*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7 - -1 - -7*160\/(-144) and 0 + (-120)\/9 + 2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and -88967?\nAnswer: -622769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 12 - 37 = 0. Sort 11, f, 0 in decreasing order.\nAnswer: 11, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -8*c**2 + 10*c - 8. Let y be p(1). Let v be 504\/(-28)*(-15)\/y*-1. Calculate the greatest common factor of v and 240.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10664 divided by -8?\nAnswer: -1333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**3 - 25*u**2 + 12*u + 13. Let i be 118\/(-9) + 9\/81. Is 13 a factor of k(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*h - 26 = -13 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -46? (a) 0.4 (b) 0.3 (c) -5 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -44 + 101 + c - 56 - 3*c + 5*c**3 - c**4 + 4*c**2 in the form u*c**4 + p*c**3 + i + d*c + h*c**2 and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 55 = c + 4*c - 112, -5*c + 835 = -17*b - 622 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 6*q - 14. Let y(z) = -z**2 - 7*z - 15. Let d(r) = -6*n(r) + 7*y(r). What is the lowest common multiple of 8 and d(-10)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 8*q**2 - 9*q + 7. Let n be c(6). Let v = 238 - 235. Suppose 0 = v*i - n + 1. Solve -k - i = k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -12*p + 24. Let q be g(1). Solve 0 = -c + 3*i - 1 - q, -2*c + 5*i = 21 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.42 times -4?\nAnswer: -25.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -99 + 107. Solve -2*a + n = -2*m, -2*a + 13 - 17 = 4*m for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1150 and 9903800?\nAnswer: 9903800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(2\/11)*f)\/(f\/((f\/(f\/f**(-12)))\/f*f*f)))\/(f**(-2\/15))**29 assuming f is positive.\nAnswer: f**(-1042\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8241.944 grams?\nAnswer: 8241944000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 25324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -463.9*42\nAnswer: -19483.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/89 (b) -0.01 (c) 0.16 (d) 0.4 (e) 9 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -78*o + 5 + 83*o - 337*o to the form m*o + s and give m.\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1835 + -1816.025. Let i = k + -19. What is i rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21.8 + -21.92. Put i, 0.4, 0.1, 3 in descending order.\nAnswer: 3, 0.4, 0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -162 + 237.4. Let n = 76 - h. What is the closest to n in 3, 0.2, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*h**4 + 4*h**2 + 117 with respect to h.\nAnswer: -88*h**3 + 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, -3\/4, -465, -3, 114, -16?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3574*h**3*i**3 + 110*h**3*i**2 - 19*h**3*i wrt i.\nAnswer: -21444*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4065\/33 + 4\/(-22). Suppose -5*l + 2 = -f. Is l a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 8. Let f = 10947 + -10945. Sort 12, f, 1, d.\nAnswer: 1, f, d, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -70 + 98. What is the second derivative of n*k**5 - 168*k**3 - 9*k + 168*k**3 wrt k?\nAnswer: 560*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, 3\/20, -4, 5, 2.8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -63399 - -19526833\/308. Let n = 31\/56 + -1969\/168. Find the common denominator of i and n.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k**2 + 21*k + 1. Let x be d(4). Suppose -3*a + 43 + 11 = 3*v, 0 = 5*a + 10. Calculate the greatest common divisor of v and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i + 2. Let z(o) = 1914*o + 23. Give 22*c(j) - 2*z(j).\nAnswer: -3806*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 364 + 378 + 1184*h**4 - 739 + (-3*h - 3*h + 7*h)*(-h**3 - 2*h**3 + h**3).\nAnswer: 1182*h**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 1\/7, -9569, -2\/11, 5, -1 in decreasing order.\nAnswer: 5, 1\/7, -2\/11, -1, -14, -9569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/2041143 or -1?\nAnswer: 1\/2041143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4414 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -7374a (base 14) in base 11?\nAnswer: -180337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 408*u**4 - 929*u**2 + 281*u + 464*u**2 + 464*u**2 wrt u?\nAnswer: 4896*u**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28646262599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 5*v - 2. Let o be f(-6). Let g = 0.04 - 0.09. Let y = g + -0.05. Which is the closest to y? (a) -0.1 (b) -4\/3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8555*g**2 + 4536*g**2 - 5769*g**2.\nAnswer: -9788*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) 3\/197 (c) -3\/44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 34482401 to the power of 1\/3, to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 6*b + 4. Let k be v(-8). Let c = k + 13. Calculate the remainder when c is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + 38 + 3 + 28?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -33, -46, -55, -60, -61, -58?\n\"Answer: 2*i**2 - 19*i - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 3*y**2\/5 - 139419*y\/5 - 1533972\/5 = 0.\nAnswer: -11, 46484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 237203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 28103639 times 0.1?\nAnswer: 2810363.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7 + 6 + -5 - 6. Factor 0 + 0*d + 2\/3*d**w + 2\/3*d**5 - 2\/3*d**3 - 2\/3*d**4.\nAnswer: 2*d**2*(d - 1)**2*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.50447952292472 and 5.\nAnswer: 2.49552047707528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u**3 + 83*u**2 - 28*u + 5. Let r be d(-28). Solve -5*i - 15 = r*k, -3*k = -4*i - i - 31 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-160)\/(-5)*-1)\/((-51)\/((-1632)\/64)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/2))**(-2\/49) assuming c is positive.\nAnswer: c**(1\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/9, -1, 4, -11\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u**3 + 14*u**2 - 18*u - 2. Let l(r) = -r**3 - 5*r**2 + 6*r + 1. Let d(g) = -4*j(g) - 11*l(g). Let x be d(2). Sort 2, x, 1.\nAnswer: x, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3979, 16010, 36069, 64162, 100295, 144474, 196705?\nAnswer: 256994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**2 + 2*w**2 - 6*w**2 + 232 + 66*w**2 - 232 + (-2*w + 5*w - 2*w)*(-1 + 1 - 2*w).\nAnswer: 63*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -o**6\/135 + o**5\/10 - 11*o**4\/27 + 32*o**2\/9 - 31*o. Let i(c) = 0. Calculate c.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 488444 + -178046. Suppose 2*d - 5*s - 726627 = g, 2*d = -2*s + 1037046. Let x = d + -218520. Round x to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36208 smaller than 36232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**3 - 62*a**2 - 2*a + 50. Give l(-31).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9*(6\/(-9) + 1). Suppose r - 297 = m - 0*m, -1195 = 4*m + c*r. Is m*((-1)\/2 + 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*l + 732 = -148*l. Calculate the remainder when l is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fsp when three letters picked without replacement from {h: 3, f: 5, b: 3, s: 1, p: 1}?\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4 = -2*y, 4*y + 20 - 4 = 0. Let t(d) be the third derivative of 0 - 2\/105*d**5 + 5\/84*d**4 + 2*d**2 - 1\/140*d**6 + 2\/21*d**f + 0*d. Factor t(g).\nAnswer: -2*(g - 1)*(g + 2)*(3*g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01541195814 rounded to five dps?\nAnswer: -0.01541","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -76 and -0.05?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sxwwxwjw. What is prob of picking 1 j, 1 s, and 2 x?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1653*g + 24443 + 43065 + 22161 - 15284 for g.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4438*z - 4420*z = -216 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*b**3 + 14*b**3 + 3*b - 26*b**3.\nAnswer: 13*b**3 + 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 13. Suppose f + 5*t = -f, -3*f + 9 = 3*t. Which is the closest to 1? (a) 2 (b) o (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 306542603 to the power of 1\/3, to the nearest integer?\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4063 = 104*s - 2801. Let b = 6 - 2. Suppose b*o - 121 = -4*w - 37, 2*o + w = 38. Calculate the remainder when s is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -72\/19, -1, 2\/7, 3, -24, 5, 0.13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 5:59 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4*m**2 + 2*m**2 + 0*m**2. Let n(q) be the second derivative of -7*q**4\/6 - 13*q + 82. What is z(n(c))?\nAnswer: 1176*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/(-352))\/(2\/(-356324)). Let q = i + 4045. What is the common denominator of q and -67\/14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02189 to 3 decimal places.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (45\/(-2))\/(-1)*126\/315. Solve -11*v + s*v = 3*o + 3, -3*o - 21 = -4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 - 38*t - 77. Calculate the remainder when u(-15) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a century in years?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -p**4\/24 - p**2 - 138. Let r(o) = o + 208. Calculate q(r(s)).\nAnswer: -s - 208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = 3*r + i, 0 = -r + 4*i - 270 + 267 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 3 = 17 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/10 of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5407955 and 217770.\nAnswer: 32447730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -r**4\/12 + 25*r**3\/6 - r**2 - 5*r. Calculate i(14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2)*g\/(g*g\/(g\/((g\/(g\/(g\/(((g**0*g)\/g)\/g))))\/g)*g)*g)*(g\/((g\/(g**(-1\/2)*g))\/g))**45)**(-26))**1 assuming g is positive.\nAnswer: g**(-1677)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-716)\/6 + (-4)\/6. Let q = -40 - y. What is the greatest common factor of 10 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {j: 2, b: 9}.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*j + 703635 = -1128045. Round j to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-24)\/(-8)*(-3)\/18*-4. Solve -3*n + 5*n = 0, -2*u + 4*n - a = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -184 - -187. Let t = -11.3 - -0.3. Let y = -22 + 27. Put -4\/3, y, t, z in decreasing order.\nAnswer: y, z, -4\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-198)\/20 + (19 - 18) + (-8)\/80?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -4. Which is the smallest value? (a) 2\/3 (b) -2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-53)\/(-530)*5*148\/(-2)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 337724 - 346656 = -154*b for b.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 650 and 9932?\nAnswer: 248300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0056452476 to six dps.\nAnswer: -0.005645","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j + 2*j - 4*j**2 + (-298*j + 13*j**2 + 298*j)*(3 + 2 - 3) to l*j**2 + g + a*j and give l.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 5:34 PM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*q**4 - 1\/3*q**2 + 0 + 0*q + 0*q**3.\nAnswer: q**2*(q - 1)*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 8*c**3\/3 + 1655. Let d(t) = 35*t**2. Give d(x(f)).\nAnswer: 2240*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = m - 5*m - 5*r, 4*m - 9 = 5*r. Let t(s) = 15*s + 3. Let y be t(m). Let c(x) = x + 27. Let i be c(0). Calculate the greatest common factor of i and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-5))\/(4\/40*4). Let j = -0.4 - -0.2. What is the biggest value in i, 0.3, j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42 - 93) + 43 + 32?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00029671 to 5 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/5)\/((-143748)\/(-11880))?\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1269)\/(-2961) + 87\/2*8\/(-714)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, h: 5, i: 4, w: 3, t: 1, q: 3}. Give prob of sequence ht.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -3*s - 15, 1 = -4*f - 5*s - 6. Let d be -1 + 52\/28 - f. Let w(z) = -z**3 + z**2 + 2. Let a be w(2). Are d and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -10*s - 54. What is k(-14)?\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 390096703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*h + 56*h - 22468880 = 0. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 341 divide 3849549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**4 + 16*o**4 - 10*o**4 + o**4 + (o**2 - 3*o + 3*o)*(-4*o**2 - 7*o**2 + 2*o**2).\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w*w**3)\/w)*w*w*w*(w*w\/(w*w**(-1\/4)\/w))\/w*w)**(-2\/75)*(w\/w**1*w*w*w*w**(-1\/5)*w)**(3\/38) assuming w is positive.\nAnswer: w**(16\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, v: 2, o: 2, j: 1, e: 1}. Give prob of picking 1 j, 1 v, and 1 o.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.06 times -0.05?\nAnswer: 1.253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of x**4\/4 + 5*x**3 - 4*x**2 - 7*x + 5. Let d be k(-12). Let r = -320 + d. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + p = 6*l - 11, -26 = -6*l + p. Let q = 908 - 933.025. Let u = q - -0.025. What is the nearest to 1 in -2, u, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4370 and 103702.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*d**3*w**3*x**2 + 2*d**3*w**3 - 826441*d**3*w*x**2 - 95*d**3*x + 2*d**2*w**2*x + 121*d**2*w*x + 18*d*w**3*x wrt x?\nAnswer: -8*d**3*w**3 - 1652882*d**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1384.9 + 3.4\nAnswer: 1388.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 11 = 2*y - 330, -5*y = 4*s - 266. Let j = s + -31. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 178 - 125. Let v be u\/6 + 1\/6. Solve 2*d = 5*w - 0*w + 19, v = -3*w for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 0.1 (c) -2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 o when four letters picked without replacement from {g: 7, c: 5, o: 1}.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2606 (b) -0.2 (c) -7 (d) 21 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 + -148?\nAnswer: -14e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 76*w**2 - 5*w + 3. Does 13 divide a(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 3*u**2 + 4*u + 4. Let r be i(4). Solve r*a - 11 = 2*j - 3, -3*j + a - 7 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 3*l**3\/4 + 63*l**2\/4 - 3*l\/4 - 63\/4 = 0.\nAnswer: -21, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4\/3)\/((i**(11\/7)\/i)\/i))**(-2\/15) assuming i is positive.\nAnswer: i**(38\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ymm when three letters picked without replacement from {j: 2, e: 3, y: 1, m: 4}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44 - 13*i + 44 + (-3 - 1 + 2)*(2*i - 2*i - 2*i))*(1 - 1 - 4*i**2).\nAnswer: 36*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 4:18 PM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -14138a5 (base 11) to base 16\nAnswer: -25299a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u - 12. Let p be w(18). Suppose -6*h - p = -8*h. Suppose -3*c + 2*z + 2 = -h, 4*z = 5*c - 9. Solve 3*s - 7 = -c for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2520 - -4090. Suppose l + 2*s - 395 = 0, 4*l + 2*s - t = -s. What are the prime factors of l?\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4955 is divided by 1209.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**3 - 19*s**2 + 55*s + 554. Determine d(-9).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - -3)\/(6 + -7). Let g be -4*2\/(-5 - m). Solve v = -3*k + 3*v + 5, 0 = 2*v - g for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 1, -935, 30 in descending order.\nAnswer: 30, 5, 1, -3, -935","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-16\/3)\/(u\/u**(2\/5))*(u\/(u**(-22\/3)*u))**(12\/5) assuming u is positive.\nAnswer: u**(35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of f**4\/12 + f**3\/3 - 4*f**2. Let j(k) = -k - 1. What is -j(o) - m(o)?\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 2*r + 6*r)*(9*r - 1 + 5*r - 19*r).\nAnswer: -40*r**2 - 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22.9 - 22. Let v = -2.9 + q. Suppose 10 = -5*g, 6*w = 2*w + 2*g. What is the biggest value in w, 1, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 g, and 1 w when four letters picked without replacement from jjxgggggwj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 480336*5\nAnswer: 2401680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 9*k - 24*k - 7*k - 7*k. Suppose -4*n = n - 25. Let b(h) = h**2 - 7*h**2 + n*h**2 + 3*h**2. Give y(b(s)).\nAnswer: -58*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1035)\/(-63) - 16)*7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15767.7 times 7?\nAnswer: 110373.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/3)\/(4\/(-48)). Suppose c*f = 2*f + 14. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 11*u - 1. Let x(s) be the third derivative of s**5\/30 - s**2 - 3*s. Determine a(x(y)).\nAnswer: 22*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4610 + -4646 + (0 - -56)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4278680*o**3*x**3 + 14*o**3 - o**2*x**2 + 367*x**2 + 9 wrt x?\nAnswer: -25672080*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 21\/8, 5, -393?\nAnswer: -393","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-four fifths of a litre?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of 7*n**2\/2 + 126*n + 11418. Calculate j(-20).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 18094*t. Let j(i) = -6*i. Give c(j(k)).\nAnswer: -108564*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11\/7703 - -1025159\/462180. Find the common denominator of -49\/12 and s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyi. Give prob of picking 1 i and 1 y.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 3*h + 20. Let t(u) = -u**3 - 4*u**2 + 12*u + 10. Let d be t(-6). Let k = d + h. Is -1\/9 less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5185697?\nAnswer: 11, 17, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -303033200322 (base 4) in base 8?\nAnswer: -63174072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 i when four letters picked without replacement from {u: 5, q: 9, y: 2, i: 3}.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -5*w + 134, 7*o - 6778*w + 6773*w + 100 = -22 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/(-6) + 9 + (2 + -46)*(-98)\/(-56)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15595.6 or 2?\nAnswer: 15595.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 4, -1\/4, 1, -3817 in decreasing order.\nAnswer: 4, 1, 0.3, -1\/4, -3817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 53*v + 0*v**2 - v**2 - 50*v - 11*v**2.\nAnswer: -3*v*(4*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12325267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 15556611 divided by 2667\nAnswer: 5833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -125521 and 1221.165.\nAnswer: -124299.835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 4*u - 5. Let m be a(6). Let s(g) be the third derivative of g**4\/12 - 10*g**3\/3 - 28370*g**2. Give s(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18396218 + 9198109 - 55*i**2 + 9198109.\nAnswer: -55*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -57?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of (-152)\/2*1\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2899 a factor of 1899505972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g - 1 + 1)*(-8*g**2 + 5*g**3 + 5*g**2 + 0*g**2) to the form x*g**3 + d*g**2 + z*g**4 + i*g + a and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14234014 + -3?\nAnswer: -14234021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 206 + -214 + 0 + 1 - -26?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 48103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/4 and 11\/(-33)*80\/(-18).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4 + ((sqrt(90)\/sqrt(5))\/sqrt(3) + sqrt(6))\/sqrt(2)).\nAnswer: -4 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5789428919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a*a*a**(1\/3)*a))**(-2\/137)\/((a*a*a**5*a)\/a*a*a**(-5)))**(8\/9))**(-23) assuming a is positive.\nAnswer: a**(224296\/3699)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (15435\/(-70))\/147*(-20)\/(-2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28 in 1\/9, -262, -5, -2\/13?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2*z + 3. Let s be (-2 + 2)*-1 - (-1 + z). Which is the nearest to s? (a) -2 (b) 0 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 1625282718.507\nAnswer: -1625282721.507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(36\/15)*(27 + 9)\/9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 5*c**2 + 2. Let m be a(-5). Suppose 4*i - w = -4, 3*i + 0*w = -2*w + 8. Suppose i*g + 4 = -4*g. Sort 0, m, g in ascending order.\nAnswer: g, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.774 minus 1393.4?\nAnswer: -1392.626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 44500 to the nearest one hundred.\nAnswer: 44500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/6 + (1 - 5)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/9)\/(120021\/1188 + -101). Let c be 0 + 288\/(1 + 1). Calculate the highest common factor of u and c.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(1\/11)*a)*a*a**(2\/15)*(a*a**(-1))**(3\/5))\/((a**(-7)*a**(-6)*a)\/((a\/a**(2\/3))\/a*a)**(2\/43)) assuming a is positive.\nAnswer: a**(28947\/2365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128956*n = -128830*n - 1764 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2 + 37*r + 2 to the form m + v*r and give v.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/4 of a century?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 17*d**2 + 3. Let a be m(-3). Suppose 0*g + 6*g = a. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147860467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of 2\/3*n**3 + 0 + 0*n**2 + 28*n. Let m(f) = 2*f. Give a(m(z)).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -173 and -15444.\nAnswer: 2671812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 1133*o**2 - 66*o + 126. Is b(17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43856, 42436, 41016, 39596, 38176, 36756?\nAnswer: 35336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 56\/(-35)*5\/(-2). Let s be (-51)\/(-15) - (-2)\/(-5). Differentiate 4*l**3 - 3*l**3 - l**s - 2*l**b + 4 with respect to l.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.9 - -8. Let w = g + 0.4. What is the closest to 1\/2 in 0.3, 1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jd when two letters picked without replacement from {j: 1, d: 1, w: 1, e: 1, g: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 538*f**2. Let p(q) = 14*q. Determine p(a(r)).\nAnswer: 7532*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 18\/225*84\/4*127\/1778\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 1741 = -t + 1738, -2*t + 16 = 5*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2140 + -22?\nAnswer: 2115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1017027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.99591 and -2.\nAnswer: -7.99182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(24) + -2*sqrt(600)))\/(sqrt(48)\/(sqrt(24)\/(sqrt(4) + sqrt(36)))))**2.\nAnswer: 243\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (q - 2*q + 2*q)*(232 - 288 + 323)*(q + 0*q - 3*q) as m + c*q**2 + u*q and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60.61 - 59.7. Let s = -30.7 + 29.709. Let b = c + s. What is b rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 462, 481, 510, 549, 598, 657, 726?\n\"Answer: 5*p**2 + 4*p + 453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -3.7 (b) 183 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 12 + 6. Factor -109 - 4*y + 4*y**f + 109.\nAnswer: 4*y*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = u + 13. Calculate the remainder when u is divided by -3 - (0 + (-3 - -3) + -20).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10412 + 19992. Suppose 28*g - 26*g = o. Round g to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6802 divided by -242?\nAnswer: -3401\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3080 and 550?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -13*t - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -832, -1634, -2406, -3148?\nAnswer: -3860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88 and 51?\nAnswer: 4488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 154433 (base 12) in base 6?\nAnswer: 11414503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from uuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -79*c**4 - c - 6*c**2 + 73*c**4 + 3*c to the form l + o*c**3 + q*c**2 + k*c**4 + h*c and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 5\/12 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 101 - 101.26. Let g = -5.85328 + 6.113253. Let m = x + g. Round m to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20998 - 20998.14509. What is b rounded to 2 dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2172978 to four decimal places.\nAnswer: 0.2173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 71062579*f**2 + 43475915*f?\nAnswer: 142125158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j\/(j**(3\/5)*j*j*j*j)))\/((j*j**(1\/6))\/j) assuming j is positive.\nAnswer: j**(163\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-3))\/((-4)\/6). Let v be (5\/20)\/(x\/(-8)). Let p be (0 + v)\/((-2)\/(-17)). Let b(k) = 5*k**2 + 6. Let z(w) = -14*w**2 - 17. Give p*b(d) + 6*z(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1365692 equal to 1365692?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 904632?\nAnswer: 2, 3, 37693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from dooooooooooooooooo.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11552177.24 and 229.9.\nAnswer: -11551947.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -582 or -583?\nAnswer: -582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*p**2*y - 3*p*x*y - 49734*p*x + 5991786*x*y wrt p?\nAnswer: -8*p*y - 3*x*y - 49734*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 580.4834km?\nAnswer: 58048340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -30022*t + 180341. What is i(6)?\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 255223492 and 4946.\nAnswer: 4946","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (137*w**5 + 205*w**5 + 56*w**5)*((-3 - 2 - 1)*(4 - 2 + 0) + (0 - 4 + 3)*(-2 - 2 + 2)).\nAnswer: -3980*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 37 in 4, -0.4, 1, 7, 2\/39, -0.08?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + 3 + -1 + ((sqrt(17) + 0)**2 - sqrt(17))*2.\nAnswer: -sqrt(17) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -1549\/24547?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzymqbv. What is prob of sequence vy?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 46.0194 milligrams?\nAnswer: 0.0460194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1088 + (-270)\/15 + -13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -5\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3934013611 to the power of 1\/4, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 139501298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uj when two letters picked without replacement from {a: 1, u: 2, v: 4, j: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3189654949.\nAnswer: 13, 245358073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4502, 9008, 13514, 18020, 22526?\n\"Answer: 4506*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 9.8. Let p = -0.83 + 0.13. Let d = -0.3 + p. What is the third smallest value in d, -4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 9*h**2 - 555*h + 8457. Determine a(28).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 3*d**2 - d - 2. Suppose -6*l = -x - 8*l + 2, 5*x + 4*l = -2. What is m(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*d + 2063 = -2549, -2*d = -2*o + 9220. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15346 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4354847 and 42?\nAnswer: 26129082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 311522746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n - 2. Give s(-7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 234265439?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (137 + -75 - (0 + 0) - -6)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and -0.924897.\nAnswer: 0.075103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-19)\/(-171) + 21134\/684 + -1. Let o = -130\/19 + u. What is the common denominator of -83\/6 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -4*g + 2*g - 15, 3*g = -5*f + 6. Is -3 - 844\/(-4) - g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 49655365?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -16227.6607 rounded to the nearest 100?\nAnswer: -16200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -64.1 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -208*p - 30. Let c be h(-5). What is the common denominator of -137\/12 and 6\/60*c\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218727893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11258*f - 4 + 3 + 3 - 81*f**2 - 11281*f.\nAnswer: -81*f**2 - 23*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/24 and 70\/131667?\nAnswer: 1053336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -437.3718914 to 0 decimal places.\nAnswer: -437","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 6:35 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 833987 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -u**5\/60 + u**4\/6 - u**3\/2 - 5*u**2\/2 + 5*u. Let j(x) be the first derivative of w(x). Factor j(s).\nAnswer: -(s - 3)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -3 (b) -16 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-453 - -402)*(-6)\/(-18)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -64, -66, -68, -70?\n\"Answer: -2*x - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -8*x + 7*x. Suppose -27*s + 43 - 43 = 0. Solve -x*p - 45 = -s for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 3:30 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -6*y - 28. Calculate i(-11).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 1\/6, -4\/17, 5, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -245 + 371. Let v be (-12)\/(-28) - 40\/k. Is v <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 8 = 7*w. Suppose -f + 102 = f - w*a, 3*a + 56 = f. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 421506190?\nAnswer: 2, 5, 7, 6021517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*w - 98*w + 43*w)*(-4 - w**2 + 4).\nAnswer: 45*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1866041 to the nearest integer?\nAnswer: 1366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 184930, 184938, 184984, 185086, 185262, 185530, 185908?\nAnswer: 186414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1051 is divided by 208.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72741190 by 2305.\nAnswer: -31558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25427 = -4*d + 5*s, -31768 = -4*d - s - 6359. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 144 - 414. Suppose 0 = 5*n - 2*u - 62, -3*u = -0*n + 3*n - d. Calculate the least common multiple of n and 30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.3 - 3.3. What is the second smallest value in 2\/7, -3, r?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j**5 + 360*j**4 - 3995*j**3 + 8610*j**2 = 0 for j.\nAnswer: -82, 0, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220 + -1212?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18867545 + 4*z**2 + 18867545.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, -1\/8, 325?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 5*z**3 - 6*z**2 - z + 2. Let i(x) = -4*x**3 + 5*x**2 + x - 2. Calculate 5*b(u) + 6*i(u).\nAnswer: u**3 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158 = -5*i + 3*b, -29*i + b = -25*i - 132. Solve -9*w - i = 8*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17451.09 months in centuries?\nAnswer: 14.542575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -578*o + 573*o + 3*r - 23, 0 = 3*o + 2*r + 10 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 9. Is 1*212 - (r - -2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-1))\/42*(-6)\/(-4)*8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (137*l + 76*l - 5*l)*(3*l - 4 + 4 - 2*l**3) to r*l**3 + n + q*l + b*l**2 + f*l**4 and give b.\nAnswer: 624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 250*n**2 - 422*n + 15163. Let h(u) = -29*u**2 + 47*u - 1685. Let l(v) = -19*h(v) - 2*z(v). What is the first derivative of l(o) wrt o?\nAnswer: 102*o - 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -278*j**3 + 2*j - 3. What is r(1)?\nAnswer: -279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 - (-1 + -4 - -9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i + 1. Let b(l) be the second derivative of -l**3\/3 + 2*l**2 - 5*l. Give -b(y) + k(y).\nAnswer: y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -34046 + 21642?\nAnswer: -12204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -1 - 2) + (-1 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 6312.72?\nAnswer: -6316.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + l. Let j(w) = 3*w + 5*w**2 - 3*w**2 + 4*w**2. Let r(s) = -3*f(s) + j(s). Let u(b) be the third derivative of b**5\/60 - 34*b**2. Give u(r(t)).\nAnswer: 9*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 52770 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -5*o + 44, 2 = -u - 0. Let t = o - 4. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -168*p - 53*p - 4*p - 8403 + 5703 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 f when three letters picked without replacement from {t: 7, q: 6, j: 1, f: 5}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 1452 = -j - 1460. Which is the second biggest value? (a) 0.14 (b) 1.5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1552, 1544, 1510, 1438, 1316, 1132?\n\"Answer: -2*d**3 - d**2 + 9*d + 1546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4469 and 1476.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.66 and 0.03095.\nAnswer: -0.020427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8733\/157 or 56?\nAnswer: 8733\/157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m + 0*m + 0*m + (2*m - 6*m + 2*m)*(1 - 1 - 1) + 4 - 13 - m + 12.\nAnswer: 4*m + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 3 = 4*g + 5*f, -12 = 4*g + 4*f. Suppose 4*j + 2*w = -2*w + 26552, -3*j + 2*w + 19909 = g. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 299*o**2 - 5*o - 2651 wrt o?\nAnswer: 598*o - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*d**2 - 60 - d + 33 + 27 to k*d**2 + c*d + l and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23366325.\nAnswer: 3, 5, 311551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 93005234 to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - 1) + -5 - -8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 85321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 244626855.7 less than 0.5?\nAnswer: -244626855.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 5\/(-20) + (-21)\/(-20).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -0.4, 1\/2, -1 in descending order.\nAnswer: 3, 1\/2, -0.4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 561038 to the nearest integer?\nAnswer: 749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-510)\/(-102)*((-2808)\/(-30))\/9?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77 (base 8) to base 9.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 3*w - 81, -w + 7*m - 12*m + 35 = 0. Calculate the lowest common multiple of w and 16.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35649407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r - 7. Suppose -5*j + p = -34, -3*p = -j - 6*p - 22. Let x(m) = 3*m + 8. Give j*x(u) + 6*z(u).\nAnswer: 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of k**4\/24 + 7*k**3\/3 - 8*k**2. Let g be u(-8). Suppose y - g - 1 = 0. Solve -3*x - 4*n + 1 = -1, -x + 5*n = -y for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/26 - (-18228)\/1365)*-20*(-2)\/(-72)?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2094*r**3 - 1974*r**3 + 927*r**3.\nAnswer: -3141*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296*s - 5 = 291*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 401 - 177. Is x a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*w = -24, -3*w - 12 = 3*t - 5*t. Let k(y) = y**2 - 2*y + 35. Is 7 a factor of k(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28367, -28435, -28543, -28685, -28855, -29047, -29255, -29473?\nAnswer: -29695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005416 to four dps.\nAnswer: 0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 10*l + 25. Let t be x(-5). Let m be 3 + 1 + t - 8. Which is the nearest to 1? (a) -37 (b) m (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32110914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(2\/3))**13)**(2\/13))**(36\/7) assuming u is positive.\nAnswer: u**(48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m. Let o be 139\/3 + 1 + (-32)\/(-48). Let x(g) = -g - 52 + 112 - o. Calculate x(a(d)).\nAnswer: -3*d + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 6*y**2 + 44*y - 71. Give j(-8).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.3 times -23?\nAnswer: -397.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 463003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.02 - -0.02. Let s = 1 + q. Let i be 0 + 1*(-3)\/(-15). What is the nearest to s in i, -1\/3, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1048762, 1048727, 1048620, 1048405, 1048046, 1047507?\n\"Answer: -6*v**3 + 7*v + 1048761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3*2*sqrt(144) + sqrt(144)))\/(((sqrt(108) + sqrt(12))*5)\/((sqrt(48) + 2*sqrt(48))\/sqrt(8))).\nAnswer: 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 z, and 1 t when three letters picked without replacement from xtztlzz?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2967*f - 14. Let c(y) = y - 1. Let t(r) = -2*c(r) - h(r). Let q be t(-7). Suppose 2*u = -q + 96799. Round u to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - u**2 - u**4)*(-1468 + 2*u - 1834 + 1159).\nAnswer: -2*u**5 + 2143*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-661778)\/(-2) + (5 - 34 - -23) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 126368635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -3*h - 2. Let d be 42 + (-2)\/(-8)*-2*h. Which is greater: 43 or d?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -2.4. Let a = 789 - 749. Let y be -6 - 5\/(a\/(-42)). What is the second smallest value in z, -3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/9 + 228*c**2 - 77976*c + 8889264.\nAnswer: -2*(c - 342)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 8*s**2. Let g(q) be the second derivative of 0*q**3 + 112*q + 0 + 0*q**2 + 1\/6*q**4. What is g(j(p))?\nAnswer: 128*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 y, and 2 g when four letters picked without replacement from {i: 1, b: 2, p: 1, g: 2, y: 1}.\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 133338 and 71848?\nAnswer: 4790034312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {m: 3, i: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 8*r - 3*r - 11, -5*b + 5*r + 145 = 0. Suppose 37*t = b*t + 6611. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 9*u**2 - 4*u - 29. Let x be v(-9). Let w be (10\/x)\/((-125)\/(-35) + -3). Which is the third biggest value? (a) 3\/8 (b) w (c) -1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 less than or equal to 1436\/675?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2075)\/(-550))\/(-83)*10?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - 1) + 7 + 2 + (9 - 5) + -36?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 354 - 745\/2. Find the common denominator of 286\/4*(-7)\/(-21) and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.736 + -0.064. Let u = v + 9.8. Put u, 0.4, -3\/8 in decreasing order.\nAnswer: u, 0.4, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by -4 + 2 + 20 + 3.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(-1 - 4) + 1. Suppose -k = -4*w - 21, -2*k - 5*w = -g + 10. Solve -5*n = -0*n + k for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -1282*y**3 - 4*y**2 + 10*y - 55. Let w(v) = 2559*v**3 + 9*v**2 - 20*v + 109. Let d(g) = 9*s(g) + 4*w(g). Find the second derivative of d(r) wrt r.\nAnswer: -7812*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, b: 5, k: 3, w: 5}. Give prob of picking 1 v and 2 k.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**4 - 4*o**4 + 0*o**4 + (3*o**3 - 6*o**2 + 6*o**2)*(-3*o - 2*o + 7*o).\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 295887921 divided by 3?\nAnswer: 98629307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 + 220*o - 14758.\nAnswer: 2*(o - 47)*(o + 157)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.76, 2\/7, 0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1527897, -1527900, -1527901, -1527900?\n\"Answer: d**2 - 6*d - 1527892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -580 = -2*f - 4*s, 3*f = 5*s + 744 + 104. Do f and 286 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q**6 + 60*q**5 + 45021*q**3 + 9995181*q**2.\nAnswer: -120*q**3 + 3600*q**2 + 270126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*d**2 - 14*d**2 + 68*d**2.\nAnswer: 176*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 16. Suppose -2*c + 11 = o. Factor -7*r**4 + 11*r**4 - 10*r**c + 2*r**2 - 8*r**5 + 11*r**4 + r**4.\nAnswer: -2*r**2*(r - 1)*(2*r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**3 + 6*b**2 + 7*b + 2. Let y(x) = 4*x**3 - 13*x**2 - 15*x - 4. Calculate 13*o(u) + 6*y(u).\nAnswer: -2*u**3 + u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2\/c**(4\/13))**(-1) assuming c is positive.\nAnswer: c**(-22\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4080321 divided by -9?\nAnswer: -453369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 107098 - 642455\/6. What is the common denominator of x and (202\/8)\/((-3)\/2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4\/3, 1\/4, 97, 0, -4, -15\/7?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 - 6*l + 6. Suppose 2*f = 6*f - 16. What is the remainder when d(f) is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -4*z**5 + 1220*z**4 - 87224*z**3 - 89672*z**2 + 87228*z + 88452 = 0.\nAnswer: -1, 1, 117, 189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2468657273 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, -1, -3, 1.3, 4 in ascending order.\nAnswer: -3, -1, -2\/17, 1.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2. Let u(i) be the second derivative of -8*i**4 - 16*i - 2. What is u(w(t))?\nAnswer: -384*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - 4 - 35\/(-5). Put 5, x, 3 in descending order.\nAnswer: 5, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*96\/(-128)*(-8)\/(-87)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-57888)\/8640*(-5 - 0)\/((-43)\/(-86)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636368.9 days in hours?\nAnswer: 15272853.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 p, and 1 h when three letters picked without replacement from oguhepo.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48661569?\nAnswer: 3, 11, 491531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -143 - -142. Let t(l) = l**2 - l. Let m(k) = 1. Suppose 0 = 4*v + 5*n + 14, v + 4 + 1 = -2*n. Give c*t(x) + v*m(x).\nAnswer: -x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 8\/464)\/(6 - (-66)\/(-12)).\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -0.1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -49218010, -49218009, -49218008, -49218007?\n\"Answer: m - 49218011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111011010001101 - -11100000001?\nAnswer: 111110110001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 5*z**2 - 1. Let g be y(-5). Let o = 61 + -135\/2. Calculate the common denominator of o and 3*(-4)\/(-30) + g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-4))\/(3\/(-12)). Let h(w) = 10*w + w**x - 10*w. Let b(a) = 3*a**2. Calculate h(b(u)).\nAnswer: 9*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -622351*t**3 - 353913*t?\nAnswer: -3734106*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 3*n - 7763 = 0, -10*x + 6*x - 4*n = -6204. List the prime factors of x.\nAnswer: 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1024) + (sqrt(1024) + -1*sqrt(1024) + sqrt(1024) - sqrt(1024))))\/(sqrt(1152) + 1*sqrt(1152)*-2).\nAnswer: -4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1625*m + 2191*m = 72504 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/4417134 and -11\/16548.\nAnswer: 61839876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 98 and 352?\nAnswer: 17248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u + 22. Let v be q(10). Let s be 11\/(3 + 119\/(-42)). Suppose -d + 0*j = -5*j - s, 0 = 5*d + v*j - 222. List the prime factors of d.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*s - 19. Suppose 0 = -9*v - 63 + 90. Is (142\/s)\/(1\/v) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from {l: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/1253 - 181\/1253. What is the closest to 12 in h, 1\/5, -3\/2, -4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j + 225 - 257 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 6*b - 6. Let c(x) = -x + 1. Let q(d) = -5*c(d) - m(d). Suppose -3*u - 2*u = 3*k - 4, -2*k - 5*u + 1 = 0. Give q(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 13) to base 12.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -600 (b) 73 (c) -5 (d) 1\/4 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2808 divided by -8\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -4*x - 12, 0 = -3*d - 9*x + 4*x - 15 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(9\/2 + -4). Solve h = -z, -2*h - 3*z + 28 = -i*z for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.134828 rounded to one decimal place?\nAnswer: -8.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 v when four letters picked without replacement from {m: 3, v: 5, o: 6, x: 3, d: 1}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1175 - -121?\nAnswer: -1054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -189, -602, -1651, -3654, -6929, -11794, -18567?\n\"Answer: -53*a**3 - 42*a - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 4:05 PM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03185393 rounded to four dps?\nAnswer: -0.0319","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-129 - 81 - 10)*(-3*z**4 + 5*z**4 - 2*z + 3*z) + 2*z**4 - 6*z**4 + 3*z**4.\nAnswer: -441*z**4 - 220*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49407*y + 49503*y + 672 = 0 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -28955536*o*w - 749*o + 110979 wrt w.\nAnswer: -28955536*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1569 = 5*v - 1579. Let f = 11 - 11. Solve f*l + 0 - 2\/5*l**v = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12003 (base 6) to base 11.\nAnswer: -1334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*k = 6*k - 26, -k = -3*a - 29. Let i = 9 - a. Is 6 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46 + 63. What is the greatest common divisor of 1 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5*r + 235 = 2*p, -3*r - 190 = -4*p. Let i(f) = f**2 - f + 4. Let w be i(-5). Let k = p - w. Solve s + k = 4*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -y**2\/2 - 76. Let w(j) = 9*j. Suppose -124 - 31 = 5*h. Let s = -7 - h. Give s*p(t) + 3*w(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/25822998 and -86\/405.\nAnswer: 1162034910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/9 and -95\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.171 - -6.138. What is the biggest value in q, 9, 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 0 + 2 + 23*b - 20*b. Let k(p) = -p**2. What is k(d(l))?\nAnswer: -9*l**2 - 12*l - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -5. Let v be -1 - (w - 1) - -6. Find the second derivative of -p + 5*p**2 - v*p - p - 2*p wrt p.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - -100001001010111011001101?\nAnswer: 100001001010111011000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 223 + 350. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.44 take away -2.26?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -w**5\/60 + w**4\/6 + w**3\/2 - 2*w**2. Let q be 3\/5 - 325\/125. Let z be (-4 - (-55)\/15)\/(q\/30). Calculate c(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 254128, 508258, 762388?\n\"Answer: 254130*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 554*o = 511*o - 1381 + 4520 for o.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, p: 5, a: 2}. What is prob of sequence aapr?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -79*67.12612\nAnswer: -5302.96348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249 is divided by 51?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1028 + 1324 = -392*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q - 2*q + 4*q**3 + (q**2 - q**2 + 2*q**2)*(4979 + 40*q - 4979) in the form p + d*q**3 + i*q**2 + r*q and give d.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n + 45 = -11 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3222.563 litres to millilitres.\nAnswer: 3222563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.4, 2, 79, -5, -2\/11 in decreasing order.\nAnswer: 79, 2.4, 2, -2\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 11. Let a be n(6). Let p = -44 + a. Solve -o + 4*o - y = -p, -5 = 5*o + 2*y for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-7 - 168\/(-18))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, y: 9, i: 6}. Give prob of sequence ij.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 5:52 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j = 221 - 1157. Solve -a = -19*a - j for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*f - 157, -3*f + 195 = 5*z + 2*f. Let y = z + 31. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -s**5\/20 + s**4\/4 + 15*s**3\/2 - s**2 + 1. Factor n(j).\nAnswer: -3*(j - 5)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2 = -0. Suppose -6*j = -17 - u. Suppose -5*a + 11 = 4*h, j*h + 12 = -2*a + 5*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 12. Which is the closest to 2? (a) -0.5 (b) l (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 4:20 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 347450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**3 - 3*y**3 + 2*y**3)*(4 - 2 + 0).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1483498?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 32?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-209)\/(-220) - 24\/32?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**2 + 10*k + 9. Let q be g(6). Put -25, 1, q in decreasing order.\nAnswer: 1, q, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.58 (b) 1.3 (c) -1\/5 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -113157269*p**4 - 540*p**2 + 5*p + 71 wrt p?\nAnswer: -2715774456*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 516 and 380937?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 6*y**2 + 4*y + 7. Is 32 a factor of a(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 8. Suppose -100 = 31*c - 81*c. Solve c*h - 11 = -2*f - n, -5*h = 4*f - 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bgb when three letters picked without replacement from {t: 7, g: 5, x: 2, b: 4}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 q when three letters picked without replacement from {m: 2, q: 3, n: 6, x: 2, l: 4}.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 b when three letters picked without replacement from {e: 2, b: 7}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -q - 3*o - 27, -4*q = -4*o + 4. Let y(z) = -z - 11. What is y(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 z when two letters picked without replacement from {z: 2, t: 2, v: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b2380 (base 15) in base 13?\nAnswer: -374715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 4878*j - 3239392. What is v(-793)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, k: 9, r: 1, q: 4, j: 2}. Give prob of sequence krj.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c = 1053 + 4575. Let o = c + -261. Solve -3*j = 3*f - 3, o = 3*j + 2*j + 3*f for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 592331a19 - -4?\nAnswer: 592331a22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wnwwnnwnnw. Give prob of picking 3 n.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 1693*j**2 - 988*j + 140. Let m(d) = -1690*d**2 + 987*d - 141. Let q(f) = -3*b(f) - 4*m(f). What is i in q(i) = 0?\nAnswer: 12\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dooo when four letters picked without replacement from {d: 5, o: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, u: 2, b: 1, z: 1}. Give prob of sequence uq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 433398137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188*a**3 - 1 + 191*a**3 + 1.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 w when two letters picked without replacement from wlsssswfwssfl.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 151 + 1 - (-306 + 296). Solve -116*k + 143*k + q = 0 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 900808 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a - 2*a - a)*(-a - 5*a + 4*a)*(-2*a - a**2 + 2*a).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 106 + -173. Let t = 121 + z. Calculate the remainder when t is divided by (30 + -2)*1\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-9 - (7 + -13)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 195391661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*g + 34*g. Solve 0 = -3*v - 5*q + 4, -4*q = 5*v - g - 11 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(5\/4)*z)**(-1\/20))**3 assuming z is positive.\nAnswer: z**(-39\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*q**2 + 20*q**2 + q - 32*q**2 - q.\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 26982 divided by 25\nAnswer: 26982\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39.43 - 12.43. Which is the smallest value? (a) f (b) -4\/7 (c) -0.4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 1942111?\nAnswer: 776844.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.89 (b) 1\/4 (c) -2 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.5977341 rounded to two decimal places?\nAnswer: 69.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 6 + (3 - (2 + 0)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 60 + -32. Let y be (-24)\/9 - f\/21 - 9. Is y at least as big as -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 165*y - 2. Let b be d(2). Suppose -w - 8005 = b. Let t = -133375\/16 - w. What is the common denominator of t and -23\/10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 530988, 530917, 530792, 530607, 530356, 530033, 529632, 529147?\n\"Answer: -k**3 - 21*k**2 - k + 531011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h + 7. Let g be p(7). Suppose -2*j - 140 = -3*q, -q - 5*j + 200 = 4*q. Which is bigger: g or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-11)*d)**11*d\/(((d*(d**(11\/2)\/d)\/d)\/d)\/d)*d**(-2\/91)\/d assuming d is positive.\nAnswer: d**(-20479\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**2 + n**2 - 5*n**2 + 2*n**4)*(-4*n + 4*n - n).\nAnswer: -2*n**5 - n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 9:28 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2. Suppose 3*i = l - 6*l - 36, 0 = l - 3. Let b = i - -9. Let s = -5 - b. Give o(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 353 + -353. Let n(h) be the third derivative of -1\/360*h**6 + 0 + 0*h**3 + 0*h + t*h**5 + h**2 + 0*h**4. What is q in n(q) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585051.2ml in litres?\nAnswer: 585.0512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/(-125))\/(256\/(-40))?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 9*q - 2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -4*b. Suppose 0*d - d = -11. Let a(o) = 6*o - d*o + o**2 + 5*o. Give a(w(s)).\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (66\/(-3))\/((-1)\/1). Suppose 0*k = -2*k + u. Solve -2 = -o - b, 0 = -5*o + 2*b - 0*b - k for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 3084 + 3130 = -i, -4*i = 2*d + 44 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5493 = 244*j - 249*j + k, 5*k - 2181 = -2*j. Calculate the highest common divisor of 3 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-7)*c*c*c**(3\/14)\/c)**(-3\/22) assuming c is positive.\nAnswer: c**(201\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22639787*c**5 + 27116288*c**2 wrt c?\nAnswer: 1358387220*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/4 + 115*r\/2 + 229\/4.\nAnswer: (r + 1)*(r + 229)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 1:22 AM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 107854754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 46.5 and -4.1.\nAnswer: -190.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g = 18, -5*l - g = 3*l - 3*l - 7 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 279 a factor of 2558209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*d - 1 = 1, y = 5*d - 22. Find the second derivative of -6*q**2 - 19*q**3 + 5*q**y + 6*q**2 - 20*q wrt q.\nAnswer: -84*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 0)*(1 + 3 - 2)*(0*p - 2*p + 0*p)*(-5 + 5 + p) as l*p + r + u*p**2 and give u.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 553771, 553765, 553757, 553747?\nAnswer: 553735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 167, 0, -0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 87491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(288\/(-80))*2*((-2024)\/(-680) - 3).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i**3 - 10*i**2 - 9*i. Let l be z(-7). Let c = -289 + l. Suppose -5*m = -j + c, m = -j - 0*j + 289. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 1091\nAnswer: 4364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 2*k - k**2)*(2*k - 53*k**2 + 16*k + 71*k**2 - k).\nAnswer: -18*k**4 - 17*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*u - 154*u - 2720 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/8*(1932\/4554 + (-2)\/9*-3)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 2:40 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1519567 to the power of 1\/2, to the nearest integer?\nAnswer: 1233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -5. Let u = q + 3. Suppose 7*j = u*j. Solve j = -f - f + 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**2 - 13*g + 11. Suppose -2*v - 14 = 4*k, -3*v + 4 = -k - 24. What is a(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a minute in milliseconds?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 81362864 by -127528.\nAnswer: -638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 4. Let m be -3*d*(-3)\/(-9). Suppose -g = -2 - m. Solve -t - u + 5*u = g, -2*t - 2*u = -14 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 24) + 6 + -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 153, -136, 2, 4 in descending order.\nAnswer: 153, 4, 2, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*y + 5*u, 5*u + 14 = 3*y + y. Let f = 1317 + -1321. Let w = y - f. Solve -3*r - 4*l + 5 = 0, 2*r - 12 + 1 = w*l for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 505771 is divided by 36126?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 4) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-25) + 51\/(-15). Let v(t) = t**2 + t + 2. What is v(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 18595, 148591, 501397, 1188415, 2321047, 4010695?\n\"Answer: 18567*x**3 + 3*x**2 + 18*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1070535 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -7*d**2 - 7. Let z(t) = 15*t**2 + t + 13. Let w(m) = -9*b(m) - 4*z(m). What is the units digit of w(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -192*p + 93*p + 98*p. Let k(c) = 72*c**2 - 8*c. What is k(g(y))?\nAnswer: 72*y**2 + 8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t - 64 = 30*t. Put 0.4, 2\/57, t, -0.3 in decreasing order.\nAnswer: 0.4, 2\/57, -0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in five quarters of a second?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 6*r + 84 = 0. What is the greatest common divisor of 70 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 238*r**3\/3 + 3*r**2\/2 + 16*r + 58. Is g(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = -b - 5*l, -320588*b = -320571*b - 2*l + 12 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93, -104, -135, -198, -305, -468?\nAnswer: -699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2. Let u(y) = 26584263*y**2. Determine u(o(f)).\nAnswer: 106337052*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 166\/35, 3, -3, -2\/13, 0.6?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 346, 0, -3, -2\/5, -19 in decreasing order.\nAnswer: 346, 0, -2\/5, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xjvj when four letters picked without replacement from xxxvxxjjvj?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wgwgsgzwgszazzzzsz. What is prob of picking 1 s, 1 g, and 1 z?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 88 - 56. Let q = n - 34. Do q and 23 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6770904317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -364.4 + 382. Let t = 11.6 - m. Which is bigger: 2\/25 or t?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45211656 divided by 1076468.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 11. Let h = -4 + s. Which is the third biggest value? (a) h (b) -3 (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2509.780384 - -2510. Let g = 0.420535 - h. Let z = 0.201 - g. What is z rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 - 25 = -f. List the prime factors of f.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*(s*s**(-7\/4)\/s*s)\/s*s**(-1\/5)*s assuming s is positive.\nAnswer: s**(1\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 a when two letters picked without replacement from qma.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2685299363 to the nearest integer?\nAnswer: 1390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22230 + 0?\nAnswer: -22230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 12:09 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**3 + 2*w**3 - 4*w**3)*(0*w + 2*w + 0*w) - 3*w**4 + 9*w**4 - 30*w**4 + 18*w**2 - 23*w**4 - 18*w**2.\nAnswer: -45*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 210 and 126.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 169032078?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 3*t**2 - 2*t + 4. Let k(f) = f**3 - 17*f**2 - 36*f - 42. Let s be k(19). Give p(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 18*b - 60, 3*b = -4*r - 98 + 137 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-161)\/(-42) - 4) + (-1016)\/(-48). Solve p = -4, -8*l + 4*p = -7*l - v for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o - 2*o = -5*i - 22, -5*i = -o + 21 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -731063 by 397.\nAnswer: -731063\/397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**3 + 30880*j**2 - 99154426*j - 160767634588 = 0?\nAnswer: -1166, 8303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 130*i**2 + 122*i - 564. What is the lowest common multiple of 226 and l(-129)?\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.039415 centuries to millennia.\nAnswer: 0.9039415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pupn when four letters picked without replacement from {p: 3, e: 5, n: 1, u: 3, j: 1}?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k**2 - 5*k + 7. Let z be b(2). Let h be (-32)\/12*23 + 3\/z. Let d = 73 + h. Solve -o = 2*o - d for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*q**2 + 2*q**2 - 4*q**2)*(-42 - 33 - 17) - 5*q**2 + 0*q**2 + 2*q**2 + q - q - q**2 in the form y + h*q**2 + j*q and give h.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20186939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2. Let s(b) be the third derivative of 13*b**7\/2520 - 2*b**4 - b**3\/6 + 117*b**2. Let o(h) be the second derivative of s(h). What is c(o(i))?\nAnswer: 338*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 5160433.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4002)\/(-3) + (22 - 25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -339\/4*z**4 + 45403\/2*z**2 + 146205\/4 + 14103\/2*z**3 + 1\/4*z**5 - 264879\/4*z = 0.\nAnswer: -5, 1, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(3\/4)\/(g*g*(g\/(g**(-6)\/g*g))\/g*g*g)*(g**(-1\/2))**(-2\/11)*(g*g**(2\/5)*g)**(-33\/5)*(g\/g**(2\/11))\/g*g**5 assuming g is positive.\nAnswer: g**(-22199\/1100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/44 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 2*s - 117. Let a = -4 + 8. Suppose -f = -a*f + s. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229381513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 61*s**4 - 30351*s**3 - 35611474*s wrt s.\nAnswer: 732*s**2 - 182106*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**2\/9 - 76*m\/3 = 0.\nAnswer: -114, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -128*v + 1900. Give y(15).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/49 and -45\/77.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of a**8\/168 + 22*a**7\/105 + 79*a**6\/30 + 208*a**5\/15 + 147*a**4\/4 + 54*a**3 + 4*a**2 - 801. Solve c(u) = 0 for u.\nAnswer: -9, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 295 divided by -59.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 5*c. Let l = -281 - -285. Give a(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 884036?\nAnswer: 2, 29, 7621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 530 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242*b + 239*b + 33 = 0. Solve 7*l = 2*l - 3*h + b, 1 = -5*l + 3*h for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 234638 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 114 and 217094?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2511.1000075993 - 2511.1. What is k rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(204) + sqrt(204) + sqrt(204) + 4*sqrt(204)*-1 + -3*(2*sqrt(204) + sqrt(204)))*2)\/(sqrt(12) + sqrt(108)*-4 - (sqrt(144)*1)\/sqrt(12)))**2.\nAnswer: 425\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + 3*y - 2*y)*(y - 4*y + y)*(4*y + 10*y + 2*y).\nAnswer: 96*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 63, 0.09, -42\/4105?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 14\/2399?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.04 - -0.26. Let l be -1*(1 + 2\/2). Which is the nearest to 0? (a) l (b) i (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - l**2 + l - 6. Let c(t) = -t**3 - 73*t**2 - 67*t + 360. Let f be c(-72). Give s(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -db7d (base 14) to base 8.\nAnswer: -112063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) + 1 + sqrt(700))*6 + (-2*sqrt(504) + sqrt(504) - sqrt(504))\/sqrt(8))**2*2.\nAnswer: 2736*sqrt(7) + 182016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1920 = 102*f - 90*f. Does 32 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/2364 and 15\/56?\nAnswer: 33096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13130 + -10?\nAnswer: 13120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -210 - -209. Let z be 1\/(-1)*(-4 + 0). Let x = z + b. Solve -x - 1 = -4*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.546 and -320582611204?\nAnswer: 320582611203.454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) - (0 + sqrt(180) + sqrt(180)*2)) + 2*sqrt(180)*-4 + -3 + 2 + sqrt(180) + (sqrt(180) + -1*sqrt(180) + sqrt(180))*-1)**2.\nAnswer: 120*sqrt(5) + 18001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2062*t = -35759 + 23998 - 45975 for t.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -112.906 - -1.978?\nAnswer: -110.928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 20*a**3 - 11*a**2 + 3*a. Let s(o) = o**3 + o**2 - o - 1. Let g(z) = -2*z**3 + 9*z**2 - 6*z - 5. Let y(n) = g(n) - 5*s(n). Determine 4*v(h) + 11*y(h).\nAnswer: 3*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 7:21 PM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 822366 divided by -5?\nAnswer: -822366\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0.1, -28, 0.2, -14?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**3 + 5633894*y**2 + 22535552*y + 22535544 = 0.\nAnswer: -2816943, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 - -101. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - (6 - 2)\/4. Suppose 0*q + 2*q + 4*i - 10 = 0, n*i = 5*q - 13. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9145998 divided by -9.\nAnswer: -1016222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65, -32, 34 in decreasing order.\nAnswer: 34, -32, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1331 - -2115. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + 0 - -7) + 3 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -4\/13*p**2 + 4\/13 - 2\/13*p**3 + 2\/13*p = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*n - 295 = 93*n - 210*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 738\/34661 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide -1 + ((-20)\/(-40))\/(2 + 16908\/(-8456))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 75 + 5?\nAnswer: 7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + -2 - (-4*26 + -4). Factor -6*v**2 + 10*v**3 - 7*v**3 + 66*v - 30 - k*v.\nAnswer: 3*(v - 5)*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/3 - 23962384*i\/3 - 15974920.\nAnswer: -2*(i + 2)*(i + 11981190)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 64 - 22 - 25)*(3 - 3*b - 3 + (-4 + 1 - 2)*(-b + 0 + 0)).\nAnswer: -2*b**2 + 34*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 627064180 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63)\/(-22) - ((-3)\/(-24) + (-299)\/(-104)).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -4. Suppose -14 = -3*f - 0*w + d*w, -2*f = -w - 8. What is the least common multiple of 3 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -582, -3, -4 in descending order.\nAnswer: -3, -4, -582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q - 4*q + 27. Let y be 1\/4 + 45\/12. Put y, q, -2 in ascending order.\nAnswer: q, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r + 693 - 273 = 0. Let u = r - -28. Sort u, -25, 3 in ascending order.\nAnswer: -25, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 63101 - -312?\nAnswer: 63413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-335)\/12 + 114\/(-456) - (-2 + 33\/18)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -565, 1971 in descending order.\nAnswer: 1971, -0.3, -565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-2\/7))**(-1)\/(o\/o**(-3\/4)*o**(2\/5)*o))**(-9\/14))**(-5\/4) assuming o is positive.\nAnswer: o**(-3609\/1568)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -330930 rounded to the nearest 10000?\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence isxi when four letters picked without replacement from {i: 9, s: 5, x: 2}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5008312 divided by -4\nAnswer: 1252078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*i + 112 + 48. Factor -4*k**2 - 14 - i*k + 29 - 15.\nAnswer: -4*k*(k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 5*l**2 + 563*l + 1145. Give v(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 824\/13 + -1271\/26. Let h(c) be the second derivative of i*c**2 + 10*c - 11\/6*c**3 + 0. Differentiate h(z) wrt z.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/4, -0.037, 2\/9, -0.2, 1\/3?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9309787 to the power of 1\/2, to the nearest integer?\nAnswer: 3051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/((-66)\/6)*(-3)\/30?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 116425712 to the power of 1\/3, to the nearest integer?\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 27*l**2 - 3*l - 3. Let f be r(2). Suppose -3*p + 130 = -4*u - 5*p, 0 = -3*u - 2*p - f. Let s = u + 54. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.2431955 tonnes?\nAnswer: 243195.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45)\/sqrt(3)*4 + sqrt(105)\/(sqrt(112) + sqrt(7)))\/(sqrt(40)\/(-6*sqrt(72))))**2*-1*-6.\nAnswer: 2571912\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 5*z**2 - 6*z. Suppose 4*b + 18 = 7*b. Let o be t(b). Is o at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2471484 to the power of 1\/3, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -x**5\/20 + 7*x**4\/12 - x**3\/6 + x**2\/2 - 5*x + 4. Let u(w) be the first derivative of v(w). Give u(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23330.\nAnswer: 2, 5, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-6) - 248\/(-12). Let c = 35 - 3. Let n = c - r. Is n a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3\/2, 2442, -8.4, 0.4, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5097366623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*l - 15342 - 34890 = 6*l. What is the highest common factor of 84 and l?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from wwpppppppw.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -836*z**4 - 77*z - 495. Let u = -76 + -1. Let j(c) = -22*c**4 - 2*c - 13. Let k(q) = u*j(q) + 2*a(q). Differentiate k(o) with respect to o.\nAnswer: 88*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -76\/27 and 7\/12?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*f + 3*f - 7*f + (5 + 0 - 3)*(3 - 3 + f) - 4*f + 6*f - f)*(-341*f + 307*f - 346*f) in the form p*f + s + g*f**2 and give g.\nAnswer: -760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -71\/6 in -2\/6315, -0.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 15\/9 + -23 + 280\/12. Put -2028, 3, n, 2 in descending order.\nAnswer: 3, 2, n, -2028","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2552\/33)\/(1\/3) - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 240 - 640 = 0. Suppose 3*z + 4*h - 176 = 0, -2*z - 3*h + a = -17. List the prime factors of z\/(-35)*(-6 + -1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 19. What is the lowest common multiple of 8 and i?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8302\/297 + 70\/27. Factor -32\/11*k - 882\/11*k**3 + 0 - q*k**2.\nAnswer: -2*k*(21*k + 4)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1064 + -622. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 + -27. Suppose j*v - 598 = 37. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hoohoxohxoiooibxoo. What is prob of picking 1 b, 1 o, and 1 i?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 2875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-22)\/33*(-3)\/2. Let y(s) = 2*s**3. Let a be y(t). Find the second derivative of 2*m**a + m**2 - 12*m**2 + 3*m wrt m.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 16, -1508, 4 in increasing order.\nAnswer: -1508, -6, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*l - 6*l + 11 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**3 - 2*y**2 - 2*y - 3. Let i(c) = -c - 149*c**2 + 233*c**2 - 4 - 2*c**3 - 86*c**2 + 4*c**3. Determine -2*i(s) + 3*t(s).\nAnswer: 2*s**3 - 2*s**2 - 4*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 16 = 2*r, 0 = -3*r - f + 4*f + 18. Let v(j) be the first derivative of j**r + 3 + j - 11\/3*j**3. What is v(-1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 88\/3 + -30. Is d at most -41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**12*k**(-23)\/k)\/(k**(1\/72)*k**(1\/50)) assuming k is positive.\nAnswer: k**(-21661\/1800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 6*l - 494. Give a(79).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60964 or -55920?\nAnswer: -60964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 2:56 AM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -0.2 (c) -34.1 (d) -1\/6 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*((-1)\/6)\/((-42)\/14)*3.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r**4\/2 - 35*r**3 - 222*r**2 - 452*r - 304 = 0. What is r?\nAnswer: -2, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -71, -252, -735, -1670, -3207?\n\"Answer: -25*w**3 - w**2 - 3*w - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 13) in base 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of w**3\/3 + 5*w**2 + 8*w - 2. Let q = 13 + -22. Let m be b(q). Let s(f) = -f. Let x(a) = 5*a + 1. Give m*x(g) - 3*s(g).\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wc when two letters picked without replacement from hwcchwfwcfhhcfcwchf?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*(4 - 42\/9). Suppose -4*d = z + z + 2, z + 3 = -d. Suppose 0 + 10 = d*i. Solve u*l - 3 = i for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3863621591 - 0.030547?\nAnswer: 0.3558151591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 958631 to the power of 1\/2, to the nearest integer?\nAnswer: 979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + (15 - 29 - -40)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 689073877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.213 (b) 2\/13 (c) -2\/7 (d) 2 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -3, 31, 572 in decreasing order.\nAnswer: 572, 31, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifth of a day?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.752, -1846, 0.1 in increasing order.\nAnswer: -1846, 0.1, 1.752","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1607569939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 889*x**3 - 881*x**3 + 8*x - 2*x - 50 wrt x?\nAnswer: 24*x**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = i - 3. Suppose -5*o - 11 = 4. Let x be ((-12)\/(-45))\/(2\/o). Which is greater: x or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 47, 80, 131, 206, 311, 452?\nAnswer: 635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 9*i - 48. Find the third derivative of 1 - 2 - 9*n**2 - 6716*n**i + 6623*n**3 wrt n.\nAnswer: -558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5368\/45 - 1040\/9. Suppose 680*r - 678*r = -84. What is the common denominator of a and (-5 - 192\/r) + (-413)\/294?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1*c)**20 assuming c is positive.\nAnswer: c**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/3*(-5)\/2. Suppose 7 = -b + 11. Suppose -g + 5*g = -2*r + 398, -389 = -b*g - t*r. List the prime factors of g.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 121*i**2 + 5*i - 135. Let u(j) = -159*j**2 - 6*j + 133. Give 4*o(k) + 3*u(k).\nAnswer: 7*k**2 + 2*k - 141","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 767976.6 micrometers?\nAnswer: 76.79766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1106 - 1123 = 66*b - 1007 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16143*m**3 - 32117*m**3 + 16226*m**3)*(-2*m + 3*m + m).\nAnswer: 504*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-362)\/(-3) - (-2)\/6. Suppose 62*z = 2251 + 3205. What is the third derivative of 3*h - 6*h**5 + r*h**2 - z*h**2 - 3*h wrt h?\nAnswer: -360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/5 (b) -5 (c) 1\/4 (d) -4 (e) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10899 + 164054\/15. Let b = n - 38. Which is smaller: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 450, 3613, 12270, 29187, 57130?\nAnswer: 98865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/69 (b) -89\/7 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 9*m - 11. Let x(l) = 2 - 8 + 7. Let d(a) = 2*p(a) + 14*x(a). Calculate the remainder when d(5) is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g - 17*g + 42 = -4*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/4 of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1574533406 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -253 - 111. Let i = 360 + w. Let v be (-4)\/18 + (-68)\/180. Which is the biggest value? (a) v (b) 0 (c) i (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1735446204 + 4?\nAnswer: 1735446210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 21*k - 165. Let p be z(-20). Let l = p + 581. Put l, -2, 46, 5 in decreasing order.\nAnswer: 46, 5, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, -5, 0.1, 1.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l - 6. Let m be f(4). Suppose -3*k = m*k - 620. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 3 + 1 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -61, -86, -117, -154, -197, -246?\n\"Answer: -3*b**2 - 16*b - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1968631 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -0.5, 1\/3, 2, -52\/11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2712 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -5. Let j = 3 - 6. Let a = j - -3. What is the biggest value in a, 4\/5, m?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 2. Let j(r) be the second derivative of -2*r**3\/3 - 5*r**2\/2 + r. What is the remainder when 31 is divided by j(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1306 + 12.6506. Round o to zero dps.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2845278.\nAnswer: 2, 3, 158071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -376*w - 1. Let m be y(3). Let k = m + 1796. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30915448*s**2 - 86582664*s wrt s?\nAnswer: 61830896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5986247 is divided by 607.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -125631*j - 4020194. What is u(-32)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160258 is divided by 3270.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -106056 - 37*r - 197*r - 285*r + 24*r + 106054 as g*r + k and give g.\nAnswer: -495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -63670.\nAnswer: -63667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 + 1)*(-1 + 150*m - 148*m + 0) in the form a + n*m and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-52)\/24)\/(-13)*(-18)\/(-5).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -34538, -1, 10, 3, -11 in ascending order.\nAnswer: -34538, -11, -1, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -75598746236 - -75598743310.000001259. Let y = w + 2926. What is y rounded to 7 decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -32*z**5\/5 + 37*z**3\/3 + 29. Find the third derivative of a(o) wrt o.\nAnswer: -768*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80972100 rounded to the nearest 1000000?\nAnswer: -81000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*5*sqrt(45)\/sqrt(1089) - (6*sqrt(35)\/sqrt(7) - (0 + sqrt(605))))**2.\nAnswer: 10125\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1649*k - 764*k + 1712*k = 275282 for k.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, -2\/13, -6240, -3\/49, 0.3, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/3 + (-4)\/6. Let x be -1 + -1 - (-2 + b). Suppose -5*y = x*v - 6*v + 11, 4*v + y - 17 = 0. Is v a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8333 - 8321. Solve -a*q - 3*n + 17 = -16*q, 2*q = -5*n - 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 292.8909 + -293. What is i rounded to three dps?\nAnswer: -0.109","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 83*l - 209. Let h(q) = -27*q + 70. Let x(c) = 11*h(c) + 4*i(c). Let a be x(2). Solve -3*g - 6 = 0, 0*y + y - a*g = 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 79999*l - 7. Let u be q(-7). Round u to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**3 + o**2 - 4*o - 2. Let t(u) = -19*u**3 - 5*u**2 + 24*u + 13. Let w = 39 + -45. Let b(n) = w*t(n) - 39*k(n). Factor b(l).\nAnswer: -3*l*(l - 1)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*k = h - 577, -2*k = -4*h + 1166. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3714 + -3706. Solve 1066*o - 1058*o - i = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 33*u + 9. Let g be w(-9). Let l = 396 - g. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and 748395?\nAnswer: 8232345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/((-25)\/90*-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 1 (c) -16 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12098 - -12102. What is the closest to 1 in 2, -3, 6, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 157243\nAnswer: 10\/157243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 0 + 2*(0 - -3). Let t(s) = s**2 + 14*s + 29. Let n be t(-12). Let q(w) = g + n - 2*w**2 - 10. Let v(l) = 5*l. Determine v(q(p)).\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - (-31 + 73 + 52 + -9)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 take away 0.013?\nAnswer: -54.013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 93 + 3?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -298 and 5.6.\nAnswer: -292.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b + 5. Let h be w(-2). Let v be 6\/3 - (-2 + h - -4). Is v bigger than -4\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 5*i - n = -21, -i - 1 = -5*n. Let x be 2*i\/4*1. Put x, -4, -1 in descending order.\nAnswer: x, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 13*s**2 - 13*s + 16. Let m be q(-14). Is 8 greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4668*v - 2829*v + 1722*v + 4285*v to the form s + d*v and give d.\nAnswer: 7846","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 5:02 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 4*j**2 + 3*j - 5. Determine z(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10\/(-8))\/((-2)\/8). Let g be -5 + 8 + (-1 + -1)*-1. Suppose -4*z - 4*b - 26 = -6*z, c*b + 40 = g*z. Let m(q) = 2*q - 1. Calculate m(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 763930220.82 and -2.\nAnswer: 763930218.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -243690.\nAnswer: 1\/40615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 9:37 AM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 7*m**3 - 28*m**2 + 1918*m - 1891. Determine y(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/276420 and -65\/44.\nAnswer: 3040620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1631?\nAnswer: 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8275.045mm in centimeters?\nAnswer: 827.5045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.41 + -0.09. Let l = -0.7 - a. Is -0.2 equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4481*w + 9244*w + 1 - w**2 + 4*w**2.\nAnswer: 3*w**2 + 13725*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 0.1. Let o = 0.5 - -1.9. Let c = o - -2.6. What is the closest to -0.1 in 1\/2, u, c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52 + 115. Let w = q - 63.24. Let n = 0.06 - w. Which is the fourth smallest value? (a) n (b) 0.4 (c) 4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2\/2 - 3760*g + 1413760.\nAnswer: 5*(g - 752)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22939194.\nAnswer: 2, 3, 19, 31, 6491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 79, -1, -4, 5 in ascending order.\nAnswer: -4, -1, 5, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 65734951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z**2 + 52*z**2 + 50*z**2.\nAnswer: 111*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 6*g**2 - 10*g - 2. Let i be r(-4). Let x(s) = 2*s + 8. Let a be x(10). Calculate the greatest common factor of i and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, a: 1, e: 5, f: 3}. What is prob of picking 3 t and 1 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 151.90644 - 151.9. Round v to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-5) + 102\/15. Let t = -36 + 30. Let r(n) = -n**3 - 5*n**2 + 4*n - 5. Let f be r(t). What is the highest common factor of o and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 12579.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2\/9 - ((-35)\/7 - (-370)\/45)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a = 5*a + 42 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w - 2. What is the remainder when 15 is divided by f(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3805*g - 3835*g + 8178*g.\nAnswer: 538*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 63695019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5935217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*4*(1 + (((1 + sqrt(363) + sqrt(363))*5 - sqrt(363)) + -2*sqrt(363) + sqrt(363) + 2)**2*2).\nAnswer: 49280*sqrt(3) + 931260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/sqrt(2)*1 + 4*sqrt(882))\/(sqrt(384)*-2*-1*6).\nAnswer: 29*sqrt(3)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(315\/(-6)) - 32*(-39)\/2772. Suppose 0 = -5*i - 15, 0 = s - 3*s - 5*i - 15. Do r and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, j: 1, t: 1, h: 1, x: 1}. Give prob of picking 1 x, 1 l, and 1 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 8*l = -528. Suppose -3*i - 3*a + l = -0*i, 0 = a. Calculate the remainder when i is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -657, -1368, -2201, -3216, -4473, -6032?\n\"Answer: -10*y**3 - y**2 - 638*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1107 and 39267?\nAnswer: 4829841","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538367 is divided by 172.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k - 2*n - 3, -4*k + 3*n = -1 - 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237*n - 31844 = 116*n + 45*n. Calculate the remainder when n is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3136)\/(-3920))\/((-8)\/300)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*t = -63*t + 4555 + 10179. What is the greatest common divisor of t and 583?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/17)\/c)**46*(c\/(c\/c**26))\/((c*c**(11\/4)\/c)\/c) assuming c is positive.\nAnswer: c**(-1111\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.080041 rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -7*a. Let z(o) = 31*o**2 - 6*o - 18. What is m(z(w))?\nAnswer: -217*w**2 + 42*w + 126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1719 - -5663. Is 180 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 30 - 12)*(5*o - 2*o - 2*o) to the form u + a*o and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 63267 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9231*a**6 + 34962*a**2.\nAnswer: 1107720*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 47?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 571 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 247\/10 + -3191\/130. Sort 1\/6, 2, t, -1\/11.\nAnswer: -1\/11, t, 1\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 147 and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -a + n - 1, 4*a + 3*n - 17 = 0. Suppose 0 = 5*o + 3*x + 2, a - 2 = o - x. Solve 2*s - 4*s - o*l + 6 = 0, -5*s + 5*l - 15 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/9)\/((-4)\/48). Let 0 + 3\/2*r**c + 1\/2*r**2 - 3\/2*r**3 + 0*r - 1\/2*r**5 = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-2\/9))\/(x*x**(-1\/7)*x)*x\/x**(-1\/2)*x*x**(1\/2))\/((x**3\/x*x*x)\/x**(-5\/6))**14 assuming x is positive.\nAnswer: x**(-4142\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 + 0\/4 - 2 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2092 - -0.041.\nAnswer: -2091.959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2143820845 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 42\/(-10) + 4\/(-5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t - 22*t + 2*t + (0 - 2 + 3)*(-2*t + 3*t + t))*(-15 + 15 - 8*t) to k*t + p + r*t**2 and give r.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.950941ml to litres.\nAnswer: 0.008950941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -27\/4? (a) -5 (b) 1092 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-1))\/((-2)\/10). Suppose -h + 4*g = -3*h, h - f = 3*g. Let 2*y - 1\/2 - y**5 + 5\/2*y**4 - 2*y**h - y**3 = 0. What is y?\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 5*m + 45, 0 = 4*u - m - 27 - 16. Let d(b) be the second derivative of 0 + 24*b - u*b**2 - 3\/2*b**3. Differentiate d(l) with respect to l.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13086633737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, -112, -147, -162, -151, -108?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from esseseeeeeaaaa. What is prob of picking 1 a and 3 s?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.061 and -458.\nAnswer: -458.061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-306)\/60)\/(-17))\/(3\/5). Which is the fourth biggest value? (a) 4 (b) -9 (c) 3\/4 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12211084 and 1096?\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 0.1198\nAnswer: -0.3594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i + 193 - 168 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4491632962 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/5, 34.2, 1, -1, 13?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -152 divided by 1\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -743 + 743.3. What is the second biggest value in y, -1, -366?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20696412507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x**3 + 7*x**2 - 9*x - 41. Let h(y) = 13*y**3 - 28*y**2 + 38*y + 176. Let g(w) = -2*h(w) - 9*n(w). What is g(4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4132636?\nAnswer: 2, 41, 113, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 4*y**3\/9 - 16576*y**2\/9 - 16580*y\/9 = 0.\nAnswer: -1, 0, 4145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 29 + 79 = 0. Is f a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -98412*l - 32182 with respect to l.\nAnswer: -98412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -297, -592, -887?\nAnswer: -1182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -37*i**6\/360 + i**4\/3 + 2*i**3 - 11*i**2. Let l(w) be the first derivative of h(w). What is the derivative of l(c) wrt c?\nAnswer: -74*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5276.8235 and -64.\nAnswer: -5340.8235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, j: 2}. Give prob of sequence bjj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 5, o: 3, t: 1}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 2:47 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1677396 divided by 12612.\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -23602828 in ascending order.\nAnswer: -23602828, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 19*b - 4828*b**3 - 2*b - 17*b.\nAnswer: -4828*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -109 - -61. Let v be ((-27)\/(-12))\/(9\/x). Let y = v + 14. What is the smallest common multiple of 9 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -14 in increasing order.\nAnswer: -14, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1))**(-23)*((d*((d*d\/d**(-1\/2))\/d)\/d)\/d)\/d*d\/d**(-1\/2))\/((d**5\/d)\/((d\/d**(3\/8))\/d))**(-1\/15) assuming d is positive.\nAnswer: d**(583\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*g - 54*g + 111*g + 2*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(136) - sqrt(136))*2*4)\/(sqrt(512) + -3*(sqrt(512) + (1*sqrt(512) - sqrt(512))) + sqrt(512)).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 27265152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*w + 2*w - 10*w - w.\nAnswer: -20*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2348 and 31318798?\nAnswer: 1174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 7*w**2 - 4*w - 18. Let b be r(14). Suppose 3*c - b - 802 = 0. What is c rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at most as big as 837?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1986 + 1986. Solve -g - 7*g = x for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1248 and 421408?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rydrdryyalrrrdjyadr. Give prob of sequence dddl.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3)*(180*v + 16*v + 52*v).\nAnswer: 496*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 10122201201020?\nAnswer: -10122201201001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(-3*f - f + 8*f)*(0 + 3 - 5 + (-1 - 1 + 1)*(3 + 0 - 1)).\nAnswer: -16*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l. Let d(t) = t + 1. Let n(h) = -h**2 - 2*h - 2. Let k(o) = 2*d(o) + n(o). Calculate c(k(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-5)*165\/(-4) + (-749)\/(-1498)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 18 * -0.11196\nAnswer: -2.01528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5342744 + -1?\nAnswer: -5342745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 858 - 833. What is the remainder when 116 is divided by w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 4) to base 15\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p + 2*p + p)*(-59 - 44 - 13).\nAnswer: 232*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 31\/2 of a meter?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**3 + 8*k**2 - k**3 + 14*k**2 + 2*k**4 - 34*k**2 to the form l*k + j*k**2 + p*k**3 + h + z*k**4 and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 720*c + 1. Let t be q(-2). Let y be ((0 - 0) + 1)\/1. Let v be (y - t)*(-23750)\/3. What is v rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/79? (a) -2 (b) -3 (c) 0.2682\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 78720*j**2. Let g(u) = -10*u**2. What is o(g(m))?\nAnswer: 7872000*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 2*c**2 + 5*c - 3. Let n = -96 + 140. Let s = n - 37. Let g(j) = 2*j + 2. Determine s*g(y) - 3*f(y).\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/4)\/(n\/(n**(-6)*n))*((n**(-1)\/n)\/n)**(-40))\/((n**1*n)**11*(((n\/n**(-1\/4))\/n)\/n)\/(n\/(n**(1\/7)\/n*n))) assuming n is positive.\nAnswer: n**(657\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*j - 479 + 2111. Let m(w) = w**2 + w + 4. Let v be m(0). What are the prime factors of 582\/v*(-5 - j\/18)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -209283779 or -209283782?\nAnswer: -209283782","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.043 times -74.1742\nAnswer: 3.1894906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (-7 - (14 - 8))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 5\/2 (c) 0.13 (d) 2\/238863\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4320 is divided by 1179.\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**2 + 20*p - 8. Give a(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 17433, 3049, -11335, -25719, -40103?\n\"Answer: -14384*b + 31817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2087969, 4175936, 6263905, 8351876, 10439849?\n\"Answer: k**2 + 2087964*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((b**5*b)\/b)\/b*b)\/b)\/(b*b**(-1\/7)))\/(b\/(b**6*b)*b**0*b) assuming b is positive.\nAnswer: b**(57\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -12*g**7\/7 - 8*g**3\/3 + 14. Find the third derivative of v(f) wrt f.\nAnswer: -1440*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8853431?\nAnswer: 149, 59419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17126126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 3080 and 1599.6.\nAnswer: 4679.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + 144267.26\nAnswer: 144266.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5151635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -381402 or -381428?\nAnswer: -381402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 237 - 239. Let q be 7\/3 + 6\/9. List the prime factors of q + 0 + 80 + g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 11, 2.12, 0.09, 4?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 21 = 3*s, 0*s + 4*r = 4*s - 68. Let m = -59 + 67. Solve 4*h + m + s = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-8 + (-57)\/(-6))*124\/3 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3819)\/153 - -22) + 3?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and 517.561?\nAnswer: 516.561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29723260 and 308.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -166530 by -12810.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 2, -1, -61?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-6)*12\/3\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 0*a + 6 - 4\/3*a**3 + 0*a**2 - a**4 - 1\/5*a**5. Factor f(c).\nAnswer: -c**2*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -11*r**2 - 6*r - 6. Let s be 30\/(-15)*(-51)\/(-34). What is l(s)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 4*c**2 - 4*c + 21. Determine h(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1))**(1\/41))**(-2\/21)*(p**(2\/3))**(-21)*(p*p**(2\/5))**7 assuming p is positive.\nAnswer: p**(-18071\/4305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, 0.3, -64\/9, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1210) + sqrt(1210))*4)\/((sqrt(36)\/sqrt(96))\/sqrt(3)).\nAnswer: 352*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 c when three letters picked without replacement from {h: 4, c: 3, a: 1}?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqeqqq. Give prob of sequence qqe.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2 - n - n**3 + 0*n + 1 + 2. Let i be t(0). Suppose -r + f + 2 = -1, 0 = 3*r + 2*f - 29. Solve 0 = -5*p - i, 4*s + 2*p + p + r = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.013 times 3017?\nAnswer: -39.221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 4, 3, -4.\nAnswer: -5, -4, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 124 and 99.\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 13 = 3*g, 0 = -3*u - g - 1184. Let f = u - -1147. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -137 (base 12) in base 10?\nAnswer: -187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2329 and 1037?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 867702091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(1088)*-2 - sqrt(17)).\nAnswer: -17*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41.12 + 41. Let l = 1.42 + n. Let z = -1.2986 + l. What is z rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -12. Suppose h = j*h - 37. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-81))\/(4\/3).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 595275.9 litres?\nAnswer: 595275900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 40*p - 151*p + 666 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9, -3, 7, 21?\n\"Answer: 2*z**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 9*q**2 - 4. Let m be i(-8). Let h be 15\/(-2)*m\/(-45). Suppose -5*b + h - 50 = 0. Is -8 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -35. Suppose 25*q = s*q - 32. Suppose -7 + q = g. Calculate the least common multiple of 10 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9693 - 10294 = -11*i. List the prime factors of i.\nAnswer: 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -3, 0.4, 5\/3, -110.9, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 781, 3120, 7023, 12496, 19545, 28176, 38395?\nAnswer: 50208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14629058 or -14629066?\nAnswer: -14629066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -34 - (-30 + 4 + 10).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1))**(-12)\/(v**(-2\/11))**(-3\/5) assuming v is positive.\nAnswer: v**(654\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16ae15 (base 15) to base 13.\nAnswer: -2c691b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -17, 1\/2, 1.23?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*190\/(-150) - -8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 2:25 PM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -1 (b) -0.3 (c) -3 (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 195726944 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + 7)\/3 + -2. Let s be (-1)\/(n\/(-91)) + -3. Calculate the greatest common factor of 11 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8059 is divided by 8054.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*y - 82, 2*k + 141 = 5*y - 20. Let p = 366\/5 + k. Which is smaller: 1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 g when two letters picked without replacement from {x: 3, c: 2, d: 1, g: 9, z: 2, t: 3}.\nAnswer: 27\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 2)*5\/(-10)*22\/55?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.67 + 9.23. Let s = 0.2 + 9.8. Let i = s - y. Which is the second biggest value? (a) -2\/13 (b) 2\/19 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -1015*t - 97. Does 12 divide y(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 34*z**5\/5 - 414*z**4 - 28574*z**3\/5 - 107514*z**2\/5 - 154628*z\/5 - 73584\/5 = 0. Calculate z.\nAnswer: -7, -36\/17, -2, -1, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/2696587 and -15\/913.\nAnswer: 29662457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 + 43. Suppose 5*z - g = -3*c - 2, 5*c = -3*z + 137. Suppose 5*s = 3*a - 35, -2*s - 2 = -3*a + 21. What is the greatest common factor of a and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 8*x - 113. Let o be a(15). Solve 12*p + o + 17 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v + 0*v + 6*v + (-1 - 1 - 6)*(18379 - 208*v - 18379) + 4 - 4 + 2*v in the form z*v + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 9:00 AM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13578984 is divided by 1006?\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 1 = 3*u + s, 5*u = -4*s - 10. What is a in -u*a**2 + 952 - 476 - 464 - 10*a = 0?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 5 - 7 - 8 + q - 2. Let v be n(5). Do v and -4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 450 is divided by 35.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 57821710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -1b07?\nAnswer: -1b0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 351432 = -5*j, 0 = 2*l + 297*j - 302*j - 702939. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (749268\/62439)\/(((-26)\/(-21))\/2 - 2\/6)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-207)\/(-6)*2)\/(2\/(-4)). Let k = s + 141. Which is the third smallest value? (a) 0.2 (b) -3\/5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -107*s**3*t - 56*s**3 - 3*s**2 - 2*t**3 wrt t?\nAnswer: -107*s**3 - 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 589005617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 143*t**2 + 52*t. Let i(n) = n. Give p(i(j)).\nAnswer: 143*j**2 + 52*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 4*t, -4*g - 5*t + 0 = 2. Suppose g*o - 3*o = -12*o. Solve -3*c + 0 = 3*q + 9, c - 2*q + 9 = o for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 5*i**2. Suppose 5*v - 109 = -4. Let z = v + -16. What is j(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -281*m + 2*m - 506*m - 215*m + 2*m**2 + 223*m to the form l + b*m**2 + i*m and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -m**8\/840 - m**5\/24 + m**3\/2 - 7*m. Let p(j) be the second derivative of c(j). Find the second derivative of p(h) wrt h.\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-69 - 77 - 162)*(-2*s**2 + 7*s**2 - 2*s**2) as h + k*s + w*s**2 and give w.\nAnswer: -924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w - 4*w + w - 7*w - 2*w.\nAnswer: -16*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*((o\/(o*o*o**(-5\/13)*o*o*o))\/o)\/o*o)\/(o\/o**(3\/13)))**(-2\/43) assuming o is positive.\nAnswer: o**(114\/559)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**2. Let v(j) = j**2 + 2*j - 1. Let x be v(-3). Let z(p) = x*p - 4*p + 0*p. Determine z(m(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 303673903?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 7125122.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1782)*2 + (2*sqrt(198))\/sqrt(9))\/((sqrt(16)\/(sqrt(16)\/sqrt(4) + sqrt(4)) - sqrt(4))\/sqrt(2)).\nAnswer: -40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y**3 - y**3 + 0*y**3)*(3 + 0 - 2) - 1 + 1 - y**3 + (-3*y + 7*y - 3*y)*(-8 + 8 - 4*y**2) to the form d*y + g*y**3 + r + n*y**2 and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-82)*8396\/8396?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y - y + 5*v = 95, -1182*y + 2*v = -1180*y - 26 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 2 = -3*d, 5*d - 3*k - 6 = 2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1731 + 1731.7188. What is a rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: -1232251 (base 6) to base 10\nAnswer: -66631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 divided by 180225?\nAnswer: 28\/60075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*i + 18*i**2 + 2*i - 5*i + 0*i.\nAnswer: 18*i**2 + 7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3959671 (base 10) in base 11?\nAnswer: 2264a61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 3*s - 2*s**4)*(18 + 38 + 34) - s**2 + s**4 + s**2.\nAnswer: -179*s**4 - 270*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qvh when three letters picked without replacement from {h: 3, q: 1, v: 1, a: 2}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1383*l + 2 - 1310*l - 2)*(-1 + l + 1).\nAnswer: 73*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(540\/110))\/(4\/(-24))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 5*i - 208 = 57, 3 = -3*i. Let k = -30 - v. Let r = k + -15. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*((-427)\/122)\/(9\/6). Solve -g + 3*s = p, 111*s - 113*s = 5*g + 18 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/524504 and -9\/50?\nAnswer: 13112600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 414840?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 73?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.88 minus -0.00238502116?\nAnswer: 1.88238502116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9254 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 573943\/459311 + -528\/421. Find the common denominator of w and -117\/10.\nAnswer: 10910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - (45 + -73 - 23)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = u - 4. Let f(k) be the first derivative of 0*k**u + 0*k**4 + 1\/3*k**3 + 1\/6*k**6 + 0*k**2 - 1 + 0*k. What is the third derivative of f(t) wrt t?\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5, -35, -113, -263, -509, -875, -1385?\n\"Answer: -4*r**3 - 2*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 13. Let o = w + 6. Suppose -434*x + 224*x = -218*x - 40. What is the nearest to 2.6 in o, x, 2\/15?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 60*y**2 - 62*y + 59. Determine d(61).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6200a + 4?\nAnswer: -62006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 422*f - 595*f + 368*f**2 + 186*f**2 - 1000*f wrt f?\nAnswer: 1108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 3*a + 54. Let s = a - -33. What is the remainder when 43 is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -2*u + 60, 2*u - 20 = -2*j + 54. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b**4 - 4*b**3 - 6*b**2 + 8*b + 1. Let x(p) = 3*p**4 - 3*p**3 - 5*p**2 + 7*p. Let k(r) = 2*m(r) - 3*x(r). Let k(z) = 0. Calculate z.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1\/8, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*5*(3 + 10\/(-4)). Suppose d*l - 60 = -5*l. Suppose 2*z = 2*h - 2, l*z + 3*h - 31 = 2*z. Which is the closest to 1? (a) z (b) -0.05 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1779 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 0.5, 0.41, 0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2944*b + 6303*b - 2091*b to u*b + a and give u.\nAnswer: 7156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 88 = -p - 3*f, -4 = f. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)*2)\/(sqrt(384)\/sqrt(4)).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2852887 bigger than 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7063450213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 44\/3830777 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.218 - -2.218. What is the nearest to s in 0.1, 29, -4, 2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-16) + 4 + (-75)\/20?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4735954?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.834 - 0.074. Let v = -9.66 + f. Let k = 1.05 - 1. Which is the smallest value? (a) 2 (b) k (c) -2 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - 0)\/(6\/4). Let w be (-4 + (-98)\/(-21))\/(6\/q). Which is the second smallest value? (a) -5 (b) w (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.334 rounded to one dp?\nAnswer: 6.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 6. Let a = j + 7. Suppose 0 = -a*f + f + 1. Which is bigger: f or -1\/6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2043323 to the power of 1\/3, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 71240872 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 8*a**2 + 8*a + 9. Let d be y(-7). Sort 5, 3, d in descending order.\nAnswer: 5, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + 0 - -24) + -8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o - 43. Let g be x(14). Let k be 3 - (8 + -6)*1\/g. Suppose k*d + 526 = 4*u, 3*d = -4*u - d + 508. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 10 = 11*u. What is the smallest common multiple of -2 - (u + 2) - -12 and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/4 of a week?\nAnswer: 27720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 not equal to 1153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2915)\/(-33)*1 - (12 + ((-105)\/(-45) - 14)).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59476 divided by -5.\nAnswer: 59476\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 84454 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 6*k + 30. Let u be 2 + 699984\/10 + k\/75. Round u to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -245*j**3 + 974260*j**2 - 556660*j + 79520.\nAnswer: -5*(j - 3976)*(7*j - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 i when three letters picked without replacement from {d: 1, n: 1, i: 2, h: 2, l: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*x - 22*x + 29*x - 1)*(-4*x + 3*x + 3*x)*((-3 + 2 + 3)*(1 + 3 - 6) + 4 + 2 - 5 - 3 + 5 - 4).\nAnswer: 230*x**2 + 10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3)\/(r*r**(-2)))\/(r*r**(1\/3))**9 assuming r is positive.\nAnswer: r**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 63 + 66, 2*m - 123 = 3*d. What is the greatest common factor of 13587 and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5407.292um in meters?\nAnswer: 0.005407292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 11, -2 in increasing order.\nAnswer: -2, 0, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 78 + -79.4. Let y = -1.9 - -0.1. Let m = z - y. Which is the third biggest value? (a) 5 (b) -0.3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w - 13*w = 0, d + 2*w = -4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 + -6. Let k be (-4 + 7 + (-13)\/3)*-114. Calculate the greatest common factor of f and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.69 + 3197382.173029\nAnswer: 3197384.863029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(48)*5 - (0 + (sqrt(3) + 0)**2 - (sqrt(3)*1 + 5)).\nAnswer: 7 + 21*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2219*g - 24423*g + 14 - 14.\nAnswer: -26642*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 0 - (-14 + 2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 0.16, 2?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27202949 or 27202947?\nAnswer: 27202949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 243\/(-2835)*7\/5\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.34 (b) -67 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2*u. Suppose u*v + 3*v = 15. Let r be v*2\/2 - 0. Solve -4*f + r = -9*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, 0.2, 3, -3\/7, -3, 0 in descending order.\nAnswer: 3, 0.2, 0, -3\/7, -3, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -247836 less than -103.1694513?\nAnswer: 247732.8305487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9695 divided by -35?\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*s + 47*s - s**2 - 2*s**2 + (-3*s - 4*s + 4*s)*(s + 0*s + 0*s) as j*s + y*s**2 + w and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 11188 = -2*w, 6*w + 5824 - 22606 = -3*r. Does 19 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50.47 + 46.4. Let v = -113 + 112.93. Let x = v - f. What is the closest to 0 in -0.3, x, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4584 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: Is 11914898 a multiple of 681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 13\/5, -4\/7, 0, -3, -0.04 in increasing order.\nAnswer: -3, -4\/7, -0.2, -0.04, 0, 13\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46 + 38. Let q(p) = 35*p**2 - 6*p**2 - 6*p**2 - 14 - 15*p**2 - 5*p - 5*p**3. Let k(u) = 3*u**3 - 5*u**2 + 3*u + 9. Determine y*k(a) - 5*q(a).\nAnswer: a**3 + a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of r**6\/720 + r**5\/120 + r**4\/24 + 2*r**2. Let w(k) be the second derivative of o(k). Calculate w(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278411 is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*k = 40*k - 16. Suppose 5*g = -k*g + 2*g. Solve 3*m - 6 = -2*w - 2, 3*w - m + 16 = g for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 8*k**2 + 2*k - 7. Let i be b(8). Let v = i + -14. Which is smaller: -6 or v?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 42 = 6*d. Let w = -9 - d. Calculate the highest common factor of 25 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 566042210.\nAnswer: 2, 5, 439, 128939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - t. Let d(a) = -a**3 + 3*a**2 - 4*a. Suppose -15*b + 18*b = -87. Let y = b + 29. Suppose -p - 3*p - 4 = y. Calculate p*d(o) + 2*f(o).\nAnswer: o**3 - o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eyyywweyewe. What is prob of picking 1 e and 1 y?\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-6))\/((-3)\/(45\/(-40))). Solve -s*t**5 - 1\/4*t + 0*t**2 + 0 + 1\/2*t**3 + 0*t**4 = 0 for t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 384*t - 37465. Give f(101).\nAnswer: 1319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*h = 2*n + 85941, 0 = -3*h + 4*n - 51549. Let o = h + 187. Round o to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 5:40 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 75027517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of 7*w**6\/6 - 7*w**2\/2 + 2. What is the second derivative of f(y) wrt y?\nAnswer: 140*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - n**2 + 0)*(-3 + 2*n + 3)*(-13 - 5*n + 13).\nAnswer: 10*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 139145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*n - 7*n + 9*n)*(-118*n + 86*n - 101*n)*(0*n + 5*n - 3*n) in the form u*n**3 + r + f*n**2 + z*n and give u.\nAnswer: 2128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 12) in base 2?\nAnswer: 10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18757250 + 997250. What is k rounded to the nearest one million?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - g - 13 = 0, 38*x - 36*x - g = -7 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 2*t + 3 + (t - t + 2*t)*(0 - 2 + 4) - t + t - 5*t - 3*t + 5*t - t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/2 of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 384 smaller than 385?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.1 (b) -23 (c) 3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**4 + u**2. Let o(m) be the second derivative of 2*m**6\/15 - m**4\/4 + 3*m. Let n(c) = -o(c) - 3*v(c). Solve n(t) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-8)*j*j*j*j\/j**(-1\/5)*j*j**(1\/12)\/((j*j*j**(-2\/7))\/j)*(j\/(j**(-2\/3)\/j)*j**(-3\/4))**9 assuming j is positive.\nAnswer: j**(1451\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/54 and -53\/189.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*l**2*v*x**2 - 9*l**2*x**3 + 50*v*x**3 - 14*v wrt l.\nAnswer: -16*l*v*x**2 - 18*l*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 3 = -5*r, 56*f - 61*f = 2*r - 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17505766 = 19*d - 197*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -10001101?\nAnswer: 10010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -449765 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-42)\/(-126)*(-24)\/(-5). Find o such that -a*o**3 + 4\/5*o**4 + 8\/5*o + 12\/5 - 16\/5*o**2 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 3. Let v be 5\/t + (-9)\/36. Which is the third biggest value? (a) v (b) -3 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (-6 - 0 - 1 - -10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52838923711107484\/1539 - 34333285045974. Let q = v - -1283071. Let l = q - -8\/81. Which is bigger: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 1626786.\nAnswer: 1626786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 912, 1830, 2744, 3654, 4560, 5462, 6360?\nAnswer: 7254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i - 13 + 10 + 1 + 0*i + i**4 - 3*i**2 + 2*i to d*i**4 + l + f*i**2 + x*i + u*i**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 503*n - 72*n - 122*n + 677*n as w*n + g and give w.\nAnswer: 986","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -512918*b**5*l**2 + 3*b*l**2 + 135475*l**2 wrt b.\nAnswer: -10258360*b**3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 375321287.\nAnswer: 11, 34120117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/85 + -933\/170. Let u be (1\/3)\/(16\/528). Suppose u*m - 18*m - 42 = 0. Do i and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 + 2)\/((-7)\/(-1351)) + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*h**3 - 2*h**3 + 3*h**3)*(-554 - 1981 - 501 + 870 - 1155) in the form g*h**3 + r*h + q*h**2 + j and give g.\nAnswer: 6642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*i + 3*i - 18*i - i to the form x*i + y and give x.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 435486 and 17014?\nAnswer: 20467842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = n - 8, -3*n - g + 20 = 3*g. Suppose -18 - 10 = -n*s. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 396 and 258543.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33.9 + -36. Let b = -2.21 - r. What is the third biggest value in b, 0.4, -0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1316*q - 43458 + 5351 = -1556*q + 13589 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -291 - -286. Let a = 20\/7 - 87\/28. What is the second smallest value in v, a, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(25\/16))\/(8\/(-20))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6240 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 + 31. What is the third derivative of w*q**3 + 1 + 2 - 7*q**2 - 3 wrt q?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121121 - -122?\nAnswer: 122020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6193 divided by 28\nAnswer: 6193\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1285)\/(-2))\/((-21)\/84). What is c rounded to the nearest 100?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9320754788 + 34*l**2 - 4660377397 - 4660377391.\nAnswer: 34*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 94165, 377206, 848935, 1509346, 2358433, 3396190, 4622611, 6037690?\n\"Answer: -z**3 + 94350*z**2 - 2*z - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 542 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: Calculate 5 + (-22 - (-12 + 8)) - -4 - 4.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 61, 189\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-69) - 234\/(-46). Suppose 12*p - g = -17. Suppose 0 = -4*v + 3*c + 9, -5*v + 0*c = 5*c + 15. Is v < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 3*v + 281 - 59, 76 = -q - 3*v. Let r = -27 - q. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w + 8. Let i = -17 - -7. Let m be 64\/i - (-12)\/30. What is c(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -394157070*g**3 + 2*g**2 + 4*g - 982529.\nAnswer: -2364942420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97102, -97167, -97232, -97297, -97362, -97427?\nAnswer: -97492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*u**3 + 6506022*u**2 + 503910457245*u + 287946708300.\nAnswer: 3*(u + 154905)**2*(7*u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of 0*p**2 + 0*p**3 - p + 0 - 1\/12*p**4. Let z(v) = v. Let t(h) = 3*h. Let k(i) = -2*t(i) + 9*z(i). Determine u(k(r)).\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -466\/3 + 156. Let f = 3\/136 - -197\/3400. Which is the biggest value? (a) -0.2 (b) f (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 16*d**2 + 17*d + 6. Let q be x(-17). Suppose 0 = -3*v + q + 81. Suppose 3*k = 127 + v. Does 26 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 615053369?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 20.7 * -266\nAnswer: -5506.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 659599 is divided by 776?\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 16760712 divided by 6407\nAnswer: 2616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -4 (b) 0.06 (c) 0.1 (d) -1 (e) -0.06281\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 5*t + 2. Let q(g) = -3*g - 1. Let x(u) = -8*q(u) - 5*y(u). Let f be 0\/(1 + (-1 - -2)). Calculate x(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2926.3755ns to minutes.\nAnswer: 0.000000048772925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -6*p**2. Let b(f) = 2. Let r(m) = m + 1. Let z(t) = -4*b(t) + 8*r(t). Calculate x(z(u)).\nAnswer: -384*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4*s**2 - 6*s - 5. Let b(z) = 5*z**2 - 7*z - 6. Let p be (-1 - 2)*(-33)\/3. Let r be p\/6 + 1\/(-2). Calculate r*b(g) - 6*t(g).\nAnswer: g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03774 rounded to 3 decimal places?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, -5, -105, 3, 1\/4, -237?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 3854?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 4\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -225725, -225650, -225525, -225350, -225125, -224850?\nAnswer: -224525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + sqrt(19)) + sqrt(19)*-3*-4 + (-1*(sqrt(133) + sqrt(133) + 1*sqrt(133) + sqrt(133)))\/(sqrt(847)*2).\nAnswer: -18 + 196*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1122155 (base 7) to base 2\nAnswer: -100010001100000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p - 4*i + 18, 2*i - 12 - 2 = -5*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 75*k**2 + 154*k + 1. Let j be f(-77). Let y = -5 + 9. Let t be 4\/22*6\/(-4). Which is the third biggest value? (a) j (b) t (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -646691220633 + 0.\nAnswer: -646691220633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -6*c + 10 + c**2 + 3*c**3 - 2*c**3 + c**2. Let d be b(-4). Let q be ((-4)\/(-40))\/((-2)\/(-8)). Is q bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333 is divided by 47?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -165 + 164. Which is the closest to -1? (a) 2 (b) i (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/8)\/((-6)\/4). Let n(p) = p**3 - 6*p**2 + 2*p + 7. Let w be n(6). Let o = w - 20. Sort o, g, 1.\nAnswer: o, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**2 + 7 - n + 0*n**3 + 16*n + 2*n**3 to h*n + i*n**3 + s*n**2 + u and give h.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2138*b**3 - 497*b*f**2 - 95*f**2 - 2*f - 2851 wrt b.\nAnswer: 6414*b**2 - 497*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 62 - 56.2. Let f = -5.8 + j. What is the biggest value in -3, f, 3, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-8\/9)*z*z**0\/z)\/((((z**(-11)*z)\/z)\/z)\/(z*z\/((z*z*z*z*z**2*z*z)\/z))))**(-4\/7) assuming z is positive.\nAnswer: z**(-220\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 14159117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 2*t**2 - 4*t + 8. Let a be y(6). Suppose -3*m = -m - a. Calculate the greatest common factor of m and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284596?\nAnswer: 2, 13, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11a40 (base 12) to base 16\nAnswer: -5d90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -48\/5*k + 54\/5*k**4 + 3*k**5 + 0 - 54\/5*k**2 + 33\/5*k**3 = 0?\nAnswer: -2, -8\/5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - d + 108, d - 41 - 139 = -5*k. Suppose -2*y + 6*y + k = 0. Let w(r) = -134444*r + 4. Let z be w(y). What is z rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 28 = 4*f, 2*f + 11 = 7*f + 3*m. Suppose -106*d + 68*d + 38 = 0. Sort 7, f, d, 2 in ascending order.\nAnswer: d, 2, f, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**2 + 11*b + 6. Let g be x(6). Solve -z - 2*i + 4 = g, 5*z - 2*z = 3*i - 15 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -76, 24, 3, 8.\nAnswer: -76, 0, 3, 8, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 638671 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/78 and -27\/416.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -46 - 66. Let a = 29 - w. List the prime factors of (a - 21\/(-6))*20\/15.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -5*g - 7. Let z(v) = 2*v + 3. Let q(r) = 3*t(r) + 7*z(r). Let x be q(-3). Let i be (608\/3)\/(-8) + (-2)\/x. Is -27 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -809754, -809791, -809804, -809781, -809710, -809579?\n\"Answer: 2*b**3 - 51*b - 809705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(500) - (sqrt(500) + 0))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*9\/12*2\/3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*q - 5310 = 365*q - 3713 + 6749 for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -326*p + 215*p**2 - 321*p + 143*p**2 + 969*p - 322*p.\nAnswer: 358*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*x + x + 27. Suppose -x - 1 = -2*t. Differentiate 7 + 8*l**2 - 13*l**2 - 7*l**t with respect to l.\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -1132 - 18*b**4 + 3*b**2 + 1105 - 8*b**4. Let r(i) = 27*i**4 - 2*i**2 + 26. Let t(f) = 2*g(f) + 3*r(f). Find the first derivative of t(j) wrt j.\nAnswer: 116*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2 = -7. Suppose -5*z - i*r + 2*r + 1 = 0, -2*r = -5*z - 2. Let a(p) = -p - p + z*p - p. Let q(l) = -2*l. Give a(q(w)).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 = 2*j + 5*i, -j - i + 70 = 3*i. Let b be j\/1023 + 4\/(-66). Solve b = 6*s + 2 - 26 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 172703 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 23915144?\nAnswer: 167406008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -5. Let x = s - 8. Let d = -0.06 + -0.34. Which is the closest to -1\/2? (a) d (b) 0.4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16126137 is divided by 217?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -6\/371, -0.1, 1\/5, -2 in ascending order.\nAnswer: -2, -0.3, -0.1, -6\/371, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 9170 divided by 4\nAnswer: 4585\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 650457 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -1413, 2 in descending order.\nAnswer: 5, 2, -1, -1413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 4 (c) 1\/3 (d) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or 9\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60 - 59 + 184 - 6*g - 68 - g**2 to the form a*g**2 + q*g + l and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {r: 7, b: 5}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 348158 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 4*l + 98. Let u(z) = -2*z - 49. Give 6*a(o) + 11*u(o).\nAnswer: 2*o + 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of i**2 - 1\/4*i**4 + 2\/3*i**3 + 0*i - 16. What is p(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 17)\/(-4) - (-14 + 16). Let v be (-258)\/(-1806)*(12\/c - -1). Which is smaller: v or -1\/20?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 498 and 27?\nAnswer: 4482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qcqh when four letters picked without replacement from {v: 1, c: 4, q: 2, h: 6}.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 545287190.\nAnswer: 2, 5, 7, 1112831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2462*g**3 + 7*g**2 - 305*g - 5. Let z(t) = -2461*t**3 + 6*t**2 - 310*t - 4. Let i(s) = -4*w(s) + 5*z(s). What is the third derivative of i(u) wrt u?\nAnswer: -14742","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04458 in -4\/5, -1, -2\/5, 2\/5, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k. Suppose -10 = -6*a + a. Let g(i) = -i - a*i + 0*i. Calculate g(f(y)).\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40.2 - -40. Let f = 1 - 0.7. Suppose -j = -4*j + 3. Which is the closest to x? (a) j (b) f (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + x = -3, 15*m - 16*m + 5*x + 15 = 0. Let q = 0.4 + -0.7. What is the nearest to m in q, -2\/3, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2974 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v - 16. Let o be k(-13). Put o, -12, 0 in descending order.\nAnswer: 0, o, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*i + 14*i - 30*i - 2*i**3 + 27*i.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/(-3) + (-1064)\/56.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l - 1. Let t be r(-1). Suppose 2*s + t = 4. Suppose s*u = -u. Solve -f + u = 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 123?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3203353 is divided by 1179?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3696 divided by -56.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1*sqrt(252) + sqrt(7) + sqrt(28)*1) - -4*(2*sqrt(6300) - sqrt(6300))\/sqrt(9).\nAnswer: 46*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 v when two letters picked without replacement from {i: 1, h: 1, v: 1, e: 3, c: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*q**2 + 4*q**2 - 3*q**2 + (-3*q + 3*q + 2*q**2)*(3 - 3 - 5).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11007 a multiple of 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208*w + 214*w + 18 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/772 and 31\/739220.\nAnswer: 142669460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 24, -1134, 5 in decreasing order.\nAnswer: 24, 5, -3, -5, -1134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 35759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*q**3 - 45*q**3 - 28*q**3 - 43*q**3 - 37*q**3.\nAnswer: -28*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - j = -305, 9*f + 5*j - 325 = 4*f. Let h = -14270 - -14309. Calculate the remainder when f is divided by h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((y**2 + 0*y**2 + 6*y**2)*(0*y**3 - y**3 - 5*y**3) - 2*y**5 - y**5 + y**5)*(3 + 3 - 1).\nAnswer: -220*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14226.87 + 14431. Let g = -1.87 - r. Let t = -205.909 - g. What is t rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9261 = 49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5003363 + -654?\nAnswer: 5002406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1503017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -741, -732, -721, -708?\n\"Answer: b**2 + 6*b - 748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 6*p**2 + 4*p - 6. Let m be (-3)\/((-3)\/2*1). Suppose -3*r + 0 = -c + 14, -4*c - 5*r = 29. Let l be -5*c\/(-2)*m. What is u(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o**2 + 152*o + 5168. Determine w(74).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 84 = -0. Suppose -4*d - 22 = -2*q - 3*d, 3*d = -3*q + u. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.3006 + -1.6006. Suppose -m - 4*m + 15 = 0. Suppose 0*x + m*y = x + 14, -2 = 3*x + y. Which is the smallest value? (a) f (b) x (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8626781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1)**(-1\/45)*i\/(i*(i\/(i\/((i**(-5\/2)*i)\/i)*i))\/i)*i*i**(-1\/2)\/i*(i**(-3\/7)*i**(-1\/3))\/(i**(-1)*i)**(8\/15) assuming i is positive.\nAnswer: i**(1013\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**5 + 2*r**5 + r**5 + r**4 + 2*r**5 - r**4 + (-31 + 31 - 6*r**4)*(r + 3 - 3) + r**5 - 4*r**5 + 2*r**5 + 0 + 0 - r**5.\nAnswer: -4*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 8, 12, 1 in decreasing order.\nAnswer: 12, 8, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-3)\/g*g**7)**(-12))**(-1\/8))**(-12) assuming g is positive.\nAnswer: g**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 3*r, -7*h + 3*h - 5*r = 0. Suppose -3*t = -h*t - 504. What is the greatest common divisor of 21 and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 h, and 1 o when three letters picked without replacement from wghwhwwwo?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p**2 + 68*p - 172. Let w be q(-22). Solve -221*j + w*j = 47 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11399.2 times -0.0367?\nAnswer: -418.35064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z + 48 + 2*z**2 - 2*z**4 + 12*z**4 - 47 + z**3 in the form y*z**3 + i*z**2 + n*z + s + p*z**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*k**3 + 275*k**3 - 89*k**3 - 96*k**3.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 636*t + 9. Let h = 21 + -10. Let q be s(h). Let o be 2\/(-10) + q\/25. Round o to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 12*q = 35. Suppose q*i + 0*i - 40 = 0. What is the remainder when 13 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -116\/3*r**3 - 1\/3*r**5 + 39*r + 54 - 142\/3*r**2 - 20\/3*r**4 = 0.\nAnswer: -9, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -297 - -472. What is the remainder when f is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 7770 = 4*o, -71*o - 7770 = -q - 66*o. Does 39 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f**3 + 4*f**4 + f**3 + f**4 + f**4 + 2*f to q*f + y*f**3 + p*f**2 + d + n*f**4 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.818*-0.5\nAnswer: -0.409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 17*d + 163. Give z(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -16. Let u be 6*3*s\/9. Solve -4*b = 2*l + 3*l + 25, b + u*l = -9 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 + 70. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 4:41 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zdddwddwydddzydddwwd. What is prob of picking 3 w and 1 d?\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 132105241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0803 in -7\/2, -3\/2, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2539*w - 172665. Determine x(68).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -427269*1.8\nAnswer: -769084.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 295 and 973264.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7976 + 94696 + 15463 = -2441*h - 21002 for h.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 582 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20\/19 - 15\/76. Let v = -62848 + 3079299\/49. Let c = 51\/98 + v. What is the common denominator of b and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -7. Let y = -15 - -25. Suppose -4*j + 2*c + y = 0, 4*c - 25 = -3*j + 2*c. Sort -3, j, g in increasing order.\nAnswer: -3, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 534.\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 9:43 PM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -268f + 2be?\nAnswer: -23d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 17 = i, 5*h - 1657*i = -1655*i + 11 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2356)\/(-285))\/31)\/((8\/(-9))\/(-4)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p**5\/6 + 22*p**4\/3 + 167*p**3\/2 - 21*p**2 - 1764*p = 0. What is p?\nAnswer: -21, -6, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 357 divide 242760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 16. Let k be (22\/(-6))\/((-8)\/48). Suppose -k = -2*g - 0*g. Calculate the remainder when g is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32.77 + -32.37. Let r = 7 + -7. Let d = 0.08 - 0.02. What is the closest to r in d, c, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -10. Suppose -5*s - 3*i = 624994, c*s + i - 239127 = -614125. What is s rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -2*r + 7, 0 = -d + 3*r - 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2. Suppose 0 - 12 = -2*r. Let z(m) = m - 7. Suppose 2*b + p = 2, -6*b = -b - p - 12. What is b*z(s) + r*f(s)?\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 4*f - 631, 5 = 7*x - 2*x. Is f a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*(m\/m**(-15\/2)*m)\/m)*m)\/m**(-3\/23) assuming m is positive.\nAnswer: m**(-339\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m - 37*m = -484. What is the lowest common multiple of m and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -1\/3*i**4 + 0*i**3 + 2 + 0*i**2 + i. Factor v(k).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -27 - -119?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 3, 0 = l + 2*p + 2*p + 7. Suppose 4*m - l*o = 381, 5*m - 656 = -o - 158. Calculate the highest common divisor of m and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6385 = 75*f + 9010 for f.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 489 - 300. Calculate the remainder when c is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25.6 - 29.6. What is the fourth smallest value in -21, -5, 1\/2, v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**3\/2 + 417*k**2\/2 = 0. Calculate k.\nAnswer: 0, 417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 467 * 0.1.\nAnswer: 46.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (486\/(-1701))\/(5\/21)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 617095460?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4160 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - s - 1. Let q(x) = -6*x**2 - 7*x - 5. Let i(a) = -5*o(a) + q(a). Let t be i(-1). Let j = -1 + t. Solve 1 = g - j for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -110774340 to the nearest 10000.\nAnswer: -110770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 18*c**2 + 31. Let o be j(18). Suppose -3*h = -4*r - 38, 2*h + 2*r + r - o = 0. What is the greatest common factor of h and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0055091047 rounded to 5 dps?\nAnswer: 0.00551","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 24795, 24793, 24791?\n\"Answer: -2*b + 24797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25632 - 24*g - 25632.\nAnswer: -24*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -19. Let x = v - -8. Sort 2, x, -1 in descending order.\nAnswer: x, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -176\/15 - 2\/15*h**2 - 178\/15*h.\nAnswer: -2*(h + 1)*(h + 88)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -96, -194, -284, -360, -416?\n\"Answer: o**3 - 2*o**2 - 99*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6322401000 rounded to the nearest 1000000?\nAnswer: 6322000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 61105 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 136\/3 + -45. Let y = 5.13 + -0.13. Let q be (-1896)\/(-14220) - 26\/45. Which is the closest to 0.1? (a) y (b) q (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q**2 - 16*q + 27. Let c(u) = -11*u**2 + 46*u - 80. Let t(g) = -3*c(g) - 8*f(g). Calculate the remainder when 29 is divided by t(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1016 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 337977.2 millimeters?\nAnswer: 337.9772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -3*b + 3, -4*c = -4*b + 17 - 53. Suppose -3*w - 5*p = -c*p - 103, 3*p = -5*w + 195. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -5*a**2 - 5802100*a - 1683218220500 = 0.\nAnswer: -580210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -1088 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1358 - -5865514\nAnswer: 5866872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*d - 205*d + 134 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 499 + 422 + 330 + 7*n - 414 to c + i*n and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -3*d + i, 5*d = -0*d + 3*i + 76. Let p be (4\/3 - -1)*-3 + 63. What is the greatest common divisor of p and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*((w*w*w**(-13\/2)*w)\/w)\/w)\/w)\/(w\/(w**(3\/10)\/w)) assuming w is positive.\nAnswer: w**(-36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*j + 3136 = -353*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - w**2 - w + 1. Let u be f(0). Let h be 81\/6*2\/3. Let j = h + u. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 77 - 79. Let j(r) = -r**3 - 9*r**2 - r - 8. Let f be j(-9). Which is smaller: f or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.211158km in meters?\nAnswer: 9211.158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110000 (base 3) to base 2.\nAnswer: -101000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9417*c - 16432*c + 1107*c - 1710*c + 3606*c to the form n + j*c and give j.\nAnswer: -22846","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6786)\/(-1508)*(-2)\/(-27).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*y**2 - 34*y**2 - 38*y**2 - 37*y**2.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) 0.87 (c) 0.24 (d) 4 (e) 47\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4*i = 0, 0 = 4*i + 20. Solve a = -4*a + h for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 244326?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/4 + (-26)\/(-4). Suppose -4*m - 39 = -3*t - d, -24 = 3*m + 3*t. Let z = -1 - m. Solve -p + z = -0*r - 3*r, -r = -3*p - 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -76 + 73. Which is the nearest to 2? (a) 0 (b) -0.2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -195 divided by -39?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2)\/(-10))\/(6\/1410)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 516419 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/(-4) - -2)\/2. Solve 0 = -2*v - g*v - 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5 = 1. Sort 1, 18, v, -8.\nAnswer: -8, v, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.8389 to 2 dps.\nAnswer: -2.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -185*c**3*h*p + 2*c**3*h + 610*c**3*p + 3*c**2*h*p + 3*c**2*p - 11*c*h - 2*c*p - 2*h + 43 wrt c.\nAnswer: -1110*h*p + 12*h + 3660*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 4*t - 43 - 12 + 3 - 32 as q + w*t and give q.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, 3, -73, 655, 2\/55, -0.3 in descending order.\nAnswer: 655, 3, 2\/55, -0.3, -3\/5, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 722767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(((-15)\/(-20))\/(6\/(-16))). Let q(j) = -j**2 + 446. Is q(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 - (9 - 0)\/(-3). Suppose -6*p - 38 = -5*x - 2*p, -4*p - v = 0. Suppose -4*f = -f. Solve f = -2*o - o + x for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -256*w**3 - 16*w - 250*w**3 + 14*w - 474 + 508*w**3 + 2*w**4 + w**2 to the form o*w**2 + c + x*w**3 + q*w + p*w**4 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87485.\nAnswer: 5, 17497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 smaller than 539424?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -134169 (b) 32 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -56*m + 41*m + 35280. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m - 2*m**4 - 5*m)*(3 + 2 - 3) + 21*m**4 - 61*m**4 - 16*m**4 + (3 + 1 - 2)*(m - m - 3*m**4).\nAnswer: -66*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9380645220*t + 9380645220*t + t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.6 minus -7.93?\nAnswer: 11.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 782.0097 hours?\nAnswer: 2815234.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7 - -2)*6\/10. Let i(j) = j**3 + 2*j**2 - 5*j - 3. Let t be i(f). Let b(c) = 0*c**2 - 4*c**2 + t*c**2 - c**2. Let q(y) = -y. Determine b(q(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1342258 is divided by 167525?\nAnswer: 2058","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3718 + 3721. Solve -v*a + 7*a + 10 = 2*j, -5 = 3*j - a for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14555 and 5215.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from qqqqqqqbb.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -5, 23.\nAnswer: -5, 1, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 588 = -m + 50*m for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62, 152, 264, 392, 530, 672, 812?\nAnswer: 944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 674838525?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3099?\nAnswer: 3, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1 - 3*m**4 + 4*m**3 + 19*m - 20*m - 3*m**3 - 6 wrt m.\nAnswer: -36*m**2 + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58654*w - 42 = -58660*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 11. Let k = 115 + -1034\/9. Which is the smallest value? (a) u (b) 0.2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 24.006753s?\nAnswer: 0.40011255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -52035 or -4881?\nAnswer: -4881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24357)\/2737 + -9 + 354\/42 + 9?\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1915*y - 1923*y = -18944. Is 64 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 2\/3*i**3 - 1\/4*i**4 + 0*i + 7 + 2*i**2. What is o(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6468000 to the nearest ten thousand.\nAnswer: -6470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.638 + 6.7. Let x = 3.938 + r. Which is the closest to -2? (a) 0 (b) x (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-9 - (6 - 8) - 10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6288367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1452356.8965837 - 1452357. Let a = -49.1093163 - t. Let j = 49 + a. What is j rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101111001111 (base 2) to base 5.\nAnswer: 44043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((2*sqrt(1100))**2 - (sqrt(539) + 0 + sqrt(11))) + -2 + ((sqrt(121) - 1*sqrt(121) - sqrt(121))*-1)\/(sqrt(22)\/(sqrt(2) + sqrt(2)*2)).\nAnswer: -5*sqrt(11) + 4399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -361600 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 105624146 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3 + 5160*m**2 + 188268*m - 5853360.\nAnswer: 3*(m - 20)*(m + 58)*(m + 1682)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4 - 10*h**3 + 116*h**2 + 840*h.\nAnswer: -h*(h - 10)*(h + 6)*(h + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 380 - 369. Is 1\/3 at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245 - (0 + -2)\/(-2) is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11560 + 11566. Let q = -3 - -5. What is the fourth biggest value in q, r, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 7 = 3*j, 0 = 5*l + j - 37. Suppose -4*a + 52 = -2*f, f = 5*a - 4*f - 55. Suppose -2*q + l*q = a. Solve -9 = 4*v + 4*w + q, -2*v - 1 = -3*w for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -14*q - 65. What is m(-6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)\/(5*(sqrt(32) + sqrt(8) - sqrt(8))))\/(sqrt(128)*5*-5).\nAnswer: -sqrt(2)\/1000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/551 + -14881\/2204. Are -7 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3472 and 10912?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f**3 + 167*f**2 - 1068*f - 38388. What is g(-58)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 6*l + 2*l + 12789, 15 = -5*l. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 749.317506 to the nearest integer.\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 + 32 + 435652*g.\nAnswer: 435652*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 13*q**2 - 11*q + 44. Let a be w(-14). Suppose 0 = -f + a*m - 3 + 15, 4*m + 20 = 0. Solve -5*y = -f*d + 28, 0 = -3*y - 3*d + d - 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12100.3 - 12100. Suppose 0 = 7*t - 3*t - 8, 2*g + 2*t - 6 = 0. Let o be 10\/(-8) + 1\/g. Which is the third biggest value? (a) -5 (b) o (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -413\/3 + 139. Let l = 4.6 + -5. Which is the nearest to y? (a) l (b) 2\/3 (c) 3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + 8*t - 3*s - 157, 5*t - 3*s = 379. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1774*g = -1784*g - 30. Let c = 40 - 91. Let v be (1\/2)\/(c\/18 - g). Solve v*a - 2*a - 2 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhe when three letters picked without replacement from {h: 3, e: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*z - 3*p, 0*p = -z - p + 5. Let m be (3 + -1 + 2)\/z. List the prime factors of (-2)\/4*(-40)\/m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a century?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-4)*-2)\/(210\/20).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 1:46 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = l - 4*b, 3*b = -4*l + 1490 - 1533 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77, -186, -309, -452, -621?\nAnswer: -822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25114, 25119, 25138, 25177, 25242, 25339?\nAnswer: 25474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 4*j + 56, -3*t - 3*j + 37 = -2. Let x be (t\/(-15))\/(6\/(-135)). Solve -g + x = -0*g - 5*b, 0 = -4*b - 16 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n - 2*n**3 + 4*n)*(-1036 - 156 + 2010)*(-4*n - 2*n + 4*n).\nAnswer: 3272*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227343?\nAnswer: 3, 75781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39026 and 4142?\nAnswer: 4253834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 157, 7, 1 in descending order.\nAnswer: 157, 7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhph. What is prob of sequence phh?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 w, and 1 x when three letters picked without replacement from {y: 3, d: 5, u: 1, f: 3, x: 2, w: 1}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.8 + 5. Let p(r) = r**2 + 6*r. Let j be p(-6). Suppose 0*d - d = 0. Which is the nearest to d? (a) j (b) -5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 246*f - 6166. Let t be l(25). Does t = 113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -44*f**2 + 2. Let l(d) = 44*d**2 - 3. Suppose 0 = 4*t + 5*j - j, -3*j + 12 = -t. Let h(p) = t*n(p) - 2*l(p). Is h(-1) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 2*m + 4. Let l(x) = x**2 + 2*x - 4. Let g(s) = -5*l(s) - 6*w(s). Let f be g(2). Solve u = f*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -104*g - 1597. Let r be y(-21). Sort r, -4, 2 in decreasing order.\nAnswer: r, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5862645 to the nearest integer?\nAnswer: 2421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -367 (base 8) in base 11?\nAnswer: -205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -1, -0.2, 21.044, 0.7, -0.9?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, p: 3, n: 2, i: 5}. Give prob of sequence ipin.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*l - 6. Solve -2*c**2 - l + 5 - 2 + 0*c - 4*c = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 124 + -35. Let w = 127 - x. Is w a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7b1ba6 (base 15) to base 4\nAnswer: -112123023222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -467*d**3 - 23*d - 3711*d**3 - 2202*d**3 + 33*d + 3 wrt d.\nAnswer: -38280*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vmmvvlmlvgmvmvmwlw. What is prob of sequence vmwl?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -119.884 rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-5)*((-84)\/63)\/((-12)\/(-90))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*c**2 + 3*c*x + 2*c - 345*x wrt c.\nAnswer: -18*c + 3*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 + -4c?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -1. Let a(g) = -g**2 + 11*g - 36. Let l(d) = 2*d + 1. Let p(q) = -a(q) - 3*l(q). Let c be p(15). Solve -c*x - 2*x = z for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 87825649 to the nearest integer?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 422428 + -189739. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -14*l - 200. Give m(-14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 24829, 42113, 59397, 76681?\n\"Answer: 17284*q + 7545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 152*v - 3055. Give z(20).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11380283 + -5280283. Round f to the nearest 100000.\nAnswer: 6100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 12 = 5*h, 4*h - 30 = -2*k. Suppose -3*p - p = -i - 21, -4*i - k = -p. Solve 3 = -p*q + 4*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*i + m, -6*i + 1408 = -m + 1435 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -63.118 - -0.018. Let w = d - 11.9. Let j = w + 74.92. What is j rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-10\/3)*h**(-2\/41))\/(h**(1\/2)\/(h\/(h*h**(-20)))))**45 assuming h is positive.\nAnswer: h**(59475\/82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**1)\/(w\/(w**(2\/21)\/w)))\/(w**(-1)\/w)**(1\/4)*(w**(2\/9)*w*w*w\/w**(1\/9))**(7\/12) assuming w is positive.\nAnswer: w**(1289\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*((l**38\/l)\/l)\/l)\/l)\/l)\/(l*l\/(l\/(l\/(l*l*l*(l\/l**(-2\/147))\/l)))*l))\/(l**(-28))**(-39) assuming l is positive.\nAnswer: l**(-155524\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -89952 + 58828621\/654. Find the common denominator of 91\/15 and i.\nAnswer: 3270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 6 = 0, -6*y - 4*t = -5*y - 8. Let q = -535\/513 + 17\/19. Let x = -82\/189 - q. What is the biggest value in x, 2, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10308 + 10310. Let s = 23 + -12. Let t = -6 + s. What is the smallest value in 2\/3, w, t?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f + 1. Let p be r(-1). Let j be -5*p*(-2 - -3). Let h(c) = -c**3 + 5*c**2 + 8*c - 8. Let w be h(6). Solve j*d + 14 = 2*a, -d + w = 2*d + 5*a for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l. Let s be m(-2). Let u = 6 - s. Suppose f - 4 = 0, -4*z - u*f + 24 = f. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57950\/(-20862)*(-1 - 3\/(-15))\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8788, -17569, -26350, -35131?\n\"Answer: -8781*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/29)*r)\/(r**(-19)\/r))**(-1\/4) assuming r is positive.\nAnswer: r**(-607\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) + 0 + 2)*3)**2.\nAnswer: 180*sqrt(5) + 1161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0, -5 in increasing order.\nAnswer: -5, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (37\/(-21))\/(40\/(-8)). Let p = h - -1\/21. Let 6\/5*g**3 - p*g - 4\/5*g**2 + 0 = 0. Calculate g.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (49 - 35) + -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and -161?\nAnswer: 161.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 2\/4759?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 113673624*r**3 - 10*r**2 + 12868*r + 152.\nAnswer: 682041744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -11?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p + 34. Let j be l(-16). Suppose 0 = -6*t + j*t. Suppose -30 = -2*o + 7*i - 3*i, t = -4*o + 4*i + 44. Let g(b) = b - 3. Calculate g(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7 + (-45)\/6*-1*1. Let s(i) be the first derivative of 0*i**4 + 3 + 7\/5*i**5 + 0*i + 0*i**3 - d*i**2. Find the second derivative of s(y) wrt y.\nAnswer: 84*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*v - 29*v - 59956 = 0. What is the hundreds digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/23 (b) -13 (c) -76 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2954*d - 1244 wrt d.\nAnswer: -2954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 5*f - 1800000, -5207 = -f - 2*a + 354793. Round f to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + k + 2)*(-1 - 5 + 1) + (-3 + 3 + 2*k)*(3 + 2 - 4))*(3*k + 0*k + 0*k) as n + c*k**2 + o*k and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31670184 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -6*y + 3*y + 2*y. Let c(g) = 5*g - 6*g + 6*g. Determine c(n(p)).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2868 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -543 = -387*x + 534*x + 5043 for x.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6227 = 5*a + 1172. What is the hundreds digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/7 + 74*f\/7 - 264\/7.\nAnswer: -2*(f - 33)*(f - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1259 - -91909\/73. Let w(r) = r**2 - 19*r + 79. Let p be w(4). Suppose 6*m = p*m - 39. Sort g, 5, 0, m.\nAnswer: 0, g, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71864236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*i - i. Let t be -1 + -1 - (-8)\/(-4). Let n = t + i. Solve n = v + 4*w + 17, 4*v = -3*w + 4*w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/1*(-48)\/14 + -4. Calculate the remainder when 156 is divided by ((-7)\/a)\/(2\/424).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 309.2746m?\nAnswer: 309274600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yzz when three letters picked without replacement from yyyzzy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -7*j**3 + 3*j**2 + 2*j. Let y be o(-1). Suppose 0 = l + l - y. Solve l*f = -17 + 1 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7, -4\/11 in increasing order.\nAnswer: -4, -4\/11, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105222 and 15435258?\nAnswer: 8094","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**4\/2 - 491*c**3\/2 + 13859*c**2\/2 - 13369*c\/2 = 0.\nAnswer: 0, 1, 29, 461","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 18 = -y - 3*l, -5*y = -4*l - 210. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1573) + -4)**2.\nAnswer: -110*sqrt(13) + 1598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1498447.102 and 284544?\nAnswer: 1213903.102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18.5 + -20. Let u = -1.1 - l. Let a = -190 - -953\/5. Put a, u, 5 in decreasing order.\nAnswer: 5, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 996560797 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = 5*u - 197. Calculate the greatest common divisor of u and 448.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b**2 + 0*b**2 + 0*b**2)*(-b**2 - 5*b**2 + 8*b**2) + 65*b - 45*b**4 - 65*b to the form t*b**3 + c + p*b**2 + m*b**4 + q*b and give m.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1222 and 13254?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 32 + 10*r - 32. Give g(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z + 206*z**2 - 5*z - 199*z**2 as x*z**2 + i*z + g and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -32*v - 336. Let o be k(-11). Let h(i) = 2*i**3 - 33*i**2 + 17*i - 12. Calculate h(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -12, 10 in descending order.\nAnswer: 10, 8, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8652 and 764.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47510?\nAnswer: 2, 5, 4751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -6. Let p = l + -1. Let j = 63\/20 + -15\/4. Which is the third biggest value? (a) p (b) -1\/4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -330*l + 33. Is b(-4) a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 484*i*w**2 + i*w + 7*i + 2*w**5 + 237*w wrt w.\nAnswer: 968*i + 40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-1) + (-4 - -4)\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -36*n**2 + 117*n + 323. What is v(-3)?\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 6*c + 3*c = 21, 0 = -v + 2*c + 1. Let n = v - -22. What is the remainder when n is divided by 1\/5 + 162\/15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -16*d - 40. Let n be j(6). Does 14 divide n*(-3)\/(-6)*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 6*b - 2*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1131413697 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44300312 (base 5) to base 6.\nAnswer: -12123521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-6\/11))**(-3\/2))**(-6\/7) assuming n is positive.\nAnswer: n**(-54\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 356 and 162544.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d + 9. Let x be c(5). Let r(h) = h + 10. Let a be r(x). Solve -a*s + 0*i - 25 = i, -2*i = -s + 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -140 - -168. What are the prime factors of (3 + (-92)\/u)*-497?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-11020)\/(-725))\/(4\/150). What is the greatest common divisor of 494 and l?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 51*c - 2. Let y be n(6). Let u = -172 + y. Suppose 5*o - u = 548. Calculate the highest common factor of o and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 11:59 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1469.2867 to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + -23. Let f = -22 - -16. What is the closest to -0.1 in 5, f, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, 33, 261, 787, 1731?\nAnswer: 3213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 4:52 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 6*r - 21. Let z = -21 - -42. Let x(c) = -c + 4. Suppose m - 69 = 4*m. Let s = m - -27. What is s*i(j) + z*x(j)?\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 953583298?\nAnswer: 2, 18719, 25471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/((-3)\/(-4)*-2). Suppose 0 = -j*m + 3*m - 16. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d**3 - 5*d**2 - 103*d + 1. Let x(k) = -4*k**3 + 6*k**2 + 103*k + 1. Calculate -6*v(o) - 5*x(o).\nAnswer: 2*o**3 + 103*o - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u**2 + 419*u - 532. Let f be b(-141). Solve 3148*z = 3152*z + f for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of 1\/2*t**3 + 7\/24*t**4 + 0*t + 1\/30*t**5 + 0 + 3*t**2. Is 12 a factor of x(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-6))\/(1\/(-15)). Let w(a) = -4*a + 26. Let n be w(4). Let d = g - n. What is the second biggest value in -0.5, -2\/7, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3241571 (base 9) to base 16.\nAnswer: -1a8c57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 855*f**2 - 452*f**2 - 407*f**2. Let b(w) = 4395*w**2. Determine i(b(x)).\nAnswer: -77264100*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -4*f - 4. Let k(r) = 1 - 3 + 5 - 2 + r. Let h(q) = q + 11. Let t be h(-5). Determine t*k(w) + o(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 224 - -26?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 4*o + 3*o + (-2*o - 4*o + 4*o)*(3 - 4 - 3))*(3 - 3 + 3).\nAnswer: 30*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -1224\/5*f**2 + 4136\/5*f + 58\/5*f**3 + 2\/5*f**4 - 3872\/5 = 0. What is f?\nAnswer: -44, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.03 (b) 0 (c) 5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33220 = 2*z - 315*h + 307*h, -3*h = 5*z - 83096. Does 16 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 - -20 - (-8 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2350 (base 6) in base 16?\nAnswer: -23a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -94.18 - -95. Let a = m - -30.18. Let f = -35 + a. Is f != -0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -5*l + 2*q, 2*l - 3790 = -3*q - 7592 + 3779 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/3)\/(1\/37))\/((-221)\/((-22542)\/(-17))).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 656.57341 - -5\nAnswer: 661.57341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 287732933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1777135*0.2.\nAnswer: -355427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-18512)\/325 - 241\/6025\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25828 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -61*d**4\/12 - 145*d**3\/6 - 107*d**2. What is the first derivative of y(n) wrt n?\nAnswer: -122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c - 1. Let p be o(-4). Let u(s) = 151*s**2 + 138*s**2 - 426*s**2 + 7*s**3 + 136*s**2 + 4 + 3*s. Does 13 divide u(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/67 - -180\/1541. Let s = -142 + 144.52. Let p = s - 2.5. Sort v, p, -3\/4.\nAnswer: -3\/4, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 equal to 662555?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -1668.\nAnswer: -5\/1668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of y**6\/300 - y**5\/75 + y**4\/60 + 7*y**2. Let v(d) = 0. What is d?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*q - 66. Suppose -34 = -v - 15. Calculate the remainder when v is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, o: 6, w: 8, d: 1}. What is prob of picking 1 a, 2 w, and 1 o?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -990 - -990.1. Let h = 10 + -10.03. Let w = -0.03 - h. What is the closest to o in w, -2, 2\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d + 0*d + 2*d - 5*d + 7*d + 0*d + (-d - 2*d + 2*d)*(3 - 1 - 1) - 2 + 2 - 9*d in the form q*d + b and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/2)\/(-1)*(-4 - -5). Solve 4*n + t + 23 = 0, 2*t - 5*t + 1 = -m*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35656 is divided by 11820?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) - -2*sqrt(72))**2*-1.\nAnswer: -648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -983 - -10797\/11. Which is smaller: -2 or r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - 131.\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121, -119, -107, -79, -29, 49?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 363515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3433, -3430, -3427?\n\"Answer: 3*g - 3436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 10010, -0.4, 13 in descending order.\nAnswer: 10010, 13, 2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 147*g - 1921. Give l(13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 4 + 5. Let i = 9 + j. Let t(w) be the first derivative of w**3\/3 - 3*w**2 - 7*w + 1. Calculate t(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -17156, -34286, -51340, -68276, -85052, -101626?\n\"Answer: 7*d**3 - 4*d**2 - 17167*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q - 1 + q**2 - 1 - q + q**3. Let l(n) = 3*n**3 + 4*n**2 + 9*n - 6. Let k(z) = 2*l(z) - 7*x(z). What is k(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 5*p - 4. Suppose h + 2*h - 8 = -4*o, 0 = 5*h. Suppose 0 = -4*f - o*l - 26, -2*l - 20 = 2*f + f. Give y(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 343980 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*j + 74 - 60 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nv when two letters picked without replacement from nnnnnlnnnnvvnvnnn?\nAnswer: 39\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -207 - -251. Suppose 32 = -f*h + 52*h. Solve -p = -q - 3, -q + 7 = 5*p - h*p for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -11953, -2 in decreasing order.\nAnswer: -1, -2, -11953","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y + 33. Let d be m(-6). Suppose 38 = d*j - 5*u, 2*j - 2*u = 3*u + 32. Let s = -6 - -10. Calculate the smallest common multiple of j and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + -7 + 4 + 15. Calculate the greatest common factor of 64 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32770490, -32770486, -32770480, -32770472?\nAnswer: -32770462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.38577 decades to centuries.\nAnswer: 0.838577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in 0.1, -46, -2, -5\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 9 = 2*m, 0 = -4*m - w - 2*w + 47. Suppose m = -0*j + 2*j. Let b(y) = 69*y - 2. Is b(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3*sqrt(75))**2.\nAnswer: -2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3092\/17 - 182. Sort v, -2, 0 in descending order.\nAnswer: 0, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2*b)*(1 - 4 + 4) + 10*b + 3*b + 11*b + (4 - 1 - 2)*(-2*b + 0 + 0) to x + u*b and give u.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2246 - -2266. Solve z = -j + 22 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 13*p + 8. Calculate the remainder when y(-7) is divided by ((-7)\/3)\/((-5)\/60).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62\/279*9\/(-8).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -0.04358, 5, -2\/11, 0.08 in descending order.\nAnswer: 5, 0.08, -0.04358, -2\/11, -9","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 159, -1104, -4553, -11280, -22377, -38936?\n\"Answer: -182*f**3 - f**2 + 14*f + 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**4 + 20325*c**3 + 27838500*c**2 + 13242550000*c + 541373400000.\nAnswer: 5*(c + 45)*(c + 1340)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u + 5. Let r = 4 + -6. Let q(n) = n + 5. Let m(c) = r*h(c) + 3*q(c). What is m(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 - (-13 - -36 - (-9 - -17))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from avaaaav.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u\/(u**(1\/9)*u))\/u*u\/(u**(-4)\/u))**(-8\/3)\/(u**1*u*u**2*u**(-1\/4)*u*u\/(u**(-9)\/u)) assuming u is positive.\nAnswer: u**(-3397\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1026945 and 0.2?\nAnswer: -0.0205389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*v**3 - 16*v**3 - 15*v**3 + 9*v**3.\nAnswer: -33*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 7*l**2 - l + 7. Let b be o(7). Suppose 3*p - 1 = 2*r - r, -2 = -2*r + 2*p. Let f(m) = 4*m - 2. Let i be f(r). Solve -i = 2*y - b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = g - 3 + 2, 0 = -6*b + 11*b for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 17*c**2 - c + 19. Let n be m(17). Put n, 0.6, 0.1, -2\/3 in increasing order.\nAnswer: -2\/3, 0.1, 0.6, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23328 divided by -36\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 49*c - 84. Suppose 0 = -3*q - 2*k + 71, -q + 23 = -2*k + 3*k. Is g(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**5*x*x)\/x*x**(-7\/5))\/(x*x**(-1))**(-4\/9)*(x*x\/x**(-4))\/x**(-1\/2)*x\/(x*(x**(-2\/9)\/x)\/x)*(x*x**(-1)*x)\/x assuming x is positive.\nAnswer: x**(1199\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/4 - (-304)\/64. Suppose -x*p + 360 = 5*m + 5, 5*m = 2*p + 320. List the prime factors of m.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/3*14)\/(-46)*2126\/(-7441)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h**5 + 1881*h**4*i - 1580*h**3 + h**2*i - 42153878*i wrt h.\nAnswer: 120*h**2 + 45144*h*i - 9480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41\/30 + -16\/15. Let h = 12 - 16. Let o = 0 + h. What is the third biggest value in -0.3, o, u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 976, 0 in decreasing order.\nAnswer: 976, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 38*g**3 + 2*g**2 + g + 20. Let t be i(4). Suppose 14824 = 12*n + t. What is the hundreds digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7, -5, -0.6, -0.2, -2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -33*y + 2 - 2 + 41*y. Let u(c) = -76*c**2. Give t(u(j)).\nAnswer: -608*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 + 1242?\nAnswer: 1255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -43*m**2 - 3*m + 1. Let z be g(1). Let u be ((-2)\/(-6))\/((-5)\/z). Let y(i) = i**2 - 4. Calculate y(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29.14 + -27.24. Which is the second biggest value? (a) 1 (b) z (c) 3\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63786604?\nAnswer: 2, 7, 2278093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1804 - x + 1804 + 16*x**2)*(-22 + 21*x**2 + 22).\nAnswer: 336*x**4 - 21*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -3*g**2\/4 - 327249*g\/2 - 654495\/4 = 0.\nAnswer: -218165, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5901 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 282 (b) -4 (c) 1\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 19 = -4*a + 16, q + 6 = 3*a. What is the second derivative of -67*g**q - 2 - 39*g**3 + 17*g**3 - 74*g + 1 - 11*g**3 wrt g?\nAnswer: -600*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -7*r**6\/6 - 13*r**3\/2 - 17*r. Find the second derivative of w(l) wrt l.\nAnswer: -420*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159054 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.329 in -3, -5, -0.2, -15, -0.687?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 66 + -63. Let m(x) = x**2 - 3*x + 2. What is m(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 6) + 15 + -21 - 9.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.116 * -0.9.\nAnswer: -0.1044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -2*h**3 + 82*h**2 + 7*h + 11. Let n be d(14). Let o = -2\/331 + -985\/1324. Put o, 6, n in increasing order.\nAnswer: n, o, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q\/(q**(7\/4)*q*q))\/q*q)\/q)\/q**5 assuming q is positive.\nAnswer: q**(-31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -10*y**2 - 23*y + 3. Let c(s) = 22*s**2 + 50*s - 6. Calculate -6*c(n) - 13*v(n).\nAnswer: -2*n**2 - n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 14 = -4*n + 26, 0 = 7200*n - 7195*n + 4*z + 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 - 4)*(-3*f + 3*f + f).\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -j**2*q**2 - 2*j**2 - 18*j*q**2 - 198*j wrt q?\nAnswer: -2*j**2*q - 36*j*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -5. Let a = -4.5 - -0.5. Let j = 5.735 + -0.735. What is the biggest value in m, a, j, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3384 and 9414?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 5) in base 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 6*y + 5*b + 719, 474 = -2*y + 2*b. Let t be y\/(-8) - (-54)\/(-72). What is the highest common factor of 87 and t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*f - 3*p, 4*f + p + 0 + 2 = 0. Let c(r) = -r**2 - 20*r - 80. Let d = 184 + -190. Let l be c(d). Solve f = 2*s - l*s + 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2070 and 429120.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2530, 0, -4, 5, 6 in ascending order.\nAnswer: -4, 0, 5, 6, 2530","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/13000 and 59\/446654.\nAnswer: 223327000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-18)*-3*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -0.5, -3, -0.023?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12285595 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-10) - (-54)\/15. Suppose -215337 = 3*n + 4*b + 270683, 0 = -x*b - 20. 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: Calculate the greatest common divisor of 2235528 and 3192984.\nAnswer: 4392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2546*f**2 + 45*f + 31. What are the prime factors of j(4)?\nAnswer: 3, 13649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33946\/9 - -3772. Factor -4\/9*a**2 - 2\/3*a + 4\/9*a**3 + 2\/9*a**5 + 2\/3*a**4 - x.\nAnswer: 2*(a - 1)*(a + 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 1500193.\nAnswer: -9\/1500193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 757686758 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -2*i + 6*i + 42, 5*i = 4*g - 72. What is the common denominator of i and (15\/(-20)*2)\/((-15)\/(-23))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8728547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.03 (b) -0.098 (c) -1\/13 (d) -3\/2 (e) -3 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 17*i**2 - 174*i - 56. Is f(15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33724285?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1513845938 to the nearest 100000.\nAnswer: 1513800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((5 - -4) + -8)*(1 - -12). Let o be (0 + -2)*(v + -12). Which is the fourth smallest value? (a) o (b) -1\/2 (c) 1\/11 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = 7*w - 59*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 6*(sqrt(80) - (sqrt(80) + 3 - sqrt(80))) + -4 + sqrt(5) + sqrt(35)\/sqrt(7) + (sqrt(60)\/sqrt(12)*-5)**2.\nAnswer: 26*sqrt(5) + 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 45 = 2*o. Let w be (6\/o)\/((-4)\/(-30)). Suppose -136 = -4*x - 4*s, 2*x - 42 = -w*s + 11. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*b + 85*b = 10. Solve 0 = -7*m + b*m + 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13035 divided by 55?\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 17*o**2 - 29*o + 403. Calculate y(-25).\nAnswer: -3872","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 u when two letters picked without replacement from {o: 1, n: 3, y: 1, e: 1, u: 2, p: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7}. Give prob of sequence eee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/(-8)*99\/(-50) and -9\/118?\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(1\/1)*(-36)\/(-45)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + b**2 + 0*b)*(5*b + 5*b - 4*b) - 3*b**3 + 2*b**3 + 0*b**3 + b**2 - b**2 - 3*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -933*o**4\/7 + 223935*o**3\/7 + 461967*o**2\/7 - 3394275*o\/7 + 54450\/7 = 0.\nAnswer: -5, 5\/311, 3, 242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/36180216 and -101\/192961152.\nAnswer: 578883456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 259273277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 11 = -0*f + 3*r, 5*r = 4*f - 1. Suppose -q - f*q + 4*m = 1014, 4*q + 4*m = -840. Round q to the nearest ten.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 times 234941?\nAnswer: -17150693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.48 - 6.88. Let u = p + 6.1. Let o = -70\/3 + 1616\/69. Which is the nearest to 0.06? (a) -0.2 (b) u (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2 + 21225. Let d(w) = 3*w**2. Calculate k(d(x)).\nAnswer: 18*x**4 + 21225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 + 2011221210210112?\nAnswer: 2011221210210220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -383 (b) 18 (c) 5 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 783 is divided by 131?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3 - 2 + 3 + 3. Let q(s) = 5*s + 6. Let g(i) = -f(i) + q(i). Differentiate g(b) with respect to b.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-11\/3)*m**4\/m assuming m is positive.\nAnswer: m**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (966\/105)\/((-4)\/(-10)). Let v = r - 13. Let x(h) = h**3 - 46*h**2 - 45*h - 66. What is the remainder when x(47) is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o = -30060*p + 30059*p + 46, 0 = -5*o + 2*p - 127 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.38 minus -1.0104792?\nAnswer: -0.3695208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*x**3 - 24*x**3 - 19*x**3)*(14 - 12*x - 6*x + 15*x).\nAnswer: 18*x**4 - 84*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 6*y + 50. Let c = -7766 + 7746. Determine n(c).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(6050)*-1*2)\/(((sqrt(70)*-4 - sqrt(70)) + sqrt(70))\/sqrt(7) + 2*sqrt(1440)).\nAnswer: 33*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1\/6))\/k*k)**(2\/15)\/(k*k*k**(2\/11)*k*k)**(-2\/23) assuming k is positive.\nAnswer: k**(47\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.152 - 1.708. Let r = 1.45 + d. Let g = 9.59 - r. What is the nearest to 0.1 in 1\/2, g, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from nonnnnonnon.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {m: 3, d: 1, q: 4, b: 2, l: 3, k: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -34*y**2 - 2*y - 13. Let f(b) = 19*b**2 + b + 6. Determine -9*f(l) - 4*g(l).\nAnswer: -35*l**2 - l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 243360, 484887, 726410, 967929, 1209444, 1450955, 1692462?\nAnswer: 1933965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 7*a - 7. What is the remainder when 14 is divided by y(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 148.233 to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4544190*m**5 - 487*m - 2524?\nAnswer: 90883800*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q**2 - 2*q**2 - 8 - 7*q + 9*q + 5*q. Let s be j(-8). Suppose 2\/7*y + s + 2\/7*y**2 = 0. Calculate y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 9, z: 9}. Give prob of picking 1 o and 2 z.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -10.97. Let o = -0.17 + j. Which is the second smallest value? (a) -0.1 (b) o (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/24 - 21\/(-18). Let h = w + -4. Let p(r) = -r**3 - r**2 + 5*r + 3. What is p(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - (-2)\/(0 + 2). Let q = 179.8 + -179.87. Which is the nearest to 0? (a) q (b) 1\/3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 162 and 9252?\nAnswer: 83268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/49210 and 83\/76.\nAnswer: 98420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 7 + 21 = 0. Let t(v) = 5*v - 33. Let f be t(s). Solve l - 3 + f = 0, -4*l - 6 = 2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 1\/5, 2\/3, -210?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -1561*z + 2. Is s(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4186 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*l - 14*l + 246*l - 165*l.\nAnswer: 48*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d + 9. Let m be y(-4). Suppose m*s = -7 - 13. Let a be -2*(-1)\/s*-34. Calculate the greatest common factor of a and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 38\/(-12) - (-4 + (-23)\/(-6)). Let m be -1 - (c - -7)*6\/(-8). Suppose 20 = 2*f + 4. Solve m*o + f = -2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*i**2 + 391*i - 125*i**3 - 391*i - 296*i**2 wrt i.\nAnswer: -750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 3) + (-16 - -20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 269 + -443. Let z = k - -85. Let t = z + 135. Is 23 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2486222.\nAnswer: 2, 1243111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/20)\/(-4)*(-16)\/4.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u + 84 = -36*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -534705, -534708, -534711, -534714?\n\"Answer: -3*c - 534702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26031, 34217, 42403, 50589, 58775?\nAnswer: 66961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b + 348 - 15*b + 30*b.\nAnswer: 8*b + 348","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -10, 4 in decreasing order.\nAnswer: 4, 2, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 + 0.2. Suppose 4*h = 2*h + 6. Let z be (h\/(-1) - -2)*-1. Which is the nearest to k? (a) 3 (b) z (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 - 42 - 3*r - 34.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 11*x - 247. Let u be j(42). Let w be u + (8 + -7)*-7. Calculate the highest common divisor of 24 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 752a0 + 4a?\nAnswer: 7533a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 2118?\nAnswer: 4236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 111?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 66161 a multiple of 313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*(30\/560)\/(-1*30\/(-80)).\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 1 - a**3 + 3*a**3 - 2*a + 3*a**2 - 2*a. Let x(u) = -2*u**3 - 2*u**2 + 3*u - 1. Let o(s) = 3*s - 95. Let f be o(31). Calculate f*m(r) - 3*x(r).\nAnswer: 2*r**3 - r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*q - 3*t - 9 = 0, 5*t = -25. Let d(s) = 2*s + q*s - 4*s + 2*s + 1. Suppose 2*p + 4*m = -14, -p - 3 = -2*m - 0. Calculate d(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12966 rounded to the nearest one hundred?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3 + 390*z**2 - 13056*z + 24576.\nAnswer: -3*(z - 64)**2*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 + 1132311102?\nAnswer: 1132311022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -6*w + 6*w**2 - 8 - 2*w - 5*w**2 - w. Let p be s(10). Factor q + 12*q**3 - 15*q**3 + p*q + 3*q**2 - 3*q**4.\nAnswer: -3*q*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*o + 4*o + 46*o)*(5 + 0 - 1).\nAnswer: 164*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35218240 to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express t - 34*t**2 + 7*t**4 - 34*t**2 + t**3 + 59*t**2 as y*t**4 + v + c*t**2 + j*t + n*t**3 and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -2*q + 526, 0 = 3*q - 2*c + 240 - 1030. Let o = 409 - q. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y + 0 + 4 - 2. Let a(g) be the second derivative of 1\/6*g**3 + 1\/2*g**2 + 17*g - 1. What is 5*a(c) - 3*l(c)?\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/4*q**4 + 0 + 0*q + 1\/4*q**3 + 1\/4*q**2 - 1\/4*q**5 = 0. Calculate q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*b**2 + 20*b**2 + 13*b**2 - 3*b**2 + 6*b**2 - 2*b**2 + (-2 + b + 2)*(-b - 3*b + 2*b) + b**2 - b**2 - 2*b**2 in the form m + t*b + a*b**2 and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.518 - 0.018. Let v = o - 11. Which is the closest to -1\/5? (a) 3 (b) 4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.62? (a) 2 (b) 3 (c) -0.05 (d) 3658 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhyt when four letters picked without replacement from {i: 7, h: 6, y: 1, t: 1}.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 989 (base 16) to base 6.\nAnswer: 15145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1925, 1850, 1775, 1700, 1625, 1550?\nAnswer: 1475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((5 + 3 + sqrt(99)*2 + -2)*4)**2.\nAnswer: 1152*sqrt(11) + 6910","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 13 = -r - 5*y, 11 = r - 5*y. What is the units digit of 382*(1 - (-2)\/r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1097210 rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 54*z**2 - 789*z + 5*z**3 - 1 + 2 + 791*z - 1 in the form b*z**3 + u + p*z**2 + i*z and give p.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r*r**3*r\/(r*r\/((r*r**5)\/r)*r)*(r\/((r\/((r*((r**(2\/23)*r)\/r*r)\/r)\/r))\/r)*r)\/(r\/((r*r**(-2\/7))\/r)) assuming r is positive.\nAnswer: r**(1417\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -7*d - 12. What is j(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3462? (a) 0.8 (b) 145 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 f, 1 q, and 1 d when four letters picked without replacement from qgdffddqgdf?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 8646*z - 34570. Give q(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/24*(6\/1)\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2605.9 < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1319\/9 or -147?\nAnswer: -147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 10*g**2 + 2*g - 3. Suppose 0 = -3*y - y - 12. Let q be (5\/y)\/((-2)\/12). List the prime factors of w(q).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f**2\/5 - 88664*f\/5 + 177312\/5 = 0. Calculate f.\nAnswer: 2, 22164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -17*c - 71. List the prime factors of p(-16).\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwk when three letters picked without replacement from {k: 7, w: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c**2 + 34*c. Let a(h) = h**2 - h. Give -6*a(i) - b(i).\nAnswer: -2*i**2 - 28*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -11\/2, 0.1, -7 in increasing order.\nAnswer: -7, -11\/2, -5, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 20 = -4*b. Let p be (-2)\/3 + 125\/3. Suppose 4*h - p = b. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22696380 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 11*v - 19. Let x be h(13). Let g be 447\/21 - 2\/x. Let y be ((-1)\/(-1))\/(1\/g). Calculate the greatest common divisor of y and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -68 + 71. Solve -f + z*p + 8 = 0, p - 3 + 8 = -2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -198*w**2 - 3117*w + 3906.\nAnswer: -3*(6*w - 7)*(11*w + 186)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -131 and 1038426752.\nAnswer: 1038426621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201 - -1010222220?\nAnswer: 1011000121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -38339862?\nAnswer: 2\/19169931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8986*d**4 - 850218?\nAnswer: -35944*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2513 (base 10) in base 3?\nAnswer: -10110002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 770837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 304 in 1\/4, 5.37, -0.24?\nAnswer: 5.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 102.39 - 103. Let h = u - -0.61. Let x be (0 - -2) + 2\/(-4). What is the nearest to -0.1 in h, x, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 4*t - 33 + 5 = 0, 0 = -3*n - t + 7 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1826\/5, 1\/6, 0, -1\/3, 4, 83 in descending order.\nAnswer: 83, 4, 1\/6, 0, -1\/3, -1826\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -259, -371, -483?\nAnswer: -595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -413 - -12?\nAnswer: -401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 122313 and 501.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65626?\nAnswer: 2, 11, 19, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1277\/3 or -6.66?\nAnswer: -6.66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*v - 2*v - 11. Let x(m) = 12*m - 1. Determine x(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 13, 0, 29, -23, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 39*b + 3. Let z be n(3). Let j = z + -118. Suppose 3*r - g = 501 + 41, -2*r + j*g = -364. What is the remainder when r is divided by 46?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -52 + 57. Suppose r*o - 18 + 8 = 0. Solve 0 = -2*i - 3*m + 16, o*i - m = 4*i - 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -1488412?\nAnswer: -1488414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 399289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 244*f**2 + 715*f - 1942. Calculate r(-241).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r + 1. Let q(m) = -m - 1. Calculate 5*q(n) + w(n).\nAnswer: -n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of k**4 - 1208*k**3 - 124*k**2 + k - 13185092?\nAnswer: 4*k**3 - 3624*k**2 - 248*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40589 + 40592. Let d(m) be the first derivative of -1\/2*m**2 - 9 - c*m. What is d(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160991292 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9\/20 - 1\/5. What is the fourth biggest value in 2\/7, u, 0.01, 1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from yiyqyvyi?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-5 + 7 - -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/(35 - (-4 + 3)) and 16\/(-3168)*-11 + (-1 - -3 - 2).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in -10\/7, -0.2, 0.074, -2?\nAnswer: 0.074","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - 12*19\/76*-4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 26 = -3*u, 3*v = -4*u + v + 18. Let t = -122 - -143. Let n be (1\/14)\/(t\/(-84))*-6. Which is greater: u or n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 26, 87, 206, 401, 690, 1091, 1622?\nAnswer: 2301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bwhbbbydbhcdc. What is prob of picking 1 d and 1 y?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**3\/5 - 51*x**2\/5 - 3816*x + 701568\/5 = 0. What is x?\nAnswer: -87, 48, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 738\/(-861)*28\/3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of x**4 - 90*x**3 + 169*x**2 wrt x?\nAnswer: 24*x - 540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (-116)\/145 + (-2)\/(-30)*3327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 7:33 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 493, 2\/27, 0.2, -0.1 in decreasing order.\nAnswer: 493, 0.2, 2\/27, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u - 1174609468800749 + 1174609468800749.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 6*y = 5252. Let g = -365 + y. Calculate the highest common divisor of 6 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r*r**(9\/4)*r*r)\/r))\/r*r*r**(-3\/2))**(-8) assuming r is positive.\nAnswer: r**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f - 43f?\nAnswer: -45e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-45)\/(-6)*4\/5. Let u be 5\/(9\/l - 1). List the prime factors of (12\/u)\/(6\/45).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -216 + 387. List the prime factors of q.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -14\/433 (b) 5.15 (c) -1\/4 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 242 and 4532.\nAnswer: 49852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 2*g - 5*g)*(-3 + 3 + 3) - 3*g + g + 3*g.\nAnswer: -17*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 7*w**2 - 2*w + 1. Suppose 3*z + 3 = 6. What is the units digit of b(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 6:08 PM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -43*n**2 - 365*n + 17. Let r(w) = -12*w**2 - 122*w + 6. Determine -7*r(q) + 2*z(q).\nAnswer: -2*q**2 + 124*q - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + 4.5?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -26*4\/(-312) + (5\/(-50))\/((-162)\/(-525))?\nAnswer: 1\/108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -95 - -107. Let b(m) be the first derivative of 33 + h*m**2 + 27*m - 28 + 30 - 3*m**3 + 27*m**2. Determine c, given that b(c) = 0.\nAnswer: -1\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-58)\/(-2)*7\/1. Let g = s + -2641\/13. Let h = 6 + -6. What is the biggest value in -2, h, g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + l**2 + 5. Let c be f(0). Suppose 3*w + c*w = 16. What is the remainder when (-2)\/(-6) + (-66)\/(-18) is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -8*p**2 + 61*p - 93. Let u(w) = 2*w**2 - 15*w + 23. Let h(x) = 2*q(x) + 9*u(x). Differentiate h(f) with respect to f.\nAnswer: 4*f - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*m - m. Is 12 a factor of ((-7)\/m)\/((-9)\/(-135))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5377 at most -5379?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of 3*b**5\/20 + 3*b**4 + 29*b**3\/2 + 27*b**2 + 154*b. Let y(s) = 0. Calculate s.\nAnswer: -9, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23072 = -2568*u + 2980*u for u.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppd when four letters picked without replacement from ddppddddpd?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**13\/t*(t*t**(1\/6))\/t*t**(12\/13)*((t\/t**(-5))\/t)\/t)**(-17\/4) assuming t is positive.\nAnswer: t**(-23987\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53441 is divided by 51.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -7. Suppose s*l - 8 = 10. What is the remainder when 23 is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/3077 and 4\/1991?\nAnswer: 33847","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-11))**23\/(a*a**(-20\/3)*a*a)**(2\/3) assuming a is positive.\nAnswer: a**(-2255\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 1:38 AM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(2*sqrt(99) - sqrt(99)) + sqrt(99))\/(sqrt(63)\/(sqrt(7)*2 - sqrt(7))) + 3.\nAnswer: 3 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oeeo when four letters picked without replacement from {e: 8, o: 5}.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7510, -7260, -7004, -6742, -6474, -6200?\n\"Answer: 3*k**2 + 241*k - 7754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 5*m**3 - 9200*m**2 - 11886895*m + 23810550 = 0.\nAnswer: -877, 2, 2715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*((-30)\/(-8) + 3). Let g be (7*-1)\/(1\/2). Let o = i + g. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 4215999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222538 is divided by 138.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) -2\/13 (c) -1\/2 (d) -12 (e) -1\/3 (f) 2\/17 (g) 15.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 3*w + 12 = 0, -6*n - 772*w + 385*w - 20 = -2*n - 381*w for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-84)*(-189)\/(-1350))\/(5\/20)\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -416493 - m**3 + 416493.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 712 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -133028393.9 to the nearest ten thousand.\nAnswer: -133030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320*c = r + 321*c - 12130, -3*r + 36386 = 2*c. What is the highest common divisor of 516 and r?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 167.\nAnswer: -166.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 205.759249 rounded to two decimal places?\nAnswer: 205.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 136 = 156. What is the second derivative of -t - 6*t**4 + 7*t - w + 125*t**2 - 124*t**2 wrt t?\nAnswer: -72*t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1618, 1836, 2208, 2740, 3438?\n\"Answer: r**3 + 71*r**2 - 2*r + 1548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4401.\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 188 = 2*z - 250, -2*t + 0*z - 5*z - 1 = 0 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 281*r**6*u**2 + 5*r**3*u**2 + 362*r**2*u + 2*u**2 wrt r?\nAnswer: 33720*r**3*u**2 + 30*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46461263 is divided by 43?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 11*b - 1. Let f(i) = -5*i + 1. Give 9*f(n) + 4*y(n).\nAnswer: -n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1326, -1323, -1320, -1317?\nAnswer: -1314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*k**5 + 69788677*k**4 - 557943540*k**2 wrt k.\nAnswer: -240*k**2 + 1674928248*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 79*t + 3876. What is the lowest common multiple of 1010 and w(-35)?\nAnswer: 11110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 y, and 1 p when four letters picked without replacement from {q: 3, p: 4, y: 5}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 3 (b) 0.1 (c) 1\/16 (d) -2\/21 (e) 457 (f) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 176 and 253.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 36441.\nAnswer: -36440.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -382 or -1917\/5?\nAnswer: -1917\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*m + 5*u, 4*m - 4*u = 5*m - 29. Let f(t) = -13*t**3 + 4*t + 3. Let z be f(-2). What is the greatest common divisor of z and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -8 - (1 + (-4 - -4 - -1))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.24, 2\/3, 0, -2, -79\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1220 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -11*y**6\/15 - y**5\/30 - y**4\/12 - y**3\/6 + 6273*y**2. Determine d(-1).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44.4 + -41. Let o = 10434931.3999987 - 10434928. Let j = q - o. Round j to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 7*h**2 + h + 9. Let l be p(-7). Suppose -l*o + 0*o = -4*w + 2, 2*w + o = 11. Which is bigger: 0.7 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3669 + -2394. Is h a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 + 4. Let a = t + -3. What are the prime factors of ((-3)\/12 + -1)*a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 9594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 + -29. Suppose -k*w + 15 = -5*d, 4*w - 25 - 19 = -4*d. Solve -w = 4*p - 3*v - 2, 0 = 2*v + 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 divided by 4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.95 - -0.05. Let n = 156.8 + -7.8. Let w = n + -149. What is the closest to w in 0.2, -0.4, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 0, 1493 in ascending order.\nAnswer: -10, 0, 1493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -82, -279, -658, -1279, -2202?\nAnswer: -3487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34 - 3*x + x + 4*x - 4 to b*x + j and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 8 = 2*p, 39 - 28 = -g - 4*p for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 5*l - 59257 + 59342 = 4*l, -5*m + 17*l + 284 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125089910.\nAnswer: 2, 5, 11, 17, 151, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 10. Let p(j) = -6*j + 6*j + 9 - 8 - j**3. Calculate p(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/8? (a) -1\/20 (b) 7 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4))\/((-120)\/(-70)*(-84)\/9)?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -14 + -1 - ((7 - 26) + (-4 - -8))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 61, 10, -1, 2, 4 in ascending order.\nAnswer: -4, -1, 2, 4, 10, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21.4486 and -4?\nAnswer: -85.7944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2876*z**2 - 2870*z**2 + 8625*z**2 - 2876*z**2 + 5244 to the form r + q*z + h*z**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*d + 46 = 0, -c + 34 = d - 4*d. Let q = 88 - 92. Let o = c + q. Calculate the highest common divisor of o and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 9 - 4)*(13*a + 9*a - 9*a)*(a - a + 2*a**2) to f*a**2 + b + j*a + r*a**3 and give r.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4197, 8, -15\/578?\nAnswer: -0.4197","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 + 3)*(-15*j**2 - 14*j**2 + j**2) to the form h*j + p + x*j**2 and give x.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1778269231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + -21 + (52 - 34 - -29)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 0, -11, -1 in increasing order.\nAnswer: -11, -10, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*o**2 - 10*o**2 + 1 - 6*o - 3*o + 5.\nAnswer: 3*(o - 2)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 7. Let b be 8 - (3 + s + 0). Suppose 0 = -8*l + b*l + 99. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.8 + -2. Let d be 6\/10 + (-73)\/(-20). Let o = d + -47\/12. Which is the biggest value? (a) s (b) o (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/9*v**3 + 4\/9*v**4 - 2\/9*v**5 - 16\/9*v**2 + 0 + 0*v.\nAnswer: -2*v**2*(v - 2)**2*(v + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 557258?\nAnswer: 2, 13, 21433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1050.65 * 0.1\nAnswer: 105.065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 124 + -93. Calculate the highest common divisor of 341 and h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 11 = 3*r, 11*r - b = 6*r + 23 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 513635, -1\/7, -0.5.\nAnswer: -0.5, -1\/7, 513635","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -5110393076 to the nearest 1000000.\nAnswer: -5110000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000995 rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 6*d = -25. Let n = 4 + d. Let p(s) = s - 2. Let h(x) = -2*x + 1. Let k(m) = 2*h(m) + p(m). Give k(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71b (base 12) to base 2.\nAnswer: 10000000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 3*v**2\/2 - 211926*v + 7485438246 = 0.\nAnswer: 70642","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28791.\nAnswer: 3, 7, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11966 - 7176. Round h to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -61 or -66?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20\/2 + 4\/2. Let u = -56 - -38. Let x be (u\/(-15)*(-5)\/(-2))\/1. Solve h + 14 = -2*m, 0 = x*h + 2*m + 34 - j for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 12*w**2 - 14*w + 3. List the prime factors of l(-11).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = r, 0*o = 5*o - r - 23 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5740657, -11481435, -17222441, -22963789, -28705593, -34447967, -40191025, -45934881?\nAnswer: -51679649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (1 - 2 - 11). Let u(z) = z**3 - 7*z**2 + 6*z - 7. Let p be u(6). Let c = p + a. 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: What is the value of -12 + (-21 - (-23 - 33) - -20)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000004059 rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 58 and 55 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/6 - (-2154)\/18. Let z = -62 + a. Suppose 5*p = z + 67. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -54 + 24254?\nAnswer: 24200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**3\/3 - 458828*q**2 + 11471086*q - 63320564\/3 = 0.\nAnswer: -688267, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 4*o + 25 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 8*p - 3*a - 501200, -3*p + 4*a = -375900. Round p to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -4, 4 in descending order.\nAnswer: 4, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-178)\/8 - (-3)\/12. Let a = -1 - m. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11523 (base 6) in base 5?\nAnswer: -23312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -82.73 + 82.25043. Let m = -9 + 9.48. Let f = m + k. Round f to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88939 is divided by 88657?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 4:28 PM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4263661 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.07 - 1. Let v = t - -0.03. Let s = -0.1 + v. Which is the nearest to s? (a) -5 (b) 0.2 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*m**3 + 0 - 27\/2*m + 3\/2*m**4 - 27\/2*m**2.\nAnswer: 3*m*(m - 3)*(m + 1)*(m + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u**2 + 4*u**2 + 111*u**4 + (0 + 0 - 3*u)*(14*u**3 - 16*u**3 - 11*u**3) to s*u**2 + j*u + r*u**4 + n + o*u**3 and give r.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 12*b - 59. Let m be z(5). Let a(k) = 7*k - 5. Let s(r) = -3*r + 2. Let q(o) = 2*a(o) + 5*s(o). Let p(d) = 4*d + 1. Determine m*p(y) + 5*q(y).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 162343 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 12:12 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 5*s**2 + 4*s + 1. What is g(-5)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -3*i + 26, i - f + 3*f = -8. Find the third derivative of 7*c**2 + 13*c**2 - 43*c**i - 83*c**3 wrt c.\nAnswer: -498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 71.6 + -47. Let k = j + -24.5999841. Round k to six dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 4. Suppose -266 - 10 = 12*t. Let y(x) = -x**2 - 23*x + 3. Let z be y(t). Solve 0*h + c*o = z*h + 16, -16 = -4*h - 4*o for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7 + 8 + -4*(-40)\/(-32) + 2301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89 = 17*b + 36 - 49 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -404\/1365 + 2\/195. What is the common denominator of n and (-18)\/5 - (0 - -1)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/3 and 23\/11600.\nAnswer: 34800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1274\/10 - 2460\/1025. Calculate the greatest common divisor of 5500 and k.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-30))\/(-4*(-11)\/110)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -255 + 273. Solve 2*g - 3 = 3*n + 1, -n + 4*g - p = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + (-2)\/4*6 + 1. Let h be (d - (-1 - 2))\/1. Let y be 0\/(4\/(-24)*h*-2). Solve 3 = -y*p + p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 3 = -13*l. Let o = -70 + 55. Let m be 3*-1*(55\/o - -3). Put 5, 4, l, m in descending order.\nAnswer: 5, 4, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.29 times 894?\nAnswer: 259.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d - d + 3*d in the form a + v*d and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2.6*2441517\nAnswer: -6347944.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n**5 + 16925*n**4 - 6353245*n**3 - 16925*n**2 + 6353250*n = 0.\nAnswer: -1, 0, 1, 430, 2955","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a microgram in nanograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 565, 578, 591, 604?\nAnswer: 617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lal when three letters picked without replacement from flylfpypypalklfflkl?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2652607376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 + 3*k - 12 + (3*k + 0*k - 4*k)*(-3 + 3 - 1) - 7*k + 2*k + 2*k to the form q*k + z and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 196 - -8?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15244678 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**5 + b**5 - 4*b**5)*(100 + 79 - 30).\nAnswer: 149*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25 + 28 - 9 - 4*z**4 + (z**2 + z**2 + 0*z**2)*(-5*z**2 + 4*z**2 - 2*z**2).\nAnswer: -10*z**4 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**4 + 128*j**3 + 75*j wrt j?\nAnswer: 12*j**2 + 768*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -m + 2. Calculate the greatest common factor of m and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -11. Let c(w) = -w**2 + 7*w - 1. Let h be c(d). Factor 0*a - 3*a**2 - 4*a**3 + 0*a + h*a**2 + 2*a**4.\nAnswer: 2*a**2*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1300) + 1)*1.\nAnswer: -10*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -38, -83, -156, -263, -410, -603, -848?\nAnswer: -1151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 + -19. Let m = j + -5. Calculate the remainder when 11 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 m when four letters picked without replacement from {m: 9, r: 7}.\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(475)*-2*-3 + -1 - ((5*(0 + sqrt(475)) - sqrt(475) - sqrt(475)) + (sqrt(475) - (-5 + sqrt(475)*-1)))*6)**2.\nAnswer: 8160*sqrt(19) + 274756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 + -43. Suppose 2*i - 4 = -3*b, 5*i + b - o = i. Is (410\/8)\/(i\/8) a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34843411.82 rounded to the nearest ten thousand?\nAnswer: 34840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000177027509 rounded to seven dps?\nAnswer: -0.0000177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -74 + 3?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65780 = 11*y + 2*y. Suppose -3*j + 25*j = y. Calculate the highest common divisor of 20 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**3 - 2*u**2 + 4*u - 66. Let t(o) = -2*o**3 + o**2 + o + 2. What is -g(f) - 2*t(f)?\nAnswer: 2*f**3 - 6*f + 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + 6. What are the prime factors of 4\/(-3)*(-165)\/l?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32 - (-5)\/((-15)\/(-9)). Let g be (-10)\/25 + 104\/10. Let c = g + -5. What is the greatest common divisor of c and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/8, 0, -2\/219171?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81836?\nAnswer: 2, 41, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mrjrxrjjrxzzm. Give prob of picking 1 r, 1 x, and 1 j.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 391*x - 53506. Calculate m(137).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195081289?\nAnswer: 13, 29, 517457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b - 18. Let v be u(-12). Let r(x) = -801*x - 6. Let h be r(v). What is h rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1769b915 - -5?\nAnswer: -1769b910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 8:34 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 2*f + 0*f)*((2*f - 5 + 5)*(4*f - 2*f + 0*f) + f**2 + 3*f**2 + 2*f**2) - f**3 - 3*f**3 + 2*f**3.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xnz when three letters picked without replacement from snxzpdnnppnp?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8000*h = 397*h + 780921 for h.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = r + 26. Let c(i) = -10*i**2 + 10*i - 13. Let n(a) = -7*a**2 + 7*a - 9. Determine r*n(b) - 5*c(b).\nAnswer: b**2 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 104478091 - 20262714. Let f = 84215351.9999963 - w. Let g = f - -25. Round g to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3085, 3072, 3051, 3016, 2961, 2880, 2767?\nAnswer: 2616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + m - m)*(-3*m + 4 - 4) - 24 + 24 + 20*m**2.\nAnswer: 26*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(42\/35))\/(-1)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 50895, 65312, 79729, 94146, 108563?\n\"Answer: 14417*i + 36478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -432 + 634. What is the smallest common multiple of 7 and t?\nAnswer: 1414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxggxxxxggxxxxx. Give prob of sequence ggg.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 0 - (14 - (-8 - (-10 - -1)))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -194 - -196. Solve -f*l = l - 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c - 1. Let q be b(1). Let a(u) = u**3 + u**2 - 3*u - 2. What is a(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -816878*c**3 + 123045 wrt c.\nAnswer: -2450634*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 203 - 207. List the prime factors of (((-108)\/8)\/(-3))\/(p\/(-584)).\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 939.088um in centimeters?\nAnswer: 0.0939088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 437013 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2016?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 720 = -3*z + 5*a, -5*a - 459 = 4*z + 466. Let f be z*3*2\/(-6). Suppose 0 = -5*j - 4*m + f, 4*j - m - 48 - 140 = 0. What are the prime factors of j?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9152 - 4738 = 30*y. Let j = -275 - y. Does 32 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -820 + 820.3. What is the second biggest value in 1\/7, o, 5, 0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 6035*m - 4. Let b(y) = 65805591*y - 43617. What is 4*b(o) - 43617*q(o)?\nAnswer: -6231*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 879 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: (396\/(-825))\/(36\/(-45))*400\/168\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 4. Let i be -1223 - r\/(-3) - 0. What is the common denominator of -5 and (-4)\/(-14) - i\/84?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -29*f - 64. Let d be n(-6). Suppose 2*t = 5*r + d, t + 4*r + r - 70 = 0. What is the highest common divisor of 15 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 413 + -243. Let l = w - -10. What is the remainder when l is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53.7 - 5.7. Let t = g - 41. What is the nearest to 0 in t, -1\/6, -1\/5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -85 + 96. Suppose -71 = -o*x + 6. What are the prime factors of x*4\/16*6*6?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 6*v - 2. Suppose -5*o = -3*a + 29, -3*a = -2*o + a - 20. Let f be d(o). Is (f\/(-9))\/((-6)\/27) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 + u**2 - 2*u**3 + u**3 + 3*u**2 - 3*u**2 + (3 - 3 + u)*(2*u - 2*u - 2*u**2) - 3*u**3 + 4*u**3 - 3*u**3 + 0*u**3 + 2*u**3 - 4*u**3)*(-u - u + 3*u).\nAnswer: -7*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 + (-1 - 4) - 1. Solve -5*p + 5 - 30 = y for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -272, -2, 3 in ascending order.\nAnswer: -272, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*d + 12 = 0, 0 = -3*h + 3*d + 10 - 1. Let r = -5 - -7. Suppose -n - 2*b + h = -r*n, 12 = n + 3*b. Solve 2*t = n*t + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = u - 5. Let v be 3*(-3)\/9 + u. Suppose -v*k + 2 = -k. Solve k*s = 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 500 = 6*u + 48*u for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 111222031?\nAnswer: 111222022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ju when two letters picked without replacement from wjuwujjw?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 3, -86?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 11 = 3*i + 42, 2*y - 3*i + 80 = 0. Let j = 52 + y. Suppose 0 = b - j + 3. Solve 2*n + n - b = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.2 and 0.0567728?\nAnswer: -0.06812736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -17327 < -242593\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11376.974 + -11377. What is the nearest to j in 2\/5, 0.2, -2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 41 (b) 42 (c) 0.5 (d) 6 (e) -4 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -55 + 1\/((-4)\/8 - -1). Let j(w) = w**3 + 52*w**2 - 54*w - 46. Let l be j(t). Solve -d = -l*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 2*f = d - 4, 2*f + 8 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -5*z - 142. What is the common denominator of z and -93\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 7:21 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-23 - -86) + -11 - 14\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 8 + 17 + -63 + 56 + 12.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88684697?\nAnswer: 29, 409, 7477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 150 - 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) - 3*sqrt(143)*-2)\/(sqrt(22)\/sqrt(2)*4).\nAnswer: 7*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(0*f - 4*f + 2*f)*(-4 + 5 + 3).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15 - -28)\/((-2)\/(-26)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - 7 - -11 - (-10 + 7). Solve -3*t + 5*w + 18 = 0, 0 = -t + c*w - 1 + 7 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19 + 1ab4059?\nAnswer: 1ab4076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 + -358. Let h = 453 + g. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 a when three letters picked without replacement from jjxjaaapxa?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14230 + 9a?\nAnswer: 1430a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3125103376?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 57 = 17*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*y - 2 = 10, -4*q - 14 = -5*y. What is the tens digit of q\/(-2) - 495\/(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = x - 3*j + 4, -x + j = 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/12 and -139\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -2213874?\nAnswer: 11069370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**5 + 212*x**4 - 5970*x**3 + 52568*x**2 - 185696*x + 231552 = 0 for x.\nAnswer: 4, 27, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55872, -55780, -55688, -55596, -55504, -55412?\nAnswer: -55320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -5 + sqrt(6)\/sqrt(2) + sqrt(3) + sqrt(432) + -1 + sqrt(432) + 4*-3*(sqrt(12)\/sqrt(4) + sqrt(3)))**2.\nAnswer: -24*sqrt(3) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a week in minutes?\nAnswer: 68040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7406, 17692, 27976, 38258, 48538, 58816, 69092?\n\"Answer: -o**2 + 10289*o - 2882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iijz when four letters picked without replacement from {i: 2, u: 2, c: 2, z: 5, j: 1, o: 5}?\nAnswer: 1\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + 3. Let k = -12.75 + c. What is k rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = 2*a + 3*a. Let w = 14 + a. Calculate the remainder when 159\/3*(w + -2) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -7*t - 40. Let m be z(-6). Let r be m\/5 + -1 + (-12)\/(-20). Suppose g = -p + 3391, 4*g + r*p + 3*p - 13563 = 0. Round g to the nearest one hundred.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 59*f - 7750. Determine b(115).\nAnswer: -965","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63124599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 79*j**2 - 4*j. Let b(x) = 860*x**2 - 45*x. Let n(h) = -6*b(h) + 65*v(h). Factor n(y).\nAnswer: -5*y*(5*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 56*p**2 - 137*p**2 + 60*p**2.\nAnswer: -21*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 16 = 2*c, -5*p + 4*p + 2*c - 8 = 0. Let k be p\/(324\/126*14\/8). What is the third biggest value in -7, -0.4, k, 0.6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244 is divided by 50.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -19\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s\/s**(-47))*s**(-1\/2))\/((s\/((s*s\/(s**23\/s))\/s))\/s)**(4\/11) assuming s is positive.\nAnswer: s**(-1235\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -346, 1 in ascending order.\nAnswer: -346, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 5*l - 17*z + 55, -11*l = -4*z + 1 + 55 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2997047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 m when two letters picked without replacement from mxvvuumvmve?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 27192227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 + -118 - (-13 - -2 - -3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 39\/(-108) + 3\/12\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24694021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 25343153 (base 7) in base 10?\nAnswer: 2296472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2943 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1295 divided by 6\nAnswer: -1295\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 p when three letters picked without replacement from ypuuuypuuuuuu.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-96 - 2)) + (7108 - 7079).\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g - g**2 + 4 + 3317*g**3 - 3322*g**3 + 5*g as m + h*g + y*g**2 + q*g**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -4\/37, 1530?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8477 is divided by 1393.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254 = -3*i - 233 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 6*m**2 - 8*m + 9. Let x be u(7). Suppose -x*r + 3 = -r. Suppose 2*l = r*l - 9. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - g**2 - g - 2. Let u be a(-2). Let l(f) = 19*f + 4. Does 23 divide l(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.37 - -0.27. What is the nearest to 0 in 1\/5, v, -1\/9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 25, 100, 247, 490, 853?\nAnswer: 1360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 3*n - 25 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -178*a**2*y + 1246*a**2 + 14083*a*y + 82*y wrt a.\nAnswer: -356*y + 2492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -1) + -24 + 26 + (-5 - 4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 75230195\/221193 - -2\/221193. Let u = -712 - -1051. Let c = u - a. Is 0 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5*a + 5 = 2*u, -2*u = a - 1. Let k be 3*4\/(-18) + 1261\/1950. Is k at least u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h + 39. Let r(k) = -336956*k. What is v(r(c))?\nAnswer: -336956*c + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1631 is divided by 102.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 a when three letters picked without replacement from ccaccacccaccccc.\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 348 and 344955?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 19*k**3 + 7*k**2 + k - 7. Let r be b(2). Suppose -2*o = -r - 131. Calculate the greatest common divisor of 34 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 11984736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001100110001110000 + 11111000?\nAnswer: -1001100101101111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + o - 9 = -2*o, 4 = 4*a + 4*o for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m + 2*m - 4*m - 37*m**3.\nAnswer: -37*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21870?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/1620 and 89\/1260.\nAnswer: 11340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*f + f**3 - 108*f + 20*f + 66*f - 5*f.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -2, 5.\nAnswer: -4, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-35)\/70*(0 - -2). Let j be o + -5 - 52\/(-8). Let t = 0.95 - 1. What is the biggest value in j, t, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 12) to base 10\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/2*0\/(-50). Solve q = -c + 4, -3*m - 5*c = -4*m - 17 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -58042, -116082, -174122?\n\"Answer: -58040*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2338033?\nAnswer: 1381, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 5*b - 31428, -4896*d = -4900*d - 3*b + 62842. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -55, -191, -477, -967, -1715?\nAnswer: -2775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-3) - (-160)\/30. Suppose -c*w + 8*w = 111. Let k = -1 + w. Is k a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003229 to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4 + (sqrt(272) - (sqrt(272) + sqrt(272)*-3*4) - sqrt(272) - 5*sqrt(272)*4))**2.\nAnswer: -144*sqrt(17) + 22036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 1 - -5) + -3 + 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -222123 - -12033201?\nAnswer: 11211012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -695.99 - -696. What is the fourth biggest value in 0.4, -9, r, 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 34*k - 25*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 148 - 51 - 47 - 2*y**3 - 2*y**4 + 9*y - 49 as b*y**2 + g*y**4 + i + u*y + j*y**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (7 - (16 - 8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -19\/6, 98, -5?\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 91625.38 centuries?\nAnswer: 109950456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j**2 - 13*j**2 - 1 + 14*j - 16*j as o + x*j**2 + f*j and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 142495 - 142015.128. Let z = v + -480. Which is bigger: 0.1 or z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -385091026 - -148.\nAnswer: -385090878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**2 + 2386*k - 2399*k + 5*k**2.\nAnswer: 7*k**2 - 13*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 3*f - 10 - 6*f)*(-3*f**4 - f**3 + f**3).\nAnswer: 9*f**5 - 3*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4312 - -4447. What is the remainder when 417 is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -20*c**3 + 16*c**2 + 6*c - 10. Let q(s) = 4*s**3 - 3*s**2 - s + 2. Determine 2*g(b) + 11*q(b).\nAnswer: 4*b**3 - b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 44*b + 358. Let i be z(-10). Let p be (-3)\/(i\/69) - (-11)\/(-22). Let f(l) = -l**2 - 11*l + 10. Determine f(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -16478.2?\nAnswer: 16476.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99 = 60*b - 261 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000094955 rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 51131320?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 c when three letters picked without replacement from cnnnncnc?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, l: 5}. Give prob of sequence lk.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5, -17, 3, -1, 4, 45.\nAnswer: -17, -7, -1, 3, 4, 5, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3103 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*p**5 - 192*p**4 - 10*p**3 + 50492*p**2.\nAnswer: 120*p**2 - 4608*p - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lmd when three letters picked without replacement from {v: 2, q: 2, t: 1, m: 1, d: 1, l: 1}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.881 or 0.06?\nAnswer: -0.881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 - s. What are the prime factors of c(-2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 653204 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 388 + 67 = 0. Let q = x + 107. Solve 5*f + 4*k - 3*k + 26 = q, -f - 6 = k for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 3:46 PM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 12669*j + 7. Let p be c(-3). Round p to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/4)\/(31\/(31372\/69)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 + -1 + -35 + -34 + 37.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b + 4*p = 23*b - 27, -b = -p - 36. Suppose -4*s - 2*w - 38 = w, -3*s + 3*w - b = 0. Let u(a) = -a**2 - 12*a - 11. Determine u(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-7)\/(-2)) + (-1615)\/(-595))\/(-1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-337 - -332)\/((-4293)\/252 - -17)\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + (1 - 2) - -80. Suppose 0 = -5*p + g - 20. Suppose -3*j + 7 = -14. What is the remainder when p is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -73 + 75. Find the third derivative of 22*a**3 + 2*a - 18*a**4 + 19*a**4 + 6*a**u - 21*a**2 wrt a.\nAnswer: 24*a + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*0\/17*2\/40*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 2250?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.9999996 + -9. Round u to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21434211 + 152?\nAnswer: 21434403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**2\/7 - 4586*p\/7 + 4587\/7 = 0. What is p?\nAnswer: -4587, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*l**3 - 79*l + 79*l - l**2)*(0*l - l - 2*l)*(-4 + 5 - 4).\nAnswer: 63*l**4 - 9*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t + 33. Determine l(-16).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*u + 156 - 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a*a\/a**(-1\/28)))**(-1\/21)*a\/a**(-31)*a**(4\/21))**(3\/37) assuming a is positive.\nAnswer: a**(18929\/7252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*s**4 - 2\/3*s**3 + 0*s**2 + 0 + 0*s + 1\/3*s**5.\nAnswer: s**3*(s - 1)*(s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*l**2 + 37*l**2 - 23*l**2 + (-2*l - 3 + 3)*(-l - 13*l - 113*l) to z*l + i + t*l**2 and give t.\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4099 - -17844. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 10231*k - 508999. Calculate i(-50).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -338*i**2 - 54*i + 19. Let t(v) = -336*v**2 - 55*v + 23. Let a(d) = 6*b(d) - 5*t(d). What is the second derivative of a(p) wrt p?\nAnswer: -696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 6*q**2 + 9*q + 58. Let x be a(8). Solve 14*w - 24 = 10*w + 5*m, 7 = -w - x*m for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 5 = 29. Solve 4*g - 5*k = 3, -5*k - n = -3*g - 0*k for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 50.75038l?\nAnswer: 50750.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 1220?\nAnswer: -1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 130 and 56.\nAnswer: 7280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t**2 - t**2 - t**2)*(-2*t + t - t) - 162*t**2 - 16*t**3 + 162*t**2 in the form b*t**2 + i + a*t + s*t**3 and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23496 and 45568?\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45902730.\nAnswer: 2, 3, 5, 1530091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 212 and 2283664.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 10 = w - 3*a, 3*w + a - 18 = 0. Solve 0 = -4*j - 5*n + 16, 2*n = 3*j - 5*j + w for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -b**7\/735 - b**6\/210 + 4*b**5\/105 + 217*b**2. Factor n(a).\nAnswer: -2*a**2*(a - 2)*(a + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90561, 181138, 271721, 362298, 452857?\nAnswer: 543386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 29*c**3 + 4*c**2 + 3. Let w(s) = 15*s**3 + 2*s**2 + 2. Determine -3*q(z) + 5*w(z).\nAnswer: -12*z**3 - 2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52.9 - 31.6. Let b = w + 84.5002602. What is b rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 558110.00492 - 558155. Let q = -45 - a. What is q rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34556791597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9206f (base 16) to base 5.\nAnswer: 123120002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 862, 1712, 2562, 3412, 4262, 5112?\n\"Answer: 850*m + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*8\/(-1680))\/(-1*(-3)\/9)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 385154.2 millimeters?\nAnswer: 385154200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-4\/3)\/a**(3\/2)*(a**(-1\/9))**(-1\/6) assuming a is positive.\nAnswer: a**(-76\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and 139942.4.\nAnswer: 139942.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/3))**(16\/7)\/(y*y\/y**2*y)**(-10\/7)*(y*y**(-2\/5))**23*y**(-3)*y**(-1\/7) assuming y is positive.\nAnswer: y**(1429\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - 122519415?\nAnswer: -122519415.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -172 and -0.46.\nAnswer: 79.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1940544?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 847 - 850. Let n(p) = p**2 - p + 1. Let y be n(2). Let x = y - -1. Which is the closest to -2? (a) 6\/5 (b) x (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 5 - (2 - 3) - 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 times 113?\nAnswer: 101.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + -5*(1 + sqrt(684)) + -5)**2.\nAnswer: 480*sqrt(19) + 11044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8822882, -8822888, -8822894?\nAnswer: -8822900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 80?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*q - 1 = 0, -2*q - 2 = -0. Which is the nearest to 0.3? (a) 0 (b) h (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 7:13 AM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven fifteenths of a minute?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - p**2 + 2*p)*(0*p + 2*p - 3*p)*(-p + p - 16*p**2).\nAnswer: -16*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventeen halves of a decade?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 29684\/3, 130, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/3*((-4)\/(-4))\/((-182)\/(-39)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1080) + 1*sqrt(1080))\/(3*sqrt(40)\/sqrt(4) - sqrt(10)).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 591*n**2 - 3*n - 5. Let u(d) = -590*d**2 + 2*d + 4. What is -3*u(h) - 2*y(h)?\nAnswer: 588*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 72*n - 24. Calculate the remainder when (-1 - -4)*(-191)\/(-3) is divided by c(1).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 11*u**2 + 2*u + 2. Let w be 26\/(-8) - (-5)\/20. Let j = w + 0. Is l(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.4 * -698.\nAnswer: -977.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 - 52 - (15 - 4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30994.\nAnswer: 2, 15497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 17240487 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 1\/101, -6\/11, -2\/41?\nAnswer: 1\/101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 346.2, 0.3, -3, 0.5, -0.2 in decreasing order.\nAnswer: 346.2, 0.5, 0.3, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73368 by -12228.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 + 7 = -2*m. What is the remainder when 737 is divided by m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 8:19 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -3*p + 33, 5*p - 73 + 3 = 2*u. Let j be -19 + p - (-39)\/(-9)*-1. Determine o so that -o - j*o**2 + 0 = 0.\nAnswer: -3\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, j: 1, q: 2, y: 2, m: 4, i: 4}. Give prob of sequence jy.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 - 2*z**3 - z**4 - 2*z**3 - 5*z - z + 10*z**3.\nAnswer: -z*(z - 6)*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48299, 48300, 48301, 48302?\nAnswer: 48303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**4 - 2988*h**3 - 33147*h**2 - 84588*h.\nAnswer: 3*h*(h - 1007)*(h + 4)*(h + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10270723 to the power of 1\/2, to the nearest integer?\nAnswer: 3205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 22*x**2 + 84405*x. Let t(r) = -181*r**2. What is n(t(p))?\nAnswer: 720742*p**4 - 15277305*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 124\/167575?\nAnswer: 124\/167575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 32898, 63700, 94514, 125346, 156202, 187088, 218010?\n\"Answer: j**3 + 30795*j + 2102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0349 + 416.0349. Let v = b + -416.001108. Round v to 4 dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5*j**3 - 5*j**2 - 4*j + 11. Let n(o) = -o**3 + o - 1. Let b(f) = -m(f) - 6*n(f). Suppose -3*v - 7 = 8. What is b(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from shvvhshhh. What is prob of picking 2 v?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + w**2 - w + 1. Suppose -3*b + 5*b = 8. Let z = b + -5. Let p be z - (-1 - 1 - -1). Determine c(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2320?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*l**4 - 4*l**2 + l**4 + 55 - 53 - 10*l**4 + 4*l + 4*l**4 in the form m*l + g*l**4 + t*l**3 + u*l**2 + v and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-85)\/90)\/(52\/84) and -11\/52?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -5 + 435*9\/135.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (22 - 30 - (-2 + 0))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 931 (base 11) to base 2.\nAnswer: 10001100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -493 - -826. Calculate the least common multiple of 12 and j.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-723*c + 918*c - 576*c)*(8*c**4 - 4*c**4 + 0*c**4).\nAnswer: -1524*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 31 = -4*j, -5*j + 8 = -5*b - 37. Suppose f - 14 = -4*i, 2*f = -2*i + j - 4. Solve i*l + 2*l = 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + 72. Let f be ((-5)\/(-2))\/((-2)\/u). What is the common denominator of 807\/f + (-6)\/10 and -87\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**2 + 72*k + 5. Let p be y(-24). Suppose -795 - 465 = -p*f. Is f a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.3898 and -966.\nAnswer: -1342.5468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 148042 - 78781. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 1032022212300?\nAnswer: 1032022212311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 759577 and 17017.\nAnswer: 1547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*u = -32*u. Let 5*f - 5*f**3 + u + 15\/2*f**4 - 15\/2*f**2 = 0. Calculate f.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -476\/159 - -17789\/5830. What is the common denominator of 17\/90 and o?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-18)*((-1216)\/352 + 4*1)\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 57 - (0 - -5). Let i = p - 49. Solve b = i*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 * 0.25414656\nAnswer: 0.012707328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 3:21 PM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/3 + 7*s**2\/3 - 5*s + 3.\nAnswer: -(s - 3)**2*(s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 27081.672us?\nAnswer: 0.0004513612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41832 and 224?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -61*a - 230. Let x(c) = 39*c + 153. Determine 5*j(y) + 8*x(y).\nAnswer: 7*y + 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 7:49 AM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64514\/131949 - -88\/181. Do -2 and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3959 = 3*s + m - 3942, -28 = 5*s - s - 4*m for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8332, -8338, -8348, -8362?\n\"Answer: -2*d**2 - 8330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -142.2 + -32.8. Let r = k - -175.0286. What is r rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -8, 2 = 2*h - 0*b + 2*b for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2647630055 to the power of 1\/2, to the nearest integer?\nAnswer: 51455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 4 = 3*y + a, 0 = 3*a + 12. Let f(d) = 3*d**2 - 3*d + 8. Let t(r) = r**2 - r + 3. Let m(i) = 3*f(i) - 8*t(i). Determine m(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 4*t + 40. Let r be y(9). Let s = 159 - r. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-56*b - 34*b - 91*b)*(-2 + 1 + 3) + 6*b - 2*b - 3*b + (4*b - 3*b - 3*b)*(2 - 3 - 1))*(b - 3*b - b) in the form v*b + s + r*b**2 and give r.\nAnswer: 1071","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/(-3)*3)\/(-1)*173\/173.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/6*(-27)\/(-3). Let z be ((-278)\/(-4))\/(149\/1490). Is (q + (0 - 2))*z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.83 - -3.83. Let h = 2.6 - -10.4. What is the nearest to s in 5, -5, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3*r - 3 = 0, 0 = -3*f + 3*r - 2*r + 23. Let t(w) = -2*w**3 + 13*w**2 - 3*w - 2. What is the smallest common multiple of t(f) and 218?\nAnswer: 1744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 40658327 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 + g**3 - 6*g**3 - 2*g**5)*(-571 + 257 + 215).\nAnswer: 198*g**5 + 396*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363*a = 197*a + 20902 + 4298 for a.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 356\/3 - 118. What is the nearest to -1\/2 in 0.1, n, 1\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18577 + 6481 = -737*q for q.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/sqrt(7)*5)\/(sqrt(294) + sqrt(294)*-2).\nAnswer: -5*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*b + 13 = 0, -3*t + 18 = 2*b - 7. Let p be (-1077)\/t + (-2)\/6. Is p\/2*(-2)\/5 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 9*l + 3*l - 11*l. Let q(y) = -2*y**2 + 28. Determine q(f(g)).\nAnswer: -2*g**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 481 and 14?\nAnswer: 6734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -165 and -0.98?\nAnswer: 161.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p**2 + 45*p - 354. Let r be v(34). What is r rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((15\/51)\/(214\/1819))\/((-4)\/72)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) 77 (b) 0.4 (c) -3\/4 (d) -1\/6 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 - 2*m + 5. Let u be k(2). Let t be u\/(2 - (5 - 4)). Suppose -o + 3*l - 19 = -6, 2*l - 2 = 4*o. Solve 7 = 3*b - i, b + 0*b - o*i - t = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 2*p - 16*p - 3515. Is -172 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 716 is divided by 29?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iaiaaa. Give prob of sequence iaaa.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 5, -43*j + 47*j - 2067 = -5*u. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 4 (b) -3 (c) -2\/11 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2 + 5*w. Let y(o) = 6*o**2 + 16*o + 1. What is 7*t(u) - 2*y(u)?\nAnswer: 2*u**2 + 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 7*d**2 - 5*d - 6. Calculate k(-4).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 2*y**3 - 6 - 10*y**2 + 39.\nAnswer: -2*y**3 - 10*y**2 + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 19 = 3*v + r, 3*r - 6 = 0. Suppose v*a = 2*a + 5. Is 7 a factor of a\/(-15) + 100\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 302661 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 536388 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/5 of a second in milliseconds?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/26 + 2424\/39. Suppose -12 = -4*j + 2*j. What is the units digit of 6\/9 + t\/j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 74*t**2 - 50*t + 30. Is w(10) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 278*m - 4726. Let i be r(17). Solve i = 132*q - 136*q - 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/6, 6\/11, -4, 0.4?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*a = -35*a - 16, -2*a - 1015200035 = -3*f. Suppose 3*y = -3*o + f, y - 2*o = 27032524 + 85767470. What is y rounded to the nearest one million?\nAnswer: 113000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4579 - 5353 + 1553 + 2*x + 2056 as y + b*x and give y.\nAnswer: -6323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7 (b) -19\/5 (c) 0.3 (d) 5 (e) 85\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 615?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.3, 0.2, -11, 3, 2\/15, -1\/3.\nAnswer: -11, -1\/3, 2\/15, 0.2, 3, 5.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.9 and 2403.\nAnswer: -2162.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 41136?\nAnswer: 287952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -79\/4*y**4 - 100 - 57*y - y**2 + 0*y**3. Find the second derivative of v(q) wrt q.\nAnswer: -474*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -i**5\/60 + 11*i**4\/24 - 19*i**3\/6 - 3*i**2. Find the common denominator of j(13) and 25\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 28238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23 times 5.3?\nAnswer: 1.219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 6 - 7*m - 18 + 6 - m. Let f be (9 + -2)\/(0 - 1). Let r(w) = -7*w - 5. Calculate f*r(y) + 6*j(y).\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 160 and 135455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 304?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -232 by -58.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -47 and -158573\/3330 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4055236, 4055241, 4055248, 4055257?\n\"Answer: s**2 + 2*s + 4055233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -548969, -1097946, -1646923, -2195900, -2744877, -3293854?\nAnswer: -3842831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 782\/92*(-120)\/204?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -2. Suppose 5*y - u - 10 = 0, -2*y + 4 = -0*u - o*u. Find the third derivative of 2*p**6 - 2*p**4 + p**y + p**6 + 2*p**4 wrt p.\nAnswer: 360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -96 - 2602*b - 2*b**2 + 2602*b in the form o*b + y + r*b**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9809 is divided by 612?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 (base 16) in base 7?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p + 15*p + 12 = 0. Let g(w) = -w**2 - 4*w + 5. Calculate g(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 314 = q, 3*q - 4*q - 4*r - 338 = 0. Let p = -287 - q. What is the remainder when 623 is divided by p?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1026106 is divided by 472.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - (43 - 8)) + 6.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/(-2))\/((-16)\/(-8)). Suppose 0 = 2*u - 5*s + 6*s - g, u - 5*s = 12. Differentiate z**2 + 0*z**u + 0 + 3 - 6*z**2 wrt z.\nAnswer: -10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 + (9 - (-10 + 15)) + 5\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.9631 decades to months.\nAnswer: 8155.572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 939698343 to the nearest integer?\nAnswer: 30654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(27\/6) - (-177)\/9. Solve 5*x - 3*q + z = 0, -4*x + q = -0*q + 18 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*q = -4*l + 8404, -5*q + 4220 = 2*l. What are the prime factors of l?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21\/4658212 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180673422?\nAnswer: 2, 3, 29, 521, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -416, -418, -226, 256, 1124, 2474?\nAnswer: 4402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and 0.01843427001.\nAnswer: 3.01843427001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-21)\/2*4\/6 + 2. Let h(o) = 4*o + 6*o**2 + 3*o + 7 - 2*o + o**3. Let q be h(n). Does -1 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-9)\/(-21))\/((-6)\/85) and 0 - (50\/36 + -2)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 72.925 and 16527484.29?\nAnswer: 16527411.365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/84 + (-12)\/(-84).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1428)\/544*(-52)\/117*12?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58*f**2 + 34*f**2 - 13*f**2 to l*f + v*f**2 + p and give v.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*17*-1*(46580\/210970)\/274.\nAnswer: 1\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/375*-15 + 68\/90 + 47\/(-470).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 5*f**2 + 36*f + 68. What are the prime factors of r(11)?\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 1 = 2*i - 6, -5*i - 50 = -5*b. Suppose -4*m - z + 4 = -b*z, -m = -2*z + 4. Factor -m*p**2 + 156*p**3 - 154*p**3 + 2*p**4 + 0*p**4 - 10*p - 4.\nAnswer: 2*(p - 2)*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 2*j - 12 = 0, 4*f - 30*j + 0*j = 3*f + 151 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.03637 - -1.03637. Sort s, -2\/25, 3\/4, -8 in descending order.\nAnswer: s, 3\/4, -2\/25, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 814869.\nAnswer: 3, 11, 8231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 5*u + 485, 3*u = -2*r - 45 + 219. Suppose r*c = 94*c. Solve c + 6 = -6*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**3 + 12*p**2 - 12*p**2)*(-8*p - 23 + 23).\nAnswer: 32*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -66 and 1.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -184575323*t**2 - 245013753.\nAnswer: -369150646*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (2 - 71 - (18 + -14) - 1).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 95, -179, -3 in ascending order.\nAnswer: -179, -3, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19923683873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-296 + 171 - 667)*(-4*m + 9*m - 6*m) in the form d + p*m and give p.\nAnswer: 792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 24119?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/5 - 3877077*h**2\/5 + 7754151*h\/5 - 775415.\nAnswer: (h - 3877075)*(h - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 17 - (30\/3)\/(-2). Suppose -33*f - 30 = -v*f. Put -4, f, 1 in ascending order.\nAnswer: -4, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18)\/(-15)*5\/(-2). Let p be -20 + c\/(-1) + -1. Let n be (-78)\/p + 4\/6. Solve 2*i + 0*i - 10 = -n*h, 5 = i for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 6*v + 3. Let j(l) = -2*l + 5. Let n(f) = f - 19. Let i(w) = w + 1. Let b(h) = 5*i(h) + n(h). Let y(m) = 6*b(m) + 17*j(m). Calculate 6*s(t) - 17*y(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*d**2*o + 2*d**2 - d*o + 141*d + 55337*o wrt d?\nAnswer: -24*d*o + 4*d - o + 141","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 12*d**2 - 11*d - 3. Let g be t(11). Sort g, -0.05, -5 in increasing order.\nAnswer: -5, g, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10213 + -3542. List the prime factors of f.\nAnswer: 7, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(756) - -1*sqrt(756)*-1)\/(sqrt(30)\/sqrt(40)*4) + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 12.\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from svsaxvvmmxqs. Give prob of picking 1 q, 1 s, 1 v, and 1 x.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 74.7472us?\nAnswer: 74747.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 155513, 310209, 464905, 619601, 774297, 928993?\n\"Answer: 154696*g + 817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 96 = -q. Suppose q = 10*w - 6*w. Which is greater: -6 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 16) + -10 + (-16 - -8)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26581.87 litres?\nAnswer: 26581870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (100\/500)\/((-1)\/10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*s = 66, 213 = -3*t - t + 5*s. Let u = 103 + t. What are the prime factors of u?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 2897863?\nAnswer: 14489315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-2) - (-41 - -1). What is the greatest common divisor of 110 and r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -224*f + 2. Let r(a) = 5*a**2. What is o(r(h))?\nAnswer: -1120*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.66938 to 1 decimal place.\nAnswer: 16.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-5) - 2\/(-10). Let t(x) = -4*x - 1. Let g be t(r). Let l be 1\/(3\/((-12)\/(-26))). Which is the biggest value? (a) g (b) 1\/4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001612 to seven dps.\nAnswer: 0.0000161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -114056\/27 - -4228. Which is bigger: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 10:48 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1990473523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hfhfhfgfhf. Give prob of picking 1 h, 1 g, and 2 f.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -6*m**3 - 9*m - 12 - 7*m**3 + 12*m**3 - 8*m**2. Let n be p(-7). What is the third derivative of -333*v + 2*v**2 + 16*v**n + 333*v + 21*v**4 wrt v?\nAnswer: 504*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*v + 11338 + 1668 = 0, -4*j - 5*v + 52010 = 0. Round j to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 20, 2, 28111 in increasing order.\nAnswer: -3, 0, 2, 20, 28111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -116*v - 539*v - 432 + 2*v**2 + 433 + (v + v + 0*v)*(v - v - 2*v) + 0*v**2 + 3*v**2 - 2*v**2 + v**2 + v**2 - v**2 - 2*v**2 + 2*v**2 + 3*v**2.\nAnswer: 3*v**2 - 655*v + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -325 + -46?\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92414, -184827, -277244, -369665, -462090, -554519?\nAnswer: -646952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -122657.725 rounded to the nearest one thousand?\nAnswer: -123000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 5 (b) -2 (c) 4\/3 (d) -0.246\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 348971928?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23930153 a multiple of 2119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 5*c**3 + 4*c**2 - 6*c. Let g(d) = 9*d**3 + 8*d**2 - 12*d + 1. Let v(s) = 6*g(s) - 11*j(s). Let r(x) = -x + 1. What is 6*r(y) - v(y)?\nAnswer: y**3 - 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3c9 + 3?\nAnswer: 3cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-20)*4*(-5 + 2). Which is the nearest to -7? (a) u (b) 7 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2*n = -2*i + 16, 5*n - 21 = -i. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 251\/4 - (5 + 84\/(-16)). Suppose 3*z + 81 - 273 = 0. Which is greater: q or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15629\/4 - 3956. Let y = -48 - s. Let g(p) = -p**3 - 7*p**2 + p + 7. Let i be g(-7). Which is bigger: i or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/129 - 292\/2193. Suppose 6*z + 8 = 2*z. Which is the third biggest value? (a) h (b) 7 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 - -15. Let n be 3 - (-1 - -1) - -1. Let l = 8.7 + -9.1. Which is the nearest to 0.5? (a) l (b) n (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17933 + 17935. Let x = 5.87 + 0.13. Let k = -5.6 + x. Which is the biggest value? (a) g (b) 0.05 (c) -5 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*m**2 + 55*m**2 - 6*m**2 - 21*m**2 - 18*m**2.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**5\/9 - 3418*o**4\/9 + 43742*o**3\/9 + 13672*o**2\/9 - 19448*o = 0 for o.\nAnswer: -2, 0, 2, 13, 1683\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 2436 divide 31569720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-6)*a\/a**(-1\/2)*a**(-4)\/(a**(3\/5)*a))**38)**(2\/15) assuming a is positive.\nAnswer: a**(-3838\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 330 and 25.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4848 a factor of 1032376752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 34594\/2 + -1 + (-66)\/(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4010 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2954, 2953, 2952, 2951, 2950?\n\"Answer: -w + 2955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -954*t - 1899. Let l be z(-2). Let g(a) be the third derivative of 7*a**4\/24 - 3*a**3\/2 - 2*a**2. Let m(y) = 4*y - 4. Give l*m(i) - 4*g(i).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*3\/((-6)\/38). Solve 0 = -4*l - 3*u - 24, -4*u + 3 = p for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 1164*z + 11550. What is d(10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3 = 0, w = -4*p + p + 8. Suppose -2*y + 335 = p*y. Suppose 4*a - z = y + 421, a + z = 117. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.61 (b) 27 (c) -0.5 (d) 6.4 (e) -0.056 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21755 - 12988. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + b5d?\nAnswer: b59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110010101001100001 - -111?\nAnswer: 10110010101001101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/197? (a) -4 (b) -2\/3 (c) 1 (d) -206\/81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3*i = 5 + 589, 0 = -5*g + 3*i + 984. What is the remainder when g is divided by 54?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 786 = 1713*y - 1707*y. What is the remainder when y is divided by 18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 0, -1, 4 in descending order.\nAnswer: 4, 3, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v - 2. Let q be z(0). Suppose 2*w - 6 = 4. Suppose -w*f + 7 = 32. Sort -3, q, f in decreasing order.\nAnswer: q, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -588 + 333. Let r = 257 + o. Let j = -7 + 7.06. Which is the fourth biggest value? (a) -4 (b) r (c) -1 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 0)\/((-1)\/(-4)). Let h = m - 0. Suppose 5*a - h*a = 4*n, -4*a + 11 = -5*n. What is the third smallest value in 0.5, a, 0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 15208, 15211, 15214, 15217, 15220, 15223?\n\"Answer: 3*h + 15205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 64139 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 153 = 2*v - 145, -5*v = -5*o + 55 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -5. Suppose c + 0*c + r*d - 32 = 0, d - 82 = -2*c. Calculate the greatest common factor of c and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000016598294492 rounded to 7 dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 2*w = -4*m - 4, 4 = 5*m - 2*w. Suppose -a = -m*a + 1. Which is smaller: 1\/6 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/35 and 7\/40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-212646)\/(-664))\/(6\/64) a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p + 23. Calculate a(19).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 10*n - 19. What is the remainder when v(6) is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*b**2*r*s**2 + 3*b**2*s**2 + 6*b**2*s + 36*b*r*s**2 + 6*b*r*s wrt b.\nAnswer: 8*r*s**2 + 6*s**2 + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 220071*i - 3521115. Calculate u(16).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3322122101 (base 4) in base 13?\nAnswer: 29bb17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -124.19 - -124. Let t = 16 - 15.65. Let l = t + z. Is l greater than 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*c**4 + 21441*c**2 - 36187*c wrt c.\nAnswer: -36*c**2 + 42882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16284, -32526, -48744, -64926, -81060, -97134, -113136?\nAnswer: -129054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.021237149076 to six decimal places.\nAnswer: 0.021237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 12:22 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 212, 403, 604, 821, 1060, 1327, 1628?\n\"Answer: m**3 - m**2 + 187*m + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0 = 2*p + 1, -3*j - 15 = 0. Suppose -y + 3 = 3*v + p*y, 5*v + y = 17. Let -5*r**4 - 10*r**3 - v*r + 15 - 10 + 14*r = 0. What is r?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.6000021 + 2.6. What is p rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(171) - sqrt(171)) + -5 - (sqrt(171) - (1*sqrt(171) + 3)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3670 - -3669. Sort 6, 4, 3, 0, a in ascending order.\nAnswer: a, 0, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/30)\/(7\/(-70)). Suppose 3*v = 8*v. Suppose 3*q - 26 = 5*i + 7*q, v = -2*i - q - 8. Which is smaller: i or r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 - 126381*g + 126380.\nAnswer: (g - 126380)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8518, -17190, -26016, -34996, -44130, -53418?\nAnswer: -62860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 23*g**2 + 47*g - 45. Calculate the lowest common multiple of 96 and w(21).\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p**3 - 175*p**2 + 48*p + 582. Let x be r(58). Factor 0 + 1\/7*k**x - 5*k.\nAnswer: k*(k - 35)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**2 + w**2 + 5*w - 5*w**2 + 21. Let d be l(5). Let a(o) = 2 + 0 - 5 + o**2 + 3*o. What is a(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 7*s**2. Let x(j) = 837*j**2. Calculate x(u(h)).\nAnswer: 41013*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.4 and 15.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 3\/2*f**2 + 3 - 3*f. Calculate i(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 355 (c) 5\/2 (d) -3.79 (e) -2 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 0.1 (c) -0.047 (d) -3 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 3*y**2 + y + 6. Calculate r(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2945.9811 months in years?\nAnswer: 245.498425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 5*q + 7 - 0, -c - 4*q = -9. Solve 3*p + 5*f - 11 = 4*p, 3*f = 2*p + c for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11670 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: Suppose 2*g - 1 = -5*d + 12, 0 = 2*d + 5*g - 1. Factor d + 6*k + 9*k + 7*k**2 - 3*k**2 + 8*k**2.\nAnswer: 3*(k + 1)*(4*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1300) + (sqrt(1300) + 1)*-1))**2 + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -7*t + 887. Let o be z(-64). Calculate the highest common factor of 135 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2*k = 1015 - 2673, -3*h = -2*k - 2488. Suppose -226 - h = -6*v. Calculate the highest common divisor of v and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.505856 + -0.006474. What is u rounded to 2 dps?\nAnswer: -0.51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**3\/7 - 152*k**2\/7 + 1670*k\/7 - 4300\/7 = 0.\nAnswer: -86, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxj when three letters picked without replacement from jjxxxjxx.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*t - 112 = 56*t. Solve -3*g + t = -7*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 0.094\nAnswer: -0.0188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 11*o**2 + 10*o + 3. Let g be w(10). Solve 1 = -g*t - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -267 - -9.\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 4826?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 j when three letters picked without replacement from {u: 4, m: 2, j: 3}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b - 1. Let g be j(4). Let p = 10 - 21. Let i = p - g. Let l(d) = 4*d - 1. Let v(x) = -21*x + 6. Give i*v(u) + 11*l(u).\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 347*l - 70203. Calculate z(203).\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-8) - (-7)\/(-14). Suppose 3*b - 6*b = -30. Solve -5*f + b = -m*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 262462427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -285055 at least as big as -0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -964*v**2 + 234*v**2 + 490*v**2 - 460*v - 5*v**3.\nAnswer: -5*v*(v + 2)*(v + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 146*q + 23*q + 12 - 1195 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -10*r - 12. Let y(c) = -12*c**2 + 43*c**2 - 11*c**2 - 22*c**2. Give a(y(d)).\nAnswer: 20*d**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 3)*(-2 + 3 - 2)*(x**3 + 67*x**2 - 9*x - 67*x**2) in the form z*x**2 + u*x + p + v*x**3 and give u.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1584)*1)**2 + (sqrt(1584) + -3 + sqrt(1584))*-4)*-2 + 2.\nAnswer: 192*sqrt(11) + 6314","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mn when two letters picked without replacement from {h: 5, n: 5, m: 4}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of -2 - -12 - (-37 + 39) and 1225?\nAnswer: 9800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 34222*t - 35958?\nAnswer: 34222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 8 = -2*r. Let v(k) = -14*k**2 + 13*k + 8. Let q(g) = 3*g - 5*g**2 - 6 + 9 + 2*g. Let w(l) = -8*q(l) + 3*v(l). Determine w(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -168 + 107. Let i = d - -65. What is the remainder when (309\/12)\/(-1*(-1)\/i) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*t - 0*t + 96. Let f be t + (-11 - 1)\/3 + 136. Suppose -5*z + 4*q = 2*q - 760, -z - 2*q + f = 0. Is 30 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*a + 604 = -771. What is the remainder when 1319 is divided by a?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 4*j - 140, -3*t + 241 - 47 = 2*j. Let r be 6\/4 + (-7967)\/t. What is r rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**2 + 193*z - 2310. Let d be u(14). Suppose 19 = 5*b + 69. Let p be b\/6*(-3 - 0). Solve -2*g - 2*g + 3*v + 11 = d, -20 = -p*g + 5*v for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (9 + -18 - 0) + 12\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 + 38. What is the remainder when 30 is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 17235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -46*i**2 - 1. Let y(f) = 7*f**2. Calculate v(y(m)).\nAnswer: -2254*m**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -579670 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 857453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2)\/(((-70)\/60)\/(-7))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 2*v + 8, -2*p = -6*v + v - 1. Suppose p*k - 3*m - 141 = 0, -k - 3*m = -0*m - 47. Does 31 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7140*h**2 + 8*h**3 + 3569*h**2 + 3571*h**2.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (103\/(-412))\/((-2)\/(-4)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - v - 3. Let i(g) = 73*g**3 - 26*g**2 + 5*g + 12. Let m(j) = -i(j) - 5*k(j). What is the third derivative of m(p) wrt p?\nAnswer: -408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - 1 - (-5 + 11 + (-13 - -16))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-165*o**2 + 64176 - 64176)*(2*o - 5*o + 1 + o).\nAnswer: 330*o**3 - 165*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 185*i + 623*i + 928*i + 763*i + 1520*i in the form j*i + x and give j.\nAnswer: 4019","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 6*r**2 + 5. Let v be f(-6). Suppose 29 = v*l + 9. Suppose l = 2*z - 34. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131143 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-3)*(-9)\/6*1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence skr when three letters picked without replacement from kkcckssyccykkr.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**3 - 131*o**2 - 26*o - 108. Is 12 a factor of f(66)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-2 - -6) + (1 - 13) + 1\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9535456 or -9535558?\nAnswer: -9535558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence udy when three letters picked without replacement from {o: 2, d: 2, x: 1, h: 1, y: 1, u: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 1170?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**5*h\/(h*h**(-6)*h))**(-15)\/(h**(1\/7)\/(h*h*h**5*h)*(h*h\/(h*h**(8\/3))*h)\/(h**(2\/15)\/h)) assuming h is positive.\nAnswer: h**(-4982\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 5*a - 33, -2*k + 5*a - 44 = 2*k for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 - 8)\/(-2)*2. Let m(d) = -3*d**2 + 1. Let v(j) = 17*j**2 + j - 6. Let c(l) = p*v(l) + 6*m(l). Let t(u) = 5*u**2 - 3*u - 1. Calculate -4*c(h) - t(h).\nAnswer: -h**2 - h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1065 - -1067. Solve -3*j + 3 = 0, -4*d + c*j + 16 = 6*j for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11553*x - 1789 + 1786 + 11625*x.\nAnswer: 72*x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 16. Let k be 2\/g - (-14)\/10. Which is bigger: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -319*z**3 - 238*z**2?\nAnswer: -1914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/9 or -0.3784?\nAnswer: -0.3784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6163317257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-875)\/(-224))\/(-25)*184\/(-46)\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + -13)*(-1 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91043 less than 1.912?\nAnswer: 91044.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 + k - 3. Let r(v) = 0 + 4 + v - 3 - 2 + v**2. Let n(q) = 2*i(q) - 6*r(q). What is the second derivative of n(w) wrt w?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010010 + -11?\nAnswer: 1001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10470? (a) -887 (b) 3 (c) 1 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffffvzzzaff. What is prob of picking 2 z and 1 f?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(74 - (-3657)\/(-46))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -813, -6\/7, -2.74?\nAnswer: -2.74","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4\/((-80)\/(-55))*4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.443038 millennia in years?\nAnswer: 443.038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*q = 135*q + 7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 297, 308, 333, 378, 449, 552, 693, 878?\nAnswer: 1113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 343661 (base 8) to base 5\nAnswer: 12213112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.15*-0.44135\nAnswer: 0.0662025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/7 + (-24)\/(-182). Let s = 95.8 - 96. Which is the closest to -0.1? (a) z (b) s (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, 2, 2\/13, 12?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nf when two letters picked without replacement from {f: 2, n: 1, u: 2, p: 2, b: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*h - 34*h + 46 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 266638 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*t - 74*t + 139*t = 0. Put -341, t, -5 in descending order.\nAnswer: t, -5, -341","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 2*i - 1. Suppose 0 = 4*u - 2 - 2. What is the units digit of h(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a year in months?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8147 - -0.2\nAnswer: -8146.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31759368?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 339 + 332 + 688*j + 345 - 1016.\nAnswer: 688*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 3*b + 10. Suppose 2*v - t = 4, 5*v + b*t - 2 = 8. List the prime factors of 41\/v + 6\/12.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.876 + 0.176. Let r = -14 + 14.7. Let t = f + r. What is the nearest to 0 in 4, -1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4570 divided by 5\nAnswer: -914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11064242*c**4 + 8521547 wrt c.\nAnswer: 44256968*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -467734, -467735, -467736, -467737?\n\"Answer: -g - 467733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*r + 21*r - k + 15, 4*r + k = -21 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + -2 + 2*(-22)\/(-4). Let n = -0.352 - -0.252. Sort r, 20, n in decreasing order.\nAnswer: 20, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/81 - -55\/81. Factor 0 - 2\/3*b**3 + 0*b**2 - f*b**4 + 0*b.\nAnswer: -2*b**3*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3*sqrt(448) + sqrt(7) + sqrt(21)\/(1*sqrt(3)) - (5 + (sqrt(112) - (sqrt(112)*-2 + -5)))**2) + 3.\nAnswer: -1102 - 262*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26.845 + 5.052. What is k rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196399*q**2 + 98132*q**2 + 98072*q**2.\nAnswer: -195*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49195*o + 20*o**3 + 196779*o - 49189*o - 49198*o - 49197*o.\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -783 - -369?\nAnswer: -414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 457 = -p + 462 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(495\/935*6\/(-27))?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-344)\/(-688))\/(-2*3\/276)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 0, 5, -77, -5 in increasing order.\nAnswer: -77, -21, -5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133480657?\nAnswer: 4339, 30763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -607 - 19*u**3 + 607 + 35998*u**2.\nAnswer: -19*u**3 + 35998*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21202020202 + 1112111?\nAnswer: 21210210020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b + 0*b - b + (1 - b - 1)*(2 + 1 - 4) - 4 + b + 4 - 4*b + 2*b + b + 0 + b + 0 + 2*b + 2*b - 2*b - 98 + b + b - 143 + 0*b as k*b + a and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence etfc when four letters picked without replacement from {f: 1, o: 2, e: 1, t: 1, c: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c - 25. Let s be v(15). Suppose k + 3 = 0, b + s*k - 17 = -b. Let m = 23 - b. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*h**3*m**3*z**3 - 3*h**3*m*z**2 + 58*h**2*m**2*z**2 - 34*h*m**3*z**3 + h*m**3*z wrt z?\nAnswer: 42*h**3*m**3 - 204*h*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**2 + 17*z. Let y(f) be the second derivative of -f**4\/2 + 15*f - 8. Calculate c(y(h)).\nAnswer: -72*h**4 - 102*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -7*a**3 + 4*a**2 + 8*a + 13. Let x(g) = 6*g**3 - 4*g**2 - 7*g - 12. Let f(h) = 5*d(h) + 6*x(h). What is the least common multiple of f(5) and 7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/60 - (-4)\/10?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(98) + sqrt(2) + -4).\nAnswer: -16 + 32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 371726807?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -3. Let d be (b\/6)\/((-2)\/20). Let q be 836\/8 - (-1)\/2. Calculate the greatest common divisor of q and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 819 - 67404?\nAnswer: -66585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -3. Suppose -s*q - 63 = -6*q. Does 7 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28999.431762 less than -15?\nAnswer: -29014.431762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 4:44 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -7. Suppose -z*b + 33 = 5. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*o**4 - 10*o**3 - 45*o**2 + 10*o + 40 = 0. What is o?\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 3*b**2 + b + 2. Let u be i(-2). Suppose 0 = -u*m - 0*m + 8. Solve m = 5*f - 4*n, 0 = 4*f + n + 2*n + 17 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3165 - 3157. Let l(z) = 2*z**2 - 7*z - 1. Let f be l(5). Suppose -3*u + 27 = 5*s, 0 = 4*s - 2*s + 2*u - f. Sort -4, n, s in decreasing order.\nAnswer: n, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -98*x**3 - 254*x**2 + 0*x**5 - 43*x**3 + 6*x**5 - 59*x**2 - 4*x**5 wrt x?\nAnswer: 120*x**2 - 846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/232 and -57\/16?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2152 by 6114.\nAnswer: 1076\/3057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8927*g = -8883*g. Solve g = -14*b + 70 + 42 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15009 - 60035\/4. Factor -1\/4*d**3 + 0 + d**2 - j*d**4 + d.\nAnswer: -d*(d - 2)*(d + 1)*(d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**4 + 3*r**4 - 2*r**4)*(-r - 22 + 10 + 2*r).\nAnswer: 2*r**5 - 24*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 1 = h, 166*h = 165*h + 4*p - 21 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = -h + 8*h. Is 3 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - y = -o, -2*y - 1 = -o. Let w(t) = -5*t**o + 4*t**3 + 19*t - 39*t - 4*t**2 + 18*t + 4. What is the units digit of w(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 801395 (base 11) in base 10?\nAnswer: 1290206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 1 = 8*k. Let t = 1.1 - 0.1. Which is the closest to t? (a) k (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, -5, -1\/6, -4, 0.3, -148 in increasing order.\nAnswer: -148, -5, -4, -1\/6, -0.06, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -69851 - 332*q + 69847 + 2*q**3 + 74*q**2 + 32*q**2 + q**4 wrt q.\nAnswer: 12*q**2 + 12*q + 212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (-5 - 0 - -1 - -6)) + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-30)\/42 + 22 + -21. What is the closest to 2\/3 in c, -3\/448, 1, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.9 or 11843629?\nAnswer: 11843629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ahk when three letters picked without replacement from kaha?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -126261.3 to the nearest 1000.\nAnswer: -126000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-207)*(48\/9404)\/4. Let v = n - 14058599\/20601813. Let w = v - -2\/127. Which is the nearest to w? (a) 3\/4 (b) 3 (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2681522 is divided by 533?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 - -73. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/15*30\/(-4). Suppose y - t = 7. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 5181*s = -5180*s + 21, -38 = -3*g - 5*s for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14669093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 14 - (12 - 24)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-375)*5*(-5)\/(-27)*(-11718)\/868?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u + 1. Let i(j) = -2*j**2 + 6*j + 5. Let f = -839 - -841. Give f*w(b) - i(b).\nAnswer: 2*b**2 - 4*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3945056.\nAnswer: 2, 113, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 w when two letters picked without replacement from hoooobbbwoozwbo.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1670 + 2331 = 153*y - 8239 for y.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1300))**2 + 2.\nAnswer: 5202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12971 + 5186. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.8 - -1. Let x be 8\/22*(-10)\/20. Which is the third smallest value? (a) 0.4 (b) u (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 759*m + 4*m**4 - m**3 - 23*m**4 - 750*m + m**3 + 2 to the form o*m**2 + w + q*m + d*m**3 + k*m**4 and give k.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 33132111263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28583 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yp when two letters picked without replacement from {f: 1, p: 4, g: 1, w: 7, j: 4, y: 2}?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 890295.8 millilitres to litres.\nAnswer: 890.2958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/96*-6 + (-247)\/152 + 2)*-160\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 139*s**2 - 55*s + 56. Let h be l(1). Calculate the highest common factor of 1280 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 80 = 2*d - 24, 3*f - 94 = 5*d. Calculate the least common multiple of 9 and f.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 10*g - 1. Let b be v(8). Let j = b - 15. Find the common denominator of -65\/9 and j - -1 - 170\/(-15).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*j + 6*j + 2 - 6*j - 12*j + 18*j.\nAnswer: 36*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-5*2*sqrt(6) + sqrt(6)))\/(-2*(-2*sqrt(147) - sqrt(147))) + 2.\nAnswer: -9*sqrt(2)\/14 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -504, 5, -5, 4, 2, -2 in ascending order.\nAnswer: -504, -5, -2, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-5964)\/186 - (-14)\/(-217)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -2.2, 2\/7, -0.2 in descending order.\nAnswer: 5, 2, 2\/7, -0.2, -2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d. Let l(y) = 67806*y + 134. What is l(m(s))?\nAnswer: -271224*s + 134","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**4 - 2*c**3 + 7*c**2 + 7*c + 21. Let g = -286 + 284. Let s(z) = -z**4 - z**2 - z - 3. Let q(y) = g*a(y) - 14*s(y). Factor q(p).\nAnswer: 4*p**3*(2*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -8*v**4 - 53*v**3\/3 - 77. Find the third derivative of l(q) wrt q.\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8852*w + 17686*w - 12 - 8847*w.\nAnswer: -13*w - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 152*f**2*t*z**2 + 28*f**2*t*z - 2*f*t*z**2 - 4*f*t*z + 2*f*z**2 - f - 44101*z + 2 wrt f?\nAnswer: 304*t*z**2 + 56*t*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 5)*(3 - 3 + 2*n**3) - 16*n**3 - n**3 - 11*n**3.\nAnswer: -24*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 357093?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(504) - (sqrt(504)*1 + sqrt(504))) + sqrt(504) - (2*sqrt(280))\/sqrt(5))\/(sqrt(648)*-1*2).\nAnswer: sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005255812961 rounded to seven dps?\nAnswer: 0.0005256","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.7 - -0.8. Let r = -0.1 - i. Put r, -5, -3 in increasing order.\nAnswer: -5, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 n when four letters picked without replacement from bcjncqno.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 73*s + 928. What is m(19)?\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 2. Suppose -3*g = 3*p + 18, -5*p + 0*p = -s*g. Put 5\/2, p, 0.5 in decreasing order.\nAnswer: 5\/2, 0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*u = -18*u - b - 415, -4*b = u - 104. Calculate the highest common factor of 63 and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2626536 divided by -264.\nAnswer: 9949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7991427 - 7991427.12999996. Let o = -0.13 - l. Round o to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + -24 - (-10 - (-7 + 2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 13) to base 3\nAnswer: -1120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7261 divide 2763806677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*q - n = -61*q + 22*q - 22, 10*q - 70 = 5*n for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-16)*(-97)\/((-2910)\/560)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**3 + 12*a**2 - 5*a - 3. Let b(k) = -2*k**3 - 9*k**2 - 147057 + 6*k + 147061 - 4*k**2. Calculate 5*b(m) + 6*n(m).\nAnswer: 2*m**3 + 7*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 133*f**2 + 7*f - 3*f - 135*f**2 + 1 - 3 + 2*f. Give s(8).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -7. Suppose 4*j - 32 = -a*j. Calculate the remainder when j is divided by ((-4)\/(-6))\/(4\/18).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*w - 11*w + 7 - 10*w)*(-2*w**3 - 2*w**3 + w**3).\nAnswer: 39*w**4 - 21*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/27 (b) 0 (c) -0.5 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-304)\/(-1368))\/(4\/522)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 104 and 299?\nAnswer: 2392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i = -3*i - 9, -3*y + 5*i + 21 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.37 * -0.098447.\nAnswer: -0.33176639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 500634 a multiple of 228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of 9*g**5\/20 - 2*g**3 - 12*g**2. What is the derivative of b(o) wrt o?\nAnswer: 54*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 160516 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -193*w - 781. Let r be v(-7). What is the greatest common factor of r and 912?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-3\/8))\/f*f*f\/f**5)**(2\/113) assuming f is positive.\nAnswer: f**(-21\/452)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**2\/y*y*y**(2\/9)*y)\/((y**(2\/9)*y)\/y)**(-1\/44) assuming y is positive.\nAnswer: y**(71\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 u when four letters picked without replacement from uuututtuuuuouuuuu?\nAnswer: 143\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -6*g**2 + 10*g - 10. Let x(w) be the first derivative of 2*w**3\/3 - 3*w**2\/2 + 3*w + 2. Calculate 3*p(u) + 10*x(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1030111.000042 + -1030113. Let h = -1.8 + 3.8. Let d = h + j. Round d to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 720757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-3)*r)\/r**(1\/5)*(r\/(r**(2\/5)\/r))\/(r*r**(2\/7)*r))**(-4\/13) assuming r is positive.\nAnswer: r**(404\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + r - 1. Let p(j) = -j**2 - 10*j - 4. Let g be p(-8). Suppose k + 2*k = -g. Calculate the remainder when 32 is divided by m(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 59, 208, 501, 986, 1711, 2724?\nAnswer: 4073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1051 is divided by 29.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -9*a**2 + 92*a + 11. Let o(s) = -7*s**2 + 99*s + 9. Calculate -3*g(i) + 4*o(i).\nAnswer: -i**2 + 120*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7066.8 * 0.224.\nAnswer: -1582.9632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4719) - (-1*sqrt(4719) + sqrt(4719)))\/(2*sqrt(363)) - (3 + (1 + sqrt(117) + 2)**2)) + -5.\nAnswer: -134 - 35*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/5)\/h*h)**(-7)*(h*h*h**2)\/(h**(-4\/9)\/h))\/(((h*(h**(-4)*h)\/h)\/h)**(2\/9))**(2\/65) assuming h is positive.\nAnswer: h**(521\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f + 2588 = 2612 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 5. Let p = -14 - -10. Is z at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 20, 5, 2, -5, -404, 3 in descending order.\nAnswer: 20, 5, 3, 2, -5, -11, -404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3665 (base 15) in base 5?\nAnswer: 332240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 254 - 150. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 75 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x. Let z(r) be the third derivative of 245*r**4\/12 - 3461*r**2 - 1. Determine z(l(q)).\nAnswer: -1470*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 18654*j**2 + 19393*j**2 - 5 + (-2*j + 0*j + j)*(-2*j + j + 2*j) in the form x*j + g + o*j**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*313\nAnswer: 31.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 90821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 8:33 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, n: 2, t: 1, l: 1, z: 10, d: 3}. Give prob of sequence lz.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3457794787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-9) + ((-42770)\/(-117))\/(-35).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 173 = r, -o + 0*o = -r + 157. Let a = r - 153. Solve m = -3*m - a for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 5725953.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 + -43. Let w(v) = 1 + 4*v**3 - 3*v**i - 24*v + 23*v + 4*v**2. Determine w(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -47*x + 72 + 116 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 151603300 a multiple of 290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.14 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4*s - 2*s + 80, 4*n - 132 = -3*s. Suppose c + y = 53, 6*c = 3*c - y + 161. What is the greatest common factor of n and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22954.\nAnswer: 2, 23, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 176907 + 6 + -8 + (-20)\/(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 59641.5 and 0.2.\nAnswer: 59641.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -314 and -0.4?\nAnswer: 125.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-103536)\/(-11520) - (-15)\/(-80). Factor 0*n - 72\/5*n**3 + 0*n**2 + 0 - o*n**4 - 4\/5*n**5.\nAnswer: -4*n**3*(n + 2)*(n + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -5*h**2 + h. Let m(s) = -2*s - 2664737. Calculate m(w(i)).\nAnswer: 10*i**2 - 2*i - 2664737","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -135.22464 to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of h**2\/2 - h + 3. Let m be y(1). Let q be 3 + -1 + m + 0. Solve -2 = -3*f + q*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(176) + sqrt(176)*4)\/sqrt(8))\/(sqrt(162) + sqrt(18)).\nAnswer: 5*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 2*h - 4*h)*(-12224 + 164*h + 12224)*(-5 + 1 + 2)*(-25*h + 27*h - 22*h)*(-h + 0 + 0).\nAnswer: 13120*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63586 + 113917 = -4875*u - 95919 for u.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -g + 2*b, 4*g - 3*b = 128 + 52. Let u be (-4)\/14 + g\/21. Let z(j) = -j**2 - 4*j - 3. Let x be z(-3). Which is bigger: x or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.559*-59\nAnswer: -150.981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 14*q + 13. Let f be (-7)\/((-35)\/(-30)) + -4. Calculate the remainder when n(f) is divided by 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4767*c**2 - 309864*c + 562. What is v(65)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((-2)\/(-8)) + 210\/6. Suppose 97 = i + o. Is (-46 - 1)\/((-29)\/i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d - 2. Suppose -6 = 3*y, -m - y = -5 - 0. Let l(h) = -8 - 3*h + 2 + 4. Calculate m*l(a) - 6*g(a).\nAnswer: 3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108931 is divided by 1626.\nAnswer: 1615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 473999340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.08621 + 0.086220856. Round p to seven dps.\nAnswer: 0.0000109","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - ((-60)\/(-16) - 4 - 0). Let h = 1708 + -1634.04. Let v = h - 74. Which is bigger: t or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205362606 to the power of 1\/3, to the nearest integer?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/19255243?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -32*s + 33*s - 2, 0 = 4*c + 7*s + 22 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1840 + 36801\/20. Which is smaller: k or 1\/33?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 3*v**2 - 5*v - 5. Let b be n(-4). Let i(l) = 10*l**2 - 5*l**2 + l**2 - 3*l**2 - 2*l**2. Give i(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, -77.4, 5, -0.4, -1.1?\nAnswer: -77.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-6)*-9 - 183\/30)*14\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 44*l**5\/5 - 44*l**3\/3 - 31. What is the third derivative of h(u) wrt u?\nAnswer: 1056*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.93? (a) -7 (b) -3\/2 (c) -1 (d) 3 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l**5\/3 - 7*l**4\/3 + 2*l**3 + 7*l**2\/3 - 2*l\/3 = 0. What is l?\nAnswer: -2, -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 4*q + 28 = 0, o - 1578*q + 1581*q - 11 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 40824238, 40824235, 40824232, 40824229, 40824226?\n\"Answer: -3*q + 40824241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**2 + 34024*k - 272340. Give t(8).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -33*a**5\/20 - 5*a**4\/12 - 3*a**2\/2 + 53*a. Find the third derivative of h(s) wrt s.\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 60529.78 minutes?\nAnswer: 3631786800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -664155 + 664155 + c - 10*c**2. Give k(-2).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence twq when three letters picked without replacement from {q: 3, d: 3, t: 9, w: 2}?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 278406938?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-5\/8)*j*j)\/(j\/j**(-22)))**(2\/35) assuming j is positive.\nAnswer: j**(-173\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k + 24 - 24)*(2*k - k - 2*k)*(67*k + 70*k - 131*k + 1).\nAnswer: 36*k**3 + 6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5*x**2 + 36*x - 27. Let c be a(-8). Solve -y = -2*v + c*v - 14, -y = -3*v + 10 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5*k**2 - 373*k + 19174. Determine x(35).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4599 and 1722.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*c = 344, -3*y + 258 = -5*c - 214. Let k(j) = y*j**3 - 26 - 163*j**3 + 2*j**2 - j - j**2. Determine k(0).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(756) - 1*sqrt(756))\/sqrt(12))\/sqrt(7))\/(sqrt(24)\/(sqrt(288)*-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g. Let h(c) = 649*c. Determine h(d(k)).\nAnswer: -649*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 368\/19*z + 4232\/19 - 98\/19*z**4 - 1334\/19*z**3 - 2\/19*z**5 - 3166\/19*z**2 = 0.\nAnswer: -23, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 6110 = 8570. Is m a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -r - 26, -6*r - 2*u = -3*r + 8. Let f be 2*(-2 + 2*16). Suppose f = 5*m - 2*x - 0*x, -r*m = 3*x - 24. Solve 15*p = m*p - 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.089 - 6046155.\nAnswer: -6046154.911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 295 divide 276880563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -71*q**3 - 3*q**2 + 24*q - 63. Let u be v(7). Let b be (u\/102)\/(-41) + 5\/(-6). Let h = -0.5 - -0.8. What is the closest to 0.3 in b, -1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + -1)\/((10 - 1)\/153). Let g be -3 + 3 + -22 - -1. Let k be (-6)\/g + (-23)\/7. Put k, o, -5 in descending order.\nAnswer: k, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 3 + (9 - (-7 + 11)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -844855\nAnswer: 2\/844855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*d*n*r*z + 13*d*n*z**2 - d*n + d*r*z**2 + 83*d*r*z + 3*n*r*z**2 - 2*r*z - 468*z**2 wrt z?\nAnswer: 26*d*n + 2*d*r + 6*n*r - 936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 3 - 1)*(-16 - 17 + 23)*(-8 + 8 - 5*v)*(-8*v**2 - 5*v**2 + 5*v**2).\nAnswer: -1200*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*o - 4*o - 14*o - 91 = 0. Solve 7*f - 4*f + 25 = 4*a, -f + o = 4*a for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 12 = 4*z, 0*c = -3*c - 3*z + 24. Suppose c*h - 2*r + 5*r = -271, -r = -4*h - 283. What are the prime factors of (84\/(-49))\/(4\/h)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xggxzxzogxgoggozgz. Give prob of picking 2 x.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*u = -3958, 5*q + 40*u = 36*u + 19877. What are the prime factors of q?\nAnswer: 29, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*r**3 - 32*r**3 + 24*r**3)*(-55*r**2 - 22*r**2 + 42*r**2).\nAnswer: -875*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2\/16*-4*-2 - -10\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*c - 126 + 156 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39662 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1682347468 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 8:04 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 19086546 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seventy-five quarters of a milligram?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 215373820150.5 from 11.\nAnswer: -215373820139.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15*i**2 - 8*i**2 - 15*i**2 + 48*i**2 - 88*i - 8*i**2 + 537 wrt i?\nAnswer: 4*i - 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8188978 and 20.\nAnswer: 81889780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 102643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 + 13. What is the common denominator of -95\/18 and c\/9*109\/24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-7) - (-80)\/(-14). Let u be 34\/10 + h\/2. Let a(l) = 6*l - 85. Let c be a(14). What is the second smallest value in c, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(2800) + sqrt(2800)*-2 + 1 + sqrt(2800))**2 - ((-1 + sqrt(28))*4 - sqrt(140)\/(sqrt(35)\/sqrt(7))))*6.\nAnswer: -36*sqrt(7) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 - -37.76. Let k = -3.75837 + i. Round k to four decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.02 and 8449356527.\nAnswer: 8449356528.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 6*c**2 + 2*c + 12. Let u be h(-6). Let i(m) = m**3 - m**2 + 46. List the prime factors of i(u).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4053311 is divided by 440.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2. Let c(x) = 42*x**2 + 140*x + 70. Let m(h) = -h**2 - 4*h - 2. Let i(z) = c(z) + 35*m(z). Give -36*f(b) + 4*i(b).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 1311?\nAnswer: 1302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttrewretrtwetzwtte. What is prob of picking 2 e and 2 w?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13644469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - 12\/10 - (-32329894)\/(-530). What is l rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2984)\/2238)\/((-8)\/(-222))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (270\/(-36))\/(6\/(-88)) is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 divided by 2430?\nAnswer: 223\/810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 12 = -z. Suppose 5*c = -3 - z, -95 = -3*h + 4*c. Suppose -4 + h = 5*a. Put -2, a, -5 in ascending order.\nAnswer: -5, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24084116921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + 3482984?\nAnswer: 3482984.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 726 + -762 + 7 + 4\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 128+-6\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105642?\nAnswer: 2, 3, 5869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 77467 to the power of 1\/2, to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qmgqasgo. What is prob of sequence gga?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 161534 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 149356789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25 + -534.9144025.\nAnswer: -559.9144025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**3 + 1. Let c be z(1). Suppose 23*o - 25*o = 0. Suppose 4*x - 3*v + 1 + 19 = 0, 3*x - 5*v + 15 = o. Sort 0, 2, c, x in decreasing order.\nAnswer: c, 2, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 224 and 11.\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*q + 20 = 24*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (22\/6)\/((-92)\/(-12) + -8). What is the biggest value in -0.3, 0.1, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 210022 and 12802?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58 - -81. Calculate the highest common factor of q and 184.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4460 at most as big as -3.082?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -217*d**2. Let l(p) be the first derivative of -p**2 + 1337. Calculate h(l(r)).\nAnswer: -868*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-38\nAnswer: -11.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and 20433?\nAnswer: 20435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence do when two letters picked without replacement from odoodddododyoyydodd?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ymam when four letters picked without replacement from {a: 11, m: 3, x: 1, y: 1, p: 2}?\nAnswer: 11\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -22001120202?\nAnswer: -22001120121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 48925877071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69 + 30 - 46 + 226*x.\nAnswer: 226*x + 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15948 and 17720.\nAnswer: 159480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1486\/(-7410) + 13\/39. Let r = -2\/95 - j. Let d be 2\/(-6)*(-12)\/(-5). Put r, 4, d in ascending order.\nAnswer: d, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 191612, 383232, 574872, 766532?\n\"Answer: 10*y**2 + 191590*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1799 = -4*p - 501. Is 2\/9 + p\/(-45) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**3\/8 - 616*y**2 - 575635*y\/8 + 2135287\/4 = 0.\nAnswer: -121, 7, 5042","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 57, 136, 267, 462?\nAnswer: 733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 2592.\nAnswer: 12960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(1215) - sqrt(1215)*-1 - sqrt(1215))*-5)\/((sqrt(192) + 2*sqrt(192)*-1 + sqrt(192) + sqrt(192))*4).\nAnswer: -225*sqrt(5)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*a = 9, 4*q - 10 = 2*a + 4. Suppose -4*h + 65 = -3*y + q, -4*h = 3*y + 36. Let p(s) = -8*s + 63. What are the prime factors of p(y)?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/695 + -1408\/6255. What is the nearest to v in 3, -0.4, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660000 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/16 and (-21)\/(-54)*(-345)\/(-21).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2. Let s(q) = -118 + 1420*q + 118 - 1567*q. Calculate j(s(k)).\nAnswer: 43218*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.03211 (b) -0.321 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4387 is divided by 4365?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -4*g**2 - 1. Let q be j(1). Let a = -0.032 - -1.032. Let k = a - -1. Put q, -2\/5, k in descending order.\nAnswer: k, -2\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000045968047 to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.3892 to two decimal places.\nAnswer: 1.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 5, -4\/41, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 14, 4*o + 3*v = 4*v + 19. Solve 15 = -2*g - 91*t + 86*t, -o*t = -2*g + 25 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 to the power of 1\/2, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 359783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1175, 2480, 3779, 5072, 6359, 7640, 8915?\n\"Answer: -3*o**2 + 1314*o - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -28*12\/(-84)*(-1319)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 + 50. Calculate the remainder when 74 is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3145185 divided by -629037\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 3*f**2 + 5*f - 3. Let x be b(4). Let g be ((-1100)\/(-6))\/(x*(-1)\/300). What is g rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231448.2 < 0.18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15130263, -15130277, -15130293, -15130311, -15130331, -15130353, -15130377?\n\"Answer: -o**2 - 11*o - 15130251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 0.4, 1\/6, 2\/23, 2.193 in descending order.\nAnswer: 2.193, 0.4, 2\/7, 1\/6, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 34) + 18 - -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-45)\/(-30) - 2\/(-2). Let z = -4 - -9. Sort k, -2, z, -5 in increasing order.\nAnswer: -5, -2, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 55, 63, 3 in increasing order.\nAnswer: -5, 3, 55, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 + 1004*c + 25208.\nAnswer: -4*(c - 274)*(c + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3016635 and 857805.\nAnswer: 1245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -x + y, 26*y = 3*x + 31*y - 26 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 1 = 3*l + 4*k, -4*k = l - 8. Suppose 5*b + 2397 = l*b. What is the greatest common factor of b and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 1\/239528466?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 6*g**3 - 4*g**2 + 2*g + 1. Let p(r) = -548*r - 5982. What is the remainder when d(3) is divided by p(-11)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 94734825?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 5*z + 1. Let w(x) = 402 - 9*x - 202 - 202. Give -7*u(d) - 4*w(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*h**2 + 6*h**2 + 0 + 0 to w*h**2 + l*h + p and give w.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.833 times -0.2\nAnswer: 0.1666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -101*t. Let c(m) = -3*m - 25. Determine y(c(a)).\nAnswer: 303*a + 2525","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 298688 by -718.\nAnswer: -416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 85*f - 426. Let v be h(6). Suppose -15 = -3*u - 0*u. Suppose -u*r = -r - v. Solve -3*k - 22 = 5*w, -w - 4*w = 4*k + r for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1570 + 1578. Solve 4*t + 12 = 2*a, 0 = t + 3*a + 2*a - p for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/11 (b) 5 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -50*j**3\/3 - 30*j**2 + 98*j. Differentiate v(s) wrt s.\nAnswer: -100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 123.5 + -124. Let k = -1.28 - -0.28. What is the smallest value in -4\/7, k, -4, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1899 - -2061. Let t(d) = 6*d**3 - 3*d**2 - d + 2. Let l be t(2). Calculate the greatest common factor of l and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.5 in 0.3, 4, -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 17 - 5. Solve -b*v = -5*k + 16, 0 = 2*v + 5*k - 45 + 14 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11144815*m**4 - 7*m**3 - 6910*m - 4083?\nAnswer: -133737780*m**2 - 42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -529.84 - -520. Let g = f + 9.8. Which is the smallest value? (a) 0.4 (b) 5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1524, -2034, -2544, -3054, -3564?\nAnswer: -4074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s*s**(2\/13)))*s*s*s*s\/(s**2\/s*s)*s*s*s*s)\/((s**(3\/14)\/s)\/s**6) assuming s is positive.\nAnswer: s**(2537\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 6*o**2 - 11*o - 20. Let i be v(10). Let d = i - 180. Does 30 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8266 is divided by 212?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 358\/(-1790) + 19\/((-1330)\/(-4074))\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4991185 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 6*k + 5*k - 4)*(23*k - 15*k + 19*k)*(-3*k + 4*k - 4*k).\nAnswer: 162*k**3 + 324*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32 - 30*i + 32 + (2*i + i - 4*i)*(-2 + 2 + 5).\nAnswer: -35*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1278 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11052 and 356120.\nAnswer: 3205080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -41, 0.3, 5\/4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 10:55 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/5 - 4364*f**2\/5 + 451672*f + 134991792\/5.\nAnswer: 2*(f - 1118)**2*(f + 54)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 > 197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 52*p**2 + 225*p + 11. Let t be g(-4). Is 210\/37 at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 945202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*a - 3*k - 17, 2*k = 5*a - 19. Suppose a*t + 27 = 30. Suppose 0 = -5*c + 2*o - 20, 3*c + 5*o + 3 = 22. Sort c, t, -28 in increasing order.\nAnswer: -28, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 120 - 28*k**3 + 6*k**3 - 2*k + 14*k**3 to v*k**3 + r + f*k + b*k**2 and give r.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5811354 litres to millilitres.\nAnswer: 581.1354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 4*h**2 + 11*h - 2. Give j(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-4)\/o)\/o**(-4)*o**(2\/13)*o**(-2)\/o assuming o is positive.\nAnswer: o**(-37\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 63 and 156?\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of v**4 + 2*v**3 + 46792506*v**2 - 1606457*v + 14 wrt v.\nAnswer: 12*v**2 + 12*v + 93585012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + 23. Suppose -4*y + 8 = -0*y. Suppose -r = -2*h - 0*r + s, y*h - 3*r = 26. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3 = 0, -4*l + 8*l - 808 = 4*b. Let r = b + 410. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -748016, -748015, -748014, -748013, -748012?\nAnswer: -748011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4\/9)*q**(-4\/17))\/(q\/(q*q**28*q))**(-2\/13) assuming q is positive.\nAnswer: q**(-10226\/1989)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, 0.9, 1, 0.02, -13, -1.1?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4350543 less than or equal to -13\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 2028\/731?\nAnswer: 2028\/731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10b32e + -2?\nAnswer: 10b32c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -24, -47, -78?\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 36*i + 6*i**3 - 30*i + 5*i**2 - 5*i**3 + (-5*i + 2*i + 4*i)*(-3*i**2 - 2*i**2 + 4*i**2) + 12*i**2 - i**3 - 12*i**2.\nAnswer: -i**3 + 5*i**2 + 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 14 = -3*x. Let u(k) be the first derivative of 0*k - 1\/6*k**3 - 1 - 1\/4*k**x. Find b such that u(b) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*4\/((-24)\/(-2)))\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 9:49 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*r + 7*f - 3*f = -25*r - 7, f - 9 = -4*r + 5 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 11:16 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5292566 to the nearest integer?\nAnswer: 2301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144 and 598785552?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 146 = -2*w + 4*r, 75 = -4*w + 2*r + 171 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 299.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*p + 3*p + 14 = 0, 2*p - 4 = 0. Suppose v = r*v - 35. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 24440442?\nAnswer: -24440433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4643.943 - -4648. Let w = s + -3.55. What is w rounded to two dps?\nAnswer: 0.51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 230, 22, 3 in descending order.\nAnswer: 230, 22, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -518 or 0.0881?\nAnswer: 0.0881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 4237156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 2 - 0. Let v(b) = -b + 2 + 3 + 4*b**3 - 4 + b**n + 0*b**2. Determine v(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u**2 + 7*u + 2. Let h(m) = 3*m**2 - 9*m - 3. Determine 4*h(q) + 5*i(q).\nAnswer: -3*q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847) - 2*(sqrt(847) + sqrt(847) + 1)) + ((sqrt(847) - -1*sqrt(847)) + sqrt(847))*-5 + -2 + -5)**2.\nAnswer: 3564*sqrt(7) + 274509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 546802 is divided by 366?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 66652 (base 13) to base 12\nAnswer: 8b511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, 279, 1101, 2717, 5391, 9387?\nAnswer: 14969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-12))\/(6\/12*-1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.01 + -0.04. Put h, 4, -4, 2 in increasing order.\nAnswer: -4, h, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**2\/3 + 1034*b\/3 - 37544 = 0.\nAnswer: 156, 361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65.0248 - 65. Let r = l - 0.025513. Round r to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d. Let r(n) = 0 + 21*n - 4 + 4. Let y(t) = -14*c(t) - r(t). Let m(f) = -2*f. Calculate m(y(z)).\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -677859 divided by -7\nAnswer: 96837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -124, 6, -0.4 in descending order.\nAnswer: 6, -0.4, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 16*q. Let j(l) = 1415*l. Determine j(b(n)).\nAnswer: 22640*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + 20\/8 + -5)*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccceecccceececcccee. Give prob of sequence ee.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3016500 - -3?\nAnswer: 3016503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24793\/74361 + -2\/24787. Which is the nearest to -2\/3? (a) p (b) 5 (c) 123\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 17*y**3 + 6*y**2 - 9*y. Let o(q) = 33*q**3 + 11*q**2 - 17*q. Let k = 11 + 0. Let i(w) = k*b(w) - 6*o(w). Find the second derivative of i(d) wrt d.\nAnswer: -66*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1039440 and 995420?\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 3*t = -3*b - 3, -5*t = 2*b + 19 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from zzhzzzhhhhzzzhhzzzz.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-358)\/3)\/((-10)\/3000000). Round c to the nearest 1000000.\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.23 - -141.77. Let k = 141.5 - f. Let y = k - -0.72. Is y greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -215.5 - -213. Let w = 1.5 + g. Which is the nearest to -4? (a) w (b) 2\/9 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -1358 + 6511. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2657603 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 5*r**2 + 7*r. Let g be a(6). Let f(d) = d**3 - d**2 + d. Let x be f(2). Find the third derivative of -5*o**g + o**x + 4*o**2 + 8*o**6 wrt o.\nAnswer: 480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-4))\/(3\/(-12))*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vaaavvaaaaaaavaaaaa. Give prob of picking 2 a.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -142096923 divided by 243.\nAnswer: -584761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1133, -2221, -3233, -4133, -4885?\n\"Answer: 6*k**3 + 2*k**2 - 1136*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000030577 to 7 decimal places.\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 8:00 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/6, -5, -2\/23, -49?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.113007886 + -6.113. What is y rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 k, and 1 u when three letters picked without replacement from {u: 1, x: 4, c: 2, h: 3, p: 2, k: 8}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w**2 - 106*w + 4199. Calculate y(-60).\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -42256 - 23?\nAnswer: -42279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 z when two letters picked without replacement from {x: 2, q: 1, d: 1, z: 3, n: 3, t: 1}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 10557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 5*i + m, -2*i = -3*i - 3*m - 8 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -556.67702 + 567.677. Let b = 14 + -3. Let c = h - b. Round c to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - f - 4*d = 530, -2*f + 5*d = 179. Let v = 159 + f. List the prime factors of v.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -176 - -177.405. Let r = p - 1.3. What is r rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y**5\/5 - 88*y**4\/5 + 2*y**3 + 88*y**2\/5 - 24*y\/5 = 0 for y.\nAnswer: -1, 0, 2\/7, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 445605 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 441?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*n + 7 + 224 + 88 = -21. Let x = -2.02 + 0.02. Let l = x + 2. Which is the second smallest value? (a) -3 (b) n (c) l (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23.08 - -23.9. Let z = i - 5.82. What is the nearest to -1 in -1, -2\/9, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 - 1 + 1)*(-323 + 498 + 609).\nAnswer: 784*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -332324 - -110?\nAnswer: -332214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 2*w - 61 = 2*x, -4*w - 5*x = -29. Solve 2*q - 9 = f, -5*q = 5*f - q - w for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 1 + (1195 - 1222)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 5*f + 10, 3*f = 2*l - 0*f - 2. Suppose 3*z = l*z + 6*z. Solve 5*d - 15 = z, -b - 2*b - 3*d = -9 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4\/7, 1, -0.02, -0.18, 0.096, 2\/9, 3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of f**8\/141120 + f**7\/35280 - f**6\/2520 - 19*f**5\/60 + 22*f**2. Let l(t) be the third derivative of o(t). Factor l(s).\nAnswer: (s - 1)*(s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -2. Suppose 12*w = 2*w + 40. Suppose -w*q = -y + 1339992, -q + 2679996 = c*y - 3*q. Round y to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1513, 1479, 1439, 1393, 1341, 1283?\n\"Answer: -3*n**2 - 25*n + 1541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 256 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 3*g, -11 = 2*y - 3*g + 1. Let k = 7 + y. Suppose h - k*h + 5*u + 29 = 0, 4*h - 27 = -5*u. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -15 + -3 + -3 + -25 + 40 + -107.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + sqrt(847) + -2 + -1)**2.\nAnswer: -1726 + 176*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -74 + 73.6. Let o be 1\/(-3) - 4\/6. Which is the nearest to -2\/7? (a) z (b) o (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -10, 2, 1019, 0 in ascending order.\nAnswer: -10, 0, 2, 3, 1019","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5\/5*((-234)\/(-91))\/((-9)\/(-21))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 46*s + 1005. Let n be i(62). Solve 4*a + p = -n, 4*a - 4*p = -0*a + 12 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3265, 6496, 9745, 13012, 16297, 19600?\nAnswer: 22921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -494 divided by 15.\nAnswer: -494\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 264892422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-8)*f**(1\/5))**(-2\/5)\/((f**(-1\/3)*f)\/f**4)**(7\/2) assuming f is positive.\nAnswer: f**(1109\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*a**4 + 58*a - 4*a**3 - 96*a - 1 - 92*a**4 + 37*a in the form l*a + b*a**3 + m*a**4 + v*a**2 + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 99902217?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -7*u**2 - 7*u + 20. What is v(0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 131.50892 rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 1. Let p be 0 + 5 + c + -2. Suppose p*b - 14 - 90 = 0. Calculate the highest common divisor of 13 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4896931577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -30816 less than or equal to -30815?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + q**2 - q + 14. Let k(s) = -7 + 4*s**3 - 6*s**2 - 3*s**3 + 2 - 6*s. Calculate the smallest common multiple of k(7) and d(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.7 - -4. Suppose 0 = -3*o - 4*z - 39, 93*z + 30 = -3*o + 90*z. Which is the closest to 3? (a) o (b) v (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - (-19 + 10)) + 6 + 13 - 75?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13\/12 + -4\/3. Let u = -1067 - -1071. Let n = -472\/5 - -94. What is the closest to z in -3\/8, u, n?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*g**2 + 163*g**3 + 0 - 24 - 161*g**3 + 32*g = 0. What is g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 23. Let x = -15 + j. Let m be 2*(2\/24 - 0). Which is the smallest value? (a) x (b) m (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3312*x**2 - 14*x**3 - 2 - 3314*x**2 + 7 in the form g*x**3 + w + a*x**2 + q*x and give g.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -769, -1866, -2949, -4012, -5049, -6054, -7021, -7944?\n\"Answer: v**3 + v**2 - 1107*v + 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1846686 and 122.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*2)**2 + -2.\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20695.91nm to kilometers.\nAnswer: 0.00000002069591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w + 28. Let n be l(15). Let j(k) = -614*k - 9. Is j(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(224)*2*1)\/((sqrt(8) - (sqrt(288) + (sqrt(288) - sqrt(288)*2)))\/((sqrt(36) - 2*sqrt(36))\/sqrt(9))).\nAnswer: -24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - m - 62 = 0, -16 = -34*m + 32*m. Solve 3*s - 4*q = y, 6*s + 4*q + 30 = s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l - 76. Determine r(46).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 15*w + 2. Let x(k) = 31*k + 4. Give 6*x(s) - 13*z(s).\nAnswer: -9*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 24 = -94. Suppose 6 = -4*k + 50. What is the remainder when 4\/7 + 272\/q is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 1 = 0, 2*n - 4*r - 6 = -0. Let i be (-11)\/(-4) - n\/(-4). Solve -4 = -y - i for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 108607?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*s = 4*d + 63, s + 4 = 0. Which is smaller: d or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16586950 to the power of 1\/3, to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 7*r**2 + 9*r - 10. Suppose 5*a - 1 = -2*p + p, 33 = 5*p - 3*a. Let b be l(p). Let m be (-12)\/((-2)\/b + 4). Which is smaller: -4 or m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, i: 1, r: 4, d: 2, h: 1}. Give prob of picking 2 d and 1 v.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/(-33)*-2*18\/(-10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*j - 5*y + 491 = 106*j, 4*j + 2*y = 2018. What is the lowest common multiple of 92 and j?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -150, -388, -720, -1146, -1666, -2280?\nAnswer: -2988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 131599 to the power of 1\/2, to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -250865\/34 + 7379. Let p = -74\/51 + l. Let z = -3\/4 - p. What is the common denominator of z and 19\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -16.59, -25.81, -14?\nAnswer: -25.81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20\/7*g + 50\/7 + 2\/7*g**2.\nAnswer: 2*(g - 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + o + 3662 = w, 0 = w - 5*o - 742. What is the hundreds digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-14) + (-12)\/21. Suppose -5*c = 5*m + 240, 2*c - 3*m + 118 = 27. Let z = c + 44. Put i, z, 4 in increasing order.\nAnswer: z, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 13*b - 10. Let g be l(14). Let n be (-10)\/(-3) + g\/(-12). Find the third derivative of -j**5 - n*j**2 - 3*j**5 + 2*j**5 + 8*j**5 wrt j.\nAnswer: 360*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41142725, -82285451, -123428177, -164570903?\nAnswer: -205713629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -0*o + 275. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 t when three letters picked without replacement from {t: 3, m: 3, o: 1}?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9603?\nAnswer: 3, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -68200 or 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -35376705 divided by -5705\nAnswer: 6201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/10, -45, 4, 21?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001067 rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 4*a - 44, 2*a - 70 = -5*v - 3*a. Let u(p) = -13 - v + 25 + 7*p. Let w(x) = 2*x**2. Calculate u(w(k)).\nAnswer: 14*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4285*y + 2562*y - 424160 = 1545*y for y.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of i**5\/20 + i**4\/12 - i**3\/6 + i**2\/2 - 2*i. Let v be t(0). Let g = v + 4. What is the second smallest value in 2, -3, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*o - 5*p = -119*o - 6, 3*o + p + 6 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -10*v + 11. Let a(h) = -h. Let n(r) = 18*a(r) - 2*l(r). Let q be n(13). Solve 2*w + 1 + 2 = u, 0 = 2*u + q*w + 26 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/13))**(-11)*((a*(a**(-11)\/a)\/a)\/a)\/(a**(-1)\/a) assuming a is positive.\nAnswer: a**(-165\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95)\/sqrt(5) + 1 + sqrt(19) - sqrt(57)\/(sqrt(3) + sqrt(9)\/sqrt(3)) - -4*-6*(1*sqrt(190))\/sqrt(10))*-5)**2.\nAnswer: -1125*sqrt(19) + 961975\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o = 10 + 80. Let l(w) = -w**3 - 6*w**2 - 4*w + 4. Calculate the remainder when l(-6) is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 23*u**2 - 22*u + 55. Calculate f(-24).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1731 + -2?\nAnswer: -1733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-38)\/8)\/((-383)\/1532) - (-1771)\/(-99).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-38)\/(-57) - 5734\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s**2 + 4*s. Let f(j) = 61*j**2 + 8*j - 2. Calculate 2*c(p) - f(p).\nAnswer: -67*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kxl when three letters picked without replacement from {l: 4, k: 2, x: 2, n: 1}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 6 = -h. Let t = h - -31. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 38*f**2 - 354*f - 24. Let y be c(21). What is the greatest common divisor of y and 481?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5461436.4 days in weeks?\nAnswer: 780205.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 15 = 3*k - 24, 0 = -k + 3*t + 24. Let i = k + -15. Determine o so that -2\/7*o**5 - 10\/7*o**3 + i + 0*o + 4\/7*o**2 + 8\/7*o**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 + 4*a**2 + 4*a**2.\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6456 times 3?\nAnswer: -1.9368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -5*m**2 - 649*m + 647. What is o(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -17. What is the nearest to -1 in 0, r, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -c + 13. Let v(h) be the first derivative of 2\/25*h**c - 2\/15*h**3 + 0*h - 1\/10*h**4 - 4 + 1\/5*h**2. What is o in v(o) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37 - -81. Let g = h + -40. What is the closest to 0.2 in 3, g, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27627668*r**3 - 2 + 2 - 27627664*r**3.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 + 15. Let l = -14 - b. What is the remainder when 11 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(343\/(-28)) - 25\/7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 0 (c) 0.2 (d) -9\/8 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 137d2a9 (base 15) in base 11?\nAnswer: 7a39226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 - 87 = -5*i + 29 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 11:23 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -2, 3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 238151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 13*f + 32. What is the remainder when 16 is divided by n(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (15 - -4)) + (16 - (49 + -11 - 18))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-13\/2)\/((a*a*a\/(a*a**(-16)))\/a*a))\/(a\/(a\/(a*a**7*a))*a*a**(1\/12)*a) assuming a is positive.\nAnswer: a**(-427\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -1 - (31 - 28)) + 6 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((-2)\/8) + 0 + 23. Suppose -37*w + f*w + 70 = 0. Solve -w - 8 = -3*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -0.1 (c) -3\/2 (d) -11.77 (e) -2\/5 (f) 27 (g) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16.52 - 16.50759. Round i to 3 decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53760 and 75164160?\nAnswer: 7680","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -26929 (b) 0.4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/1166830 and -151\/62308722.\nAnswer: 311543610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -1109*h**2 - 18*h - 7. Let y(c) = 2220*c**2 + 39*c + 13. Let b(w) = -5*s(w) - 3*y(w). Find the second derivative of b(d) wrt d.\nAnswer: -2230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -1\/4 (b) -5 (c) -115\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x - 7. What is g(-6)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 13*b - 45. Let v be t(-3). Let y = 3 - 0. Suppose v*z = 2*q - 71 - 25, -y*q - 4*z = -161. Is 17 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b + 17*b + 845 = 0. Let s = b - 169. Solve s*y + 6*y = 18 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 14. Let n = -16 + 16.1. Let f = 1136 + -1133. What is the third smallest value in n, r, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -14. Suppose 7 + 1 = p*z. Suppose -z = -w + 3. What is the biggest value in w, -1, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-13))**(4\/3) assuming o is positive.\nAnswer: o**(-52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243*b + 585 = 308*b for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q**3 - 45*q**2 - 101*q + 1508. Give u(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40002918 and 162.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/3 - 244*x**2 - 1472*x\/3.\nAnswer: 2*x*(x - 368)*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 49191994 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7572903, -7572905, -7572917, -7572945, -7572995?\n\"Answer: -p**3 + p**2 + 2*p - 7572905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 106 (base 13) to base 15\nAnswer: ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 113 = -715. Let v = -160 + m. What are the prime factors of v?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 5*a**2 - 3*a - 6. Let d(n) = 4*n**2 - 2*n - 5. Let l = -10 - -15. Suppose 86*z - 8 = 88*z, 0 = -4*p - z - 28. Give l*m(t) + p*d(t).\nAnswer: t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007159 rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1365802 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*y - 1035 + 11*y - 797 + 276 to the form c + x*y and give c.\nAnswer: -1556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 175 = 1727. Suppose 321*c - y*c = -4. Let s(b) = -b**3 - 1. Let l(w) = 6*w**3 + w**2 + 1. Calculate c*l(m) - 2*s(m).\nAnswer: -4*m**3 - m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 1)*(1 + 4). Let b(s) = s - 2. Let d be b(p). Suppose 2*o - d = o. What is the closest to -1\/2 in -2\/19, o, -5\/2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 9. Suppose l*g - 6 = 0, -3*b - 3 = -4*g - 1. Let u(a) = -3*a**b - 7*a + 2*a**2 - 6 + 0*a**2. Give u(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 5:30 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**2 - 2*r**2 - r**2 - r**2 + 3 - 3 + (2 - 2 - r)*(0*r - r + 3*r) - 78*r**2 + 11*r**2 - 43*r**2 + 17*r**2.\nAnswer: -98*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9954671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 6*g**2 - 8*g - 4. Let i be j(-2). Solve 41*h = i*h - 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 366\/8601 + 6\/((-116466)\/497)?\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/6*x**2 - 693\/2*x + 1040\/3.\nAnswer: -(x - 1)*(x + 2080)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 - -20. Which is the closest to 0? (a) -2 (b) 5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4*q + 25 = 31, -d - 3*q = -10. Let r(m) = -9*m - 5. Determine r(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 6:08 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 14 - 2 = 0. Let t(b) = 2*b**2 + 4 - 5*b**3 + 4*b**3 - o + b. What is the units digit of t(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10\/24141 + 5142853\/1979562. Let q = y - 4\/41. Let k be 9\/6 - (2 - 0). Which is the second biggest value? (a) k (b) -1\/5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 6 = 0, 10 = 2*t - p - 4. Solve 20*w**4 + 0 + 50\/3*w**5 + 8\/3*w - 22\/3*w**3 - t*w**2 = 0 for w.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 0.92 (c) -0.4 (d) -0.1 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 54\/5? (a) 7 (b) -1 (c) -3 (d) -2193\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4 + 1)*786184\/(-2121) is divided by 540?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - -2. Let b = -146.3 + 21.3. Let s = b - -122. Sort f, -5, s.\nAnswer: -5, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18203536.\nAnswer: 2, 13, 87517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/3)\/(((-2)\/46)\/(-1))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 2:08 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4920 divided by 24\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -127*s**2\/2 + 89*s - 51. Is n(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87820.\nAnswer: 2, 5, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 1 (c) 0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**3 + 2*u**4 - u**3 + (-4*u**3 + 2*u**3 + 0*u**3)*(-1 + 1 - 2*u) + 8*u**4 - 7*u**4 + 11*u**4)*(3*u - 2 + 2).\nAnswer: 54*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -429.2, 4, -3\/7, -0.4, 2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*t = 228*t - 9350. Solve -23*c + 216 = t for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-11)*4*(-8)\/16?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 545348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of o + 17*o**4 + 383*o**5 - 33*o**4 + 16*o**4 + 609*o**5 + 415*o**2 wrt o?\nAnswer: 59520*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -5, -317, 2, -14, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1029853742?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -87743\/12 - -7305. Find the common denominator of o and 0 + 11\/792*-92.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16758843.\nAnswer: 3, 5586281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2*o + 3*o**3 - 4*o**3 + 8*o**3 as t*o + f*o**2 + p*o**3 + w and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 10*u**2 + 12*u + 23. Give f(9).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -5*p**6\/2 - 11*p**5\/3 - 5*p**4\/6 + 1201. Suppose y(h) = 0. What is h?\nAnswer: -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ugg when three letters picked without replacement from gxzxxunxgxg?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13363 is divided by 785?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*r - 5 = 2*w, 0 = 2*w - 2*r + 2. Let y(l) = l**3 + 2. Let o be y(w). Solve 4 = n - o*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5282?\nAnswer: 2, 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 + 45. Let d = -33 - -33. Let q = -9.1 - 2.9. What is the smallest value in m, d, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 + 38. Suppose -c*s = -7*s - 102. Solve 3*m - z = 2*z + 3, m - s = 5*z for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -27 from -325021.\nAnswer: -324994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-33*p - 23*p + 8*p)*(-p**3 + 7*p**3 - 3*p**3) in the form s*p**4 + u*p**3 + i*p + b + q*p**2 and give s.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (1 - (1 - (-1 + -1)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3918\/461 - -1\/922. Calculate the common denominator of a and 5\/116.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, v: 1, y: 6, u: 7}. What is prob of sequence qqu?\nAnswer: 70\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 21243247724.\nAnswer: -21243247720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -160019909 and 0.2?\nAnswer: -32003981.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 9*i**2 - 2*i - 6. Let o be k(-9). What is p in -4*p**4 - 2*p**5 - 8*p + 4*p**2 - 5*p**5 + 0*p**4 + 3*p**5 + o*p**3 = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 0.2 (c) 0.5 (d) 5.55 (e) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5940917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -4*i + 1. Let m(r) = -3*r + 4. Let w be m(3). Let x be y(w). Suppose 2*n + 4*o + 5 = x, 2*n = o + 1. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3*g = 2*s + 188, 4*g - 189 = 5*s. Let t be (0 + 2)\/(6\/(-69)). Let r = t - s. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12.43 - -48\nAnswer: 35.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 98, -2\/3, -4, 2\/13 in decreasing order.\nAnswer: 98, 2\/13, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3450 and 102?\nAnswer: 58650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9 (b) -20 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*1 + 3\/(-21)*0. Solve -2 = -5*u + 4*w + 2, u - 2*w - z = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/8970386 and 50\/21.\nAnswer: 188378106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 896 and 7329952.\nAnswer: 29319808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ijjqjjuiqujjjjii. Give prob of sequence uj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/((-585)\/108)*(-6)\/(-9)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fyyt when four letters picked without replacement from {y: 2, t: 4, q: 1, f: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*n**2 - 29365716*n + 192371971.\nAnswer: -4*n - 29365716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 12. Suppose -57 = -4*v - j, -3*v - 5*j - 40 = -r*v. Suppose -4*b + v = -3*b. What are the prime factors of b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -0.056.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 51?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -134215 divided by -5?\nAnswer: 26843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 5*l - 4 = -6, 2*l = 5*g - 19. Suppose 4*m - 4 = 0, 0 = -g*o + m - 4 + 3. Suppose o = -2*f + 10 + 12. Is 2 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**6*l**(2\/13)*l*l)**(-44)\/((l**4*l*l)**(-47))**(-2\/19) assuming l is positive.\nAnswer: l**(-117684\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -2*p + 6, p + p - 5*h = 3. Let x be p\/22 - 1374\/(-66). Let t = -6 + x. What is the remainder when t is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y - 9. Let i be p(-20). What is the third derivative of -i*x**6 - x**6 + x**2 + x**6 wrt x?\nAnswer: -1320*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qjq when three letters picked without replacement from jqjjjffqfj?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (0 + -2)\/2. Suppose 5*z + 20 = 3*q, -z - 5 + o = -5*q. Is q less than or equal to -5\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.669807095 + -0.6963696. Let l = -14.026561865 - y. Let n = -14 - l. Round n to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -1\/2, 9.78, 0.07?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*i - 0. Suppose 0*l + i*j = -3*l + 89, -3*l = 4*j - 79. Calculate the highest common divisor of l and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4463.999968952 - 4464. What is g rounded to 7 decimal places?\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 177493881?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*h = -5*h - 54. Suppose h*p = -a + 878, -3*a - 2*p = -0*p - 2627. List the prime factors of a.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -s - 18 - 1, 57 = -3*s - q. Let h be (0 + (-9)\/(-2))\/(9\/12). Let u = h - s. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-5)\/7 - 16\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 445953 and 1677.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.02 (b) -129 (c) 4 (d) -32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from ffffhfhffhfffhfffhff?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2007, -3850, -5701, -7566, -9451, -11362, -13305?\n\"Answer: -z**3 + 2*z**2 - 1842*z - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3641*a**6*h + 3*a**2*h + 2*a**2 - 31*a*h wrt a.\nAnswer: 436920*a**3*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -35*m**2*w + 17*m**2 - 5*m*w - 4425*m - 898*w + 419 wrt m?\nAnswer: -70*m*w + 34*m - 5*w - 4425","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/18*-1*((-684)\/(-174))\/19?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -4\/5*z**3 + 0 + 8\/5*z**4 - 24\/5*z**2 + 18\/5*z + 2\/5*z**5 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 30 + 285 = 0. Suppose 53*x - 32 = u*x. Solve -3*y + 2*v = -3*v + 32, -v = -x for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 2525, -2\/9, 4, 17\/3 in decreasing order.\nAnswer: 2525, 17\/3, 4, -2\/9, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 8.07\nAnswer: 32.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/(sqrt(10) + sqrt(90)\/(sqrt(441) - sqrt(9))).\nAnswer: 6*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 49638.88 weeks in seconds?\nAnswer: 30021594624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47040.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 31*m**2 - 170*m + 51. Let n be o(24). Sort n, -1, 4, -171, 2 in ascending order.\nAnswer: -171, -1, 2, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - r - 2)*(0 + 0 + r)*(2*r**2 - 3 + 3) + 0*r + 3*r**4 + 0*r in the form j*r**2 + d*r + s*r**3 + t + l*r**4 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vf when two letters picked without replacement from {f: 2, v: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/49*112*5\/160 - 6\/(-28).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of 185\/12*m**4 + 93\/10*m**5 + 0 + 0*m**3 + 0*m**2 + 82*m. Find the third derivative of v(j) wrt j.\nAnswer: 1116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qfqq when four letters picked without replacement from qqfqfq?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 3:45 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -12 + 5*s - 7 - 4*s. Let o be n(21). Suppose o*t + 5*z - 12 = 3*t, 25 = -3*t + 4*z. Let j(m) = m**2 + 7*m - 6. Give j(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -83, 5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -16059.0703066 - -0.1\nAnswer: -16058.9703066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*0.1272.\nAnswer: 0.5088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4900 and 323225.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -433 - 0.034.\nAnswer: -433.034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 5. Let j = 394.4 - 394. Let z = 1562\/35 + -226\/5. What is the second biggest value in j, n, z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -9*i - 7. Let w(q) = 5*q + 4. Let x(s) = -3*n(s) - 5*w(s). Let y(g) = -g + 12. Let k be y(5). Is x(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*p = -20*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -2*a - 11*a. What is the closest to 0.1 in -4, a, -0.05, -2?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.11507 + -15.98793. Let v = w + 17.81. Round v to 2 dps.\nAnswer: 1.71","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -71 - -44. Suppose 2*p - 23 = 69. Let o = p + d. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(95) - (2*sqrt(95)*-2 - sqrt(95))))\/(-4*-3*-2*sqrt(5)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) 5 (b) 2236 (c) 0 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102191756?\nAnswer: 2, 25547939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/k**9)\/k)\/k*k\/(k**(5\/6)\/k))\/(k\/((k**(2\/3)\/k)\/k)*k\/(k*k**(2\/3))*k))**(-1\/16) assuming k is positive.\nAnswer: k**(23\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2992906 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5af + 1?\nAnswer: -5ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 59. Suppose r = -3*r + 3*w + 48, -4*w = -4*r + i. Let g = r + -4. Does 5 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 g when two letters picked without replacement from {y: 2, g: 4}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a + 4. Let r be z(2). Let v(t) = 1 - 2*t**2 + 2*t**2 + 6*t**r. Is v(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -1 (c) 648.6 (d) -0.08 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -5*v - 10, -4*v + 5*v = -5*a + 10. Suppose 5*l - 396 - 9 = v. Calculate the greatest common divisor of 9 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6120 = -11*a + 17*a. Suppose -9*y = -4*s - 6*y + a, 3*y = -3*s + 765. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -7*p**3\/3 - 4. Suppose 7*z = -5 + 19. Let h(b) = 1 + z + 3*b**2 - 3. Calculate t(h(q)).\nAnswer: -63*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 38756 (b) 3 (c) -3\/7 (d) 317\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4\/3 - 499*o**3\/3 - 5644*o**2 - 10620*o.\nAnswer: o*(o - 531)*(o + 2)*(o + 30)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -20. Let g(y) = -19*y**2 - 3*y + 9. Let l(m) = 10*m**2 - 5. Let c(i) = 3*g(i) + 5*l(i). Let h(p) = 4*p**2 + 5*p - 1. What is n*c(r) + 11*h(r)?\nAnswer: 2*r**2 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3.464713t?\nAnswer: 3464.713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -96 + 91. Sort -1, -20, -2, q in descending order.\nAnswer: -1, -2, q, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of 7*f**4\/6 + f**3\/3 + f**2 - 12*f - 66. Determine t(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -881.064174 rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23\/(2392\/39))\/((-63)\/12).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a + 2. Let v be 2\/((-5)\/(-2) + -2). Let f be 0\/(-2) - 12\/v. Let y(j) = j - 1. Calculate f*y(s) - 2*m(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13239 and -807?\nAnswer: 10683873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7b + 38ac?\nAnswer: 3831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13808.46 - -93.\nAnswer: -13715.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, d: 2, g: 1, s: 1, j: 1}. Give prob of sequence dksj.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 68020 divided by 17005\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h. Let d(n) = -6328*n - 251. Give w(d(t)).\nAnswer: -12656*t - 502","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-1)\/((p*p**2)\/p))\/(p\/(p**(-1\/2)*p)*p**(-1\/11)*p))**(-42))**(-20) assuming p is positive.\nAnswer: p**(-40740\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -627b (base 13) to base 5\nAnswer: -413442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*d**2 + 80*d**2 + 730*d + 2188 + 132.\nAnswer: 5*(d + 8)*(11*d + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g + 4. Let p(t) be the first derivative of 3*t**2\/2 + 6*t - 11. Let r(k) = -k - 16. Let j be r(-11). Give j*p(o) + 7*v(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/(-6) + (-28)\/(-12) + -2. Let 18*p**3 + 12977*p**2 - i*p**4 - 12950*p**2 + 6*p**4 + 12*p = 0. Calculate p.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54946559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 9. Let v = 11444 - 11444. Solve g*u = -v*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 208 = -4*g, 0 = -0*g - 2*g - 4. Let v = -54 - a. Solve -2*y = -5*o - 29, 3*y + v*y + 9 = -3*o for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2901 - 2647. What is the remainder when k is divided by 129?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**3\/6 + 49*j**2\/2 + 75*j = 0.\nAnswer: -3, 0, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219929 is divided by 2210.\nAnswer: 1139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14006 + 81888. List the prime factors of f.\nAnswer: 2, 33941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 40, 128, 276, 484?\n\"Answer: 30*k**2 - 2*k + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, i: 5}. What is prob of picking 2 i?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x**4 + 70*x**3 - 2*x - 21. Let v(u) = -3*u**4 - 72*u**3 + 3*u + 22. Let y(p) = -4*i(p) - 3*v(p). Find the second derivative of y(a) wrt a.\nAnswer: -36*a**2 - 384*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/43 (b) -1\/4 (c) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 204623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3e7 (base 16) in base 10?\nAnswer: -999","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -34771589 greater than -34771590?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 20 (b) -0.5 (c) -1611\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-596.08\nAnswer: 298.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 2*t**4 - t**3 - 4. Find the third derivative of n(z) wrt z.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1160 rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -w + 1293, 4*i + 44*w = 46*w + 1278. Is 23 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g + 2*g + 3*g)*(193*g**2 + 304*g**2 - 40*g**2 + 2*g**3) + g**4 - g**4 - g**4 in the form z*g + k + v*g**4 + b*g**2 + q*g**3 and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -20*b**4 - 7*b**3 - 7*b**2 + 22*b. Let i(d) = 7*d**4 + 2*d**3 + 2*d**2 - 7*d. Let t(r) = -2*c(r) - 7*i(r). Find the second derivative of t(q) wrt q.\nAnswer: -108*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c3b + -55?\nAnswer: -1c93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*i - f - 68, -2*i = f - 39. Let c be 78\/(-1)*3\/(-6). Let h be 7716\/c - (-6)\/39. Calculate the greatest common divisor of h and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 12) to base 2.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -2\/85, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5279, 4, 2\/13, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/1164 and 89\/836718?\nAnswer: 162323292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5190.\nAnswer: 2, 3, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + f - 3*z = 18, 5*f - 10 = -z. Suppose -52 = -3*r - 2*w, r + 0*r - f*w = 10. Calculate the remainder when 46 is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**5 - 11054130*k**4 + 13576929337872*k**3 - 5558236459789638366*k**2 - 239029272392191145379*k.\nAnswer: 3*k*(k - 1228251)**3*(k + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 138 + -105. Let z = -30 + d. Solve -g + 4 = z for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, t: 1, i: 1, c: 7, d: 4}. Give prob of picking 3 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*o**2 - 855*o + 23358 with respect to o.\nAnswer: -34*o - 855","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of o**4\/4 - 25*o**3\/3 + 21*o**2 + 90*o + 2816. What is b(23)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.80677cm to meters.\nAnswer: 0.5880677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 278636 to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 9*r**2 - 4*r + 2. Let y(m) = 17*m**2 - 7*m + 4. Determine -5*l(z) + 3*y(z).\nAnswer: 6*z**2 - z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*a - 5*i + i, -5*a - 4*i = -35. Suppose -5*m + c = -135, 2*m + 13 = 3*m - a*c. Calculate the lowest common multiple of 100\/35*(952\/16)\/17 and m.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21443102 to the power of 1\/3, to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-2)\/q*q*q)\/q)\/q)\/(q*(q**(2\/11)\/q)\/q)*((q*q**(-1\/4))\/q)\/q**(1\/3)*(q**(1\/2))**28*(q*q*q\/q**(2\/7))**(-8) assuming q is positive.\nAnswer: q**(-8759\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10186000 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.151, -0.575, -224, 1\/3 in ascending order.\nAnswer: -224, -0.575, -0.151, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2\/5 - 2426574*c\/5 + 2426571\/5.\nAnswer: 3*(c - 808857)*(c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -7. Suppose 2*r = -j*q + 4, 2*q + 4 = -0. Suppose y = r*y - 80. Is 13 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) 2 (c) 33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 57975, 231836, 521579, 927204, 1448711?\n\"Answer: 57941*q**2 + 38*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 18 = 3*s. Suppose 3*d - 54*d = 0. Solve d = -n + s for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 + 32 + -21 + 6 - -79?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pnpp. Give prob of picking 3 p.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 783.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 2:11 PM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(6\/(-4)*((-104)\/12)\/(-13))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 2*y**3 + 27668*y - 27668*y + 11.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t - 3. Let s(x) = x**3 + 7*x**2 + 3*x - 2. Let c be s(-4). Suppose c = 3*k - 2*k. Calculate the smallest common multiple of q(7) and k.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/9681145 and 67\/9.\nAnswer: 87130305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -79*i**2 + 2*i - 800 wrt i?\nAnswer: -158*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o + 10. Let z be 5\/(45\/51) + (-4)\/6. Let d be t(z). Let a(h) = -29*h - 3. List the prime factors of a(d).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*h + 7621*h**3 - 7575*h**3 + 78*h.\nAnswer: 46*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*j - 10, -6*i = 5*j - 8*i + 10. Suppose j = -99*m + 100*m + 4. Which is the closest to 29? (a) m (b) 0.5 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 2*f**5\/25 - f**4\/10 + 2. Factor g(q).\nAnswer: 2*q**3*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 21, -3, 5?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -3*g - 51, 0*g = -5*g - 15. Find the second derivative of 19 - 79*m - 2*m**4 + u*m**2 + 162*m - 80*m - 2 wrt m.\nAnswer: -24*m**2 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g + 1. Let j(x) = 8*x + 10. Let r(s) = 3*s**2 + 18*s**3 + 4*s**2 - 19*s**3 + s + 3. Let i be r(7). What is i*v(a) - j(a)?\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5682 + 4029 = 13*j - 780. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(120\/(-36))*-1. Solve l*h + 2*d + 10 = -9, 3*h + 3*d + 21 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 132\/(-33)*(-10)\/8. Solve -3*u - 5*k = m, 42*k - 40*k = -5*u + 17 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) 3\/2 (b) 0.1 (c) -3\/4 (d) 12\/1039\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, b: 2, i: 2, a: 1, o: 1}. Give prob of picking 1 o, 2 i, and 1 a.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6451 + 47765 = 114*y + 1392*y for y.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + w - 16 = 0. Let d(b) = 3*b + 1. Let r(o) = -4*o. Let i(l) = w*r(l) + 5*d(l). Suppose -8*m - 1445 = -1445. Calculate i(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c\/c**(-1\/4)))**(-50)\/(c**1)**20)**39 assuming c is positive.\nAnswer: c**(3315\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.00571694 + -0.006157. What is d rounded to five dps?\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/173664 and 103\/594.\nAnswer: 1910304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49031.\nAnswer: 49031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15742 and 31484.\nAnswer: 31484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30062995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.99 + -0.01. Let r = -5.08 - -5. Let v = r + 5.08. Which is the closest to i? (a) 5\/3 (b) v (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 31779403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of 101*o**2 + 2\/3*o**3 - 1\/8*o**4 + 0 + 0*o. Give p(8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 21, 44, 93, 180, 317?\n\"Answer: 2*b**3 + b**2 + 6*b + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18708, 39680, 60652?\nAnswer: 81624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-759)\/(-230))\/(543\/9050).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -127*p**4 - p*s**3 - s**3 + 43*s**2 wrt p.\nAnswer: -508*p**3 - s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -59608 divided by 2117?\nAnswer: -59608\/2117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-6) - 5\/(-3). Suppose -d = -2*s + 3. Suppose 4*b + 9 - 6*b**2 + 2*b**s - 1 = 0. Calculate b.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/3)\/(1\/(48\/160*-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of 14 - 5\/3*s**3 + 1\/2*s + 5\/4*s**4 - 1\/4*s**2 - 3\/4*s**6 + 9\/10*s**5. Find d such that q(d) = 0.\nAnswer: -1, -1\/3, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((5\/60*-6)\/(-3 - -4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 9:47 PM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 18 = -6. Let h be 16 + y + -1*6. Let c = h + -13. Put 4, 2, c in descending order.\nAnswer: 4, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 + -7. Let s = j - -40. Suppose 3*f + f = -s. Is -3 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1 + 1*sqrt(5) + 2 + -1.\nAnswer: sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**2 + 0 + 0 + (n + 2*n - n)*(2 - 2 - n) + 0*n - n**2 + 0*n + 4*n**2 + 3*n**2 - 10*n**2.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4408*v**2 - 6*v + 466473?\nAnswer: -8816*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/12*2)\/(4\/(-42)). Let t be ((-63)\/49 - -1) + 23\/u. Solve -t*f + 7 = -5 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49740 by -9948.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 32\/6 + 2 + (-1)\/3. Solve -3*n = z + g, 0*n - n - 3*z = 13 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.2 and -2189947599.\nAnswer: -2189947597.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/8 - 109*i**3\/4 + 8207*i**2\/8 - 3995*i\/4.\nAnswer: i*(i - 170)*(i - 47)*(i - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2 - 16 = -3*v, -4*v + 9 = 3*r. Let z(j) = -2812*j**3 + j**2 - 2. Is z(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -11*y + 14. Let m be (-136)\/40 - (-4)\/10. Let i(w) = 4*w - 5. Give m*p(s) - 8*i(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 25 = -6*f. Let p(k) = k**2 - 6*k - 10. Calculate the least common multiple of f and p(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 11 + 0 - 10*y - 5*y + 0. Let n be w(-8). Suppose g - 66 - n = 0. Round g to the nearest 10.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/2 - 2\/4. Let m(s) = 3*s + 1. Give m(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 185, 108, -113, -550, -1275, -2360, -3877, -5898?\n\"Answer: -12*l**3 + 7*l + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**28\/r)**(-7) assuming r is positive.\nAnswer: r**(-189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3742 = 1274*f - 5176 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8381, 65262, 219619, 520190, 1015713, 1754926, 2786567, 4159374?\n\"Answer: 8123*i**3 + 20*i + 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4028 rounded to the nearest 100?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -7*k + 18. Let n be w(2). Let u be (5 - (11 - 6)) + n. Solve -u*m + 4 = -6*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/103 in -0.08, -1, 5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, -4\/5, 0.177, -1\/206, 0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 13724 and -50420748.\nAnswer: -50407024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 - 11615*d - 46540.\nAnswer: 5*(d - 2327)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58280808 - -0.23.\nAnswer: 58280808.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 4*r**2 - 4*r - 4. Let p be u(-4). Suppose -311 = 29*d - 1181. Calculate the remainder when (14\/(-35) - (-232)\/d)*p is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -464929 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 + -39. Let f be (n - 39\/(-9)) + (-880)\/(-6). Let v = 246 - f. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - -1)*-24 + 3. Let t be 368\/14 + 6\/o. Is 11 a factor of -1*((-6)\/3 - t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3372691333.\nAnswer: 11, 306608303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - (3\/(-2 - -5) - -2). Solve 3*y + 30 - 27 = s for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 14669665 and -188359?\nAnswer: 14858024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -165, -370, -715, -1206, -1849, -2650, -3615, -4750?\n\"Answer: -c**3 - 64*c**2 - 6*c - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4320, 1, 5, 44.\nAnswer: -4, 1, 5, 44, 4320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 10*n**3 + n**2 - 9*n + 5. Is s(2) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - o + 0*o + (-3 + 0 + 2)*(0*o + 4*o - 6*o))*(-o**2 + 11 - 11) + 3*o**3 + o**3 + 0*o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -65.3 - -62. Let i = l - -3.4. Which is the nearest to 0.1? (a) 1\/2 (b) 5\/3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -686 + 247. Let v = r + 480. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1377) + 0 + (sqrt(17) - sqrt(85)\/sqrt(20)) + sqrt(51)\/(2*sqrt(3)) + (sqrt(2448) - sqrt(2448)*1) + -2))**2.\nAnswer: -1440*sqrt(17) + 61344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 40 = 5*v. Let l be v\/4 + (318\/(-128) - -4). Let z = -131\/192 + l. Which is the closest to -2? (a) z (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6 = -k, 7*b - 12 = 4*b. Suppose 2*u**2 + u**2 + k - 2*u**2 + 3*u = 0. Calculate u.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -40 + 4aab72?\nAnswer: 4aab32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 = o + 116 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -15. Let l = -15 - -13. What is the closest to -1 in n, 4\/7, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -177128703*l**3 + 117604949*l**2.\nAnswer: -1062772218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.06 - -2.06. Let k = 29 - 27. Suppose k*s = -2*w - s + 11, 5*w - 4*s + 30 = 0. Which is the closest to w? (a) n (b) 0.6 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4524153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -42, -90, -138, -186?\n\"Answer: -48*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.12 and 0.471029?\nAnswer: 0.591029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of o**4\/48 - o**3\/12 - 16*o. Determine y so that s(y) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -9868.\nAnswer: -1\/9868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 6 = 0, 12*y = 4*j + 8*y. Let k = 56 + -35. Suppose -k = 4*s - 5. Which is smaller: s or j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 744 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1428537 + 254?\nAnswer: 1428802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 6*a**2 + 7*a - 4. Let x be y(5). Let j be (-68)\/x - (-6)\/(-9). Calculate the common denominator of 1\/6 and (0 - 0) + 77\/j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3591\/30*(70\/15 + -3). Let z = k - 198. Factor z + 1\/6*r**2 - r.\nAnswer: (r - 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12002222 + -1212202?\nAnswer: 10020020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1080393 and 6406588.\nAnswer: 7486981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -1612 + 1621. Solve 0 = -2*f - 5 - s for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a**2 - a**3 - 4*a**3 - 3*a**4 - 3*a + 2*a + a**4 + 5*a**2 to the form g*a + p*a**4 + w + j*a**3 + b*a**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -62*y**3 + 3287*y**2 - 86*y + 1770. Calculate r(53).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -276*s - 15. Calculate h(-1).\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -4. Let n = -10 + p. Let h = -4 - n. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13921362722 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 2*y**2 - 391*y + 1604. Give f(0).\nAnswer: 1604","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-7) - (-270)\/1050\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 48841836 + -0.55.\nAnswer: 48841835.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 17*j**2 + j + 4. Let k be i(3). Suppose 5*n - k = n. Suppose -n = 5*m - 10*m. Calculate the remainder when 22 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 22\/5, -0.8, 2\/9 in descending order.\nAnswer: 22\/5, 2\/9, 0.1, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5*w - 16. Let x(j) = -4*j + 18. Let d(o) = -3*s(o) - 2*x(o). Differentiate d(h) wrt h.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 161325?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = o - 56. Is 4 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/6 (b) -2\/9 (c) 2 (d) -1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*m + 23, p - 2*m = 6*p. Let g be ((-3)\/p)\/((-6)\/8). Let v = 22 - g. Solve -5*l + 5 = -v for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1755970 - 55*g**2 + g - 72*g**2 - 43*g**2 - 1755970.\nAnswer: -170*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-2)*(-111)\/(-74)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1554413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 6 = -3*r, 4*r + 0*y + 4*y = 0. Suppose 4*s - r = -17. Let u(j) = j**3 + 6*j**2 + 4*j - 2. Is u(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**2 - 2*x - 7. Let t be n(3). Let h = -7 + 4. Suppose 2*q = -2*q - 4. Put t, q, h in decreasing order.\nAnswer: t, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -219374156421 - -13\nAnswer: -219374156408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/121275 and -13\/735?\nAnswer: 121275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of w**5\/40 - 3*w**3\/2 - 2*w**2 - 9. Let o(d) be the first derivative of j(d). Let l(i) = 3*i. Give o(l(t)).\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 1 = -5. Suppose 4*u - q = 5*d + 18, -2*u = -3*d - 10. What is the second smallest value in -0.1, u, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/5 and 27\/25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14995 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 7*g + 3. Let a be z(7). Solve 2*f = -f + a for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -4*l + 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -156\/67?\nAnswer: -156\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -773.9 - 154.6111\nAnswer: -928.5111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1494*r - 3 = 3*l + 1486*r, 2*l + 2 = 3*r for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*k - 66 = 78*k + 172 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5 + ((sqrt(76)*1*-2)\/sqrt(4))**2 + (4*(sqrt(1900) + 2*sqrt(1900) + -1))**2).\nAnswer: -1642182 + 5760*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -156 and -155 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30627 and 1107?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -94 - -292. Is p a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-2))\/(-6)*-81*(-134)\/(-201)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 e when four letters picked without replacement from {s: 2, h: 1, z: 9, e: 4}?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 780 is divided by 258.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 266 and 2014.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 10.72172 nanometers?\nAnswer: 0.00001072172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3189 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzgzzzgzzz. Give prob of sequence gg.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 94 - (-132 - (-92 + -134))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238*t + 11702 - 4324 = 0 for t.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 175*a - 3. Let s(f) = -65274*f + 1118. Give -2236*o(j) - 6*s(j).\nAnswer: 344*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.09 or -60086.04?\nAnswer: -60086.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 271 equal to 271?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2 - 2*w + 8*w - 5*w. Let p be 2*1*(1 + 0). Let r be i(p). Which is the second smallest value? (a) -5 (b) 3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + m + 24, 0 = 5*n - 2*m - 70 + 190. Let x(h) = 8*h**2 + h + 1. Let d be x(2). Let r = n + d. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -2\/17 (b) 0 (c) -2\/3 (d) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -47*c**3 + 7*c**2 - 6*c + 2. Let n(f) = -49*f**3 + 9*f**2 - 7*f + 3. Let s(l) = -4*n(l) + 5*o(l). What is the remainder when 183 is divided by s(-1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3327c (base 13) to base 10.\nAnswer: -92715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75461, -1, -51, 5 in ascending order.\nAnswer: -51, -1, 5, 75461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = l - 6. Let n be -3 + 5\/(l\/6). Let o be (-1)\/(-2)*(3 + n). Solve 4*k + 3*m = 13, 0 = 3*k - o*m + 4*m - 11 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.52 - -1.42. Let o(i) = -1 + 3*i + 6 - 4*i + 0. Let y be o(5). What is the closest to s in 2, y, 0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 6 = 37*r - 36*r - 6*u - 7, 4 = u for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2201*q + 10*q - 37247 = 0 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (45\/6)\/(-5)*(-374)\/10659\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2\/5 + 528*x\/5 - 208.\nAnswer: -4*(x - 130)*(x - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247*q**3 + 75*q**3 + 4*q - 2*q**3 - 4*q.\nAnswer: -174*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.01 + -4.99. Let k = 23.3 + t. Let c = -18 + k. Which is greater: 0.08 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3926.\nAnswer: 2, 13, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*(d*((d*d*d\/d**1)\/d)\/d)\/d))**(-13\/5)\/((d\/d**(4\/7))\/d*(d\/d**(-1))\/d) assuming d is positive.\nAnswer: d**(-3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 195\/39*((-9443)\/3479)\/(10\/(-7)).\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l - 3*l - 2 + 4*l - 3*l. Let r be -2 + 3 + (-1 - -2). Let k(c) = -2*c + 5. Let v(t) = -2. Let p(a) = r*k(a) + 6*v(a). Determine 2*p(n) - 3*q(n).\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/5 of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 77*v - 747. Let k be t(-13). Calculate the highest common factor of 17 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.13? (a) -25 (b) 0 (c) 2\/11 (d) -2\/3 (e) 1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2514518 is divided by 47?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f**3 - 70*f**2 + 34*f - 270. Calculate g(-24).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 6*c + 49. What is u(-9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 7*u - 9. Let a be g(3). Let s = a + 43. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5356 - 2675 + 5869*f**2 + 0*f + 0*f - 2677 to b*f**2 + i + v*f and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-612)\/255)\/(357\/120 - 3). Solve 99*x + 6 = a*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 = -3*v - 55 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.536 - -283.536. Let n = l + -411. Is -1 greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (378 + 202 + 233 - 220)*(0*v**5 - 3*v**5 + 2*v**5).\nAnswer: -593*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 168*g**4 + 11*g**3 + 24*g**2 + 338283*g.\nAnswer: 2016*g**2 + 66*g + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-20)*-2)\/(2\/(-12))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.09559 - -13.83441. Is 10 smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.5 (b) 8\/11 (c) 1\/4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.06 - 7. Let q = 0.5565 + -0.6565. What is the third smallest value in -1, i, q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u**2 + 366*u - 3107. Give t(-130).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l\/l**11)*l)\/l)\/l)\/l)\/(l\/l**(-10\/9)*l)*((l**(1\/2)*l)\/l)**32 assuming l is positive.\nAnswer: l**(197\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 6*x - 3. Let h be v(5). Suppose 6*f = h*f + 76. Solve 3*r + r + f = 5*n, -n - 2 = 5*r for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -17*v. Let s(z) = -10*z**2. Calculate s(x(q)).\nAnswer: -2890*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43425395 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3965 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-6460)\/(-1295))\/((682\/(-308))\/(-31)).\nAnswer: 6\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 6*f + 7. Let n be x(-1). Which is the fourth biggest value? (a) -0.3 (b) -3 (c) 0 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + s = -0*s - 19, 4*b - 3*s - 24 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/7 in -2, -6, 1, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 24841*w - 34 + 18.\nAnswer: 24841*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 9*r - 15*r. Find the common denominator of (-1)\/(-4)*52\/r and -7\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -31, -81, -143, -211?\nAnswer: -279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 331 * -0.5.\nAnswer: -165.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 73, 104?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21442032 (base 7) in base 6?\nAnswer: 103253020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 9. Let l be z(3). Suppose 12*j + 22 - 70 = l. Which is the second smallest value? (a) j (b) 1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27691051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/16676 and -19\/32.\nAnswer: 133408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m - m + m**2 + 1 + 2 + 2. Suppose 10*a + 48 = 22*a. What is j(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*((-4)\/10)\/(24\/20). Let t = 0 + p. Suppose -t - 26\/3*s**3 - 8\/3*s**4 - 14\/3*s - 10*s**2 = 0. What is s?\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3803 is divided by 253.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 163 + -553. Calculate the common denominator of 21\/(-189)*w\/8 and 57\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 44cc - aa?\nAnswer: 4422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**2\/13 - 579422*j\/13 = 0.\nAnswer: 0, 289711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 - (146 + (-34 - 45))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -18 - 11*f + 14*f**2 + 43*f**2 + 20 - 10*f + 20*f. Give p(1).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w - w + 0*w + (41 - 35 + 27)*(-w - 3*w + 3*w).\nAnswer: -32*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 501836112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 23*k. Let s(g) = -2*g. Give c(s(b)).\nAnswer: -46*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -121233, -248824, -376415, -504006, -631597, -759188?\nAnswer: -886779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 4)*(-60*n + 114*n + 163*n) to the form z + k*n and give k.\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 11*k**2 - 8*k - 14. Let r be d(10). Suppose -2*b + 12 = 4*j, 2*j - 2*b = 3*b + r. Let x(z) = 9*z**3 - 2*z + 9. Is x(j) a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (215\/258)\/(8\/16*-5)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + 300 = 330 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-32)\/(-24) + (10\/6 - 1). Suppose 4*b + h*r + 2 = 0, 6*r = -2*b + 2*r + 14. What is the units digit of (42*-7)\/(b\/(-6)*-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 51 = -3*m, 2*m - 22 = 2*q + 28. Does 22 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1028, -2795, -5732, -9851, -15164, -21683?\nAnswer: -29420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -20660, -81170, -182032, -323246, -504812?\n\"Answer: -20176*w**2 + 18*w - 502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 146146*s**2 + 856*s - 3415. Is p(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -6\/77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2160.757 nanometers in micrometers?\nAnswer: 2.160757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6304 and 142377022.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u + 7. Let q be t(0). Let z(k) = -9*k**2 - k**3 - 11*k + q - 7*k**2 + 7*k**2. List the prime factors of z(-8).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 + 17. Suppose 5*d + t*d - 15 = 0. Suppose -3*o - 15 = 2*q - d*q, 2*o + 5*q + 27 = 0. Let b(g) = -g**2 - 4*g + 4. Determine b(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*f**3*g*w + 3*f**2*g**3*w + 2*f**2 + g**3*w + 3*g*w wrt f?\nAnswer: 12*f**2*g*w + 6*f*g**3*w + 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 9*z + 11. Let w be m(8). Let i be (-5 + 9\/w)\/(-1). Let r be 10\/4*(i + 6\/5). Solve 4*s + r = 2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3 + (-38)\/12)*3 - 6 and -93\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of 3325*j**3 - 2590*j - 7338. What is the first derivative of n(p) wrt p?\nAnswer: 19950*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(80) - (sqrt(80) + 2 + sqrt(80))) + 2 - (0 + sqrt(80) + -2 - sqrt(80)))**2 + 4.\nAnswer: -16*sqrt(5) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 2*w**2 - 2*w. Let a(j) = j**4 - 55*j**3 + 342*j**2 + 18*j. Let q(y) = -4*a(y) - 36*r(y). What is the third derivative of q(c) wrt c?\nAnswer: -96*c + 1536","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 580.4238 months to millennia.\nAnswer: 0.04836865","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.017 - -61.983. Let g = x - 99. Which is the second biggest value? (a) g (b) -1 (c) 4 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -145 + 134 + -3 + 24?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + r + 1. Let a(f) = 6*f**2 + 5*f + 5. Calculate 6*a(s) - 30*d(s).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13698 is divided by 428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (188\/28 - 7)\/(6\/28)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.466936 years in centuries?\nAnswer: 0.03466936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1331.7 + -1332. Put b, 3, 2\/171, -2\/7 in increasing order.\nAnswer: b, -2\/7, 2\/171, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 65, 100?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -4. Suppose 0 = -0*d - s*d + 10. Let u = -2 + d. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*q = -30. Suppose 0 = -6*t + q + 6. Solve -28 = 2*c + 5*g, 3*c = t*g + g for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 367761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 5*y + 2. Let n be r(5). Suppose n*b + 0*b = -8. Let w be ((-1)\/(-1))\/((-2)\/b). Solve -2*j - w = 6 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 29\/2 of a decade?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24.02 + -0.02. Let u = 31 - n. Sort u, -2\/11, 0 in decreasing order.\nAnswer: u, 0, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 5*l**3 - 5*l**2 - 3*l - 2. Let o(p) = 4*p**3 - 4*p**2 - 2*p - 2. Let k(q) = 3*n(q) - 4*o(q). Let m = -2 + 2. Calculate k(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41 times 11132.8\nAnswer: 456444.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 7:44 PM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - x**3 - 2 + (146 - 146 - 11*x**2)*(-6*x + 2*x + 3*x) + (x - 2 + 2)*(624 - 624 + 38*x**2).\nAnswer: 48*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 401*y**2 + 401*y**2 - 794*y**2 - 644*y**3 + 119*y**3.\nAnswer: -525*y**3 + 8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 6*a - 6. Suppose 109*i - 91*i - 396 = 0. Calculate the least common multiple of i and a.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-3))\/v)\/(v\/v**(-2\/7)))\/(v**(-1\/3))**(-42)*(v**(-1)\/(v*v*(v**6\/v)\/v))**(2\/7) assuming v is positive.\nAnswer: v**(-100\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7642343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (92\/(-48) - -2)*(-197 + 197). Solve 9*q - 20 + 2 = i for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2196\/(-112)*-10)\/6. Let q = 304\/7 - p. Let f = 1210 - 6031\/5. What is the common denominator of f and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 18*b + 13*b + 75 = 48 + 46, -2*y + 4*b - 16 = 0 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 36, -39, -166, -345, -576, -859, -1194?\n\"Answer: -26*b**2 + 3*b + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2.22, 1, 1\/7, -4\/7 in increasing order.\nAnswer: -5, -2.22, -4\/7, 1\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4*b + 17 = -23, -3*w - 2*b + 32 = 0. Let n(d) = 64*d + 16. Let k be n(w). Suppose -s + k = 3*s. Calculate the highest common factor of 12 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 11:24 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 449 divided by -263.\nAnswer: -449\/263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11398 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v - 2550 = -263*v for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 85\nAnswer: -25.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -18*y - 10*y**2 - y**2 + 5 - 20*y + 2*y**2 - 6*y = 0?\nAnswer: -5, 1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q**2 - 306*q**3 + 178*q - 4*q + 8*q**4 + 244*q**3 wrt q.\nAnswer: 192*q - 372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58902 (base 10) to base 12\nAnswer: -2a106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1401258794?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 35250000 to the nearest 1000000.\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -112? (a) -1\/69 (b) 0.2 (c) 0.75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -393\/290 + 9\/58. Let f = 373\/5 - 75. Let d = b + f. Which is bigger: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 116 + -100 - ((1 - 1) + 8)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 2:35 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 14*t**2 + 18*t + 17. Let h be u(13). Suppose 4*w + 1 - 22 = -l, -3*w = -5*l + h. Is l < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 2:37 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -8 - (3 + -3 - -3 - -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6404988?\nAnswer: 2, 3, 17, 31397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 9. Suppose -3 = -m*d + 1. Determine v, given that -4 + 3*v**d + 4 + 16*v**3 + 4*v + 17*v**2 = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 351?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2483 + -7062. Round m to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3188123 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -780858972, -780858973, -780858974, -780858975?\n\"Answer: -w - 780858971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 40 - 60 = 0. Let r be 44\/(-11) + 31 + 3. What is the highest common factor of x and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -79?\nAnswer: 7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 39110 to the power of 1\/2, to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -531*l**3 - 13*l**2*x - 7200*l*x + l + x wrt l.\nAnswer: -3186*l - 26*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h**2*h))*h)**(-1\/10))**(-29)\/(h**(3\/2)*h**(-6\/5)*h*(h*h**(-3\/2)\/h)\/h**8) assuming h is positive.\nAnswer: h**(99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/(70\/(-12))*(-20)\/(-3). Let i(u) = -u**2 + 3*u - 3. Let v be i(3). Let a = z + v. Solve 2*w + 3*w + 7 = -4*j, w = -4*j + a for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -531, -1069, -1605, -2139, -2671, -3201, -3729?\nAnswer: -4255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 - 31. Let p be 324\/10*(-22)\/(-4). Let m = 179 - p. What is the smallest value in w, 3, m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 1. Let p be (120\/(-9))\/(8\/(-12)). Suppose p - 47 = -4*c - 5*k, 3*k - 24 = -5*c. Solve d = -b + c*t - 3, -2*t + 3 - 1 = -3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1ee96e (base 15) in base 4?\nAnswer: 11302133000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 13*q - 95. What is r(5)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2240, 5, -14, -1 in ascending order.\nAnswer: -2240, -14, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*o**2 - 11*o**2 - 24*o**2 - 12*o**2.\nAnswer: -34*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = -12*k + 27. Let a(m) = -2*m**3 + 7*m**2 + 7*m - 12. Let u(j) = -3*j**3 + 14*j**2 + 13*j - 24. Let z(x) = k*a(x) + 3*u(x). What is z(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -6*n**3 + 8*n**2 + 32*n - 1198. Let h(u) = -20*u**3 + 26*u**2 + 104*u - 3596. What is 4*h(f) - 13*o(f)?\nAnswer: -2*f**3 + 1190","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from modsdmzodzhmz. Give prob of sequence smmo.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -a**5\/5 - 13*a**2. Let u(r) = -4*r**2. What is u(l(m))?\nAnswer: -576*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**2 + 7*a + 7. Let y be s(7). List the prime factors of (y\/4)\/((-2)\/4).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -4, 395?\nAnswer: 395","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3)\/((-1850)\/1665).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10714951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*v + 5*t - t = -49*v - 36*v, -32 = -7*v + 4*t for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**2 - 222*o**3 - 4*o**2.\nAnswer: -222*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 12, 700 in increasing order.\nAnswer: -1, 12, 700","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 57*c - 336. What is the lowest common multiple of p(7) and 134?\nAnswer: 7504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one twentieth of a milligram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140 and 2580620.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/7 - 12*z\/7 + 10\/7.\nAnswer: 2*(z - 5)*(z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14172553.\nAnswer: 14172553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 59633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13 and 3?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 4*r + 998 - 959 = 3*r, -r = 119*o - 0*r - 82 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l**(-1)\/l)\/l))**(2\/17))**(2\/119)*(l**(7\/4)\/(l**(1\/2)\/l))**(3\/38) assuming l is positive.\nAnswer: l**(57053\/307496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6.7453 and -3.353348.\nAnswer: 3.391952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**3 + 6*k**5 + 2*k**3 + (-6*k + 6*k + 5*k)*(-3*k**4 - 3*k**4 + 7*k**4) - k**5 + 0*k**5 + 2*k**5.\nAnswer: 12*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 + 52. Suppose -r = -6*t + 3*t. Factor 10*v**2 - 25*v + 9*v**3 - 3*v**t - 7*v**3.\nAnswer: -v*(v - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**3\/9 - 206*o**2\/3 + 3866*o\/3 - 10982\/9 = 0. What is o?\nAnswer: 1, 19, 289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 854959439 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.08947 + 0.01053. Let i = -59 + 46.1. Let h = 12 + i. Which is the fourth smallest value? (a) h (b) -4\/9 (c) -4 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 230, 176, 112, 38, -46, -140?\n\"Answer: -5*i**2 - 39*i + 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59 - -58.6. What is the third biggest value in a, 0, -0.043?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0207541 to four dps.\nAnswer: -0.0208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + v + 1. Give k(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 971 = 17*w - 236. Suppose p = w - 67. Solve 5*s = m - 2, -p = -s - 2*m - 0*m for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**2 + 3*p - 20. Let h be z(6). List the prime factors of (-2)\/3 - h\/(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7080.636 centimeters in micrometers?\nAnswer: 70806360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24.6 - -2.4. Let t = p - 23. Let a = 9 - t. What is the nearest to -2 in a, 2\/7, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -8, 3, -2 in ascending order.\nAnswer: -8, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -1. Let d(w) = w**2 + 4*w**s - w - 2 - w - 2 + w**3. What is d(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 57*d + 106. Let o be n(0). Calculate the highest common divisor of o and 2014.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5601308328 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*q + 524 = 510, -q - 7 = 3*o. Factor o*y + 1\/4*y**2 - 9\/4.\nAnswer: (y - 3)*(y + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 3*x**2 - 28 - 3*x**2 + 3*x**2.\nAnswer: 3*x**2 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 + 44. Suppose 4*g - d = -2*g. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2016) + (sqrt(2016) - sqrt(2016)*2)*5 + sqrt(2016))\/((sqrt(504) + sqrt(504)*-3)\/sqrt(8)).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u + 0*u + 0*u + 0*u + u + 0*u + (2 - 6 + 3)*(0*u - u - u) + 2*u + 3*u - 6*u + (4*u + 0*u - 11*u)*(2 - 1 - 3) to k + q*u and give q.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 206\/42 + 3\/((-378)\/(-12)). Solve g*o + 91 = 71 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 436517601?\nAnswer: -436517575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13857 and 4.\nAnswer: -55428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8966275 divided by 44?\nAnswer: -8966275\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 - 0. Let i(t) = t**2 + 45*t - 47. Let p be i(-46). Let n be 404\/(-48) - -8 - p\/(-3). What is the closest to n in z, 2\/15, 2\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -0*t + 5*w - 1, 6 = 3*w. Calculate the common denominator of ((-11)\/t)\/(-1) - -3 and (10\/(-40))\/(5\/(-92)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/1618 and 113\/28.\nAnswer: 22652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 171*y - 170*y + 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -512 divided by 1113.\nAnswer: -512\/1113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18848 + -18853. What is the closest to 0 in n, -14, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31 and 1154719?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -559130 = -69*m - 61*m. What are the prime factors of m?\nAnswer: 11, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 834, 2, 5, -3, -22, 7, 12 in increasing order.\nAnswer: -22, -3, 2, 5, 7, 12, 834","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**5\/5 - 63*n**4\/5 + 207*n**3\/5 + 599*n**2\/5 + 66*n = 0. Calculate n.\nAnswer: -66, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 120.05 - 73.1. Round j to the nearest integer.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q. Let m(t) = 33*t**2 + 6*t + 4. Determine n(m(g)).\nAnswer: -66*g**2 - 12*g - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 25*j**2 - 3*j**2 + 50*j - 18 - 2*j**3 + 26 + 18 = 0.\nAnswer: -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.091 - 2.268. Let t = 1.3 + -1.357. Let i = t - k. Round i to 1 dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34.7 * 2\nAnswer: -69.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12)\/sqrt(6) + -3)*-6*-5)**2 - (sqrt(84)\/(sqrt(6)*-1))\/(sqrt(567)*1 + sqrt(567)).\nAnswer: -97199*sqrt(2)\/18 + 9900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 6*w - 5. Suppose -53 = -3*g + 4*b, 3*b - 4*b + 39 = 4*g. Let s = -8 + g. Calculate the remainder when n(s) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-8)*(-14)\/140)\/((-23)\/1610*24)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 11:54 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/39624 and 87\/16510?\nAnswer: 198120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 480651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.04000184 + -0.04. Round z to 7 dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -455, -217, 23, 265, 509, 755?\nAnswer: 1003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l = 6*l + 1120. Suppose -l = -4*b - z, -3*z = 3*b - 25 - 80. Calculate the highest common factor of b and 280.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2460*c + 3525. Let h(x) = 30*x - 43. Let j(w) = 165*h(w) + 2*r(w). What is the first derivative of j(t) wrt t?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) -5\/3 (c) 154944 (d) -3 (e) -0.03 (f) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -11195, -11239, -11297, -11375, -11479, -11615?\n\"Answer: -x**3 - x**2 - 34*x - 11159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express q - 4*q - 5*q + 0*q as r + o*q and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -8) + (-1 - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 6:34 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 - (-6 + 4 - 18)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 6 = 0, -a + 2 = -t + 3. Let c(i) = i**3 - i**2 - i - 1. Let z(k) = 4*k**2 + 4*k + 4. Let d(q) = a*c(q) - z(q). Factor d(p).\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z - 14. Let l be y(-16). Suppose 0 = p + 5, l*r + 0*p = 5*p - 136975. What is r rounded to the nearest 1000?\nAnswer: -69000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 267633750539 + -84.\nAnswer: 267633750455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 3*q**4 - 2*q + (-3*q - q - 4*q)*(4*q**2 - q**3 - 4*q**2))*(4 + 3 + 4).\nAnswer: 55*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 118\/7. Let t = -32 + 33. Let v(j) = -2*j**3 + j**2 + j - 1. Let g be v(t). Which is the nearest to -1\/4? (a) g (b) h (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -10*w - 6 + 253*w**2 - 504*w**2 + 250*w**2. Determine y(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -10 - (8 - (7 + -3)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.1 - 0.1. Let d = 0.3 + -0.3. Which is the third biggest value? (a) d (b) p (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 + 0*b**2 + 0*b**2)*(b**3 + 0*b**2 + 0*b**2) - b**5 - 2*b**5 + 2*b**5 - 38*b**5 - 63*b**2 + 63*b**2.\nAnswer: -37*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a - 43. Let o be p(18). Let q = o - -81. Let z(b) = b**3 + 6*b**2 + 3*b - 5. Let k be z(-5). Solve -s - 4*s = -k*g - 5, 0 = 4*s + q*g + 26 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 30 - 3*m**2 - 32 + 2 + m**2. Let r(d) be the first derivative of 9*d**3 + 2. What is h(r(t))?\nAnswer: -1458*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -274, -276, -278, -280?\n\"Answer: -2*z - 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2357 - 1266. Let h(r) = r**2 + 39*r + 12*r - 1091 + t. Let p(u) = 2*u**2. Give h(p(o)).\nAnswer: 4*o**4 + 102*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2008*f**3 - 992*f**3 - 1019*f**3.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -1. Let u(r) = -13*r + 5. Determine 6*k(h) + u(h).\nAnswer: -13*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -14210200 to the nearest one hundred thousand.\nAnswer: -14200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 32229 to the power of 1\/2, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 5*s, -5*s + 0*b - 3*b = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2. Let d(j) = -9*j - 1. Give d(f(r)).\nAnswer: 9*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2675 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1388 - -2126. Is z a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6596.4 + 5541. Round o to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -d**7\/2100 + d**6\/450 + d**5\/100 + 34*d**3\/3 - 67. Let w(o) be the third derivative of v(o). Factor w(s).\nAnswer: -2*s*(s - 3)*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22360, 27, -4.\nAnswer: -22360, -4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*y + 5*p, 0*p + p + 17 = 4*y. Let d be ((-6)\/4)\/((-2)\/y). Suppose -11 = -d*c + 10. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.896 and -192412078740.\nAnswer: -192412078739.104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72)\/63*(-140)\/240.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.882 + 10.882. Sort -1\/4, 0.24, 0.2, h in ascending order.\nAnswer: -1\/4, 0.2, 0.24, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oy when two letters picked without replacement from oyyyoyyyoyo?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -96*n**5 + 3*n**2 + 41*n - 9.\nAnswer: -1920*n**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 619 + -523. Suppose 10*i = -2*i + t. What is the least common multiple of i and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-2) + (2 - 48). Let o be 22\/(-144) - (-10)\/k. Let q = 130 - 257\/2. Which is the second smallest value? (a) o (b) q (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -18*w + 18. Let y be l(7). Let s = 181 + y. List the prime factors of s.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*p - 46*p = 14630. Calculate the least common multiple of p and 1197.\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133 + 4 + 10 = -9*x - 5*m, 5*m - 15 = 0 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5947\/291 - -10\/97. Let h = 1046560\/9 + -11881277\/99. Let s = -3725 - h. Find the common denominator of s and u.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126941892 a multiple of 1089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmhm when four letters picked without replacement from hqmqqqhqmqmqhhhqhqmq?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 8 = -2*r, 0 = r + 5*t - 5 + 21. What is the lowest common multiple of 40 and r?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -101.2 - -101. What is the fourth smallest value in 3, r, -5, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((3 - 17) + 0)*(-3)\/2. Suppose -m*r = -29*r + 424. Calculate the remainder when 96 is divided by r.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (10 - 5) - (-1 + -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 7*b**2 + 9*b - 3. Let u be t(8). Calculate the remainder when 39 is divided by u\/(-15) - (-156)\/9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 69*r**2 + 138*r + 1402. Give k(67).\nAnswer: 1670","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -25*y + 1. Suppose 4*u + u - f = 31, -5*f + 20 = 0. Suppose -17 - u = 3*c. Is r(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4691962 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 5:59 AM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 132 + -125. Suppose 0 = 22*m - y*m - 83850000. What is m rounded to the nearest one hundred thousand?\nAnswer: 5600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*i - 6120 = 219*i + 190*i for i.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 193 - -47. Let m be (-3)\/(27\/6000)*x. Round m to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -361352261?\nAnswer: 361352264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -21101212 (base 3) to base 5\nAnswer: -133041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 234513.47 rounded to the nearest ten thousand?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -596*k**3 - 182 + 2*k**2 + 0*k**2 + 180. What is the units digit of m(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7568 divided by -1892?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 34*i**2 + 2833*i - 4908. What is n(-85)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/((-8)\/(-6)))\/((-6402)\/(-16005)))\/(6\/128)\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 968 and 1936?\nAnswer: 1936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -488 - -480. Let d be 53\/11 - 5*u\/220. Solve -5*s = l + 4*l - d, 0 = -4*s + 3*l + 11 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 + -37.136. Let y = -16.736 - m. Let g = -17 - y. What is the third smallest value in 0.3, g, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 29, 112, 281, 566?\nAnswer: 997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 242 - 236. Find the third derivative of 0*k - 2*k - 1030*k**2 - m*k**3 + 4*k**4 + 1029*k**2 wrt k.\nAnswer: 96*k - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62 - 684\/11. Let l = 0.068 + 4.932. What is the third smallest value in -0.2, -4, l, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 366 and 1152717.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*d**2 - 52*d**2 - 54*d**2 + (-2*d - d + 5*d)*(4*d + 4*d - 5*d) - 4*d**2 + d**2 + d**2.\nAnswer: -71*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -82408 (base 9) to base 5.\nAnswer: -3214103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(0 + 5 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 4*g = -346 + 336, 0 = 3*g + 9 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 38 = 6*r - 4*q, r = 2*q - 12. Let v = 2 - r. Suppose 3*a + a = v. Solve -2*k - 25 = 3*k + 4*p, -a*k - 5*p = 29 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1826.1 rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13905778?\nAnswer: 2, 2267, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1291.89 - 1344. Let p = -1.11 - m. Let b = p - 51.000124. What is b rounded to 5 dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.3 - 2.8. Let k = -9.6 + x. Let o = k + 0.9. Round o to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 86 - 82. Suppose 756 = -3*c + 5*c + o, b*c - 1524 = 4*o. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294*l = 291*l + 18. Solve 4*u = -4*k - 28, -1 = -l*u + u + 4*k for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*q = -68. Suppose 3*y - 4*n = q, 0 = 4*y - 0*y - 4*n - 84. What is the greatest common divisor of 16 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166750 to the power of 1\/2, to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7994 divided by 6?\nAnswer: 3997\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67886?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2220*g**3 - 80.\nAnswer: 6660*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 2 (c) 5\/103 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i + i - 20 = 0. Let c(s) = -13*s**3 - 5*s**2 - 7. Let x(w) = -6*w**3 - 2*w**2 - 3. Calculate i*c(m) - 5*x(m).\nAnswer: 4*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -59*u**2*v**2 + 4*u*v**3 + 435*v**3 wrt u?\nAnswer: -118*u*v**2 + 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 11:29 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 11*i + 12*i = -162 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -141\/1870 and -197\/16825710.\nAnswer: 286037070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nil when three letters picked without replacement from inmmddddnl?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(-3)\/(-3) + -4. Which is the closest to 0.7? (a) -3 (b) o (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 - 1)*(-4*v - 3*v + 3*v) + 0*v + v + v)*(-5 - 7 + 5)*(-3 + 1 + 1)*(4*v**2 + v**2 - 3*v**2).\nAnswer: 196*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -34 - 21?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (2\/(-4))\/(203\/(-1188768))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10656 by -9.\nAnswer: -1184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -278474204 divided by 69618551.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**3 - 260*z**2 - 2134*z + 5324 = 0.\nAnswer: -121, -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14020?\nAnswer: 2, 5, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18033 + 9016 + 9020 - 4438*h)*(-3 + 0*h + 0 - 2*h).\nAnswer: 8876*h**2 + 13308*h - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.558535 decades in centuries?\nAnswer: 0.8558535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 21*v**3 - 46*v**2 - 10. Let c(a) = 1. Let m(u) = -2*b(u) - 18*c(u). What is the third derivative of m(k) wrt k?\nAnswer: -252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4107 is divided by 396.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s - 82. Let w(d) = 27. Let z(o) = 6*p(o) + 17*w(o). What is the remainder when 82 is divided by z(9)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 244943002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6199 - 6177. What is the closest to g in -0.5, -1, 6, -2\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 6 + 2. Let m be 11 + (-2)\/4*n. Suppose 0 = 175*t - 533 - 1042. Is m <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 3*l + 0*l - 5*l + 3 - 4*l - 3 + (-2*l + 3*l - 2*l)*(1 + 3 - 2) to the form m*l + s and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-18) - (-140)\/(-63). Let g(h) = -h**2. Let z(f) be the first derivative of -f**3 + 2*f + 83. Calculate d*g(i) - z(i).\nAnswer: 5*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 966557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 33100312233 (base 4) in base 5?\nAnswer: 2011014244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 8:22 AM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (49 + -48 - (3 + -11)) + -16.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -640781 (base 10) to base 14.\nAnswer: -129741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 6:40 AM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 0 + 0 + sqrt(13) + 4)**2.\nAnswer: 12*sqrt(13) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qsaqbcvv. What is prob of picking 1 a, 2 v, and 1 q?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gwgwwgjwwjwgbwgw. What is prob of sequence wwb?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*y**3 + 0 + 0 + 121*y**3 - 249*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -613*w = -614*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yoyooysysoyyyyyssoy. Give prob of picking 3 o and 1 y.\nAnswer: 25\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 1211*i. Let t(g) = -2*g**2. Calculate t(b(n)).\nAnswer: -2933042*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/2)\/((-2)\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*x = -26, 3*t + 3*x = 5*x + 30. Let h = t + -3. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -6. Suppose 2*p - 3*i - i = 8, p = -c*i + 22. Suppose -47 = -z - p. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16717, 67495, 152117, 270583?\nAnswer: 422893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 9*a - 7. Let u be c(-6). Let t = 56 + u. What are the prime factors of t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1206 and 16?\nAnswer: 9648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 923223033?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4316\/(-2405))\/(-83))\/(2\/(-10)*2)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 12:24 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*t + 0*t - 72 = 0. Solve 19*s - t*s + 2 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48623 - 48675.938. Let b = m + 53. Round b to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -37 + -53513?\nAnswer: -53552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 times 3.85?\nAnswer: 3.465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -28, -87, -138, -145, -72, 117, 458?\n\"Answer: 6*y**3 - 32*y**2 - 5*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3543 > -24795\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 4. Suppose -234 = -v*a - 36. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2136 divided by 3634.\nAnswer: -1068\/1817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - 6*i + 8. What is m(-8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4ac8 (base 14) to base 3\nAnswer: 122222122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/8 and 57\/148?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pph when three letters picked without replacement from {p: 2, t: 1, h: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3369958*x**2 + x - 3446389*x**2 + 6885550*x**2 + 9935669*x**2.\nAnswer: 16744788*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -136 (b) 22 (c) -0.4 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5839426 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/(14\/(-3)) + (-103494)\/(-4). Suppose 11*t = 451 + q. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12514332 to the power of 1\/2, to the nearest integer?\nAnswer: 3538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -868*l**2 - 2999*l**2 + 388*l**2.\nAnswer: -3479*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 8143851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 4*t + 5 = b, -3*b + 2*t + 41 = 0. Suppose 3*h - o - 11 = 0, -2*o + b = -5*o. What is the remainder when h is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 j when two letters picked without replacement from {b: 1, j: 1, d: 6, f: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -36*y**5 - 4724*y**4 - 91624*y**3 + 180176*y**2 + 44512*y = 0.\nAnswer: -107, -26, -2\/9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/3 + (7 - (-140)\/(-21)). Suppose -4*q = -3*u + 420, -h*q + q = 3*u - 435. Calculate the greatest common divisor of u and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 v when four letters picked without replacement from qvvaevaapq?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114 - 17 = 26*x + 233 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -946432 and -946432 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 543581.\nAnswer: 337, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 5*k + 97 = -2*q, -q + 2*k = -44. What is the greatest common divisor of 69 and q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.719757t to nanograms.\nAnswer: 9719757000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + 0.0764\nAnswer: 0.5764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 257*c**2 - 20*c - 13. Let l(u) = 171*u**2 - 14*u - 9. Calculate -7*l(w) + 5*y(w).\nAnswer: 88*w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -118*f - 41. Let q be p(-2). Suppose -q*l = -189*l - 54. Is l < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3*10\/(-2))\/1. Let b = 26 - n. Calculate the remainder when b is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/10 of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 2:55 AM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.6, -3, 14 in decreasing order.\nAnswer: 14, 4, 0.6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i**3 + 202*i + 0 - 35*i**3 - 1.\nAnswer: -26*i**3 + 202*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 5*p**3 - 2*p**2 + p. Let n be i(1). Let w(c) = -6*c**2 + 5*c**2 - 7*c**2 + 7*c**2 - n*c**2. Let a(s) = -12*s. Give w(a(j)).\nAnswer: -720*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 282*s - 1. Let o be r(3). Suppose p = 2*t - 4*p - o, -824 = -2*t - 2*p. Suppose -2*q - 3*q = -t. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 46.6 or -0.1?\nAnswer: 46.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4*u + 255 = 0, -h - u + 48 + 37 = 0. Calculate the greatest common divisor of 5 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 2 + 2)*(-1 + 5 - 5) - 31 + 31 - 54)*(2 - 3 + 4)*(4*o - 18*o + 0*o)*(4 + 3 - 5) to the form m + j*o and give j.\nAnswer: 4620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 2498.\nAnswer: -9\/2498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -347 (base 9) in base 11?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*w - 495387 - 45309 = 0. List the prime factors of w.\nAnswer: 2, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*h = -46*h + 4*v + 2, h - v = -1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/398022 and 121\/6.\nAnswer: 398022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 51, 72, 111, 174, 267, 396?\nAnswer: 567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -13812*-0.135\nAnswer: 1864.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 1:20 PM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + 1 + sqrt(208))**2 + -5 - (2 + (2 + -1*sqrt(208) - ((sqrt(208) - sqrt(208)*1)*5 - sqrt(208))**2)).\nAnswer: 36*sqrt(13) + 623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 22*y + 24. Calculate the remainder when p(27) is divided by 63.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-8))\/((-210)\/(-336)). Let w = 9 - 7. Factor 4\/5*r**w - j*r - 2\/5*r**3 + 0.\nAnswer: -2*r*(r - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 1053*p + 6854. Give f(-7).\nAnswer: -517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.1 - 0.125. Let m = -0.972715 + d. Round m to 4 decimal places.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000101101010 (base 2) in base 13?\nAnswer: 204c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 7) + (70 - 93 - (17 - 8)) + -10?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/7))**2 assuming h is positive.\nAnswer: h**(-4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -46.89 from -190.78908.\nAnswer: -143.89908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 6 + 26 = 0. Suppose -t = -4*n - 7 - c, 2*n + 1 = 5*t. Let a be n*3\/9 - -8. Let s(f) = f**2 - 6*f - 8. What is s(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 45, -14 in decreasing order.\nAnswer: 45, -0.3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 111 = -d. What is the remainder when d is divided by -2 + 4 + 0 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a + 1. Let x be b(6). Sort 2, 4, x in descending order.\nAnswer: 4, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1283, -2547, -3809, -5069, -6327, -7583?\nAnswer: -8837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/4 - 2457473*j**2\/4 + 9829940*j - 39319824.\nAnswer: -(j - 8)**2*(j + 2457489)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**11\/p**(-16) assuming p is positive.\nAnswer: p**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12836 or 12835?\nAnswer: 12836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -40 - (-2106 + 2206).\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -11. Let p(y) = y + 4. Let v be p(w). Let i = 3 + v. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (27*17)\/(-3) + -1. Let d be 4\/(-22) - 336\/j. Which is bigger: 3 or d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {z: 1, j: 2, x: 2, c: 7}?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q*q*(q\/q**(-1))\/q))\/(q\/(q*q\/(q**(-4\/3)\/q*q*q))))**(6\/25)\/(((q*q**(2\/5))\/q)\/(q*q**(-4\/5))*q**(3\/4)*q**3*q) assuming q is positive.\nAnswer: q**(-107\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 320?\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zblbhzj. Give prob of picking 1 j and 1 z.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + b. Suppose 2*d = z - b*d, 0 = z - d. Solve z*g - 20 = 4*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**7)*h**(-1\/2))\/(h**(-2\/7))**(-20))\/(((h**5\/h)\/h*h)\/h*h**7*(h\/(h**(2\/15)*h))\/h**(-1\/3)) assuming h is positive.\nAnswer: h**(-1639\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u + 3. Let g(s) = 54*s + 6. Determine -3*f(k) + g(k).\nAnswer: 63*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84479 and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -21*t - 102. Give o(9).\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 19*v = -128. Suppose -4356 = -13*h + 4*h. Suppose -h = 8*t - 19*t. What is the remainder when t is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -277195170 - 6*r + 554390301 - 277195131.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 39*y**2 - 11*y. Let l(h) = -1363*h. What is r(l(t))?\nAnswer: 72452991*t**2 + 14993*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/5)*r*r*r)\/r*r*r**(-5)*r*r*r*r**6\/r*r**(-2\/11)\/r*r*(r**(2\/11)\/r**(3\/2))**(-2\/113) assuming r is positive.\nAnswer: r**(40034\/6215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/12 and 131\/110382?\nAnswer: 220764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 9:13 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -45*w**5 - 1360*w**4 - 1560*w**3 + 1070*w**2 + 1605*w + 290 = 0.\nAnswer: -29, -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1098)\/(-12)*(-11)\/(297\/18)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 0*u + 32. Let l = 13 + u. Solve -l + 0 = -x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 76. Let z = q - -125. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/1564 and -137\/19176?\nAnswer: 441048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of b**4\/24 + 23*b**3\/18 + 43*b**2\/12 + 7*b\/2 + 13. Factor i(z).\nAnswer: (z + 1)**2*(z + 21)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 4*o - 16, 342*o - 346*o + b = 14. Let v(k) = -k**2 + 8 + 0*k + 0*k - 4*k - 3. Give v(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -13*g + 63. Let y(t) = -g + 14 + 56*t - 59*t. Let a(v) = 3*v - 6. Calculate 5*a(i) + 4*y(i).\nAnswer: 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 32, 58, 94, 140?\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (18 + 3)\/(3\/94). Calculate the greatest common factor of 47 and j.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 57*c**2 + 6 + 62*c**2 - 2 - 3 + 63*c wrt c.\nAnswer: 238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -35, -61, -93, -131, -175, -225, -281?\n\"Answer: -3*q**2 - 17*q - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -132840 by 13284.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48054?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -25*(-5 + 3)\/(-2). Let y = k - -37. Let a(x) = -x**3 + 12*x**2 + x + 13. What is the tens digit of a(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hlhylssslylsshhylll. What is prob of sequence ylss?\nAnswer: 35\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 20*u + 2. Let s(w) = w + 3. Let g(l) = 116 + 115 - 230. Let t(d) = -3*g(d) + s(d). Determine t(j(c)).\nAnswer: 20*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25472296?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 34 = -2. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kl when two letters picked without replacement from vlkkkllllkklkk?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 11231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 651 - 565 = -2*s + 2*q, -2*q - 259 = 67*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-4)*x**(-2\/35))\/(x\/(x**(-2\/15)\/x)*x*x\/((x*(x\/(x\/(x*x\/(x\/((x**(-8)*x)\/x))*x)*x))\/x)\/x)))**(-7\/11))**(-12\/11) assuming x is positive.\nAnswer: x**(-116\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69188 is divided by 74?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5*c**2 + c - 3. Let m(s) = 14*s**2 - 2*s + 8. Give 3*m(f) + 8*r(f).\nAnswer: 2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 11. Suppose -q*k + 132 = 12. Let n be 1\/(k\/(-12) + 1). Is -3\/4 < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1018153.\nAnswer: 19, 41, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + (317 - 0\/(-4)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -6*n**2 - 7. Let m(k) = -k**2 - 1. What is -14*m(j) + 2*t(j)?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24\/(-44)*(-150)\/(-18) - -4. Let p = 47\/189 + 1\/27. Sort i, 1, p in decreasing order.\nAnswer: 1, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3568 + -538773\/151. Which is smaller: i or 0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 s when two letters picked without replacement from mmsmmmmmmllombmmmmoo?\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(832)*2 - sqrt(832)) - (sqrt(832) + 3*1*sqrt(832)) - (-3 + (sqrt(832) + (sqrt(832) - sqrt(832)*1))*6))**2 + 4.\nAnswer: -576*sqrt(13) + 119821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -14\/5, 0, -0.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 3:06 AM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1119825225 and 2?\nAnswer: 2239650450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213 = -16*k + 197 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2442815*x + 2133754 with respect to x.\nAnswer: 2442815","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -5*a - 25, -4*a = -4*c + 2*c + 20. Let y = 2 + c. Calculate the smallest common multiple of y and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10279730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 112.1 - 682.1. Let d = -567.39 - t. What is d rounded to one decimal place?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of a**8\/80640 + a**7\/10080 + a**6\/2880 + a**5\/60 - 4*a**2. Let b(q) be the third derivative of s(q). Factor b(y).\nAnswer: (y + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, v: 2}. What is prob of sequence zzz?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 4*i**2 - 14*i + 12. Let p be q(6). Let y = -15 + 7. Which is smaller: p or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 7269657.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/31? (a) 32 (b) -0.4 (c) 0.06 (d) -39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.7 + -1.21. Let r = w + 0.71. Let m = 8 + -4. Which is the second biggest value? (a) m (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l + 0*l - 18 = 0. Let v(z) = -z + 17*z**2 + 12*z**2 - 3 + 0. Is v(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 21 = -3*v, -v = -3*v + 2*o + 14. What is the smallest common multiple of 41 and v?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -464*a**2 - 1104*a**2 + 915*a**2.\nAnswer: -653*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-47)\/(u\/u**(-2\/3)))\/(u**(-9)*u*u**(-47)\/u*u) assuming u is positive.\nAnswer: u**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(11)*-2)**2*1.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert c0 (base 16) to base 11.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02787752 to three dps.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1680628 greater than or equal to 21848146\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of 7*y**6\/30 - y**5\/60 - y**4\/8 - y**3\/6 + 7*y**2. Is g(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -r**2 + 1\/30*r**4 + 0*r + 2\/15*r**3 + 0 + 1\/300*r**5. Suppose m(t) = 0. Calculate t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3321\/(-54))\/(((-270)\/(-84))\/15*7)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7592795 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.2 (b) -2 (c) -21354 (d) 1\/40\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*p**3 - 1687*p**2 + 2339*p - 10519506.\nAnswer: 6*p**2 - 3374*p + 2339","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 115566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -86, -456, -1110, -2048, -3270, -4776, -6566?\n\"Answer: -142*x**2 + 56*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + 0 + sqrt(700)*2)**2*-3.\nAnswer: -720*sqrt(7) + 50418","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*b + 54 = -50. Solve 5*y = t + 17, 2 + 0 = 5*t + b*y for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4, 2, -3\/11?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 5 + 26*v + 30*v + 29*v - 62*v.\nAnswer: 23*v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215137915.\nAnswer: 5, 43027583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1140, 1723, 2306?\n\"Answer: 583*x + 557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*j + 20 = 0. Suppose -3*d + 5*d - j = 3*n, -2*d - 3*n - 2 = 0. Let t = -35.1 + 35. Sort -4, 0.2, t, d.\nAnswer: -4, t, 0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -940 - -3239. List the prime factors of i.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -262, 2, -7, 4, 5, -165 in decreasing order.\nAnswer: 5, 4, 2, -7, -165, -262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 3*f + 39, -35337*o - 126 = -35344*o for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3 = 3*q, -1 = -3*i - 5*q - 7. Let n = -3 + 4. Find the second derivative of n - 6*f - 4*f**2 - i + 2 wrt f.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zlz when three letters picked without replacement from nzlznnzzznzzzznnzn?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 3. Suppose -68 + 8 = -p*n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - 4. Let a be 12*(-2)\/(-12) - 3. Let w = 2.4 - 0.4. What is the closest to a in w, b, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13045318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 509399949 to the nearest integer?\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w**(-1\/4)\/w))**(-27)\/((w**(-2\/5)*w)\/w)**(2\/57) assuming w is positive.\nAnswer: w**(-100019\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 17, 0, 112, -5 in descending order.\nAnswer: 112, 17, 12, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 25391.16\nAnswer: -7617.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 898857.27ms in hours?\nAnswer: 0.249682575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 4*u**2 - u - 4. Let f be l(-4). Suppose -n + 6 + 0 = f. Calculate the smallest common multiple of (-16)\/10*(0 - 10) and n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 408 = -30*g + 78 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -567*a - 42. Let y(o) = 2*o**2. Determine y(f(i)).\nAnswer: 642978*i**2 + 95256*i + 3528","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d + d - d + 20. Let p be i(12). Suppose -2*t + 2*u + 8 = -7*t, -2*u - p = -4*t. Is 1 at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -172 - -180. Factor 1815*b**2 + 1811*b**2 - 3624*b**2 - j + 6*b.\nAnswer: 2*(b - 1)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -31114450?\nAnswer: 31114442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 25.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a40b2 (base 12) to base 8.\nAnswer: 3524606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 586, 2224, 4954, 8776?\nAnswer: 13690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17\/5 - -163\/45. Let t = -25.011 - -25. Let o = t + 2.011. Sort s, o, -0.16.\nAnswer: -0.16, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -802779636*r + 185262465 wrt r.\nAnswer: -802779636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwjwxhjw. What is prob of sequence jx?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -36.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5a7de + -3?\nAnswer: 5a7db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2153 + 2151.717. Let t = f + 0.073. What is t rounded to one dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 7*z - 7. Let p be c(4). Let w = p + -18. Solve -w*k + 14 = 2*a - 0*k, 0 = a - 2*k for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -367 + 4039\/11. What is the closest to 0.4 in 2, u, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 4*x - 355, -5*b = -0 - 5. What is the greatest common divisor of x and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 1)*(3*v**2 - 6*v**2 + v**2) + v - v**2 - v + v + 2*v**2 - v - 153*v + 153*v - 73*v**2.\nAnswer: -76*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*f + 7*f**3 + 1\/2*f**4 + 25\/2*f**2 + 0.\nAnswer: f*(f + 1)**2*(f + 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19933 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - j = 0. Put j, 15, -1 in descending order.\nAnswer: 15, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 4 - (-4 + -1) - 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28423 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/9 - 2357734*w**2\/3 + 2084611146128*w\/3 - 106313124306976\/9.\nAnswer: 2*(w - 1768292)**2*(w - 17)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26.6 + -29. Let u = 9 + -14. Let n = -4195.9 - -4196. What is the third smallest value in u, n, 5, s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (80\/32)\/(2\/4). Let i(l) = -l + 5. Let g be i(b). Let 2\/3*m**2 + g - 2\/3*m**4 + 2\/3*m - 2\/3*m**3 = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6*(-80)\/300*(-10)\/4. Solve -2 = -2*l - z, -k - 4 = l for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-3 - -6) + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72315440?\nAnswer: 2, 5, 97, 9319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 3:51 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51.9 - 16.1. Let i = o - -146. Let l = i + -77.99957. What is l rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-145)\/(-58))\/((-2)\/(-12)). Solve -3*k + 0*k + m = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 655*i**2 - 4*i - 304. Let r(o) = o**2 - 2*o - 10. Let g(n) = -p(n) + 2*r(n). Find the first derivative of g(s) wrt s.\nAnswer: -1306*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -2\/25*z**5 - 26\/15*z**3 + 6\/5*z**2 + 0*z + 4\/5*z**4 + 30. Factor d(k).\nAnswer: -2*k*(k - 6)*(k - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 - -24.9. Let g = m - 25.5. Let u be (-12)\/18*(1 + 12\/(-15)). What is the closest to 0.1 in -0.3, u, g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15.5 + 14. Let d = -6.5 - r. Which is the third biggest value? (a) d (b) -0.3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + r - 2. Let q(z) = 17*z**2 - 3*z + 7. What is 3*g(b) + q(b)?\nAnswer: 20*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 42 - 52 - (25 + -2)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -10.2. Which is the closest to j? (a) -1 (b) 0.32 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 30*f**2 - 8*f. Let d(g) = 2*g**3 + 30*g**2 - 6*g. Let o(q) = 3*c(q) - 4*d(q). Find k such that o(k) = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106280819 + 4*y + 106280819.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1970 + -1969. Is b smaller than -5\/263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 16*x + 478 = 522, 0 = o + x + 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (-8 + 7)) + -3 + 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10.1 - 10. Let x = -0.3 + z. Let l = 23 - 22.5. What is the third biggest value in x, 4, l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-4*(0 + 1*sqrt(704) + sqrt(704)*5 + -2)**2.\nAnswer: -768*sqrt(11) + 101392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 6*o**2 + 199 - 405 - 8*o + 211 - 13*o**3 + 12*o**3. Give d(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -l**5\/60 - 5*l**4\/12 - l**3\/3 + 16*l**2. Let y be m(-9). Suppose -12*a + y*a = -20. Solve -6 = -a*w + 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - 11. Let p = f + -11.5. Which is the nearest to -0.2? (a) -1\/5 (b) p (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o**4\/8 - 15*o**3\/4 + 9*o**2\/8 + 455*o + 450 = 0. What is o?\nAnswer: -9, -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4.5*380.113\nAnswer: -1710.5085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 650089459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -136 - -135.7. What is the closest to 1 in w, 33, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + 2*r + 5*i - 149, -268 = -4*r - 4*i. Let o = 63 - r. Calculate the greatest common factor of 8 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**11*u*u)*u)**(-2\/11)*u**(-1\/29)*u*u*u**(1\/6) assuming u is positive.\nAnswer: u**(719\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bxxy when four letters picked without replacement from yxxbxxxybxyx?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*q - 8. Let t be q\/(-3) + 93\/9. Let s = t + -8. Solve s*l + 4 = 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 952 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/1 - (-130 + -9). Suppose 0 = j*s - 138*s. Factor 2\/9*c - 4\/9*c**4 + 0 + s*c**3 - 2\/9*c**5 + 4\/9*c**2.\nAnswer: -2*c*(c - 1)*(c + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 8*z - 172 = -3*z, 4*z + 176 = 2*d. List the prime factors of 2\/(-5) - d\/(-40).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 21*k - 1. Let p be j(1). Let w = -3 - -11. Solve -x - 3*g = -w*g + 12, 0 = -5*x + 5*g - p for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2\/2 - (2 - 5242 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1305028076 to the nearest integer?\nAnswer: 36125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1925*r - 704*r + 4897*r - 171304 for r.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80365.\nAnswer: 5, 16073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 10 = 3*s + x, 5*s - 16 = -3*x for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 - -0.6. Let h = 0.03 + -0.33. Let r = h + x. Is r smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 1971.\nAnswer: -2\/1971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 239357\/24 + -9976. Calculate the common denominator of w and -149\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 585450 is divided by 146338?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 5*i - 446. Let g = -42 + i. What are the prime factors of g?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23565513 rounded to 3 decimal places?\nAnswer: 0.236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 40605?\nAnswer: -40608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (15\/(-30))\/((-3357)\/3348 - -1). Solve -4*u + 16 = -w*n + 191*n, -4 = -2*n - 4*u for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 359 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*p = -204 - 145 - 91 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 6 = 4*o. Let u(g) = -2*g**2 + 3*g**3 - 3*g**3 - g**3 + 3*g + 3. Let l be u(o). Solve -3*s - l = -2*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -0.11 (c) -1 (d) 123.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vh when two letters picked without replacement from {h: 2, v: 1, d: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1459412 is divided by 486427.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -548 + 563. Which is the biggest value? (a) n (b) -0.1 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 54\/10 - (-2)\/(-5). Suppose x - 3 = q. Let p(m) = -3*m**3 - m**2 + m + 2. Calculate the lowest common multiple of p(-2) and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.15569l in millilitres?\nAnswer: 77155.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100061 + 203053 = 27*f + 15*f. List the prime factors of f.\nAnswer: 7, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z - 17. What is s(-5)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hq when two letters picked without replacement from oolocqcoloqnoccqqohl?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2869521 is divided by 1434596?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*o**5 + 8*o - 9*o + 104*o**5 + (o**2 + o - o)*(-4*o**2 - o**3 + 4*o**2).\nAnswer: 78*o**5 - o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 652 = -45*j + j + 80 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4050 is divided by 59.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 191 and 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -2, 4, 14, -477, 8 in decreasing order.\nAnswer: 14, 8, 5, 4, -2, -3, -477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of 0*c**5 + 0 - 1\/45*c**6 - 18*c - 1\/2*c**4 + 0*c**3 + 0*c**2. Let s(h) be the third derivative of j(h). What is s(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 17*x**2 - 537*x + 807. Determine p(30).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-812)\/(-609))\/(78\/(-1)))\/(42\/(-182)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/18*35\/28*1656\/6670.\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4401 - 11*x - 17633 + 4408 + 4410 + 4414 + 7*x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(-2\/3)*r**(-1\/8)\/r assuming r is positive.\nAnswer: r**(13\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7039.4691 take away 1?\nAnswer: 7038.4691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241812 + 241891 = 4*o + c, 5*o - 110 = -5*c for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -297 + 325. Suppose -23*q + t = -18. Solve q*u + 8 = 2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74, 300, 678, 1208, 1890?\nAnswer: 2724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -20*k - 13. Is j(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 2*f + 16, 13*f + 3*q = 12*f + 12. Suppose -12*t + 6*t + 96 = f. Calculate the remainder when 63 is divided by t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.1 (b) 4 (c) 8043\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - y + 9209 + 42856 = 0, 2*y - 31232 = -3*r. Calculate the greatest common factor of 254 and r.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 223 + -237 + 33 + 2?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a - 4*a - 3*a)*(-103*a**2 - 249 + 249) + 0*a**3 - 2*a**3 - 4*a**3.\nAnswer: 200*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2340 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 4*o**2 - 4. Let m(k) = -k**3 - 6*k**2 + 13*k - 18. Let q be m(-8). Let f(g) = 2*g**2 - 18*g + 32. Let l be f(q). Determine y(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, l: 14, k: 1}. Give prob of picking 1 q and 3 l.\nAnswer: 26\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9208240 + 188*x**3 + 9208240.\nAnswer: 188*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 7*l. Let p(u) = 2485845*u. Determine v(p(h)).\nAnswer: 17400915*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12956850331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30686*c - 11*h - 7*h - 445 = 30687*c, 55 = c - 2*h for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 2:42 AM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 38377 divided by -3?\nAnswer: -38377\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 77 + 684*t + 83 - 162 + (-2 + 2 - 2)*(-t + 2*t + t) + 1 - 1 + t + t + 3 - 3 - 2*t + t + 0*t in the form z + i*t and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a**2 - 34*a - 33. What is the remainder when 50 is divided by f(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*x + 16 = -31*x. Let i be (-6)\/4*x\/(-3)*1. Solve 2*g = -2*c + 16, c - 4 = -2*c + i*g for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 9*b**2 + 3*b - 2. Let s(a) = 5*a**2 + a - 1. Let x(z) = 3*d(z) - 5*s(z). Let y be x(-3). Solve y*v + 6 = 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4 or -9.4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1202 - -10?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 333373 + -182384. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -579416.76 rounded to the nearest ten thousand?\nAnswer: -580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2544, -8380, -18108, -31728, -49240?\nAnswer: -70644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k**2 + 3*k**2 - 3*k**2)*((2 - 1 - 2)*(4*k - 2*k + 3*k) - 3*k + 5*k + 2*k) to m*k**2 + j*k + g*k**3 + z and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -7, -10 in increasing order.\nAnswer: -14, -10, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 186 + -144. Calculate the remainder when 83 is divided by p.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 27*b**2 + 47*b - 179. Let d be p(4). Is d at least as big as 440?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.61 + -3.61. Put 5, 0, -0.35, r in ascending order.\nAnswer: -0.35, 0, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 76*b**3 - 2*b + 1. Let c be 13 - (-9 + 6 - -6). What is the remainder when a(1) is divided by 16 + (4 - c)\/(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10439855 - 20336*m - 4*m**2 + 6009985 + 610597 - 14298151 - 7729632.\nAnswer: -4*(m + 2542)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -27, -50, -69, -78, -71, -42?\n\"Answer: p**3 - 4*p**2 - 18*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vcvcc. What is prob of sequence ccc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 558 times 3\nAnswer: 1674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -828 divided by -6\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60 + -4 + -25 + 0 + -8?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wegleeew. What is prob of picking 1 l and 1 g?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -19. Calculate the least common multiple of 52 and (j - 35\/15)*-3.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/12)\/(((-6)\/32)\/(600\/(-160)))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18608.37 centuries to months.\nAnswer: 22330044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 1:14 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2986.341km in meters?\nAnswer: 2986341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 879*l + 323 = 860*l for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28436 - 28431. Solve -15 = -5*j, a = -3*a + m*j + 1 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3647310*3\nAnswer: -10941930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*r**2 + 19*r - 19*r)*(5 - 14 - 2*r + 4*r) + 5 + r**3 - 5 + (3*r**2 - 5*r**2 + 0*r**2)*(-r + r - r).\nAnswer: -37*r**3 + 180*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 - 14. Suppose -n = -2*v + 4*x - 0, v - 17 = x. Suppose 0 = -8*i + 4*i + v. What is the remainder when 12 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 7 = g + 5, -g - 9 = 3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 16337?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + d - 7 + d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -53 (b) 1 (c) -7 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - -0.01. Let k = g + -0.01. What is the closest to k in 2\/7, 0.4, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3727468*g*s**3 - 2*g*s - 3*g - 1654*s - 1 wrt s?\nAnswer: 22364808*g*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 41425608?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1890, -1336, 212, 3264, 8330, 15920, 26544?\n\"Answer: 85*w**3 - 13*w**2 - 2*w - 1960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by (16\/12)\/((-6)\/(-81)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 70*x**2 - 107*x + 34504. Determine u(63).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h**2 - 12*h - 1. Suppose -7*r = -11*r + 20. What is the remainder when t(r) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 3. Let o = 2 + j. Does 2 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = n - 4*n. Solve -15 - 10 = -n*b + 4*h, -2*b + h = -10 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 159 - 159. Sort f, -4, -7.\nAnswer: -7, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-8)*2 - 6\/(-1). Solve s = -6*w + 11 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -3 (c) 4 (d) -0.6 (e) 0.12 (f) 12 (g) 26.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.06 - -0.96. Let p = 8318 + -8317.8. Sort -5, -2\/7, s, p in increasing order.\nAnswer: -5, -2\/7, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 44 - 74 = 5*b, 9*b + 3*l = -66 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (1 + 68 + -52)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 630*z - 636524 = -653534 for z.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1506, -3011, -4520, -6033, -7550, -9071, -10596?\nAnswer: -12125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (342\/(-95))\/((-8)\/(-20))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -737*j**2 - 128 - 84106*j + 536*j**3 + 84934*j + 18*j**4 - 517*j**2 = 0?\nAnswer: -32, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -23*h. Let u(v) = 2394*v. Suppose 3*j - n + 632 = 0, 2*j = -4*n + 102 - 500. Let w(d) = j*a(d) - 2*u(d). Let k(y) = 3*y**2. Determine k(w(l)).\nAnswer: 1083*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -1. Let i be 0 - (3 + (-3)\/t). Solve i = 2*b - j + 5, 0 = 3*b - 0*j - j + 8 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 80?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41271 = -93*q - 44898 for q.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/8 and -39\/640?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 95, 92, 109, 164, 275, 460, 737?\n\"Answer: 3*n**3 - 8*n**2 + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 1:27 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -592*b + r = -588*b - 36, 0 = 6*b + 3*r - 54 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/(-6) + 102932\/(-144)*-6. Let b = -68709\/16 + h. What is the common denominator of 89\/45 and b?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4635?\nAnswer: 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*h - 5*l + 51, 0 = 2*h - 4*l - 28. Let a = h - -39. Suppose s = 7 + a. Calculate the greatest common factor of s and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 72514 + -42137. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14252572 from -1.\nAnswer: -14252573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*d + 145 = 79 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2493569 divided by -4?\nAnswer: 2493569\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117966*f - 2650 = -117913*f for f.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -382 + 386. Suppose -l*h + 7*h = 39. Suppose -w - 3*w + 92 = 0. Calculate the remainder when w is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 128 and 128?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-50)*-5)\/3.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -10*h - 63. Give o(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*u**3 + 5*u + 137 wrt u?\nAnswer: 9*u**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k + 126 = -2*k - 10*k. Let l(f) = 4*f - 5 - 5*f**2 - 5 - f**3 + 3. Give l(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(190)*-2*6)\/(sqrt(90)\/((sqrt(9) - 2*sqrt(9))*6)).\nAnswer: 360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2*(1 + sqrt(567) + -1) + -5 + -5 + sqrt(567) + -3 + -2*sqrt(567) + -5*(1 + sqrt(567)))**2.\nAnswer: 1296*sqrt(7) + 9394","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14443041 + 14443041 + 211*a**3.\nAnswer: 211*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -974233 times -0.3\nAnswer: 292269.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38 and 618678.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5344)\/(-192) + -22)*(-1)\/7.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 812576*d**2*r**3 - d**2*r**2 + d**2*r - 57*d**2 + 7*d*r**3 - 37*d*r**2 + 3*r wrt r?\nAnswer: 4875456*d**2 + 42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2478 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -887919*h + 1399620?\nAnswer: -887919","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-359)\/(-120) - (-3)\/(-15). Let u = -458\/3 + 150. Let p = x + u. What is the nearest to -1\/3 in 0.1, p, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxhexhhxhxhex. Give prob of sequence xe.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 1\/4, -5, 4, -174?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 16*d**2 + d. Let n(l) = -7905*l. What is y(n(x))?\nAnswer: 999824400*x**2 - 7905*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 18*-1\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/7 in 29, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l + l - 3*l + 4*l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -387*c - 19. What is the hundreds digit of d(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -59\/4981541 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 302211 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + v + 1. Let g(m) = 3*m**3 + 5*m - 36. Let k(l) = -2*l**3 - 4*l + 24. Let w(u) = 5*g(u) + 7*k(u). Determine 3*i(a) + w(a).\nAnswer: -2*a**3 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -669 + 2582. What is the hundreds digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r + 8 = 6*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 10 = 4*i. Let k be i + -3 - ((-15)\/(-5))\/3. Let u(x) = -x**3 - 3*x**2 + 9*x. Calculate u(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -443032 divided by 110758?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 0.127, -20\/13451 in descending order.\nAnswer: 0.127, -20\/13451, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 0.52?\nAnswer: 0.52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 0*s + 4*s)*(2 - 4 + 0*s - 3*s).\nAnswer: -3*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/6 - 55*g**2\/6 - 317*g + 1404.\nAnswer: (g - 78)*(g - 4)*(g + 27)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-13 - 3)) + (79 - -67) + -24.\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -m - 3. Suppose m*k - 154 = -0*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 16475?\nAnswer: 8237.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 12*j**2 - 30*j - 57. What is q(16)?\nAnswer: 487","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -518 + 763. Let d(c) = -c**3 + 11*c**2 - 3*c + 17. Let q be d(11). Let a = x + q. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-35.\nAnswer: -10.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*o**3 - 4*o**3 - 9*o**3 + 26*o**2.\nAnswer: o**3 + 26*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 50\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -114873\/7 + 16411. Which is the second biggest value? (a) -3 (b) -30\/17 (c) 5\/6 (d) -2 (e) r\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -111*r + 222*r - 111*r - 4934*r**4 - 632 - 1483*r**4 wrt r?\nAnswer: -25668*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.59421 to one dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.502 times -42?\nAnswer: -21.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 872 is divided by 430?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4*1*(-1 + sqrt(800) + sqrt(800) + -1 - sqrt(800)).\nAnswer: -80*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a factor of 2337510608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 9 + 8 - 8 + i. Let t be r(-8). Let s be (-1)\/(-1*t\/5). Solve -4*b + 1 = -s*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {a: 5, c: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2473\/18 - 138. Find the common denominator of v and (260\/(-16))\/((-1)\/(-2)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1730 is divided by 51.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 18*b + 8. Calculate z(18).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/230219 and 57\/44?\nAnswer: 920876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1724 + -1724.0002296. Round p to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1810 by 3.\nAnswer: -1810\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 49*d**2 + 12*d + 591. Let o be c(-49). Put -6, -5, o, 2, -3 in ascending order.\nAnswer: -6, -5, -3, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*m**3 + 175*m**3 - 272*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*c**3 - 2927105*c**2 - 2251*c + 896 wrt c?\nAnswer: -18*c - 5854210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 0)*(-154)\/28.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -10*m**3 + 229*m**2 + 13*m + 230. Give n(23).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 - 4)*(-v + 7*v + 4*v)*(192*v**3 - 223*v**3 + 3 + 0) to d*v**4 + j*v + h*v**3 + t + q*v**2 and give j.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of d**5\/40 + 57*d**4\/8 + 3249*d**3\/4 - 779*d**2. Factor b(v).\nAnswer: 3*(v + 57)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - 3 - (-5 - 29).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 139 - 141. What is the closest to 1 in v, -3, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1917 - -23404277.\nAnswer: 23402360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31133 - 1002331233?\nAnswer: -1002300100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q + 0 - 5061*q**2 - 5857*q**2 - 2 + 11718*q**2 to the form d*q + t + x*q**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.3 + -7. Let n = 7.7 + -8. Which is the second biggest value? (a) -2 (b) s (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36165 divided by 7233.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -2, -4, -0.4, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4*d + 31 = -5*h, 2*d - 4*h - 68 = 0. What is the remainder when 285 is divided by d?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63.3 + 63. Let z = -0.1 + 0. Let w = z + 0.6. Which is the closest to y? (a) -0.5 (b) -1\/5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - 83\/(-2))*24. Let p = 1801\/2 - z. Find the common denominator of p and 56\/6*10\/(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5671, 5647, 5607, 5551, 5479, 5391?\n\"Answer: -8*y**2 + 5679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 111630 a multiple of 196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/143 (b) -7 (c) -0.4 (d) -3 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y**2 + y + 5*y**2 - 4 + 3. List the prime factors of w(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 34*u - 4. Let m be y(6). Suppose -2*g + 2*z + 22 = 0, 15 = 2*g + z + 2. Suppose -m = -g*s - 2*s. Calculate the remainder when 57 is divided by s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111 (base 2) to base 12.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*47768\/(-48) + 4\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 266\/741*6 + (-1 - 1)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g + 4. Give s(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of 337*k**3\/3 - 3*k**2 - 3*k + 16. Let a be d(3). Is (a\/(-8))\/(2\/(-4)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -786*c**2. Let w(m) = -m. Determine f(w(z)).\nAnswer: -786*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 1)*(-r - r + 6*r)*(3*r - r - r).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 43 - -10561?\nAnswer: 10604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 580 and 4234?\nAnswer: 42340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -82, -94, -106, -118, -130, -142?\n\"Answer: -12*r - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3 = 13. Let v(g) = -g**2 - 12*g - 33. Let s be v(-6). Suppose 4*i + 2*n = -d*n + 92, -9 = -s*n. Solve m + 4*m = -i for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -5*t**3\/3 + 14795*t**2\/3 - 3715465*t + 833267175 = 0?\nAnswer: 507, 1945","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rdd when three letters picked without replacement from rrrdrdr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 459, -1\/2, -3\/2 in descending order.\nAnswer: 459, -1\/2, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -34, -46, -52, -46, -22?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/10*4\/6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.32 + 0.23. Let j be (-48)\/480 + (-2)\/(-20). Which is the nearest to o? (a) 2\/7 (b) -3\/7 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 96*t + 676. Let u be z(-7). Solve -16*q + 13*q - 1 = -4*n, 2*q + u = n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -22363?\nAnswer: -22363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8 and -1917974061051?\nAnswer: 1917974061043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 33320 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19046 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -3*y**2\/8 - 49684755*y\/4 - 822858293136675\/8 = 0.\nAnswer: -16561585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16\/7 + -57\/28. Is g <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2330 + 4477. Let o be 4\/(-30) + n\/15. Calculate the highest common divisor of 13 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -10\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39707 and 118?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4092 = -5*z. Let n = 724 + z. What is n rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -15.9. Let q = 6.5 - y. Round q to 0 dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 592a66 (base 11) to base 4.\nAnswer: 3211232220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2831102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 12:53 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59790*h**2 - 141 + 319 - 178.\nAnswer: -59790*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 8 - 10 + 3*z**2 to f*z**2 + t + p*z and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -55*p + 53*p + p**2 + 0*p**2 - 4. Give n(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k**2 + k. Let d(c) be the second derivative of c**3\/3 + 54*c + 2. Calculate d(v(h)).\nAnswer: -8*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7973.511 meters?\nAnswer: 7973511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 326 in descending order.\nAnswer: 326, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1021181280 by -21.\nAnswer: -48627680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 1958 = 5*w - 1970, -5*o + 15 = w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/6*j**4 - 731\/6*j + 0 - 733\/6*j**3 - 1463\/6*j**2.\nAnswer: -j*(j + 1)**2*(j + 731)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**5\/13 - 68*t**4\/13 + 384*t**3\/13 - 252*t**2\/13 - 54*t = 0.\nAnswer: -39, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 + 1120233030211?\nAnswer: 1120233030231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -73 - 0?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {y: 3, f: 1, c: 2, h: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -c + 5*c + 11, -2*c + 5*v - 33 = 0. Let t(r) = -r**3 + 3*r - 2. Let z be t(2). Is z greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 26 = -4*n, 5*n - 78 = 23*s - 29*s for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 16*n + 47. Is i(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10791170.\nAnswer: 2, 5, 13, 83009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.6 - 10. Let k be ((-141)\/329)\/(2\/14). What is the smallest value in g, 11, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 3, u: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(-1 - 44\/(-32)). What is the second biggest value in 2\/5, -0.9, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -32*o + 464. Let y be d(15). Are y and -163\/11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4*v**2 - 31*v + 5. Let h be z(-8). Let t(k) = 9*k**3 + 11*k**2 - 7. Let p(x) = -4*x**3 - 5*x**2 + 3. Determine h*t(i) - 7*p(i).\nAnswer: i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 0, 7, 5 in descending order.\nAnswer: 7, 5, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 707\/404*2\/14*-10. What is the nearest to -0.074 in -1\/4, y, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - (-12 + -3 + 10) - 18?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 9*q**2 - 10*q + 4. Let c be n(-8). Let y be (-6)\/10 + 412\/c. Factor y*r + 4*r**2 - r**2 + 12*r**2 - 5*r**3.\nAnswer: -5*r*(r - 4)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (7 - (-4 + 9))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - ((-6)\/(-6) - 4). Let c be 6\/3 + (2 - 0). Suppose -p*d - 337 = -5*b, 2*b - 180 = c*d - 38. Does 23 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1191377.\nAnswer: 11, 17, 23, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 579 + -478. Differentiate 106*l - c - 63*l + 7 - 21 - 71*l wrt l.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104 (base 5) to base 13\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -310 + 360 + (-44 - -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*m**2 + 0*m**2 - 4*m**2)*(133 - 44 - 815) in the form v*m**2 + o + y*m and give v.\nAnswer: -1452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13.39 + 14. Let c = -0.6415 + w. Round c to three dps.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 201043836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6\/13 (b) 0.8 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2895 divided by 579\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (64\/78 + 6\/(-39))*75. Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 104 - 186. Let w = z - -52. What are the prime factors of 3\/w*-5*374?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of 19*y**3\/6 - y**2\/2 - 8*y. Let q = 2 + 0. Is u(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f**2 + 6*f - 23. Let t(l) = -7*l**2 + 14*l - 45. Determine -5*h(a) + 2*t(a).\nAnswer: a**2 - 2*a + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -7725226\/75 and -103003 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-90)\/4455*99\/22?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3\/9)\/(1\/108*-6)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*a - 3*a**2 - 1210 + 2409 - 1194 in the form q + l*a**2 + g*a and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 399 + -398. Which is the second biggest value? (a) r (b) -4 (c) 257\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g**3 - 26*g**3 + 4*g**3 + 11*g**3 + g**3.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -11. Which is the closest to 0.2? (a) -3 (b) n (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1.94, 0.1, 2, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8 + -7 + 4*1. Let t be 30\/q*20\/(-6). Is ((-88)\/t)\/((-2)\/(-30)) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2171 - 2171 + 3*v**2 - 90*v**3.\nAnswer: -90*v**3 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 83, 46, -51, -238, -545, -1002?\n\"Answer: -5*m**3 - 2*m + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t**4 - 76411184*t**3\/3 + 486555778827214*t**2\/3 - 324370459787224*t\/3 - 162185242628809\/3 = 0. Calculate t.\nAnswer: -1\/3, 1, 12735197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j - 7*j - 3 + j + 3*j + 6*j**2 - 5. Let p be i(-2). Solve -4*o = -p + 12 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k - 4 + 4 + (-2 - 3 + 3)*(0*k + 0*k - k) - 119 + 119 + 19*k + (3*k - k - 3*k)*(3 - 4 + 0) to the form x + h*k and give h.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 43, 3 in decreasing order.\nAnswer: 43, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3403370*x**3 - 34*x**2 - 9913 wrt x.\nAnswer: 20420220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 6*g + 13. Let z be n(-7). Suppose z*h - 18 = -0*h. Let l = -9 - -4. Sort 0, h, l.\nAnswer: l, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 42, 37, 38, 51, 82?\n\"Answer: b**3 - 3*b**2 - 3*b + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/16150 and 99\/152.\nAnswer: 64600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 11*z = 7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24177400 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 6 = f, -p = -46*f + 42*f - 17. Let q(g) = -g**3 - 8*g**2 - 6*g + 2. Let b(t) = 3*t + 0 + 0 - t**2 - 4*t. Determine p*q(i) - 6*b(i).\nAnswer: -i**3 - 2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(((-152)\/(-48) + -3)\/((-2)\/(-104))).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -8*q**2 - 3751*q + 116069. What is u(-498)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00081440248 rounded to seven decimal places?\nAnswer: -0.0008144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 412*y + 27238. Calculate x(-65).\nAnswer: 458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -1. Let c = 31 + t. Is 26 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5450.585mm in micrometers?\nAnswer: 5450585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1847)\/(-3))\/(11\/33) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**5 - 7647*o**4 - 99305*o**3 - 481077*o**2 - 1030698*o - 824472.\nAnswer: -(o + 3)**3*(o + 4)*(o + 7634)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5*((sqrt(112) - (sqrt(112) + -1))*-4)**2.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -11. Is t\/(32\/74)*4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*p - 146*p - 30*p as v + a*p and give a.\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 164 and 644.\nAnswer: 26404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 43*t**3 + 44*t**2 - 109*t + 19. Let q(w) = 132*w**3 + 132*w**2 - 328*w + 56. Let i(x) = -3*q(x) + 8*v(x). Determine c, given that i(c) = 0.\nAnswer: -2, 2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 5*s**3. Let z(v) = 11*v**3 - 3*v**2 - 3*v - 3. Let g(b) = 21*b**3 - 7*b**2 - 7*b - 7. Let u(c) = 3*g(c) - 7*z(c). What is 6*u(j) + 17*x(j)?\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11575387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3*24\/18)\/((-2)\/4). Let a(m) = -m**3 + 8*m**2 - 3*m + 11. Determine a(c).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 16) to base 3\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/11 (b) 5 (c) 2\/3 (d) 32\/3 (e) 12708\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47 + 53. Let y be (-266 - -20)*(-2)\/z. Let d = 48 + y. List the prime factors of d.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*r + 9 + 360 = 78 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47 by 47.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -9861 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/(-36))\/(24\/216))\/((-6)\/27)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**3 + 3140*m - 3140*m.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -164*t - 141. Let j be i(4). Which is bigger: j or -796?\nAnswer: -796","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 416 - 420. What is the nearest to -4\/9 in 2, -0.04, h?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 13 = 14*s. Let f be 1 - s*10\/(-5). Suppose -2*i + 12 = -4*o - 16, -o + 42 = f*i. Calculate the remainder when 54 is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -298 - -298.5. Sort k, -5, -0.3, -0.04 in decreasing order.\nAnswer: k, -0.04, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = v + 10, -z - 7 = -5*v - 2. Let o(g) be the first derivative of -g**3\/3 - 5*g**2\/2 + g - 2. Let i be o(z). Is i at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 395226616?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 5 (c) -1 (d) 7\/4 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -7. Let s = 7 + i. Is 6 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -84\/11*g - 160\/11 - 2\/11*g**2 = 0.\nAnswer: -40, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257170403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 15898, 16519, 17554, 19003, 20866, 23143, 25834?\n\"Answer: 207*l**2 + 15691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 23*a**2 - 7*a - 10*a + 37*a - 15*a as x*a + g*a**2 + i and give g.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 225 = -5*m, -2*m - 5*q - 69 = -2*q. Calculate the common denominator of (26\/(-3))\/((-8)\/m) and ((-1)\/(-3))\/((-40)\/(-6)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1526\/13080*(-16)\/(-14)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 42 - -307?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/18)\/(((-8)\/96)\/((-165)\/(-2530)))\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3321, 3324, 3329, 3336?\n\"Answer: g**2 + 3320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 765294 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/5)\/(2\/10). Let b = -1 - -4. Find the third derivative of y*s**5 + s**2 + b*s**2 - 2*s**2 wrt s.\nAnswer: 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*b = -15, -5*b = -h - 41 + 16. Let c = 4 + h. What is the second derivative of -3*g + 2*g**4 - 4*g**c + g**4 wrt g?\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294*y + 277*y + 1656 = -257*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1529 + -1529.003265. Let q = f - 0.0277266. Let o = q - -0.031. Round o to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8040 and 380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -144.29990617 + 144.3. What is z rounded to 6 dps?\nAnswer: 0.000094","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1129*p**4 + 2*p**2*w**2 + 2*p*w**2 - 273*p*w wrt p?\nAnswer: 13548*p**2 + 4*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -5*k - 88. Suppose 1866 = k*w - 4*f - 838, 5*w + f - 3350 = 0. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(44)*5)\/sqrt(4) - (-3 + 0 + (sqrt(11) + -1)**2).\nAnswer: -3*sqrt(11) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 9 in descending order.\nAnswer: 9, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2691795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18102 = -131*y + 152*y. What is the remainder when y is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 21*y**2 + 21*y + 28. Let q be 16 - (-2 - 0 - (8 - 6)). Does 5 divide k(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 d when two letters picked without replacement from rdd.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 47910960 a multiple of 1082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 1633*t - 1306. Is q(35) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.6 - 3.8. What is the closest to -1.2 in -0.4, s, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1731, 6916, 15561, 27672, 43255, 62316, 84861?\n\"Answer: f**3 + 1724*f**2 + 6*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 107*p**2 + 1214*p - 20895. Calculate g(-25).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 7:28 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000649829306 rounded to seven dps?\nAnswer: 0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 794265830 to the nearest integer?\nAnswer: 28183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*y + 67 = 4*t, -t = 5*y + 6. What are the prime factors of t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-6 - -2) - (-5 + 11).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 4 + 3 + g - 8. Let a be h(9). What are the prime factors of a\/(-36) + 166\/18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 404 (base 6) to base 9.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1521978 divided by -29?\nAnswer: 52482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1896.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1936, -16158, -46314, -88532, -142812, -209154?\nAnswer: -287558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (16\/(-4))\/(-2)*375\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 427 + 3987 = 0. Let f = w + 172. What is the units digit of (f\/(-10))\/((-2)\/(-5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**5\/3 + 2*f**4\/3 - 2*f**3 - 8*f**2\/3 + 5*f\/3 + 2 = 0.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a week in minutes?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36249710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 468951 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -16. What is the remainder when v is divided by (-2 - 0)*6\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 350308289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 7) + -12 + 9 + -2 + -1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 f when two letters picked without replacement from octfa.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1153113 (base 10) to base 8\nAnswer: 4314131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -18920, -72495, -161762, -286721, -447372, -643715?\n\"Answer: -17846*c**2 - 37*c - 1037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 times 0.3?\nAnswer: 26.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10 + (-56)\/7)\/(-2). What is the highest common factor of 5 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 46952078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 4*f**2 + 10*f + 17. Let n = 6403 + -6408. Calculate j(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 4*w**2 + 7*w - 17. Let m be k(6). Let n = m + -9. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of 11*a**6\/6 - 521*a**4\/24 - 68*a**2. Find the second derivative of s(u) wrt u.\nAnswer: 1320*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and -12183785375004.\nAnswer: -12183785375004.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 429\/147)*889\/254. What is the closest to 2\/11 in -2, k, -0.45?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 36, 1168.\nAnswer: -6, 36, 1168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 88482843?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 12 = -q, 0 = -5*q - g - g + 8. Let m(f) = f - 2*f - f + q*f - 4. What is m(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19 + 164?\nAnswer: 17d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2 = -3*b. Calculate the remainder when 46\/((18 - 6)\/6) is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 475158?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -g**5\/60 + 31*g**4\/3 - 7688*g**3\/3 + 576*g**2 - 2. Factor h(d).\nAnswer: -(d - 124)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4*r**2 + 4*r + 2. Let x(h) = -h**2 - h. Let b(a) = x(a) + y(a). Suppose 4*u = 5*k + 10, u + u - 4*k = 8. Suppose 5*q + 0 + 10 = u. What is b(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 b when two letters picked without replacement from {n: 1, b: 6, g: 5, k: 3, r: 4, z: 1}?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2172, 2153, 2118, 2061, 1976, 1857, 1698?\nAnswer: 1493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/39)\/((-15)\/80*-8).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4e (base 15) in base 16?\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -5266027.18 to the nearest ten thousand.\nAnswer: -5270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 498*y - 93331 = -1395*y - 574 for y.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n + 3 - 3)*(7*n**2 - 15*n**2 - 10*n**2) to the form d*n + b + h*n**3 + x*n**2 and give h.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of c**3 + 177*c**2\/2 - 180*c - 341. Factor x(d).\nAnswer: 3*(d - 1)*(d + 60)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -23568, -47192, -70870, -94602, -118388, -142228, -166122?\n\"Answer: -27*z**2 - 23543*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8 - -1) + 15 + -11. Let y be ((-40)\/v)\/5*(-3)\/(-1). Solve -2*q + 0 - y = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 4*n + 5*s - 41 = 0, 0 = -2*n + 2*s + 16. Suppose -n = y - 7. Is (-1)\/(-2) + (-1225)\/y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/(-150))\/((-2)\/((-1568620)\/6)). Let j = z + -10452. What is the common denominator of j and -101\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 3*o**2 - o - 2. Let s = -2 - -6. Let l = s + -7. Give d(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 214 - 30 = 0. Let w = k + -84. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t. Let w(h) be the second derivative of -3*h**3 - h**2\/2 - 4*h - 73. What is w(a(j))?\nAnswer: 36*j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17028 and 79893?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Round 1.03406 to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -1 - (3 + -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44985, 89686, 134387?\nAnswer: 179088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 47 (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24 or -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, 19, -0.2, 0?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3574218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w. Let f(c) = c**2 - 16*c - 30. Let y be f(18). Suppose -9*a - 3 = y. Let l(m) = -2 + 3*m - 5*m + 2*m - 3*m. Give a*l(t) - 2*i(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272)*-1*6 + (1*sqrt(272)*3)**2 + -2.\nAnswer: -24*sqrt(17) + 2446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52.3 + -52. Which is the second smallest value? (a) 0.1 (b) -1\/9 (c) -2 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + 1 + sqrt(128) - ((sqrt(128) + 2 - sqrt(128)) + sqrt(128) + 4))**2.\nAnswer: -294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -4, 0.066, 541?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -142424.6 rounded to the nearest one thousand?\nAnswer: -142000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 t when four letters picked without replacement from bbtbbtttbttbt.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 1 + 3)*(-2*u + 0*u + u) + (0 - 17 + 2)*(-u + 0*u + 3*u) + 3*u - 4*u - u)*(-15*u**2 - 18 + 18).\nAnswer: 495*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, t: 2, i: 2}. What is prob of picking 2 h and 1 i?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 11 = 5*s, 3*s = -2*v - 540 + 545 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 271 divide 44384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 45*n - 45*n**2 - 42*n**2 + 0 - 12 + 126*n**2 - 40*n**2.\nAnswer: -n**2 - 45*n - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p + 1. Let r be h(1). Let t = 7 - r. Let i(z) = z**3 - z**2 + 5*z - 2. Let b be i(t). Calculate the highest common factor of 6 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -202 + 194. Suppose 5*b - b + 3*d + 12 = 0, 0 = 4*b - 3*d - 12. Suppose 3*h - 5*i + s = b, -i - 1 + 5 = 3*h. Solve -h = v + 1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20158305?\nAnswer: 3, 5, 1343887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -13. What are the prime factors of l\/(2 - 4) + 12?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -0.1 (b) -2 (c) -1\/4 (d) 5 (e) 85\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g + g + 3*g + (4*g - 4*g - g)*(5 - 2 + 0).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*u = 24*u + 22*u - 737 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1107 - 1057. What is the least common multiple of 70 and d?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8930, 19569, 31910, 45953?\n\"Answer: 851*z**2 + 8086*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - t = 15, -4*m = -5*t - 27. Let l be 2\/(-9) - (-43)\/(-9). Let r(g) = 15*g + 2. Let k(y) = 8*y + 1. Let o(b) = l*k(b) + m*r(b). What is o(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17 - 17 + 3*m**2 - 5 + m**2 + 5 + (2*m**2 - 2*m**2 - 2*m**2)*(0 + 1 + 1) + 285*m**2 + 197*m - 425*m**2 - 199*m - 639*m**2.\nAnswer: -779*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of s**6\/120 - s**5\/15 - s**4\/8 + s**3\/2 - 7*s**2. Give v(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -239, -478, -717, -956?\n\"Answer: -239*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/10 - 104\/10. Let k(s) = 2*s**2 + 23*s + 11. Let i be k(b). Which is smaller: 3\/37 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.6 - 2. Let r = 27 + -26.7. Which is the third biggest value? (a) g (b) -1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 2*w - 216. Let r be 2\/(-9)*w\/24. Solve 1\/2*c**4 + 0*c - c**2 + 0 - r*c**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -3 - (3 - (-1 + 8))) + -20?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 2, -43 in decreasing order.\nAnswer: 2, -1\/2, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -9*o**2 - 7*o. Let i(a) = 34*a. Determine i(b(x)).\nAnswer: -306*x**2 - 238*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -42*w**2 - 11*w + 23. Let o be b(7). Let c be o\/(-208) + (-4)\/26. Let v be (-14 + 18)*c\/8. Solve -v = 3*j + 4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1838)\/(-56) - (-7)\/(-28). Let i = o - 33. Which is the third smallest value? (a) -2 (b) i (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 196195118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(360)\/(sqrt(36)\/sqrt(4)))\/(4*sqrt(800)*-2).\nAnswer: -sqrt(5)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -769 = 176*q - 93169. What is the highest common divisor of q and 200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3) + (1280\/(-12))\/(-32)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 177826455?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (2600\/45)\/(-5)*-5*(-522)\/(-290)?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of n**4\/4 + 5*n**3\/3 + 2*n - 2. Let v be j(-5). Factor -18*a - 2 - 8*a**2 + 10*a**4 + 0*a**v + 6*a + 12*a**3.\nAnswer: 2*(a - 1)*(a + 1)**2*(5*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4521 by -2607.\nAnswer: 137\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49 - -57. What is the greatest common divisor of s and 48?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -z - 4*f, -343*z + 6 = -350*z + 2*f for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 6:38 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 2. Let i be x*(55\/60)\/(-11). Factor 0 + 1\/3*j - i*j**2.\nAnswer: -j*(j - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 182258616 by -2.\nAnswer: -91129308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 236*p + 13388. What is b(-95)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6529 - 6104 = 121*a - 11907 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -22, -0.1, 38, -6, -2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (-46 + 1)\/(30\/(-50)). What is the derivative of -10*q**3 + 70*q**2 + 0*q**3 + 216 - n*q**2 wrt q?\nAnswer: -30*q**2 - 10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/4*(21 + 17518\/(-836)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - 1563?\nAnswer: -155a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 9) to base 13\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/5 of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 491a49 (base 12) to base 10.\nAnswer: 1185177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 1183?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 693569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 498*t + 41. Let s(b) = -b. Determine n(s(z)).\nAnswer: -498*z + 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by -22?\nAnswer: 21\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3195790 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -15. Let s be (-16)\/(-209) + 86\/(-473). Sort 3\/4, -5, s, t in decreasing order.\nAnswer: 3\/4, s, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -7*m**2 - 5*m + 28. Let q(x) = -15*x**2 - 11*x + 57. What is -6*q(z) + 13*w(z)?\nAnswer: -z**2 + z + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*q + 4*q = -104 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -15?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = i - 516, c + 1032 = 2*i + 5*c. Suppose 4*s = -4*t + i, t + 0*s - 4*s - 149 = 0. Calculate the remainder when t is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -4*o**2 - 26*o - 3. Let v be a(-6). Suppose -k - 6960 = -v*k. What are the prime factors of k?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n + 4*n + 6*n + 20*n to r*n + y and give r.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*v**2 - 3*v**2 + 5*v**2)*(-367*v - 154*v + 3*v)*(0*v + v + 0*v) in the form y*v**2 + m*v**4 + j*v + l*v**3 + u and give m.\nAnswer: 518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.05 - -1.95. Let y = -164.1 + 164.4. What is the closest to 3 in -3, y, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 230 - 1?\nAnswer: 22b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1278 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: What is 253 less than -0.5?\nAnswer: -253.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 2 e, and 1 l when four letters picked without replacement from udaededela.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -3 + (5 - 1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g**2 - 1202719*g - 1961010.\nAnswer: 4*g - 1202719","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 90460480 to the power of 1\/2, to the nearest integer?\nAnswer: 9511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21.1 + -21. Let d(m) = 2*m**2 + 22*m + 1. Let h be d(-9). Let t = -37 - h. What is the third biggest value in t, k, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 1:49 PM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z - 66*z - 157*z + 4351 = 0 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -93 + 97. Suppose 2*i = -2*i + h. Suppose 5*d - 5 = -0*d. Is i at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286 is divided by 97?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 w when two letters picked without replacement from {m: 1, g: 1, w: 1, k: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 18 = 4*w, 3*m - 2*m + 10 = 3*w. Suppose 0 = 2*p - 4*p - m. Let r = -2 + 1. Which is the nearest to p? (a) -2\/9 (b) 1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1848\/4140 + (-8)\/6 - 4\/(-5).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.041 + 7.041. Which is the closest to 1\/42? (a) -0.4 (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-766)\/(-4740) - 3\/18. Let p = 6302\/3555 - w. Calculate the common denominator of p and -54\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64\/48*156\/(-8).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18183, 18064, 17945, 17826, 17707, 17588?\nAnswer: 17469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by -10636.\nAnswer: 15\/10636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**3 + 0*c**3 + 2*c**3 + (c**2 - c**2 - c**2)*(-2*c + 3*c + 0*c) - 195 - 4*c**3 - 210 + 402 + c.\nAnswer: -4*c**3 + c - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h**(2\/7))**(-2\/15)*(h\/h**(1\/4))\/(h\/((h\/h**5)\/h)))**(-28))**(7\/6) assuming h is positive.\nAnswer: h**(16331\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1688 + -3439\/2. Calculate the common denominator of h and 4\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 + 75. Suppose w = 5*w - l. Suppose 5*z - w - 60 = 3*o, -o = -z + 15. What is the smallest common multiple of 6 and z?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 259*k - 476 - 68*k - 190*k to p*k + l and give l.\nAnswer: -476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 1:07 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -43 and -145 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.1306 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -6*c**2 - 44*c - 9. Let q be z(-7). Let s be (-16 - -16)*(10\/4 - 2). Solve s*f - 2*f + q = -3*u, 4*f = u + 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2446001287?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 117681480 to the nearest one hundred thousand.\nAnswer: 117700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 15 = 5*y. Let i(b) = 2*b**2 - 4*b + 3. Let t(k) be the second derivative of 1\/2*k**3 + 22 - 3\/2*k**2 - k - 1\/12*k**4. Calculate y*i(c) - 4*t(c).\nAnswer: -2*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 12:01 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6, 25.\nAnswer: 2, 6, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 1647*j**8\/56 - j**4\/12 + j**3\/6 - 159*j**2\/2 + 123*j. What is the third derivative of v(p) wrt p?\nAnswer: 197640*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35938)\/(-1666) + (-8)\/14.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence psl when three letters picked without replacement from {o: 1, l: 2, s: 4, p: 2, a: 4, i: 1}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006889989629 to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183135 is divided by 89851.\nAnswer: 3433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*b = 2. Let s(p) = 2*p**b + 5 - 5. Let k(r) = -r - 3*r + 0*r + 3*r. What is s(k(v))?\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -207 + 207. Suppose q = w + 4*c - 18, -2*w - 4 = c - 3*c. Calculate the least common multiple of 20 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 1) + (-826 - -793) + 150?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 95*u**2 + 6*u - 6. Let g(s) = 94*s**2 + 5*s - 5. Let w(y) = 6*g(y) - 5*h(y). Let z be (2 - (-1)\/(-1))\/1. Is w(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (33 - 2)*(0 + 1). Suppose q - 3*t + 2852 = -q + 6*q - 0*q, -6*t = 0. Calculate the highest common divisor of s and q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3257*g*n**3 + 9*n**3 - 105 with respect to g.\nAnswer: -3257*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(7\/5)*f**(-14)*f)\/(f**2*f)**(9\/8) assuming f is positive.\nAnswer: f**(-559\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 6, -1, -4 in descending order.\nAnswer: 6, -1, -4, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 221 + -222. Let o(l) = -l - 1. Let d(k) = 8*k + 3. Give t*d(s) - 4*o(s).\nAnswer: -4*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 times 0.5\nAnswer: 0.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -9\/14, 1, -131, -0.3 in descending order.\nAnswer: 1, -0.3, -9\/14, -2, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of j**6\/120 + j**5\/60 - j**4\/6 + j**3\/2 + 5*j**2. Let z be f(2). Suppose 3*h + 892 = z*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*j - 3*j - 2*j + 3*j - 3*j - j + (-4*j + 5*j - 3*j)*(-4 + 2 + 4) - j + 1 - 1.\nAnswer: -17*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 4:28 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 8:45 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44589242 or 178356971\/4?\nAnswer: 44589242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5711093*r**3 + 5490365*r?\nAnswer: -34266558*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/741 and 61\/7722?\nAnswer: 146718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qeqqeeqqqqqeqqqe. What is prob of picking 3 e and 1 q?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, e: 1, m: 1}. What is prob of sequence emg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -80*u + 88*u - 176. Let a be -2*(-6 - u\/(-45)*12). Suppose -a*j + 2\/15*j**2 + 0 = 0. Calculate j.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (455666\/12 + 56\/48)*18\/4. What is h rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31589*o - 5322 wrt o?\nAnswer: 31589","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) - (1 + -1*sqrt(1008)))**2 + 3*(sqrt(84)\/sqrt(2))\/sqrt(6) + (2*(sqrt(77) + sqrt(77)*1))\/(sqrt(539)*-2 + sqrt(11)).\nAnswer: -589*sqrt(7)\/13 + 4033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3*p - 6980 - 5971, n = 5*p - 21597. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.1, 0.2, -0.065?\nAnswer: -0.065","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 77 - 71. Let d(o) = -o - 9*o + 3*o + m. What is the units digit of d(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7953988 rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 150 and 940.\nAnswer: 14100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 29419420?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -5*t**2 + 6*t. Let h(k) = -k + 33. Let j be h(27). Let f(c) = 9*c**2 - 11*c. Let n(b) = j*f(b) + 11*x(b). Let o(i) = 11*i. What is o(n(u))?\nAnswer: -11*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 41*w**2 - 17*w + 6. Is 12 a factor of s(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 5:56 PM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 5*t - 14, -3*u + u + 24 = 5*t. Suppose 0*b + t*b - 20 = 0. Suppose -b*l = -3*l + w - 13, -w = 3*l - 22. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - (sqrt(171) - (sqrt(171)*3 + sqrt(171)))*4)\/((sqrt(90)*-5 - sqrt(90))\/sqrt(10) + sqrt(9)).\nAnswer: -13*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1028 and 270260?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -960 = -4*k + 4*c, -59 = -k + 3*c + 191. What is the greatest common divisor of 94 and k?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 94, 145?\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19354 - 19129. What is the remainder when j is divided by (2\/(-5))\/((-1)\/95)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 507993498 - 507993450.0000042. Let v = y + -48. What is v rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 690580417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (13 - 14 - (1 + -26 - 0)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 455 + -838. Let t = 382.99558 + v. What is t rounded to 4 dps?\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1435 - -1772. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 72486.5 and 156.\nAnswer: 11307894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 3*a**2 + 4*a. Let t be z(3). Let h = -9 + t. Let u(k) be the second derivative of -k**3\/6 - k**2 - 2*k. Determine u(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.26869 + 198.02669. Let m = 194.8 - o. Let v = -0.058 - m. Round v to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4 + 3*d**3 - 3*d**2 - 7*d + 6.\nAnswer: (d - 1)**2*(d + 2)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -7, -1\/6, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2407589.\nAnswer: 233, 10333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51195879 is divided by 265?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -335, -334, -323, -296, -247, -170?\n\"Answer: p**3 - p**2 - 3*p - 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -28*k**2 + 442*k + 94. Give b(16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3000200 (base 4) in base 6?\nAnswer: 133012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1152623985 to the power of 1\/2, to the nearest integer?\nAnswer: 33950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*d + 107 = -112*d + 2602 + 85 for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (13 + -8))*(6 + -3).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1422 (base 5) in base 2?\nAnswer: -11101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 210075?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -5*s**3 - 4*s**2 - 4*s - 4. Let v be -4*3\/(-18)*3. Let b(d) = 3*d**v - 2 + 94*d - 91*d + 5 + 4*d**3. Calculate -3*a(o) - 4*b(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 14) in base 6?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 177380 to the power of 1\/2, to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7851084.\nAnswer: 2, 3, 654257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 490 = 5*u + 490 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5 - 1. Let u = n - -1. Let q = -0.106 - 0.894. What is the closest to 0.2 in 1, u, q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 + 6*q - 4*q**2 - 3*q)*((-1866 + 1866 + 48*q**2)*(-2*q - 4*q - 2*q) + 3 + q**3 - 3).\nAnswer: 383*q**5 - 1149*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 365*v + 8325 = 76*v + 7905 + 18338 for v.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3)*(-2 - 2 + 2*z + 6 + 7*z**4).\nAnswer: 21*z**4 + 6*z + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83248, 83206, 83164, 83122, 83080, 83038?\nAnswer: 82996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 313 - 317. Put 1, l, -14 in increasing order.\nAnswer: -14, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*2602\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -3 - -5) + (-1 - -4)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = g + 8, -i - g + 4 = i. Let -4*l**3 - i*l + 2*l - 3*l - 1 + 3*l**3 - 3*l**2 = 0. Calculate l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/7 (b) -0.068 (c) 1\/6 (d) -3\/4 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-10) - (2448\/85)\/(-18)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2285340411 rounded to the nearest one hundred thousand?\nAnswer: 2285300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = a - 3*a. Let f = 3 + -3. Let n = 2 + f. Solve -g - n*g = a for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-74))\/(68784\/28419256)?\nAnswer: 67\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/12, 4, 0.06, -3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*w**4 + 163852*w**3 + 2 + 3*w - 163852*w**3 - 2*w**4 to j + s*w**2 + n*w**4 + a*w + m*w**3 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.58 + -132.58. Let z = 130.66 + g. Let n = 7.06 + z. What is n rounded to 0 decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -89, -2, 3 in increasing order.\nAnswer: -89, -18, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 222, 211, 186, 141, 70?\n\"Answer: -y**3 - y**2 - y + 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d - 6. Let a = 13 - 9. Let y be 285\/55 - a\/22. Does 7 divide h(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**2)**(12\/5)*m**(-11)\/m*m**(-1\/9)\/m assuming m is positive.\nAnswer: m**(-374\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-10))\/((-105)\/(-175)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 10*l**2 - 177*l - 1093. What is p(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57868.93 weeks to microseconds.\nAnswer: 34999128864000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, 790, 4 in increasing order.\nAnswer: 1, 4, 6, 790","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.198, -4\/5, -11, -5?\nAnswer: -0.198","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1924793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8430 + 101303\/12. Find the common denominator of 57\/10 and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/8)\/z)\/(z*z\/(z\/(z*z**9))*z) assuming z is positive.\nAnswer: z**(-103\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*k + 5904 = 134*k. List the prime factors of k.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t**2 + 148*t + 1065. Give w(-9).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**3 + 4756*t**2 - 172188*t + 1552608 = 0?\nAnswer: -4792, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 9:01 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - a931a?\nAnswer: -a931b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 h when two letters picked without replacement from {a: 1, q: 9, h: 4, j: 2, c: 1}?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9261517 to the power of 1\/3, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-17)\/(g*g**16) assuming g is positive.\nAnswer: g**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of h**2\/2 + 2*h + 3651. Let y(m) = -m. Give -f(s) - 2*y(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.4 (b) -2167 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2174058671 to the power of 1\/2, to the nearest integer?\nAnswer: 46627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 0.01167, 7618\/9?\nAnswer: 0.01167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -26\/7, -0.4, -3\/8, 3\/8?\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 10. Suppose -2 = 4*w - w - 4*y, -4*y + 32 = 2*w. Suppose w + 3 = 3*z. What is the remainder when z is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1227 or 1282?\nAnswer: 1227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28249.3 - -28053.423. Round m to zero decimal places.\nAnswer: -196","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.5305272 litres?\nAnswer: 530.5272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j - 64 = 20. Solve -2*b = -j*b - 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/((-504)\/27)*8\/((-288)\/30)\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(180)\/sqrt(9))\/sqrt(4) + sqrt(35)\/(sqrt(14)\/(-3*sqrt(2))).\nAnswer: -2*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 157393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 4*g - 20 = 2*u, 3*u - 58 = -5*g. Let z(l) = l**2 - 9*l + 14. Calculate z(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + (-2 + 4)\/1. Let l be -3 + (-15)\/(6\/d). Suppose 2*p - f - l*f - 125 = 0, 4*f = -3*p + 179. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -105 + 1 + -3 + 4. Let t(j) = -91*j - 2. Let a be t(-2). Let w = a + y. What is the highest common divisor of 7 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 2*t + 6, -6 = -3*t + m + 13. Does 9 divide 2172\/30 - 2*1\/t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000444954163 rounded to seven decimal places?\nAnswer: 0.000445","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 5:26 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3808 and 58.\nAnswer: 110432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 2 - 2)*(-4 - 24 - 2*r + 4*r).\nAnswer: -4*r**2 + 56*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 12*s + 1440. Suppose m + 0*m = -5*c - 14, 5*m + 12 = 4*c. Let a be (-90)\/s*m\/(-3). Which is smaller: a or 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40\/17 + -1973\/918. Calculate the common denominator of n and -109\/36.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -448*v = -359*v + 1602 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from srsrhb. What is prob of picking 1 s and 1 h?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 39909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*z = 18*z + 8. Let s(x) be the first derivative of -6 - 3*x**3 - z + 2 + 3*x. What is the derivative of s(p) wrt p?\nAnswer: -18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -20634 + a06?\nAnswer: -1a729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-198)\/(-12)*(625\/(-55) - -13).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.552207 millilitres to litres.\nAnswer: 0.009552207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 8*g + 4. Let v(b) = b**2 - 7*b + 4. Let m(r) = -6*a(r) + 5*v(r). Give m(12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*y - 34*y**4 - 6*y + 398*y**2 + 3*y - 115*y**2 - y**5 wrt y?\nAnswer: -60*y**2 - 816*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 506 and 736.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.6000283 + -6.6. What is k rounded to 6 decimal places?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*d = -56*d - 271. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, s: 1, t: 1, h: 1, g: 1}. Give prob of picking 1 g, 1 t, and 1 j.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11151502 + -26?\nAnswer: 11151487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*k + 49 - 40, -4*k - 12 = 4*y. Let a be (-15)\/(-34) - 1\/2. Which is greater: a or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*m + 4*m + 33 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 10 = y. Solve -s - 15 = y*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5917 - -5937. Let z(x) = 5*x**2. Let h(i) = i + 3. Let p be h(-4). Let w be z(p). Solve -g = -w*l - 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -3. Suppose k = -3*c + 12, 8 = 3*l - 8*l + 2*c. Is l <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-87)\/(-21) + -4 + 165\/21. Solve -u*i + 10*i - 5*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 divided by 1?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*n**3 - 1 - 1 - 17*n - 99*n + 1.\nAnswer: 35*n**3 - 116*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21706 is divided by 572.\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189 + 354 - 165 - 10503*z**3.\nAnswer: -10503*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 184, 376, 570, 766, 964, 1164, 1366?\n\"Answer: y**2 + 189*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/1023709 and -45\/767.\nAnswer: 13308217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80219, -77834, -73859, -68294?\nAnswer: -61139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -205, -9, 3, 1 in decreasing order.\nAnswer: 34, 3, 1, -9, -205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -98 or -68?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31.923 + 0.077. Let c = z + -12. Let i = c + -19.28. Round i to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**3 - 3*t**2 + 3*t + 4. Let l be x(3). Suppose 0 = -a - 3*a + l. Calculate the remainder when 16 is divided by -1 - (-1)\/(1\/a).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 5*y - 8)*(0 + 2 + 0) - 5*y + 4*y + 0*y + 4*y - y - 4*y + 4*y - 5*y + 2*y + (2 + 0 + 0)*(-y - y + 0*y).\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 11 = -2*w, -12 - 4 = -4*a + 4*w. Let p(v) = 2 + 7*v + v**2 - 2*v**2 - 4*v. Let s be p(a). Solve -3*r - 8 = -s*n + n, -4*n + 14 = -3*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*x, 6*x = -g + 2*x - 11. Let i be ((-6)\/g)\/(5\/35). Suppose i = 2*v + 2*s, -14 = -4*v - 7*s + 4*s. What is the remainder when 9 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 104, 348, 724, 1208, 1776, 2404, 3068?\n\"Answer: -4*o**3 + 90*o**2 + 2*o + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5*b + 8 = 0. Let n be ((-2)\/b + 2)*20\/3. Suppose 0 = -6*o + n*o - 20. Solve -p + o = -0*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 + -2 + 44\/4. Suppose -q + 6*q = -5*t + 110, 4*t + 17 = q. Calculate the highest common factor of o and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3352242 (base 7) to base 6.\nAnswer: 12530443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 832100 to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 614 + -617. Let r = 172 - 177.05. Let d = -5 - r. What is the third smallest value in -2\/21, l, d, -2\/3?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 11 = -13. Let h(n) = 7*n**2 - 4*n. Let z(k) = -k**2 + k. Calculate q*h(g) + 5*z(g).\nAnswer: 2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**3 - 19*c + 4*c**2 - 4*c**2 + c**2 - 4*c**2 to l*c**2 + y + r*c + z*c**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, m: 1, z: 1, k: 5, o: 1, h: 3}. What is prob of sequence no?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -523009 by 1.\nAnswer: -523009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -13*l**2 - 6*l + 5. Let o(a) = a + 1. Let g be 21\/(-18) - 2\/(-12). Let f(r) = g*c(r) - 4*o(r). Is f(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k. Let x(f) = -2*f. Let j(h) = 4*r(h) + 5*x(h). Let c(z) be the second derivative of z**3\/3 + 57*z - 711. Give 3*c(m) + 2*j(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9834444 to the power of 1\/3, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 5*r**2 + 11*r + 10. Determine i(-7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -335743607*p + 172930684 with respect to p.\nAnswer: -335743607","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 9 = 3*d, 3*l = -2*d - 3 - 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4296 - 4246) + 1 + -24.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*f**5 + 5948*f**4 - 5520*f**3 - 3919760*f**2 + 3048384*f + 870912 = 0. What is f?\nAnswer: -162, -28, -2\/9, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.992104nm in meters?\nAnswer: 0.000000009992104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-3*1*sqrt(11).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -0.18?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37882065 and 130?\nAnswer: 75764130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -10. Let z(y) = -3*y**2 + 2*y**3 - j + 3 - 2 + y + 0. Calculate the smallest common multiple of 8 and z(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/(-9))\/(1\/2). Suppose -j*m = -3*h - 15, m + 5*h + 7 = -5. Find the second derivative of -1 - 5*z**3 + 1 - 2*z + 13*z**m wrt z.\nAnswer: 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -7*m**2 + 846*m - 44100. Let f(i) = 22*i**2 - 2540*i + 132300. Let q(n) = 3*f(n) + 10*l(n). Let q(v) = 0. Calculate v.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 40 - 260499?\nAnswer: -260459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u + 2*q + 11, 3*q + 2 = -4*u + 11 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -g + 99 + 5, 328 = 3*b - 5*g. Is b a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3 = -0*b. Let l = 10 + b. Let m(d) = -d**2 + 6*d - 2. Let h be m(6). Put 2, h, 0, l in decreasing order.\nAnswer: l, 2, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80410 divided by 11?\nAnswer: 7310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**3 + s**2 + 5 - 7 + s**2 in the form z*s**2 + r + m*s**3 + y*s and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.4 (b) 0.7 (c) -5 (d) 2\/293 (e) -0.04 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25 in -1\/4, -5, -2522.6, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 607 is divided by 140?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -40*i - 292 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 121*k + 82*k + 0*k**2 - 162*k + k**2 in the form g*k + v + r*k**2 and give g.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 4*h + 26. Suppose -h*z + 37 - 25 = 0. Solve a = z*a - 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g**2 + 14*g + 11. Let k(n) = -2*n**2 + 9*n + 7. Calculate 5*i(s) - 8*k(s).\nAnswer: s**2 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 11*o - 6. Let r = -20 + 10. Let i be m(r). Suppose i*u = -2*n + 56, n + 3*u - 34 = -u. Solve 0 = -3*s - 0*w + 5*w + n, -3*s + 2 = 5*w for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3 - 3838*z**2 - 1536*z.\nAnswer: z*(z - 768)*(5*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/50)\/((-573)\/3820)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + q**2 + 2. Let u be t(0). Suppose -1 = p, -o = -4*p + u*p - 86. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 i, and 1 h when three letters picked without replacement from {a: 4, h: 3, i: 2, g: 1, f: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of 86*o + 0 + 3\/40*o**6 - 1\/56*o**7 + 0*o**3 + 0*o**4 - 3\/40*o**5 + 0*o**2. Factor l(p).\nAnswer: -3*p**3*(p - 2)*(p - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -8\/25, -2, -73?\nAnswer: -8\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3542 - 1769 - 34*m - 1773. Let x(w) = -2*w + 0*w + 5*w. Calculate t(x(u)).\nAnswer: -102*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 66 - 47 + 26*o**2.\nAnswer: 26*o**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**4 + 3*k**3 - 3 + 954*k**2 - 953*k**2 - 4*k**3 to the form b + j*k + w*k**2 + c*k**4 + h*k**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 124104 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000133498 rounded to six dps?\nAnswer: 0.000133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {q: 2, z: 1, o: 1, j: 4, w: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 31*s**2 - 73*s + 438. Let z be c(29). Solve 3*r - 1 = -x, x - 4 = z*r - 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**15))\/c*c*c**(-8)*c*((c**(1\/12)\/c)\/c)\/(c*c*c*c**(-8\/9)*c) assuming c is positive.\nAnswer: c**(107\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 54\/10 + (-2)\/5. Let p(q) = -140918 + 281821 - q**3 + 4*q**2 - 140909 + 6*q. Give p(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00204226485 rounded to seven dps?\nAnswer: 0.0020423","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9697582 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + 2*a**2 + 2*a**3)*(-3 + 3 - 2*a)*(-8*a + 0*a + 15*a).\nAnswer: -28*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -q**8\/56 - 67*q**6\/30 - 49*q**4\/3 + 221*q. Find the third derivative of h(w) wrt w.\nAnswer: -120*w**3 - 1608*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 3) to base 7\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*3\/(-6)*1. Suppose -3*n = -2*z - 13, 0*n + 6*z + 21 = 3*n. Solve l = -3*m - 0*m - n for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07 and -320.37.\nAnswer: -22.4259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.1 (b) 19 (c) 19\/3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -383582 * 5.\nAnswer: -1917910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-1)\/16)\/(12\/16).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w + 14. Calculate p(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 8:18 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 19087 > 3569242\/187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34215, -34314, -34591, -35136, -36039?\nAnswer: -37390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*c - 107 + 47 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-5)\/f*f**(-3)\/f)**47)**48)**(-47) assuming f is positive.\nAnswer: f**1060320","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39*g - 182*g - 21*g - 90*g)*(3 - 3 - g).\nAnswer: 332*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 4*a + a)*(5 + 0 - 1) + 4*a + 4*a - 2*a + 0*a - 7*a + 4*a + 1 - a - 1 + (3 + 0 - 2)*(-2*a + 0*a + 0*a).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3155*p**2 - 2*p**3 + 9*p**3 + 3155*p**2.\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4116056 and 132776?\nAnswer: 4116056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 26, 116, 294, 590, 1034?\nAnswer: 1656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 14 - 7 = 0. Suppose 2*t + 5*n = -1, t - 2*n + l*n - 1 = 0. Suppose t*o - 5*k = -17, 0 = o + k - 3*k + 7. Let s(c) = -c + 1. Calculate s(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 410 + -210. Suppose -2*f + v = 192. What is the third biggest value in 1\/4, f, 1\/12, 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d - 14. Let s be w(4). Let l(z) = -z + 1. Let p(m) = m**2 + 1. Calculate s*l(u) - 2*p(u).\nAnswer: -2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*j - 84*j - 3 - 107*j.\nAnswer: -34*j - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y - 2*y - 3 - y**3 + 4*y**2 + 2*y. Suppose 410*r - 405*r = 10. Suppose c - 1 = -r*x, -2*x + 7 = -25*c + 28*c. Give v(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1226236*y**4 - 2948*y**2 - 283*y + 10 wrt y.\nAnswer: 29429664*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-18\/5)*w*w**(-1\/54)*w*w*w*(w*w**(-47))\/w*w**4*w assuming w is positive.\nAnswer: w**(-11237\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/143*297\/(-54))\/(2*-1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -5*y**3 - 20*y**2 + 21*y - 6. Is k(-7) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/6 + (-26)\/6. Let i be (-78)\/(-8) + (-1)\/h. Suppose -3*p - 1 = -i. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 7:42 AM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4080982, 4081012, 4081042, 4081072?\n\"Answer: 30*w + 4080952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*b - 3*t - 3, 4*t = 4*b + 20. Suppose -5*i + f + 53 + 42 = b, 5*f - 65 = -5*i. Calculate the common denominator of 73\/14 and (33\/i)\/((-10)\/21).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2*9\/(-12))\/(120\/40)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13346056?\nAnswer: 2, 19, 87803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.2061 times -0.33\nAnswer: -0.068013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 12*n**2. Let k(y) = 3*y**2 - 4*y - 4. Let d(c) = -10*c**2 + 7*c + 7. Let m(o) = -4*d(o) - 7*k(o). Calculate m(i(u)).\nAnswer: 2736*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 207591308 rounded to the nearest one million?\nAnswer: 208000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/4 + 2855*x**2.\nAnswer: -x**2*(x - 11420)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-14 + 22 + (-13 - -23)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 1086 = l - 7672, -26404 = -4*l + 3*c. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eem when three letters picked without replacement from {u: 7, e: 2, a: 1, m: 1, d: 6}.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2750749\/25829064 - 2\/119579. What is the common denominator of -145\/12 and l?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2*n + 24 = 0, -12 = -2*x + 5*n + 12. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**7\/(y*y\/((y\/(y**(-1\/3)\/y))\/y)*y)*((y**(-7)\/y)\/y)\/(y\/(y*y\/y**(-6))) assuming y is positive.\nAnswer: y**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52346 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 127*b - 123. Let h(m) = 32*m - 31. Let j(v) = -9*h(v) + 2*n(v). List the prime factors of j(-7).\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 15*i - 18. Determine x(15).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 5*o - 1. Let i be s(-5). Let y be 4 - 6 - (i + 0). What is the third smallest value in y, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**2\/8 + 638667*o\/4 - 135965178963\/8 = 0. Calculate o.\nAnswer: 212889","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4603452 by -109606.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (7 - (-6 + 8 + -6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*(9 - 10)\/((-25)\/(-40))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-11\/2))**(-11\/5)\/(s**(-21)\/s)**(6\/5) assuming s is positive.\nAnswer: s**(77\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3486044 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6972057103?\nAnswer: 11, 20857, 30389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -77354, -77446, -77608, -77840, -78142, -78514, -78956?\n\"Answer: -35*s**2 + 13*s - 77332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 190 = -175. Let b = 366 - c. Calculate the least common multiple of b and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4188)\/1047*18\/16\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k - 7*k + 4*k - 4*k.\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*o = 33*o + 1122. Let z(f) = -f**3 - 10*f**2 + 9*f - 8. What is the remainder when o is divided by z(-11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/346936938 and -17\/520405407.\nAnswer: 1040810814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 4*v - 132 + 114, -10 = -2*w + 2*v. Let f(m) = 5*m**2 + m + 2. Determine f(w).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 444 + -9771\/22. Which is smaller: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -662869\/40 + 16572. Calculate the common denominator of g and -123\/190.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 + -35. Suppose -2*z + 10 = -4*k, 8 = 2*z - d*k + 1. Let l be (-8)\/(-28) + (-4)\/7. What is the closest to -1 in z, 1, l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -67.093 + 0.093. Let f = 5825 - 5891.06. Let i = z - f. Round i to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.05 != 222297?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 7977492.\nAnswer: -5\/7977492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + y**2 + 33*y - 8. What is h(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/11? (a) 3 (b) 1\/5 (c) 3\/7 (d) -5 (e) -4.7 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -7*y - 10. Let x(f) = 2*f - 2. Let m(j) = -i(j) + 4*x(j). Let q(z) = 7*z + 1. Calculate 6*m(d) - 13*q(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 l when four letters picked without replacement from {l: 13, b: 6}.\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*t - 466 - 15310 = 0. Is t less than or equal to -545?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.54 + 2.46. What is the biggest value in -1\/4, 0, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 6:23 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 253866239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-15)*a*a\/a**(-8))**49 assuming a is positive.\nAnswer: a**(-245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-134815*p + 134814*p + 1027*p**3 + 5308*p**3)*(2*p + 0 + 0).\nAnswer: 12670*p**4 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -77*u + 71*u + 60 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1400 + -616. Is x even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -5*r, -36 = 4*r - 54*n + 46*n for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -5 + 1*sqrt(75) + -2 + 0 + sqrt(75))**2 - (5 + sqrt(75)*2 - (1*3*sqrt(75) - sqrt(75))**2).\nAnswer: -90*sqrt(3) + 611","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2. Let q(m) = 447019*m + 447701*m - 902502*m. Determine q(g(j)).\nAnswer: -15564*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*x + 22 - 80 = 40. What is the closest to -1 in -1\/2, 278, x?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189909 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5 + sqrt(5)*-1 + 3 + 1 + 4.\nAnswer: -sqrt(5) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7062, 15646, 24230, 32814, 41398?\n\"Answer: 8584*t - 1522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 50 divided by -113539\nAnswer: -50\/113539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 26 + -436035?\nAnswer: -436006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1.1 (b) 3\/4 (c) 5 (d) -83 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a**2 + 57776*a = 0 for a.\nAnswer: 0, 14444","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -80 + 117. Is 8 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -104, 103, 1, 0.\nAnswer: -104, 0, 1, 2, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4815128 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-119978)\/(-40) + 3\/(-12). Let l be (-210658)\/(-70) - 2\/5. Let a = r - l. Calculate the common denominator of -75\/8 and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 335394 and -94.12.\nAnswer: 335299.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3031313203232 + 3?\nAnswer: -3031313203223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x + 10. Let o be (-3)\/(((-15)\/6)\/5). Let b be (6\/6)\/(2\/o). Suppose -2*t - 30 = -5*a + b*t, 0 = -3*a + t + 16. Give d(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37247?\nAnswer: 7, 17, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.87 - 0.13. Let t = j - -7. What is the closest to -3\/5 in -0.4, t, 1\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 3*m, 3*m + 0 = 4*t - 27. Let d = -6 + -3. Let g = -9.1 - d. Which is the nearest to -0.4? (a) -4 (b) t (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((44 - 35) + -8 + 4) - 14?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b**2 + 10*b - 20. Let n be p(-9). Let f = 560 + n. Calculate the greatest common divisor of 23 and f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-1)*1\/6. Let i = -52 + 51.7. Let m = 1 + -2\/3. What is the closest to m in 2, w, i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 20 - 20 = 0. Let f = -87 + 177. Calculate the highest common divisor of f and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0914+314\nAnswer: 314.0914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8826 is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/3)\/2*(-14 + 253\/22)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*s - 3*r, 4 = -2*s - r + 17. Let y be 9\/6*(-4)\/(-3) - -1. What is the closest to 1\/4 in y, 1\/4, s?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*d**6 - 4229*d**4 + 11136*d**2 + 2.\nAnswer: -480*d**3 - 101496*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243)\/(sqrt(9)*-1) - (3*sqrt(432) + sqrt(27)))\/(sqrt(225)*-1 + (2*sqrt(144) - sqrt(144))))**2 + 0.\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65038 is divided by 193.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 2*l - u - 81 = 0, 2*l + 3*u = 23. Let w = -7 + l. Let h = -45 - -49. Solve 2*o - h = -0*o, 5*n - o = -w for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 165952898?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4*x**2 - 12*x. Let g(a) = -a. Suppose 0 = 3*c - 4*m - 20, -2*c + 4*m + m + 4 = 0. Suppose 0 = -3*h + 2*h - 1. Give c*g(t) + h*j(t).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*d**2 + 18*d**2 + d**3 + 3*d**2 - 21*d**3.\nAnswer: -20*d**3 - 25*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3126277556?\nAnswer: 2, 19, 37, 337, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6\/7 (b) -1\/7 (c) 4 (d) -0.0629\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 445.7 times 0.5\nAnswer: 222.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10906 + -7281. Is 16 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*h - 25 = 0. Let y(o) = o**2 + o - 5. List the prime factors of y(h).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*q**5 - 46*q**2 - 21*q - 2.\nAnswer: 180*q**3 - 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19\/68 + 9\/17. Which is the fourth biggest value? (a) -0.03 (b) p (c) -2 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -4888 in decreasing order.\nAnswer: -2, -4, -4888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*r**3 + 12560*r**2 + 210160*r - 78080 = 0. Calculate r.\nAnswer: -16, 4\/11, 244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(180) - (sqrt(180) - -5*-1*sqrt(180))) + 4*(0 + sqrt(180)))**2 - (5 + -3 + (sqrt(45) + -5 - (0 + sqrt(5) + -2))).\nAnswer: -326*sqrt(5) + 14590","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7680\/23 - -334. Let u = 0 - -3. Let i be -1 - -1*(u + -1). Which is the third biggest value? (a) -1 (b) i (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(48) + -3 - sqrt(48))*3 - sqrt(432)\/(-4*(sqrt(324) + sqrt(9))).\nAnswer: sqrt(3)\/7 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 13*r - 2. Let m be -5*2\/(-10)*3. Calculate the remainder when z(m) is divided by 1\/((1\/(-19))\/(-1)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -r**5\/12 + 5*r**4\/24 + 5*r**3\/6 - 2*r**2. Let d(a) = -3*a**2 + 2*a + 2. Determine 10*d(b) - 4*m(b).\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 8*d - 2. Let g(b) = 14*b - 2. What is -2*g(c) + 5*n(c)?\nAnswer: 12*c - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 4:35 AM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -100149641, -100149643, -100149645, -100149647, -100149649?\n\"Answer: -2*x - 100149639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 t when four letters picked without replacement from {t: 10, u: 3}?\nAnswer: 72\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Is -11711680 > -11711680?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 9:00 PM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1\/12, -11\/927 in ascending order.\nAnswer: -2, -1\/12, -11\/927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*t + 84*t - 405*t + 41*t + 118*t + 113*t.\nAnswer: 41*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffffwrfzfzfwfwzgg. Give prob of sequence frfz.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 w, and 2 k when four letters picked without replacement from {w: 6, n: 2, p: 7, u: 1, k: 2}?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*s*w**3 + 81*s + 39*w**3 - 2*w wrt w?\nAnswer: -18*s*w + 234*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 981919, 1963840, 2945761?\nAnswer: 3927682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36 + 38 + 32 - 192*g - 105 to the form i + l*g and give l.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*g**5\/3 + 27*g**4 - 124*g**3\/3 - 5*g**2 + 6*g = 0.\nAnswer: -3, -2\/5, 0, 3\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/42)\/(2\/(-3))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {k: 5, x: 3, q: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 3*i + 2. Let f be t(-2). Let b be ((-8)\/(-5))\/(f\/40). What is the greatest common factor of b and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -54, 14, 322, 990, 2138?\n\"Answer: 20*h**3 - 72*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1988 - 1536 = -4*k. Let g(n) = 18*n - 886 + k - 5*n. Let l(u) be the second derivative of -7*u**3\/6 + 3*u**2\/2 - 4*u. Calculate -4*g(c) - 7*l(c).\nAnswer: -3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h**2 + 47*h + 14. Let w be l(12). What is the first derivative of 13 + m**2 - 20 + 3*m**w - 19 wrt m?\nAnswer: 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*f + 5. Let n = -61998\/19 - -3262. Is f greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = -0*t + 5*t. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.55 + 453.45. Let b = x + -454.9998912. Round b to six dps.\nAnswer: 0.000109","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -10*p + 0 + 0*p**5 - 29\/6*p**3 + 0*p**4 - 27\/2*p**2 + 1\/15*p**6. What is the derivative of b(r) wrt r?\nAnswer: 8*r**3 - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000115056723 to six decimal places.\nAnswer: 0.000115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 + 38. Let z = -1744 - -1745. Which is the nearest to z? (a) -46 (b) d (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-456)\/(-60) - (-2)\/5. Let p(g) = 41*g + 50. Does 12 divide p(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g - 18. Let w be y(10). What is the third derivative of 6*a**2 - 6*a**5 - 15*a**2 + w*a**5 + 2*a**5 wrt a?\nAnswer: -120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -c**4\/24 - c**3\/6 - c**2. Suppose -31 + 20 = m + 2*d, -m = -2*d - 9. Let x(u) = -2*u - 1. What is m*x(h) + 3*y(h)?\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1440479*0.3.\nAnswer: -432143.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -954, -3726, -8162, -14112, -21426, -29954, -39546?\n\"Answer: 25*b**3 - 982*b**2 - b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -29733 - 4?\nAnswer: -29737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q + 29515 - 306573 = s, -3*s + 79143 = 2*q. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 637 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, o: 1, q: 1, z: 1, u: 1}. Give prob of picking 1 z, 1 u, and 1 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8178*y + 106699 + 164202 = -118277 - 150570 for y.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 12) in base 11?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + 0.1. Let z = -30\/13 - -167\/78. Let i = 0.0898 + 0.0102. Which is the closest to z? (a) 1\/2 (b) i (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*n - 4*d, 3*n + 4*d = 2*d + 15. Suppose -39 = n*h - 147. Calculate the greatest common divisor of 396 and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 574768022?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 17. Calculate the common denominator of 2\/r*23\/2 and 49\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*6)\/(7833\/373).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 13 - 5. Let q(t) = -3*t + 26. Let x be q(y). Let o(i) = -i - 2*i**3 + 2 + 0 + i**2 + 0. Calculate o(x).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 866028 - 432730. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225 = -5*i + a, -4*i - 6*a + 180 = -5*a. Let v be ((-9)\/(-3))\/((i\/(-318))\/(-5)). Let l = v - 96. Round l to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of h**4\/12 - h**3 - 5*h**2\/2 + 4*h. Suppose -2*n + 10 = 0, 3*l - 3*n + 4 = -20. Let c = 9 + l. Calculate s(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133996465 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**2\/2 + 254940*x + 1019752 = 0. Calculate x.\nAnswer: -509876, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is 928248.1ml in litres?\nAnswer: 928.2481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*q - 176. Suppose -53 - q = -5*r. Suppose -3 = -5*p - s + r, -4*p + s + 13 = 0. Is 3 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-1))\/((-25)\/5)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of r**4\/4 + r**3 - 5*r**2\/2 - 2*r - 9. Determine m(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 14*x**3 - 6*x - 12. Let g(v) = 910 + 2*v - 5*v**3 - 449 - 10*v**2 - 457 + 10*v**2. What is 11*g(t) + 4*w(t)?\nAnswer: t**3 - 2*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*u + 1 - 2 - 52*u + 1.\nAnswer: -23*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -8. Let l be (-2 - 6)*(1 + i). What is the highest common divisor of 16 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1409790*f**5*q**3 + 5925*f**2*q**2 - 2*q**3 - 49 wrt f?\nAnswer: -84587400*f**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19598631?\nAnswer: 3, 13, 163, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u - 2*t - 214 = 0, -7308*u + 7307*u + 2*t = -2*t + 7 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4900, 19565, 43986, 78145, 122024, 175605, 238870, 311801?\nAnswer: 394380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = i - 8. Let k be (-1 + -1 - i)\/4. Suppose 44 = 2*f - k*f. Is f a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 3 (b) 2\/7 (c) 10.5 (d) 0.8 (e) 0.13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*s - 36 = -6*d, d + 11 = 3*s. Let k be (2 + -1)\/4 + (d - 4). Determine u so that -1\/2*u - k - 1\/4*u**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1493548 is divided by 1156?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 10:51 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -459 + 586. What are the prime factors of a*(-8 - -19)*1?\nAnswer: 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8a554 + 15?\nAnswer: 8a569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176294?\nAnswer: 2, 181, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - n + 1. Let m(t) = -4*t**2 - 11*t + 7. Let d(u) = m(u) - 5*w(u). Let f be d(7). Calculate the greatest common factor of 9 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 0)\/((-14)\/(-70)). Let u = -7 + 6.7. Which is the second biggest value? (a) u (b) -1\/6 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, v: 2, g: 1, i: 2}. Give prob of picking 2 i.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-21)\/48*(2 - 192\/84). Let r(y) = -y**2 + y - 4. Let v be r(5). Let w = 73\/3 + v. Which is the third smallest value? (a) s (b) 11\/3 (c) 4 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + (-175)\/7)*(-4)\/8?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 54 + 46 = 0. Let x be (-11)\/(-2) - 6\/(-12). Suppose -n + b = -4*n + 7, -n - 2*b - x = 0. Solve -4*k = f + k + 26, 0 = -n*k - v for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13774488*k**2 - 17454459 wrt k?\nAnswer: 27548976*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -82 + 82. Let u(c) = 4*c - c + p*c - 2*c + 4. Determine u(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23593 or -23415?\nAnswer: -23593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 143\/(-33)*51\/(-17)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v = -6*v - 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6458669 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 380595931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.5 times 0.62?\nAnswer: -5.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/5 + 73182*o**2\/5 + 11025378*o + 10277102906\/5.\nAnswer: -2*(o - 37333)*(o + 371)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 700 + 524 = 9*v. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -59 + 120. Let v = x + -60.9999738. What is v rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 493 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 9 = -5*l, 5 = v + 2. Suppose l = -2*s, -y - 3*s = 4 - 2. What is the lowest common multiple of 6 and (3 + 0)\/(y\/(-2) - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 253760 and 24?\nAnswer: 761280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -4*o + 248, 2*r + 106 = -3*o + 8*o. Suppose 5*q = q - 272. Does q = r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 10:22 PM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -1. Let p(f) = -3*f - 4. Let v(k) = -p(k) + 5*s(k). Give v(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -342 (base 5) to base 7\nAnswer: -166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 50.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 2:01 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 35*o - 1320. What is r(37)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2797*o**2 + 122*o**2 + 2*o - 85*o**2.\nAnswer: 2834*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-10) + 1326\/(-1560)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 428*h - 587*h = -2544 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-36)\/(-8) - (-1)\/2. Suppose -z*v + 33 = -t, 3*v = -v + 5*t + 18. What is the remainder when 34 is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 5*g**2 - 5*g + 9. Let q be o(4). Solve 2*t - q*t = 6*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of q**4\/4 - 12*q**3 - 38*q**2 - 15*q + 5655. What is v(38)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 to the power of 1\/3, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + sqrt(7)) - ((sqrt(448))**2 + 2).\nAnswer: -448 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 37070 - -3?\nAnswer: 37073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -4. Let o be 2\/4*(-10)\/b. Solve w + o = -3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.17451 litres in millilitres?\nAnswer: 74174.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-5 - -3 - -4) + 2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f - 2*f + 4*f - 1)*(7 + 15 - 23 + 1 + 1 - 1 + (-1 + 3 - 3)*(2 + 0 - 1)).\nAnswer: 3*f + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - w - 7 = -21, 2*j - 1 = w for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1*5*(sqrt(176) + sqrt(176) + sqrt(176)*-1 + -1)*-6)**2.\nAnswer: -7200*sqrt(11) + 159300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 475 bigger than 505?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-113)\/(-6) - 5\/15. Let p = 18 - z. Which is the biggest value? (a) -1\/5 (b) p (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r - 19*r = -9*r. What is the nearest to 0.09 in 0.4, -2\/3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-1\/3))**(-35))**(1\/28)\/(c**(2\/9)*c**(2\/7)\/c)**(-3) assuming c is positive.\nAnswer: c**(-22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 25*(428\/140 - 3)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3864*i**3*m**3 - 68762*i**3*m**2 + 21*i*m**4 wrt m.\nAnswer: -23184*i**3 + 504*i*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 12, -4, -1, 3.\nAnswer: -4, -3, -2, -1, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 621676 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1007, 14, 29 in ascending order.\nAnswer: 14, 29, 1007","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12907.4 - 12926. What is the third smallest value in -1\/6, -0.1, y, -1\/3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5448 * 3284.\nAnswer: -17891232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4.2, -4, -5, -0.73, 1\/3, 3?\nAnswer: -0.73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 657*i - 649*i = 32 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a milligram in nanograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*j = 4*a + 66*j - 10, 1 = -3*a - 5*j. Factor 2\/11 + 6\/11*s**2 - 2\/11*s**a - 6\/11*s.\nAnswer: -2*(s - 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*((q**(-8)*q)\/q)\/q*q\/(q\/q**(-1\/3))*(q*q*q*q**(-1\/5))\/q*q**(1\/3)\/q assuming q is positive.\nAnswer: q**(-36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3348000 divided by -48?\nAnswer: -69750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 12 = -3*c. Let y be ((-2)\/12)\/(2\/3). Put 0.5, c, y in decreasing order.\nAnswer: c, 0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4070 and 631015.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16576 and 116624.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002248968 to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 2479531a?\nAnswer: 2479531a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4866511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aae when three letters picked without replacement from iaiaieai?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 5*y**2 - 5*y + 9. Let c be s(2). Suppose 6*x - 53 = c. What is the smallest common multiple of x and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v + 9*v**2 + 5*v**3 - 7*v**3 + 17*v**4 - 2*v - 18*v**2 + 11*v**2 in the form a*v**2 + q*v**4 + n*v**3 + f*v + c and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v. Let m(f) = 11*f - 12*f + f + 191*f**2 + 273*f**2. What is k(m(b))?\nAnswer: -928*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-9))\/(((-2)\/3)\/(-2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 568694971 to the nearest integer?\nAnswer: 829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 17*w**3 - w**2 + 1. Let d be p(-1). Let v = -11 - d. Solve 0 = v*c - 2*c + 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 4*q = -17, -2*r + 5*q - 11 + 31 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 354089, 354100, 354125, 354170, 354241, 354344, 354485, 354670?\nAnswer: 354905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 7. Factor -4 + 2*k**3 - 2*k + 5 + k**4 - o.\nAnswer: (k - 1)*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -49*h**3 - 327*h + 36 + 327*h - 3*h**4 - 96*h**3 wrt h.\nAnswer: -12*h**3 - 435*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -7*f. Let v(l) be the first derivative of 28 - 69 + 9*l**2 + 31. What is -5*v(x) - 12*w(x)?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -d6c9 (base 14) in base 8?\nAnswer: -110241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 2*z - l, 0 = 8*z - 130612*l + 130617*l - 71 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 2059?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from urtmbrmhurhtrbm. Give prob of picking 1 t, 1 h, and 1 b.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ucu when three letters picked without replacement from {c: 2, u: 9, s: 8}.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -1277*x - 7369. What is b(-6)?\nAnswer: 293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -u + 50, 3*u + x = 2*x + 157. Let f = u + -5. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3bddb (base 16) to base 3\nAnswer: 110110100220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - b + 2*b)*(-3 - 2*b + 3)*(-4 - 5 + 5).\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of 431*w**7\/42 - w**3\/3 + 11*w**2\/2 - 19*w + 2. Find the second derivative of q(b) wrt b.\nAnswer: 8620*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*z - 161*z = -12 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 262 + -259. Solve -d = a, -2*d - a = 2 - u for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mlm when three letters picked without replacement from emmleejeevlmejmmee.\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(3 + -10) + -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 143 and 1199165?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 747?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 5*t + 4*t + 27 = 0, 424241 = h + t + 424202 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 44*d - 93*d + 48*d. Let h(p) = -9*p. Determine h(k(y)).\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 6*j - 3. Let h be t(-7). Suppose 2*z + 188 = h*n, -3*n + 4*z + 24 + 107 = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hwhwhwhhwhhhhw. Give prob of sequence hhw.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 440 - 22133114?\nAnswer: -22132124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 681 and 1699549.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 1 = -2*g + 10, 6 = 2*b. Suppose g*z = -5*v + 2 - 1, -2*v + 4 = -2*z. Solve 5*p + 0*f - v = -4*f, -4*f - 5 = -p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -9092*s - 190922. What is i(-21)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 86162 and 670?\nAnswer: 430810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 2*v + c, 12*v - 9*v + 16 = 3*v + 4*c for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 4*j - 29*g = -28*g - 63, j - 53*g = 93 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34\/(-30))\/(182\/5460).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -753*m**5 + 8259*m**4 + 264*m**3 = 0 for m.\nAnswer: -8\/251, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-281)\/3091)\/(2\/4)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + a**2 + 80. Let g be v(0). Let i be (-254)\/4 - 32\/64. Let f = i + g. Solve 4*x = r - 19, -r + 0*r - f = 3*x for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5*t - 23, 2*m + 2*m = -2*t - 4. Let g(w) = -w - w + 4*w. Calculate g(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33153909 to the power of 1\/2, to the nearest integer?\nAnswer: 5758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 13052, 0.2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, -1.5, -0.4, 0.1, -0.044, -0.2, -2\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 4*z**2 + z. Let o be d(4). Solve o*l + 16 = 4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -11*a + 3*a - 1 + 0 + 6*a. Let p(r) = -r - 1. Let b(g) = 2*l(g) - 3*p(g). Give b(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1748.563ml?\nAnswer: 1.748563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*r + 2501 + 2034 - 1343 = 0. Solve 0 = -r*f + 4*f + 114 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 406847 by -1127.\nAnswer: -361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 217 or 218?\nAnswer: 217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-9))\/((-4)\/12). Let b(j) = -6*j**3 + j**2 - j - 1. Give b(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94, -399, -908, -1621, -2538, -3659, -4984?\nAnswer: -6513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/9)\/((-3)\/(135\/(-12)))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 4*s - 3. Let j be y(-4). Let v = -23 - j. Suppose t + 2 = q - 2, -5*q + v = -t. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (500\/(-50)*(-10)\/(-26))\/(7\/((-1820)\/20)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 472.8 + -467.8. What is the second smallest value in 2\/11, 11, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16043735*p**3 + 16199879*p**2 wrt p?\nAnswer: -96262410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 10 = -14*f, -10*f + 7*f + 76 = -5*i - 8*f + 111 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 1021*a - 3. Let o(c) = -6215*c + 2. Give o(f(i)).\nAnswer: -6345515*i + 18647","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-16)\/10)*(-5 + 500\/60)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2452928?\nAnswer: 2, 38327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1296*j**2*m - 2*j**2 + 14*j*m - 3*j - 7064624*m wrt j?\nAnswer: -2592*j*m - 4*j + 14*m - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/((d*(d*d**(-2))\/d)\/d))**(1\/27) assuming d is positive.\nAnswer: d**(4\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 355 - 166. Let p be (10 + b\/(-18))*0\/1. Solve 0 = 2*n - 5*k - 26, -5*n + 4*k = -p*k - 31 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -3*w + 69, 4*o + 400 - 456 = -2*w. Calculate the lowest common multiple of 1962 and w.\nAnswer: 21582","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -14*g**2. Let d(k) be the second derivative of k**4\/2 - 394*k. Calculate j(d(m)).\nAnswer: -504*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1244*u**3 - 262*u**3 - 1255*u**3.\nAnswer: -2761*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/10 - 14322\/(-8680)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6231400 - -11?\nAnswer: 6231411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1747222069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.81*0.3.\nAnswer: 0.843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 l when two letters picked without replacement from rrqfblcc.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(17\/(-1938)*-24*(-1)\/(-4))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-23 + 22)\/((-20)\/8). Let x be 3\/(0 + -2 + -2). What is the closest to 0.1 in s, x, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -4*a**4 + 4*a**3 + 9. Find the third derivative of g(q) wrt q.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202106 (base 8) in base 6?\nAnswer: 1232250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/2*(30 - 31). Solve -z*t - 11 = -1 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0502 and -3.\nAnswer: -0.1506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 27 = 85*m - 86*m, 3*p = 5*m + 49 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 38\/12 - 6\/36\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 10*v**2 - 9*v + 21. Calculate l(13).\nAnswer: 411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-12) - (-991221)\/132 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10*(1 - (-44)\/8). Suppose -3*g + 55 + m = 0. Calculate the least common multiple of g\/15*(1 - -2) and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22*(-147)\/(-154693)*(-315)\/(-140)*28\/18.\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 28 + -6105162?\nAnswer: -6105133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 355 or 8174\/23?\nAnswer: 8174\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-36)\/(-24))\/(6\/32). Let a(f) = -6 - 2*f + x - 2. Let k(s) be the second derivative of -s**4\/12 - s. What is k(a(g))?\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36685, 36691, 36697, 36703?\nAnswer: 36709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399 is divided by 131?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (0\/((-4)\/(-1)))\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-1)*(-74)\/185.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 144\/42*(1\/4)\/(29 - (-29 + 59))\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*-2*(-1)\/(-2). Let s = -4 - -5. Solve -4*h + s + 4 = u, k*u = -4*h - 1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 384\/(-204) - -14 - 12\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1073.82 + 981.611. Let c = b + 92. Let p = -0.065 + c. Round p to two dps.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from {i: 11, r: 3}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 11*w**2 - 9*w + 14. Let s be j(-10). Suppose -10 + 4 = -2*x. Put s, -6, x in decreasing order.\nAnswer: s, x, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 125*t - 253*t + 131*t + t**3 - t**2 - 4*t**4 to the form g*t + m*t**2 + i + n*t**3 + v*t**4 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - x + 4. Let j be w(0). Solve 4*z + 4*s = 36, 3*z - j*s - 3 = -4 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/7 (b) -46 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1370 divided by -274\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -3 - (-11 - -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 9*u**2 - 17*u - 26. Let r(t) = -25*t**2 + 52*t + 77. Let d(a) = 11*g(a) + 4*r(a). Factor d(p).\nAnswer: -(p - 22)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 t when three letters picked without replacement from ktktssfllfuf.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3139 = -c, d = -3*c + 1314 - 667. Calculate the remainder when d is divided by 91.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -37.9 and -43.\nAnswer: 1629.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001797 to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 + (6 - 38) - 69?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + -2)\/(7 - 5). Is i less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (20\/18)\/(-5) - 1181336\/(-468)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 186 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2370\/(-75) + (-7128)\/1620?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 smaller than 100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 53 or 45?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**3 + 308*r - 549*r + 241*r + 19*r**3 + 7*r**3.\nAnswer: 22*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -469803.249 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -871*s - 7914 = -20979 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1436219890?\nAnswer: 2, 5, 7, 47, 59, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*b**2 + 0 + 0)*(-2*b + 3*b - 3*b) + 8*b**3 + 16*b - 16*b - 4)*(-1 + 1 - 1).\nAnswer: -12*b**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -2. What is the closest to 2 in -0.5, s, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 182.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -20?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 3. Suppose -w + 13 = d, 6 + l = 2*d - 5*w. Let g = d - 7. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30579642 and 27.\nAnswer: 91738926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2246.353 millennia?\nAnswer: 2246353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 428289 (b) 2\/11 (c) 1 (d) 2\/59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -34.42 and -0.199.\nAnswer: 6.84958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23110087, 46220175, 69330263, 92440351, 115550439, 138660527?\nAnswer: 161770615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1140618151061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (390 + -30)\/(3\/9 + (-37615)\/112800). Round c to the nearest 100000.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/15, -1\/3, 0, -3, 0.3, 3601?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**4 - 1 + d**4 - 20*d - 49*d**3 - 2*d**4 + 51*d**3 - 5*d**2 + 6*d**2 to m*d**3 + g*d + i*d**4 + s + l*d**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/20)\/(2\/10). Solve 2*f + 2*f - 6 = -o*q, 5*f + 5*q = 15 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.037 plus -5232830554?\nAnswer: -5232830554.037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2001 - -2349. What is the highest common factor of 132 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4265687 or -4265688?\nAnswer: -4265687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**2 - 2*o + 20. Suppose c - 1 = -1. Let g be d(c). Suppose u - 10 = -u. Solve -u*z - 5*s - 17 = 3, 3*s = 5*z - g for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3735011*h - 3735137*h - 8316 for h.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*h = 5*r + 55, -3*h + 23 = -r. Let w(v) = v - 4. Let z be w(2). Let i = z + h. Solve -i*s = -k - 8, 2*s - 3*s - 17 = -5*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 21. Let a = i + 11. Suppose -a*t - t = -745. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 take away 48?\nAnswer: -47.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 - -9806174113\nAnswer: 9806174112.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 82295*0.3\nAnswer: 24688.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -173.62015 to zero decimal places.\nAnswer: -174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j - 4 + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 360*v + 275*v - 44 - 2*v**2 + 5 - v**3 + 39 to the form k*v + a + m*v**3 + h*v**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 6*r + 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(2\/43)\/b*b\/(b**(-4\/5)\/b))**(-2\/51)\/(((b*b**(-2)\/b)\/(b**(-4\/5)\/b))\/(b**(-2\/5))**(-2\/37)) assuming b is positive.\nAnswer: b**(175\/1591)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - -473626*1\/(-24). Let v = 19722 + n. Calculate the common denominator of v and 87\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11 - 441?\nAnswer: -430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.88 + -0.12. Which is the closest to -4\/3? (a) -3 (b) s (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -5\/12*s**6 + 0 + 4\/3*s**4 - 3*s + 3\/2*s**2 + 4\/3*s**3 + 1\/6*s**5. Let v(i) be the first derivative of t(i). Solve v(k) = 0.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*u + 146*u - 236 = 30*u. Is -6\/6191 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -2, 4510, 0, 5 in descending order.\nAnswer: 4510, 24, 5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**5 + 10*q**4 + 60*q**3 + 70*q**2 + 25*q.\nAnswer: -5*q*(q - 5)*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**4\/15 - 406*u**3\/15 - 82*u**2\/3 + 406*u\/15 + 136\/5 = 0.\nAnswer: -1, 1, 204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 28*r + 359. Is 3 a factor of q(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 864 or 863?\nAnswer: 864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-656)\/(-222))*(-1026)\/855.\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -21342013 (base 5) to base 8\nAnswer: -547310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 16 - 39 + 13 = 0. What is the remainder when 30 is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5951169148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -79365*i**3 - 34683*i - 1 wrt i.\nAnswer: -476190*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11951 and 106362?\nAnswer: 66901698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 245849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33 + 49. Let j be 1 - 4 - 38\/(-2). Calculate the highest common factor of j and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**3)**(-12\/5)*(z\/z**(2\/3)*z)**(1\/7) assuming z is positive.\nAnswer: z**(-736\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 2*x**2 - 2*x - 3. Let g(h) = -5*h - 2. Let i be g(-1). Give k(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1188.2 - 1195.273. Round q to one dp.\nAnswer: -7.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 1 - 8*g**2 - 6 + 23*g**2. Let t(p) = -23*p**2 + 8. Let v(f) = 8*q(f) + 5*t(f). Let a(j) be the second derivative of j**4\/12 - 3*j. Give v(a(i)).\nAnswer: 5*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 8*b**2 + 14*b - 12. Let v be (-20)\/(-2) + (-3)\/3. Let c be m(v). Let x = c - 36. Which is smaller: x or -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43 - (22 + ((8 - 9) + -23 - -10))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 1314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -6*i. Let f(u) be the second derivative of -1\/60*u**5 - 2*u - 2*u**2 + 0 + 0*u**3 + 0*u**4. Let v(s) be the first derivative of f(s). Give v(j(k)).\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 105 by -17526.\nAnswer: -35\/5842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*h - 850 + 5777 = 58*h - 11973 for h.\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 16*d**2 - 58*d + 54. Let h be c(19). Solve 0 = 8*s - h - 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (52 + -6)*1\/(-2). Sort -4, 0, 4, b in descending order.\nAnswer: 4, 0, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i*i**18*i*i*i*((i**11*i)\/i*i)\/i assuming i is positive.\nAnswer: i**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -4*w - 6. Suppose n - 5 = w. Suppose 0 = 4*l + 8 + 4. Sort -2, l, n in descending order.\nAnswer: n, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 519449512?\nAnswer: 2, 19, 37, 92363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -668, -1340, -2016, -2696, -3380, -4068?\nAnswer: -4760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 509, 0, -1, -71.8, 3\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 49139 = u, 0 = 107*u - 112*u - 35. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 1. Let j be (-17)\/(-30) + (-4)\/10. Let k be (133\/(-63) + 2)\/(7\/21). Which is the closest to z? (a) j (b) -5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32212013 (base 4) to base 13\nAnswer: -21299","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-15)*((-294975)\/(-342))\/15.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11102100287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.616 and -4?\nAnswer: 6.616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 7*f**2 - 2 + 4.\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -5*y**2 + 3126*y + 2 + 3138*y - y**3 - 6266*y. Suppose -5*s + 2*j - 70 = -j, 3*j + 70 = -5*s. Let w be s\/4 - 6\/(-12). Determine x(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1670 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 4. Let h be (-14)\/a - (-5)\/(-25). Suppose 3 - 14 = -3*r + 2*z, -4*z = -3*r + 19. Put -2, r, h in ascending order.\nAnswer: h, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 3\/5 (c) -17.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(4896\/(-34))*(-3)\/((-2)\/2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 + 11*s**2 + 0*s**2 + 11*s**2 - 3*s**2.\nAnswer: 20*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 32, -1, -0.1, -1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 7:24 PM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1837537 less than or equal to -3675073\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/6)\/(((-16)\/(-12))\/4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -8*g**2 - 5*g + 5. Suppose -44*i + 69*i - 150 = 0. Let t(j) = 7*j**2 + 5*j - 4. What is i*t(d) + 5*u(d)?\nAnswer: 2*d**2 + 5*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 42 = 30. Let h = -13 - b. Suppose 0 = -h*v + 4 + 16. Let w(d) = -2*d + 2. Determine w(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -1 - 14) + 5 - (46 - 68)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x**2 - x + 2. Let t be p(-2). Let a = t - -11. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.453371 and 7273.789.\nAnswer: 7273.335629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 20 = 5*q, 4*q = l - q - 8. Suppose -5*w = -l*m + 20 + 73, -5*m + 145 = -5*w. Suppose 4*a + m = 162. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 5) to base 10\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18)\/(-2*sqrt(3)) - sqrt(6)) + sqrt(6) + sqrt(6))\/(sqrt(27)\/(sqrt(9) - sqrt(81))).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*(2 + sqrt(13)))**2.\nAnswer: 64*sqrt(13) + 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4195016 is divided by 2569?\nAnswer: 2408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.31047033*0.14.\nAnswer: -0.0434658462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1277410895 to the nearest integer?\nAnswer: 35741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - -5)*(-3 + 24) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 8*o**2 - 7*o. Let n be v(-7). Suppose -4 + n = -q. Let p(f) = -f**3 + 3*f**2 + 2*f + 4. Calculate the remainder when p(3) is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -7*i + 23. Let c be u(4). Let s be -2*2\/16*(c - 7). Let r(m) = m**3 - m**2 - m - 2. What is r(s)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 - 4*c**2 + 2*c**2)*(-3 - 2 + 4)*(4 - 1 + 0).\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r + 3. Let t be w(-4). Let m(s) = -s**3 - 7*s**2 - 3*s + 3. Calculate the common denominator of 1*(-118)\/16 - t and m(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 2, s: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 6*g + g = 482005, -385601 = -4*t + g. What is t rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*k - 38*k**2 + 6*k + 79*k**2 - 2 - 40*k**2 - 13*k as x + p*k + c*k**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7758 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -122678, -245349, -368016, -490679, -613338, -735993?\nAnswer: -858644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 105*q + 739. Let n be b(-7). Let i = 229\/3 + -75. Factor -i*a**3 + 0 - 2\/3*a**2 + 4\/3*a + 2\/3*a**n.\nAnswer: 2*a*(a - 2)*(a - 1)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3411702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1013 + 95. Round u to the nearest ten.\nAnswer: -920","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**3 - 6*v**2 + 1408*v + 8188. Calculate b(-6).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 8:35 AM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 163147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 383, 400, 441, 512, 619, 768, 965, 1216?\nAnswer: 1527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2. Let m(f) = -119736*f. Calculate z(m(t)).\nAnswer: 14336709696*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -346 by -3.\nAnswer: 346\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*c**3*z - 643*c**3 - 84322*c**2 + 2*z wrt c.\nAnswer: -30*z - 3858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 5:42 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -413*b + 10. Let w be d(-1). Calculate the greatest common divisor of 47 and w.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/167 - -155\/1002. Let g = -30\/73 - -47\/292. Put g, -6\/7, v, -2\/9 in ascending order.\nAnswer: -6\/7, g, -2\/9, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -301 + 304. Let l = -5.9 + 0.9. Let t = -22\/5 + 76\/15. Which is the nearest to t? (a) -4 (b) l (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**4 + 7*o**5 + 2*o**4 + 176*o**5 - 87*o**5 - 88*o**5 - o**2 + o**2 + o**5 + (o**4 - o**4 - o**4)*(-o + 2 - 2).\nAnswer: 10*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -68070 rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 236 and -0.29545.\nAnswer: -69.7262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 35 + -74253?\nAnswer: -74216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o + 14 - 7 - 7 = 0. Are o and -3\/1102 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) + (sqrt(180) + (sqrt(180) - ((sqrt(180)*-2 + sqrt(180))*3 + sqrt(180))) - sqrt(180)))\/sqrt(6))\/(sqrt(24)\/(sqrt(400) + 1*sqrt(400))).\nAnswer: 80*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62979?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20130387.\nAnswer: 3, 59, 113731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 387862243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(4\/3)\/(o\/(o**(-5)\/o))*o**(-2)\/o**1*(o*o**(-3\/4)*o)\/o*o\/o**(2\/3)*o**(-6)\/((o\/(o**(-2\/13)*o*o))\/o) assuming o is positive.\nAnswer: o**(-1909\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**3 + 10*f - 10*f - 4*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 5. Let m = 3 - z. Suppose r = -m + 4. Solve 2 = -r*s + 10 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 v, and 1 t when three letters picked without replacement from {v: 1, t: 1, o: 2, s: 1, x: 1, q: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1008387 is divided by 205?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*z**5 - 146640*z**4 + 781312*z**3 - 1041408*z**2.\nAnswer: 4*z**2*(z - 4068)*(3*z - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 13) in base 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*g = 52 - 110 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248 is divided by 86.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 109911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and -3205515332573.6.\nAnswer: -3205515332570.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/26, 3, 6, 11?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 12 + -3*(7 - (-98336)\/(-24))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6819742*f + 6819715*f + 6819715*f - 20459173*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4730817*m**2 + 4734053*m**2 + 2559*m**3 + 415*m**3 wrt m.\nAnswer: 17844","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/10*(24\/32)\/(6\/(-4))?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (119\/(-10))\/((-33831)\/9666).\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2897906\/(-18) - 5) + (-2)\/9. What is z rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28760128*z**3 + 57520127*z**3 - 28760003*z**3.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 6*l**2 - 3*l + 8. Let i be k(-6). Let f = i - 16. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 10. Calculate the greatest common divisor of t and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 77070 + -50705?\nAnswer: 26163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15703?\nAnswer: 41, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + u - 69, 2*n - 4*u = 28 + 20. Let w be (6\/8)\/((-8)\/(-32)). Let p be -2 - -6 - (-6)\/w. Calculate the highest common divisor of p and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 - 2)*(0*f + f + 0*f) - 5*f + 9*f - 6*f)*((0*f**3 - f**3 + 5*f**3)*(0 + 0 + f) + f**4 + 2*f**4 - 2*f**4).\nAnswer: -20*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -15*t**2 + 14062*t - 544468. Give j(897).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from pstiis.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -122445 or -122404?\nAnswer: -122404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 4\/(-3)) + 695\/834?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184*o = 220*o - 396. Let y(w) = -2*w - 23. Give y(o).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -47 + 49. Let j be (-4)\/x*(-1 + 3\/6). Suppose 154 = 2*f + 3*f - 4*w, 0 = -w - j. Is f a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -366*y**6 - 2*y**5 - 2*y**4 - 13141*y**2.\nAnswer: -43920*y**3 - 120*y**2 - 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2 + 4*q - 3. Let b be h(-4). Suppose k - b = -11. Solve 3*a = -5*p - 0*p + k, 2*a + 1 = -p for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 1. Let g(k) = 31*k**2 + k - 6. What is -6*d(w) + g(w)?\nAnswer: 25*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-9)\/((612\/(-119))\/12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twelve sevenths of a week?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 5*t + 47, 72 = -5*c - t - 113. Calculate the common denominator of c and (-176)\/(-9)*(-1)\/(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -7*z**3 + 3*z**2 + 11*z - 5. Let b(k) = 8*k**3 - 3*k**2 - 12*k + 5. Determine -5*b(x) - 6*n(x).\nAnswer: 2*x**3 - 3*x**2 - 6*x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(3*(5 + (sqrt(320) - (sqrt(320) + -1)) - sqrt(320))*3 + -5 + -4))**2*-2 + 2.\nAnswer: -1397248 + 324000*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*(1 + 0) - 3. Let z = -4 - f. Calculate the common denominator of 97\/(-10) + 2 - z and 79\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 y when two letters picked without replacement from xbdxkxjxxjxxybdxb?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.3 - -1. Let y = -24\/185 - 10\/37. Which is the third smallest value? (a) -4 (b) q (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284009?\nAnswer: 11, 25819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -2. Let i(s) = 5*s**m + s**3 - 2*s + 5*s - s**2. Let y be i(-2). Solve 4*a = 3*h - 23, -3*a + 19 = 3*h + y*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 5:13 AM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(7 - 10 - 2).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 * -0.0080492.\nAnswer: -0.1046396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3683743?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 5*q**3 - 4118*q**2 + 2466*q + 2476. Give i(823).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u**7\/u)\/u)**4 assuming u is positive.\nAnswer: u**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1322*n**5 + 1402*n - 3?\nAnswer: -26440*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 + 0)*(2*h - 3 + 3) + 17*h - 9*h + h - 11*h - 11*h - h.\nAnswer: -18*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, l: 2, j: 2, i: 4, x: 1, u: 1}. Give prob of sequence ljx.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.35 - 4.65. Let u = 22 - 16. Let x = m + u. Does x = 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lmlqmjlmrmmmlmqml. What is prob of sequence llll?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l - 2*s = -12, -35*l - 6 = -38*l - 3*s for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 - 36 - 55*c**2 + 342*c**2.\nAnswer: 287*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 970763789*f + 970763793*f + 970763785*f - 2912291368*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 12 = -3*x. Suppose -q - 2 = -x*q. Let j = -238\/15 + 16. Is j at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + (-4)\/(-2) - -49. Let k be (1008\/(-60))\/((-4)\/t). Suppose o + 289 = c, -2*c + 5*o + k = -362. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (48\/18 + -3)*(0 + 15)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 11. Suppose 0 = -s*q - 9 + 53. Is 5 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142779864 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: Work out -3007892 - 2.\nAnswer: -3007894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(504)*1)\/(sqrt(64)\/(sqrt(32)\/sqrt(4)) + sqrt(8)).\nAnswer: 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*y = 24. Suppose -4*h = -y*h + 8. Suppose 5*m - 2*i - 463 = 0, -m = -h*m + i + 277. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21724578 to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -341653, -341664, -341685, -341716, -341757?\n\"Answer: -5*s**2 + 4*s - 341652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31.5 + 31.5067. What is o rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((-162)\/90 - (-2 + 3)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 995500 and 24500?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -214.392 + 198. Round i to one decimal place.\nAnswer: -16.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2172.526cm to nanometers.\nAnswer: 21725260000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.4 or -3611?\nAnswer: -3611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 5*l**3 - l + 1. Let m(r) = r + 6. Let y be m(-5). Let c be p(y). Suppose c*z = -0*z + 110. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 12:24 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 0*o + 8*o - 6*o + 5. Let m(u) = -4*u - 7. Let a(s) = -s. Suppose 3*l = -3 - 3. Let n(d) = l*m(d) + 2*a(d). What is -4*n(c) + 11*y(c)?\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -3 (b) -5 (c) -1\/18 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1486181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47 + 48. Put -10.7, 0.1, 0, c in increasing order.\nAnswer: -10.7, 0, 0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (204\/1288 + 52\/(-598))\/((-2)\/16)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 21*k**2 - 637*k + 259. Calculate w(27).\nAnswer: -1631","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xvrjgvvvrjfjxfxjjvv. What is prob of sequence jx?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11100010 (base 2) in base 4?\nAnswer: 3202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 1484*y + 30. Let t(u) = -94234*u - 1908. What is 318*j(z) + 5*t(z)?\nAnswer: 742*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*s**2 + 40621 - 113*s**2 + 36*s**2 - 2*s**3 - 40621 + 41*s**2.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g + g + 3*g + (-3 + 3*g + 3)*(3 + 0 + 1) + 2 - 2 + g.\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -24959109431010 + 5\nAnswer: -24959109431005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2, -0.4, 0.0355?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d - 2. Let s be z(-2). Is (s\/2)\/(3\/6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tx when two letters picked without replacement from sssxnesysxtsyst?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8852397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2 + 2 + 3*b + 2 + 11. Let n be o(-7). What is the remainder when -2 + 0 - ((-74)\/2 - n) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45 + 19 - 40*n + 13 + 12 + 2*n**2 to the form f*n**2 + r + b*n and give b.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-19)\/(y*y**(-2\/3))*(y\/y**(-30))\/y*y**(7\/9)\/y assuming y is positive.\nAnswer: y**(94\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 276 = 5*p, -4*j = 3*p - 2*j - 156. Let i = -50459\/16 - -3155. What is the common denominator of i and ((-6)\/(-20))\/(p\/975)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of q**7\/1260 - q**6\/180 - q**2\/2 + 32*q - 33. Let s(k) be the second derivative of t(k). Factor s(y).\nAnswer: y**3*(y - 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of 0*z**5 + 1\/30*z**6 - 7\/6*z**3 - 2*z + 0*z**2 + 0 + 0*z**4. Find the second derivative of c(a) wrt a.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-23 + -11 + 10)\/((-6)\/64). Let c = t - 256. Sort c, 4, -38 in ascending order.\nAnswer: -38, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2*p + 24 = 0. Let z(s) = s**2 - 5*s + 9. Let i be z(p). Solve i*w - 5 = 4*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**0*j)\/(j\/j**13))\/(j\/(j*j*j**(2\/15)*j*j*j*j)*j**12\/j) assuming j is positive.\nAnswer: j**(122\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + 4\/(((-24)\/930)\/(-2)) a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*x - 34*x - 129 = 60*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -367 (base 8) in base 3?\nAnswer: -100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 16, 31, 68, 139, 256, 431?\n\"Answer: 2*c**3 - c**2 + 4*c + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234*m + 467*m + 840 - 840.\nAnswer: 233*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1470?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, 0, 25, 72, 147, 256, 405, 600?\nAnswer: 847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 187\/56 + -6161\/1736. What is the common denominator of c and (-124)\/(-24) + (-1)\/4?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 951166020 and 840?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 61\/4 of a tonne?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 122 = -c, 84 = 3*l + 6*c - 3*c. Let z = -9 + l. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*n - 13*n = 4*n + 105 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1973 + -1970. Let y(g) = -4 - 2*g**2 + g**2 + 10. Let l(f) = 5. Suppose 3*m = 5*m + 8. Determine m*l(a) + q*y(a).\nAnswer: -3*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 23 = -5*g, -m + 4 = 3*g - 12 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22011021 (base 3) to base 6.\nAnswer: -43311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + -2 + 0 + 37. Let x = a + -20. What is the highest common factor of x and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.67782 hours to milliseconds.\nAnswer: 254440152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1036209519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + 12. Let c = -22 + v. Solve -c*w - 3*w = 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 63\/12 - 2\/8. Suppose 659984 = v + 4*n, q*v + 2*n + 660008 = 6*v. What is v rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-968)\/(-12100)*10\/(-8))\/(5\/(-4))\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -131732 or -131735?\nAnswer: -131735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.6841 and 0.1.\nAnswer: -0.5841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1388 - 1384. Suppose -5*d = -2*u - 10, 0 = n*d + 3*u + 35 - 43. Factor -1\/10*t**3 - 2\/5*t**d + 0 - 2\/5*t.\nAnswer: -t*(t + 2)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 260634?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 9*k**2. Let y(b) = 6*b**2. Give y(a(t)).\nAnswer: 486*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1164170*c**5 + 6*c**2 - 117907*c + 1 wrt c.\nAnswer: -69850200*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/40 of a millimeter?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -153.662 and 3.9.\nAnswer: -149.762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3073 divided by -11.\nAnswer: 3073\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 12 = 17*v - 15*v, -11 = -v - 3*a for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -714 or -5715\/8?\nAnswer: -5715\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 2:17 AM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 11:22 AM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9955*f - 10027*f + 2232 = 0 for f.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -120 + -1?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1589461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.4 - 4.6. Let o = 1 + s. What is the closest to 2\/3 in o, 4\/7, 0.05?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**3\/11 - 386*b**2\/11 - 766*b\/11 - 382\/11 = 0. What is b?\nAnswer: -191, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, w: 2, s: 8, m: 2, p: 2, q: 2}. What is prob of picking 1 b, 1 p, and 2 m?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.0051, 673, 1\/5?\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*l + 178101 = 43*l. List the prime factors of l.\nAnswer: 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177507 is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 1.5?\nAnswer: 7.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31477.999 - 31491. Let o = d - -13. Round o to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 13*c**2 + 12*c. Let l be v(-12). Suppose 3*m - 4*h - 70 - 49 = l, -m - 4*h + 61 = 0. What is the highest common factor of m and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}